TSTP Solution File: SWW391+1 by CSE---1.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW391+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 : n029.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 18:09:10 EDT 2024
% Result : Theorem 163.42s 163.14s
% Output : CNFRefutation 163.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW391+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 06:52:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 162.99/162.98 %-------------------------------------------
% 162.99/162.98 % File :CSE---1.7
% 162.99/162.98 % Problem :theBenchmark
% 162.99/162.98 % Transform :cnf
% 162.99/162.98 % Format :tptp:raw
% 162.99/162.98 % Command :java -jar mcs_scs.jar %d %s
% 162.99/162.98
% 162.99/162.98 % Result :Theorem 147.560000s
% 162.99/162.98 % Output :CNFRefutation 147.560000s
% 162.99/162.98 %-------------------------------------------
% 162.99/162.99 %------------------------------------------------------------------------------
% 162.99/162.99 % File : SWW391+1 : TPTP v8.2.0. Released v5.2.0.
% 162.99/162.99 % Domain : Software Verification
% 162.99/162.99 % Problem : Hoare's Logic with Procedures 435756, 5000 axioms selected
% 162.99/162.99 % Version : Especial.
% 162.99/162.99 % English :
% 162.99/162.99
% 162.99/162.99 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 162.99/162.99 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 162.99/162.99 % Source : [Bla11]
% 162.99/162.99 % Names : hoare_435756.5000.p [Bla11]
% 162.99/162.99
% 162.99/162.99 % Status : ContradictoryAxioms
% 162.99/162.99 % Rating : 0.67 v8.2.0, 0.64 v8.1.0, 0.69 v7.4.0, 0.83 v7.3.0, 0.69 v7.2.0, 0.66 v7.1.0, 0.74 v7.0.0, 0.73 v6.4.0, 0.69 v6.3.0, 0.75 v6.2.0, 0.84 v6.1.0, 0.87 v6.0.0, 0.78 v5.5.0, 0.81 v5.4.0, 0.82 v5.3.0, 0.85 v5.2.0
% 162.99/162.99 % Syntax : Number of formulae : 5230 (1678 unt; 0 def)
% 162.99/162.99 % Number of atoms : 12736 (4447 equ)
% 162.99/162.99 % Maximal formula atoms : 13 ( 2 avg)
% 162.99/162.99 % Number of connectives : 8495 ( 989 ~; 152 |; 716 &)
% 162.99/162.99 % ( 901 <=>;5737 =>; 0 <=; 0 <~>)
% 162.99/162.99 % Maximal formula depth : 22 ( 6 avg)
% 162.99/162.99 % Maximal term depth : 19 ( 2 avg)
% 162.99/162.99 % Number of predicates : 149 ( 148 usr; 0 prp; 1-6 aty)
% 162.99/162.99 % Number of functors : 388 ( 388 usr; 53 con; 0-7 aty)
% 162.99/162.99 % Number of variables : 16660 (16504 !; 156 ?)
% 162.99/162.99 % SPC : FOF_CAX_RFO_SEQ
% 162.99/162.99
% 162.99/162.99 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 162.99/162.99 % 2011-03-01 13:07:22
% 162.99/162.99 %------------------------------------------------------------------------------
% 162.99/162.99 %----Relevant facts (4985)
% 162.99/162.99 fof(fact_ext,axiom,
% 162.99/162.99 ! [V_g_2,V_f_2] :
% 162.99/162.99 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 162.99/162.99 => V_f_2 = V_g_2 ) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_empty,axiom,
% 162.99/162.99 ! [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))) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 162.99/162.99 ! [V_a_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_triple_Oinject,axiom,
% 162.99/162.99 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] :
% 162.99/162.99 ( 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)
% 162.99/162.99 <=> ( V_fun1_2 = V_fun1_H_2
% 162.99/162.99 & V_com_2 = V_com_H_2
% 162.99/162.99 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_cut,axiom,
% 162.99/162.99 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 162.99/162.99 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 162.99/162.99 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2)
% 162.99/162.99 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_hoare__derivs_Oinsert,axiom,
% 162.99/162.99 ! [V_ts_2,V_t_2,V_Ga_2,T_b] :
% 162.99/162.99 ( 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))))
% 162.99/162.99 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2)
% 162.99/162.99 => 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)) ) ) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_derivs__insertD,axiom,
% 162.99/162.99 ! [V_ts_2,V_t_2,V_Ga_2,T_b] :
% 162.99/162.99 ( 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))
% 162.99/162.99 => ( 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))))
% 162.99/162.99 & c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_triple_Orecs,axiom,
% 162.99/162.99 ! [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) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_triple_Osimps_I2_J,axiom,
% 162.99/162.99 ! [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) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_empty__not__insert,axiom,
% 162.99/162.99 ! [V_A_2,V_a_2,T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_insert__not__empty,axiom,
% 162.99/162.99 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_doubleton__eq__iff,axiom,
% 162.99/162.99 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 162.99/162.99 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 162.99/162.99 <=> ( ( V_a_2 = V_ca_2
% 162.99/162.99 & V_b_2 = V_d_2 )
% 162.99/162.99 | ( V_a_2 = V_d_2
% 162.99/162.99 & V_b_2 = V_ca_2 ) ) ) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_singleton__inject,axiom,
% 162.99/162.99 ! [V_b_2,V_a_2,T_b] :
% 162.99/162.99 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 162.99/162.99 => V_a_2 = V_b_2 ) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_bot__apply,axiom,
% 162.99/162.99 ! [V_x_2,T_c,T_b] :
% 162.99/162.99 ( class_Orderings_Obot(T_b)
% 162.99/162.99 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_hoare__derivs_OSkip,axiom,
% 162.99/162.99 ! [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)))) ).
% 162.99/162.99
% 162.99/162.99 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 163.02/162.99 ! [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)))) ).
% 163.02/162.99
% 163.02/162.99 fof(fact_conseq2,axiom,
% 163.02/162.99 ! [V_Qa_2,V_Q_Ha_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] :
% 163.02/162.99 ( 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_Ha_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 163.02/162.99 => ( ! [B_Z,B_s] :
% 163.02/162.99 ( hBOOL(hAPP(hAPP(V_Q_Ha_2,B_Z),B_s))
% 163.02/162.99 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s)) )
% 163.02/162.99 => 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)))) ) ) ).
% 163.02/162.99
% 163.02/162.99 fof(fact_conseq1,axiom,
% 163.02/162.99 ! [V_Pa_2,V_Qa_2,V_ca_2,V_P_Ha_2,V_Ga_2,T_b] :
% 163.02/162.99 ( 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_Ha_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 163.02/163.00 => ( ! [B_Z,B_s] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 163.02/163.00 => hBOOL(hAPP(hAPP(V_P_Ha_2,B_Z),B_s)) )
% 163.02/163.00 => 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)))) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_Comp,axiom,
% 163.02/163.00 ! [V_R_2,V_d_2,V_Qa_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] :
% 163.02/163.00 ( 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))))
% 163.02/163.00 => ( 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))))
% 163.02/163.00 => 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)))) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_insert__code,axiom,
% 163.02/163.00 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 163.02/163.00 <=> ( V_y_2 = V_x_2
% 163.02/163.00 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_insert__commute,axiom,
% 163.02/163.00 ! [V_A_2,V_y_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_insert__absorb2,axiom,
% 163.02/163.00 ! [V_A_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_the__elem__eq,axiom,
% 163.02/163.00 ! [V_x_2,T_b] : c_Set_Othe__elem(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ).
% 163.02/163.00
% 163.02/163.00 fof(fact_com_Osimps_I12_J,axiom,
% 163.02/163.00 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_com_Osimps_I13_J,axiom,
% 163.02/163.00 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 163.02/163.00
% 163.02/163.00 fof(fact_com_Osimps_I3_J,axiom,
% 163.02/163.00 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 163.02/163.00 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 163.02/163.00 <=> ( V_com1_2 = V_com1_H_2
% 163.02/163.00 & V_com2_2 = V_com2_H_2 ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_hoare__sound,axiom,
% 163.02/163.00 ! [V_ts_2,V_Ga_2,T_b] :
% 163.02/163.00 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2)
% 163.02/163.00 => c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,V_ts_2) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_conseq12,axiom,
% 163.02/163.00 ! [V_Qa_2,V_Pa_2,V_Q_Ha_2,V_ca_2,V_P_Ha_2,V_Ga_2,T_b] :
% 163.02/163.00 ( 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_Ha_2),V_ca_2),V_Q_Ha_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 163.02/163.00 => ( ! [B_Z,B_s] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 163.02/163.00 => ! [B_s_H] :
% 163.02/163.00 ( ! [B_Z_H] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(V_P_Ha_2,B_Z_H),B_s))
% 163.02/163.00 => hBOOL(hAPP(hAPP(V_Q_Ha_2,B_Z_H),B_s_H)) )
% 163.02/163.00 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)) ) )
% 163.02/163.00 => 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)))) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_subset__singletonD,axiom,
% 163.02/163.00 ! [V_x_2,V_A_2,T_b] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 163.02/163.00 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.00 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_singletonE,axiom,
% 163.02/163.00 ! [V_a_2,V_b_2,T_b] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 163.02/163.00 => V_b_2 = V_a_2 ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_singleton__iff,axiom,
% 163.02/163.00 ! [V_a_2,V_b_2,T_b] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 163.02/163.00 <=> V_b_2 = V_a_2 ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_folding__one_Osingleton,axiom,
% 163.02/163.00 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 163.02/163.00 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.02/163.00 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_fold1Set__sing,axiom,
% 163.02/163.00 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 163.02/163.00 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_b_2))
% 163.02/163.00 <=> V_a_2 = V_b_2 ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_insert__is__Un,axiom,
% 163.02/163.00 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_A_2) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_order__refl,axiom,
% 163.02/163.00 ! [V_x,T_a] :
% 163.02/163.00 ( class_Orderings_Opreorder(T_a)
% 163.02/163.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_equalityCE,axiom,
% 163.02/163.00 ! [V_ca_2,T_b,V_B_2,V_A_2] :
% 163.02/163.00 ( V_A_2 = V_B_2
% 163.02/163.00 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.02/163.00 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) )
% 163.02/163.00 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.02/163.00 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_equalityI,axiom,
% 163.02/163.00 ! [V_B_2,V_A_2,T_b] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.02/163.00 => V_A_2 = V_B_2 ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_emptyE,axiom,
% 163.02/163.00 ! [V_a_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_insertE,axiom,
% 163.02/163.00 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 163.02/163.00 => ( V_a_2 != V_b_2
% 163.02/163.00 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_insertCI,axiom,
% 163.02/163.00 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 163.02/163.00 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 163.02/163.00 => V_a_2 = V_b_2 )
% 163.02/163.00 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_subsetD,axiom,
% 163.02/163.00 ! [V_ca_2,V_B_2,V_A_2,T_b] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.02/163.00 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_UnE,axiom,
% 163.02/163.00 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 163.02/163.00 ( 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)))
% 163.02/163.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.02/163.00 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_UnCI,axiom,
% 163.02/163.00 ! [V_A_2,V_B_2,V_ca_2,T_b] :
% 163.02/163.00 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 163.02/163.00 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) )
% 163.02/163.00 => 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))) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_empty__subsetI,axiom,
% 163.02/163.00 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_subset__refl,axiom,
% 163.02/163.00 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2)) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_Un__upper1,axiom,
% 163.02/163.00 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_Un__upper2,axiom,
% 163.02/163.00 ! [V_A_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_Un__absorb,axiom,
% 163.02/163.00 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 163.02/163.00
% 163.02/163.00 fof(fact_le__fun__def,axiom,
% 163.02/163.00 ! [V_g_2,V_f_2,T_b,T_c] :
% 163.02/163.00 ( class_Orderings_Oord(T_c)
% 163.02/163.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.02/163.00 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_mem__def,axiom,
% 163.02/163.00 ! [V_A_2,V_x_2,T_b] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.00 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_Un__commute,axiom,
% 163.02/163.00 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_linorder__linear,axiom,
% 163.02/163.00 ! [V_y,V_x,T_a] :
% 163.02/163.00 ( class_Orderings_Olinorder(T_a)
% 163.02/163.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.02/163.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_subset__Un__eq,axiom,
% 163.02/163.00 ! [V_B_2,V_A_2,T_b] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.00 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_set__eq__subset,axiom,
% 163.02/163.00 ! [T_b,V_B_2,V_A_2] :
% 163.02/163.00 ( V_A_2 = V_B_2
% 163.02/163.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_order__eq__iff,axiom,
% 163.02/163.00 ! [V_y_2,V_x_2,T_b] :
% 163.02/163.00 ( class_Orderings_Oorder(T_b)
% 163.02/163.00 => ( V_x_2 = V_y_2
% 163.02/163.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.02/163.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_Un__left__absorb,axiom,
% 163.02/163.00 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_Un__left__commute,axiom,
% 163.02/163.00 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_Un__iff,axiom,
% 163.02/163.00 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 163.02/163.00 ( 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)))
% 163.02/163.00 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.02/163.00 | hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_Un__assoc,axiom,
% 163.02/163.00 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_bex__Un,axiom,
% 163.02/163.00 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 163.02/163.00 ( ? [B_x] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.02/163.00 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.02/163.00 <=> ( ? [B_x] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.02/163.00 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.02/163.00 | ? [B_x] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 163.02/163.00 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_ball__Un,axiom,
% 163.02/163.00 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 163.02/163.00 ( ! [B_x] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.02/163.00 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.02/163.00 <=> ( ! [B_x] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.02/163.00 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.02/163.00 & ! [B_x] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 163.02/163.00 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_equalityD1,axiom,
% 163.02/163.00 ! [T_b,V_B_2,V_A_2] :
% 163.02/163.00 ( V_A_2 = V_B_2
% 163.02/163.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_equalityD2,axiom,
% 163.02/163.00 ! [T_b,V_B_2,V_A_2] :
% 163.02/163.00 ( V_A_2 = V_B_2
% 163.02/163.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_order__eq__refl,axiom,
% 163.02/163.00 ! [V_y,V_x,T_a] :
% 163.02/163.00 ( class_Orderings_Opreorder(T_a)
% 163.02/163.00 => ( V_x = V_y
% 163.02/163.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 163.02/163.00
% 163.02/163.00 fof(fact_UnI1,axiom,
% 163.02/163.00 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 163.02/163.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.02/163.01 => 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))) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_UnI2,axiom,
% 163.02/163.01 ! [V_A_2,V_B_2,V_ca_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 163.02/163.01 => 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))) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_le__funD,axiom,
% 163.02/163.01 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 163.02/163.01 ( class_Orderings_Oord(T_c)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_Un__absorb1,axiom,
% 163.02/163.01 ! [V_B_2,V_A_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_Un__absorb2,axiom,
% 163.02/163.01 ! [V_A_2,V_B_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_eqset__imp__iff,axiom,
% 163.02/163.01 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 163.02/163.01 ( V_A_2 = V_B_2
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.01 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_eqelem__imp__iff,axiom,
% 163.02/163.01 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 163.02/163.01 ( V_x_2 = V_y_2
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.01 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_in__mono,axiom,
% 163.02/163.01 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_order__antisym__conv,axiom,
% 163.02/163.01 ! [V_x_2,V_y_2,T_b] :
% 163.02/163.01 ( class_Orderings_Oorder(T_b)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.02/163.01 <=> V_x_2 = V_y_2 ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_eq__mem__trans,axiom,
% 163.02/163.01 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 163.02/163.01 ( V_a_2 = V_b_2
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_ord__eq__le__trans,axiom,
% 163.02/163.01 ! [V_c,V_b,V_a,T_a] :
% 163.02/163.01 ( class_Orderings_Oord(T_a)
% 163.02/163.01 => ( V_a = V_b
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_xt1_I3_J,axiom,
% 163.02/163.01 ! [V_c,V_b,V_a,T_a] :
% 163.02/163.01 ( class_Orderings_Oorder(T_a)
% 163.02/163.01 => ( V_a = V_b
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_set__rev__mp,axiom,
% 163.02/163.01 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_set__mp,axiom,
% 163.02/163.01 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_subset__trans,axiom,
% 163.02/163.01 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_ord__le__eq__trans,axiom,
% 163.02/163.01 ! [V_c,V_b,V_a,T_a] :
% 163.02/163.01 ( class_Orderings_Oord(T_a)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.02/163.01 => ( V_b = V_c
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_xt1_I4_J,axiom,
% 163.02/163.01 ! [V_c,V_a,V_b,T_a] :
% 163.02/163.01 ( class_Orderings_Oorder(T_a)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 163.02/163.01 => ( V_b = V_c
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_order__antisym,axiom,
% 163.02/163.01 ! [V_y,V_x,T_a] :
% 163.02/163.01 ( class_Orderings_Oorder(T_a)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.02/163.01 => V_x = V_y ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_order__trans,axiom,
% 163.02/163.01 ! [V_z,V_y,V_x,T_a] :
% 163.02/163.01 ( class_Orderings_Opreorder(T_a)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_xt1_I5_J,axiom,
% 163.02/163.01 ! [V_x,V_y,T_a] :
% 163.02/163.01 ( class_Orderings_Oorder(T_a)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.02/163.01 => V_x = V_y ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_xt1_I6_J,axiom,
% 163.02/163.01 ! [V_z,V_x,V_y,T_a] :
% 163.02/163.01 ( class_Orderings_Oorder(T_a)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_Un__least,axiom,
% 163.02/163.01 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_Un__mono,axiom,
% 163.02/163.01 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_equalityE,axiom,
% 163.02/163.01 ! [T_b,V_B_2,V_A_2] :
% 163.02/163.01 ( V_A_2 = V_B_2
% 163.02/163.01 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.01 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_le__funE,axiom,
% 163.02/163.01 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 163.02/163.01 ( class_Orderings_Oord(T_c)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_linorder__le__cases,axiom,
% 163.02/163.01 ! [V_y,V_x,T_a] :
% 163.02/163.01 ( class_Orderings_Olinorder(T_a)
% 163.02/163.01 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_subset__insert,axiom,
% 163.02/163.01 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 163.02/163.01 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 163.02/163.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_insert__subset,axiom,
% 163.02/163.01 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2))
% 163.02/163.01 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 163.02/163.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_empty__fold1SetE,axiom,
% 163.02/163.01 ! [V_x_2,V_f_2,T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_fold1Set__nonempty,axiom,
% 163.02/163.01 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 163.02/163.01 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_Un__empty__left,axiom,
% 163.02/163.01 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 163.02/163.01
% 163.02/163.01 fof(fact_Un__empty__right,axiom,
% 163.02/163.01 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 163.02/163.01
% 163.02/163.01 fof(fact_Un__empty,axiom,
% 163.02/163.01 ! [V_B_2,V_A_2,T_b] :
% 163.02/163.01 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.01 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.01 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_Un__insert__right,axiom,
% 163.02/163.01 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_Un__insert__left,axiom,
% 163.02/163.01 ! [V_C_2,V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_bot__least,axiom,
% 163.02/163.01 ! [V_x,T_a] :
% 163.02/163.01 ( class_Orderings_Obot(T_a)
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_all__not__in__conv,axiom,
% 163.02/163.01 ! [V_A_2,T_b] :
% 163.02/163.01 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.02/163.01 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_ex__in__conv,axiom,
% 163.02/163.01 ! [V_A_2,T_b] :
% 163.02/163.01 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.02/163.01 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_empty__iff,axiom,
% 163.02/163.01 ! [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)))) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_equals0D,axiom,
% 163.02/163.01 ! [V_a_2,T_b,V_A_2] :
% 163.02/163.01 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.01 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_subset__empty,axiom,
% 163.02/163.01 ! [V_A_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 163.02/163.01 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_insertI1,axiom,
% 163.02/163.01 ! [V_B_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_insert__iff,axiom,
% 163.02/163.01 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 163.02/163.01 <=> ( V_a_2 = V_b_2
% 163.02/163.01 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_insert__ident,axiom,
% 163.02/163.01 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 163.02/163.01 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 163.02/163.01 => ( hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)
% 163.02/163.01 <=> V_A_2 = V_B_2 ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_insertI2,axiom,
% 163.02/163.01 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_insert__absorb,axiom,
% 163.02/163.01 ! [V_A_2,V_a_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.02/163.01 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_subset__insertI,axiom,
% 163.02/163.01 ! [V_a_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_subset__insertI2,axiom,
% 163.02/163.01 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_insert__mono,axiom,
% 163.02/163.01 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_asm,axiom,
% 163.02/163.01 ! [V_Ga_2,V_ts_2,T_b] :
% 163.02/163.01 ( 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))
% 163.02/163.01 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_weaken,axiom,
% 163.02/163.01 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_b] :
% 163.02/163.01 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2)
% 163.02/163.01 => ( 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))
% 163.02/163.01 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_thin,axiom,
% 163.02/163.01 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 163.02/163.01 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_G_H_2),V_Ga_2))
% 163.02/163.01 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup1CI,axiom,
% 163.02/163.01 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 163.02/163.01 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 163.02/163.01 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 163.02/163.01 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup1E,axiom,
% 163.02/163.01 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 163.02/163.01 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 163.02/163.01 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup__apply,axiom,
% 163.02/163.01 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 163.02/163.01 ( class_Lattices_Olattice(T_b)
% 163.02/163.01 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup__bot__left,axiom,
% 163.02/163.01 ! [V_x,T_a] :
% 163.02/163.01 ( class_Lattices_Obounded__lattice__bot(T_a)
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup__bot__right,axiom,
% 163.02/163.01 ! [V_x,T_a] :
% 163.02/163.01 ( class_Lattices_Obounded__lattice__bot(T_a)
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup__eq__bot__iff,axiom,
% 163.02/163.01 ! [V_y_2,V_x_2,T_b] :
% 163.02/163.01 ( class_Lattices_Obounded__lattice__bot(T_b)
% 163.02/163.01 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 163.02/163.01 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 163.02/163.01 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_le__supE,axiom,
% 163.02/163.01 ! [V_x,V_b,V_a,T_a] :
% 163.02/163.01 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_x))
% 163.02/163.01 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.02/163.01 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup__mono,axiom,
% 163.02/163.01 ! [V_d,V_b,V_c,V_a,T_a] :
% 163.02/163.01 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_c),V_d))) ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup__least,axiom,
% 163.02/163.01 ! [V_z,V_x,V_y,T_a] :
% 163.02/163.01 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x)) ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_le__supI,axiom,
% 163.02/163.01 ! [V_b,V_x,V_a,T_a] :
% 163.02/163.01 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 163.02/163.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_x)) ) ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup__absorb1,axiom,
% 163.02/163.01 ! [V_x,V_y,T_a] :
% 163.02/163.01 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup__absorb2,axiom,
% 163.02/163.01 ! [V_y,V_x,T_a] :
% 163.02/163.01 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_eq__mem,axiom,
% 163.02/163.01 ! [V_y_2,V_x_2,T_b] :
% 163.02/163.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 163.02/163.01 <=> V_x_2 = V_y_2 ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup_Oidem,axiom,
% 163.02/163.01 ! [V_a,T_a] :
% 163.02/163.01 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup__idem,axiom,
% 163.02/163.01 ! [V_x,T_a] :
% 163.02/163.01 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup_Ocommute,axiom,
% 163.02/163.01 ! [V_b,V_a,T_a] :
% 163.02/163.01 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_a) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_inf__sup__aci_I5_J,axiom,
% 163.02/163.01 ! [V_y,V_x,T_a] :
% 163.02/163.01 ( class_Lattices_Olattice(T_a)
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup__commute,axiom,
% 163.02/163.01 ! [V_y,V_x,T_a] :
% 163.02/163.01 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup_Oleft__idem,axiom,
% 163.02/163.01 ! [V_b,V_a,T_a] :
% 163.02/163.01 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_inf__sup__aci_I8_J,axiom,
% 163.02/163.01 ! [V_y,V_x,T_a] :
% 163.02/163.01 ( class_Lattices_Olattice(T_a)
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup__left__idem,axiom,
% 163.02/163.01 ! [V_y,V_x,T_a] :
% 163.02/163.01 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_sup_Oleft__commute,axiom,
% 163.02/163.01 ! [V_c,V_a,V_b,T_a] :
% 163.02/163.01 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)) ) ).
% 163.02/163.01
% 163.02/163.01 fof(fact_inf__sup__aci_I7_J,axiom,
% 163.02/163.01 ! [V_z,V_y,V_x,T_a] :
% 163.02/163.01 ( class_Lattices_Olattice(T_a)
% 163.02/163.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_sup__left__commute,axiom,
% 163.02/163.02 ! [V_z,V_y,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_sup_Oassoc,axiom,
% 163.02/163.02 ! [V_c,V_b,V_a,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf__sup__aci_I6_J,axiom,
% 163.02/163.02 ! [V_z,V_y,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Olattice(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_sup__assoc,axiom,
% 163.02/163.02 ! [V_z,V_y,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_rev__predicate1D,axiom,
% 163.02/163.02 ! [V_Qa_2,T_b,V_x_2,V_Pa_2] :
% 163.02/163.02 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 163.02/163.02 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_predicate1D,axiom,
% 163.02/163.02 ! [V_x_2,V_Qa_2,V_Pa_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 163.02/163.02 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.02/163.02 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_sup1I1,axiom,
% 163.02/163.02 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 163.02/163.02 ( hBOOL(hAPP(V_A_2,V_x_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_sup1I2,axiom,
% 163.02/163.02 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 163.02/163.02 ( hBOOL(hAPP(V_B_2,V_x_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf__sup__ord_I3_J,axiom,
% 163.02/163.02 ! [V_y,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Olattice(T_a)
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_sup__ge1,axiom,
% 163.02/163.02 ! [V_y,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf__sup__ord_I4_J,axiom,
% 163.02/163.02 ! [V_x,V_y,T_a] :
% 163.02/163.02 ( class_Lattices_Olattice(T_a)
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_sup__ge2,axiom,
% 163.02/163.02 ! [V_x,V_y,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_le__iff__sup,axiom,
% 163.02/163.02 ! [V_y_2,V_x_2,T_b] :
% 163.02/163.02 ( class_Lattices_Osemilattice__sup(T_b)
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.02/163.02 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_le__sup__iff,axiom,
% 163.02/163.02 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 163.02/163.02 ( class_Lattices_Osemilattice__sup(T_b)
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2)),V_z_2))
% 163.02/163.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 163.02/163.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_le__supI1,axiom,
% 163.02/163.02 ! [V_b,V_a,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_le__supI2,axiom,
% 163.02/163.02 ! [V_a,V_b,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__sup(T_a)
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_fold1Set_Ointros,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 163.02/163.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.02/163.02 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_x_2)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__one_Oinsert,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_diff__single__insert,axiom,
% 163.02/163.02 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_subset__insert__iff,axiom,
% 163.02/163.02 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 163.02/163.02 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 163.02/163.02 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_nonempty__iff,axiom,
% 163.02/163.02 ! [T_b,V_A_2] :
% 163.02/163.02 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 <=> ? [B_x,B_B] :
% 163.02/163.02 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_B)
% 163.02/163.02 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_B)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Sup__fin_Oidem,axiom,
% 163.02/163.02 ! [V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Olattice(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Powp__mono,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_b,V_A_2)),c_Predicate_OPowp(T_b,V_B_2))) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_subsetI,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( ! [B_x] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) )
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_vimage__insert,axiom,
% 163.02/163.02 ! [V_B_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_vimage__singleton__eq,axiom,
% 163.02/163.02 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 163.02/163.02 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_insert__Diff,axiom,
% 163.02/163.02 ! [V_A_2,V_a_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.02/163.02 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = V_A_2 ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite_OemptyI,axiom,
% 163.02/163.02 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite_OinsertI,axiom,
% 163.02/163.02 ! [V_a_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_DiffI,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.02/163.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 163.02/163.02 => 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))) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_DiffE,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 163.02/163.02 ( 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)))
% 163.02/163.02 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite__Diff,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_vimageI,axiom,
% 163.02/163.02 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 163.02/163.02 ( hAPP(V_f_2,V_a_2) = V_b_2
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_minus__apply,axiom,
% 163.02/163.02 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 163.02/163.02 ( class_Groups_Ominus(T_b)
% 163.02/163.02 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_vimage__Diff,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Diff__idemp,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_vimage__code,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 163.02/163.02 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite,axiom,
% 163.02/163.02 ! [V_A_2,T_b] :
% 163.02/163.02 ( class_Finite__Set_Ofinite(T_b)
% 163.02/163.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite__code,axiom,
% 163.02/163.02 ! [V_A_2,T_b] :
% 163.02/163.02 ( class_Finite__Set_Ofinite(T_b)
% 163.02/163.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite__Diff2,axiom,
% 163.02/163.02 ! [V_A_2,V_B_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.02/163.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_fold__graph__imp__finite,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 163.02/163.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite__Diff__insert,axiom,
% 163.02/163.02 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))))
% 163.02/163.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Diff__iff,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 163.02/163.02 ( 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)))
% 163.02/163.02 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.02/163.02 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_DiffD1,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 163.02/163.02 ( 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)))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_DiffD2,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 163.02/163.02 ( 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)))
% 163.02/163.02 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_vimage__eq,axiom,
% 163.02/163.02 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 163.02/163.02 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_vimageD,axiom,
% 163.02/163.02 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_vimageI2,axiom,
% 163.02/163.02 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_empty__Diff,axiom,
% 163.02/163.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Diff__empty,axiom,
% 163.02/163.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Diff__cancel,axiom,
% 163.02/163.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_vimage__empty,axiom,
% 163.02/163.02 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Diff__subset,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Diff__mono,axiom,
% 163.02/163.02 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_double__diff,axiom,
% 163.02/163.02 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.02/163.02 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_vimage__mono,axiom,
% 163.02/163.02 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Un__Diff__cancel,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Un__Diff__cancel2,axiom,
% 163.02/163.02 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Un__Diff,axiom,
% 163.02/163.02 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_vimage__Un,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite_Oequations_I1_J,axiom,
% 163.02/163.02 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite__insert,axiom,
% 163.02/163.02 ! [V_A_2,V_a_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 163.02/163.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite__subset,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.02/163.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_rev__finite__subset,axiom,
% 163.02/163.02 ! [V_A_2,V_B_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite__UnI,axiom,
% 163.02/163.02 ! [V_Ga_2,V_F_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2))
% 163.02/163.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite__Un,axiom,
% 163.02/163.02 ! [V_Ga_2,V_F_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2)))
% 163.02/163.02 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.02/163.02 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 163.02/163.02 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_fold__graph_OemptyI,axiom,
% 163.02/163.02 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_empty__fold__graphE,axiom,
% 163.02/163.02 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2))
% 163.02/163.02 => V_x_2 = V_z_2 ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Diff1__fold__graph,axiom,
% 163.02/163.02 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.02 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__one_Oinsert__remove,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( ( 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))
% 163.02/163.02 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 163.02/163.02 & ( 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))
% 163.02/163.02 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_insert__Diff1,axiom,
% 163.02/163.02 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 163.02/163.02 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_insert__Diff__if,axiom,
% 163.02/163.02 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 163.02/163.02 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 163.02/163.02 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) )
% 163.02/163.02 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 163.02/163.02 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Diff__insert,axiom,
% 163.02/163.02 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Diff__insert2,axiom,
% 163.02/163.02 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_insert__Diff__single,axiom,
% 163.02/163.02 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Diff__subset__conv,axiom,
% 163.02/163.02 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2))
% 163.02/163.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Diff__partition,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__one_Oremove,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.02 => ( ( 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))
% 163.02/163.02 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 163.02/163.02 & ( 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))
% 163.02/163.02 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_fold__graph_OinsertI,axiom,
% 163.02/163.02 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 163.02/163.02 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 163.02/163.02 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Diff__insert__absorb,axiom,
% 163.02/163.02 ! [V_A_2,V_x_2,T_b] :
% 163.02/163.02 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.02 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__image__simple_Oremove,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 163.02/163.02 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.02/163.02 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Sup__fin_Oremove,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,T_b] :
% 163.02/163.02 ( class_Lattices_Olattice(T_b)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.02 => ( ( 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))
% 163.02/163.02 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 163.02/163.02 & ( 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))
% 163.02/163.02 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_diff__eq__diff__less__eq,axiom,
% 163.02/163.02 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 163.02/163.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.02/163.02 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2)
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 163.02/163.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_d_2)) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__one_Oclosed,axiom,
% 163.02/163.02 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite__empty__induct,axiom,
% 163.02/163.02 ! [V_Pa_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 163.02/163.02 => ( ! [B_a,B_A] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 163.02/163.02 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 163.02/163.02 => 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)))))) ) ) )
% 163.02/163.02 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.02/163.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.02/163.02 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite__subset__induct,axiom,
% 163.02/163.02 ! [V_Pa_2,V_A_2,V_F_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 163.02/163.02 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 163.02/163.02 => ( ! [B_a,B_F] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 163.02/163.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 163.02/163.02 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 163.02/163.02 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 163.02/163.02 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,T_b] :
% 163.02/163.02 ( class_Lattices_Olattice(T_b)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( ( 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))
% 163.02/163.02 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 163.02/163.02 & ( 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))
% 163.02/163.02 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__one__idem_Oidem,axiom,
% 163.02/163.02 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 163.02/163.02 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__image__simple_Oempty,axiom,
% 163.02/163.02 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.02/163.02 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Sup__fin_Osingleton,axiom,
% 163.02/163.02 ! [V_x_2,T_b] :
% 163.02/163.02 ( class_Lattices_Olattice(T_b)
% 163.02/163.02 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_diff__eq__diff__eq,axiom,
% 163.02/163.02 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 163.02/163.02 ( class_Groups_Oab__group__add(T_b)
% 163.02/163.02 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2)
% 163.02/163.02 => ( V_a_2 = V_b_2
% 163.02/163.02 <=> V_ca_2 = V_d_2 ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Sup__fin_Oin__idem,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,T_b] :
% 163.02/163.02 ( class_Lattices_Olattice(T_b)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__one__idem_Oin__idem,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.02 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,T_b] :
% 163.02/163.02 ( class_Lattices_Olattice(T_b)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Sup__fin_Osubset__idem,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( class_Lattices_Olattice(T_b)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Sup__fin_Ounion__idem,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( class_Lattices_Olattice(T_b)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.02/163.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__image__simple_Oinsert,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.02/163.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 163.02/163.02 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Sup__fin_Oinsert,axiom,
% 163.02/163.02 ! [V_x_2,V_A_2,T_b] :
% 163.02/163.02 ( class_Lattices_Olattice(T_b)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Sup__fin_Oclosed,axiom,
% 163.02/163.02 ! [V_A_2,T_b] :
% 163.02/163.02 ( class_Lattices_Olattice(T_b)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_insert__fold1SetE,axiom,
% 163.02/163.02 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2)),V_x_2))
% 163.02/163.02 => ~ ! [B_a,B_A] :
% 163.02/163.02 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_fold1Set_Oequations,axiom,
% 163.02/163.02 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2)),V_a3_2))
% 163.02/163.02 <=> ? [B_a,B_A] :
% 163.02/163.02 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 163.02/163.02 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 163.02/163.02 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_setsum__diff1__ring,axiom,
% 163.02/163.02 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 163.02/163.02 ( class_Rings_Oring(T_c)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.02/163.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_setsum__diff1,axiom,
% 163.02/163.02 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 163.02/163.02 ( class_Groups_Oab__group__add(T_c)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.02/163.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 163.02/163.02 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.02/163.02 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_fold__graph__permute__diff,axiom,
% 163.02/163.02 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 163.02/163.02 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_x_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.02/163.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 163.02/163.02 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( class_Lattices_Olattice(T_b)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.02/163.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.02/163.02 => ( 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))
% 163.02/163.02 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Sup__fin_Ounion__inter,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( class_Lattices_Olattice(T_b)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.02/163.02 => ( 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))
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_psubset__insert__iff,axiom,
% 163.02/163.02 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 163.02/163.02 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 163.02/163.02 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 163.02/163.02 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 163.02/163.02 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.02/163.02 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.02/163.02 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.02/163.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.02/163.02 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf1I,axiom,
% 163.02/163.02 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 163.02/163.02 ( hBOOL(hAPP(V_A_2,V_x_2))
% 163.02/163.02 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 163.02/163.02 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf1E,axiom,
% 163.02/163.02 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 163.02/163.02 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 163.02/163.02 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_IntI,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 163.02/163.02 => 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))) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_IntE,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 163.02/163.02 ( 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)))
% 163.02/163.02 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.02/163.02 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_finite__Int,axiom,
% 163.02/163.02 ! [V_Ga_2,V_F_2,T_b] :
% 163.02/163.02 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.02/163.02 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) )
% 163.02/163.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 163.02/163.02 ! [V_c,V_b,V_a,T_a] :
% 163.02/163.02 ( class_Groups_Oab__semigroup__mult(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_times_Oidem,axiom,
% 163.02/163.02 ! [V_a,T_a] :
% 163.02/163.02 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_mult__idem,axiom,
% 163.02/163.02 ! [V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf_Oidem,axiom,
% 163.02/163.02 ! [V_a,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf__idem,axiom,
% 163.02/163.02 ! [V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf_Ocommute,axiom,
% 163.02/163.02 ! [V_b,V_a,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_a) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf__sup__aci_I1_J,axiom,
% 163.02/163.02 ! [V_y,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Olattice(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf__commute,axiom,
% 163.02/163.02 ! [V_y,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_mult__left__idem,axiom,
% 163.02/163.02 ! [V_b,V_a,T_a] :
% 163.02/163.02 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf_Oleft__idem,axiom,
% 163.02/163.02 ! [V_b,V_a,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf__sup__aci_I4_J,axiom,
% 163.02/163.02 ! [V_y,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Olattice(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf__left__idem,axiom,
% 163.02/163.02 ! [V_y,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf_Oleft__commute,axiom,
% 163.02/163.02 ! [V_c,V_a,V_b,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf__sup__aci_I3_J,axiom,
% 163.02/163.02 ! [V_z,V_y,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Olattice(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf__left__commute,axiom,
% 163.02/163.02 ! [V_z,V_y,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf_Oassoc,axiom,
% 163.02/163.02 ! [V_c,V_b,V_a,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf__sup__aci_I2_J,axiom,
% 163.02/163.02 ! [V_z,V_y,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Olattice(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf__assoc,axiom,
% 163.02/163.02 ! [V_z,V_y,V_x,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf__apply,axiom,
% 163.02/163.02 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 163.02/163.02 ( class_Lattices_Olattice(T_b)
% 163.02/163.02 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_less__infI1,axiom,
% 163.02/163.02 ! [V_b,V_x,V_a,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_less__infI2,axiom,
% 163.02/163.02 ! [V_a,V_x,V_b,T_a] :
% 163.02/163.02 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf1D1,axiom,
% 163.02/163.02 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 163.02/163.02 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_inf1D2,axiom,
% 163.02/163.02 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 163.02/163.02 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 163.02/163.02 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_order__less__irrefl,axiom,
% 163.02/163.02 ! [V_x,T_a] :
% 163.02/163.02 ( class_Orderings_Opreorder(T_a)
% 163.02/163.02 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_linorder__neq__iff,axiom,
% 163.02/163.02 ! [V_y_2,V_x_2,T_b] :
% 163.02/163.02 ( class_Orderings_Olinorder(T_b)
% 163.02/163.02 => ( V_x_2 != V_y_2
% 163.02/163.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.02/163.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_not__less__iff__gr__or__eq,axiom,
% 163.02/163.02 ! [V_y_2,V_x_2,T_b] :
% 163.02/163.02 ( class_Orderings_Olinorder(T_b)
% 163.02/163.02 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.02/163.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 163.02/163.02 | V_x_2 = V_y_2 ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Int__absorb,axiom,
% 163.02/163.02 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Int__commute,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_linorder__less__linear,axiom,
% 163.02/163.02 ! [V_y,V_x,T_a] :
% 163.02/163.02 ( class_Orderings_Olinorder(T_a)
% 163.02/163.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.02/163.02 | V_x = V_y
% 163.02/163.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Int__left__absorb,axiom,
% 163.02/163.02 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Int__left__commute,axiom,
% 163.02/163.02 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_Int__assoc,axiom,
% 163.02/163.02 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_linorder__antisym__conv3,axiom,
% 163.02/163.02 ! [V_x_2,V_y_2,T_b] :
% 163.02/163.02 ( class_Orderings_Olinorder(T_b)
% 163.02/163.02 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 163.02/163.02 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.02/163.02 <=> V_x_2 = V_y_2 ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_linorder__neqE,axiom,
% 163.02/163.02 ! [V_y,V_x,T_a] :
% 163.02/163.02 ( class_Orderings_Olinorder(T_a)
% 163.02/163.02 => ( V_x != V_y
% 163.02/163.02 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.02/163.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 163.02/163.02
% 163.02/163.02 fof(fact_less__imp__neq,axiom,
% 163.02/163.02 ! [V_y,V_x,T_a] :
% 163.02/163.02 ( class_Orderings_Oorder(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.02/163.03 => V_x != V_y ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_order__less__not__sym,axiom,
% 163.02/163.03 ! [V_y,V_x,T_a] :
% 163.02/163.03 ( class_Orderings_Opreorder(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.02/163.03 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_order__less__imp__not__less,axiom,
% 163.02/163.03 ! [V_y,V_x,T_a] :
% 163.02/163.03 ( class_Orderings_Opreorder(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.02/163.03 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_order__less__imp__not__eq,axiom,
% 163.02/163.03 ! [V_y,V_x,T_a] :
% 163.02/163.03 ( class_Orderings_Oorder(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.02/163.03 => V_x != V_y ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_order__less__imp__not__eq2,axiom,
% 163.02/163.03 ! [V_y,V_x,T_a] :
% 163.02/163.03 ( class_Orderings_Oorder(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.02/163.03 => V_y != V_x ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_order__less__asym_H,axiom,
% 163.02/163.03 ! [V_b,V_a,T_a] :
% 163.02/163.03 ( class_Orderings_Opreorder(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.02/163.03 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_xt1_I9_J,axiom,
% 163.02/163.03 ! [V_a,V_b,T_a] :
% 163.02/163.03 ( class_Orderings_Oorder(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 163.02/163.03 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_ord__eq__less__trans,axiom,
% 163.02/163.03 ! [V_c,V_b,V_a,T_a] :
% 163.02/163.03 ( class_Orderings_Oord(T_a)
% 163.02/163.03 => ( V_a = V_b
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_xt1_I1_J,axiom,
% 163.02/163.03 ! [V_c,V_b,V_a,T_a] :
% 163.02/163.03 ( class_Orderings_Oorder(T_a)
% 163.02/163.03 => ( V_a = V_b
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_psubset__trans,axiom,
% 163.02/163.03 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.02/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_ord__less__eq__trans,axiom,
% 163.02/163.03 ! [V_c,V_b,V_a,T_a] :
% 163.02/163.03 ( class_Orderings_Oord(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.02/163.03 => ( V_b = V_c
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_xt1_I2_J,axiom,
% 163.02/163.03 ! [V_c,V_a,V_b,T_a] :
% 163.02/163.03 ( class_Orderings_Oorder(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 163.02/163.03 => ( V_b = V_c
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_order__less__trans,axiom,
% 163.02/163.03 ! [V_z,V_y,V_x,T_a] :
% 163.02/163.03 ( class_Orderings_Opreorder(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_xt1_I10_J,axiom,
% 163.02/163.03 ! [V_z,V_x,V_y,T_a] :
% 163.02/163.03 ( class_Orderings_Oorder(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_order__less__asym,axiom,
% 163.02/163.03 ! [V_y,V_x,T_a] :
% 163.02/163.03 ( class_Orderings_Opreorder(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.02/163.03 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_linorder__cases,axiom,
% 163.02/163.03 ! [V_y,V_x,T_a] :
% 163.02/163.03 ( class_Orderings_Olinorder(T_a)
% 163.02/163.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.02/163.03 => ( V_x != V_y
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_Inf__fin_Oidem,axiom,
% 163.02/163.03 ! [V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Olattice(T_a)
% 163.02/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 163.02/163.03 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.02/163.03 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.02/163.03 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_le__infE,axiom,
% 163.02/163.03 ! [V_b,V_a,V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)))
% 163.02/163.03 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.02/163.03 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_inf__mono,axiom,
% 163.02/163.03 ! [V_d,V_b,V_c,V_a,T_a] :
% 163.02/163.03 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_c),V_d))) ) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_inf__greatest,axiom,
% 163.02/163.03 ! [V_z,V_y,V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))) ) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_le__infI,axiom,
% 163.02/163.03 ! [V_b,V_a,V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))) ) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_inf__absorb2,axiom,
% 163.02/163.03 ! [V_x,V_y,T_a] :
% 163.02/163.03 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.02/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_inf__absorb1,axiom,
% 163.02/163.03 ! [V_y,V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.02/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_le__infI2,axiom,
% 163.02/163.03 ! [V_a,V_x,V_b,T_a] :
% 163.02/163.03 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_le__infI1,axiom,
% 163.02/163.03 ! [V_b,V_x,V_a,T_a] :
% 163.02/163.03 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_le__inf__iff,axiom,
% 163.02/163.03 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 163.02/163.03 ( class_Lattices_Osemilattice__inf(T_b)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_y_2),V_z_2)))
% 163.02/163.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.02/163.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_le__iff__inf,axiom,
% 163.02/163.03 ! [V_y_2,V_x_2,T_b] :
% 163.02/163.03 ( class_Lattices_Osemilattice__inf(T_b)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.02/163.03 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_inf__le2,axiom,
% 163.02/163.03 ! [V_y,V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_y)) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_inf__sup__ord_I2_J,axiom,
% 163.02/163.03 ! [V_y,V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Olattice(T_a)
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_y)) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_inf__le1,axiom,
% 163.02/163.03 ! [V_y,V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Osemilattice__inf(T_a)
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_x)) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_inf__sup__ord_I1_J,axiom,
% 163.02/163.03 ! [V_y,V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Olattice(T_a)
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_x)) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_inf__bot__left,axiom,
% 163.02/163.03 ! [V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Obounded__lattice__bot(T_a)
% 163.02/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_inf__bot__right,axiom,
% 163.02/163.03 ! [V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Obounded__lattice__bot(T_a)
% 163.02/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_sup__inf__distrib2,axiom,
% 163.02/163.03 ! [V_x,V_z,V_y,T_a] :
% 163.02/163.03 ( class_Lattices_Odistrib__lattice(T_a)
% 163.02/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_z),V_x)) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_inf__sup__distrib2,axiom,
% 163.02/163.03 ! [V_x,V_z,V_y,T_a] :
% 163.02/163.03 ( class_Lattices_Odistrib__lattice(T_a)
% 163.02/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_z),V_x)) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_sup__inf__distrib1,axiom,
% 163.02/163.03 ! [V_z,V_y,V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Odistrib__lattice(T_a)
% 163.02/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_inf__sup__distrib1,axiom,
% 163.02/163.03 ! [V_z,V_y,V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Odistrib__lattice(T_a)
% 163.02/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_sup__inf__absorb,axiom,
% 163.02/163.03 ! [V_y,V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Olattice(T_a)
% 163.02/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = V_x ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_inf__sup__absorb,axiom,
% 163.02/163.03 ! [V_y,V_x,T_a] :
% 163.02/163.03 ( class_Lattices_Olattice(T_a)
% 163.02/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = V_x ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_Int__iff,axiom,
% 163.02/163.03 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 163.02/163.03 ( 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)))
% 163.02/163.03 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.02/163.03 & hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_IntD1,axiom,
% 163.02/163.03 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 163.02/163.03 ( 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)))
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_IntD2,axiom,
% 163.02/163.03 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 163.02/163.03 ( 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)))
% 163.02/163.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_less__fun__def,axiom,
% 163.02/163.03 ! [V_g_2,V_f_2,T_b,T_c] :
% 163.02/163.03 ( class_Orderings_Oord(T_c)
% 163.02/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.02/163.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.02/163.03 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 163.02/163.03
% 163.02/163.03 fof(fact_linorder__not__less,axiom,
% 163.02/163.03 ! [V_y_2,V_x_2,T_b] :
% 163.02/163.03 ( class_Orderings_Olinorder(T_b)
% 163.02/163.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.02/163.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_linorder__not__le,axiom,
% 163.14/163.03 ! [V_y_2,V_x_2,T_b] :
% 163.14/163.03 ( class_Orderings_Olinorder(T_b)
% 163.14/163.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.14/163.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_linorder__le__less__linear,axiom,
% 163.14/163.03 ! [V_y,V_x,T_a] :
% 163.14/163.03 ( class_Orderings_Olinorder(T_a)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.14/163.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_order__less__le,axiom,
% 163.14/163.03 ! [V_y_2,V_x_2,T_b] :
% 163.14/163.03 ( class_Orderings_Oorder(T_b)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.14/163.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.14/163.03 & V_x_2 != V_y_2 ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_less__le__not__le,axiom,
% 163.14/163.03 ! [V_y_2,V_x_2,T_b] :
% 163.14/163.03 ( class_Orderings_Opreorder(T_b)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.14/163.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.14/163.03 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_order__le__less,axiom,
% 163.14/163.03 ! [V_y_2,V_x_2,T_b] :
% 163.14/163.03 ( class_Orderings_Oorder(T_b)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.14/163.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.14/163.03 | V_x_2 = V_y_2 ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_leI,axiom,
% 163.14/163.03 ! [V_y,V_x,T_a] :
% 163.14/163.03 ( class_Orderings_Olinorder(T_a)
% 163.14/163.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_not__leE,axiom,
% 163.14/163.03 ! [V_x,V_y,T_a] :
% 163.14/163.03 ( class_Orderings_Olinorder(T_a)
% 163.14/163.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_linorder__antisym__conv1,axiom,
% 163.14/163.03 ! [V_y_2,V_x_2,T_b] :
% 163.14/163.03 ( class_Orderings_Olinorder(T_b)
% 163.14/163.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.14/163.03 <=> V_x_2 = V_y_2 ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_order__neq__le__trans,axiom,
% 163.14/163.03 ! [V_b,V_a,T_a] :
% 163.14/163.03 ( class_Orderings_Oorder(T_a)
% 163.14/163.03 => ( V_a != V_b
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_xt1_I12_J,axiom,
% 163.14/163.03 ! [V_b,V_a,T_a] :
% 163.14/163.03 ( class_Orderings_Oorder(T_a)
% 163.14/163.03 => ( V_a != V_b
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_leD,axiom,
% 163.14/163.03 ! [V_x,V_y,T_a] :
% 163.14/163.03 ( class_Orderings_Olinorder(T_a)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.14/163.03 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_order__less__imp__le,axiom,
% 163.14/163.03 ! [V_y,V_x,T_a] :
% 163.14/163.03 ( class_Orderings_Opreorder(T_a)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_linorder__antisym__conv2,axiom,
% 163.14/163.03 ! [V_y_2,V_x_2,T_b] :
% 163.14/163.03 ( class_Orderings_Olinorder(T_b)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.14/163.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.14/163.03 <=> V_x_2 = V_y_2 ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_order__le__imp__less__or__eq,axiom,
% 163.14/163.03 ! [V_y,V_x,T_a] :
% 163.14/163.03 ( class_Orderings_Oorder(T_a)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.14/163.03 | V_x = V_y ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_order__le__neq__trans,axiom,
% 163.14/163.03 ! [V_b,V_a,T_a] :
% 163.14/163.03 ( class_Orderings_Oorder(T_a)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.14/163.03 => ( V_a != V_b
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_xt1_I11_J,axiom,
% 163.14/163.03 ! [V_a,V_b,T_a] :
% 163.14/163.03 ( class_Orderings_Oorder(T_a)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 163.14/163.03 => ( V_a != V_b
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_order__less__le__trans,axiom,
% 163.14/163.03 ! [V_z,V_y,V_x,T_a] :
% 163.14/163.03 ( class_Orderings_Opreorder(T_a)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_xt1_I7_J,axiom,
% 163.14/163.03 ! [V_z,V_x,V_y,T_a] :
% 163.14/163.03 ( class_Orderings_Oorder(T_a)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_order__le__less__trans,axiom,
% 163.14/163.03 ! [V_z,V_y,V_x,T_a] :
% 163.14/163.03 ( class_Orderings_Opreorder(T_a)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_xt1_I8_J,axiom,
% 163.14/163.03 ! [V_z,V_x,V_y,T_a] :
% 163.14/163.03 ( class_Orderings_Oorder(T_a)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_psubsetD,axiom,
% 163.14/163.03 ! [V_ca_2,V_B_2,V_A_2,T_b] :
% 163.14/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__empty__left,axiom,
% 163.14/163.03 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__empty__right,axiom,
% 163.14/163.03 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_disjoint__iff__not__equal,axiom,
% 163.14/163.03 ! [V_B_2,V_A_2,T_b] :
% 163.14/163.03 ( 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))
% 163.14/163.03 <=> ! [B_x] :
% 163.14/163.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.14/163.03 => ! [B_xa] :
% 163.14/163.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 163.14/163.03 => B_x != B_xa ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_insert__inter__insert,axiom,
% 163.14/163.03 ! [V_B_2,V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_not__psubset__empty,axiom,
% 163.14/163.03 ! [V_A_2,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__lower1,axiom,
% 163.14/163.03 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__lower2,axiom,
% 163.14/163.03 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__absorb2,axiom,
% 163.14/163.03 ! [V_B_2,V_A_2,T_b] :
% 163.14/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.14/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__absorb1,axiom,
% 163.14/163.03 ! [V_A_2,V_B_2,T_b] :
% 163.14/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.14/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__greatest,axiom,
% 163.14/163.03 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 163.14/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__mono,axiom,
% 163.14/163.03 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 163.14/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_diff__eq__diff__less,axiom,
% 163.14/163.03 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 163.14/163.03 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.14/163.03 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 163.14/163.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) ) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__Un__distrib,axiom,
% 163.14/163.03 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Un__Int__distrib,axiom,
% 163.14/163.03 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__Un__distrib2,axiom,
% 163.14/163.03 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Un__Int__distrib2,axiom,
% 163.14/163.03 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Un__Int__crazy,axiom,
% 163.14/163.03 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_less__supI2,axiom,
% 163.14/163.03 ! [V_a,V_b,V_x,T_a] :
% 163.14/163.03 ( class_Lattices_Osemilattice__sup(T_a)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_less__supI1,axiom,
% 163.14/163.03 ! [V_b,V_a,V_x,T_a] :
% 163.14/163.03 ( class_Lattices_Osemilattice__sup(T_a)
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_psubset__eq,axiom,
% 163.14/163.03 ! [V_B_2,V_A_2,T_b] :
% 163.14/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.14/163.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.14/163.03 & V_A_2 != V_B_2 ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_subset__iff__psubset__eq,axiom,
% 163.14/163.03 ! [V_B_2,V_A_2,T_b] :
% 163.14/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.14/163.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.14/163.03 | V_A_2 = V_B_2 ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_psubset__imp__subset,axiom,
% 163.14/163.03 ! [V_B_2,V_A_2,T_b] :
% 163.14/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_psubset__subset__trans,axiom,
% 163.14/163.03 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.14/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_subset__psubset__trans,axiom,
% 163.14/163.03 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.14/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.14/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Diff__Int__distrib,axiom,
% 163.14/163.03 ! [V_B_2,V_A_2,V_C_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__Diff,axiom,
% 163.14/163.03 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Diff__Int__distrib2,axiom,
% 163.14/163.03 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Diff__Int2,axiom,
% 163.14/163.03 ! [V_B_2,V_C_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_vimage__Int,axiom,
% 163.14/163.03 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_distrib__inf__le,axiom,
% 163.14/163.03 ! [V_z,V_y,V_x,T_a] :
% 163.14/163.03 ( class_Lattices_Olattice(T_a)
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)))) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_distrib__sup__le,axiom,
% 163.14/163.03 ! [V_z,V_y,V_x,T_a] :
% 163.14/163.03 ( class_Lattices_Olattice(T_a)
% 163.14/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)))) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__insert__left__if1,axiom,
% 163.14/163.03 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 163.14/163.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 163.14/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__insert__right__if1,axiom,
% 163.14/163.03 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 163.14/163.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.14/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__insert__left__if0,axiom,
% 163.14/163.03 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 163.14/163.03 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 163.14/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ).
% 163.14/163.03
% 163.14/163.03 fof(fact_Int__insert__right__if0,axiom,
% 163.14/163.03 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 163.15/163.03 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Int__insert__left,axiom,
% 163.15/163.03 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 163.15/163.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 163.15/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 163.15/163.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 163.15/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Int__insert__right,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 163.15/163.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 163.15/163.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Diff__triv,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.03 ( 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))
% 163.15/163.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Diff__disjoint,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Un__Int__assoc__eq,axiom,
% 163.15/163.03 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.15/163.03 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.15/163.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Diff__Int,axiom,
% 163.15/163.03 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Diff__Un,axiom,
% 163.15/163.03 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Un__Diff__Int,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ).
% 163.15/163.03
% 163.15/163.03 fof(fact_setsum__diff__nat,axiom,
% 163.15/163.03 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 163.15/163.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_inf__Sup__absorb,axiom,
% 163.15/163.03 ! [V_a_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_fold__graph__insert__swap,axiom,
% 163.15/163.03 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 163.15/163.03 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_y_2))
% 163.15/163.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 163.15/163.03 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2),V_y_2))) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.15/163.03 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.15/163.03 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_setsum__diff1__nat,axiom,
% 163.15/163.03 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 163.15/163.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 163.15/163.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_setsum__diff,axiom,
% 163.15/163.03 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.03 ( class_Groups_Oab__group__add(T_c)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2)) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_folding__one_Ounion__inter,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.15/163.03 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.03 => ( 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))
% 163.15/163.03 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_folding__one_Ounion__disjoint,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.15/163.03 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( 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))
% 163.15/163.03 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.15/163.03 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.15/163.03 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 163.15/163.03 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 163.15/163.03 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.15/163.03 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 163.15/163.03 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.15/163.03 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.15/163.03 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Inf__fin_Oremove,axiom,
% 163.15/163.03 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.03 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 163.15/163.03 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_setsum__strict__mono,axiom,
% 163.15/163.03 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 163.15/163.03 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.03 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( ! [B_x] :
% 163.15/163.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2))) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_setsum__diff1_H,axiom,
% 163.15/163.03 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 163.15/163.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_setsum_Oremove,axiom,
% 163.15/163.03 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 163.15/163.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Inf__fin_Ounion__inter,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.03 => ( 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))
% 163.15/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( 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))
% 163.15/163.03 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 163.15/163.03 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 163.15/163.03 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Inf__fin_Oinsert,axiom,
% 163.15/163.03 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_fold1__Un,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( 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))
% 163.15/163.03 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.15/163.03 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.15/163.03 => ( ! [B_x] :
% 163.15/163.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.15/163.03 => hAPP(V_g_2,B_x) = V_z_2 )
% 163.15/163.03 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_fold1__insert,axiom,
% 163.15/163.03 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.15/163.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.03 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__right__imp__eq,axiom,
% 163.15/163.03 ! [V_c,V_a,V_b,T_a] :
% 163.15/163.03 ( class_Groups_Ocancel__semigroup__add(T_a)
% 163.15/163.03 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)
% 163.15/163.03 => V_b = V_c ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__imp__eq,axiom,
% 163.15/163.03 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 163.15/163.03 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)
% 163.15/163.03 => V_b = V_c ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__left__imp__eq,axiom,
% 163.15/163.03 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Ocancel__semigroup__add(T_a)
% 163.15/163.03 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)
% 163.15/163.03 => V_b = V_c ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__right__cancel,axiom,
% 163.15/163.03 ! [V_ca_2,V_a_2,V_b_2,T_b] :
% 163.15/163.03 ( class_Groups_Ocancel__semigroup__add(T_b)
% 163.15/163.03 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_a_2)
% 163.15/163.03 <=> V_b_2 = V_ca_2 ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__left__cancel,axiom,
% 163.15/163.03 ! [V_ca_2,V_b_2,V_a_2,T_b] :
% 163.15/163.03 ( class_Groups_Ocancel__semigroup__add(T_b)
% 163.15/163.03 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ca_2)
% 163.15/163.03 <=> V_b_2 = V_ca_2 ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 163.15/163.03 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Oab__semigroup__add(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__le__cancel__right,axiom,
% 163.15/163.03 ! [V_b_2,V_ca_2,V_a_2,T_b] :
% 163.15/163.03 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_ca_2)))
% 163.15/163.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__le__cancel__left,axiom,
% 163.15/163.03 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 163.15/163.03 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_b_2)))
% 163.15/163.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__right__mono,axiom,
% 163.15/163.03 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__left__mono,axiom,
% 163.15/163.03 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__mono,axiom,
% 163.15/163.03 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__le__imp__le__right,axiom,
% 163.15/163.03 ! [V_b,V_c,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__le__imp__le__left,axiom,
% 163.15/163.03 ! [V_b,V_a,V_c,T_a] :
% 163.15/163.03 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__less__imp__less__left,axiom,
% 163.15/163.03 ! [V_b,V_a,V_c,T_a] :
% 163.15/163.03 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__less__imp__less__right,axiom,
% 163.15/163.03 ! [V_b,V_c,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__strict__mono,axiom,
% 163.15/163.03 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__strict__left__mono,axiom,
% 163.15/163.03 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__strict__right__mono,axiom,
% 163.15/163.03 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__less__cancel__left,axiom,
% 163.15/163.03 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 163.15/163.03 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_b_2)))
% 163.15/163.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__less__cancel__right,axiom,
% 163.15/163.03 ! [V_b_2,V_ca_2,V_a_2,T_b] :
% 163.15/163.03 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_ca_2)))
% 163.15/163.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Inf__fin_OF__eq,axiom,
% 163.15/163.03 ! [V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_diff__add__cancel,axiom,
% 163.15/163.03 ! [V_b,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__diff__cancel,axiom,
% 163.15/163.03 ! [V_b,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__le__less__mono,axiom,
% 163.15/163.03 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__less__le__mono,axiom,
% 163.15/163.03 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_fold1__singleton__def,axiom,
% 163.15/163.03 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 163.15/163.03 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 163.15/163.03 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_fold1__singleton,axiom,
% 163.15/163.03 ! [V_a_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Inf__fin_Osingleton,axiom,
% 163.15/163.03 ! [V_x_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_folding__one_Oeq__fold,axiom,
% 163.15/163.03 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 163.15/163.03 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_setsum__Un__nat,axiom,
% 163.15/163.03 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 163.15/163.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_sup__Inf__absorb,axiom,
% 163.15/163.03 ! [V_a_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Inf__fin_Oin__idem,axiom,
% 163.15/163.03 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Sup__fin_OF__eq,axiom,
% 163.15/163.03 ! [V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_A_2) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_setsum_Oinsert,axiom,
% 163.15/163.03 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 163.15/163.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_setsum__insert,axiom,
% 163.15/163.03 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 163.15/163.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.15/163.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 163.15/163.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_F_2)) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_setsum__Un__Int,axiom,
% 163.15/163.03 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_fold1__belowI,axiom,
% 163.15/163.03 ! [V_a_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Osemilattice__inf(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_below__fold1__iff,axiom,
% 163.15/163.03 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Osemilattice__inf(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)))
% 163.15/163.03 <=> ! [B_x] :
% 163.15/163.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_fold1__insert__idem,axiom,
% 163.15/163.03 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 163.15/163.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_fold1__Un2,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 163.15/163.03 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Inf__fin_Osubset__idem,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Inf__fin_Ounion__idem,axiom,
% 163.15/163.03 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Inf__le__Sup,axiom,
% 163.15/163.03 ! [V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2))) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_setsum_Oinsert__remove,axiom,
% 163.15/163.03 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 163.15/163.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_setsum__Un__disjoint,axiom,
% 163.15/163.03 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.03 => ( 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))
% 163.15/163.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_setsum__Un,axiom,
% 163.15/163.03 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.03 ( class_Groups_Oab__group__add(T_c)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_semilattice__big_OF__eq,axiom,
% 163.15/163.03 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 163.15/163.03 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_less__add__iff2,axiom,
% 163.15/163.03 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 163.15/163.03 ( class_Rings_Oordered__ring(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_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)))
% 163.15/163.03 <=> 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_a_2)),V_e_2)),V_d_2))) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_less__add__iff1,axiom,
% 163.15/163.03 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 163.15/163.03 ( class_Rings_Oordered__ring(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_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)))
% 163.15/163.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_le__add__iff2,axiom,
% 163.15/163.03 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 163.15/163.03 ( class_Rings_Oordered__ring(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_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)))
% 163.15/163.03 <=> 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_a_2)),V_e_2)),V_d_2))) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_le__add__iff1,axiom,
% 163.15/163.03 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 163.15/163.03 ( class_Rings_Oordered__ring(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_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)))
% 163.15/163.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_eq__add__iff2,axiom,
% 163.15/163.03 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 163.15/163.03 ( class_Rings_Oring(T_b)
% 163.15/163.03 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_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)
% 163.15/163.03 <=> 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_a_2)),V_e_2)),V_d_2) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_eq__add__iff1,axiom,
% 163.15/163.03 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 163.15/163.03 ( class_Rings_Oring(T_b)
% 163.15/163.03 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_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)
% 163.15/163.03 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_ca_2) = V_d_2 ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_Inf__fin_Oclosed,axiom,
% 163.15/163.03 ! [V_A_2,T_b] :
% 163.15/163.03 ( class_Lattices_Olattice(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_fold1__in,axiom,
% 163.15/163.03 ! [V_A_2,T_b] :
% 163.15/163.03 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.15/163.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.03 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),V_A_2)) ) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 163.15/163.03 ! [V_z,V_y,V_x,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_linorder__neqE__linordered__idom,axiom,
% 163.15/163.03 ! [V_y,V_x,T_a] :
% 163.15/163.03 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.03 => ( V_x != V_y
% 163.15/163.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.15/163.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 163.15/163.03 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 163.15/163.03 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 163.15/163.03 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 163.15/163.03 ! [V_d,V_c,V_a,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 163.15/163.03 ! [V_d,V_c,V_a,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 163.15/163.03 ! [V_c,V_a,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 163.15/163.03 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 163.15/163.03 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 163.15/163.03 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 163.15/163.03 ! [V_rx,V_ly,V_lx,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 163.15/163.03 ! [V_rx,V_ly,V_lx,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 163.15/163.03 ! [V_ry,V_rx,V_lx,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 163.15/163.03 ! [V_ry,V_rx,V_lx,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 163.15/163.03 ! [V_b,V_a,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_crossproduct__eq,axiom,
% 163.15/163.03 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 163.15/163.03 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 163.15/163.03 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_y_2))
% 163.15/163.03 <=> ( V_w_2 = V_x_2
% 163.15/163.03 | V_y_2 = V_z_2 ) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_combine__common__factor,axiom,
% 163.15/163.03 ! [V_c,V_b,V_e,V_a,T_a] :
% 163.15/163.03 ( class_Rings_Osemiring(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e)),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 163.15/163.03 ! [V_b,V_m,V_a,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_m) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 163.15/163.03 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_comm__semiring__class_Odistrib,axiom,
% 163.15/163.03 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.03 ( class_Rings_Ocomm__semiring(T_a)
% 163.15/163.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_crossproduct__noteq,axiom,
% 163.15/163.03 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 163.15/163.03 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 163.15/163.03 => ( ( V_a_2 != V_b_2
% 163.15/163.03 & V_ca_2 != V_d_2 )
% 163.15/163.03 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_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_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_ca_2)) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_diff__add__assoc2,axiom,
% 163.15/163.03 ! [V_i,V_j,V_k] :
% 163.15/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.15/163.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__diff__assoc2,axiom,
% 163.15/163.03 ! [V_i,V_j,V_k] :
% 163.15/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.15/163.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_diff__add__assoc,axiom,
% 163.15/163.03 ! [V_i,V_j,V_k] :
% 163.15/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.15/163.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_le__imp__diff__is__add,axiom,
% 163.15/163.03 ! [V_k_2,V_j_2,V_i_2] :
% 163.15/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.15/163.03 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 163.15/163.03 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_le__add__diff__inverse2,axiom,
% 163.15/163.03 ! [V_m,V_n] :
% 163.15/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.15/163.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_le__diff__conv2,axiom,
% 163.15/163.03 ! [V_i_2,V_j_2,V_k_2] :
% 163.15/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 163.15/163.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)))
% 163.15/163.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_add__diff__assoc,axiom,
% 163.15/163.03 ! [V_i,V_j,V_k] :
% 163.15/163.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.15/163.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) ) ).
% 163.15/163.03
% 163.15/163.03 fof(fact_le__add__diff__inverse,axiom,
% 163.15/163.03 ! [V_m,V_n] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.15/163.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__add__diff,axiom,
% 163.15/163.04 ! [V_m,V_n,V_k] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_k))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__diff__conv,axiom,
% 163.15/163.04 ! [V_i_2,V_k_2,V_j_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)),V_i_2))
% 163.15/163.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__square,axiom,
% 163.15/163.04 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__cube,axiom,
% 163.15/163.04 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)))) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_mult__le__mono1,axiom,
% 163.15/163.04 ! [V_k,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_mult__le__mono2,axiom,
% 163.15/163.04 ! [V_k,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_mult__le__mono,axiom,
% 163.15/163.04 ! [V_l,V_k,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__antisym,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.15/163.04 => V_m = V_n ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__trans,axiom,
% 163.15/163.04 ! [V_k,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_eq__imp__le,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( V_m = V_n
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__le__linear,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__refl,axiom,
% 163.15/163.04 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__or__eq__imp__le,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 | V_m = V_n )
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__neq__implies__less,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 => ( V_m != V_n
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__imp__le__nat,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__eq__less__or__eq,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.04 | V_m_2 = V_n_2 ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__less__le,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.04 & V_m_2 != V_n_2 ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__add__right__cancel,axiom,
% 163.15/163.04 ! [V_n_2,V_k_2,V_m_2] :
% 163.15/163.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)
% 163.15/163.04 <=> V_m_2 = V_n_2 ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__add__left__cancel,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.04 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)
% 163.15/163.04 <=> V_m_2 = V_n_2 ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__add__assoc,axiom,
% 163.15/163.04 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__add__left__commute,axiom,
% 163.15/163.04 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_z)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__add__commute,axiom,
% 163.15/163.04 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__add2,axiom,
% 163.15/163.04 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__add1,axiom,
% 163.15/163.04 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m))) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__iff__add,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.04 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__add__left__cancel__le,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)))
% 163.15/163.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_trans__le__add1,axiom,
% 163.15/163.04 ! [V_m,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_trans__le__add2,axiom,
% 163.15/163.04 ! [V_m,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_add__le__mono1,axiom,
% 163.15/163.04 ! [V_k,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_add__le__mono,axiom,
% 163.15/163.04 ! [V_l,V_k,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_add__leD2,axiom,
% 163.15/163.04 ! [V_n,V_k,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_add__leD1,axiom,
% 163.15/163.04 ! [V_n,V_k,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_add__leE,axiom,
% 163.15/163.04 ! [V_n,V_k,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 163.15/163.04 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_not__add__less1,axiom,
% 163.15/163.04 ! [V_j,V_i] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_i)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_not__add__less2,axiom,
% 163.15/163.04 ! [V_i,V_j] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_i)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_add__mult__distrib2,axiom,
% 163.15/163.04 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_add__mult__distrib,axiom,
% 163.15/163.04 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__add__left__cancel__less,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)))
% 163.15/163.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_trans__less__add1,axiom,
% 163.15/163.04 ! [V_m,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_trans__less__add2,axiom,
% 163.15/163.04 ! [V_m,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_add__less__mono1,axiom,
% 163.15/163.04 ! [V_k,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_add__less__mono,axiom,
% 163.15/163.04 ! [V_l,V_k,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__add__eq__less,axiom,
% 163.15/163.04 ! [V_n,V_m,V_l,V_k] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 163.15/163.04 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_add__lessD1,axiom,
% 163.15/163.04 ! [V_k,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__diff__iff,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)))
% 163.15/163.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__less__mono,axiom,
% 163.15/163.04 ! [V_c,V_b,V_a] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_b),V_c))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__less__mono2,axiom,
% 163.15/163.04 ! [V_l,V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__imp__diff__less,axiom,
% 163.15/163.04 ! [V_n,V_k,V_j] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_n)),V_k)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__mult__distrib,axiom,
% 163.15/163.04 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__mult__distrib2,axiom,
% 163.15/163.04 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__commute,axiom,
% 163.15/163.04 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_k)),V_j) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__le__self,axiom,
% 163.15/163.04 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__le__mono2,axiom,
% 163.15/163.04 ! [V_l,V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__le__mono,axiom,
% 163.15/163.04 ! [V_l,V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_l)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_l))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__diff__cancel,axiom,
% 163.15/163.04 ! [V_n,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 163.15/163.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = V_i ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_eq__diff__iff,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 163.15/163.04 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)
% 163.15/163.04 <=> V_m_2 = V_n_2 ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Nat_Odiff__diff__eq,axiom,
% 163.15/163.04 ! [V_n,V_m,V_k] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 163.15/163.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__diff__iff,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)))
% 163.15/163.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_add__diff__inverse,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__diff__conv,axiom,
% 163.15/163.04 ! [V_k_2,V_j_2,V_i_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)))
% 163.15/163.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__add__inverse2,axiom,
% 163.15/163.04 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__add__inverse,axiom,
% 163.15/163.04 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__diff__left,axiom,
% 163.15/163.04 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__cancel,axiom,
% 163.15/163.04 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__cancel2,axiom,
% 163.15/163.04 ! [V_n,V_k,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__diff__right,axiom,
% 163.15/163.04 ! [V_i,V_j,V_k] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.15/163.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__le__add__iff1,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 163.15/163.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_n_2)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__less__add__iff1,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 163.15/163.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_n_2)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__diff__add__eq1,axiom,
% 163.15/163.04 ! [V_n,V_m,V_u,V_i,V_j] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 163.15/163.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_u)),V_m)),V_n) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__eq__add__iff1,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 163.15/163.04 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)
% 163.15/163.04 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2) = V_n_2 ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__le__add__iff2,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 163.15/163.04 <=> 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),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__less__add__iff2,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 163.15/163.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__diff__add__eq2,axiom,
% 163.15/163.04 ! [V_n,V_m,V_u,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.15/163.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i)),V_u)),V_n)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__eq__add__iff2,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.15/163.04 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)
% 163.15/163.04 <=> V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_termination__basic__simps_I3_J,axiom,
% 163.15/163.04 ! [V_z,V_y,V_x] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__mult__assoc,axiom,
% 163.15/163.04 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__mult__commute,axiom,
% 163.15/163.04 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__not__refl,axiom,
% 163.15/163.04 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__neq__iff,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2] :
% 163.15/163.04 ( V_m_2 != V_n_2
% 163.15/163.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_linorder__neqE__nat,axiom,
% 163.15/163.04 ! [V_y,V_x] :
% 163.15/163.04 ( V_x != V_y
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__irrefl__nat,axiom,
% 163.15/163.04 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__not__refl2,axiom,
% 163.15/163.04 ! [V_m,V_n] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 163.15/163.04 => V_m != V_n ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__not__refl3,axiom,
% 163.15/163.04 ! [V_t,V_s] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 163.15/163.04 => V_s != V_t ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__less__cases,axiom,
% 163.15/163.04 ! [V_Pa_2,V_n_2,V_m_2] :
% 163.15/163.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 163.15/163.04 => ( ( V_m_2 = V_n_2
% 163.15/163.04 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 163.15/163.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 163.15/163.04 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_termination__basic__simps_I2_J,axiom,
% 163.15/163.04 ! [V_y,V_z,V_x] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_termination__basic__simps_I1_J,axiom,
% 163.15/163.04 ! [V_z,V_y,V_x] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_left__add__mult__distrib,axiom,
% 163.15/163.04 ! [V_k,V_j,V_u,V_i] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_u)),V_k) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_termination__basic__simps_I5_J,axiom,
% 163.15/163.04 ! [V_y,V_x] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_termination__basic__simps_I4_J,axiom,
% 163.15/163.04 ! [V_y,V_z,V_x] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__Diff1__less,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__Diff2__less,axiom,
% 163.15/163.04 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod_Oremove,axiom,
% 163.15/163.04 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Lattices_Olattice(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_x_2),V_A_2) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Lattices_Olattice(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_x_2),V_A_2) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold1__eq__fold,axiom,
% 163.15/163.04 ! [V_a_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.04 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_finite__induct,axiom,
% 163.15/163.04 ! [V_Pa_2,V_F_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.15/163.04 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 163.15/163.04 => ( ! [B_x,B_F] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 163.15/163.04 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 163.15/163.04 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 163.15/163.04 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 163.15/163.04 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_y_2)
% 163.15/163.04 => c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold1__antimono,axiom,
% 163.15/163.04 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min_Oidem,axiom,
% 163.15/163.04 ! [V_x,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf__assoc,axiom,
% 163.15/163.04 ! [V_z,V_y,V_x,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf_Oassoc,axiom,
% 163.15/163.04 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf__left__commute,axiom,
% 163.15/163.04 ! [V_z,V_y,V_x,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 163.15/163.04 ! [V_c,V_a,V_b,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf__left__idem,axiom,
% 163.15/163.04 ! [V_y,V_x,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 163.15/163.04 ! [V_b,V_a,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf__commute,axiom,
% 163.15/163.04 ! [V_y,V_x,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf_Ocommute,axiom,
% 163.15/163.04 ! [V_b,V_a,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_a) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf_Oidem,axiom,
% 163.15/163.04 ! [V_a,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Ofold__inf__insert,axiom,
% 163.15/163.04 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf__le1,axiom,
% 163.15/163.04 ! [V_y,V_x,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_x)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf__le2,axiom,
% 163.15/163.04 ! [V_y,V_x,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_y)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Ole__iff__inf,axiom,
% 163.15/163.04 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.15/163.04 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Ole__inf__iff,axiom,
% 163.15/163.04 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_y_2),V_z_2)))
% 163.15/163.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.15/163.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Ole__infI1,axiom,
% 163.15/163.04 ! [V_b,V_x,V_a,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Ole__infI2,axiom,
% 163.15/163.04 ! [V_a,V_x,V_b,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf__absorb1,axiom,
% 163.15/163.04 ! [V_y,V_x,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf__absorb2,axiom,
% 163.15/163.04 ! [V_x,V_y,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Ole__infI,axiom,
% 163.15/163.04 ! [V_b,V_a,V_x,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b))) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf__greatest,axiom,
% 163.15/163.04 ! [V_z,V_y,V_x,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oinf__mono,axiom,
% 163.15/163.04 ! [V_d,V_b,V_c,V_a,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_c),V_d))) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Ole__infE,axiom,
% 163.15/163.04 ! [V_b,V_a,V_x,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)))
% 163.15/163.04 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.15/163.04 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__le__iff__disj,axiom,
% 163.15/163.04 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 163.15/163.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 163.15/163.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__less__iff__disj,axiom,
% 163.15/163.04 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 163.15/163.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 163.15/163.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__less__iff__conj,axiom,
% 163.15/163.04 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)))
% 163.15/163.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 163.15/163.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oless__infI2,axiom,
% 163.15/163.04 ! [V_a,V_x,V_b,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Oless__infI1,axiom,
% 163.15/163.04 ! [V_b,V_x,V_a,T_a] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_a)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__add__distrib__left,axiom,
% 163.15/163.04 ! [V_z,V_y,V_x,T_a] :
% 163.15/163.04 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__diff__distrib__left,axiom,
% 163.15/163.04 ! [V_z,V_y,V_x,T_a] :
% 163.15/163.04 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 163.15/163.04 ! [V_z_2,V_f_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_z_2) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 163.15/163.04 ! [V_a2_2,V_a1_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_a2_2) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_inf__min,axiom,
% 163.15/163.04 ! [T_b] :
% 163.15/163.04 ( ( class_Lattices_Osemilattice__inf(T_b)
% 163.15/163.04 & class_Orderings_Olinorder(T_b) )
% 163.15/163.04 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold__empty,axiom,
% 163.15/163.04 ! [V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__diff,axiom,
% 163.15/163.04 ! [V_n,V_i,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_i)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)),V_i) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 163.15/163.04 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),V_b_2))) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__insert__le,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__seteq,axiom,
% 163.15/163.04 ! [V_A_2,V_B_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 163.15/163.04 => V_A_2 = V_B_2 ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__mono,axiom,
% 163.15/163.04 ! [V_A_2,V_B_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_union__fold__insert,axiom,
% 163.15/163.04 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)),V_B_2),V_A_2) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold__sup__insert,axiom,
% 163.15/163.04 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Lattices_Osemilattice__sup(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold__inf__insert,axiom,
% 163.15/163.04 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Lattices_Osemilattice__inf(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_psubset__card__mono,axiom,
% 163.15/163.04 ! [V_A_2,V_B_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 163.15/163.04 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.15/163.04 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_a_2),V_A_2) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod__insert,axiom,
% 163.15/163.04 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod_Oinsert,axiom,
% 163.15/163.04 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod__Un__Int,axiom,
% 163.15/163.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod_Ounion__inter,axiom,
% 163.15/163.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__Un__Int,axiom,
% 163.15/163.04 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card_Ounion__inter,axiom,
% 163.15/163.04 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_sup__le__fold__sup,axiom,
% 163.15/163.04 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Lattices_Osemilattice__sup(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2))) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold__inf__le__inf,axiom,
% 163.15/163.04 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Lattices_Osemilattice__inf(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2))) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__Diff__subset,axiom,
% 163.15/163.04 ! [V_A_2,V_B_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.15/163.04 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__Diff__subset__Int,axiom,
% 163.15/163.04 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.15/163.04 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__card__le__card__Diff,axiom,
% 163.15/163.04 ! [V_A_2,V_B_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Ofold1__belowI,axiom,
% 163.15/163.04 ! [V_a_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold1__below__iff,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 163.15/163.04 <=> ? [B_x] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 163.15/163.04 <=> ! [B_x] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold1__strict__below__iff,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 163.15/163.04 <=> ? [B_x] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_strict__below__fold1__iff,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 163.15/163.04 <=> ! [B_x] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__psubset,axiom,
% 163.15/163.04 ! [V_A_2,V_B_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold1__eq__fold__idem,axiom,
% 163.15/163.04 ! [V_a_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 163.15/163.04 ! [V_a_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Lattices_Olattice(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_a_2),V_A_2) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 163.15/163.04 ! [V_a_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Lattices_Olattice(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_a_2),V_A_2) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_folding__one_Oeq__fold_H,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.15/163.04 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_x_2),V_A_2) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod_Oinsert__remove,axiom,
% 163.15/163.04 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod_Ounion__disjoint,axiom,
% 163.15/163.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod__Un__disjoint,axiom,
% 163.15/163.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__Un__disjoint,axiom,
% 163.15/163.04 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__Diff1__le,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 163.15/163.04 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__ord__min,axiom,
% 163.15/163.04 ! [T_b] :
% 163.15/163.04 ( class_Orderings_Oord(T_b)
% 163.15/163.04 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 163.15/163.04 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__Diff__singleton,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__Diff__singleton__if,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 163.15/163.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card_Oremove,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min_Oremove,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 163.15/163.04 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 163.15/163.04 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 163.15/163.04 ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))
% 163.15/163.04 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 163.15/163.04 | ? [B_x,B_y] :
% 163.15/163.04 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 163.15/163.04 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 163.15/163.04 & c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),B_y) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 163.15/163.04 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_inf__nat__def,axiom,
% 163.15/163.04 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_one__reorient,axiom,
% 163.15/163.04 ! [V_x_2,T_b] :
% 163.15/163.04 ( class_Groups_Oone(T_b)
% 163.15/163.04 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 163.15/163.04 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 163.15/163.04 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 163.15/163.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.15/163.04 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_y_2),V_z_2)) = hAPP(hAPP(V_f_2,V_y_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 163.15/163.04 ! [V_a,T_a] :
% 163.15/163.04 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 163.15/163.04 ! [V_a,T_a] :
% 163.15/163.04 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_mult__1__left,axiom,
% 163.15/163.04 ! [V_a,T_a] :
% 163.15/163.04 ( class_Groups_Omonoid__mult(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_mult__1,axiom,
% 163.15/163.04 ! [V_a,T_a] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_mult__1__right,axiom,
% 163.15/163.04 ! [V_a,T_a] :
% 163.15/163.04 ( class_Groups_Omonoid__mult(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_mult_Ocomm__neutral,axiom,
% 163.15/163.04 ! [V_a,T_a] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod__eq__1__iff,axiom,
% 163.15/163.04 ! [V_f_2,V_F_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.15/163.04 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 163.15/163.04 <=> ! [B_x] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 163.15/163.04 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__mult__eq__1__iff,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2] :
% 163.15/163.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 163.15/163.04 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 163.15/163.04 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__mult__1__right,axiom,
% 163.15/163.04 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__1__eq__mult__iff,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2] :
% 163.15/163.04 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 163.15/163.04 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 163.15/163.04 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat__mult__1,axiom,
% 163.15/163.04 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fun__left__comm,axiom,
% 163.15/163.04 ! [T_b] :
% 163.15/163.04 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.15/163.04 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__add__one,axiom,
% 163.15/163.04 ! [V_a,T_a] :
% 163.15/163.04 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__1__mult,axiom,
% 163.15/163.04 ! [V_n,V_m,T_a] :
% 163.15/163.04 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n))) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 163.15/163.04 ! [V_m,T_a] :
% 163.15/163.04 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 163.15/163.04 ! [V_a,V_m,T_a] :
% 163.15/163.04 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 163.15/163.04 ! [V_m,V_a,T_a] :
% 163.15/163.04 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 163.15/163.04 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 163.15/163.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 163.15/163.04 => V_y_2 = V_x_2 ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod_Oempty,axiom,
% 163.15/163.04 ! [V_g_2,T_c,T_b] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.15/163.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod__empty,axiom,
% 163.15/163.04 ! [V_f_2,T_c,T_b] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.15/163.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod__infinite,axiom,
% 163.15/163.04 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod_Oinfinite,axiom,
% 163.15/163.04 ! [V_g_2,V_A_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min_Osingleton,axiom,
% 163.15/163.04 ! [V_x_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 163.15/163.04 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 163.15/163.04 ! [V_x_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min__le,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_x_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min__in,axiom,
% 163.15/163.04 ! [V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min_Oin__idem,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 163.15/163.04 ! [V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 163.15/163.04 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 163.15/163.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 163.15/163.04 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min_OF__eq,axiom,
% 163.15/163.04 ! [V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 163.15/163.04 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 163.15/163.04 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min__antimono,axiom,
% 163.15/163.04 ! [V_N_2,V_M_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 163.15/163.04 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_M_2))) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 163.15/163.04 ! [V_a_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min__insert,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min_Osubset__idem,axiom,
% 163.15/163.04 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min__Un,axiom,
% 163.15/163.04 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 163.15/163.04 ! [V_a_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 163.15/163.04 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2))) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card_Oinsert,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 163.15/163.04 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 163.15/163.04 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 163.15/163.04 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min_Oinsert,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min_Oinsert__remove,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 163.15/163.04 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min_Ounion__inter,axiom,
% 163.15/163.04 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min_Ounion__disjoint,axiom,
% 163.15/163.04 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min_Oeq__fold_H,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__Diff__insert,axiom,
% 163.15/163.04 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 163.15/163.04 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card_Oinsert__remove,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 163.15/163.04 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 163.15/163.04 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 163.15/163.04 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 163.15/163.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.04 => ? [B_y_H] :
% 163.15/163.04 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 163.15/163.04 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 163.15/163.04 ! [V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Min_Oclosed,axiom,
% 163.15/163.04 ! [V_A_2,T_b] :
% 163.15/163.04 ( class_Orderings_Olinorder(T_b)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 163.15/163.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( ! [B_x] :
% 163.15/163.04 ( 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)))
% 163.15/163.04 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 163.15/163.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod__Un__one,axiom,
% 163.15/163.04 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.15/163.04 => ( ! [B_x] :
% 163.15/163.04 ( 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_S_2),V_T_2)))
% 163.15/163.04 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 163.15/163.04 => 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_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold__Un__disjoint,axiom,
% 163.15/163.04 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.04 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod__mono__one__right,axiom,
% 163.15/163.04 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 163.15/163.04 => ( ! [B_x] :
% 163.15/163.04 ( 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)))
% 163.15/163.04 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 163.15/163.04 => 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) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_setprod__mono__one__left,axiom,
% 163.15/163.04 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 163.15/163.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 163.15/163.04 => ( ! [B_x] :
% 163.15/163.04 ( 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)))
% 163.15/163.04 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 163.15/163.04 => 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) ) ) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_card__Suc__Diff1,axiom,
% 163.15/163.04 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.04 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Suc__mono,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_lessI,axiom,
% 163.15/163.04 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Suc__inject,axiom,
% 163.15/163.04 ! [V_y,V_x] :
% 163.15/163.04 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 163.15/163.04 => V_x = V_y ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_nat_Oinject,axiom,
% 163.15/163.04 ! [V_nat_H_2,V_nat_2] :
% 163.15/163.04 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 163.15/163.04 <=> V_nat_2 = V_nat_H_2 ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Suc__n__not__n,axiom,
% 163.15/163.04 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 163.15/163.04
% 163.15/163.04 fof(fact_n__not__Suc__n,axiom,
% 163.15/163.04 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Suc__less__SucD,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Suc__lessD,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__SucE,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 => V_m = V_n ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__trans__Suc,axiom,
% 163.15/163.04 ! [V_k,V_j,V_i] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Suc__lessI,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__SucI,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__antisym,axiom,
% 163.15/163.04 ! [V_m,V_n] :
% 163.15/163.04 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 163.15/163.04 => V_m = V_n ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_not__less__less__Suc__eq,axiom,
% 163.15/163.04 ! [V_m_2,V_n_2] :
% 163.15/163.04 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 163.15/163.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 163.15/163.04 <=> V_n_2 = V_m_2 ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Suc__less__eq,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 163.15/163.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_less__Suc__eq,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 163.15/163.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.04 | V_m_2 = V_n_2 ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_not__less__eq,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2] :
% 163.15/163.04 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_add__Suc__shift,axiom,
% 163.15/163.04 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_add__Suc,axiom,
% 163.15/163.04 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_add__Suc__right,axiom,
% 163.15/163.04 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Suc__leD,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__SucE,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 163.15/163.04 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__SucI,axiom,
% 163.15/163.04 ! [V_n,V_m] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.15/163.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Suc__le__mono,axiom,
% 163.15/163.04 ! [V_m_2,V_n_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Nat_OSuc,V_m_2)))
% 163.15/163.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_le__Suc__eq,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2] :
% 163.15/163.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 163.15/163.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.04 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_not__less__eq__eq,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2] :
% 163.15/163.04 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Suc__n__not__le__n,axiom,
% 163.15/163.04 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_diff__Suc__Suc,axiom,
% 163.15/163.04 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Suc__diff__diff,axiom,
% 163.15/163.04 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)),hAPP(c_Nat_OSuc,V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_Suc__mult__cancel1,axiom,
% 163.15/163.04 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2)
% 163.15/163.04 <=> V_m_2 = V_n_2 ) ).
% 163.15/163.04
% 163.15/163.04 fof(fact_fold__image__empty,axiom,
% 163.15/163.04 ! [V_z_2,V_g_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 163.15/163.05
% 163.15/163.05 fof(fact_min__Suc__Suc,axiom,
% 163.15/163.05 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_less__add__Suc1,axiom,
% 163.15/163.05 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)))) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_less__add__Suc2,axiom,
% 163.15/163.05 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_i)))) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_less__iff__Suc__add,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.05 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Suc__le__lessD,axiom,
% 163.15/163.05 ! [V_n,V_m] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_le__less__Suc__eq,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 163.15/163.05 <=> V_n_2 = V_m_2 ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Suc__leI,axiom,
% 163.15/163.05 ! [V_n,V_m] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_le__imp__less__Suc,axiom,
% 163.15/163.05 ! [V_n,V_m] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Suc__le__eq,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_less__Suc__eq__le,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_less__eq__Suc__le,axiom,
% 163.15/163.05 ! [V_m_2,V_n_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__less__Suc,axiom,
% 163.15/163.05 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(c_Nat_OSuc,V_m))) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Suc__mult__less__cancel1,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__Suc__right,axiom,
% 163.15/163.05 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__Suc,axiom,
% 163.15/163.05 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Suc__diff__le,axiom,
% 163.15/163.05 ! [V_m,V_n] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.15/163.05 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Suc__mult__le__cancel1,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__Suc__1,axiom,
% 163.15/163.05 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 163.15/163.05
% 163.15/163.05 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 163.15/163.05 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.15/163.05 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.15/163.05 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__Suc__diff__eq1,axiom,
% 163.15/163.05 ! [V_m,V_j,V_k] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.15/163.05 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(c_Nat_OSuc,V_j)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__Suc__diff__eq2,axiom,
% 163.15/163.05 ! [V_m,V_j,V_k] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.15/163.05 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))),V_m) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_j)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_card__insert__disjoint,axiom,
% 163.15/163.05 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.05 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_card__insert__if,axiom,
% 163.15/163.05 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.05 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) )
% 163.15/163.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.05 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_fold__image__insert,axiom,
% 163.15/163.05 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 163.15/163.05 ( class_Groups_Oab__semigroup__mult(T_c)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.05 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setprod_OF__eq,axiom,
% 163.15/163.05 ! [V_g_2,V_A_2,T_b,T_c] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.05 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) )
% 163.15/163.05 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setprod_Oeq__fold,axiom,
% 163.15/163.05 ! [V_g_2,V_A_2,T_b,T_c] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_card__insert,axiom,
% 163.15/163.05 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_fold__image__Un__Int,axiom,
% 163.15/163.05 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 163.15/163.05 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Suc__eq__plus1__left,axiom,
% 163.15/163.05 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Suc__eq__plus1,axiom,
% 163.15/163.05 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_comm__monoid__big_OF__eq,axiom,
% 163.15/163.05 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 163.15/163.05 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 163.15/163.05 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.15/163.05 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) )
% 163.15/163.05 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.15/163.05 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_fold__image__Un__one,axiom,
% 163.15/163.05 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.15/163.05 => ( ! [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 163.15/163.05 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 163.15/163.05 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_T_2)) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Sup__fold__sup,axiom,
% 163.15/163.05 ! [V_A_2,T_b] :
% 163.15/163.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => 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) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 163.15/163.05 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 163.15/163.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.15/163.05 => ( 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))
% 163.15/163.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.05 => ~ ! [B_y] :
% 163.15/163.05 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 163.15/163.05 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_finite__UnionD,axiom,
% 163.15/163.05 ! [V_A_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 163.15/163.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_sup__Sup__fold__sup,axiom,
% 163.15/163.05 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => 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) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Sup__fin__Sup,axiom,
% 163.15/163.05 ! [V_A_2,T_b] :
% 163.15/163.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.05 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 163.15/163.05 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 163.15/163.05 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 163.15/163.05 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.15/163.05 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Sup__binary,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.05 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Sup__insert,axiom,
% 163.15/163.05 ! [V_A_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.05 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Sup__singleton,axiom,
% 163.15/163.05 ! [V_a_2,T_b] :
% 163.15/163.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.05 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Sup__empty,axiom,
% 163.15/163.05 ! [T_b] :
% 163.15/163.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.05 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Sup__upper,axiom,
% 163.15/163.05 ! [V_A_2,V_x_2,T_b] :
% 163.15/163.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_UnionI,axiom,
% 163.15/163.05 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 163.15/163.05 => 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))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Union__mono,axiom,
% 163.15/163.05 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_less__Sup__iff,axiom,
% 163.15/163.05 ! [V_S_2,V_a_2,T_b] :
% 163.15/163.05 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.05 & class_Orderings_Olinorder(T_b) )
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 163.15/163.05 <=> ? [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Union__empty,axiom,
% 163.15/163.05 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Union__upper,axiom,
% 163.15/163.05 ! [V_A_2,V_B_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Union__insert,axiom,
% 163.15/163.05 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Un__eq__Union,axiom,
% 163.15/163.05 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Union__Un__distrib,axiom,
% 163.15/163.05 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Union__disjoint,axiom,
% 163.15/163.05 ! [V_A_2,V_C_2,T_b] :
% 163.15/163.05 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.05 <=> ! [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 163.15/163.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Union__Int__subset,axiom,
% 163.15/163.05 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)))) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Sup__le__iff,axiom,
% 163.15/163.05 ! [V_b_2,V_A_2,T_b] :
% 163.15/163.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_b_2))
% 163.15/163.05 <=> ! [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_finite__Union,axiom,
% 163.15/163.05 ! [V_A_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 163.15/163.05 => ( ! [B_M] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 163.15/163.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 163.15/163.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 163.15/163.05 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.05 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => 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)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 163.15/163.05 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.05 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => 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) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_insert__partition,axiom,
% 163.15/163.05 ! [V_F_2,V_x_2,T_b] :
% 163.15/163.05 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 163.15/163.05 => ( ! [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 163.15/163.05 => ! [B_xa] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 163.15/163.05 => ( B_x != B_xa
% 163.15/163.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 163.15/163.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_convex__bound__lt,axiom,
% 163.15/163.05 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 163.15/163.05 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_card__partition,axiom,
% 163.15/163.05 ! [V_k_2,V_C_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 163.15/163.05 => ( ! [B_c] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 163.15/163.05 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 163.15/163.05 => ( ! [B_c1] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 163.15/163.05 => ! [B_c2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 163.15/163.05 => ( B_c1 != B_c2
% 163.15/163.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 163.15/163.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_fold__image__1,axiom,
% 163.15/163.05 ! [V_f_2,V_S_2,T_b,T_c] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.15/163.05 => ( ! [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.15/163.05 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 163.15/163.05 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_card__Plus,axiom,
% 163.15/163.05 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.15/163.05 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_less__zeroE,axiom,
% 163.15/163.05 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_le0,axiom,
% 163.15/163.05 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_zero__less__Suc,axiom,
% 163.15/163.05 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_n))) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_zero__reorient,axiom,
% 163.15/163.05 ! [V_x_2,T_b] :
% 163.15/163.05 ( class_Groups_Ozero(T_b)
% 163.15/163.05 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 163.15/163.05 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 163.15/163.05 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 163.15/163.05 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 163.15/163.05 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) = hAPP(hAPP(V_f_2,V_x_2),V_z_2) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__0__iff,axiom,
% 163.15/163.05 ! [V_a_2,V_b_2,T_b] :
% 163.15/163.05 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 163.15/163.05 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 163.15/163.05 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__0__left,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Groups_Omonoid__add(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__0,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_double__zero__sym,axiom,
% 163.15/163.05 ! [V_a_2,T_b] :
% 163.15/163.05 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.15/163.05 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 163.15/163.05 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__0__right,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Groups_Omonoid__add(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add_Ocomm__neutral,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_divisors__zero,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Ono__zero__divisors(T_a)
% 163.15/163.05 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.05 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.05 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_no__zero__divisors,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Ono__zero__divisors(T_a)
% 163.15/163.05 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.05 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__eq__0__iff,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Rings_Oring__no__zero__divisors(T_b)
% 163.15/163.05 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.05 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.05 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__zero__right,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Rings_Omult__zero(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__zero__left,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Rings_Omult__zero(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_right__minus__eq,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Groups_Ogroup__add(T_b)
% 163.15/163.05 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.05 <=> V_a_2 = V_b_2 ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_eq__iff__diff__eq__0,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Groups_Oab__group__add(T_b)
% 163.15/163.05 => ( V_a_2 = V_b_2
% 163.15/163.05 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__self,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__0__right,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_one__neq__zero,axiom,
% 163.15/163.05 ! [T_a] :
% 163.15/163.05 ( class_Rings_Ozero__neq__one(T_a)
% 163.15/163.05 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_zero__neq__one,axiom,
% 163.15/163.05 ! [T_a] :
% 163.15/163.05 ( class_Rings_Ozero__neq__one(T_a)
% 163.15/163.05 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Zero__not__Suc,axiom,
% 163.15/163.05 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_nat_Osimps_I2_J,axiom,
% 163.15/163.05 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Suc__not__Zero,axiom,
% 163.15/163.05 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_nat_Osimps_I3_J,axiom,
% 163.15/163.05 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Zero__neq__Suc,axiom,
% 163.15/163.05 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Suc__neq__Zero,axiom,
% 163.15/163.05 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_not__less0,axiom,
% 163.15/163.05 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_neq0__conv,axiom,
% 163.15/163.05 ! [V_n_2] :
% 163.15/163.05 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_less__nat__zero__code,axiom,
% 163.15/163.05 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_gr__implies__not0,axiom,
% 163.15/163.05 ! [V_n,V_m] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.05 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_gr0I,axiom,
% 163.15/163.05 ! [V_n] :
% 163.15/163.05 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_plus__nat_Oadd__0,axiom,
% 163.15/163.05 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Nat_Oadd__0__right,axiom,
% 163.15/163.05 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__is__0,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2] :
% 163.15/163.05 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__eq__self__zero,axiom,
% 163.15/163.05 ! [V_n,V_m] :
% 163.15/163.05 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 163.15/163.05 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 163.15/163.05 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_le__0__eq,axiom,
% 163.15/163.05 ! [V_n_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 163.15/163.05 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diffs0__imp__equal,axiom,
% 163.15/163.05 ! [V_n,V_m] :
% 163.15/163.05 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 => V_m = V_n ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__self__eq__0,axiom,
% 163.15/163.05 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_minus__nat_Odiff__0,axiom,
% 163.15/163.05 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__0__eq__0,axiom,
% 163.15/163.05 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__cancel2,axiom,
% 163.15/163.05 ! [V_n_2,V_k_2,V_m_2] :
% 163.15/163.05 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)
% 163.15/163.05 <=> ( V_m_2 = V_n_2
% 163.15/163.05 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__cancel1,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.05 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 163.15/163.05 <=> ( V_m_2 = V_n_2
% 163.15/163.05 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__is__0,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2] :
% 163.15/163.05 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__0__right,axiom,
% 163.15/163.05 ! [V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__0,axiom,
% 163.15/163.05 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.05 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 163.15/163.05 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 | V_m_2 = V_n_2 ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_min__0R,axiom,
% 163.15/163.05 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_min__0L,axiom,
% 163.15/163.05 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_fun__left__comm__idem__insert,axiom,
% 163.15/163.05 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_finite__Plus__iff,axiom,
% 163.15/163.05 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 163.15/163.05 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_finite__Plus,axiom,
% 163.15/163.05 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.15/163.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_finite__PlusD_I1_J,axiom,
% 163.15/163.05 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 163.15/163.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_finite__PlusD_I2_J,axiom,
% 163.15/163.05 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 163.15/163.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_card__Plus__conv__if,axiom,
% 163.15/163.05 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.15/163.05 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 163.15/163.05 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) )
% 163.15/163.05 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 163.15/163.05 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_fun__left__comm__idem,axiom,
% 163.15/163.05 ! [T_b] :
% 163.15/163.05 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 163.15/163.05 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_fun__left__comm__idem__sup,axiom,
% 163.15/163.05 ! [T_b] :
% 163.15/163.05 ( class_Lattices_Osemilattice__sup(T_b)
% 163.15/163.05 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_fun__left__comm__idem__inf,axiom,
% 163.15/163.05 ! [T_b] :
% 163.15/163.05 ( class_Lattices_Osemilattice__inf(T_b)
% 163.15/163.05 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 163.15/163.05 ! [T_b] :
% 163.15/163.05 ( class_Orderings_Olinorder(T_b)
% 163.15/163.05 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 163.15/163.05 ! [V_a_2,T_b] :
% 163.15/163.05 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 163.15/163.05 ! [V_a_2,T_b] :
% 163.15/163.05 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__nonneg__nonneg,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__nonneg__eq__0__iff,axiom,
% 163.15/163.05 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.05 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 163.15/163.05 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.05 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.05 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__increasing,axiom,
% 163.15/163.05 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__increasing2,axiom,
% 163.15/163.05 ! [V_a,V_b,V_c,T_a] :
% 163.15/163.05 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__nonpos__nonpos,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_zero__le__square,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__ring(T_a)
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_zero__le__mult__iff,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)))
% 163.15/163.05 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 163.15/163.05 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__le__0__iff,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 163.15/163.05 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__nonneg__nonneg,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Oordered__cancel__semiring(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__nonneg__nonpos,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Oordered__cancel__semiring(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__nonneg__nonpos2,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Oordered__cancel__semiring(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__nonpos__nonneg,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Oordered__cancel__semiring(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__nonpos__nonpos,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Oordered__ring(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__right__mono,axiom,
% 163.15/163.05 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Oordered__semiring(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__left__mono,axiom,
% 163.15/163.05 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Oordered__semiring(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_comm__mult__left__mono,axiom,
% 163.15/163.05 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Oordered__comm__semiring(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__right__mono__neg,axiom,
% 163.15/163.05 ! [V_c,V_a,V_b,T_a] :
% 163.15/163.05 ( class_Rings_Oordered__ring(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__left__mono__neg,axiom,
% 163.15/163.05 ! [V_c,V_a,V_b,T_a] :
% 163.15/163.05 ( class_Rings_Oordered__ring(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__mono_H,axiom,
% 163.15/163.05 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Oordered__semiring(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__mono,axiom,
% 163.15/163.05 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Oordered__semiring(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_split__mult__pos__le,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Oordered__ring(T_a)
% 163.15/163.05 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 163.15/163.05 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_split__mult__neg__le,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Oordered__cancel__semiring(T_a)
% 163.15/163.05 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 163.15/163.05 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_pos__add__strict,axiom,
% 163.15/163.05 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 163.15/163.05 ! [V_a_2,T_b] :
% 163.15/163.05 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 163.15/163.05 ! [V_a_2,T_b] :
% 163.15/163.05 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__pos__pos,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__neg__neg,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__strict__left__mono__neg,axiom,
% 163.15/163.05 ! [V_c,V_a,V_b,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__ring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__strict__right__mono__neg,axiom,
% 163.15/163.05 ! [V_c,V_a,V_b,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__ring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_comm__mult__strict__left__mono,axiom,
% 163.15/163.05 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__strict__left__mono,axiom,
% 163.15/163.05 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__strict__right__mono,axiom,
% 163.15/163.05 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__neg__neg,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__ring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__neg__pos,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__less__cancel__left__neg,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 163.15/163.05 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_zero__less__mult__pos2,axiom,
% 163.15/163.05 ! [V_a,V_b,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_zero__less__mult__pos,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__pos__neg2,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__pos__neg,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__pos__pos,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__less__cancel__left__pos,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 163.15/163.05 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__less__cancel__left__disj,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 163.15/163.05 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 163.15/163.05 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 163.15/163.05 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__less__cancel__right__disj,axiom,
% 163.15/163.05 ! [V_b_2,V_ca_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_ca_2)))
% 163.15/163.05 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 163.15/163.05 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_not__square__less__zero,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__ring(T_a)
% 163.15/163.05 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_le__iff__diff__le__0,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_less__iff__diff__less__0,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_sum__squares__eq__zero__iff,axiom,
% 163.15/163.05 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.05 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.15/163.05 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.05 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.05 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__scale__eq__noteq,axiom,
% 163.15/163.05 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 163.15/163.05 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 163.15/163.05 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.05 => ( ( V_a = V_b
% 163.15/163.05 & V_c != V_d )
% 163.15/163.05 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_not__one__le__zero,axiom,
% 163.15/163.05 ! [T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.05 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_zero__le__one,axiom,
% 163.15/163.05 ! [T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_zero__less__one,axiom,
% 163.15/163.05 ! [T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_not__one__less__zero,axiom,
% 163.15/163.05 ! [T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.05 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setsum__empty,axiom,
% 163.15/163.05 ! [V_f_2,T_c,T_b] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setsum_Oempty,axiom,
% 163.15/163.05 ! [V_g_2,T_c,T_b] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setsum_Oinfinite,axiom,
% 163.15/163.05 ! [V_g_2,V_A_2,T_b,T_c] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.05 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setsum__infinite,axiom,
% 163.15/163.05 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.05 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setprod__zero__iff,axiom,
% 163.15/163.05 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.15/163.05 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 163.15/163.05 & class_Rings_Ono__zero__divisors(T_c) )
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c)
% 163.15/163.05 <=> ? [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.05 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setprod__zero,axiom,
% 163.15/163.05 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.15/163.05 ( class_Rings_Ocomm__semiring__1(T_c)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => ( ? [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.05 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_less__Suc__eq__0__disj,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 163.15/163.05 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 | ? [B_j] :
% 163.15/163.05 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_less__Suc0,axiom,
% 163.15/163.05 ! [V_n_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 163.15/163.05 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_gr0__conv__Suc,axiom,
% 163.15/163.05 ! [V_n_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 163.15/163.05 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_one__is__add,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2] :
% 163.15/163.05 ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)
% 163.15/163.05 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.15/163.05 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.05 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__is__1,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2] :
% 163.15/163.05 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.15/163.05 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.15/163.05 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.05 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__gr__0,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)))
% 163.15/163.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 163.15/163.05 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_card_Oempty,axiom,
% 163.15/163.05 ! [T_b] : hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_card__infinite,axiom,
% 163.15/163.05 ! [V_A_2,T_b] :
% 163.15/163.05 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__eq__1__iff,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2] :
% 163.15/163.05 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.15/163.05 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.15/163.05 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_zero__less__diff,axiom,
% 163.15/163.05 ! [V_m_2,V_n_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__less,axiom,
% 163.15/163.05 ! [V_m,V_n] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_nat__0__less__mult__iff,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)))
% 163.15/163.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__less__cancel1,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 163.15/163.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__less__cancel2,axiom,
% 163.15/163.05 ! [V_n_2,V_k_2,V_m_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)))
% 163.15/163.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__less__mono1,axiom,
% 163.15/163.05 ! [V_k,V_j,V_i] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__less__mono2,axiom,
% 163.15/163.05 ! [V_k,V_j,V_i] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_nat__mult__less__cancel1,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_nat__mult__eq__cancel1,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.15/163.05 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 163.15/163.05 <=> V_m_2 = V_n_2 ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__add__0,axiom,
% 163.15/163.05 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__is__0__eq_H,axiom,
% 163.15/163.05 ! [V_n,V_m] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.15/163.05 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__is__0__eq,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2] :
% 163.15/163.05 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_One__nat__def,axiom,
% 163.15/163.05 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__eq__self__implies__10,axiom,
% 163.15/163.05 ! [V_n,V_m] :
% 163.15/163.05 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 163.15/163.05 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 163.15/163.05 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setsum__eq__0__iff,axiom,
% 163.15/163.05 ! [V_f_2,V_F_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.15/163.05 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 <=> ! [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 163.15/163.05 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__nonpos__neg,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__neg__nonpos,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__strict__increasing2,axiom,
% 163.15/163.05 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__strict__increasing,axiom,
% 163.15/163.05 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__nonneg__pos,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__pos__nonneg,axiom,
% 163.15/163.05 ! [V_b,V_a,T_a] :
% 163.15/163.05 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__le__cancel__left__pos,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 163.15/163.05 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__le__cancel__left__neg,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 163.15/163.05 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__strict__mono,axiom,
% 163.15/163.05 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__strict__mono_H,axiom,
% 163.15/163.05 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__less__le__imp__less,axiom,
% 163.15/163.05 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__le__less__imp__less,axiom,
% 163.15/163.05 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__right__less__imp__less,axiom,
% 163.15/163.05 ! [V_b,V_c,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__less__imp__less__right,axiom,
% 163.15/163.05 ! [V_b,V_c,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__left__less__imp__less,axiom,
% 163.15/163.05 ! [V_b,V_a,V_c,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__less__imp__less__left,axiom,
% 163.15/163.05 ! [V_b,V_a,V_c,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__right__le__imp__le,axiom,
% 163.15/163.05 ! [V_b,V_c,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__left__le__imp__le,axiom,
% 163.15/163.05 ! [V_b,V_a,V_c,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_sum__squares__ge__zero,axiom,
% 163.15/163.05 ! [V_y,V_x,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__ring(T_a)
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_sum__squares__le__zero__iff,axiom,
% 163.15/163.05 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.05 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.05 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_sum__squares__gt__zero__iff,axiom,
% 163.15/163.05 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.05 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))))
% 163.15/163.05 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.05 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_not__sum__squares__lt__zero,axiom,
% 163.15/163.05 ! [V_y,V_x,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__ring(T_a)
% 163.15/163.05 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__right__le__one__le,axiom,
% 163.15/163.05 ! [V_y,V_x,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_x)) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__left__le__one__le,axiom,
% 163.15/163.05 ! [V_y,V_x,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)),V_x)) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_zero__less__two,axiom,
% 163.15/163.05 ! [T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_card__eq__0__iff,axiom,
% 163.15/163.05 ! [V_A_2,T_b] :
% 163.15/163.05 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.05 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_card__ge__0__finite,axiom,
% 163.15/163.05 ! [V_A_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 163.15/163.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Suc__pred,axiom,
% 163.15/163.05 ! [V_n] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.05 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = V_n ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__Suc__less,axiom,
% 163.15/163.05 ! [V_i,V_n] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_i))),V_n)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_n__less__m__mult__n,axiom,
% 163.15/163.05 ! [V_m,V_n] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_n__less__n__mult__m,axiom,
% 163.15/163.05 ! [V_m,V_n] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_one__less__mult,axiom,
% 163.15/163.05 ! [V_m,V_n] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_nat__diff__split__asm,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,V_Pa_2] :
% 163.15/163.05 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 163.15/163.05 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 163.15/163.05 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 163.15/163.05 | ? [B_d] :
% 163.15/163.05 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 163.15/163.05 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_nat__diff__split,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,V_Pa_2] :
% 163.15/163.05 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 163.15/163.05 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 163.15/163.05 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 163.15/163.05 & ! [B_d] :
% 163.15/163.05 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 163.15/163.05 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_one__le__mult__iff,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)))
% 163.15/163.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m_2))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_nat__mult__le__cancel1,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__le__cancel1,axiom,
% 163.15/163.05 ! [V_n_2,V_m_2,V_k_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 163.15/163.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__le__cancel2,axiom,
% 163.15/163.05 ! [V_n_2,V_k_2,V_m_2] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)))
% 163.15/163.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setsum__eq__Suc0__iff,axiom,
% 163.15/163.05 ! [V_f_2,V_A_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.15/163.05 <=> ? [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.05 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.15/163.05 & ! [B_xa] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 163.15/163.05 => ( B_x != B_xa
% 163.15/163.05 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setsum__eq__1__iff,axiom,
% 163.15/163.05 ! [V_f_2,V_A_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 163.15/163.05 <=> ? [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.05 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 163.15/163.05 & ! [B_xa] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 163.15/163.05 => ( B_x != B_xa
% 163.15/163.05 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setprod__pos__nat__iff,axiom,
% 163.15/163.05 ! [V_f_2,V_S_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2)))
% 163.15/163.05 <=> ! [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_convex__bound__le,axiom,
% 163.15/163.05 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 163.15/163.05 ( class_Rings_Olinordered__semiring__1(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 163.15/163.05 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_card__gt__0__iff,axiom,
% 163.15/163.05 ! [V_A_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 163.15/163.05 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setsum_OF__eq,axiom,
% 163.15/163.05 ! [V_g_2,V_A_2,T_b,T_c] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.05 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) )
% 163.15/163.05 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setsum_Oeq__fold,axiom,
% 163.15/163.05 ! [V_g_2,V_A_2,T_b,T_c] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Suc__pred_H,axiom,
% 163.15/163.05 ! [V_n] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.05 => V_n = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Suc__diff__1,axiom,
% 163.15/163.05 ! [V_n] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.05 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = V_n ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__eq__if,axiom,
% 163.15/163.05 ! [V_n,V_m] :
% 163.15/163.05 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 163.15/163.05 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__eq__if,axiom,
% 163.15/163.05 ! [V_n,V_m] :
% 163.15/163.05 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.05 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_even__less__0__iff,axiom,
% 163.15/163.05 ! [V_a_2,T_b] :
% 163.15/163.05 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setsum__mono2,axiom,
% 163.15/163.05 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 163.15/163.05 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.15/163.05 => ( ! [B_b] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_triple_Osize_I1_J,axiom,
% 163.15/163.05 ! [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) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Plus__eq__empty__conv,axiom,
% 163.15/163.05 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.15/163.05 ( c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))
% 163.15/163.05 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.05 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_card_Ounion__inter__neutral,axiom,
% 163.15/163.05 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.05 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.15/163.05 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.05 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 163.15/163.05 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.05 => ( ! [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.15/163.05 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setsum__Un__zero,axiom,
% 163.15/163.05 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 163.15/163.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.15/163.05 => ( ! [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 163.15/163.05 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setsum__mono3,axiom,
% 163.15/163.05 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 163.15/163.05 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.05 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.15/163.05 => ( ! [B_x] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_bot__nat__def,axiom,
% 163.15/163.05 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_double__eq__0__iff,axiom,
% 163.15/163.05 ! [V_a_2,T_b] :
% 163.15/163.05 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.15/163.05 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.05 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_triple_Osize_I2_J,axiom,
% 163.15/163.05 ! [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) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_card__Suc__eq,axiom,
% 163.15/163.05 ! [V_k_2,V_A_2,T_b] :
% 163.15/163.05 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 163.15/163.05 <=> ? [B_b,B_B] :
% 163.15/163.05 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 163.15/163.05 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 163.15/163.05 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 163.15/163.05 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.05 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Ints__odd__less__0,axiom,
% 163.15/163.05 ! [V_a_2,T_b] :
% 163.15/163.05 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_com_Osize_I4_J,axiom,
% 163.15/163.05 ! [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))) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_com_Osize_I12_J,axiom,
% 163.15/163.05 ! [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))) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_setprod__diff1,axiom,
% 163.15/163.05 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 163.15/163.05 ( class_Fields_Ofield(T_c)
% 163.15/163.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.05 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 163.15/163.05 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 163.15/163.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_ex__least__nat__less,axiom,
% 163.15/163.05 ! [V_n_2,V_Pa_2] :
% 163.15/163.05 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 163.15/163.05 => ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 163.15/163.05 => ? [B_k] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 163.15/163.05 & ! [B_i] :
% 163.15/163.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 163.15/163.05 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 163.15/163.05 & 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)))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_divide__zero__left,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Rings_Odivision__ring(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_divide__zero,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_add__divide__distrib,axiom,
% 163.15/163.05 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Odivision__ring(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_times__divide__eq__right,axiom,
% 163.15/163.05 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Odivision__ring(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_diff__divide__distrib,axiom,
% 163.15/163.05 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.05 ( class_Rings_Odivision__ring(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_divide__1,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Rings_Odivision__ring(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_nonzero__eq__divide__eq,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 163.15/163.05 ( class_Rings_Odivision__ring(T_b)
% 163.15/163.05 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.05 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)
% 163.15/163.05 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) = V_b_2 ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_nonzero__divide__eq__eq,axiom,
% 163.15/163.05 ! [V_a_2,V_b_2,V_ca_2,T_b] :
% 163.15/163.05 ( class_Rings_Odivision__ring(T_b)
% 163.15/163.05 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.05 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2) = V_a_2
% 163.15/163.05 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_divide__eq__imp,axiom,
% 163.15/163.05 ! [V_a,V_b,V_c,T_a] :
% 163.15/163.05 ( class_Rings_Odivision__ring(T_a)
% 163.15/163.05 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.05 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 163.15/163.05 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_eq__divide__imp,axiom,
% 163.15/163.05 ! [V_b,V_a,V_c,T_a] :
% 163.15/163.05 ( class_Rings_Odivision__ring(T_a)
% 163.15/163.05 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.05 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 163.15/163.05 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_divide__self__if,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 163.15/163.05 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 163.15/163.05 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_divide__self,axiom,
% 163.15/163.05 ! [V_a,T_a] :
% 163.15/163.05 ( class_Rings_Odivision__ring(T_a)
% 163.15/163.05 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_right__inverse__eq,axiom,
% 163.15/163.05 ! [V_a_2,V_b_2,T_b] :
% 163.15/163.05 ( class_Rings_Odivision__ring(T_b)
% 163.15/163.05 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.05 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 163.15/163.05 <=> V_a_2 = V_b_2 ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Ints__0,axiom,
% 163.15/163.05 ! [T_b] :
% 163.15/163.05 ( class_Rings_Oring__1(T_b)
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Ints__add,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Rings_Oring__1(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Ints__mult,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Rings_Oring__1(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Ints__diff,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Rings_Oring__1(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Ints__1,axiom,
% 163.15/163.05 ! [T_b] :
% 163.15/163.05 ( class_Rings_Oring__1(T_b)
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_com_Osize_I9_J,axiom,
% 163.15/163.05 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_com_Osize_I1_J,axiom,
% 163.15/163.05 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Ints__double__eq__0__iff,axiom,
% 163.15/163.05 ! [V_a_2,T_b] :
% 163.15/163.05 ( class_Int_Oring__char__0(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.15/163.05 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.05 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_Ints__odd__nonzero,axiom,
% 163.15/163.05 ! [V_a_2,T_b] :
% 163.15/163.05 ( class_Int_Oring__char__0(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.15/163.05 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_le__divide__eq,axiom,
% 163.15/163.05 ! [V_ca_2,V_b_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 163.15/163.05 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) )
% 163.15/163.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.05 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) )
% 163.15/163.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_divide__le__eq,axiom,
% 163.15/163.05 ! [V_a_2,V_ca_2,V_b_2,T_b] :
% 163.15/163.05 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.05 => ( 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_a_2))
% 163.15/163.05 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) )
% 163.15/163.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.05 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) )
% 163.15/163.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_pos__le__divide__eq,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 163.15/163.05 ( class_Fields_Olinordered__field(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_pos__divide__le__eq,axiom,
% 163.15/163.05 ! [V_a_2,V_b_2,V_ca_2,T_b] :
% 163.15/163.05 ( class_Fields_Olinordered__field(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.05 => ( 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_a_2))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__imp__div__pos__le,axiom,
% 163.15/163.05 ! [V_z,V_x,V_y,T_a] :
% 163.15/163.05 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_mult__imp__le__div__pos,axiom,
% 163.15/163.05 ! [V_x,V_z,V_y,T_a] :
% 163.15/163.05 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x))
% 163.15/163.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_neg__le__divide__eq,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 163.15/163.05 ( class_Fields_Olinordered__field(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 163.15/163.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_times__divide__times__eq,axiom,
% 163.15/163.05 ! [V_w,V_z,V_y,V_x,T_a] :
% 163.15/163.05 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.15/163.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_z),V_w)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_w)) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_zero__le__divide__iff,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)))
% 163.15/163.05 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 163.15/163.05 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_divide__le__0__iff,axiom,
% 163.15/163.05 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.05 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 163.15/163.05 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 163.15/163.05
% 163.15/163.05 fof(fact_divide__right__mono,axiom,
% 163.15/163.06 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__right__mono__neg,axiom,
% 163.15/163.06 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__strict__right__mono__neg,axiom,
% 163.15/163.06 ! [V_c,V_a,V_b,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__strict__right__mono,axiom,
% 163.15/163.06 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__neg__neg,axiom,
% 163.15/163.06 ! [V_y,V_x,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__neg__pos,axiom,
% 163.15/163.06 ! [V_y,V_x,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__pos__neg,axiom,
% 163.15/163.06 ! [V_y,V_x,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__pos__pos,axiom,
% 163.15/163.06 ! [V_y,V_x,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__less__0__iff,axiom,
% 163.15/163.06 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.06 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 163.15/163.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 163.15/163.06 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zero__less__divide__iff,axiom,
% 163.15/163.06 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.06 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)))
% 163.15/163.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 163.15/163.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 163.15/163.06 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_eq__divide__eq,axiom,
% 163.15/163.06 ! [V_ca_2,V_b_2,V_a_2,T_b] :
% 163.15/163.06 ( class_Fields_Ofield__inverse__zero(T_b)
% 163.15/163.06 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)
% 163.15/163.06 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) = V_b_2 )
% 163.15/163.06 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__eq__eq,axiom,
% 163.15/163.06 ! [V_a_2,V_ca_2,V_b_2,T_b] :
% 163.15/163.06 ( class_Fields_Ofield__inverse__zero(T_b)
% 163.15/163.06 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2) = V_a_2
% 163.15/163.06 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) )
% 163.15/163.06 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mult__divide__mult__cancel__right,axiom,
% 163.15/163.06 ! [V_b,V_a,V_c,T_a] :
% 163.15/163.06 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.15/163.06 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mult__divide__mult__cancel__left,axiom,
% 163.15/163.06 ! [V_b,V_a,V_c,T_a] :
% 163.15/163.06 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.15/163.06 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_frac__eq__eq,axiom,
% 163.15/163.06 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 163.15/163.06 ( class_Fields_Ofield(T_b)
% 163.15/163.06 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_w_2),V_z_2)
% 163.15/163.06 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__nonneg__pos,axiom,
% 163.15/163.06 ! [V_y,V_x,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__nonneg__neg,axiom,
% 163.15/163.06 ! [V_y,V_x,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_frac__less2,axiom,
% 163.15/163.06 ! [V_z,V_w,V_y,V_x,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_frac__less,axiom,
% 163.15/163.06 ! [V_z,V_w,V_y,V_x,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_frac__le,axiom,
% 163.15/163.06 ! [V_z,V_w,V_y,V_x,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__nonpos__pos,axiom,
% 163.15/163.06 ! [V_y,V_x,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__nonpos__neg,axiom,
% 163.15/163.06 ! [V_y,V_x,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__strict__left__mono__neg,axiom,
% 163.15/163.06 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__strict__left__mono,axiom,
% 163.15/163.06 ! [V_c,V_a,V_b,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_neg__divide__less__eq,axiom,
% 163.15/163.06 ! [V_a_2,V_b_2,V_ca_2,T_b] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => ( 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_a_2))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_neg__less__divide__eq,axiom,
% 163.15/163.06 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mult__imp__less__div__pos,axiom,
% 163.15/163.06 ! [V_x,V_z,V_y,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mult__imp__div__pos__less,axiom,
% 163.15/163.06 ! [V_z,V_x,V_y,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_pos__divide__less__eq,axiom,
% 163.15/163.06 ! [V_a_2,V_b_2,V_ca_2,T_b] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.06 => ( 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_a_2))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_pos__less__divide__eq,axiom,
% 163.15/163.06 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__less__eq,axiom,
% 163.15/163.06 ! [V_a_2,V_ca_2,V_b_2,T_b] :
% 163.15/163.06 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.06 => ( 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_a_2))
% 163.15/163.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_less__divide__eq,axiom,
% 163.15/163.06 ! [V_ca_2,V_b_2,V_a_2,T_b] :
% 163.15/163.06 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 163.15/163.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_add__num__frac,axiom,
% 163.15/163.06 ! [V_x,V_z,V_y,T_a] :
% 163.15/163.06 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.15/163.06 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_add__divide__eq__iff,axiom,
% 163.15/163.06 ! [V_y,V_x,V_z,T_a] :
% 163.15/163.06 ( class_Fields_Ofield(T_a)
% 163.15/163.06 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_add__frac__num,axiom,
% 163.15/163.06 ! [V_z,V_x,V_y,T_a] :
% 163.15/163.06 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.15/163.06 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__add__eq__iff,axiom,
% 163.15/163.06 ! [V_y,V_x,V_z,T_a] :
% 163.15/163.06 ( class_Fields_Ofield(T_a)
% 163.15/163.06 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_add__frac__eq,axiom,
% 163.15/163.06 ! [V_w,V_x,V_z,V_y,T_a] :
% 163.15/163.06 ( class_Fields_Ofield(T_a)
% 163.15/163.06 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.06 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_diff__frac__eq,axiom,
% 163.15/163.06 ! [V_w,V_x,V_z,V_y,T_a] :
% 163.15/163.06 ( class_Fields_Ofield(T_a)
% 163.15/163.06 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.06 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__diff__eq__iff,axiom,
% 163.15/163.06 ! [V_y,V_x,V_z,T_a] :
% 163.15/163.06 ( class_Fields_Ofield(T_a)
% 163.15/163.06 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_diff__divide__eq__iff,axiom,
% 163.15/163.06 ! [V_y,V_x,V_z,T_a] :
% 163.15/163.06 ( class_Fields_Ofield(T_a)
% 163.15/163.06 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_gt__half__sum,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))),V_b)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_less__half__sum,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__left__mono__neg,axiom,
% 163.15/163.06 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__left__mono,axiom,
% 163.15/163.06 ! [V_c,V_a,V_b,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_neg__divide__le__eq,axiom,
% 163.15/163.06 ! [V_a_2,V_b_2,V_ca_2,T_b] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => ( 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_a_2))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_setprod__Un,axiom,
% 163.15/163.06 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.06 ( class_Fields_Ofield(T_c)
% 163.15/163.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.06 => ( ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.15/163.06 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 163.15/163.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_setsum__mono__zero__left,axiom,
% 163.15/163.06 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 163.15/163.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 163.15/163.06 => ( ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 163.15/163.06 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 163.15/163.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_setsum__mono__zero__right,axiom,
% 163.15/163.06 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 163.15/163.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 163.15/163.06 => ( ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 163.15/163.06 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 163.15/163.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_field__le__mult__one__interval,axiom,
% 163.15/163.06 ! [V_y,V_x,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.15/163.06 => ( ! [B_z] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_z),V_x)),V_y)) ) )
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_setprod__pos__nat,axiom,
% 163.15/163.06 ! [V_f_2,V_S_2,T_b] :
% 163.15/163.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.15/163.06 => ( ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) )
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_setsum__SucD,axiom,
% 163.15/163.06 ! [V_n_2,V_A_2,V_f_2,T_b] :
% 163.15/163.06 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2)
% 163.15/163.06 => ? [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osize_I5_J,axiom,
% 163.15/163.06 ! [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))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osimps_I4_J,axiom,
% 163.15/163.06 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 163.15/163.06 ( 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)
% 163.15/163.06 <=> ( V_fun_2 = V_fun_H_2
% 163.15/163.06 & V_com1_2 = V_com1_H_2
% 163.15/163.06 & V_com2_2 = V_com2_H_2 ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osimps_I45_J,axiom,
% 163.15/163.06 ! [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) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osimps_I44_J,axiom,
% 163.15/163.06 ! [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) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osimps_I15_J,axiom,
% 163.15/163.06 ! [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 ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osimps_I14_J,axiom,
% 163.15/163.06 ! [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) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osize_I13_J,axiom,
% 163.15/163.06 ! [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))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_card_Oneutral,axiom,
% 163.15/163.06 ! [V_A_2,T_b] :
% 163.15/163.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.06 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.06 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.06 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 163.15/163.06 ! [V_ca_2,V_b_2,V_A_2,T_b] :
% 163.15/163.06 ( class_Orderings_Olinorder(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.06 => ( ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 163.15/163.06 => 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))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_fold__image__cong,axiom,
% 163.15/163.06 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 163.15/163.06 ( class_Groups_Oab__semigroup__mult(T_c)
% 163.15/163.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.06 => ( ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.06 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 163.15/163.06 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),V_z_2),V_A_2) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Min__eqI,axiom,
% 163.15/163.06 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.06 ( class_Orderings_Olinorder(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.06 => ( ! [B_y] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.06 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_inf__le__fold__inf,axiom,
% 163.15/163.06 ! [V_ca_2,V_b_2,V_A_2,T_b] :
% 163.15/163.06 ( class_Lattices_Osemilattice__inf(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.06 => ( ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 163.15/163.06 => 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))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_fold__sup__le__sup,axiom,
% 163.15/163.06 ! [V_ca_2,V_b_2,V_A_2,T_b] :
% 163.15/163.06 ( class_Lattices_Osemilattice__sup(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.06 => ( ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 163.15/163.06 => 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))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_expand__Suc,axiom,
% 163.15/163.06 ! [V_v] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)))
% 163.15/163.06 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_eq__number__of,axiom,
% 163.15/163.06 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.06 ( ( class_Int_Onumber__ring(T_b)
% 163.15/163.06 & class_Int_Oring__char__0(T_b) )
% 163.15/163.06 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 163.15/163.06 <=> V_x_2 = V_y_2 ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_number__of__reorient,axiom,
% 163.15/163.06 ! [V_x_2,V_w_2,T_b] :
% 163.15/163.06 ( class_Int_Onumber(T_b)
% 163.15/163.06 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 163.15/163.06 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_le__number__of,axiom,
% 163.15/163.06 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.06 ( ( class_Int_Onumber__ring(T_b)
% 163.15/163.06 & class_Rings_Olinordered__idom(T_b) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_less__number__of,axiom,
% 163.15/163.06 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.06 ( ( class_Int_Onumber__ring(T_b)
% 163.15/163.06 & class_Rings_Olinordered__idom(T_b) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_add__number__of__left,axiom,
% 163.15/163.06 ! [V_z,V_w,V_v,T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w))),V_z) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_add__number__of__eq,axiom,
% 163.15/163.06 ! [V_w,V_v,T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_number__of__add,axiom,
% 163.15/163.06 ! [V_w,V_v,T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_number__of__mult,axiom,
% 163.15/163.06 ! [V_w,V_v,T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_arith__simps_I32_J,axiom,
% 163.15/163.06 ! [V_w,V_v,T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mult__number__of__left,axiom,
% 163.15/163.06 ! [V_z,V_w,V_v,T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w))),V_z) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_number__of__diff,axiom,
% 163.15/163.06 ! [V_w,V_v,T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_le__number__of__eq__not__less,axiom,
% 163.15/163.06 ! [V_w_2,V_v_2,T_b] :
% 163.15/163.06 ( ( class_Int_Onumber(T_b)
% 163.15/163.06 & class_Orderings_Olinorder(T_b) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 163.15/163.06 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_left__distrib__number__of,axiom,
% 163.15/163.06 ! [V_v,V_b,V_a,T_b] :
% 163.15/163.06 ( ( class_Int_Onumber(T_b)
% 163.15/163.06 & class_Rings_Osemiring(T_b) )
% 163.15/163.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a),V_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_right__distrib__number__of,axiom,
% 163.15/163.06 ! [V_c,V_b,V_v,T_b] :
% 163.15/163.06 ( ( class_Int_Onumber(T_b)
% 163.15/163.06 & class_Rings_Osemiring(T_b) )
% 163.15/163.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_c)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_add__number__of__diff1,axiom,
% 163.15/163.06 ! [V_c,V_w,V_v,T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_c)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w))),V_c) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_right__diff__distrib__number__of,axiom,
% 163.15/163.06 ! [V_c,V_b,V_v,T_b] :
% 163.15/163.06 ( ( class_Int_Onumber(T_b)
% 163.15/163.06 & class_Rings_Oring(T_b) )
% 163.15/163.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b),V_c)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_c)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_left__diff__distrib__number__of,axiom,
% 163.15/163.06 ! [V_v,V_b,V_a,T_b] :
% 163.15/163.06 ( ( class_Int_Onumber(T_b)
% 163.15/163.06 & class_Rings_Oring(T_b) )
% 163.15/163.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a),V_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_min__number__of,axiom,
% 163.15/163.06 ! [V_v,V_u,T_b] :
% 163.15/163.06 ( ( class_Int_Onumber(T_b)
% 163.15/163.06 & class_Orderings_Oord(T_b) )
% 163.15/163.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 163.15/163.06 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 163.15/163.06 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Ints__number__of,axiom,
% 163.15/163.06 ! [V_w_2,T_b] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_b)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__eq__eq__number__of1,axiom,
% 163.15/163.06 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 163.15/163.06 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 163.15/163.06 & class_Int_Onumber(T_b) )
% 163.15/163.06 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_a_2
% 163.15/163.06 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) )
% 163.15/163.06 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__eq__eq__number__of,axiom,
% 163.15/163.06 ! [V_w_2,V_ca_2,V_b_2,T_b] :
% 163.15/163.06 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 163.15/163.06 & class_Int_Onumber(T_b) )
% 163.15/163.06 => ( 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)
% 163.15/163.06 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 => 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) )
% 163.15/163.06 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_eq__divide__eq__number__of,axiom,
% 163.15/163.06 ! [V_ca_2,V_b_2,V_w_2,T_b] :
% 163.15/163.06 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 163.15/163.06 & class_Int_Onumber(T_b) )
% 163.15/163.06 => ( 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)
% 163.15/163.06 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 => 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 )
% 163.15/163.06 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_eq__divide__eq__number__of1,axiom,
% 163.15/163.06 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 163.15/163.06 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 163.15/163.06 & class_Int_Onumber(T_b) )
% 163.15/163.06 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))
% 163.15/163.06 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_b_2 )
% 163.15/163.06 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__less__eq__number__of1,axiom,
% 163.15/163.06 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 163.15/163.06 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.06 & class_Int_Onumber(T_b) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 163.15/163.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 163.15/163.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__less__eq__number__of,axiom,
% 163.15/163.06 ! [V_w_2,V_ca_2,V_b_2,T_b] :
% 163.15/163.06 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.06 & class_Int_Onumber(T_b) )
% 163.15/163.06 => ( 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)))
% 163.15/163.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.06 => 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))) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => 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)) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_less__divide__eq__number__of,axiom,
% 163.15/163.06 ! [V_ca_2,V_b_2,V_w_2,T_b] :
% 163.15/163.06 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.06 & class_Int_Onumber(T_b) )
% 163.15/163.06 => ( 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)))
% 163.15/163.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.06 => 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)) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => 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))) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_less__divide__eq__number__of1,axiom,
% 163.15/163.06 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 163.15/163.06 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.06 & class_Int_Onumber(T_b) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 163.15/163.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 163.15/163.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_le__divide__eq__number__of1,axiom,
% 163.15/163.06 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 163.15/163.06 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.06 & class_Int_Onumber(T_b) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 163.15/163.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 163.15/163.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_le__divide__eq__number__of,axiom,
% 163.15/163.06 ! [V_ca_2,V_b_2,V_w_2,T_b] :
% 163.15/163.06 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.06 & class_Int_Onumber(T_b) )
% 163.15/163.06 => ( 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)))
% 163.15/163.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.06 => 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)) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => 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))) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__le__eq__number__of,axiom,
% 163.15/163.06 ! [V_w_2,V_ca_2,V_b_2,T_b] :
% 163.15/163.06 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.06 & class_Int_Onumber(T_b) )
% 163.15/163.06 => ( 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)))
% 163.15/163.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.06 => 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))) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 163.15/163.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => 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)) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__le__eq__number__of1,axiom,
% 163.15/163.06 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 163.15/163.06 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.06 & class_Int_Onumber(T_b) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 163.15/163.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 163.15/163.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osize_I3_J,axiom,
% 163.15/163.06 ! [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))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osize_I11_J,axiom,
% 163.15/163.06 ! [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))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_UnionE,axiom,
% 163.15/163.06 ! [V_C_2,V_A_2,T_b] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 163.15/163.06 => ~ ! [B_X] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 163.15/163.06 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_setprod__pos,axiom,
% 163.15/163.06 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.15/163.06 ( class_Rings_Olinordered__semidom(T_c)
% 163.15/163.06 => ( ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_setprod__nonneg,axiom,
% 163.15/163.06 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.15/163.06 ( class_Rings_Olinordered__semidom(T_c)
% 163.15/163.06 => ( ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_number__of__succ,axiom,
% 163.15/163.06 ! [V_k,T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Osucc(V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_field__le__epsilon,axiom,
% 163.15/163.06 ! [V_y,V_x,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( ! [B_e] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),B_e))) )
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_less__eq__number__of__int__code,axiom,
% 163.15/163.06 ! [V_l_2,V_k_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_plus__numeral__code_I9_J,axiom,
% 163.15/163.06 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_times__numeral__code_I5_J,axiom,
% 163.15/163.06 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_less__number__of__int__code,axiom,
% 163.15/163.06 ! [V_l_2,V_k_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_odd__nonzero,axiom,
% 163.15/163.06 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)),V_z) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_odd__less__0,axiom,
% 163.15/163.06 ! [V_z_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)),V_z_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_int__0__less__1,axiom,
% 163.15/163.06 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_pos__zmult__eq__1__iff,axiom,
% 163.15/163.06 ! [V_n_2,V_m_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 163.15/163.06 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.15/163.06 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.15/163.06 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_int__one__le__iff__zero__less,axiom,
% 163.15/163.06 ! [V_z_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_le__imp__0__less,axiom,
% 163.15/163.06 ! [V_z] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zadd__0__right,axiom,
% 163.15/163.06 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zadd__0,axiom,
% 163.15/163.06 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zmult__zless__mono2,axiom,
% 163.15/163.06 ! [V_k,V_j,V_i] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_less__bin__lemma,axiom,
% 163.15/163.06 ! [V_l_2,V_k_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zadd__zless__mono,axiom,
% 163.15/163.06 ! [V_z,V_z_H,V_w,V_w_H] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_H),V_z_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zless__le,axiom,
% 163.15/163.06 ! [V_w_2,V_z_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 163.15/163.06 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 163.15/163.06 & V_z_2 != V_w_2 ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zdiff__zmult__distrib,axiom,
% 163.15/163.06 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zdiff__zmult__distrib2,axiom,
% 163.15/163.06 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zless__linear,axiom,
% 163.15/163.06 ! [V_y,V_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 163.15/163.06 | V_x = V_y
% 163.15/163.06 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zmult__commute,axiom,
% 163.15/163.06 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zmult__assoc,axiom,
% 163.15/163.06 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zadd__zmult__distrib2,axiom,
% 163.15/163.06 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zadd__zmult__distrib,axiom,
% 163.15/163.06 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zadd__strict__right__mono,axiom,
% 163.15/163.06 ! [V_k,V_j,V_i] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_j),V_k))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zadd__commute,axiom,
% 163.15/163.06 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zadd__left__commute,axiom,
% 163.15/163.06 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_z)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zadd__assoc,axiom,
% 163.15/163.06 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z2),V_z3)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zle__refl,axiom,
% 163.15/163.06 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zle__linear,axiom,
% 163.15/163.06 ! [V_w,V_z] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 163.15/163.06 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zle__trans,axiom,
% 163.15/163.06 ! [V_k,V_j,V_i] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zle__antisym,axiom,
% 163.15/163.06 ! [V_w,V_z] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 163.15/163.06 => V_z = V_w ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zadd__left__mono,axiom,
% 163.15/163.06 ! [V_k,V_j,V_i] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_i)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_j))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zle__add1__eq__le,axiom,
% 163.15/163.06 ! [V_z_2,V_w_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_add1__zle__eq,axiom,
% 163.15/163.06 ! [V_z_2,V_w_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z_2))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zless__imp__add1__zle,axiom,
% 163.15/163.06 ! [V_z,V_w] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zle__diff1__eq,axiom,
% 163.15/163.06 ! [V_z_2,V_w_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zmult__1,axiom,
% 163.15/163.06 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zmult__1__right,axiom,
% 163.15/163.06 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zless__add1__eq,axiom,
% 163.15/163.06 ! [V_z_2,V_w_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 163.15/163.06 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 163.15/163.06 | V_w_2 = V_z_2 ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_succ__def,axiom,
% 163.15/163.06 ! [V_k] : c_Int_Osucc(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osimps_I2_J,axiom,
% 163.15/163.06 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 163.15/163.06 ( 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)
% 163.15/163.06 <=> ( V_loc_2 = V_loc_H_2
% 163.15/163.06 & V_fun_2 = V_fun_H_2
% 163.15/163.06 & V_com_2 = V_com_H_2 ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osimps_I37_J,axiom,
% 163.15/163.06 ! [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) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osimps_I36_J,axiom,
% 163.15/163.06 ! [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) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osimps_I34_J,axiom,
% 163.15/163.06 ! [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) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osimps_I35_J,axiom,
% 163.15/163.06 ! [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) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osimps_I11_J,axiom,
% 163.15/163.06 ! [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 ).
% 163.15/163.06
% 163.15/163.06 fof(fact_com_Osimps_I10_J,axiom,
% 163.15/163.06 ! [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) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_self__quotient__aux1,axiom,
% 163.15/163.06 ! [V_q,V_r,V_a] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.06 => ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_self__quotient__aux2,axiom,
% 163.15/163.06 ! [V_q,V_r,V_a] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.06 => ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 163.15/163.06 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 163.15/163.06 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_unique__quotient__lemma__neg,axiom,
% 163.15/163.06 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zdiv__mono2__lemma,axiom,
% 163.15/163.06 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 163.15/163.06 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_unique__quotient__lemma,axiom,
% 163.15/163.06 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_q__neg__lemma,axiom,
% 163.15/163.06 ! [V_r_H,V_q_H,V_b_H] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_number__of__is__id,axiom,
% 163.15/163.06 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 163.15/163.06
% 163.15/163.06 fof(fact_int__0__neq__1,axiom,
% 163.15/163.06 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_q__pos__lemma,axiom,
% 163.15/163.06 ! [V_r_H,V_q_H,V_b_H] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 163.15/163.06 ! [V_y,V_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 163.15/163.06 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 163.15/163.06 ! [V_y,V_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Suc__nat__number__of__add,axiom,
% 163.15/163.06 ! [V_n,V_v] :
% 163.15/163.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.06 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.06 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v))),V_n) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 163.15/163.06 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Suc__nat__number__of,axiom,
% 163.15/163.06 ! [V_v] :
% 163.15/163.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.06 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.06 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__number__of__lemma,axiom,
% 163.15/163.06 ! [V_v,T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.06 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.06 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__eq__iff,axiom,
% 163.15/163.06 ! [V_n_2,V_m_2,T_b] :
% 163.15/163.06 ( class_Nat_Osemiring__char__0(T_b)
% 163.15/163.06 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)
% 163.15/163.06 <=> V_m_2 = V_n_2 ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_not__neg__int,axiom,
% 163.15/163.06 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 163.15/163.06 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 163.15/163.06 ! [V_z] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 163.15/163.06 ! [V_Pa_2] :
% 163.15/163.06 ( ? [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.15/163.06 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.15/163.06 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 163.15/163.06 ! [V_Pa_2] :
% 163.15/163.06 ( ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.15/163.06 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.15/163.06 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 163.15/163.06 ! [V_y_2,V_x_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 163.15/163.06 ! [V_y_2,V_x_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 163.15/163.06 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_y)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_not__neg__0,axiom,
% 163.15/163.06 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 163.15/163.06 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 163.15/163.06 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_not__neg__1,axiom,
% 163.15/163.06 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_int__nat__number__of,axiom,
% 163.15/163.06 ! [V_v] :
% 163.15/163.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.06 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.06 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_int__0,axiom,
% 163.15/163.06 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_int__eq__0__conv,axiom,
% 163.15/163.06 ! [V_n_2] :
% 163.15/163.06 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.06 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zero__zle__int,axiom,
% 163.15/163.06 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_int__less__0__conv,axiom,
% 163.15/163.06 ! [V_k] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zless__int,axiom,
% 163.15/163.06 ! [V_n_2,V_m_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zle__int,axiom,
% 163.15/163.06 ! [V_n_2,V_m_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zadd__int__left,axiom,
% 163.15/163.06 ! [V_z,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))),V_z) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zadd__int,axiom,
% 163.15/163.06 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zle__iff__zadd,axiom,
% 163.15/163.06 ! [V_z_2,V_w_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 163.15/163.06 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__0__le__iff,axiom,
% 163.15/163.06 ! [V_n,T_a] :
% 163.15/163.06 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zero__le__imp__of__nat,axiom,
% 163.15/163.06 ! [V_m,T_a] :
% 163.15/163.06 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__less__0__iff,axiom,
% 163.15/163.06 ! [V_m,T_a] :
% 163.15/163.06 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.06 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__number__of__eq,axiom,
% 163.15/163.06 ! [V_v,T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.06 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(T_a) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.06 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zmult__int,axiom,
% 163.15/163.06 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_int__mult,axiom,
% 163.15/163.06 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__0,axiom,
% 163.15/163.06 ! [T_a] :
% 163.15/163.06 ( class_Rings_Osemiring__1(T_a)
% 163.15/163.06 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__less__imp__less,axiom,
% 163.15/163.06 ! [V_n,V_m,T_a] :
% 163.15/163.06 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_less__imp__of__nat__less,axiom,
% 163.15/163.06 ! [V_n,V_m,T_a] :
% 163.15/163.06 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__less__iff,axiom,
% 163.15/163.06 ! [V_n_2,V_m_2,T_b] :
% 163.15/163.06 ( class_Rings_Olinordered__semidom(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_int__1,axiom,
% 163.15/163.06 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__le__iff,axiom,
% 163.15/163.06 ! [V_n_2,V_m_2,T_b] :
% 163.15/163.06 ( class_Rings_Olinordered__semidom(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__add,axiom,
% 163.15/163.06 ! [V_n,V_m,T_a] :
% 163.15/163.06 ( class_Rings_Osemiring__1(T_a)
% 163.15/163.06 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__mult,axiom,
% 163.15/163.06 ! [V_n,V_m,T_a] :
% 163.15/163.06 ( class_Rings_Osemiring__1(T_a)
% 163.15/163.06 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__1,axiom,
% 163.15/163.06 ! [T_a] :
% 163.15/163.06 ( class_Rings_Osemiring__1(T_a)
% 163.15/163.06 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Ints__of__nat,axiom,
% 163.15/163.06 ! [V_n_2,T_b] :
% 163.15/163.06 ( class_Rings_Oring__1(T_b)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_not__neg__eq__ge__0,axiom,
% 163.15/163.06 ! [V_x_2] :
% 163.15/163.06 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_neg__def,axiom,
% 163.15/163.06 ! [V_Z_2] :
% 163.15/163.06 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_int__le__0__conv,axiom,
% 163.15/163.06 ! [V_n_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.06 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_int__Suc0__eq__1,axiom,
% 163.15/163.06 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zless__iff__Suc__zadd,axiom,
% 163.15/163.06 ! [V_z_2,V_w_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 163.15/163.06 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_int__Suc,axiom,
% 163.15/163.06 ! [V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zdiff__int,axiom,
% 163.15/163.06 ! [V_m,V_n] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__Suc,axiom,
% 163.15/163.06 ! [V_m,T_a] :
% 163.15/163.06 ( class_Rings_Osemiring__1(T_a)
% 163.15/163.06 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__diff,axiom,
% 163.15/163.06 ! [V_m,V_n,T_a] :
% 163.15/163.06 ( class_Rings_Oring__1(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.15/163.06 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_neg__imp__number__of__eq__0,axiom,
% 163.15/163.06 ! [V_v] :
% 163.15/163.06 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.06 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zero__less__int__conv,axiom,
% 163.15/163.06 ! [V_n_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zmult__zless__mono2__lemma,axiom,
% 163.15/163.06 ! [V_k,V_j,V_i] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_j))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__0__less__iff,axiom,
% 163.15/163.06 ! [V_n_2,T_b] :
% 163.15/163.06 ( class_Rings_Olinordered__semidom(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_eq__nat__number__of,axiom,
% 163.15/163.06 ! [V_v_H_2,V_v_2] :
% 163.15/163.06 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)
% 163.15/163.06 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 163.15/163.06 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 163.15/163.06 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 163.15/163.06 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_nat__number__of__add__left,axiom,
% 163.15/163.06 ! [V_k,V_v_H,V_v] :
% 163.15/163.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.06 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_k) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zdiff__int__split,axiom,
% 163.15/163.06 ! [V_y_2,V_x_2,V_Pa_2] :
% 163.15/163.06 ( 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))))
% 163.15/163.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 163.15/163.06 => 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)))) )
% 163.15/163.06 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 163.15/163.06 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_setsum__bounded,axiom,
% 163.15/163.06 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 163.15/163.06 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 163.15/163.06 & class_Rings_Osemiring__1(T_c) )
% 163.15/163.06 => ( ! [B_i] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_K_2))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_tsub__def,axiom,
% 163.15/163.06 ! [V_x,V_y] :
% 163.15/163.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 163.15/163.06 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 163.15/163.06 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_nat__1__add__number__of,axiom,
% 163.15/163.06 ! [V_v] :
% 163.15/163.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_nat__number__of__add__1,axiom,
% 163.15/163.06 ! [V_v] :
% 163.15/163.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_neg__number__of__pred__iff__0,axiom,
% 163.15/163.06 ! [V_v_2] :
% 163.15/163.06 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 163.15/163.06 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mult__nat__number__of,axiom,
% 163.15/163.06 ! [V_v_H,V_v] :
% 163.15/163.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_int__int__eq,axiom,
% 163.15/163.06 ! [V_n_2,V_m_2] :
% 163.15/163.06 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)
% 163.15/163.06 <=> V_m_2 = V_n_2 ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 163.15/163.06 ! [V_y_2,V_x_2] :
% 163.15/163.06 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)
% 163.15/163.06 <=> V_x_2 = V_y_2 ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Pls__def,axiom,
% 163.15/163.06 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_rel__simps_I19_J,axiom,
% 163.15/163.06 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_rel__simps_I2_J,axiom,
% 163.15/163.06 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_add__Pls__right,axiom,
% 163.15/163.06 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 163.15/163.06
% 163.15/163.06 fof(fact_add__Pls,axiom,
% 163.15/163.06 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mult__Pls,axiom,
% 163.15/163.06 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 163.15/163.06
% 163.15/163.06 fof(fact_diff__bin__simps_I1_J,axiom,
% 163.15/163.06 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 163.15/163.06
% 163.15/163.06 fof(fact_succ__pred,axiom,
% 163.15/163.06 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 163.15/163.06
% 163.15/163.06 fof(fact_semiring__norm_I112_J,axiom,
% 163.15/163.06 ! [T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_number__of__Pls,axiom,
% 163.15/163.06 ! [T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_add__numeral__0,axiom,
% 163.15/163.06 ! [V_a,T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)),V_a) = V_a ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_add__numeral__0__right,axiom,
% 163.15/163.06 ! [V_a,T_a] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = V_a ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_number__of2,axiom,
% 163.15/163.06 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_bin__less__0__simps_I1_J,axiom,
% 163.15/163.06 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_nat__number__of__Pls,axiom,
% 163.15/163.06 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_semiring__norm_I113_J,axiom,
% 163.15/163.06 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zero__is__num__zero,axiom,
% 163.15/163.06 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Suc__diff__number__of,axiom,
% 163.15/163.06 ! [V_m,V_v] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_not__neg__number__of__Pls,axiom,
% 163.15/163.06 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_le__iff__pred__less,axiom,
% 163.15/163.06 ! [V_l_2,V_k_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_pred__def,axiom,
% 163.15/163.06 ! [V_k] : c_Int_Opred(V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 163.15/163.06 ! [V_y,V_x] : c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x),V_y)) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_nat__number__of__diff__1,axiom,
% 163.15/163.06 ! [V_v] :
% 163.15/163.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divide__Numeral0,axiom,
% 163.15/163.06 ! [V_x,T_a] :
% 163.15/163.06 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 163.15/163.06 & class_Int_Onumber__ring(T_a) )
% 163.15/163.06 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_eq__number__of__0,axiom,
% 163.15/163.06 ! [V_v_2] :
% 163.15/163.06 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_eq__0__number__of,axiom,
% 163.15/163.06 ! [V_v_2] :
% 163.15/163.06 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_less__nat__number__of,axiom,
% 163.15/163.06 ! [V_v_H_2,V_v_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)))
% 163.15/163.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 163.15/163.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_le__nat__number__of,axiom,
% 163.15/163.06 ! [V_v_H_2,V_v_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)))
% 163.15/163.06 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_le__special_I3_J,axiom,
% 163.15/163.06 ! [V_x_2,T_b] :
% 163.15/163.06 ( ( class_Int_Onumber__ring(T_b)
% 163.15/163.06 & class_Rings_Olinordered__idom(T_b) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_le__special_I1_J,axiom,
% 163.15/163.06 ! [V_y_2,T_b] :
% 163.15/163.06 ( ( class_Int_Onumber__ring(T_b)
% 163.15/163.06 & class_Rings_Olinordered__idom(T_b) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_less__special_I1_J,axiom,
% 163.15/163.06 ! [V_y_2,T_b] :
% 163.15/163.06 ( ( class_Int_Onumber__ring(T_b)
% 163.15/163.06 & class_Rings_Olinordered__idom(T_b) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_less__special_I3_J,axiom,
% 163.15/163.06 ! [V_x_2,T_b] :
% 163.15/163.06 ( ( class_Int_Onumber__ring(T_b)
% 163.15/163.06 & class_Rings_Olinordered__idom(T_b) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_less__0__number__of,axiom,
% 163.15/163.06 ! [V_v_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 163.15/163.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_add__nat__number__of,axiom,
% 163.15/163.06 ! [V_v_H,V_v] :
% 163.15/163.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.15/163.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H)) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 163.15/163.06 ! [V_y,V_x] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(V_x,V_y))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_tsub__eq,axiom,
% 163.15/163.06 ! [V_x,V_y] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 163.15/163.06 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_nat__number__of__mult__left,axiom,
% 163.15/163.06 ! [V_k,V_v_H,V_v] :
% 163.15/163.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Nats__number__of,axiom,
% 163.15/163.06 ! [V_w_2,T_b] :
% 163.15/163.06 ( class_Int_Onumber__ring(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_decr__mult__lemma,axiom,
% 163.15/163.06 ! [V_k_2,V_Pa_2,V_d_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 163.15/163.06 => ( ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(V_Pa_2,B_x))
% 163.15/163.06 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.15/163.06 => ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(V_Pa_2,B_x))
% 163.15/163.06 => 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)))) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_incr__mult__lemma,axiom,
% 163.15/163.06 ! [V_k_2,V_Pa_2,V_d_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 163.15/163.06 => ( ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(V_Pa_2,B_x))
% 163.15/163.06 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.15/163.06 => ! [B_x] :
% 163.15/163.06 ( hBOOL(hAPP(V_Pa_2,B_x))
% 163.15/163.06 => 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)))) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zero__less__imp__eq__int,axiom,
% 163.15/163.06 ! [V_k] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 163.15/163.06 => ? [B_n] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 163.15/163.06 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_incr__lemma,axiom,
% 163.15/163.06 ! [V_x,V_z,V_d] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d)))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_decr__lemma,axiom,
% 163.15/163.06 ! [V_z,V_x,V_d] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d))),V_z)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__idempotent,axiom,
% 163.15/163.06 ! [V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__le__D1,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__ge__self,axiom,
% 163.15/163.06 ! [V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__zero,axiom,
% 163.15/163.06 ! [T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__eq__0,axiom,
% 163.15/163.06 ! [V_a_2,T_b] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.15/163.06 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.06 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__add__abs,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__mult__self,axiom,
% 163.15/163.06 ! [V_a,T_a] :
% 163.15/163.06 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__mult,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__minus__commute,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__one,axiom,
% 163.15/163.06 ! [T_a] :
% 163.15/163.06 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__of__nat,axiom,
% 163.15/163.06 ! [V_n,T_a] :
% 163.15/163.06 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__divide,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.15/163.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__int__eq,axiom,
% 163.15/163.06 ! [V_m] : hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__ge__zero,axiom,
% 163.15/163.06 ! [V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__le__zero__iff,axiom,
% 163.15/163.06 ! [V_a_2,T_b] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.06 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__of__nonneg,axiom,
% 163.15/163.06 ! [V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__not__less__zero,axiom,
% 163.15/163.06 ! [V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zero__less__abs__iff,axiom,
% 163.15/163.06 ! [V_a_2,T_b] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)))
% 163.15/163.06 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__of__pos,axiom,
% 163.15/163.06 ! [V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__triangle__ineq,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__mult__less,axiom,
% 163.15/163.06 ! [V_d,V_b,V_c,V_a,T_a] :
% 163.15/163.06 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__triangle__ineq2__sym,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__triangle__ineq2,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__triangle__ineq3,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_nonzero__abs__divide,axiom,
% 163.15/163.06 ! [V_a,V_b,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field(T_a)
% 163.15/163.06 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__zmult__eq__1,axiom,
% 163.15/163.06 ! [V_n,V_m] :
% 163.15/163.06 ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n)) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.15/163.06 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__mult__pos,axiom,
% 163.15/163.06 ! [V_y,V_x,T_a] :
% 163.15/163.06 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_y)),V_x) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__eq__mult,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Rings_Oordered__ring__abs(T_a)
% 163.15/163.06 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.06 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 163.15/163.06 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.06 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 163.15/163.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__diff__triangle__ineq,axiom,
% 163.15/163.06 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_c))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_d))))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__triangle__ineq4,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_abs__div__pos,axiom,
% 163.15/163.06 ! [V_x,V_y,T_a] :
% 163.15/163.06 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.15/163.06 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)),V_y) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zabs__less__one__iff,axiom,
% 163.15/163.06 ! [V_z_2] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 163.15/163.06 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Nats__0,axiom,
% 163.15/163.06 ! [T_b] :
% 163.15/163.06 ( class_Rings_Osemiring__1(T_b)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Nats__add,axiom,
% 163.15/163.06 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.06 ( class_Rings_Osemiring__1(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Nats__mult,axiom,
% 163.15/163.06 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.06 ( class_Rings_Osemiring__1(T_b)
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Nats__1,axiom,
% 163.15/163.06 ! [T_b] :
% 163.15/163.06 ( class_Rings_Osemiring__1(T_b)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_of__nat__in__Nats,axiom,
% 163.15/163.06 ! [V_n_2,T_b] :
% 163.15/163.06 ( class_Rings_Osemiring__1(T_b)
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_int__val__lemma,axiom,
% 163.15/163.06 ! [V_k_2,V_f_2,V_n_2] :
% 163.15/163.06 ( ! [B_i] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 163.15/163.06 => ? [B_i] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 163.15/163.06 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_nat0__intermed__int__val,axiom,
% 163.15/163.06 ! [V_k_2,V_f_2,V_n_2] :
% 163.15/163.06 ( ! [B_i] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 163.15/163.06 => ? [B_i] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 163.15/163.06 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_nat__intermed__int__val,axiom,
% 163.15/163.06 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 163.15/163.06 ( ! [B_i] :
% 163.15/163.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 163.15/163.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 163.15/163.06 => ? [B_i] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 163.15/163.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 163.15/163.06 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 163.15/163.06 ! [V_m,V_n] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls)),V_n))
% 163.15/163.06 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)))) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_divmod__int__rel__mod__eq,axiom,
% 163.15/163.06 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 163.15/163.06 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_q_1)),V_y)
% 163.15/163.06 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.15/163.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 163.15/163.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 163.15/163.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 163.15/163.06 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zmult2__lemma__aux2,axiom,
% 163.15/163.06 ! [V_q,V_r,V_b,V_c] :
% 163.15/163.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 163.15/163.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_rel__simps_I51_J,axiom,
% 163.15/163.06 ! [V_l_2,V_k_2] :
% 163.15/163.06 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 163.15/163.06 <=> V_k_2 = V_l_2 ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mod__mod__trivial,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mod__0,axiom,
% 163.15/163.06 ! [V_a,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mod__by__0,axiom,
% 163.15/163.06 ! [V_a,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mod__self,axiom,
% 163.15/163.06 ! [V_a,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mod__add__self2,axiom,
% 163.15/163.06 ! [V_b,V_a,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mod__add__self1,axiom,
% 163.15/163.06 ! [V_a,V_b,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mod__add__right__eq,axiom,
% 163.15/163.06 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mod__add__left__eq,axiom,
% 163.15/163.06 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mod__add__eq,axiom,
% 163.15/163.06 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zmod__simps_I2_J,axiom,
% 163.15/163.06 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zmod__simps_I1_J,axiom,
% 163.15/163.06 ! [V_b,V_c,V_a,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mod__add__cong,axiom,
% 163.15/163.06 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 163.15/163.06 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mod__mult__cong,axiom,
% 163.15/163.06 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 163.15/163.06 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_zmod__simps_I4_J,axiom,
% 163.15/163.06 ! [V_b,V_c,V_a,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mod__mult__mult2,axiom,
% 163.15/163.06 ! [V_b,V_c,V_a,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.06 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_c) ) ).
% 163.15/163.06
% 163.15/163.06 fof(fact_mod__mult__mult1,axiom,
% 163.15/163.06 ! [V_b,V_a,V_c,T_a] :
% 163.15/163.06 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__mult__eq,axiom,
% 163.15/163.07 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__mult__left__eq,axiom,
% 163.15/163.07 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__mult__right__eq,axiom,
% 163.15/163.07 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__diff__right__eq,axiom,
% 163.15/163.07 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Oring__div(T_a)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__diff__left__eq,axiom,
% 163.15/163.07 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Oring__div(T_a)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__diff__eq,axiom,
% 163.15/163.07 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Oring__div(T_a)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__diff__cong,axiom,
% 163.15/163.07 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Oring__div(T_a)
% 163.15/163.07 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 163.15/163.07 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__zero,axiom,
% 163.15/163.07 ! [V_b] : c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__self,axiom,
% 163.15/163.07 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_less__eq__int__code_I16_J,axiom,
% 163.15/163.07 ! [V_k2_2,V_k1_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I34_J,axiom,
% 163.15/163.07 ! [V_l_2,V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I17_J,axiom,
% 163.15/163.07 ! [V_l_2,V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_less__int__code_I16_J,axiom,
% 163.15/163.07 ! [V_k2_2,V_k1_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I46_J,axiom,
% 163.15/163.07 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I39_J,axiom,
% 163.15/163.07 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__simps_I3_J,axiom,
% 163.15/163.07 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__zmult1__eq,axiom,
% 163.15/163.07 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c)),V_c) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiff__zmod__right,axiom,
% 163.15/163.07 ! [V_m,V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_y,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y),V_m) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiff__zmod__left,axiom,
% 163.15/163.07 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y),V_m) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__mult__self2__is__0,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__mult__self1__is__0,axiom,
% 163.15/163.07 ! [V_a,V_b,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__mult__self1,axiom,
% 163.15/163.07 ! [V_b,V_c,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__mult__self2,axiom,
% 163.15/163.07 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__by__1,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 163.15/163.07 ! [V_y,V_x] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__le__nonneg__dividend,axiom,
% 163.15/163.07 ! [V_k,V_m] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_k)),V_m)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_pos__mod__bound,axiom,
% 163.15/163.07 ! [V_a,V_b] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__mod__bound,axiom,
% 163.15/163.07 ! [V_a,V_b] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_bin__less__0__simps_I4_J,axiom,
% 163.15/163.07 ! [V_w_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__eq__0__iff,axiom,
% 163.15/163.07 ! [V_d_2,V_m_2] :
% 163.15/163.07 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.07 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I22_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I12_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Bit1__def,axiom,
% 163.15/163.07 ! [V_k] : c_Int_OBit1(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)),V_k) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__number__of__Bit1,axiom,
% 163.15/163.07 ! [V_w_2] :
% 163.15/163.07 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 163.15/163.07 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_succ__Pls,axiom,
% 163.15/163.07 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_number__of__Bit1,axiom,
% 163.15/163.07 ! [V_w,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mult__numeral__1,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))),V_a) = V_a ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mult__numeral__1__right,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__neg__neg__trivial,axiom,
% 163.15/163.07 ! [V_b,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__mod__conj,axiom,
% 163.15/163.07 ! [V_a,V_b] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__mod__sign,axiom,
% 163.15/163.07 ! [V_a,V_b] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__pos__pos__trivial,axiom,
% 163.15/163.07 ! [V_b,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_pos__mod__conj,axiom,
% 163.15/163.07 ! [V_a,V_b] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)))
% 163.15/163.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_pos__mod__sign,axiom,
% 163.15/163.07 ! [V_a,V_b] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_semiring__norm_I110_J,axiom,
% 163.15/163.07 ! [T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_numeral__1__eq__1,axiom,
% 163.15/163.07 ! [T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I5_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I29_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_divide__numeral__1,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( ( class_Fields_Ofield(T_a)
% 163.15/163.07 & class_Int_Onumber__ring(T_a) )
% 163.15/163.07 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_divide__Numeral1,axiom,
% 163.15/163.07 ! [V_x,T_a] :
% 163.15/163.07 ( ( class_Fields_Ofield(T_a)
% 163.15/163.07 & class_Int_Onumber__ring(T_a) )
% 163.15/163.07 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_x ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_one__is__num__one,axiom,
% 163.15/163.07 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__numeral__1__eq__1,axiom,
% 163.15/163.07 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Numeral1__eq1__nat,axiom,
% 163.15/163.07 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__pos__neg__trivial,axiom,
% 163.15/163.07 ! [V_b,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_numeral__1__eq__Suc__0,axiom,
% 163.15/163.07 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_numeral__3__eq__3,axiom,
% 163.15/163.07 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 163.15/163.07 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Suc3__eq__add__3,axiom,
% 163.15/163.07 ! [V_n] : hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 163.15/163.07 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_le__special_I4_J,axiom,
% 163.15/163.07 ! [V_x_2,T_b] :
% 163.15/163.07 ( ( class_Int_Onumber__ring(T_b)
% 163.15/163.07 & class_Rings_Olinordered__idom(T_b) )
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_le__special_I2_J,axiom,
% 163.15/163.07 ! [V_y_2,T_b] :
% 163.15/163.07 ( ( class_Int_Onumber__ring(T_b)
% 163.15/163.07 & class_Rings_Olinordered__idom(T_b) )
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_less__special_I2_J,axiom,
% 163.15/163.07 ! [V_y_2,T_b] :
% 163.15/163.07 ( ( class_Int_Onumber__ring(T_b)
% 163.15/163.07 & class_Rings_Olinordered__idom(T_b) )
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_less__special_I4_J,axiom,
% 163.15/163.07 ! [V_x_2,T_b] :
% 163.15/163.07 ( ( class_Int_Onumber__ring(T_b)
% 163.15/163.07 & class_Rings_Olinordered__idom(T_b) )
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_add__special_I3_J,axiom,
% 163.15/163.07 ! [V_v,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),c_Int_OBit1(c_Int_OPls))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_add__special_I2_J,axiom,
% 163.15/163.07 ! [V_w,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_w)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_split__zmod,axiom,
% 163.15/163.07 ! [V_k_2,V_n_2,V_Pa_2] :
% 163.15/163.07 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 163.15/163.07 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.07 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 163.15/163.07 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.15/163.07 => ! [B_i,B_j] :
% 163.15/163.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 163.15/163.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 163.15/163.07 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 163.15/163.07 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 163.15/163.07 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => ! [B_i,B_j] :
% 163.15/163.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 163.15/163.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 163.15/163.07 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmult2__lemma__aux3,axiom,
% 163.15/163.07 ! [V_q,V_b,V_r,V_c] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmult2__lemma__aux4,axiom,
% 163.15/163.07 ! [V_q,V_b,V_r,V_c] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c))) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmult2__lemma__aux1,axiom,
% 163.15/163.07 ! [V_q,V_r,V_b,V_c] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__zmod__mult__2,axiom,
% 163.15/163.07 ! [V_b,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_a))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__number__of__Bit1,axiom,
% 163.15/163.07 ! [V_v,V_w] :
% 163.15/163.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 163.15/163.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_pos__zmod__mult__2,axiom,
% 163.15/163.07 ! [V_b,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_a))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_one__code__numeral__code,axiom,
% 163.15/163.07 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OPls)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__minus1,axiom,
% 163.15/163.07 ! [V_b] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__special_I2_J,axiom,
% 163.15/163.07 ! [V_v,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_negative__zle,axiom,
% 163.15/163.07 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_negative__zless,axiom,
% 163.15/163.07 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mult__minus1,axiom,
% 163.15/163.07 ! [V_z,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_z) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_z) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mult__minus1__right,axiom,
% 163.15/163.07 ! [V_z,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_z) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__number__of__mult,axiom,
% 163.15/163.07 ! [V_z,V_w,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),V_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))),V_z) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_pred__Min,axiom,
% 163.15/163.07 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_number__of__minus,axiom,
% 163.15/163.07 ! [V_w,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_arith__simps_I30_J,axiom,
% 163.15/163.07 ! [V_w,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_code__numeral__zero__minus__one,axiom,
% 163.15/163.07 hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Int_OMin__def,axiom,
% 163.15/163.07 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zminus__zminus,axiom,
% 163.15/163.07 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__Bit0,axiom,
% 163.15/163.07 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit0(V_k)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I42_J,axiom,
% 163.15/163.07 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I45_J,axiom,
% 163.15/163.07 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I48_J,axiom,
% 163.15/163.07 ! [V_l_2,V_k_2] :
% 163.15/163.07 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 163.15/163.07 <=> V_k_2 = V_l_2 ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__minus,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_equation__minus__iff,axiom,
% 163.15/163.07 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_b)
% 163.15/163.07 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 163.15/163.07 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__equation__iff,axiom,
% 163.15/163.07 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_b)
% 163.15/163.07 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 163.15/163.07 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__equal__iff__equal,axiom,
% 163.15/163.07 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_b)
% 163.15/163.07 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 163.15/163.07 <=> V_a_2 = V_b_2 ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_double__compl,axiom,
% 163.15/163.07 ! [V_x,T_a] :
% 163.15/163.07 ( class_Lattices_Oboolean__algebra(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_uminus__apply,axiom,
% 163.15/163.07 ! [V_x_2,V_A_2,T_c,T_b] :
% 163.15/163.07 ( class_Groups_Ouminus(T_b)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_compl__eq__compl__iff,axiom,
% 163.15/163.07 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.07 ( class_Lattices_Oboolean__algebra(T_b)
% 163.15/163.07 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 163.15/163.07 <=> V_x_2 = V_y_2 ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I28_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mult__Min,axiom,
% 163.15/163.07 ! [V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I8_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_arith__simps_I31_J,axiom,
% 163.15/163.07 ! [T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_number__of__Min,axiom,
% 163.15/163.07 ! [T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I11_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I25_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_divide__minus1,axiom,
% 163.15/163.07 ! [V_x,T_a] :
% 163.15/163.07 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 163.15/163.07 & class_Int_Onumber__ring(T_a) )
% 163.15/163.07 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__Min,axiom,
% 163.15/163.07 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__bin__simps_I5_J,axiom,
% 163.15/163.07 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__bin__simps_I6_J,axiom,
% 163.15/163.07 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_compl__mono,axiom,
% 163.15/163.07 ! [V_y,V_x,T_a] :
% 163.15/163.07 ( class_Lattices_Oboolean__algebra(T_a)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_compl__le__compl__iff,axiom,
% 163.15/163.07 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.07 ( class_Lattices_Oboolean__algebra(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_le__imp__neg__le,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__le__iff__le,axiom,
% 163.15/163.07 ! [V_a_2,V_b_2,T_b] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__le__iff,axiom,
% 163.15/163.07 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_le__minus__iff,axiom,
% 163.15/163.07 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__zero,axiom,
% 163.15/163.07 ! [T_a] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__0__equal__iff__equal,axiom,
% 163.15/163.07 ! [V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_b)
% 163.15/163.07 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 163.15/163.07 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_equal__neg__zero,axiom,
% 163.15/163.07 ! [V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.15/163.07 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 163.15/163.07 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__equal__0__iff__equal,axiom,
% 163.15/163.07 ! [V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_b)
% 163.15/163.07 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.07 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__equal__zero,axiom,
% 163.15/163.07 ! [V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.15/163.07 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 163.15/163.07 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_less__minus__iff,axiom,
% 163.15/163.07 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__less__iff,axiom,
% 163.15/163.07 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__less__iff__less,axiom,
% 163.15/163.07 ! [V_a_2,V_b_2,T_b] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__add__distrib,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Groups_Oab__group__add(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__add,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_add__minus__cancel,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) = V_b ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__add__cancel,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = V_b ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_square__eq__iff,axiom,
% 163.15/163.07 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.07 ( class_Rings_Oidom(T_b)
% 163.15/163.07 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_b_2)
% 163.15/163.07 <=> ( V_a_2 = V_b_2
% 163.15/163.07 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__mult__minus,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Rings_Oring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__mult__commute,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Rings_Oring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__mult__left,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Rings_Oring(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__mult__right,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Rings_Oring(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__diff__eq,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Groups_Oab__group__add(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 163.15/163.07 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__less,axiom,
% 163.15/163.07 ! [V_n,V_m] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__minus__eq,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Oring__div(T_a)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__minus__cong,axiom,
% 163.15/163.07 ! [V_a_H,V_b,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Oring__div(T_a)
% 163.15/163.07 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_H),V_b) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__less__eq__dividend,axiom,
% 163.15/163.07 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_m)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I31_J,axiom,
% 163.15/163.07 ! [V_l_2,V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_less__eq__int__code_I13_J,axiom,
% 163.15/163.07 ! [V_k2_2,V_k1_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_less__int__code_I13_J,axiom,
% 163.15/163.07 ! [V_k2_2,V_k1_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I14_J,axiom,
% 163.15/163.07 ! [V_l_2,V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zminus__0,axiom,
% 163.15/163.07 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Bit0__Pls,axiom,
% 163.15/163.07 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I38_J,axiom,
% 163.15/163.07 ! [V_l_2] :
% 163.15/163.07 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 163.15/163.07 <=> c_Int_OPls = V_l_2 ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I44_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 163.15/163.07 <=> V_k_2 = c_Int_OPls ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I49_J,axiom,
% 163.15/163.07 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I50_J,axiom,
% 163.15/163.07 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__mult__distrib2,axiom,
% 163.15/163.07 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__mult__distrib,axiom,
% 163.15/163.07 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_k) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Bit0__def,axiom,
% 163.15/163.07 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_add__Bit0__Bit0,axiom,
% 163.15/163.07 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I24_J,axiom,
% 163.15/163.07 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I7_J,axiom,
% 163.15/163.07 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__divide__left,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Rings_Odivision__ring(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__divide__right,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__divide__divide,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mult__Bit0,axiom,
% 163.15/163.07 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit0(V_k)),V_l) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_abs__minus__cancel,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.07 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I40_J,axiom,
% 163.15/163.07 c_Int_OMin != c_Int_OPls ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I37_J,axiom,
% 163.15/163.07 c_Int_OPls != c_Int_OMin ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Bit1__Min,axiom,
% 163.15/163.07 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I43_J,axiom,
% 163.15/163.07 ! [V_l_2] :
% 163.15/163.07 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 163.15/163.07 <=> c_Int_OMin = V_l_2 ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I47_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 163.15/163.07 <=> V_k_2 = c_Int_OMin ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__Pls,axiom,
% 163.15/163.07 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zminus__zadd__distrib,axiom,
% 163.15/163.07 ! [V_w,V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__numeral__code_I5_J,axiom,
% 163.15/163.07 ! [V_w] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__bin__simps_I7_J,axiom,
% 163.15/163.07 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmult__zminus,axiom,
% 163.15/163.07 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_w) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__zminus2,axiom,
% 163.15/163.07 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__zminus__zminus,axiom,
% 163.15/163.07 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zminus__zmod,axiom,
% 163.15/163.07 ! [V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_x),V_m) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus1__divide,axiom,
% 163.15/163.07 ! [V_x,T_a] :
% 163.15/163.07 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 163.15/163.07 & class_Int_Onumber__ring(T_a) )
% 163.15/163.07 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_x)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod2__Suc__Suc,axiom,
% 163.15/163.07 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__0__le__iff__le,axiom,
% 163.15/163.07 ! [V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_le__minus__self__iff,axiom,
% 163.15/163.07 ! [V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__le__0__iff__le,axiom,
% 163.15/163.07 ! [V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__le__self__iff,axiom,
% 163.15/163.07 ! [V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_less__minus__self__iff,axiom,
% 163.15/163.07 ! [V_a_2,T_b] :
% 163.15/163.07 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__0__less__iff__less,axiom,
% 163.15/163.07 ! [V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__less__0__iff__less,axiom,
% 163.15/163.07 ! [V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__less__nonneg,axiom,
% 163.15/163.07 ! [V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_right__minus,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 163.15/163.07 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_b)
% 163.15/163.07 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 163.15/163.07 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_left__minus,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_ab__left__minus,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Groups_Oab__group__add(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__unique,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.07 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__0,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 163.15/163.07 ! [V_y,V_x,T_a] :
% 163.15/163.07 ( class_Rings_Ocomm__ring__1(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__def,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_ab__diff__minus,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Groups_Oab__group__add(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__minus__eq__add,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Groups_Ogroup__add(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 163.15/163.07 ! [V_x,T_a] :
% 163.15/163.07 ( class_Rings_Ocomm__ring__1(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_x) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_square__eq__1__iff,axiom,
% 163.15/163.07 ! [V_x_2,T_b] :
% 163.15/163.07 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 163.15/163.07 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 163.15/163.07 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 163.15/163.07 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_compl__inf__bot,axiom,
% 163.15/163.07 ! [V_x,T_a] :
% 163.15/163.07 ( class_Lattices_Oboolean__algebra(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_inf__compl__bot,axiom,
% 163.15/163.07 ! [V_x,T_a] :
% 163.15/163.07 ( class_Lattices_Oboolean__algebra(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__eq,axiom,
% 163.15/163.07 ! [V_y,V_x,T_a] :
% 163.15/163.07 ( class_Lattices_Oboolean__algebra(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__Suc,axiom,
% 163.15/163.07 ! [V_n,V_m] :
% 163.15/163.07 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.07 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__1,axiom,
% 163.15/163.07 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__less__divisor,axiom,
% 163.15/163.07 ! [V_m,V_n] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_compl__inf,axiom,
% 163.15/163.07 ! [V_y,V_x,T_a] :
% 163.15/163.07 ( class_Lattices_Oboolean__algebra(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_compl__sup,axiom,
% 163.15/163.07 ! [V_y,V_x,T_a] :
% 163.15/163.07 ( class_Lattices_Oboolean__algebra(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nonzero__minus__divide__right,axiom,
% 163.15/163.07 ! [V_a,V_b,T_a] :
% 163.15/163.07 ( class_Rings_Odivision__ring(T_a)
% 163.15/163.07 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.07 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nonzero__minus__divide__divide,axiom,
% 163.15/163.07 ! [V_a,V_b,T_a] :
% 163.15/163.07 ( class_Rings_Odivision__ring(T_a)
% 163.15/163.07 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_abs__le__D2,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_abs__leI,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_abs__le__iff,axiom,
% 163.15/163.07 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 163.15/163.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 163.15/163.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_abs__ge__minus__self,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_abs__less__iff,axiom,
% 163.15/163.07 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.07 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 163.15/163.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 163.15/163.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__eq__0__iff,axiom,
% 163.15/163.07 ! [V_d_2,V_m_2] :
% 163.15/163.07 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.07 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_bin__less__0__simps_I3_J,axiom,
% 163.15/163.07 ! [V_w_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__if,axiom,
% 163.15/163.07 ! [V_n,V_m] :
% 163.15/163.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 163.15/163.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__geq,axiom,
% 163.15/163.07 ! [V_n,V_m] :
% 163.15/163.07 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__mult__self3,axiom,
% 163.15/163.07 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I27_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I21_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_less__eq__int__code_I14_J,axiom,
% 163.15/163.07 ! [V_k2_2,V_k1_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I32_J,axiom,
% 163.15/163.07 ! [V_l_2,V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_le__mod__geq,axiom,
% 163.15/163.07 ! [V_m,V_n] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I4_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I10_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I16_J,axiom,
% 163.15/163.07 ! [V_l_2,V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_less__int__code_I15_J,axiom,
% 163.15/163.07 ! [V_k2_2,V_k1_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_add__Bit1__Bit0,axiom,
% 163.15/163.07 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_add__Bit0__Bit1,axiom,
% 163.15/163.07 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_bin__less__0__simps_I2_J,axiom,
% 163.15/163.07 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zadd__zminus__inverse2,axiom,
% 163.15/163.07 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_z) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_negative__eq__positive,axiom,
% 163.15/163.07 ! [V_m_2,V_n_2] :
% 163.15/163.07 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)
% 163.15/163.07 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.07 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I20_J,axiom,
% 163.15/163.07 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I23_J,axiom,
% 163.15/163.07 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I30_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I26_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I6_J,axiom,
% 163.15/163.07 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I3_J,axiom,
% 163.15/163.07 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I9_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I13_J,axiom,
% 163.15/163.07 ! [V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__bin__simps_I3_J,axiom,
% 163.15/163.07 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),V_l)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__bin__simps_I9_J,axiom,
% 163.15/163.07 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__bin__simps_I10_J,axiom,
% 163.15/163.07 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__int,axiom,
% 163.15/163.07 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 163.15/163.07 ! [V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_eq__number__of__Pls__Min,axiom,
% 163.15/163.07 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_not__int__zless__negative,axiom,
% 163.15/163.07 ! [V_m,V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__zminus2__not__zero,axiom,
% 163.15/163.07 ! [V_l,V_k] :
% 163.15/163.07 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__zminus1__not__zero,axiom,
% 163.15/163.07 ! [V_l,V_k] :
% 163.15/163.07 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k),V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__int__def,axiom,
% 163.15/163.07 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__int__def__symmetric,axiom,
% 163.15/163.07 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Ints__minus,axiom,
% 163.15/163.07 ! [V_a_2,T_b] :
% 163.15/163.07 ( class_Rings_Oring__1(T_b)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__number__of__Bit0,axiom,
% 163.15/163.07 ! [V_w_2] :
% 163.15/163.07 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 163.15/163.07 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_pred__Bit0,axiom,
% 163.15/163.07 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_pred__Bit1,axiom,
% 163.15/163.07 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__number__of__Min,axiom,
% 163.15/163.07 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_pred__Pls,axiom,
% 163.15/163.07 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__Bit1,axiom,
% 163.15/163.07 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(V_k)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_add__Min__right,axiom,
% 163.15/163.07 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_add__Min,axiom,
% 163.15/163.07 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_succ__Bit1,axiom,
% 163.15/163.07 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_succ__Bit0,axiom,
% 163.15/163.07 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_succ__Min,axiom,
% 163.15/163.07 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__bin__simps_I2_J,axiom,
% 163.15/163.07 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod2__gr__0,axiom,
% 163.15/163.07 ! [V_m_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 163.15/163.07 <=> c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_number__of__Bit0,axiom,
% 163.15/163.07 ! [V_w,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_abs__of__nonpos,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.07 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_abs__minus__le__zero,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_abs__if,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Groups_Oabs__if(T_a)
% 163.15/163.07 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.07 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 163.15/163.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.07 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_abs__of__neg,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.07 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__le__divisor,axiom,
% 163.15/163.07 ! [V_m,V_n] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__mult__self4,axiom,
% 163.15/163.07 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m)),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_less__eq__int__code_I15_J,axiom,
% 163.15/163.07 ! [V_k2_2,V_k1_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I33_J,axiom,
% 163.15/163.07 ! [V_l_2,V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_less__int__code_I14_J,axiom,
% 163.15/163.07 ! [V_k2_2,V_k1_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_rel__simps_I15_J,axiom,
% 163.15/163.07 ! [V_l_2,V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__number__of__eq,axiom,
% 163.15/163.07 ! [V_w,V_v,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mult__Bit1,axiom,
% 163.15/163.07 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit1(V_k)),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l))),V_l) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_abs__minus__one,axiom,
% 163.15/163.07 ! [T_a] :
% 163.15/163.07 ( ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 & class_Rings_Olinordered__idom(T_a) )
% 163.15/163.07 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_int__zle__neg,axiom,
% 163.15/163.07 ! [V_m_2,V_n_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))))
% 163.15/163.07 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.07 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_negative__zle__0,axiom,
% 163.15/163.07 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__minus1__right,axiom,
% 163.15/163.07 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__bin__simps_I4_J,axiom,
% 163.15/163.07 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 163.15/163.07 ! [V_n,V_m] :
% 163.15/163.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.15/163.07 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.15/163.07 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmult__eq__1__iff,axiom,
% 163.15/163.07 ! [V_n_2,V_m_2] :
% 163.15/163.07 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.15/163.07 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.15/163.07 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 163.15/163.07 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 163.15/163.07 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_minus__numeral__code_I6_J,axiom,
% 163.15/163.07 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__zminus1__eq__if,axiom,
% 163.15/163.07 ! [V_b,V_a] :
% 163.15/163.07 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.15/163.07 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__zminus2__eq__if,axiom,
% 163.15/163.07 ! [V_b,V_a] :
% 163.15/163.07 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.15/163.07 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zabs__def,axiom,
% 163.15/163.07 ! [V_i] :
% 163.15/163.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 163.15/163.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__zminus__int,axiom,
% 163.15/163.07 ! [V_n] : hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__bin__simps_I8_J,axiom,
% 163.15/163.07 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Opred(V_k)),V_l)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_add__Bit1__Bit1,axiom,
% 163.15/163.07 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_Osucc(V_l))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zero__code__numeral__code,axiom,
% 163.15/163.07 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OPls) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_double__number__of__Bit0,axiom,
% 163.15/163.07 ! [V_w,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_abs__number__of,axiom,
% 163.15/163.07 ! [V_x,T_a] :
% 163.15/163.07 ( ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 & class_Rings_Olinordered__idom(T_a) )
% 163.15/163.07 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.07 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) )
% 163.15/163.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.07 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_split__mod,axiom,
% 163.15/163.07 ! [V_k_2,V_n_2,V_Pa_2] :
% 163.15/163.07 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 163.15/163.07 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.07 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 163.15/163.07 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.07 => ! [B_i,B_j] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 163.15/163.07 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)
% 163.15/163.07 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__lemma,axiom,
% 163.15/163.07 ! [V_q,V_b,V_r,V_c] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_add__number__of__diff2,axiom,
% 163.15/163.07 ! [V_w,V_c,V_v,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)))),V_c) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_number__of1,axiom,
% 163.15/163.07 ! [V_n] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_n))))
% 163.15/163.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_n)))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Suc__times__mod__eq,axiom,
% 163.15/163.07 ! [V_m,V_k] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),V_k) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_number__of__pred,axiom,
% 163.15/163.07 ! [V_w,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Opred(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_not__zle__0__negative,axiom,
% 163.15/163.07 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_negative__zless__0,axiom,
% 163.15/163.07 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mult__2__right,axiom,
% 163.15/163.07 ! [V_z,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mult__2,axiom,
% 163.15/163.07 ! [V_z,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_one__add__one__is__two,axiom,
% 163.15/163.07 ! [T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 163.15/163.07 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 163.15/163.07 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),V_n) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 163.15/163.07 ! [V_v,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_numeral__2__eq__2,axiom,
% 163.15/163.07 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_semiring__norm_I115_J,axiom,
% 163.15/163.07 hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 163.15/163.07 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_add__2__eq__Suc,axiom,
% 163.15/163.07 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_add__2__eq__Suc_H,axiom,
% 163.15/163.07 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__mult__2__right,axiom,
% 163.15/163.07 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_z),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__mult__2,axiom,
% 163.15/163.07 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 163.15/163.07 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__1__add__1,axiom,
% 163.15/163.07 hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__number__of__Bit0,axiom,
% 163.15/163.07 ! [V_w,V_v] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_half__gt__zero,axiom,
% 163.15/163.07 ! [V_r,T_a] :
% 163.15/163.07 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.15/163.07 & class_Int_Onumber__ring(T_a) )
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_r),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_half__gt__zero__iff,axiom,
% 163.15/163.07 ! [V_r_2,T_b] :
% 163.15/163.07 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.15/163.07 & class_Int_Onumber__ring(T_b) )
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_less__2__cases,axiom,
% 163.15/163.07 ! [V_n] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 163.15/163.07 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.07 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_diff__special_I1_J,axiom,
% 163.15/163.07 ! [V_w,T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_eq__special_I4_J,axiom,
% 163.15/163.07 ! [V_x_2,T_b] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_b)
% 163.15/163.07 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 163.15/163.07 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_eq__special_I2_J,axiom,
% 163.15/163.07 ! [V_y_2,T_b] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_b)
% 163.15/163.07 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 163.15/163.07 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_z3mod__def,axiom,
% 163.15/163.07 ! [V_k,V_l] :
% 163.15/163.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.15/163.07 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 163.15/163.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.15/163.07 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__zdiv__mult__2,axiom,
% 163.15/163.07 ! [V_b,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_pos__zdiv__mult__2,axiom,
% 163.15/163.07 ! [V_b,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_of__nat__double,axiom,
% 163.15/163.07 ! [V_x,T_a] :
% 163.15/163.07 ( class_Rings_Osemiring__1(T_a)
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.07 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_ComplI,axiom,
% 163.15/163.07 ! [V_A_2,V_ca_2,T_b] :
% 163.15/163.07 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.15/163.07 => 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))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_ComplE,axiom,
% 163.15/163.07 ! [V_A_2,V_ca_2,T_b] :
% 163.15/163.07 ( 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)))
% 163.15/163.07 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_ComplD,axiom,
% 163.15/163.07 ! [V_A_2,V_ca_2,T_b] :
% 163.15/163.07 ( 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)))
% 163.15/163.07 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Compl__iff,axiom,
% 163.15/163.07 ! [V_A_2,V_ca_2,T_b] :
% 163.15/163.07 ( 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)))
% 163.15/163.07 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__zero,axiom,
% 163.15/163.07 ! [V_b] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Compl__anti__mono,axiom,
% 163.15/163.07 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Compl__subset__Compl__iff,axiom,
% 163.15/163.07 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__int,axiom,
% 163.15/163.07 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__zminus__zminus,axiom,
% 163.15/163.07 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__zminus2,axiom,
% 163.15/163.07 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__0,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__by__0,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_vimage__Compl,axiom,
% 163.15/163.07 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__by__1,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_iszero__0,axiom,
% 163.15/163.07 ! [T_a] :
% 163.15/163.07 ( class_Rings_Osemiring__1(T_a)
% 163.15/163.07 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_iszero__def,axiom,
% 163.15/163.07 ! [V_z_2,T_b] :
% 163.15/163.07 ( class_Rings_Osemiring__1(T_b)
% 163.15/163.07 => ( c_Int_Oiszero(T_b,V_z_2)
% 163.15/163.07 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__0,axiom,
% 163.15/163.07 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 163.15/163.07 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 163.15/163.07 ! [V_y,V_x] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_not__iszero__1,axiom,
% 163.15/163.07 ! [T_a] :
% 163.15/163.07 ( class_Rings_Osemiring__1(T_a)
% 163.15/163.07 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 163.15/163.07 ! [V_a_2,V_b_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 163.15/163.07 ! [V_a_2,V_b_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__neg__pos__less0,axiom,
% 163.15/163.07 ! [V_b,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_eq__nat__nat__iff,axiom,
% 163.15/163.07 ! [V_z_H_2,V_z_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 163.15/163.07 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 163.15/163.07 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 163.15/163.07 ! [V_y_2,V_x_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 163.15/163.07 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 163.15/163.07 <=> V_x_2 = V_y_2 ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_all__nat,axiom,
% 163.15/163.07 ! [V_Pa_2] :
% 163.15/163.07 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 163.15/163.07 <=> ! [B_x] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.15/163.07 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_ex__nat,axiom,
% 163.15/163.07 ! [V_Pa_2] :
% 163.15/163.07 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 163.15/163.07 <=> ? [B_x] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.15/163.07 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__self,axiom,
% 163.15/163.07 ! [V_a] :
% 163.15/163.07 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_subset__Compl__self__eq,axiom,
% 163.15/163.07 ! [V_A_2,T_b] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 163.15/163.07 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Compl__disjoint,axiom,
% 163.15/163.07 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Compl__disjoint2,axiom,
% 163.15/163.07 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__number__of__Bit0,axiom,
% 163.15/163.07 ! [V_w,V_v] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__zdiv__trivial,axiom,
% 163.15/163.07 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_DIVISION__BY__ZERO,axiom,
% 163.15/163.07 ! [V_a] :
% 163.15/163.07 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.07 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__number__of__def,axiom,
% 163.15/163.07 ! [V_v] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__number__of,axiom,
% 163.15/163.07 ! [V_w] : hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Compl__Un,axiom,
% 163.15/163.07 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Compl__Int,axiom,
% 163.15/163.07 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__zadd1__eq,axiom,
% 163.15/163.07 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Compl__Diff__eq,axiom,
% 163.15/163.07 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Diff__Compl,axiom,
% 163.15/163.07 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Diff__eq,axiom,
% 163.15/163.07 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 163.15/163.07 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__nat,axiom,
% 163.15/163.07 ! [V_z] :
% 163.15/163.07 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 163.15/163.07 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_not__neg__nat,axiom,
% 163.15/163.07 ! [V_z] :
% 163.15/163.07 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 163.15/163.07 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__mult__mult1__if,axiom,
% 163.15/163.07 ! [V_b,V_a,V_c,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = c_Groups_Ozero__class_Ozero(T_a) )
% 163.15/163.07 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__mult__self2__is__id,axiom,
% 163.15/163.07 ! [V_a,V_b,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_b) = V_a ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__mult__self1__is__id,axiom,
% 163.15/163.07 ! [V_a,V_b,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),V_b) = V_a ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__mult__mult2,axiom,
% 163.15/163.07 ! [V_b,V_a,V_c,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__mult__mult1,axiom,
% 163.15/163.07 ! [V_b,V_a,V_c,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__self,axiom,
% 163.15/163.07 ! [V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__div__trivial,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__le__0,axiom,
% 163.15/163.07 ! [V_z] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__0__iff,axiom,
% 163.15/163.07 ! [V_i_2] :
% 163.15/163.07 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__mono1__neg,axiom,
% 163.15/163.07 ! [V_b,V_a_H,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__mono1,axiom,
% 163.15/163.07 ! [V_b,V_a_H,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__neg__neg__trivial,axiom,
% 163.15/163.07 ! [V_b,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__mono2__neg,axiom,
% 163.15/163.07 ! [V_b,V_b_H,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__nonpos__pos__le0,axiom,
% 163.15/163.07 ! [V_b,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 163.15/163.07 ! [V_a_2,V_b_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__pos__pos__trivial,axiom,
% 163.15/163.07 ! [V_b,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__nonneg__neg__le0,axiom,
% 163.15/163.07 ! [V_b,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__mono2,axiom,
% 163.15/163.07 ! [V_b,V_b_H,V_a] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H))) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 163.15/163.07 ! [V_b_2,V_a_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 163.15/163.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 163.15/163.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 163.15/163.07 ! [V_i_2,V_k_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 163.15/163.07 ! [V_a_2,V_b_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__eq__0__iff,axiom,
% 163.15/163.07 ! [V_k_2,V_i_2] :
% 163.15/163.07 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.07 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.07 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 163.15/163.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 163.15/163.07 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zless__nat__conj,axiom,
% 163.15/163.07 ! [V_z_2,V_w_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 163.15/163.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 163.15/163.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__mono__iff,axiom,
% 163.15/163.07 ! [V_w_2,V_z_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 163.15/163.07 ! [V_y_2,V_x_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__1,axiom,
% 163.15/163.07 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_int__div__less__self,axiom,
% 163.15/163.07 ! [V_k,V_x] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 163.15/163.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_k)),V_x)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__zmult2__eq,axiom,
% 163.15/163.07 ! [V_b,V_a,V_c] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_c) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__0__le,axiom,
% 163.15/163.07 ! [V_z] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.15/163.07 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_int__eq__iff,axiom,
% 163.15/163.07 ! [V_z_2,V_m_2] :
% 163.15/163.07 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 163.15/163.07 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 163.15/163.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_int__nat__eq,axiom,
% 163.15/163.07 ! [V_z] :
% 163.15/163.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.15/163.07 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 163.15/163.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.15/163.07 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zless__nat__eq__int__zless,axiom,
% 163.15/163.07 ! [V_z_2,V_m_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_disjoint__eq__subset__Compl,axiom,
% 163.15/163.07 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.07 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__mod__distrib,axiom,
% 163.15/163.07 ! [V_y,V_x] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.15/163.07 => hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 163.15/163.07 ! [V_y,V_x] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.15/163.07 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__zminus__int,axiom,
% 163.15/163.07 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__zmod__equality2,axiom,
% 163.15/163.07 ! [V_k,V_b,V_a] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__zmod__equality,axiom,
% 163.15/163.07 ! [V_k,V_a,V_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__zmult1__eq,axiom,
% 163.15/163.07 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__zdiv__equality,axiom,
% 163.15/163.07 ! [V_b,V_a] : V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zdiv__minus1__right,axiom,
% 163.15/163.07 ! [V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmod__zdiv__equality_H,axiom,
% 163.15/163.07 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)),V_n)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zmult__div__cancel,axiom,
% 163.15/163.07 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n)) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__abs__mult__distrib,axiom,
% 163.15/163.07 ! [V_z,V_w] : hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_w))),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z))) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__mult__self1,axiom,
% 163.15/163.07 ! [V_c,V_a,V_b,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__mult__self2,axiom,
% 163.15/163.07 ! [V_c,V_a,V_b,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__add__self2,axiom,
% 163.15/163.07 ! [V_a,V_b,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__add__self1,axiom,
% 163.15/163.07 ! [V_a,V_b,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__mod__equality,axiom,
% 163.15/163.07 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_div__mod__equality2,axiom,
% 163.15/163.07 ! [V_c,V_a,V_b,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__div__equality,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_mod__div__equality2,axiom,
% 163.15/163.07 ! [V_a,V_b,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 163.15/163.07 ! [V_b,V_a,T_a] :
% 163.15/163.07 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)) = V_a ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_iszero__Numeral0,axiom,
% 163.15/163.07 ! [T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_iszero__number__of__Bit1,axiom,
% 163.15/163.07 ! [V_w,T_a] :
% 163.15/163.07 ( ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 & class_Int_Oring__char__0(T_a) )
% 163.15/163.07 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_iszero__number__of__Bit0,axiom,
% 163.15/163.07 ! [V_w_2,T_b] :
% 163.15/163.07 ( ( class_Int_Onumber__ring(T_b)
% 163.15/163.07 & class_Int_Oring__char__0(T_b) )
% 163.15/163.07 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 163.15/163.07 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nonzero__number__of__Min,axiom,
% 163.15/163.07 ! [T_a] :
% 163.15/163.07 ( class_Int_Onumber__ring(T_a)
% 163.15/163.07 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_zero__less__nat__eq,axiom,
% 163.15/163.07 ! [V_z_2] :
% 163.15/163.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2)))
% 163.15/163.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 163.15/163.07
% 163.15/163.07 fof(fact_nat__less__eq__zless,axiom,
% 163.15/163.08 ! [V_z_2,V_w_2] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 163.15/163.08 ! [V_y_2,V_x_2] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__eq__iff2,axiom,
% 163.15/163.08 ! [V_w_2,V_m_2] :
% 163.15/163.08 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 163.15/163.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.15/163.08 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.15/163.08 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__eq__iff,axiom,
% 163.15/163.08 ! [V_m_2,V_w_2] :
% 163.15/163.08 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 163.15/163.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.15/163.08 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.15/163.08 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__le__eq__zle,axiom,
% 163.15/163.08 ! [V_z_2,V_w_2] :
% 163.15/163.08 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.15/163.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_split__nat,axiom,
% 163.15/163.08 ! [V_i_2,V_Pa_2] :
% 163.15/163.08 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 163.15/163.08 <=> ( ! [B_n] :
% 163.15/163.08 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 163.15/163.08 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 163.15/163.08 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.08 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__add__distrib,axiom,
% 163.15/163.08 ! [V_z_H,V_z] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 163.15/163.08 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 163.15/163.08 ! [V_y,V_x] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.15/163.08 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_int__eq__iff__number__of,axiom,
% 163.15/163.08 ! [V_v_2,V_m_2] :
% 163.15/163.08 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)
% 163.15/163.08 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 163.15/163.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__mult__distrib,axiom,
% 163.15/163.08 ! [V_z_H,V_z] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.15/163.08 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 163.15/163.08 ! [V_y,V_x] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.15/163.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__eq__minus1,axiom,
% 163.15/163.08 ! [V_b] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__diff__distrib,axiom,
% 163.15/163.08 ! [V_z,V_z_H] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 163.15/163.08 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 163.15/163.08 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 163.15/163.08 ! [V_y,V_x] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.15/163.08 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_one__less__nat__eq,axiom,
% 163.15/163.08 ! [V_z_2] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onat,V_z_2)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_split__zdiv,axiom,
% 163.15/163.08 ! [V_k_2,V_n_2,V_Pa_2] :
% 163.15/163.08 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 163.15/163.08 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.08 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.15/163.08 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.15/163.08 => ! [B_i] :
% 163.15/163.08 ( ? [B_j] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 163.15/163.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 163.15/163.08 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 163.15/163.08 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 163.15/163.08 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.08 => ! [B_i] :
% 163.15/163.08 ( ? [B_j] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 163.15/163.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.08 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 163.15/163.08 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_divmod__int__rel__div__eq,axiom,
% 163.15/163.08 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 163.15/163.08 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y)),V_r_1)
% 163.15/163.08 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 163.15/163.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 163.15/163.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 163.15/163.08 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__less__iff,axiom,
% 163.15/163.08 ! [V_m_2,V_w_2] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 163.15/163.08 ! [V_z] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.15/163.08 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zmod__zmult2__eq,axiom,
% 163.15/163.08 ! [V_b,V_a,V_c] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.15/163.08 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 163.15/163.08 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__mult__distrib__neg,axiom,
% 163.15/163.08 ! [V_z_H,V_z] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.08 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z))),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_H))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zdiv__zminus2__eq__if,axiom,
% 163.15/163.08 ! [V_a,V_b] :
% 163.15/163.08 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.08 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) )
% 163.15/163.08 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zdiv__zminus1__eq__if,axiom,
% 163.15/163.08 ! [V_a,V_b] :
% 163.15/163.08 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.08 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) )
% 163.15/163.08 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_mod__nat__number__of,axiom,
% 163.15/163.08 ! [V_v_H,V_v] :
% 163.15/163.08 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.08 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.08 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.15/163.08 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.15/163.08 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_not__iszero__Numeral1,axiom,
% 163.15/163.08 ! [T_a] :
% 163.15/163.08 ( class_Int_Onumber__ring(T_a)
% 163.15/163.08 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_eq__number__of__eq,axiom,
% 163.15/163.08 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.08 ( class_Int_Onumber__ring(T_b)
% 163.15/163.08 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 163.15/163.08 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__2,axiom,
% 163.15/163.08 hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__pos__neg__trivial,axiom,
% 163.15/163.08 ! [V_b,V_a] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_split__pos__lemma,axiom,
% 163.15/163.08 ! [V_n_2,V_Pa_2,V_k_2] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.15/163.08 => ( 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)))
% 163.15/163.08 <=> ! [B_i,B_j] :
% 163.15/163.08 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 163.15/163.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 163.15/163.08 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 163.15/163.08 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_split__neg__lemma,axiom,
% 163.15/163.08 ! [V_n_2,V_Pa_2,V_k_2] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.08 => ( 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)))
% 163.15/163.08 <=> ! [B_i,B_j] :
% 163.15/163.08 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 163.15/163.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.08 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 163.15/163.08 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zdiv__number__of__Bit1,axiom,
% 163.15/163.08 ! [V_v,V_w] :
% 163.15/163.08 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_one__mod__nat__number__of,axiom,
% 163.15/163.08 ! [V_v_H] :
% 163.15/163.08 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.15/163.08 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.15/163.08 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_eq__special_I3_J,axiom,
% 163.15/163.08 ! [V_x_2,T_b] :
% 163.15/163.08 ( class_Int_Onumber__ring(T_b)
% 163.15/163.08 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.08 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls)))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_eq__special_I1_J,axiom,
% 163.15/163.08 ! [V_y_2,T_b] :
% 163.15/163.08 ( class_Int_Onumber__ring(T_b)
% 163.15/163.08 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 163.15/163.08 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_z3div__def,axiom,
% 163.15/163.08 ! [V_k,V_l] :
% 163.15/163.08 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.15/163.08 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.15/163.08 => c_SMT_Oz3div(V_k,V_l) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__aux__def,axiom,
% 163.15/163.08 ! [V_n,V_i] : c_Int_Onat__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_i)),V_n) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__of__aux__code,axiom,
% 163.15/163.08 ! [V_n,V_i] :
% 163.15/163.08 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.15/163.08 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 163.15/163.08 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.15/163.08 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),hAPP(c_Nat_OSuc,V_n)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_transfer__morphism__nat__int,axiom,
% 163.15/163.08 c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__m1__odd,axiom,
% 163.15/163.08 ! [V_n,T_a] :
% 163.15/163.08 ( class_Int_Onumber__ring(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_double__complement,axiom,
% 163.15/163.08 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = V_A_2 ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Compl__eq__Compl__iff,axiom,
% 163.15/163.08 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.08 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)
% 163.15/163.08 <=> V_A_2 = V_B_2 ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 163.15/163.08 ! [V_q,V_y,V_x,T_a] :
% 163.15/163.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__le__mono,axiom,
% 163.15/163.08 ! [V_k,V_n,V_m] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),V_k))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__le__dividend,axiom,
% 163.15/163.08 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_int__power,axiom,
% 163.15/163.08 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zpower__int,axiom,
% 163.15/163.08 ! [V_n,V_m] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 163.15/163.08 ! [V_n,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x),V_n)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__mult2__eq,axiom,
% 163.15/163.08 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)),V_c) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 163.15/163.08 ! [V_q,V_p,V_x,T_a] :
% 163.15/163.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zpower__zpower,axiom,
% 163.15/163.08 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 163.15/163.08 ! [V_x,T_a] :
% 163.15/163.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zpower__zmod,axiom,
% 163.15/163.08 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y),V_m) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__power__eq,axiom,
% 163.15/163.08 ! [V_n,V_z] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.15/163.08 => hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),V_n) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 163.15/163.08 ! [V_n,V_x] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__1,axiom,
% 163.15/163.08 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = V_m ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__less,axiom,
% 163.15/163.08 ! [V_n,V_m] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__mult__div__cancel__disj,axiom,
% 163.15/163.08 ! [V_n,V_m,V_k] :
% 163.15/163.08 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.08 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 163.15/163.08 ! [V_q,V_x,T_a] :
% 163.15/163.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 163.15/163.08 ! [V_q,V_x,T_a] :
% 163.15/163.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 163.15/163.08 ! [V_q,V_x,T_a] :
% 163.15/163.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 163.15/163.08 ! [V_x,T_a] :
% 163.15/163.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 163.15/163.08 ! [V_q,V_p,V_x,T_a] :
% 163.15/163.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_p),V_q)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 163.15/163.08 ! [V_n,V_x] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__add1__eq,axiom,
% 163.15/163.08 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zdiv__int,axiom,
% 163.15/163.08 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 163.15/163.08 ! [V_y,V_x] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_x),V_y)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zpower__zadd__distrib,axiom,
% 163.15/163.08 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Ints__power,axiom,
% 163.15/163.08 ! [V_n_2,V_a_2,T_b] :
% 163.15/163.08 ( class_Rings_Oring__1(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__nat__number__of__number__of,axiom,
% 163.15/163.08 ! [V_w,V_v] :
% 163.15/163.08 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__nat__number__of,axiom,
% 163.15/163.08 ! [V_n,V_v] :
% 163.15/163.08 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),V_n)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__le__mono2,axiom,
% 163.15/163.08 ! [V_k,V_n,V_m] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_n)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_m))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__mult__div__cancel1,axiom,
% 163.15/163.08 ! [V_n,V_m,V_k] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__mult__self1__is__m,axiom,
% 163.15/163.08 ! [V_m,V_n] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__mult__self__is__m,axiom,
% 163.15/163.08 ! [V_m,V_n] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__less__dividend,axiom,
% 163.15/163.08 ! [V_m,V_n] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_mod__mult2__eq,axiom,
% 163.15/163.08 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__mult1__eq,axiom,
% 163.15/163.08 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__mod__equality_H,axiom,
% 163.15/163.08 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_mult__div__cancel,axiom,
% 163.15/163.08 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Divides_Omod__div__equality_H,axiom,
% 163.15/163.08 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zero__le__zpower__abs,axiom,
% 163.15/163.08 ! [V_n,V_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),V_n))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__if,axiom,
% 163.15/163.08 ! [V_m,V_n] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.08 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__geq,axiom,
% 163.15/163.08 ! [V_m,V_n] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_split__div,axiom,
% 163.15/163.08 ! [V_k_2,V_n_2,V_Pa_2] :
% 163.15/163.08 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 163.15/163.08 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.08 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 163.15/163.08 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.08 => ! [B_i,B_j] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 163.15/163.08 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)
% 163.15/163.08 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 163.15/163.08 ! [V_y,V_x] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__div__distrib,axiom,
% 163.15/163.08 ! [V_y,V_x] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.15/163.08 => hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power3__eq__cube,axiom,
% 163.15/163.08 ! [V_a,T_a] :
% 163.15/163.08 ( class_Groups_Omonoid__mult(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),V_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_abs__power__minus__one,axiom,
% 163.15/163.08 ! [V_n,T_a] :
% 163.15/163.08 ( ( class_Int_Onumber__ring(T_a)
% 163.15/163.08 & class_Rings_Olinordered__idom(T_a) )
% 163.15/163.08 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__eq__if,axiom,
% 163.15/163.08 ! [V_p,V_m] :
% 163.15/163.08 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 163.15/163.08 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zero__less__zpower__abs__iff,axiom,
% 163.15/163.08 ! [V_n_2,V_x_2] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2)),V_n_2)))
% 163.15/163.08 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.08 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_le__div__geq,axiom,
% 163.15/163.08 ! [V_m,V_n] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_split__div__lemma,axiom,
% 163.15/163.08 ! [V_m_2,V_q_2,V_n_2] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 163.15/163.08 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_q_2)),V_m_2))
% 163.15/163.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_q_2)))) )
% 163.15/163.08 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_split__div_H,axiom,
% 163.15/163.08 ! [V_n_2,V_m_2,V_Pa_2] :
% 163.15/163.08 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 163.15/163.08 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.08 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 163.15/163.08 | ? [B_q] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),B_q)),V_m_2))
% 163.15/163.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,B_q))))
% 163.15/163.08 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__Suc__eq__div__add3,axiom,
% 163.15/163.08 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Suc__div__eq__add3__div,axiom,
% 163.15/163.08 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),V_n) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 163.15/163.08 ! [V_v,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div2__Suc__Suc,axiom,
% 163.15/163.08 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_add__self__div__2,axiom,
% 163.15/163.08 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = V_m ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zero__power2,axiom,
% 163.15/163.08 ! [T_a] :
% 163.15/163.08 ( class_Rings_Osemiring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zero__eq__power2,axiom,
% 163.15/163.08 ! [V_a_2,T_b] :
% 163.15/163.08 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 163.15/163.08 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.08 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 163.15/163.08 ! [V_x,T_a] :
% 163.15/163.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power2__eq__square,axiom,
% 163.15/163.08 ! [V_a,T_a] :
% 163.15/163.08 ( class_Groups_Omonoid__mult(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_one__power2,axiom,
% 163.15/163.08 ! [T_a] :
% 163.15/163.08 ( class_Rings_Osemiring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power2__minus,axiom,
% 163.15/163.08 ! [V_a,T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__even__eq,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Groups_Omonoid__mult(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_abs__power2,axiom,
% 163.15/163.08 ! [V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power2__abs,axiom,
% 163.15/163.08 ! [V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power2__eq__imp__eq,axiom,
% 163.15/163.08 ! [V_y,V_x,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.15/163.08 => V_x = V_y ) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power2__le__imp__le,axiom,
% 163.15/163.08 ! [V_y,V_x,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zero__le__power2,axiom,
% 163.15/163.08 ! [V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power2__less__0,axiom,
% 163.15/163.08 ! [V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zero__less__power2,axiom,
% 163.15/163.08 ! [V_a_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 163.15/163.08 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sum__power2__eq__zero__iff,axiom,
% 163.15/163.08 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.08 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.08 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power2__eq__square__number__of,axiom,
% 163.15/163.08 ! [V_w,T_b] :
% 163.15/163.08 ( ( class_Groups_Omonoid__mult(T_b)
% 163.15/163.08 & class_Int_Onumber(T_b) )
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power2__eq__1__iff,axiom,
% 163.15/163.08 ! [V_a_2,T_b] :
% 163.15/163.08 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 163.15/163.08 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_b)
% 163.15/163.08 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 163.15/163.08 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__nat__number__of,axiom,
% 163.15/163.08 ! [V_v_H,V_v] :
% 163.15/163.08 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 163.15/163.08 ! [V_n,V_x,T_a] :
% 163.15/163.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__minus__even,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_div__2__gt__zero,axiom,
% 163.15/163.08 ! [V_n] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power2__less__imp__less,axiom,
% 163.15/163.08 ! [V_y,V_x,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_one__div__nat__number__of,axiom,
% 163.15/163.08 ! [V_v_H] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sum__power2__le__zero__iff,axiom,
% 163.15/163.08 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.08 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.08 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sum__power2__ge__zero,axiom,
% 163.15/163.08 ! [V_y,V_x,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sum__power2__gt__zero__iff,axiom,
% 163.15/163.08 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))
% 163.15/163.08 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.08 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_not__sum__power2__lt__zero,axiom,
% 163.15/163.08 ! [V_y,V_x,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power2__sum,axiom,
% 163.15/163.08 ! [V_y,V_x,T_a] :
% 163.15/163.08 ( class_Int_Onumber__ring(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zero__le__even__power_H,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 163.15/163.08 ! [V_n,V_x,T_a] :
% 163.15/163.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__odd__eq,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Groups_Omonoid__mult(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__minus1__even,axiom,
% 163.15/163.08 ! [V_n,T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_int__power__div__base,axiom,
% 163.15/163.08 ! [V_k,V_m] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 163.15/163.08 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),V_m)),V_k) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 163.15/163.08 ! [V_n] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power2__diff,axiom,
% 163.15/163.08 ! [V_y,V_x,T_a] :
% 163.15/163.08 ( class_Int_Onumber__ring(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_odd__power__less__zero,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__minus1__odd,axiom,
% 163.15/163.08 ! [V_n,T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__m1__even,axiom,
% 163.15/163.08 ! [V_n,T_a] :
% 163.15/163.08 ( class_Int_Onumber__ring(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_int__of__code,axiom,
% 163.15/163.08 ! [V_k] :
% 163.15/163.08 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.15/163.08 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.15/163.08 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.15/163.08 => ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.15/163.08 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )
% 163.15/163.08 & ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.15/163.08 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__strict__mono,axiom,
% 163.15/163.08 ! [V_n,V_b,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) ) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__diff,axiom,
% 163.15/163.08 ! [V_m,V_n,V_a,T_a] :
% 163.15/163.08 ( class_Fields_Ofield(T_a)
% 163.15/163.08 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_one__less__power,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__increasing__iff,axiom,
% 163.15/163.08 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_field__power__not__zero,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 163.15/163.08 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__Suc__0,axiom,
% 163.15/163.08 ! [V_n] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 163.15/163.08 ! [V_m_2,V_x_2] :
% 163.15/163.08 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_m_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.15/163.08 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.08 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__zero__less__power__iff,axiom,
% 163.15/163.08 ! [V_n_2,V_x_2] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2)))
% 163.15/163.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 163.15/163.08 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__power__less__imp__less,axiom,
% 163.15/163.08 ! [V_n,V_m,V_i] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__mult__distrib,axiom,
% 163.15/163.08 ! [V_n,V_b,V_a,T_a] :
% 163.15/163.08 ( class_Groups_Ocomm__monoid__mult(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__commutes,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Groups_Omonoid__mult(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__one,axiom,
% 163.15/163.08 ! [V_n,T_a] :
% 163.15/163.08 ( class_Groups_Omonoid__mult(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__nat__power,axiom,
% 163.15/163.08 ! [V_n,V_m,T_a] :
% 163.15/163.08 ( class_Rings_Osemiring__1(T_a)
% 163.15/163.08 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),V_n) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__mult,axiom,
% 163.15/163.08 ! [V_n,V_m,V_a,T_a] :
% 163.15/163.08 ( class_Groups_Omonoid__mult(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__divide,axiom,
% 163.15/163.08 ! [V_n,V_b,V_a,T_a] :
% 163.15/163.08 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__abs,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__one__right,axiom,
% 163.15/163.08 ! [V_a,T_a] :
% 163.15/163.08 ( class_Groups_Omonoid__mult(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zero__le__power,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__mono,axiom,
% 163.15/163.08 ! [V_n,V_b,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zero__less__power,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__eq__0__iff,axiom,
% 163.15/163.08 ! [V_n_2,V_a_2,T_b] :
% 163.15/163.08 ( ( class_Power_Opower(T_b)
% 163.15/163.08 & class_Rings_Omult__zero(T_b)
% 163.15/163.08 & class_Rings_Ono__zero__divisors(T_b)
% 163.15/163.08 & class_Rings_Ozero__neq__one(T_b) )
% 163.15/163.08 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.08 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.08 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_one__le__power,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__0__Suc,axiom,
% 163.15/163.08 ! [V_n,T_a] :
% 163.15/163.08 ( ( class_Power_Opower(T_a)
% 163.15/163.08 & class_Rings_Osemiring__0(T_a) )
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_OSuc,V_n)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__inject__exp,axiom,
% 163.15/163.08 ! [V_n_2,V_m_2,V_a_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 163.15/163.08 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)
% 163.15/163.08 <=> V_m_2 = V_n_2 ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__Suc,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Power_Opower(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__Suc2,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Groups_Omonoid__mult(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__one__le__power,axiom,
% 163.15/163.08 ! [V_n,V_i] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_i))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__0,axiom,
% 163.15/163.08 ! [V_a,T_a] :
% 163.15/163.08 ( class_Power_Opower(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__add,axiom,
% 163.15/163.08 ! [V_n,V_m,V_a,T_a] :
% 163.15/163.08 ( class_Groups_Omonoid__mult(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nonzero__power__divide,axiom,
% 163.15/163.08 ! [V_n,V_a,V_b,T_a] :
% 163.15/163.08 ( class_Fields_Ofield(T_a)
% 163.15/163.08 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__one__over,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)),V_n) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_abs__power__minus,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__less__imp__less__base,axiom,
% 163.15/163.08 ! [V_b,V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__inject__base,axiom,
% 163.15/163.08 ! [V_b,V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.08 => V_a = V_b ) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__le__imp__le__base,axiom,
% 163.15/163.08 ! [V_b,V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n))))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__gt1__lemma,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__less__power__Suc,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__0__left,axiom,
% 163.15/163.08 ! [V_n,T_a] :
% 163.15/163.08 ( ( class_Power_Opower(T_a)
% 163.15/163.08 & class_Rings_Osemiring__0(T_a) )
% 163.15/163.08 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 163.15/163.08 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__gt1,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__strict__increasing__iff,axiom,
% 163.15/163.08 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__less__imp__less__exp,axiom,
% 163.15/163.08 ! [V_n,V_m,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__strict__increasing,axiom,
% 163.15/163.08 ! [V_a,V_N,V_n,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zero__le__power__abs,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__increasing,axiom,
% 163.15/163.08 ! [V_a,V_N,V_n,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__minus,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__Suc__less,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__eq__imp__eq__base,axiom,
% 163.15/163.08 ! [V_b,V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.08 => V_a = V_b ) ) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__Suc__less__one,axiom,
% 163.15/163.08 ! [V_n,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),c_Groups_Oone__class_Oone(T_a))) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__strict__decreasing,axiom,
% 163.15/163.08 ! [V_a,V_N,V_n,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__decreasing,axiom,
% 163.15/163.08 ! [V_a,V_N,V_n,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__le__imp__le__exp,axiom,
% 163.15/163.08 ! [V_n,V_m,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__semidom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_card__Pow,axiom,
% 163.15/163.08 ! [V_A_2,T_b] :
% 163.15/163.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.08 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power__power__power,axiom,
% 163.15/163.08 ! [T_b] :
% 163.15/163.08 ( class_Power_Opower(T_b)
% 163.15/163.08 => c_Power_Opower__class_Opower(T_b) = c_Power_Opower_Opower(T_b,c_Groups_Oone__class_Oone(T_b),c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_code__numeral_Osize_I1_J,axiom,
% 163.15/163.08 c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__of__nat,axiom,
% 163.15/163.08 ! [V_k,T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.08 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)))) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.08 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_k)) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 163.15/163.08 ! [V_y,V_x] : c_Nitpick_Oint__lcm(V_x,V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__lcm(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_PowI,axiom,
% 163.15/163.08 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__eq__iff,axiom,
% 163.15/163.08 ! [V_z_2,V_w_2,T_b] :
% 163.15/163.08 ( class_Int_Oring__char__0(T_b)
% 163.15/163.08 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 163.15/163.08 <=> V_w_2 = V_z_2 ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_number__of__eq,axiom,
% 163.15/163.08 ! [V_k,T_a] :
% 163.15/163.08 ( class_Int_Onumber__ring(T_a)
% 163.15/163.08 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_int__number__of__def,axiom,
% 163.15/163.08 ! [V_w] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),V_w) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__int__eq,axiom,
% 163.15/163.08 ! [V_n] : hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Pow__top,axiom,
% 163.15/163.08 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Union__Pow__eq,axiom,
% 163.15/163.08 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OPow(T_b),V_A_2)) = V_A_2 ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Pow__not__empty,axiom,
% 163.15/163.08 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__0,axiom,
% 163.15/163.08 ! [T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__0__eq__iff,axiom,
% 163.15/163.08 ! [V_z_2,T_b] :
% 163.15/163.08 ( class_Int_Oring__char__0(T_b)
% 163.15/163.08 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 163.15/163.08 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__eq__0__iff,axiom,
% 163.15/163.08 ! [V_z_2,T_b] :
% 163.15/163.08 ( class_Int_Oring__char__0(T_b)
% 163.15/163.08 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.08 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__le__iff,axiom,
% 163.15/163.08 ! [V_z_2,V_w_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__less__iff,axiom,
% 163.15/163.08 ! [V_z_2,V_w_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__add,axiom,
% 163.15/163.08 ! [V_z,V_w,T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__number__of__eq,axiom,
% 163.15/163.08 ! [V_v,T_a] :
% 163.15/163.08 ( class_Int_Onumber__ring(T_a)
% 163.15/163.08 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__mult,axiom,
% 163.15/163.08 ! [V_z,V_w,T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__1,axiom,
% 163.15/163.08 ! [T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__diff,axiom,
% 163.15/163.08 ! [V_z,V_w,T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__of__nat__eq,axiom,
% 163.15/163.08 ! [V_n,T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__minus,axiom,
% 163.15/163.08 ! [V_z,T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Pow__bottom,axiom,
% 163.15/163.08 ! [V_B_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Set_OPow(T_b),V_B_2))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Pow__iff,axiom,
% 163.15/163.08 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_PowD,axiom,
% 163.15/163.08 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Ints__of__int,axiom,
% 163.15/163.08 ! [V_z_2,T_b] :
% 163.15/163.08 ( class_Rings_Oring__1(T_b)
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__power,axiom,
% 163.15/163.08 ! [V_n,V_z,T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)),V_n) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Pow__mono,axiom,
% 163.15/163.08 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_finite__Pow__iff,axiom,
% 163.15/163.08 ! [V_A_2,T_b] :
% 163.15/163.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 163.15/163.08 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_subset__Pow__Union,axiom,
% 163.15/163.08 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power_Opower_Opower__0,axiom,
% 163.15/163.08 ! [V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 163.15/163.08
% 163.15/163.08 fof(fact_power_Opower_Opower__Suc,axiom,
% 163.15/163.08 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_n_2)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Pow__Int__eq,axiom,
% 163.15/163.08 ! [V_B_2,V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__m1,axiom,
% 163.15/163.08 ! [T_a] :
% 163.15/163.08 ( class_Int_Onumber__ring(T_a)
% 163.15/163.08 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Pow__empty,axiom,
% 163.15/163.08 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__le__0__iff,axiom,
% 163.15/163.08 ! [V_z_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__0__le__iff,axiom,
% 163.15/163.08 ! [V_z_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__0__less__iff,axiom,
% 163.15/163.08 ! [V_z_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__int__less__0__iff,axiom,
% 163.15/163.08 ! [V_z_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_of__nat__nat,axiom,
% 163.15/163.08 ! [V_z,T_a] :
% 163.15/163.08 ( class_Rings_Oring__1(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.15/163.08 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Un__Pow__subset,axiom,
% 163.15/163.08 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 163.15/163.08 ! [V_y,V_x] : c_Nitpick_Onat__lcm(V_x,V_y) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)),c_Nitpick_Onat__gcd(V_x,V_y)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_code__numeral_Osize_I2_J,axiom,
% 163.15/163.08 ! [V_code__numeral] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_negD,axiom,
% 163.15/163.08 ! [V_x] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.08 => ? [B_n] : V_x = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_code__numeral_Osize_I3_J,axiom,
% 163.15/163.08 hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sgn__if,axiom,
% 163.15/163.08 ! [V_x,T_a] :
% 163.15/163.08 ( class_Groups_Osgn__if(T_a)
% 163.15/163.08 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.08 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 163.15/163.08 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 163.15/163.08 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.15/163.08 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.15/163.08 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_code__numeral_Oinject,axiom,
% 163.15/163.08 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 163.15/163.08 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 163.15/163.08 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sgn__sgn,axiom,
% 163.15/163.08 ! [V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Osgn__class_Osgn(T_a,V_a)) = c_Groups_Osgn__class_Osgn(T_a,V_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sgn__0__0,axiom,
% 163.15/163.08 ! [V_a_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.15/163.08 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sgn0,axiom,
% 163.15/163.08 ! [T_a] :
% 163.15/163.08 ( class_Groups_Osgn__if(T_a)
% 163.15/163.08 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sgn__times,axiom,
% 163.15/163.08 ! [V_b,V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a)),c_Groups_Osgn__class_Osgn(T_a,V_b)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 163.15/163.08 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 163.15/163.08 ! [V_code__numeral_H_1] : c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_1) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sgn__less,axiom,
% 163.15/163.08 ! [V_a_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sgn__greater,axiom,
% 163.15/163.08 ! [V_a_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Osgn__class_Osgn(T_b,V_a_2)))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_code__numeral_Osize_I4_J,axiom,
% 163.15/163.08 ! [V_code__numeral] : hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_mult__sgn__abs,axiom,
% 163.15/163.08 ! [V_x,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_x)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)) = V_x ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_abs__sgn,axiom,
% 163.15/163.08 ! [V_k,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_k),c_Groups_Osgn__class_Osgn(T_a,V_k)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Suc__code__numeral__minus__one,axiom,
% 163.15/163.08 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_n)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = V_n ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sgn__1__pos,axiom,
% 163.15/163.08 ! [V_a_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sgn__pos,axiom,
% 163.15/163.08 ! [V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.15/163.08 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__gcd_Osimps,axiom,
% 163.15/163.08 ! [V_x,V_y] :
% 163.15/163.08 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.08 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 163.15/163.08 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.08 => c_Nitpick_Onat__gcd(V_x,V_y) = c_Nitpick_Onat__gcd(V_y,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_zsgn__def,axiom,
% 163.15/163.08 ! [V_i] :
% 163.15/163.08 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.08 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.15/163.08 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.08 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 163.15/163.08 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 163.15/163.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 163.15/163.08 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sgn__neg,axiom,
% 163.15/163.08 ! [V_a,T_a] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_a)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.15/163.08 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sgn__1__neg,axiom,
% 163.15/163.08 ! [V_a_2,T_b] :
% 163.15/163.08 ( class_Rings_Olinordered__idom(T_b)
% 163.15/163.08 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b))
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 163.15/163.08 ! [V_y,V_x] : hAPP(hAPP(c_Nitpick_Oint__gcd,V_x),V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__gcd(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 163.15/163.08 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_compl__unique,axiom,
% 163.15/163.08 ! [V_y,V_x,T_a] :
% 163.15/163.08 ( class_Lattices_Oboolean__algebra(T_a)
% 163.15/163.08 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 163.15/163.08 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 163.15/163.08 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 163.15/163.08 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 163.15/163.08 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 163.15/163.08
% 163.15/163.08 fof(fact_UNIV__I,axiom,
% 163.15/163.08 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_finite__fun__UNIVD2,axiom,
% 163.15/163.08 ! [T_c,T_b] :
% 163.15/163.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 163.15/163.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_UNIV__not__empty,axiom,
% 163.15/163.08 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_finite__UNIV,axiom,
% 163.15/163.08 ! [T_b] :
% 163.15/163.08 ( class_Finite__Set_Ofinite(T_b)
% 163.15/163.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_subset__UNIV,axiom,
% 163.15/163.08 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_UNIV__Plus__UNIV,axiom,
% 163.15/163.08 ! [T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_finite__option__UNIV,axiom,
% 163.15/163.08 ! [T_b] :
% 163.15/163.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool))))
% 163.15/163.08 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_finite__Prod__UNIV,axiom,
% 163.15/163.08 ! [T_c,T_b] :
% 163.15/163.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 163.15/163.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 163.15/163.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Union__UNIV,axiom,
% 163.15/163.08 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_top__apply,axiom,
% 163.15/163.08 ! [V_x_2,T_c,T_b] :
% 163.15/163.08 ( class_Orderings_Otop(T_b)
% 163.15/163.08 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Sup__UNIV,axiom,
% 163.15/163.08 ! [T_b] :
% 163.15/163.08 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.08 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Int__UNIV__right,axiom,
% 163.15/163.08 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Int__UNIV__left,axiom,
% 163.15/163.08 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Un__UNIV__right,axiom,
% 163.15/163.08 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Un__UNIV__left,axiom,
% 163.15/163.08 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Pow__UNIV,axiom,
% 163.15/163.08 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_card__UNIV__unit,axiom,
% 163.15/163.08 hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit),c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_finite__Plus__UNIV__iff,axiom,
% 163.15/163.08 ! [T_c,T_b] :
% 163.15/163.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))))
% 163.15/163.08 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 163.15/163.08 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_vimage__UNIV,axiom,
% 163.15/163.08 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 163.15/163.08 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 163.15/163.08 ! [V_y,V_x] :
% 163.15/163.08 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.15/163.08 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.15/163.08 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 163.15/163.08 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 163.15/163.08 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 163.15/163.08 ! [V_y,V_x] :
% 163.15/163.08 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.15/163.08 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.15/163.08 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 163.15/163.08 ! [V_y,V_x] :
% 163.15/163.08 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.15/163.08 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.15/163.08 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 163.15/163.08 ! [V_y,V_x] :
% 163.15/163.08 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.15/163.08 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.15/163.08 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_top__greatest,axiom,
% 163.15/163.08 ! [V_x,T_a] :
% 163.15/163.08 ( class_Orderings_Otop(T_a)
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sup__top__right,axiom,
% 163.15/163.08 ! [V_x,T_a] :
% 163.15/163.08 ( class_Lattices_Obounded__lattice__top(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sup__top__left,axiom,
% 163.15/163.08 ! [V_x,T_a] :
% 163.15/163.08 ( class_Lattices_Obounded__lattice__top(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_inf__top__left,axiom,
% 163.15/163.08 ! [V_x,T_a] :
% 163.15/163.08 ( class_Lattices_Obounded__lattice__top(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_inf__top__right,axiom,
% 163.15/163.08 ! [V_x,T_a] :
% 163.15/163.08 ( class_Lattices_Obounded__lattice__top(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_inf__eq__top__iff,axiom,
% 163.15/163.08 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.08 ( class_Lattices_Obounded__lattice__top(T_b)
% 163.15/163.08 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 163.15/163.08 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 163.15/163.08 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 163.15/163.08 ! [V_n,V_x] :
% 163.15/163.08 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.15/163.08 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Diff__UNIV,axiom,
% 163.15/163.08 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 163.15/163.08 ! [V_y,V_x] :
% 163.15/163.08 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.15/163.08 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.15/163.08 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 163.15/163.08 ! [V_A_2,T_b] :
% 163.15/163.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 163.15/163.08 => ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.15/163.08 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Compl__empty__eq,axiom,
% 163.15/163.08 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Compl__UNIV__eq,axiom,
% 163.15/163.08 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_finite__compl,axiom,
% 163.15/163.08 ! [V_A_2,T_b] :
% 163.15/163.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 163.15/163.08 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Compl__partition2,axiom,
% 163.15/163.08 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Compl__partition,axiom,
% 163.15/163.08 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 163.15/163.08 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_is__nat__def,axiom,
% 163.15/163.08 ! [V_x_2] :
% 163.15/163.08 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 163.15/163.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_compl__bot__eq,axiom,
% 163.15/163.08 ! [T_a] :
% 163.15/163.08 ( class_Lattices_Oboolean__algebra(T_a)
% 163.15/163.08 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_compl__top__eq,axiom,
% 163.15/163.08 ! [T_a] :
% 163.15/163.08 ( class_Lattices_Oboolean__algebra(T_a)
% 163.15/163.08 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_sup__compl__top,axiom,
% 163.15/163.08 ! [V_x,T_a] :
% 163.15/163.08 ( class_Lattices_Oboolean__algebra(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_compl__sup__top,axiom,
% 163.15/163.08 ! [V_x,T_a] :
% 163.15/163.08 ( class_Lattices_Oboolean__algebra(T_a)
% 163.15/163.08 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 163.15/163.08 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_finite__UNIV__card__ge__0,axiom,
% 163.15/163.08 ! [T_b] :
% 163.15/163.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_card__UNIV__bool,axiom,
% 163.15/163.08 hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_finite__fun__UNIVD1,axiom,
% 163.15/163.08 ! [T_c,T_b] :
% 163.15/163.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 163.15/163.08 => ( hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.15/163.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_Inf__fold__inf,axiom,
% 163.15/163.08 ! [V_A_2,T_b] :
% 163.15/163.08 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.08 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_nat__mod__eq__lemma,axiom,
% 163.15/163.08 ! [V_y,V_n,V_x] :
% 163.15/163.08 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 163.15/163.08 => ? [B_q] : V_x = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),B_q)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_mod__induct__0,axiom,
% 163.15/163.08 ! [V_i_2,V_Pa_2,V_p_2] :
% 163.15/163.08 ( ! [B_i] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 163.15/163.08 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 163.15/163.08 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 163.15/163.08 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 163.15/163.08 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_log_Osimps,axiom,
% 163.15/163.08 ! [V_i,V_b] :
% 163.15/163.08 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))
% 163.15/163.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 163.15/163.08 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 163.15/163.08 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))
% 163.15/163.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 163.15/163.08 => c_Random_Olog(V_b,V_i) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),c_Random_Olog(V_b,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_i),V_b))) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_finite__Inter,axiom,
% 163.15/163.08 ! [V_M_2,T_b] :
% 163.15/163.08 ( ? [B_x] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 163.15/163.08 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 163.15/163.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_top1I,axiom,
% 163.15/163.08 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_InterD,axiom,
% 163.15/163.08 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 163.15/163.08 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 163.15/163.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 163.15/163.08
% 163.15/163.08 fof(fact_InterE,axiom,
% 163.15/163.08 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 163.15/163.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inter__UNIV,axiom,
% 163.15/163.09 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inter__empty,axiom,
% 163.15/163.09 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_le__Inf__iff,axiom,
% 163.15/163.09 ! [V_A_2,V_b_2,T_b] :
% 163.15/163.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)))
% 163.15/163.09 <=> ! [B_x] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inf__less__iff,axiom,
% 163.15/163.09 ! [V_a_2,V_S_2,T_b] :
% 163.15/163.09 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.09 & class_Orderings_Olinorder(T_b) )
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 163.15/163.09 <=> ? [B_x] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.15/163.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inf__UNIV,axiom,
% 163.15/163.09 ! [T_b] :
% 163.15/163.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.09 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inter__lower,axiom,
% 163.15/163.09 ! [V_A_2,V_B_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inter__anti__mono,axiom,
% 163.15/163.09 ! [V_A_2,V_B_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inter__insert,axiom,
% 163.15/163.09 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inf__lower,axiom,
% 163.15/163.09 ! [V_A_2,V_x_2,T_b] :
% 163.15/163.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)),V_x_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inter__Un__distrib,axiom,
% 163.15/163.09 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inf__singleton,axiom,
% 163.15/163.09 ! [V_a_2,T_b] :
% 163.15/163.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.09 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inf__empty,axiom,
% 163.15/163.09 ! [T_b] :
% 163.15/163.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.09 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inf__insert,axiom,
% 163.15/163.09 ! [V_A_2,V_a_2,T_b] :
% 163.15/163.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.09 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Int__eq__Inter,axiom,
% 163.15/163.09 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inter__Un__subset,axiom,
% 163.15/163.09 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inf__binary,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.09 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_inf__Inf__fold__inf,axiom,
% 163.15/163.09 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inf__fin__Inf,axiom,
% 163.15/163.09 ! [V_A_2,T_b] :
% 163.15/163.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.09 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.09 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_minus__shift__def,axiom,
% 163.15/163.09 ! [V_r,V_l,V_k] :
% 163.15/163.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 163.15/163.09 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_r),V_k)),V_l) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 163.15/163.09 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k),V_l) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_inc__shift__def,axiom,
% 163.15/163.09 ! [V_k,V_v] :
% 163.15/163.09 ( ( V_v = V_k
% 163.15/163.09 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 163.15/163.09 & ( V_v != V_k
% 163.15/163.09 => c_Random_Oinc__shift(V_v,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_k),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_iso__tuple__UNIV__I,axiom,
% 163.15/163.09 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mod__div__decomp,axiom,
% 163.15/163.09 ! [V_b,V_a,T_a] :
% 163.15/163.09 ( class_Divides_Osemiring__div(T_a)
% 163.15/163.09 => V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Inter__subset,axiom,
% 163.15/163.09 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.09 ( ! [B_X] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 163.15/163.09 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_InterI,axiom,
% 163.15/163.09 ! [V_A_2,V_C_2,T_b] :
% 163.15/163.09 ( ! [B_X] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_com_Osize_I14_J,axiom,
% 163.15/163.09 ! [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))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_com_Osize_I6_J,axiom,
% 163.15/163.09 ! [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))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_com_Osimps_I5_J,axiom,
% 163.15/163.09 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 163.15/163.09 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 163.15/163.09 <=> ( V_fun_2 = V_fun_H_2
% 163.15/163.09 & V_com_2 = V_com_H_2 ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_com_Osimps_I52_J,axiom,
% 163.15/163.09 ! [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) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_com_Osimps_I53_J,axiom,
% 163.15/163.09 ! [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) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_com_Osimps_I46_J,axiom,
% 163.15/163.09 ! [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) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_com_Osimps_I47_J,axiom,
% 163.15/163.09 ! [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) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_com_Osimps_I38_J,axiom,
% 163.15/163.09 ! [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) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_com_Osimps_I39_J,axiom,
% 163.15/163.09 ! [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) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_com_Osimps_I16_J,axiom,
% 163.15/163.09 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_com_Osimps_I17_J,axiom,
% 163.15/163.09 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 163.15/163.09
% 163.15/163.09 fof(fact_minus__code__numeral__code,axiom,
% 163.15/163.09 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,V_n),V_m) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_subtract__code__numeral__def,axiom,
% 163.15/163.09 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pair__box_Osize_I1_J,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__size(T_b,T_c,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_b_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 163.15/163.09 ! [V_w] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 163.15/163.09 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 163.15/163.09 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pair__box_Oinject,axiom,
% 163.15/163.09 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 163.15/163.09 ( c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_H_2,V_b_H_2)
% 163.15/163.09 <=> ( V_a_2 = V_a_H_2
% 163.15/163.09 & V_b_2 = V_b_H_2 ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_negDivAlg__div__mod,axiom,
% 163.15/163.09 ! [V_l,V_k] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.15/163.09 => c_Divides_OnegDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_negDivAlg__minus1,axiom,
% 163.15/163.09 ! [V_b] : c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_negDivAlg_Osimps,axiom,
% 163.15/163.09 ! [V_b,V_a] :
% 163.15/163.09 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 163.15/163.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.15/163.09 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) )
% 163.15/163.09 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 163.15/163.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.15/163.09 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_negDivAlg__eqn,axiom,
% 163.15/163.09 ! [V_a,V_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 163.15/163.09 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 163.15/163.09 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_negDivAlg__eqn__number__of,axiom,
% 163.15/163.09 ! [V_w,V_v] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 163.15/163.09 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 163.15/163.09 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 163.15/163.09 ! [V_w] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 163.15/163.09 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 163.15/163.09 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_posDivAlg_Osimps,axiom,
% 163.15/163.09 ! [V_b,V_a] :
% 163.15/163.09 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.15/163.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.15/163.09 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) )
% 163.15/163.09 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.15/163.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.15/163.09 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_in__rel__def,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_R_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_posDivAlg__eqn__number__of,axiom,
% 163.15/163.09 ! [V_w,V_v] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.09 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.15/163.09 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_posDivAlg__0,axiom,
% 163.15/163.09 ! [V_b] : c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_posDivAlg__div__mod,axiom,
% 163.15/163.09 ! [V_l,V_k] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.15/163.09 => c_Divides_OposDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_posDivAlg__eqn,axiom,
% 163.15/163.09 ! [V_a,V_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.15/163.09 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.15/163.09 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_div__mod__code__numeral__def,axiom,
% 163.15/163.09 ! [V_m,V_n] : c_Code__Numeral_Odiv__mod__code__numeral(V_n,V_m) = hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m)),c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Nitpick_Orefl_H__def,axiom,
% 163.15/163.09 ! [V_r_2,T_b] :
% 163.15/163.09 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 163.15/163.09 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__nat__step,axiom,
% 163.15/163.09 ! [V_m,V_n] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.15/163.09 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pair__box_Osize_I2_J,axiom,
% 163.15/163.09 ! [V_b,V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(T_a,T_b)),c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a,V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__nat__zero,axiom,
% 163.15/163.09 ! [V_m] : c_Divides_Odivmod__nat(V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__nat__base,axiom,
% 163.15/163.09 ! [V_n,V_m] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.15/163.09 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__nat__div__mod,axiom,
% 163.15/163.09 ! [V_n,V_m] : c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 163.15/163.09 ! [V_a,V_r,V_q,V_c,V_b] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 163.15/163.09 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r),V_c)))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 163.15/163.09 ! [V_c,V_r,V_q,V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 163.15/163.09 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)))) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pair__box_Orecs,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__rec(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pair__box_Osimps_I2_J,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__case(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__nat__rel__unique,axiom,
% 163.15/163.09 ! [V_qr_H,V_qr,V_n,V_m] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 163.15/163.09 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 163.15/163.09 => V_qr = V_qr_H ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__nat__eq,axiom,
% 163.15/163.09 ! [V_qr,V_n,V_m] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 163.15/163.09 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 163.15/163.09 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mod__eq,axiom,
% 163.15/163.09 ! [V_r,V_q,V_n,V_m] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 163.15/163.09 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_div__eq,axiom,
% 163.15/163.09 ! [V_r,V_q,V_n,V_m] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 163.15/163.09 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__nat__rel,axiom,
% 163.15/163.09 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 163.15/163.09 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aq),V_ar)))
% 163.15/163.09 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_bq),V_br)))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 163.15/163.09 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br),V_c)))) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_negDivAlg_Opsimps,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 163.15/163.09 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)))
% 163.15/163.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.15/163.09 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)) )
% 163.15/163.09 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)))
% 163.15/163.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.15/163.09 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OnegDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pdivmod__posDivAlg,axiom,
% 163.15/163.09 ! [V_k,V_l] :
% 163.15/163.09 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)) )
% 163.15/163.09 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => c_Divides_Opdivmod(V_k,V_l) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pdivmod__def,axiom,
% 163.15/163.09 ! [V_l,V_k] : c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_zmult2__lemma,axiom,
% 163.15/163.09 ! [V_c,V_r,V_q,V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 163.15/163.09 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.15/163.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)))) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_unique__remainder,axiom,
% 163.15/163.09 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 163.15/163.09 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H)))
% 163.15/163.09 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => V_r = V_r_H ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_unique__quotient,axiom,
% 163.15/163.09 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 163.15/163.09 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H)))
% 163.15/163.09 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => V_q = V_q_H ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_self__remainder,axiom,
% 163.15/163.09 ! [V_r,V_q,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 163.15/163.09 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__int__rel__0,axiom,
% 163.15/163.09 ! [V_b] :
% 163.15/163.09 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_self__quotient,axiom,
% 163.15/163.09 ! [V_r,V_q,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 163.15/163.09 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__int__rel__mod,axiom,
% 163.15/163.09 ! [V_r,V_q,V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 163.15/163.09 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__int__rel__div,axiom,
% 163.15/163.09 ! [V_r,V_q,V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 163.15/163.09 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_negDivAlg__correct,axiom,
% 163.15/163.09 ! [V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__int__rel__div__mod,axiom,
% 163.15/163.09 ! [V_a,V_b] :
% 163.15/163.09 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_posDivAlg__correct,axiom,
% 163.15/163.09 ! [V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_zadd1__lemma,axiom,
% 163.15/163.09 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_aq),V_ar)))
% 163.15/163.09 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_bq),V_br)))
% 163.15/163.09 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br),V_c)))) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_zminus1__lemma,axiom,
% 163.15/163.09 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a_2,V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)))
% 163.15/163.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b_2),V_r_2))))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__int__relI,axiom,
% 163.15/163.09 ! [V_r,V_q,V_b,V_a] :
% 163.15/163.09 ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)
% 163.15/163.09 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.15/163.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 163.15/163.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 163.15/163.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_zmult1__lemma,axiom,
% 163.15/163.09 ! [V_a,V_r,V_q,V_c,V_b] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 163.15/163.09 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r),V_c)))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_posDivAlg_Opsimps,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 163.15/163.09 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 163.15/163.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.15/163.09 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2) )
% 163.15/163.09 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 163.15/163.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.15/163.09 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OposDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_negDivAlg_Opinduct,axiom,
% 163.15/163.09 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 163.15/163.09 => ( ! [B_a,B_b] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 163.15/163.09 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_a),B_b)))
% 163.15/163.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.15/163.09 => 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))) )
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_posDivAlg_Opinduct,axiom,
% 163.15/163.09 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 163.15/163.09 => ( ! [B_a,B_b] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 163.15/163.09 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 163.15/163.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.15/163.09 => 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))) )
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_accp__subset,axiom,
% 163.15/163.09 ! [V_R2_2,V_R1_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_R1_2),V_R2_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_b,V_R2_2)),c_Wellfounded_Oaccp(T_b,V_R1_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_predicate2D,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_c,T_b] :
% 163.15/163.09 ( 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))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_rev__predicate2D,axiom,
% 163.15/163.09 ! [V_Qa_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 163.15/163.09 => ( 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))
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_accp_Osimps,axiom,
% 163.15/163.09 ! [V_a_2,V_r_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 163.15/163.09 <=> ! [B_x] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 163.15/163.09 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_accp_Oequations,axiom,
% 163.15/163.09 ! [V_a_2,V_r_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 163.15/163.09 <=> ! [B_x] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 163.15/163.09 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_accp__downward,axiom,
% 163.15/163.09 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 163.15/163.09 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat__gcd_Opsimps,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)))
% 163.15/163.09 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.09 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 163.15/163.09 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.09 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = c_Nitpick_Onat__gcd(V_y_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x_2,V_y_2)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat_Osize_I2_J,axiom,
% 163.15/163.09 ! [V_nat] : c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_Onat_Onat__size(V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_in__measure,axiom,
% 163.15/163.09 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mlex__leq,axiom,
% 163.15/163.09 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat_Osize_I1_J,axiom,
% 163.15/163.09 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mlex__less,axiom,
% 163.15/163.09 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat__gcd_Opinduct,axiom,
% 163.15/163.09 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a0_2),V_a1_2)))
% 163.15/163.09 => ( ! [B_x,B_y] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)))
% 163.15/163.09 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat_Osize_I4_J,axiom,
% 163.15/163.09 ! [V_nat] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__int__def,axiom,
% 163.15/163.09 ! [V_b,V_a] :
% 163.15/163.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.09 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.09 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 163.15/163.09 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.09 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.09 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mod__pos__pos__1__number__of,axiom,
% 163.15/163.09 ! [V_w] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 163.15/163.09 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mod__int__def,axiom,
% 163.15/163.09 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat__size,axiom,
% 163.15/163.09 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat_Osize_I3_J,axiom,
% 163.15/163.09 hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mod__pos__neg,axiom,
% 163.15/163.09 ! [V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_negateSnd__eq,axiom,
% 163.15/163.09 ! [V_r,V_q] : hAPP(c_Divides_OnegateSnd,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_r)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mod__neg__neg,axiom,
% 163.15/163.09 ! [V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__int__rel__neg,axiom,
% 163.15/163.09 ! [V_qr,V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)),V_qr))
% 163.15/163.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mod__neg__pos,axiom,
% 163.15/163.09 ! [V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.09 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__int__correct,axiom,
% 163.15/163.09 ! [V_a,V_b] :
% 163.15/163.09 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mod__pos__neg__1__number__of,axiom,
% 163.15/163.09 ! [V_w] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mod__pos__pos,axiom,
% 163.15/163.09 ! [V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.09 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__int__mod__div,axiom,
% 163.15/163.09 ! [V_q,V_p] : c_Divides_Odivmod__int(V_p,V_q) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_p),V_q)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_p,V_q)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_div__pos__neg__1__number__of,axiom,
% 163.15/163.09 ! [V_w] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_div__neg__neg,axiom,
% 163.15/163.09 ! [V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_snd__eqD,axiom,
% 163.15/163.09 ! [V_a,V_y,V_x,T_a,T_b] :
% 163.15/163.09 ( hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x),V_y)) = V_a
% 163.15/163.09 => V_y = V_a ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_snd__conv,axiom,
% 163.15/163.09 ! [V_b,V_a,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a),V_b)) = V_b ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Pair__fst__snd__eq,axiom,
% 163.15/163.09 ! [T_c,T_b,V_t_2,V_s_2] :
% 163.15/163.09 ( V_s_2 = V_t_2
% 163.15/163.09 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 163.15/163.09 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_prod__eqI,axiom,
% 163.15/163.09 ! [V_q,V_p,T_b,T_a] :
% 163.15/163.09 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 163.15/163.09 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 163.15/163.09 => V_p = V_q ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_fst__conv,axiom,
% 163.15/163.09 ! [V_b,V_a,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b)) = V_a ).
% 163.15/163.09
% 163.15/163.09 fof(fact_fst__eqD,axiom,
% 163.15/163.09 ! [V_a,V_y,V_x,T_b,T_a] :
% 163.15/163.09 ( hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) = V_a
% 163.15/163.09 => V_x = V_a ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_surjective__pairing,axiom,
% 163.15/163.09 ! [T_b,T_a,V_t] : V_t = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_t)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_t)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pair__collapse,axiom,
% 163.15/163.09 ! [V_p,T_b,T_a] : hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_p)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_p)) = V_p ).
% 163.15/163.09
% 163.15/163.09 fof(fact_div__int__def,axiom,
% 163.15/163.09 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mod__nat__def,axiom,
% 163.15/163.09 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Pair__inject,axiom,
% 163.15/163.09 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 163.15/163.09 ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H),V_b_H)
% 163.15/163.09 => ~ ( V_a = V_a_H
% 163.15/163.09 => V_b != V_b_H ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Pair__eq,axiom,
% 163.15/163.09 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 163.15/163.09 ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2)
% 163.15/163.09 <=> ( V_a_2 = V_a_H_2
% 163.15/163.09 & V_b_2 = V_b_H_2 ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_split__paired__All,axiom,
% 163.15/163.09 ! [T_c,T_b,V_Pa_2] :
% 163.15/163.09 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 163.15/163.09 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_div__neg__pos,axiom,
% 163.15/163.09 ! [V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.09 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_div__pos__pos,axiom,
% 163.15/163.09 ! [V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.15/163.09 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_div__pos__pos__1__number__of,axiom,
% 163.15/163.09 ! [V_w] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 163.15/163.09 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_div__pos__neg,axiom,
% 163.15/163.09 ! [V_b,V_a] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_prod__size__simp,axiom,
% 163.15/163.09 ! [V_p_2,V_g_2,V_f_2,T_c,T_b] : c_Product__Type_Oprod_Oprod__size(T_b,T_c,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_conjI__realizer,axiom,
% 163.15/163.09 ! [T_c,T_b,V_q_2,V_Qa_2,V_p_2,V_Pa_2] :
% 163.15/163.09 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 163.15/163.09 => ( hBOOL(hAPP(V_Qa_2,V_q_2))
% 163.15/163.09 => ( 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))))
% 163.15/163.09 & 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)))) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_exI__realizer,axiom,
% 163.15/163.09 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 163.15/163.09 => 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)))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_prod_Orecs,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Product__Type_Oprod_Oprod__rec(T_c,T_d,T_b,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_div__nat__def,axiom,
% 163.15/163.09 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__nat__rel__def,axiom,
% 163.15/163.09 ! [V_qr_2,V_n_2,V_m_2] :
% 163.15/163.09 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 163.15/163.09 <=> ( V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))
% 163.15/163.09 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.09 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.09 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 163.15/163.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)) ) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 163.15/163.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_range,axiom,
% 163.15/163.09 ! [V_s,V_k] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_k))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Orange(V_k),V_s))),V_k)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_in__lex__prod,axiom,
% 163.15/163.09 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_b,T_c,V_r_2,V_s_2)))
% 163.15/163.09 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2))
% 163.15/163.09 | ( V_a_2 = V_a_H_2
% 163.15/163.09 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_in__finite__psubset,axiom,
% 163.15/163.09 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_b)))
% 163.15/163.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.15/163.09 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pair__lessI2,axiom,
% 163.15/163.09 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pair__lessI1,axiom,
% 163.15/163.09 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_same__fstI,axiom,
% 163.15/163.09 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] :
% 163.15/163.09 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_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))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pair__leqI2,axiom,
% 163.15/163.09 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_smax__insertI,axiom,
% 163.15/163.09 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),V_Y_2)),c_FunDef_Omax__strict))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_X_2)),V_Y_2)),c_FunDef_Omax__strict)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_smin__insertI,axiom,
% 163.15/163.09 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__strict))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__strict)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_smin__emptyI,axiom,
% 163.15/163.09 ! [V_X_2] :
% 163.15/163.09 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__strict)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_smax__emptyI,axiom,
% 163.15/163.09 ! [V_Y_2] :
% 163.15/163.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 163.15/163.09 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_Y_2)),c_FunDef_Omax__strict)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pair__leqI1,axiom,
% 163.15/163.09 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_wmin__insertI,axiom,
% 163.15/163.09 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__weak))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__weak)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_wmax__insertI,axiom,
% 163.15/163.09 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omax__weak))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)),V_YS_2)),c_FunDef_Omax__weak)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_wmin__emptyI,axiom,
% 163.15/163.09 ! [V_X_2] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__weak)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_wmax__emptyI,axiom,
% 163.15/163.09 ! [V_X_2] :
% 163.15/163.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_X_2)),c_FunDef_Omax__weak)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_less__by__empty,axiom,
% 163.15/163.09 ! [V_B_2,T_b,V_A_2] :
% 163.15/163.09 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__weak__def,axiom,
% 163.15/163.09 c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__weak__def,axiom,
% 163.15/163.09 c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__rpair__set,axiom,
% 163.15/163.09 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omax__strict),c_FunDef_Omax__weak)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__rpair__set,axiom,
% 163.15/163.09 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omin__strict),c_FunDef_Omin__weak)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__strict__def,axiom,
% 163.15/163.09 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__ext__additive,axiom,
% 163.15/163.09 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__strict__def,axiom,
% 163.15/163.09 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_less__than__iff,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Wellfounded_Oless__than))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_intrel__iff,axiom,
% 163.15/163.09 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2))),c_Int_Ointrel))
% 163.15/163.09 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_rp__inv__image__rp,axiom,
% 163.15/163.09 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 163.15/163.09 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 163.15/163.09 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__ext_Ointros,axiom,
% 163.15/163.09 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 163.15/163.09 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.09 => ( ! [B_x] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 163.15/163.09 => ? [B_xa] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 163.15/163.09 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) )
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pair__less__def,axiom,
% 163.15/163.09 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_equiv__intrel__iff,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2] :
% 163.15/163.09 ( hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))) = hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_Int_Ointrel)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 163.15/163.09 ! [T_a] : c_Nitpick_Ozero__frac(T_a) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_measure__def,axiom,
% 163.15/163.09 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_adjust__eq,axiom,
% 163.15/163.09 ! [V_r_2,V_q_2,V_b_2] : hAPP(c_Divides_Oadjust(V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_r_2),V_b_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),V_r_2))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__abs,axiom,
% 163.15/163.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__abs__ge__zero,axiom,
% 163.15/163.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setprod_Odistrib,axiom,
% 163.15/163.09 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum_Odistrib,axiom,
% 163.15/163.09 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Oplus__class_Oplus(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setprod__dividef,axiom,
% 163.15/163.09 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 163.15/163.09 ( class_Fields_Ofield__inverse__zero(T_c)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat__number__of__Bit0,axiom,
% 163.15/163.09 ! [V_w_2] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__negf,axiom,
% 163.15/163.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Groups_Oab__group__add(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_fun__Compl__def,axiom,
% 163.15/163.09 ! [V_x_2,V_A_2,T_c,T_b] :
% 163.15/163.09 ( class_Groups_Ouminus(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_int__setprod,axiom,
% 163.15/163.09 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setprod__1,axiom,
% 163.15/163.09 ! [V_A_2,T_c,T_b] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Oone__class_Oone(T_b))),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_abs__setsum__abs,axiom,
% 163.15/163.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.15/163.09 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_abs__setprod,axiom,
% 163.15/163.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Fields_Olinordered__field(T_b)
% 163.15/163.09 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__right__distrib,axiom,
% 163.15/163.09 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 163.15/163.09 ( class_Rings_Osemiring__0(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2)),V_f_2)),V_A_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__left__distrib,axiom,
% 163.15/163.09 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Rings_Osemiring__0(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__product,axiom,
% 163.15/163.09 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Rings_Osemiring__0(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_b),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,T_b)),T_c),c_COMBB(T_b,T_b,T_d)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_inf__fun__def,axiom,
% 163.15/163.09 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Lattices_Olattice(T_b)
% 163.15/163.09 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setprod__timesf,axiom,
% 163.15/163.09 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),V_A_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 163.15/163.09 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.15/163.09 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.15/163.09 => c_Finite__Set_Ofun__left__comm(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__commute,axiom,
% 163.15/163.09 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_b),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))),V_A_2)),V_B_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 163.15/163.09 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.15/163.09 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 163.15/163.09 => c_Finite__Set_Ofun__left__comm__idem(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__divide__distrib,axiom,
% 163.15/163.09 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Fields_Ofield(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_fold__image__def,axiom,
% 163.15/163.09 ! [V_g_2,V_f_2,T_c,T_b] : hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_c,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_int__setsum,axiom,
% 163.15/163.09 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__0,axiom,
% 163.15/163.09 ! [V_A_2,T_c,T_b] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_fun__diff__def,axiom,
% 163.15/163.09 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 163.15/163.09 ( class_Groups_Ominus(T_b)
% 163.15/163.09 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__subtractf,axiom,
% 163.15/163.09 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Groups_Oab__group__add(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_of__int__setprod,axiom,
% 163.15/163.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.15/163.09 & class_Rings_Oring__1(T_b) )
% 163.15/163.09 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_of__int__setsum,axiom,
% 163.15/163.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Rings_Oring__1(T_b)
% 163.15/163.09 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__addf,axiom,
% 163.15/163.09 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_inf__Int__eq,axiom,
% 163.15/163.09 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pred__equals__eq,axiom,
% 163.15/163.09 ! [V_S_2,V_R_2,T_b] :
% 163.15/163.09 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)
% 163.15/163.09 <=> V_R_2 = V_S_2 ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pred__subset__eq,axiom,
% 163.15/163.09 ! [V_S_2,V_R_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_sup__Un__eq,axiom,
% 163.15/163.09 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_sup__Un__eq2,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_inf__Int__eq2,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pred__equals__eq2,axiom,
% 163.15/163.09 ! [V_S_2,V_R_2,T_c,T_b] :
% 163.15/163.09 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)
% 163.15/163.09 <=> V_R_2 = V_S_2 ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_less__eq__Suc__le__raw,axiom,
% 163.15/163.09 ! [V_n_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_sup__fun__def,axiom,
% 163.15/163.09 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Lattices_Olattice(T_b)
% 163.15/163.09 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_bot__fun__def,axiom,
% 163.15/163.09 ! [V_x_2,T_c,T_b] :
% 163.15/163.09 ( class_Orderings_Obot(T_b)
% 163.15/163.09 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_bot__empty__eq2,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,T_c,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_bot__empty__eq,axiom,
% 163.15/163.09 ! [V_x_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_of__nat__setsum,axiom,
% 163.15/163.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( class_Rings_Osemiring__1(T_b)
% 163.15/163.09 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 163.15/163.09 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_card__eq__setsum,axiom,
% 163.15/163.09 ! [V_A_2,T_b] : hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_of__nat__setprod,axiom,
% 163.15/163.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.15/163.09 & class_Rings_Osemiring__1(T_b) )
% 163.15/163.09 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 163.15/163.09 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__delta_H,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__delta,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setprod__delta_H,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setprod__delta,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_vimage__const,axiom,
% 163.15/163.09 ! [T_c,V_A_2,V_ca_2,T_b] :
% 163.15/163.09 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.15/163.09 => 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)) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.15/163.09 => 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)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__constant,axiom,
% 163.15/163.09 ! [V_A_2,V_y_2,T_c,T_b] :
% 163.15/163.09 ( class_Rings_Osemiring__1(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_y_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_power__number__of__even,axiom,
% 163.15/163.09 ! [V_w_2,V_z_2,T_b] :
% 163.15/163.09 ( class_Int_Onumber__ring(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_fold__image__distrib,axiom,
% 163.15/163.09 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.09 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setprod__constant,axiom,
% 163.15/163.09 ! [V_y_2,V_A_2,T_b,T_c] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_COMBK(T_c,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_y_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_zpower__number__of__even,axiom,
% 163.15/163.09 ! [V_w_2,V_z_2] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_COMBI(tc_Int_Oint))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_pred__subset__eq2,axiom,
% 163.15/163.09 ! [V_S_2,V_R_2,T_c,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_falseE,axiom,
% 163.15/163.09 ! [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)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_trueI,axiom,
% 163.15/163.09 ! [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)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Powp__Pow__eq,axiom,
% 163.15/163.09 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__restrict__set,axiom,
% 163.15/163.09 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_power__number__of__even__number__of,axiom,
% 163.15/163.09 ! [V_w_2,V_v_2,T_b] :
% 163.15/163.09 ( class_Int_Onumber__ring(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_card_Oeq__fold__g,axiom,
% 163.15/163.09 ! [V_A_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.09 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_card__def,axiom,
% 163.15/163.09 ! [V_A_2,T_b] :
% 163.15/163.09 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.09 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.09 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_fun__left__comm__idem__remove,axiom,
% 163.15/163.09 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_vimage__if,axiom,
% 163.15/163.09 ! [V_B_2,T_c,V_d_2,V_A_2,V_ca_2,T_b] :
% 163.15/163.09 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 163.15/163.09 => 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)) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 163.15/163.09 => 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 ) ) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 163.15/163.09 => 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) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 163.15/163.09 => 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)) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_diff__nat__eq__if,axiom,
% 163.15/163.09 ! [V_z_2,V_z_H_2] :
% 163.15/163.09 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 163.15/163.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(c_Int_Onat,V_z_2) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 163.15/163.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),V_z_H_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_LoopF,axiom,
% 163.15/163.09 ! [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)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_minus__fold__remove,axiom,
% 163.15/163.09 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2),V_A_2) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_eq__number__of__Suc,axiom,
% 163.15/163.09 ! [V_n_2,V_v_2] :
% 163.15/163.09 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Suc__eq__number__of,axiom,
% 163.15/163.09 ! [V_v_2,V_n_2] :
% 163.15/163.09 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat__number__of__Bit1,axiom,
% 163.15/163.09 ! [V_w_2] :
% 163.15/163.09 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 163.15/163.09 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 163.15/163.09 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat)))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_less__Suc__number__of,axiom,
% 163.15/163.09 ! [V_v_2,V_n_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_less__number__of__Suc,axiom,
% 163.15/163.09 ! [V_n_2,V_v_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_le__number__of__Suc,axiom,
% 163.15/163.09 ! [V_n_2,V_v_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_le__Suc__number__of,axiom,
% 163.15/163.09 ! [V_v_2,V_n_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_power__number__of__odd,axiom,
% 163.15/163.09 ! [V_z_2,V_w_2,T_b] :
% 163.15/163.09 ( class_Int_Onumber__ring(T_b)
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 163.15/163.09 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2))),c_COMBI(T_b))) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 163.15/163.09 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setprod__gen__delta,axiom,
% 163.15/163.09 ! [V_ca_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_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)))) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_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)) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_zpower__number__of__odd,axiom,
% 163.15/163.09 ! [V_z_2,V_w_2] :
% 163.15/163.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 163.15/163.09 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z_2))),c_COMBI(tc_Int_Oint))) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 163.15/163.09 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__number__of__Suc,axiom,
% 163.15/163.09 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__Suc__number__of,axiom,
% 163.15/163.09 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_power__number__of__odd__number__of,axiom,
% 163.15/163.09 ! [V_v_2,V_w_2,T_b] :
% 163.15/163.09 ( class_Int_Onumber__ring(T_b)
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 163.15/163.09 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)))),c_COMBI(T_b))) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 163.15/163.09 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_diff__nat__number__of,axiom,
% 163.15/163.09 ! [V_v_2,V_v_H_2] :
% 163.15/163.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 163.15/163.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 163.15/163.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_v_H_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Nitpick_Oone__frac__def,axiom,
% 163.15/163.09 ! [T_a] : c_Nitpick_Oone__frac(T_a) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 163.15/163.09 ! [V_n,T_a] : c_Nitpick_Onumber__of__frac(T_a,V_n) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_n),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Image__singleton__iff,axiom,
% 163.15/163.09 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_norm__frac_Osimps,axiom,
% 163.15/163.09 ! [V_a_2,V_b_2] :
% 163.15/163.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.15/163.09 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 163.15/163.09 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.15/163.09 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_sup2CI,axiom,
% 163.15/163.09 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 163.15/163.09 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 163.15/163.09 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_sup2E,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 163.15/163.09 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_inf2I,axiom,
% 163.15/163.09 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_inf2E,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 163.15/163.09 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 163.15/163.09 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_bot2E,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,T_c,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_sup2I2,axiom,
% 163.15/163.09 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_sup2I1,axiom,
% 163.15/163.09 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_inf2D1,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_inf2D2,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Image__empty,axiom,
% 163.15/163.09 ! [V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Image__Un,axiom,
% 163.15/163.09 ! [V_B_2,V_A_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Image__Int__subset,axiom,
% 163.15/163.09 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Image__mono,axiom,
% 163.15/163.09 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Un__Image,axiom,
% 163.15/163.09 ! [V_A_2,V_S_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_S_2),V_A_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_in__inv__image,axiom,
% 163.15/163.09 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Image__iff,axiom,
% 163.15/163.09 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 163.15/163.09 <=> ? [B_x] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.15/163.09 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_rev__ImageI,axiom,
% 163.15/163.09 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_norm__frac_Opsimps,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.15/163.09 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 163.15/163.09 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.15/163.09 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_of__int__num,axiom,
% 163.15/163.09 ! [V_k_2,T_b] :
% 163.15/163.09 ( class_Rings_Oring__1(T_b)
% 163.15/163.09 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 163.15/163.09 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),T_b),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),tc_Int_Oint),c_COMBB(tc_fun(T_b,T_b),T_b,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,T_b),T_b),tc_Int_Oint),c_HOL_OLet(T_b,T_b)),c_Int_Oring__1__class_Oof__int(T_b)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_b)),tc_Int_Oint),c_COMBS(T_b,T_b,T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),tc_Int_Oint),c_COMBB(T_b,tc_fun(T_b,T_b),T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Oplus__class_Oplus(T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b)))),c_Groups_Oone__class_Oone(T_b))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__extp__max__ext__eq,axiom,
% 163.15/163.09 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 163.15/163.09 ( c_Wellfounded_Omax__extp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_R_2),V_x_2,V_xa_2)
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat__case__add__eq__if,axiom,
% 163.15/163.09 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_split__weak__cong,axiom,
% 163.15/163.09 ! [V_ca_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 163.15/163.09 ( V_p_2 = V_q_2
% 163.15/163.09 => 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) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_prod_Osimps_I2_J,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_split__conv,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_split__twice,axiom,
% 163.15/163.09 ! [V_p_2,V_g_2,T_f,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_prod(T_c,T_d)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(T_f,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_f),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2))),V_g_2)),V_p_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_split__eta,axiom,
% 163.15/163.09 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_d),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_d,T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c))) = V_f_2 ).
% 163.15/163.09
% 163.15/163.09 fof(fact_fst__def,axiom,
% 163.15/163.09 ! [V_p_2,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_b),c_COMBK(T_b,T_c)),V_p_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_snd__def,axiom,
% 163.15/163.09 ! [V_p_2,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_b),hAPP(c_COMBK(tc_fun(T_b,T_b),T_c),c_COMBI(T_b))),V_p_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat__case__0,axiom,
% 163.15/163.09 ! [V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat__case__Suc,axiom,
% 163.15/163.09 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_prod__case__beta,axiom,
% 163.15/163.09 ! [V_p_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_split__comp__eq,axiom,
% 163.15/163.09 ! [V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),tc_prod(T_b,T_c)),V_f_2),hAPP(hAPP(c_COMBB(T_b,T_e,tc_prod(T_b,T_c)),V_g_2),c_Product__Type_Ofst(T_b,T_c)))),c_Product__Type_Osnd(T_b,T_c)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),T_b),V_f_2),V_g_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_split__beta,axiom,
% 163.15/163.09 ! [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)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_split__def,axiom,
% 163.15/163.09 ! [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)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 163.15/163.09 ! [V_n_2,V_m_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 163.15/163.09 <=> hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_diff__Suc,axiom,
% 163.15/163.09 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__Suc1,axiom,
% 163.15/163.09 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),V_m_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__Suc2,axiom,
% 163.15/163.09 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),V_n_2)),V_m_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__int__rel__def,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2] : c_Divides_Odivmod__int__rel(V_a_2,V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fequal,V_a_2))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_2)))))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(c_fNot,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mlex__prod__def,axiom,
% 163.15/163.09 ! [V_R_2,V_f_2,T_b] : c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_b),T_b),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_b,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(tc_Nat_Onat,T_b)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_prod(tc_Nat_Onat,T_b)),T_b),c_Product__Type_OPair(tc_Nat_Onat,T_b)),V_f_2)),c_COMBI(T_b))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat__case__number__of,axiom,
% 163.15/163.09 ! [V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_adjust__def,axiom,
% 163.15/163.09 ! [V_b_2] : c_Divides_Oadjust(V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Nitpick_OFrac__def,axiom,
% 163.15/163.09 c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),c_fequal)),c_Nitpick_Oint__gcd))),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__int__pdivmod,axiom,
% 163.15/163.09 ! [V_l_2,V_k_2] :
% 163.15/163.09 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 163.15/163.09 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) )
% 163.15/163.09 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fdisj,hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l_2)),hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))),hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__int__code,axiom,
% 163.15/163.09 ! [V_l_2,V_k_2] :
% 163.15/163.09 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 163.15/163.09 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) )
% 163.15/163.09 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.15/163.09 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fequal,c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_k_2)),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_of__int,axiom,
% 163.15/163.09 ! [V_j_2,V_i_2,T_b] :
% 163.15/163.09 ( class_Rings_Oring__1(T_b)
% 163.15/163.09 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_j_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mem__splitI,axiom,
% 163.15/163.09 ! [T_d,T_c,V_b_2,V_a_2,V_ca_2,V_z_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_ca_2,V_a_2),V_b_2)))
% 163.15/163.09 => 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_a_2),V_b_2)))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_prod__caseI,axiom,
% 163.15/163.09 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_splitI,axiom,
% 163.15/163.09 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_splitD_H,axiom,
% 163.15/163.09 ! [V_ca_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_ca_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_ca_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_splitD,axiom,
% 163.15/163.09 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_apsnd__conv,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_fst__apsnd,axiom,
% 163.15/163.09 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_b,T_d),V_x_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_snd__apsnd,axiom,
% 163.15/163.09 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_apsnd__eq__conv,axiom,
% 163.15/163.09 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 163.15/163.09 ( hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_g_2),V_x_2)
% 163.15/163.09 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_negateSnd__def,axiom,
% 163.15/163.09 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_rp__inv__image__def,axiom,
% 163.15/163.09 ! [T_c,T_b] : c_FunDef_Orp__inv__image(T_b,T_c) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBS(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(T_c,T_b)),c_Product__Type_OPair(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),c_Relation_Oinv__image(T_b,T_c))))),c_Relation_Oinv__image(T_b,T_c))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_divmod__nat__if,axiom,
% 163.15/163.09 ! [V_m_2,V_n_2] :
% 163.15/163.09 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 163.15/163.09 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2) )
% 163.15/163.09 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 163.15/163.09 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat)),c_Nat_OSuc)),c_Divides_Odivmod__nat(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2),V_n_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_minus,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_y_2),V_x_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Zero__int__def,axiom,
% 163.15/163.09 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_int__def,axiom,
% 163.15/163.09 ! [V_m_2] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_add,axiom,
% 163.15/163.09 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y_2),V_v_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2] : hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_less,axiom,
% 163.15/163.09 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_le,axiom,
% 163.15/163.09 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mult,axiom,
% 163.15/163.09 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_v_2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_u_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_One__int__def,axiom,
% 163.15/163.09 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat__rec__add__eq__if,axiom,
% 163.15/163.09 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 163.15/163.09 ! [V_n_2,T_b] :
% 163.15/163.09 ( class_Rings_Osemiring__1(T_b)
% 163.15/163.09 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_n_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat__rec__number__of,axiom,
% 163.15/163.09 ! [V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),c_Int_Onat)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_dual__max,axiom,
% 163.15/163.09 ! [T_b] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_b)
% 163.15/163.09 => c_Orderings_Oord_Omax(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat__rec__0,axiom,
% 163.15/163.09 ! [V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat__rec__Suc,axiom,
% 163.15/163.09 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 163.15/163.09 ! [V_i_2,V_inc_2,T_b] :
% 163.15/163.09 ( class_Rings_Osemiring__1(T_b)
% 163.15/163.09 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 163.15/163.09 ! [V_i_2,V_n_2,V_inc_2,T_b] :
% 163.15/163.09 ( class_Rings_Osemiring__1(T_b)
% 163.15/163.09 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 163.15/163.09 ! [V_f_2,V_A_2,T_b] :
% 163.15/163.09 ( ! [B_x] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.09 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_irrefl__def,axiom,
% 163.15/163.09 ! [V_r_2,T_b] :
% 163.15/163.09 ( c_Relation_Oirrefl(T_b,V_r_2)
% 163.15/163.09 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 163.15/163.09 ! [V_f_2,V_A_2,T_b] :
% 163.15/163.09 ( ! [B_x] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.09 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_norm__frac_Opinduct,axiom,
% 163.15/163.09 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 163.15/163.09 => ( ! [B_a,B_b] :
% 163.15/163.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.15/163.09 => 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))) )
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 163.15/163.09 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Nitpick_Ofrac__def,axiom,
% 163.15/163.09 ! [V_b,V_a,T_a] : hAPP(hAPP(c_Nitpick_Ofrac(T_a),V_a),V_b) = c_Nitpick_OAbs__Frac(T_a,c_Nitpick_Onorm__frac(V_a,V_b)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_eq__Abs__Integ,axiom,
% 163.15/163.09 ! [V_z_2] :
% 163.15/163.09 ~ ! [B_x,B_y] : V_z_2 != hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_arith__series__int,axiom,
% 163.15/163.09 ! [V_n_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Field__insert,axiom,
% 163.15/163.09 ! [V_r_2,V_b_2,V_a_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_b),V_r_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_finite__lessThan,axiom,
% 163.15/163.09 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_lessThan__0,axiom,
% 163.15/163.09 hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_lessThan__eq__iff,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_b)
% 163.15/163.09 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 163.15/163.09 <=> V_x_2 = V_y_2 ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_card__lessThan,axiom,
% 163.15/163.09 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_u_2)) = V_u_2 ).
% 163.15/163.09
% 163.15/163.09 fof(fact_lessThan__Suc,axiom,
% 163.15/163.09 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_lessThan__iff,axiom,
% 163.15/163.09 ! [V_k_2,V_i_2,T_b] :
% 163.15/163.09 ( class_Orderings_Oord(T_b)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_lessThan__subset__iff,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_b)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__lessThan__Suc,axiom,
% 163.15/163.09 ! [V_n_2,V_f_2,T_b] :
% 163.15/163.09 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_lessThan__strict__subset__iff,axiom,
% 163.15/163.09 ! [V_n_2,V_m_2,T_b] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_b)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_n_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_single__Diff__lessThan,axiom,
% 163.15/163.09 ! [V_k_2,T_b] :
% 163.15/163.09 ( class_Orderings_Oorder(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_finite__nat__set__iff__bounded,axiom,
% 163.15/163.09 ! [V_N_2] :
% 163.15/163.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 163.15/163.09 <=> ? [B_m] :
% 163.15/163.09 ! [B_x] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Field__empty,axiom,
% 163.15/163.09 ! [T_b] : hAPP(c_Relation_OField(T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_mono__Field,axiom,
% 163.15/163.09 ! [V_s_2,V_r_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 163.15/163.09 ! [V_N_2] :
% 163.15/163.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 163.15/163.09 <=> ? [B_m] :
% 163.15/163.09 ! [B_x] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Field__Un,axiom,
% 163.15/163.09 ! [V_s_2,V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_finite__Field,axiom,
% 163.15/163.09 ! [V_r_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 163.15/163.09 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_arith__series__general,axiom,
% 163.15/163.09 ! [V_n_2,V_d_2,V_a_2,T_b] :
% 163.15/163.09 ( class_Rings_Ocomm__semiring__1(T_b)
% 163.15/163.09 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_arith__series__nat,axiom,
% 163.15/163.09 ! [V_n_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_d_2)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_ord_OatMost__iff,axiom,
% 163.15/163.09 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_ord_OatLeast__iff,axiom,
% 163.15/163.09 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_ord_OlessThan__iff,axiom,
% 163.15/163.09 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_ord_OgreaterThan__iff,axiom,
% 163.15/163.09 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 163.15/163.09 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_infinite__UNIV__nat,axiom,
% 163.15/163.09 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 163.15/163.09 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 163.15/163.09 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 163.15/163.09 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 163.15/163.09 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 163.15/163.09 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 163.15/163.09 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 163.15/163.09 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_b,V_less_2,V_l_2,V_u_2)))
% 163.15/163.09 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 163.15/163.09 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 163.15/163.09 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_b,V_less__eq_2,V_l_2,V_u_2)))
% 163.15/163.09 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 163.15/163.09 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__nonneg__0,axiom,
% 163.15/163.09 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 163.15/163.09 ( class_Groups_Oordered__ab__group__add(T_c)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 163.15/163.09 => ( ! [B_i] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 163.15/163.09 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_c)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 163.15/163.09 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_setsum__nonneg__leq__bound,axiom,
% 163.15/163.09 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 163.15/163.09 ( class_Groups_Oordered__ab__group__add(T_c)
% 163.15/163.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 163.15/163.09 => ( ! [B_i] :
% 163.15/163.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 163.15/163.09 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__number__of__Suc,axiom,
% 163.15/163.09 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__Suc__number__of,axiom,
% 163.15/163.09 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_le__max__iff__disj,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_b)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 163.15/163.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 163.15/163.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Ole__supE,axiom,
% 163.15/163.09 ! [V_x,V_b,V_a,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x))
% 163.15/163.09 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.15/163.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup__mono,axiom,
% 163.15/163.09 ! [V_d,V_b,V_c,V_a,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_c),V_d))) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup__least,axiom,
% 163.15/163.09 ! [V_z,V_x,V_y,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Ole__supI,axiom,
% 163.15/163.09 ! [V_b,V_x,V_a,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup__absorb1,axiom,
% 163.15/163.09 ! [V_x,V_y,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup__absorb2,axiom,
% 163.15/163.09 ! [V_y,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Ole__supI2,axiom,
% 163.15/163.09 ! [V_a,V_b,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Ole__supI1,axiom,
% 163.15/163.09 ! [V_b,V_a,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Ole__sup__iff,axiom,
% 163.15/163.09 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_b)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 163.15/163.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 163.15/163.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Ole__iff__sup,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,T_b] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_b)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.15/163.09 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_le__maxI2,axiom,
% 163.15/163.09 ! [V_x,V_y,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_le__maxI1,axiom,
% 163.15/163.09 ! [V_y,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 163.15/163.09 ! [T_b] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_b)
% 163.15/163.09 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__add__distrib__left,axiom,
% 163.15/163.09 ! [V_z,V_y,V_x,T_a] :
% 163.15/163.09 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Oless__supI1,axiom,
% 163.15/163.09 ! [V_b,V_a,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Oless__supI2,axiom,
% 163.15/163.09 ! [V_a,V_b,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_less__max__iff__disj,axiom,
% 163.15/163.09 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_b)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 163.15/163.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 163.15/163.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__less__iff__conj,axiom,
% 163.15/163.09 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_b)
% 163.15/163.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 163.15/163.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 163.15/163.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__diff__distrib__left,axiom,
% 163.15/163.09 ! [V_z,V_y,V_x,T_a] :
% 163.15/163.09 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup_Oidem,axiom,
% 163.15/163.09 ! [V_a,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup_Ocommute,axiom,
% 163.15/163.09 ! [V_b,V_a,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_a) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup__commute,axiom,
% 163.15/163.09 ! [V_y,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 163.15/163.09 ! [V_b,V_a,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup__left__idem,axiom,
% 163.15/163.09 ! [V_y,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 163.15/163.09 ! [V_c,V_a,V_b,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup__left__commute,axiom,
% 163.15/163.09 ! [V_z,V_y,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup_Oassoc,axiom,
% 163.15/163.09 ! [V_c,V_b,V_a,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup__assoc,axiom,
% 163.15/163.09 ! [V_z,V_y,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_Max_Oidem,axiom,
% 163.15/163.09 ! [V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 163.15/163.09 ! [V_x,V_z,V_y,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_z),V_x)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 163.15/163.09 ! [V_x,V_z,V_y,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_z),V_x)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 163.15/163.09 ! [V_z,V_y,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 163.15/163.09 ! [V_z,V_y,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 163.15/163.09 ! [V_y,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = V_x ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Osup__inf__absorb,axiom,
% 163.15/163.09 ! [V_y,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = V_x ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__Suc__Suc,axiom,
% 163.15/163.09 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m),V_n)) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__0L,axiom,
% 163.15/163.09 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__0R,axiom,
% 163.15/163.09 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 163.15/163.09
% 163.15/163.09 fof(fact_sup__nat__def,axiom,
% 163.15/163.09 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_sup__max,axiom,
% 163.15/163.09 ! [T_b] :
% 163.15/163.09 ( ( class_Lattices_Osemilattice__sup(T_b)
% 163.15/163.09 & class_Orderings_Olinorder(T_b) )
% 163.15/163.09 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__number__of,axiom,
% 163.15/163.09 ! [V_v,V_u,T_b] :
% 163.15/163.09 ( ( class_Int_Onumber(T_b)
% 163.15/163.09 & class_Orderings_Oord(T_b) )
% 163.15/163.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) )
% 163.15/163.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 163.15/163.09 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) ) ) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Odistrib__sup__le,axiom,
% 163.15/163.09 ! [V_z,V_y,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_min__max_Odistrib__inf__le,axiom,
% 163.15/163.09 ! [V_z,V_y,V_x,T_a] :
% 163.15/163.09 ( class_Orderings_Olinorder(T_a)
% 163.15/163.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)))) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_minus__max__eq__min,axiom,
% 163.15/163.09 ! [V_y,V_x,T_a] :
% 163.15/163.09 ( class_Groups_Olinordered__ab__group__add(T_a)
% 163.15/163.09 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_minus__min__eq__max,axiom,
% 163.15/163.09 ! [V_y,V_x,T_a] :
% 163.15/163.09 ( class_Groups_Olinordered__ab__group__add(T_a)
% 163.15/163.09 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_nat__minus__add__max,axiom,
% 163.15/163.09 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)),V_m) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),V_m) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__Suc1,axiom,
% 163.15/163.09 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),V_m_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__Suc2,axiom,
% 163.15/163.09 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),V_n_2)),V_m_2) ).
% 163.15/163.09
% 163.15/163.09 fof(fact_max__ord__max,axiom,
% 163.15/163.09 ! [T_b] :
% 163.15/163.09 ( class_Orderings_Oord(T_b)
% 163.15/163.09 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_Ofold__sup__insert,axiom,
% 163.15/163.10 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_dual__min,axiom,
% 163.15/163.10 ! [T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => c_Orderings_Oord_Omin(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 163.15/163.10 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2))) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 163.15/163.10 ! [V_a_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max_Oremove,axiom,
% 163.15/163.10 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 163.15/163.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OInf__le__Sup,axiom,
% 163.15/163.10 ! [V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2))) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 163.15/163.10 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 163.15/163.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_sum__diff__distrib,axiom,
% 163.15/163.10 ! [V_n_2,V_Pa_2,V_Qa_2] :
% 163.15/163.10 ( ! [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)))
% 163.15/163.10 => 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)) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max_Osingleton,axiom,
% 163.15/163.10 ! [V_x_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 163.15/163.10 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max__ge,axiom,
% 163.15/163.10 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2))) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 163.15/163.10 ! [V_x_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max__in,axiom,
% 163.15/163.10 ! [V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max_Oin__idem,axiom,
% 163.15/163.10 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 163.15/163.10 ! [V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max_OF__eq,axiom,
% 163.15/163.10 ! [V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 163.15/163.10 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.15/163.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 163.15/163.10 ! [V_a_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.10 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max__mono,axiom,
% 163.15/163.10 ! [V_N_2,V_M_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 163.15/163.10 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2))) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 163.15/163.10 ! [V_a_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max__insert,axiom,
% 163.15/163.10 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max_Osubset__idem,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.15/163.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max__Un,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 163.15/163.10 ! [V_a_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 163.15/163.10 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 163.15/163.10 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 163.15/163.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.10 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 163.15/163.10 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.10 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max_Oinsert,axiom,
% 163.15/163.10 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max_Oinsert__remove,axiom,
% 163.15/163.10 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 163.15/163.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max_Ounion__disjoint,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max_Ounion__inter,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.15/163.10 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max_Oeq__fold_H,axiom,
% 163.15/163.10 ! [V_x_2,V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.15/163.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 163.15/163.10 ! [V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Max_Oclosed,axiom,
% 163.15/163.10 ! [V_A_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_apfst__apsnd,axiom,
% 163.15/163.10 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2))) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_apsnd__apfst,axiom,
% 163.15/163.10 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_e,T_d),V_x_2))) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_apfst__conv,axiom,
% 163.15/163.10 ! [V_y_2,V_x_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_x_2)),V_y_2) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_apfst__eq__conv,axiom,
% 163.15/163.10 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 163.15/163.10 ( hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_g_2),V_x_2)
% 163.15/163.10 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_fst__apfst,axiom,
% 163.15/163.10 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_snd__apfst,axiom,
% 163.15/163.10 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_d,T_b),V_x_2) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_apsnd__apfst__commute,axiom,
% 163.15/163.10 ! [V_p_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,V_g_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_e,V_f_2),V_p_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_setsum__natinterval__difff,axiom,
% 163.15/163.10 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 163.15/163.10 ( class_Groups_Oab__group__add(T_b)
% 163.15/163.10 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 163.15/163.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_gauss__sum,axiom,
% 163.15/163.10 ! [V_n_2,T_b] :
% 163.15/163.10 ( class_Rings_Ocomm__semiring__1(T_b)
% 163.15/163.10 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Groups_Oone__class_Oone(T_b))) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INFI__fold__inf,axiom,
% 163.15/163.10 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),c_Orderings_Otop__class_Otop(T_c)),V_A_2) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_SUPR__fold__sup,axiom,
% 163.15/163.10 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(T_c)),V_A_2) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_SUP1__I,axiom,
% 163.15/163.10 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__I,axiom,
% 163.15/163.10 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INF1__E,axiom,
% 163.15/163.10 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 163.15/163.10 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 163.15/163.10 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INF1__D,axiom,
% 163.15/163.10 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__D,axiom,
% 163.15/163.10 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__E,axiom,
% 163.15/163.10 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.15/163.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 163.15/163.10 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_SUP2__I,axiom,
% 163.15/163.10 ! [T_d,T_c,V_ca_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2))
% 163.15/163.10 => 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)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INF2__D,axiom,
% 163.15/163.10 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 163.15/163.10 ( 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))
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INF2__E,axiom,
% 163.15/163.10 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 163.15/163.10 ( 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))
% 163.15/163.10 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2))
% 163.15/163.10 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_finite__INT,axiom,
% 163.15/163.10 ! [V_A_2,T_c,V_I_2,T_b] :
% 163.15/163.10 ( ? [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 163.15/163.10 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 163.15/163.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2))) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_finite__atLeastAtMost,axiom,
% 163.15/163.10 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__extend__simps_I5_J,axiom,
% 163.15/163.10 ! [V_B_2,V_C_2,T_c,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__simps_I5_J,axiom,
% 163.15/163.10 ! [V_B_2,V_a_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_finite__UN,axiom,
% 163.15/163.10 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.15/163.10 <=> ! [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.15/163.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UNION__empty__conv_I2_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.10 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 <=> ! [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.15/163.10 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__constant,axiom,
% 163.15/163.10 ! [V_ca_2,T_c,T_b,V_A_2] :
% 163.15/163.10 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => 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)) )
% 163.15/163.10 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => 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 ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__empty2,axiom,
% 163.15/163.10 ! [V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UNION__empty__conv_I1_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.15/163.10 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 163.15/163.10 <=> ! [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.15/163.10 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__extend__simps_I4_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.15/163.10 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 163.15/163.10 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Union__def,axiom,
% 163.15/163.10 ! [V_S_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Pow__INT__eq,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Compl__INT,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Compl__UN,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_SUPR__apply,axiom,
% 163.15/163.10 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.10 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INFI__apply,axiom,
% 163.15/163.10 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.10 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_SUP__commute,axiom,
% 163.15/163.10 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INF__commute,axiom,
% 163.15/163.10 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__extend__simps_I8_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__extend__simps_I8_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__simps_I8_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__simps_I8_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__simps_I7_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__simps_I6_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__extend__simps_I7_J,axiom,
% 163.15/163.10 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__extend__simps_I6_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__iff,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.15/163.10 <=> ? [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.15/163.10 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__iff,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.15/163.10 <=> ! [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__subset__iff,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2))
% 163.15/163.10 <=> ! [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__subset__iff,axiom,
% 163.15/163.10 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)))
% 163.15/163.10 <=> ! [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__Pow__subset,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_vimage__UN,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_vimage__INT,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Image__UN,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_d,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__simps_I5_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__simps_I4_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__Int__distrib,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__extend__simps_I5_J,axiom,
% 163.15/163.10 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Int__UN__distrib,axiom,
% 163.15/163.10 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__extend__simps_I4_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Int__UN__distrib2,axiom,
% 163.15/163.10 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Inter__def,axiom,
% 163.15/163.10 ! [V_S_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.15/163.10 ( c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 163.15/163.10 <=> ! [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.15/163.10 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.10 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 <=> ! [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.15/163.10 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__simps_I4_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.15/163.10 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 163.15/163.10 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Un__INT__distrib2,axiom,
% 163.15/163.10 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__extend__simps_I6_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__Un,axiom,
% 163.15/163.10 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Un__INT__distrib,axiom,
% 163.15/163.10 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__extend__simps_I7_J,axiom,
% 163.15/163.10 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__Un__distrib,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__simps_I6_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__simps_I7_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INF__INT__eq2,axiom,
% 163.15/163.10 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 163.15/163.10 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_SUP__UN__eq2,axiom,
% 163.15/163.10 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 163.15/163.10 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_SUP__le__iff,axiom,
% 163.15/163.10 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_M_2)),V_u_2))
% 163.15/163.10 <=> ! [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_le__INF__iff,axiom,
% 163.15/163.10 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_M_2)))
% 163.15/163.10 <=> ! [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_less__SUP__iff,axiom,
% 163.15/163.10 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 163.15/163.10 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.10 & class_Orderings_Olinorder(T_b) )
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_f_2)))
% 163.15/163.10 <=> ? [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.15/163.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INF__less__iff,axiom,
% 163.15/163.10 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 163.15/163.10 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.15/163.10 & class_Orderings_Olinorder(T_b) )
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_f_2)),V_a_2))
% 163.15/163.10 <=> ? [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.15/163.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__insert__distrib,axiom,
% 163.15/163.10 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__lower,axiom,
% 163.15/163.10 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INF__INT__eq,axiom,
% 163.15/163.10 ! [V_x_2,V_r_2,T_c,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 163.15/163.10 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__absorb,axiom,
% 163.15/163.10 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 163.15/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_SUP__const,axiom,
% 163.15/163.10 ! [V_M_2,T_b,V_A_2,T_c] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.15/163.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INF__const,axiom,
% 163.15/163.10 ! [V_M_2,T_b,V_A_2,T_c] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.15/163.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__insert__distrib,axiom,
% 163.15/163.10 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__constant,axiom,
% 163.15/163.10 ! [V_ca_2,T_c,T_b,V_A_2] :
% 163.15/163.10 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => 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)) )
% 163.15/163.10 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => 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 ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__empty,axiom,
% 163.15/163.10 ! [V_B_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__extend__simps_I2_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.15/163.10 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 163.15/163.10 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__extend__simps_I1_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.15/163.10 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 163.15/163.10 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__upper,axiom,
% 163.15/163.10 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_SUP__UN__eq,axiom,
% 163.15/163.10 ! [V_x_2,V_r_2,T_c,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 163.15/163.10 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__absorb,axiom,
% 163.15/163.10 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 163.15/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__insert,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__simps_I1_J,axiom,
% 163.15/163.10 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 163.15/163.10 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 163.15/163.10 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__singleton,axiom,
% 163.15/163.10 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__extend__simps_I1_J,axiom,
% 163.15/163.10 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 163.15/163.10 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) )
% 163.15/163.10 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__Un,axiom,
% 163.15/163.10 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__extend__simps_I2_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.15/163.10 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 163.15/163.10 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__extend__simps_I3_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.15/163.10 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 163.15/163.10 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__simps_I2_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.15/163.10 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 163.15/163.10 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__simps_I3_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.15/163.10 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 163.15/163.10 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__insert,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Image__INT__subset,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_d,V_r_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)))) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Int__Union,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Int__Union2,axiom,
% 163.15/163.10 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Un__Inter,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_atLeastatMost__empty__iff2,axiom,
% 163.15/163.10 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.10 ( class_Orderings_Oorder(T_b)
% 163.15/163.10 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)
% 163.15/163.10 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_atLeastatMost__empty__iff,axiom,
% 163.15/163.10 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.10 ( class_Orderings_Oorder(T_b)
% 163.15/163.10 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_atLeastatMost__empty,axiom,
% 163.15/163.10 ! [V_a_2,V_b_2,T_b] :
% 163.15/163.10 ( class_Orderings_Oorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 163.15/163.10 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_atLeastatMost__subset__iff,axiom,
% 163.15/163.10 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 163.15/163.10 ( class_Orderings_Oorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)))
% 163.15/163.10 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 163.15/163.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2))
% 163.15/163.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_atLeastAtMost__singleton,axiom,
% 163.15/163.10 ! [V_a_2,T_b] :
% 163.15/163.10 ( class_Orderings_Oorder(T_b)
% 163.15/163.10 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 163.15/163.10 ! [V_ca_2,V_b_2,V_a_2,T_b] :
% 163.15/163.10 ( class_Orderings_Oorder(T_b)
% 163.15/163.10 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_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)))
% 163.15/163.10 <=> ( V_a_2 = V_b_2
% 163.15/163.10 & V_b_2 = V_ca_2 ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_atLeastAtMost__singleton_H,axiom,
% 163.15/163.10 ! [V_b_2,V_a_2,T_b] :
% 163.15/163.10 ( class_Orderings_Oorder(T_b)
% 163.15/163.10 => ( V_a_2 = V_b_2
% 163.15/163.10 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_vimage__Union,axiom,
% 163.15/163.10 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_b,T_c,V_f_2)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 163.15/163.10 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 163.15/163.10 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.15/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 163.15/163.10 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 163.15/163.10 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.15/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_UN__lessThan__UNIV,axiom,
% 163.15/163.10 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INF__subset,axiom,
% 163.15/163.10 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2))) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_SUP__subset,axiom,
% 163.15/163.10 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_B_2),V_f_2))) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__simps_I2_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.15/163.10 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 163.15/163.10 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__simps_I1_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.15/163.10 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 163.15/163.10 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__simps_I3_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.15/163.10 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 163.15/163.10 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INT__extend__simps_I3_J,axiom,
% 163.15/163.10 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.15/163.10 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_B_2) )
% 163.15/163.10 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.15/163.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Image__eq__UN,axiom,
% 163.15/163.10 ! [V_B_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Relation_OImage(T_c,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_vimage__eq__UN,axiom,
% 163.15/163.10 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Ovimage(T_b,T_c,V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_card__atLeastAtMost,axiom,
% 163.15/163.10 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_u_2)),V_l_2) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_atLeastAtMostSuc__conv,axiom,
% 163.15/163.10 ! [V_n_2,V_m_2] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 163.15/163.10 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_INF__leI,axiom,
% 163.15/163.10 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_le__SUPI,axiom,
% 163.15/163.10 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 163.15/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_M_2))) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 163.15/163.10 ! [V_k_2,V_f_2] :
% 163.15/163.10 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.15/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_Int__atLeastAtMost,axiom,
% 163.15/163.10 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 163.15/163.10 ( class_Orderings_Olinorder(T_b)
% 163.15/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_atLeastatMost__psubset__iff,axiom,
% 163.15/163.10 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 163.15/163.10 ( class_Orderings_Oorder(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)))
% 163.15/163.10 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 163.15/163.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2))
% 163.15/163.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 163.15/163.10 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_a_2))
% 163.15/163.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 163.15/163.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_d_2)) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_ivl__disj__int_I4_J,axiom,
% 163.15/163.10 ! [V_u_2,V_l_2,T_b] :
% 163.15/163.10 ( class_Orderings_Oorder(T_b)
% 163.15/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_setsum__head__Suc,axiom,
% 163.15/163.10 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 163.15/163.10 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.15/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_setsum__cl__ivl__Suc,axiom,
% 163.15/163.10 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 163.15/163.10 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.15/163.10 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 163.15/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 163.15/163.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 163.15/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_sup__SUPR__fold__sup,axiom,
% 163.15/163.10 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_inf__INFI__fold__inf,axiom,
% 163.15/163.10 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 163.15/163.10 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.15/163.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.15/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_setsum__ub__add__nat,axiom,
% 163.15/163.10 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] :
% 163.15/163.10 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.15/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 163.15/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2)))) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_minus__int__def,axiom,
% 163.15/163.10 ! [V_z_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_2) = hAPP(c_Int_OAbs__Integ,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_Nat_Onat),c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)))),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat))))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))))) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_ex__nat__less,axiom,
% 163.15/163.10 ! [V_Pa_2,V_n_2] :
% 163.15/163.10 ( ? [B_m] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 163.15/163.10 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 163.15/163.10 <=> ? [B_x] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)))
% 163.15/163.10 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 163.15/163.10
% 163.15/163.10 fof(fact_all__nat__less,axiom,
% 163.15/163.10 ! [V_Pa_2,V_n_2] :
% 163.15/163.10 ( ! [B_m] :
% 163.15/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 163.15/163.10 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 163.15/163.10 <=> ! [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)))
% 163.42/163.10 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_nat__def,axiom,
% 163.42/163.10 ! [V_z_2] : hAPP(c_Int_Onat,V_z_2) = c_Set_Othe__elem(tc_Nat_Onat,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_Nat_Onat))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_SUP2__iff,axiom,
% 163.42/163.10 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 163.42/163.10 ( 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))
% 163.42/163.10 <=> ? [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.10 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_INF2__iff,axiom,
% 163.42/163.10 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 163.42/163.10 ( 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))
% 163.42/163.10 <=> ! [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_SUP1__iff,axiom,
% 163.42/163.10 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 163.42/163.10 <=> ? [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.10 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_INF1__iff,axiom,
% 163.42/163.10 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 163.42/163.10 <=> ! [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__UN__flatten,axiom,
% 163.42/163.10 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__simps_I9_J,axiom,
% 163.42/163.10 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_INT__simps_I9_J,axiom,
% 163.42/163.10 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__extend__simps_I9_J,axiom,
% 163.42/163.10 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_INT__extend__simps_I9_J,axiom,
% 163.42/163.10 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ball__UN,axiom,
% 163.42/163.10 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] :
% 163.42/163.10 ( ! [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.42/163.10 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.10 <=> ! [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.42/163.10 => ! [B_xa] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 163.42/163.10 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Rep__Integ__inject,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2] :
% 163.42/163.10 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 163.42/163.10 <=> V_x_2 = V_y_2 ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Rep__Integ__inverse,axiom,
% 163.42/163.10 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 163.42/163.10
% 163.42/163.10 fof(fact_simp__from__to,axiom,
% 163.42/163.10 ! [V_i_2,V_j_2] :
% 163.42/163.10 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 163.42/163.10 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) )
% 163.42/163.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 163.42/163.10 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint),V_i_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_card__atLeastAtMost__int,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_aset_I6_J,axiom,
% 163.42/163.10 ! [V_A_2,V_t_2,V_D_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 163.42/163.10 => ! [B_x] :
% 163.42/163.10 ( ! [B_xa] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 163.42/163.10 => ! [B_xb] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.42/163.10 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_bset_I8_J,axiom,
% 163.42/163.10 ! [V_B_2,V_t_2,V_D_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 163.42/163.10 => ! [B_x] :
% 163.42/163.10 ( ! [B_xa] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 163.42/163.10 => ! [B_xb] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.42/163.10 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_aset_I8_J,axiom,
% 163.42/163.10 ! [V_t_2,V_A_2,V_D_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.42/163.10 => ! [B_x] :
% 163.42/163.10 ( ! [B_xa] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 163.42/163.10 => ! [B_xb] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.42/163.10 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_finite__atLeastAtMost__int,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_aset_I4_J,axiom,
% 163.42/163.10 ! [V_A_2,V_t_2,V_D_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 163.42/163.10 => ! [B_x] :
% 163.42/163.10 ( ! [B_xa] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 163.42/163.10 => ! [B_xb] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.42/163.10 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.42/163.10 => ( B_x != V_t_2
% 163.42/163.10 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_bset_I4_J,axiom,
% 163.42/163.10 ! [V_B_2,V_t_2,V_D_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 163.42/163.10 => ! [B_x] :
% 163.42/163.10 ( ! [B_xa] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 163.42/163.10 => ! [B_xb] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.42/163.10 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.42/163.10 => ( B_x != V_t_2
% 163.42/163.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_bset_I7_J,axiom,
% 163.42/163.10 ! [V_B_2,V_t_2,V_D_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 163.42/163.10 => ! [B_x] :
% 163.42/163.10 ( ! [B_xa] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 163.42/163.10 => ! [B_xb] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.42/163.10 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_infinite__UNIV__int,axiom,
% 163.42/163.10 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_bset_I3_J,axiom,
% 163.42/163.10 ! [V_B_2,V_t_2,V_D_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 163.42/163.10 => ( ! [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 163.42/163.10 => ! [B_xa] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 163.42/163.10 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 163.42/163.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_aset_I3_J,axiom,
% 163.42/163.10 ! [V_A_2,V_t_2,V_D_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 163.42/163.10 => ( ! [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 163.42/163.10 => ! [B_xa] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 163.42/163.10 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 163.42/163.10 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_aset_I5_J,axiom,
% 163.42/163.10 ! [V_A_2,V_t_2,V_D_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 163.42/163.10 => ! [B_x] :
% 163.42/163.10 ( ! [B_xa] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 163.42/163.10 => ! [B_xb] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.42/163.10 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_bset_I6_J,axiom,
% 163.42/163.10 ! [V_t_2,V_B_2,V_D_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.42/163.10 => ! [B_x] :
% 163.42/163.10 ( ! [B_xa] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 163.42/163.10 => ! [B_xb] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.42/163.10 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_periodic__finite__ex,axiom,
% 163.42/163.10 ! [V_Pa_2,V_d_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 163.42/163.10 => ( ! [B_x,B_k] :
% 163.42/163.10 ( hBOOL(hAPP(V_Pa_2,B_x))
% 163.42/163.10 <=> 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)))) )
% 163.42/163.10 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 163.42/163.10 <=> ? [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_d_2)))
% 163.42/163.10 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_aset_I7_J,axiom,
% 163.42/163.10 ! [V_t_2,V_A_2,V_D_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.42/163.10 => ! [B_x] :
% 163.42/163.10 ( ! [B_xa] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 163.42/163.10 => ! [B_xb] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.42/163.10 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_bset_I5_J,axiom,
% 163.42/163.10 ! [V_t_2,V_B_2,V_D_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.42/163.10 => ! [B_x] :
% 163.42/163.10 ( ! [B_xa] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 163.42/163.10 => ! [B_xb] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.42/163.10 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_card__greaterThanLessThan__int,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Id__on__def,axiom,
% 163.42/163.10 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_finite__greaterThanLessThan__int,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Id__on__def_H,axiom,
% 163.42/163.10 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),c_fequal))),V_A_2)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_greaterThanLessThan__empty,axiom,
% 163.42/163.10 ! [V_k_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 163.42/163.10 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Id__on__empty,axiom,
% 163.42/163.10 ! [T_b] : c_Relation_OId__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Image__Id__on,axiom,
% 163.42/163.10 ! [V_B_2,V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__int_I13_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__int_I12_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Int__greaterThanLessThan,axiom,
% 163.42/163.10 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Id__on__iff,axiom,
% 163.42/163.10 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2)))
% 163.42/163.10 <=> ( V_x_2 = V_y_2
% 163.42/163.10 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Id__on__eqI,axiom,
% 163.42/163.10 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 163.42/163.10 ( V_a_2 = V_b_2
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__le__eq__Un0,axiom,
% 163.42/163.10 ! [V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I19_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I4_J,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_finite__greaterThanAtMost,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_finite__greaterThanLessThan,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_finite__greaterThanAtMost__int,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_finite__atMost,axiom,
% 163.42/163.10 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__int_I3_J,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I9_J,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atMost__eq__iff,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 163.42/163.10 <=> V_x_2 = V_y_2 ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_greaterThanAtMost__empty,axiom,
% 163.42/163.10 ! [V_k_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 163.42/163.10 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 163.42/163.10 ! [V_l_2,V_k_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2)
% 163.42/163.10 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 163.42/163.10 ! [V_l_2,V_k_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.10 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeast0AtMost,axiom,
% 163.42/163.10 ! [V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I20_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__int_I14_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_lessThan__Suc__atMost,axiom,
% 163.42/163.10 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_card__atMost,axiom,
% 163.42/163.10 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_u_2)) = hAPP(c_Nat_OSuc,V_u_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atMost__Suc,axiom,
% 163.42/163.10 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atMost__iff,axiom,
% 163.42/163.10 ! [V_k_2,V_i_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oord(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 163.42/163.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atMost__subset__iff,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)))
% 163.42/163.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_card__greaterThanAtMost,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I22_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__int_I16_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__atMost__UNIV,axiom,
% 163.42/163.10 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Int__greaterThanAtMost,axiom,
% 163.42/163.10 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_setsum__atMost__Suc,axiom,
% 163.42/163.10 ! [V_n_2,V_f_2,T_b] :
% 163.42/163.10 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atMost__0,axiom,
% 163.42/163.10 hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__int_I10_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_card__greaterThanLessThan,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),hAPP(c_Nat_OSuc,V_l_2)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Int__atLeastAtMostR1,axiom,
% 163.42/163.10 ! [V_d_2,V_ca_2,V_b_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => 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)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Int__atLeastAtMostL1,axiom,
% 163.42/163.10 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_card__greaterThanAtMost__int,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__le__add__shift,axiom,
% 163.42/163.10 ! [V_k_2,V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))),V_M_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__int_I1_J,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I16_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_setsum__head,axiom,
% 163.42/163.10 ! [V_Pa_2,V_n_2,V_m_2,T_b] :
% 163.42/163.10 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.42/163.10 => 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))) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I2_J,axiom,
% 163.42/163.10 ! [V_u_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I10_J,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I7_J,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I5_J,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_quotient__def,axiom,
% 163.42/163.10 ! [V_r_2,V_A_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Id__onE,axiom,
% 163.42/163.10 ! [V_A_2,V_ca_2,T_b] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_ca_2),c_Relation_OId__on(T_b,V_A_2)))
% 163.42/163.10 => ~ ! [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.10 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ImageE,axiom,
% 163.42/163.10 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 163.42/163.10 => ~ ! [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2))
% 163.42/163.10 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_quotient__is__empty,axiom,
% 163.42/163.10 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 163.42/163.10 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_quotient__is__empty2,axiom,
% 163.42/163.10 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)
% 163.42/163.10 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_quotient__empty,axiom,
% 163.42/163.10 ! [V_r_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_quotientI,axiom,
% 163.42/163.10 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_singleton__quotient,axiom,
% 163.42/163.10 ! [V_r_2,V_x_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_equiv__class__nondisjoint,axiom,
% 163.42/163.10 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_subset__equiv__class,axiom,
% 163.42/163.10 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_quotientE,axiom,
% 163.42/163.10 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 163.42/163.10 => ~ ! [B_x] :
% 163.42/163.10 ( V_X_2 = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 163.42/163.10 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_equiv__intrel,axiom,
% 163.42/163.10 c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Int_Ointrel) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Union__quotient,axiom,
% 163.42/163.10 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = V_A_2 ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_equiv__class__self,axiom,
% 163.42/163.10 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_quotient__disj,axiom,
% 163.42/163.10 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 163.42/163.10 => ( V_X_2 = V_Y_2
% 163.42/163.10 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_equiv__class__eq,axiom,
% 163.42/163.10 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 163.42/163.10 => hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_quotient__eq__iff,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 163.42/163.10 => ( V_X_2 = V_Y_2
% 163.42/163.10 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_quotient__eqI,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 163.42/163.10 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_equiv__class__eq__iff,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 163.42/163.10 <=> ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 163.42/163.10 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.10 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_eq__equiv__class__iff,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 163.42/163.10 => ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 163.42/163.10 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_eq__equiv__class,axiom,
% 163.42/163.10 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 163.42/163.10 ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 163.42/163.10 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_equiv__class__subset,axiom,
% 163.42/163.10 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_eq__equiv__class__iff2,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 163.42/163.10 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)
% 163.42/163.10 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__equiv__class2,axiom,
% 163.42/163.10 ! [V_a2_2,V_a1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 163.42/163.10 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 163.42/163.10 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 163.42/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__equiv__class,axiom,
% 163.42/163.10 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.42/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_equivp__equiv,axiom,
% 163.42/163.10 ! [V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 163.42/163.10 <=> c_Equiv__Relations_Oequivp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_A_2)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_equivp__transp,axiom,
% 163.42/163.10 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_equivp__symp,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_equivp__reflp,axiom,
% 163.42/163.10 ! [V_x_2,V_R_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.42/163.10 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_equivp__def,axiom,
% 163.42/163.10 ! [V_R_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.42/163.10 <=> ! [B_x,B_y] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 163.42/163.10 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_identity__equivp,axiom,
% 163.42/163.10 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_congruent2__implies__congruent,axiom,
% 163.42/163.10 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 163.42/163.10 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.42/163.10 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_congruent2D,axiom,
% 163.42/163.10 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_d,T_c,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y1_2),V_z1_2)),V_r1_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y2_2),V_z2_2)),V_r2_2))
% 163.42/163.10 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_congruentD,axiom,
% 163.42/163.10 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_r_2))
% 163.42/163.10 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_congruent2__implies__congruent__UN,axiom,
% 163.42/163.10 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 163.42/163.10 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 163.42/163.10 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 163.42/163.10 => c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_d,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__equiv__class__inject,axiom,
% 163.42/163.10 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 163.42/163.10 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_Y_2),V_f_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 163.42/163.10 => ( ! [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.10 => ! [B_y] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 163.42/163.10 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) )
% 163.42/163.10 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__equiv__class__type2,axiom,
% 163.42/163.10 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 163.42/163.10 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 163.42/163.10 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A1_2),V_r1_2)))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A2_2),V_r2_2)))
% 163.42/163.10 => ( ! [B_x1] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 163.42/163.10 => ! [B_x2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__equiv__class__type,axiom,
% 163.42/163.10 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.10 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 163.42/163.10 => ( ! [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Integ__def,axiom,
% 163.42/163.10 c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Int_Ointrel) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_card__quotient__disjoint,axiom,
% 163.42/163.10 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.10 => ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 163.42/163.10 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_geometric__sum,axiom,
% 163.42/163.10 ! [V_n_2,V_x_2,T_b] :
% 163.42/163.10 ( class_Fields_Ofield(T_b)
% 163.42/163.10 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_finite__atLeastLessThan,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastLessThan__eq__iff,axiom,
% 163.42/163.10 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2))
% 163.42/163.10 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)
% 163.42/163.10 <=> ( V_a_2 = V_ca_2
% 163.42/163.10 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 163.42/163.10 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2))
% 163.42/163.10 => V_a_2 = V_ca_2 ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 163.42/163.10 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2))
% 163.42/163.10 => V_b_2 = V_d_2 ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ex__nat__less__eq,axiom,
% 163.42/163.10 ! [V_Pa_2,V_n_2] :
% 163.42/163.10 ( ? [B_m] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 163.42/163.10 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 163.42/163.10 <=> ? [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)))
% 163.42/163.10 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_all__nat__less__eq,axiom,
% 163.42/163.10 ! [V_Pa_2,V_n_2] :
% 163.42/163.10 ( ! [B_m] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 163.42/163.10 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 163.42/163.10 <=> ! [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)))
% 163.42/163.10 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastLessThan__add__Un,axiom,
% 163.42/163.10 ! [V_k_2,V_j_2,V_i_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.42/163.10 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2))) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),hAPP(c_Nat_OSuc,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastLessThan0,axiom,
% 163.42/163.10 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeast0LessThan,axiom,
% 163.42/163.10 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_subset__card__intvl__is__intvl,axiom,
% 163.42/163.10 ! [V_k_2,V_A_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2)))))
% 163.42/163.10 => V_A_2 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2))) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_card__atLeastLessThan,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastLessThan__empty,axiom,
% 163.42/163.10 ! [V_a_2,V_b_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 163.42/163.10 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 163.42/163.10 ! [V_b_2,V_a_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)
% 163.42/163.10 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastLessThan__empty__iff,axiom,
% 163.42/163.10 ! [V_b_2,V_a_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.10 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastLessThan__subset__iff,axiom,
% 163.42/163.10 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 163.42/163.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2))
% 163.42/163.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 163.42/163.10 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 163.42/163.10 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I17_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 163.42/163.10 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 163.42/163.10 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__diff,axiom,
% 163.42/163.10 ! [V_m_2,V_n_2,V_i_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2))
% 163.42/163.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_n_2),V_m_2) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__int_I11_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_finite__vimageI,axiom,
% 163.42/163.10 ! [V_h_2,T_c,V_F_2,T_b] :
% 163.42/163.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.42/163.10 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_setsum__add__nat__ivl,axiom,
% 163.42/163.10 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 163.42/163.10 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 163.42/163.10 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_setsum__diff__nat__ivl,axiom,
% 163.42/163.10 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 163.42/163.10 ( class_Groups_Oab__group__add(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 163.42/163.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastLessThan__singleton,axiom,
% 163.42/163.10 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_m_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_m_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Rep__Integ,axiom,
% 163.42/163.10 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_x_2)),c_Int_OInteg)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__UN__finite__eq,axiom,
% 163.42/163.10 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I21_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__int_I15_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_Int__atLeastLessThan,axiom,
% 163.42/163.10 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I8_J,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__int_I2_J,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__int_I9_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 163.42/163.10 ! [V_k_2,V_f_2,T_b] :
% 163.42/163.10 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.10 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_setsum__head__upt__Suc,axiom,
% 163.42/163.10 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 163.42/163.10 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.42/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastLessThanSuc,axiom,
% 163.42/163.10 ! [V_n_2,V_m_2] :
% 163.42/163.10 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.42/163.10 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_n_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) )
% 163.42/163.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.42/163.10 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_setsum__op__ivl__Suc,axiom,
% 163.42/163.10 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 163.42/163.10 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.10 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 163.42/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 163.42/163.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 163.42/163.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(V_f_2,V_n_2)) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I15_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_quotient__diff1,axiom,
% 163.42/163.10 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 163.42/163.10 ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.42/163.10 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I6_J,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I3_J,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_ivl__disj__un_I18_J,axiom,
% 163.42/163.10 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.42/163.10 ( class_Orderings_Olinorder(T_b)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__uminus,axiom,
% 163.42/163.10 ! [V_A_2,T_b] :
% 163.42/163.10 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.42/163.10 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__on__empty,axiom,
% 163.42/163.10 ! [V_f_2,T_c,T_b] : c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__singleton,axiom,
% 163.42/163.10 ! [T_b] : c_Fun_Oinj__on(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_finite__atLeastLessThan__int,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__on__add__nat,axiom,
% 163.42/163.10 ! [V_N_2,V_k_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2),V_N_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__Suc,axiom,
% 163.42/163.10 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__of__nat,axiom,
% 163.42/163.10 ! [T_b] :
% 163.42/163.10 ( class_Nat_Osemiring__char__0(T_b)
% 163.42/163.10 => c_Fun_Oinj__on(tc_Nat_Onat,T_b,c_Nat_Osemiring__1__class_Oof__nat(T_b),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__int,axiom,
% 163.42/163.10 c_Fun_Oinj__on(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_swap__inj__on,axiom,
% 163.42/163.10 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(tc_prod(T_b,T_c),tc_prod(T_c,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_c,T_b)),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))),V_A_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 163.42/163.10 ! [V_u_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__on__def,axiom,
% 163.42/163.10 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.10 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.10 <=> ! [B_x] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.10 => ! [B_xa] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 163.42/163.10 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 163.42/163.10 => B_x = B_xa ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_u_2),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 163.42/163.10 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) = hAPP(c_Int_Onat,V_u_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_card__atLeastLessThan__int,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 163.42/163.10 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__on__id2,axiom,
% 163.42/163.10 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_vimage__ident,axiom,
% 163.42/163.10 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__onD,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.10 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.10 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 163.42/163.10 => V_x_2 = V_y_2 ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__on__iff,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.10 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 163.42/163.10 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 163.42/163.10 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__on__contraD,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.10 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.10 => ( V_x_2 != V_y_2
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 163.42/163.10 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_subset__inj__on,axiom,
% 163.42/163.10 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 163.42/163.10 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.42/163.10 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__eq,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 163.42/163.10 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.10 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 163.42/163.10 <=> V_x_2 = V_y_2 ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_injD,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 163.42/163.10 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.10 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 163.42/163.10 => V_x_2 = V_y_2 ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__on__Int,axiom,
% 163.42/163.10 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.10 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.10 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.42/163.10 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__on__diff,axiom,
% 163.42/163.10 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.10 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.10 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__fun,axiom,
% 163.42/163.10 ! [T_d,V_f_2,T_c,T_b] :
% 163.42/163.10 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.10 => c_Fun_Oinj__on(T_b,tc_fun(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_c),T_b),c_COMBK(T_c,T_d)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_inj__vimage__singleton,axiom,
% 163.42/163.10 ! [V_a_2,V_f_2,T_c,T_b] :
% 163.42/163.10 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__finite2__subset,axiom,
% 163.42/163.10 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 163.42/163.10 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__finite2__eq,axiom,
% 163.42/163.10 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 163.42/163.10 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)
% 163.42/163.10 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_The__split__eq,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_split__paired__The,axiom,
% 163.42/163.10 ! [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)))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_fold__def,axiom,
% 163.42/163.10 ! [V_A_2,V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold__graph(T_c,T_b,V_f_2,V_z_2,V_A_2)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_divmod__nat__def,axiom,
% 163.42/163.10 ! [V_n_2,V_m_2] : c_Divides_Odivmod__nat(V_m_2,V_n_2) = c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(V_m_2,V_n_2)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_fold1__def,axiom,
% 163.42/163.10 ! [V_A_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2)) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_The__split,axiom,
% 163.42/163.10 ! [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))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_the__elem__def,axiom,
% 163.42/163.10 ! [V_X_2,T_b] : c_Set_Othe__elem(T_b,V_X_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_flat__lub__def,axiom,
% 163.42/163.10 ! [V_b_2,V_A_2,T_b] :
% 163.42/163.10 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 163.42/163.10 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 163.42/163.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 163.42/163.10 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_UN__finite__subset,axiom,
% 163.42/163.10 ! [V_C_2,V_A_2,T_b] :
% 163.42/163.10 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_type__definition__Integ,axiom,
% 163.42/163.10 c_Typedef_Otype__definition(tc_Int_Oint,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Int_ORep__Integ,c_Int_OAbs__Integ,c_Int_OInteg) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_type__definition_OAbs__inject,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 163.42/163.10 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 163.42/163.10 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 163.42/163.10 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_type__definition_OAbs__inverse,axiom,
% 163.42/163.10 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 163.42/163.10 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 163.42/163.10 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_type__definition_ORep,axiom,
% 163.42/163.10 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 163.42/163.10 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_type__definition_ORep__inverse,axiom,
% 163.42/163.10 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 163.42/163.10 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 163.42/163.10 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_type__definition_ORep__inject,axiom,
% 163.42/163.10 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 163.42/163.10 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 163.42/163.10 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 163.42/163.10 <=> V_x_2 = V_y_2 ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 163.42/163.10 ! [V_x_2,V_y_2,V_ca_2] :
% 163.42/163.10 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2))
% 163.42/163.10 => 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)) )
% 163.42/163.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2))
% 163.42/163.10 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 163.42/163.10 => 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))) )
% 163.42/163.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 163.42/163.10 => 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)) ) ) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 163.42/163.10 ! [V_u_2] :
% 163.42/163.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 163.42/163.10 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Int_Onat,V_u_2))) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_atMost__Int__atLeast,axiom,
% 163.42/163.10 ! [V_n_2,T_b] :
% 163.42/163.10 ( class_Orderings_Oorder(T_b)
% 163.42/163.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_image__eqI,axiom,
% 163.42/163.10 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 163.42/163.10 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 163.42/163.10 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 163.42/163.10 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_finite__imageI,axiom,
% 163.42/163.10 ! [V_h_2,T_c,V_F_2,T_b] :
% 163.42/163.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.42/163.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_range__composition,axiom,
% 163.42/163.10 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBB(T_d,T_b,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_image__uminus__atLeast,axiom,
% 163.42/163.10 ! [V_x_2,T_b] :
% 163.42/163.10 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.42/163.10 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 163.42/163.10
% 163.42/163.10 fof(fact_image__uminus__atMost,axiom,
% 163.42/163.10 ! [V_x_2,T_b] :
% 163.42/163.10 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__insert,axiom,
% 163.42/163.11 ! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_empty__is__image,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)
% 163.42/163.11 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__empty,axiom,
% 163.42/163.11 ! [V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__is__empty,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_b,T_c] :
% 163.42/163.11 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_atLeast__eq__iff,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 163.42/163.11 <=> V_x_2 = V_y_2 ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2] :
% 163.42/163.11 ( V_A_2 = V_B_2
% 163.42/163.11 <=> hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__Pow__surj,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 163.42/163.11 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 163.42/163.11 => hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2)) = hAPP(c_Set_OPow(T_b),V_B_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__image,axiom,
% 163.42/163.11 ! [V_A_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_d,T_b,hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_f_2),V_g_2)),V_A_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_INT__extend__simps_I10_J,axiom,
% 163.42/163.11 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_INT__simps_I10_J,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_UN__simps_I10_J,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__UN,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Oimage(T_c,T_b,V_f_2)),V_B_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_UN__extend__simps_I10_J,axiom,
% 163.42/163.11 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__ident,axiom,
% 163.42/163.11 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__mono,axiom,
% 163.42/163.11 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_subset__image__iff,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 163.42/163.11 <=> ? [B_AA] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 163.42/163.11 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__Pow__mono,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2))),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__Un,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__iff,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 163.42/163.11 <=> ? [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.42/163.11 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_imageI,axiom,
% 163.42/163.11 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_rev__image__eqI,axiom,
% 163.42/163.11 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.11 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_insert__image,axiom,
% 163.42/163.11 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.11 => hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_range__eqI,axiom,
% 163.42/163.11 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 163.42/163.11 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_rangeI,axiom,
% 163.42/163.11 ! [T_c,V_x_2,V_f_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__surj,axiom,
% 163.42/163.11 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__Int__subset,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__imageD,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 163.42/163.11 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__diff__subset,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__image__eq__iff,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.11 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 163.42/163.11 <=> V_A_2 = V_B_2 ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.42/163.11 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 163.42/163.11 <=> V_A_2 = V_B_2 ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__uminus__atLeastAtMost,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2,T_b] :
% 163.42/163.11 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_card__image,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.11 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__vimage__subset,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))),V_A_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_surj__image__vimage__eq,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_b,T_c] :
% 163.42/163.11 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__Suc__atLeastLessThan,axiom,
% 163.42/163.11 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2)),hAPP(c_Nat_OSuc,V_j_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_type__definition_OAbs__image,axiom,
% 163.42/163.11 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 163.42/163.11 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 163.42/163.11 => hAPP(c_Set_Oimage(T_c,T_b,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_type__definition_ORep__range,axiom,
% 163.42/163.11 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 163.42/163.11 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_c,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__Suc__atLeastAtMost,axiom,
% 163.42/163.11 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2),hAPP(c_Nat_OSuc,V_j_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2,T_b] :
% 163.42/163.11 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__on__strict__subset,axiom,
% 163.42/163.11 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__constant__conv,axiom,
% 163.42/163.11 ! [V_ca_2,T_c,T_b,V_A_2] :
% 163.42/163.11 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => 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)) )
% 163.42/163.11 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => 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))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__range__imageI,axiom,
% 163.42/163.11 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,hAPP(hAPP(c_COMBB(T_b,T_d,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 163.42/163.11 ! [V_A_2,V_x_2] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_b] :
% 163.42/163.11 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.11 & class_Groups_Ocomm__monoid__mult(T_b) )
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__add__atLeastLessThan,axiom,
% 163.42/163.11 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__add__atLeastAtMost,axiom,
% 163.42/163.11 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__Union,axiom,
% 163.42/163.11 ! [V_S_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_c,T_b,V_f_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_range__ex1__eq,axiom,
% 163.42/163.11 ! [V_b_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 163.42/163.11 <=> ? [B_x] :
% 163.42/163.11 ( V_b_2 = hAPP(V_f_2,B_x)
% 163.42/163.11 & ! [B_y] :
% 163.42/163.11 ( V_b_2 = hAPP(V_f_2,B_y)
% 163.42/163.11 => B_y = B_x ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__image__mem__iff,axiom,
% 163.42/163.11 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__on__iff__surj,axiom,
% 163.42/163.11 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 163.42/163.11 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => ( ? [B_f] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 163.42/163.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) )
% 163.42/163.11 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__surj__inj,axiom,
% 163.42/163.11 ! [V_f_2,V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)))
% 163.42/163.11 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_endo__inj__surj,axiom,
% 163.42/163.11 ! [V_f_2,V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)),V_A_2))
% 163.42/163.11 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__UNIV__surj__inj,axiom,
% 163.42/163.11 ! [V_f_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 163.42/163.11 => ( hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__UNIV__inj__surj,axiom,
% 163.42/163.11 ! [V_f_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 163.42/163.11 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_card__image__le,axiom,
% 163.42/163.11 ! [V_f_2,T_c,V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__image__subset__iff,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__on__image__Int,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__Int,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_eq__card__imp__inj__on,axiom,
% 163.42/163.11 ! [V_f_2,T_c,V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2)
% 163.42/163.11 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__on__iff__eq__card,axiom,
% 163.42/163.11 ! [V_f_2,T_c,V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.11 <=> hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__on__image__set__diff,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__set__diff,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_pigeonhole,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)))
% 163.42/163.11 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__vimageD,axiom,
% 163.42/163.11 ! [V_F_2,V_h_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 163.42/163.11 => ( hAPP(c_Set_Oimage(T_b,T_c,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_atLeast__iff,axiom,
% 163.42/163.11 ! [V_k_2,V_i_2,T_b] :
% 163.42/163.11 ( class_Orderings_Oord(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_surj__Compl__image__subset,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_b,T_c] :
% 163.42/163.11 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_vimage__subsetD,axiom,
% 163.42/163.11 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 163.42/163.11 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2)),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__vimage__eq,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__vimage__image__eq,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.11 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_atLeast__subset__iff,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2,T_b] :
% 163.42/163.11 ( class_Orderings_Oorder(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_atLeast__0,axiom,
% 163.42/163.11 hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2,T_b] :
% 163.42/163.11 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__uminus__atLeastLessThan,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2,T_b] :
% 163.42/163.11 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__constant,axiom,
% 163.42/163.11 ! [V_ca_2,T_c,V_A_2,V_x_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.11 => 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))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__eq__UN,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_b] :
% 163.42/163.11 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.11 & class_Groups_Ocomm__monoid__mult(T_b) )
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Compl__atLeast,axiom,
% 163.42/163.11 ! [V_k_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Compl__lessThan,axiom,
% 163.42/163.11 ! [V_k_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 163.42/163.11 ! [V_A_2] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 163.42/163.11 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 163.42/163.11 ! [V_A_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 163.42/163.11 c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_card__bij__eq,axiom,
% 163.42/163.11 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 163.42/163.11 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.42/163.11 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__image__Compl__subset,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_vimage__subsetI,axiom,
% 163.42/163.11 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__eq__fold__image,axiom,
% 163.42/163.11 ! [V_f_2,T_c,V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_c,tc_HOL_Obool),T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 163.42/163.11 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_ivl__disj__un_I14_J,axiom,
% 163.42/163.11 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_ivl__disj__int_I8_J,axiom,
% 163.42/163.11 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.11 ( class_Orderings_Oorder(T_b)
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Int__atLeastAtMostL2,axiom,
% 163.42/163.11 ! [V_ca_2,V_b_2,V_a_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_ca_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),V_b_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Int__atLeastAtMostR2,axiom,
% 163.42/163.11 ! [V_d_2,V_ca_2,V_a_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),V_d_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__on__insert,axiom,
% 163.42/163.11 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 163.42/163.11 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.11 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_UN__atLeast__UNIV,axiom,
% 163.42/163.11 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__on__Un,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.42/163.11 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.11 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.42/163.11 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_ivl__disj__int_I6_J,axiom,
% 163.42/163.11 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.11 ( class_Orderings_Oorder(T_b)
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_card__inj__on__le,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__on__iff__card__le,axiom,
% 163.42/163.11 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.42/163.11 => ( ? [B_f] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 163.42/163.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_B_2)) )
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_atLeast__Suc,axiom,
% 163.42/163.11 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_minus__Min__eq__Max,axiom,
% 163.42/163.11 ! [V_S_2,T_b] :
% 163.42/163.11 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.42/163.11 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_minus__Max__eq__Min,axiom,
% 163.42/163.11 ! [V_S_2,T_b] :
% 163.42/163.11 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.42/163.11 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 163.42/163.11 ! [V_n_2,V_m_2] :
% 163.42/163.11 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 163.42/163.11 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 163.42/163.11 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_n_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,V_m_2),hAPP(c_Int_Onat,V_n_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__INT,axiom,
% 163.42/163.11 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 163.42/163.11 => ( ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) )
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_ivl__disj__un_I12_J,axiom,
% 163.42/163.11 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_fun__upd__image,axiom,
% 163.42/163.11 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 163.42/163.11 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) )
% 163.42/163.11 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_fun__upd__triv,axiom,
% 163.42/163.11 ! [V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,hAPP(V_f_2,V_x_2)) = V_f_2 ).
% 163.42/163.11
% 163.42/163.11 fof(fact_pair__imageI,axiom,
% 163.42/163.11 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),V_A_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_atLeast__Suc__greaterThan,axiom,
% 163.42/163.11 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Cantors__paradox,axiom,
% 163.42/163.11 ! [V_A_2,T_b] :
% 163.42/163.11 ~ ? [B_f] : hAPP(c_Set_Oimage(T_b,tc_fun(T_b,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_b),V_A_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_fun__upd__idem,axiom,
% 163.42/163.11 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 163.42/163.11 ( hAPP(V_f_2,V_x_2) = V_y_2
% 163.42/163.11 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_fun__upd__other,axiom,
% 163.42/163.11 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 163.42/163.11 ( V_z_2 != V_x_2
% 163.42/163.11 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_fun__upd__twist,axiom,
% 163.42/163.11 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_ca_2,V_a_2] :
% 163.42/163.11 ( V_a_2 != V_ca_2
% 163.42/163.11 => c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_a_2,V_b_2),V_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_a_2,V_b_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_fun__upd__apply,axiom,
% 163.42/163.11 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 163.42/163.11 ( ( V_z_2 = V_x_2
% 163.42/163.11 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 163.42/163.11 & ( V_z_2 != V_x_2
% 163.42/163.11 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_fun__upd__same,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : hAPP(c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2),V_x_2) = V_y_2 ).
% 163.42/163.11
% 163.42/163.11 fof(fact_fun__upd__upd,axiom,
% 163.42/163.11 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_x_2,V_z_2) = c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_z_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_fun__upd__idem__iff,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 163.42/163.11 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_fun__upd__def,axiom,
% 163.42/163.11 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 163.42/163.11 ( ( V_x_2 = V_a_2
% 163.42/163.11 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 163.42/163.11 & ( V_x_2 != V_a_2
% 163.42/163.11 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_greaterThan__eq__iff,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 163.42/163.11 <=> V_x_2 = V_y_2 ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Field__Union,axiom,
% 163.42/163.11 ! [V_R_2,T_b] : hAPP(c_Relation_OField(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Relation_OField(T_b)),V_R_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_UNION__eq__Union__image,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Union__image__eq,axiom,
% 163.42/163.11 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Inter__image__eq,axiom,
% 163.42/163.11 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_INTER__eq__Inter__image,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 163.42/163.11 ! [V_A_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) = V_A_2 ).
% 163.42/163.11
% 163.42/163.11 fof(fact_greaterThan__iff,axiom,
% 163.42/163.11 ! [V_k_2,V_i_2,T_b] :
% 163.42/163.11 ( class_Orderings_Oord(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_greaterThan__subset__iff,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Un__Union__image,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Int__Inter__image,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Pow__insert,axiom,
% 163.42/163.11 ! [V_A_2,V_a_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_b),V_a_2)),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Compl__atMost,axiom,
% 163.42/163.11 ! [V_k_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Compl__greaterThan,axiom,
% 163.42/163.11 ! [V_k_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 163.42/163.11 c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_INT__greaterThan__UNIV,axiom,
% 163.42/163.11 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__on__fun__updI,axiom,
% 163.42/163.11 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.42/163.11 => c_Fun_Oinj__on(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_A_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 163.42/163.11 ! [V_n_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__add__int__atLeastLessThan,axiom,
% 163.42/163.11 ! [V_u_2,V_l_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Int_Oint,hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_ivl__disj__int_I7_J,axiom,
% 163.42/163.11 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.11 ( class_Orderings_Oorder(T_b)
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_ivl__disj__un_I11_J,axiom,
% 163.42/163.11 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__uminus__greaterThan,axiom,
% 163.42/163.11 ! [V_x_2,T_b] :
% 163.42/163.11 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__uminus__lessThan,axiom,
% 163.42/163.11 ! [V_x_2,T_b] :
% 163.42/163.11 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.42/163.11 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_ivl__disj__int_I5_J,axiom,
% 163.42/163.11 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.11 ( class_Orderings_Oorder(T_b)
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_greaterThan__Suc,axiom,
% 163.42/163.11 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 163.42/163.11 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_ivl__disj__un_I1_J,axiom,
% 163.42/163.11 ! [V_l_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_greaterThan__0,axiom,
% 163.42/163.11 hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_ivl__disj__un_I13_J,axiom,
% 163.42/163.11 ! [V_u_2,V_l_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 163.42/163.11 ! [V_f_2,V_A_2,T_b] :
% 163.42/163.11 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.11 & class_Groups_Ocomm__monoid__mult(T_b) )
% 163.42/163.11 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__pointwise,axiom,
% 163.42/163.11 ! [V_Qa_2,V_Pa_2,V_Q_Ha_2,V_c0_2,V_P_Ha_2,V_Ga_2,T_c,V_U_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_U_2))
% 163.42/163.11 => ( ! [B_p] :
% 163.42/163.11 ( 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_Ha_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_Ha_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))))
% 163.42/163.11 => 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)))) )
% 163.42/163.11 => ( 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_Ha_2)),V_c0_2)),V_Q_Ha_2)),V_U_2))
% 163.42/163.11 => 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)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_the__inv__into__into,axiom,
% 163.42/163.11 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2] :
% 163.42/163.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.42/163.11 => ( V_A_2 = V_B_2
% 163.42/163.11 <=> hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2] :
% 163.42/163.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.42/163.11 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2] :
% 163.42/163.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.42/163.11 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 163.42/163.11 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_nat__set__def,axiom,
% 163.42/163.11 ! [V_S_2] :
% 163.42/163.11 ( c_Nat__Transfer_Onat__set(V_S_2)
% 163.42/163.11 <=> ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 163.42/163.11 ! [V_C_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_C_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2] :
% 163.42/163.11 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 163.42/163.11 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 163.42/163.11 ! [V_x_2,V_A_2] :
% 163.42/163.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 163.42/163.11 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_the__inv__into__f__eq,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.11 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.11 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_the__inv__into__f__f,axiom,
% 163.42/163.11 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.11 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__on__the__inv__into,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.11 => c_Fun_Oinj__on(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_the__inv__into__onto,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.11 => hAPP(c_Set_Oimage(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_the__inv__f__f,axiom,
% 163.42/163.11 ! [V_x_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.11 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 163.42/163.11 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_the__inv__into__def,axiom,
% 163.42/163.11 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2] :
% 163.42/163.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 163.42/163.11 ! [V_A_2] :
% 163.42/163.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) = V_A_2 ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 163.42/163.11 ! [V_x_2,V_A_2] :
% 163.42/163.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 163.42/163.11 ! [V_A_2] :
% 163.42/163.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 163.42/163.11 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 163.42/163.11 ! [V_A_2] :
% 163.42/163.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => hAPP(c_Finite__Set_Ocard(tc_Int_Oint),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_f__the__inv__into__f,axiom,
% 163.42/163.11 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.42/163.11 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 163.42/163.11 ! [V_A_2,V_x_2] :
% 163.42/163.11 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 163.42/163.11 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2] :
% 163.42/163.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2] :
% 163.42/163.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 163.42/163.11 ! [V_f_2,V_A_2,T_b] :
% 163.42/163.11 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.11 & class_Groups_Ocomm__monoid__mult(T_b) )
% 163.42/163.11 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2] :
% 163.42/163.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.42/163.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 163.42/163.11 ! [V_N_2,V_h_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.42/163.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 163.42/163.11 ! [V_N_2,V_h_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.42/163.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Max_Ohom__commute,axiom,
% 163.42/163.11 ! [V_N_2,V_h_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.42/163.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Min_Ohom__commute,axiom,
% 163.42/163.11 ! [V_N_2,V_h_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.42/163.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Inf__fin_Ohom__commute,axiom,
% 163.42/163.11 ! [V_N_2,V_h_2,T_b] :
% 163.42/163.11 ( class_Lattices_Olattice(T_b)
% 163.42/163.11 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.42/163.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Sup__fin_Ohom__commute,axiom,
% 163.42/163.11 ! [V_N_2,V_h_2,T_b] :
% 163.42/163.11 ( class_Lattices_Olattice(T_b)
% 163.42/163.11 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.42/163.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_hom__fold1__commute,axiom,
% 163.42/163.11 ! [V_N_2,V_h_2,T_b] :
% 163.42/163.11 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 163.42/163.11 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.42/163.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_escape,axiom,
% 163.42/163.11 ! [V_Qa_2,V_ca_2,V_Ga_2,T_b,V_Pa_2] :
% 163.42/163.11 ( ! [B_Z,B_s] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 163.42/163.11 => 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)))) )
% 163.42/163.11 => 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)))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 163.42/163.11 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 163.42/163.11 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.11 & class_Groups_Ocomm__monoid__mult(T_b) )
% 163.42/163.11 => ( V_A_2 = V_B_2
% 163.42/163.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.42/163.11 => ( ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.42/163.11 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 163.42/163.11 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 163.42/163.11 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.11 & class_Groups_Ocomm__monoid__mult(T_b) )
% 163.42/163.11 => ( V_A_2 = V_B_2
% 163.42/163.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.42/163.11 => ( ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.42/163.11 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_accp__acc__eq,axiom,
% 163.42/163.11 ! [V_x_2,V_r_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),V_x_2))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_max__extp_Oequations,axiom,
% 163.42/163.11 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 163.42/163.11 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 163.42/163.11 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 163.42/163.11 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 & ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 163.42/163.11 => ? [B_xa] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 163.42/163.11 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_acc__subset,axiom,
% 163.42/163.11 ! [V_R2_2,V_R1_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R1_2),V_R2_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oacc(T_b,V_R2_2)),c_Wellfounded_Oacc(T_b,V_R1_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_acc__downward,axiom,
% 163.42/163.11 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_acc_Osimps,axiom,
% 163.42/163.11 ! [V_r_2,V_a_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 163.42/163.11 <=> ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_a_2)),V_r_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__on__Inter,axiom,
% 163.42/163.11 ! [V_f_2,T_c,T_b,V_S_2] :
% 163.42/163.11 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 163.42/163.11 => ( ! [B_A] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 163.42/163.11 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 163.42/163.11 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__split__eq__Sigma,axiom,
% 163.42/163.11 ! [V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Set_Oimage(T_d,tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_Oimage(T_d,T_c,V_g_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_b),c_Set_Ovimage(T_d,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_A_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 163.42/163.11 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 163.42/163.11 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 163.42/163.11 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(V_f_2,B_x),B_y)) = hAPP(hAPP(V_f_2,hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.42/163.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_SigmaI,axiom,
% 163.42/163.11 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Sigma__Union,axiom,
% 163.42/163.11 ! [V_B_2,V_X_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Product__Type_OSigma(T_b,T_c)),V_B_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Sigma__empty1,axiom,
% 163.42/163.11 ! [V_B_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Sigma__Diff__distrib2,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Times__Diff__distrib1,axiom,
% 163.42/163.11 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Sigma__Diff__distrib1,axiom,
% 163.42/163.11 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Times__eq__cancel2,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 163.42/163.11 => ( hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))
% 163.42/163.11 <=> V_A_2 = V_B_2 ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_card__cartesian__product,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_setsum__cartesian__product,axiom,
% 163.42/163.11 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 163.42/163.11 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Times__empty,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.42/163.11 ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))
% 163.42/163.11 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Sigma__empty2,axiom,
% 163.42/163.11 ! [V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Compl__Times__UNIV1,axiom,
% 163.42/163.11 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Compl__Times__UNIV2,axiom,
% 163.42/163.11 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_setprod__cartesian__product,axiom,
% 163.42/163.11 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 163.42/163.11 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Sigma__Un__distrib1,axiom,
% 163.42/163.11 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Times__Un__distrib1,axiom,
% 163.42/163.11 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Sigma__Un__distrib2,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_swap__product,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_b,T_c)),hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__cartesian__product,axiom,
% 163.42/163.11 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_equiv__type,axiom,
% 163.42/163.11 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.11 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Sigma__Int__distrib2,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Times__Int__distrib1,axiom,
% 163.42/163.11 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Sigma__Int__distrib1,axiom,
% 163.42/163.11 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Id__on__subset__Times,axiom,
% 163.42/163.11 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId__on(T_b,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_UNIV__Times__UNIV,axiom,
% 163.42/163.11 ! [T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_SigmaE2,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 163.42/163.11 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.42/163.11 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_SigmaD2,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_SigmaD1,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_mem__Sigma__iff,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 163.42/163.11 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.42/163.11 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_card__cartesian__product__singleton,axiom,
% 163.42/163.11 ! [V_A_2,V_x_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Times__subset__cancel2,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Image__subset,axiom,
% 163.42/163.11 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_C_2)),V_B_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__cartesian__productD2,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 163.42/163.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__cartesian__productD1,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 163.42/163.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_fst__image__times,axiom,
% 163.42/163.11 ! [V_A_2,T_c,T_b,V_B_2] :
% 163.42/163.11 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 163.42/163.11 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = V_A_2 ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_snd__image__times,axiom,
% 163.42/163.11 ! [V_B_2,T_c,T_b,V_A_2] :
% 163.42/163.11 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 163.42/163.11 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = V_B_2 ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_insert__times__insert,axiom,
% 163.42/163.11 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__equiv__class,axiom,
% 163.42/163.11 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_UN__Times__distrib,axiom,
% 163.42/163.11 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_c,T_b,T_e,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_d,T_e),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_d),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_d),c_Product__Type_OSigma(T_b,T_c)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_e),c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_F_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Sigma__def,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_c),c_Set_Oinsert(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__quotient,axiom,
% 163.42/163.11 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 163.42/163.11 ! [V_A_2,V_I_2,T_c,T_b] :
% 163.42/163.11 ? [B_f] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,tc_prod(T_c,T_b),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))
% 163.42/163.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_prod(T_c,T_b),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_I_2),V_A_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_fold__image__Sigma,axiom,
% 163.42/163.11 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 163.42/163.11 ( class_Groups_Ocomm__monoid__mult(T_d)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 163.42/163.11 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBC(T_b,T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),T_b),c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d))),V_g_2)),c_Groups_Oone__class_Oone(T_d))),V_B_2)),c_Groups_Oone__class_Oone(T_d)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,tc_prod(T_b,T_c),c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_g_2)),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__SigmaI,axiom,
% 163.42/163.11 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( ! [B_a] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_setprod__Sigma,axiom,
% 163.42/163.11 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 163.42/163.11 ( class_Groups_Ocomm__monoid__mult(T_d)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_setsum__Sigma,axiom,
% 163.42/163.11 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 163.42/163.11 ( class_Groups_Ocomm__monoid__add(T_d)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_card__SigmaI,axiom,
% 163.42/163.11 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 163.42/163.11 => hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),V_B_2)),V_A_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_SigmaE,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_ca_2,T_c,T_b] :
% 163.42/163.11 ( 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)))
% 163.42/163.11 => ~ ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.11 => ! [B_y] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 163.42/163.11 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_map__pair__surj,axiom,
% 163.42/163.11 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 163.42/163.11 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 163.42/163.11 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_map__pair__inj__on,axiom,
% 163.42/163.11 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.11 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.11 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 163.42/163.11 => c_Fun_Oinj__on(tc_prod(T_b,T_d),tc_prod(T_c,T_e),c_Product__Type_Omap__pair(T_b,T_c,T_d,T_e,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_map__pair__imageI,axiom,
% 163.42/163.11 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_R_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),tc_prod(T_d,T_e),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)),V_R_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_fst__map__pair,axiom,
% 163.42/163.11 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_map__pair__simp,axiom,
% 163.42/163.11 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_map__pair__ident,axiom,
% 163.42/163.11 ! [V_z_2,T_c,T_b] : hAPP(c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)),V_z_2) = V_z_2 ).
% 163.42/163.11
% 163.42/163.11 fof(fact_snd__prod__fun,axiom,
% 163.42/163.11 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Omap__pair(T_d,T_c,T_e,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_map__pair__def,axiom,
% 163.42/163.11 ! [V_g_2,V_f_2,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_d,T_e)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),T_b),c_COMBB(T_e,tc_prod(T_d,T_e),T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_e,tc_prod(T_d,T_e)),T_b),c_Product__Type_OPair(T_d,T_e)),V_f_2))),V_g_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_map__pair__surj__on,axiom,
% 163.42/163.11 ! [V_B_H_2,V_B_2,V_g_2,T_d,T_e,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 163.42/163.11 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 163.42/163.11 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 163.42/163.11 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_H_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_H_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_prod__fun__imageE,axiom,
% 163.42/163.11 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_ca_2,T_c,T_b] :
% 163.42/163.11 ( 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)))
% 163.42/163.11 => ~ ! [B_x,B_y] :
% 163.42/163.11 ( 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))
% 163.42/163.11 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),B_x),B_y)),V_R_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_refl__on__def,axiom,
% 163.42/163.11 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.11 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.42/163.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 163.42/163.11 & ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Rep__Integ__cases,axiom,
% 163.42/163.11 ! [V_y_2] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 163.42/163.11 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_refl__on__Id__on,axiom,
% 163.42/163.11 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_refl__on__empty,axiom,
% 163.42/163.11 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_refl__on__Un,axiom,
% 163.42/163.11 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 163.42/163.11 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.42/163.11 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 163.42/163.11 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_refl__on__Int,axiom,
% 163.42/163.11 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 163.42/163.11 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.42/163.11 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 163.42/163.11 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_refl__onD,axiom,
% 163.42/163.11 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 163.42/163.11 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_refl__onD1,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 163.42/163.11 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_refl__onD2,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 163.42/163.11 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_refl__onI,axiom,
% 163.42/163.11 ! [V_A_2,V_r_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 163.42/163.11 => ( ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) )
% 163.42/163.11 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Rep__Integ__induct,axiom,
% 163.42/163.11 ! [V_Pa_2,V_y_2] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 163.42/163.11 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 163.42/163.11 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__on__INTER,axiom,
% 163.42/163.11 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 163.42/163.11 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => ( ! [B_i] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 163.42/163.11 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 163.42/163.11 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_card__less__Suc,axiom,
% 163.42/163.11 ! [V_i_2,V_M_2] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 163.42/163.11 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_card__less,axiom,
% 163.42/163.11 ! [V_i_2,V_M_2] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 163.42/163.11 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_card__less__Suc2,axiom,
% 163.42/163.11 ! [V_i_2,V_M_2] :
% 163.42/163.11 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 163.42/163.11 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2)))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_CollectI,axiom,
% 163.42/163.11 ! [T_b,V_a_2,V_Pa_2] :
% 163.42/163.11 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__Collect__conjI,axiom,
% 163.42/163.11 ! [V_Qa_2,V_Pa_2,T_b] :
% 163.42/163.11 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 163.42/163.11 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) )
% 163.42/163.11 => 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)))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__Collect__less__nat,axiom,
% 163.42/163.11 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_k_2)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__Collect__le__nat,axiom,
% 163.42/163.11 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_k_2)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Collect__split,axiom,
% 163.42/163.11 ! [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))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_SetCompr__Sigma__eq,axiom,
% 163.42/163.11 ! [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)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Collect__neg__eq,axiom,
% 163.42/163.11 ! [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)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Collect__conj__eq,axiom,
% 163.42/163.11 ! [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)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Collect__disj__eq,axiom,
% 163.42/163.11 ! [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)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__Collect__disjI,axiom,
% 163.42/163.11 ! [V_Qa_2,V_Pa_2,T_b] :
% 163.42/163.11 ( 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))))
% 163.42/163.11 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 163.42/163.11 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_vimage__Collect__eq,axiom,
% 163.42/163.11 ! [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)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Collect__def,axiom,
% 163.42/163.11 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ).
% 163.42/163.11
% 163.42/163.11 fof(fact_empty__def,axiom,
% 163.42/163.11 ! [T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Collect__empty__eq,axiom,
% 163.42/163.11 ! [V_Pa_2,T_b] :
% 163.42/163.11 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_empty__Collect__eq,axiom,
% 163.42/163.11 ! [V_Pa_2,T_b] :
% 163.42/163.11 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2)
% 163.42/163.11 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_insert__Collect,axiom,
% 163.42/163.11 ! [V_Pa_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_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_a_2)))),V_Pa_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_UNIV__def,axiom,
% 163.42/163.11 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fTrue)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_CollectE,axiom,
% 163.42/163.11 ! [V_Pa_2,V_a_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 163.42/163.11 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_CollectD,axiom,
% 163.42/163.11 ! [V_Pa_2,V_a_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 163.42/163.11 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_mem__Collect__eq,axiom,
% 163.42/163.11 ! [V_Pa_2,V_a_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 163.42/163.11 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Collect__mem__eq,axiom,
% 163.42/163.11 ! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2 ).
% 163.42/163.11
% 163.42/163.11 fof(fact_insert__compr,axiom,
% 163.42/163.11 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_insert__compr__raw,axiom,
% 163.42/163.11 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Un__def,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Int__Collect,axiom,
% 163.42/163.11 ! [V_Pa_2,V_A_2,V_x_2,T_b] :
% 163.42/163.11 ( 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))))
% 163.42/163.11 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.11 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Int__def,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Collect__conv__if,axiom,
% 163.42/163.11 ! [T_b,V_a_2,V_Pa_2] :
% 163.42/163.11 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 163.42/163.11 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 163.42/163.11 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 163.42/163.11 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Collect__conv__if2,axiom,
% 163.42/163.11 ! [T_b,V_a_2,V_Pa_2] :
% 163.42/163.11 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 163.42/163.11 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 163.42/163.11 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 163.42/163.11 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_singleton__conv,axiom,
% 163.42/163.11 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_singleton__conv2,axiom,
% 163.42/163.11 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_set__diff__eq,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__Collect__not,axiom,
% 163.42/163.11 ! [V_Pa_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 163.42/163.11 => ( 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))))
% 163.42/163.11 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_insert__def,axiom,
% 163.42/163.11 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Compl__eq,axiom,
% 163.42/163.11 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_vimage__def,axiom,
% 163.42/163.11 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(T_c)),V_f_2)),V_B_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Collect__imp__eq,axiom,
% 163.42/163.11 ! [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)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__M__bounded__by__nat,axiom,
% 163.42/163.11 ! [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))))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_setsum__setsum__restrict,axiom,
% 163.42/163.11 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 163.42/163.11 ( class_Groups_Ocomm__monoid__add(T_d)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_d),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_d),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d)),hAPP(c_COMBC(T_b,T_c,T_d),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_if__image__distrib,axiom,
% 163.42/163.11 ! [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))))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_nat__seg__image__imp__finite,axiom,
% 163.42/163.11 ! [V_n_2,V_f_2,T_b,V_A_2] :
% 163.42/163.11 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_n_2)))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_setsum__restrict__set_H,axiom,
% 163.42/163.11 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 163.42/163.11 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_setsum__image__gen,axiom,
% 163.42/163.11 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 163.42/163.11 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_b),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_S_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Image__singleton,axiom,
% 163.42/163.11 ! [V_a_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_b))),hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2))),V_r_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_setsum__cases,axiom,
% 163.42/163.11 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] :
% 163.42/163.11 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => 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))))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_setsum__multicount,axiom,
% 163.42/163.11 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 163.42/163.11 => ( ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 163.42/163.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 )
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_c),V_T_2)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.42/163.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omin(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 163.42/163.11 ! [V_x_2,V_A_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__Collect__subsets,axiom,
% 163.42/163.11 ! [V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Pow__Compl,axiom,
% 163.42/163.11 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_b))))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Pow__def,axiom,
% 163.42/163.11 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__Collect__bounded__ex,axiom,
% 163.42/163.11 ! [V_Qa_2,T_c,V_Pa_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 163.42/163.11 => ( 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)))))
% 163.42/163.11 <=> ! [B_y] :
% 163.42/163.11 ( hBOOL(hAPP(V_Pa_2,B_y))
% 163.42/163.11 => 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)))) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__image__set,axiom,
% 163.42/163.11 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 163.42/163.11 => 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))))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__graph,axiom,
% 163.42/163.11 ! [T_c,T_b] : c_Fun_Oinj__on(tc_fun(T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Set_OCollect(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool)),hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 163.42/163.11 ! [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))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__psubset__def,axiom,
% 163.42/163.11 ! [T_b] : c_Wellfounded_Ofinite__psubset(T_b) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_b)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inv__image__def,axiom,
% 163.42/163.11 ! [V_f_2,V_r_2,T_b,T_c] : hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_c,T_c)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_c),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),T_b),c_COMBB(T_c,tc_prod(T_c,T_c),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_prod(T_c,T_c)),T_b),c_Product__Type_OPair(T_c,T_c)),V_f_2))),V_f_2)))),V_r_2))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 163.42/163.11 ! [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)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 163.42/163.11 ! [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)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_add__Min__commute,axiom,
% 163.42/163.11 ! [V_k_2,V_N_2,T_b] :
% 163.42/163.11 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.42/163.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_add__Max__commute,axiom,
% 163.42/163.11 ! [V_k_2,V_N_2,T_b] :
% 163.42/163.11 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.42/163.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_sup__Inf2__distrib,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_b] :
% 163.42/163.11 ( class_Lattices_Odistrib__lattice(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.42/163.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_sup__Inf1__distrib,axiom,
% 163.42/163.11 ! [V_x_2,V_A_2,T_b] :
% 163.42/163.11 ( class_Lattices_Odistrib__lattice(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inf__Sup2__distrib,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_b] :
% 163.42/163.11 ( class_Lattices_Odistrib__lattice(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.42/163.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inf__Sup1__distrib,axiom,
% 163.42/163.11 ! [V_x_2,V_A_2,T_b] :
% 163.42/163.11 ( class_Lattices_Odistrib__lattice(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 163.42/163.11 ! [V_x_2,V_A_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_b] :
% 163.42/163.11 ( class_Orderings_Olinorder(T_b)
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.42/163.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omax(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Nitpick_Oprod__def,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_c,T_b] : c_Nitpick_Oprod(T_b,T_c,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_int__ge__less__than__def,axiom,
% 163.42/163.11 ! [V_d_2] : c_Int_Oint__ge__less__than(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_int__ge__less__than2__def,axiom,
% 163.42/163.11 ! [V_d_2] : c_Int_Oint__ge__less__than2(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_reflp__def,axiom,
% 163.42/163.11 ! [V_r_2,T_b] :
% 163.42/163.11 ( c_Predicate_Oreflp(T_b,V_r_2)
% 163.42/163.11 <=> c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 163.42/163.11 ( class_Rings_Osemiring__0(T_d)
% 163.42/163.11 => ( c_Fun_Oinj__on(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))
% 163.42/163.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_d),c_Fun_Oid(T_d)),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),T_d),c_COMBB(T_d,tc_HOL_Obool,T_c)),c_fequal))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_setsum__multicount__gen,axiom,
% 163.42/163.11 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 163.42/163.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 163.42/163.11 => ( ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 163.42/163.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_s_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) )
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_inj__on__id,axiom,
% 163.42/163.11 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_apsnd__id,axiom,
% 163.42/163.11 ! [T_b,T_c] : c_Product__Type_Oapsnd(T_c,T_c,T_b,c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_reflpE,axiom,
% 163.42/163.11 ! [V_x_2,V_r_2,T_b] :
% 163.42/163.11 ( c_Predicate_Oreflp(T_b,V_r_2)
% 163.42/163.11 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_apfst__id,axiom,
% 163.42/163.11 ! [T_c,T_b] : c_Product__Type_Oapfst(T_b,T_b,T_c,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_id__def,axiom,
% 163.42/163.11 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 163.42/163.11
% 163.42/163.11 fof(fact_id__apply,axiom,
% 163.42/163.11 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 163.42/163.11
% 163.42/163.11 fof(fact_vimage__id,axiom,
% 163.42/163.11 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 163.42/163.11
% 163.42/163.11 fof(fact_map__pair_Oidentity,axiom,
% 163.42/163.11 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_map__pair_Oid,axiom,
% 163.42/163.11 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_Fun_Oid(T_b),c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_image__id,axiom,
% 163.42/163.11 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 163.42/163.11
% 163.42/163.11 fof(fact_of__int__eq__id,axiom,
% 163.42/163.11 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_surj__id,axiom,
% 163.42/163.11 ! [T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_apsnd__def,axiom,
% 163.42/163.11 ! [V_f_2,T_b,T_d,T_c] : c_Product__Type_Oapsnd(T_c,T_d,T_b,V_f_2) = c_Product__Type_Omap__pair(T_b,T_b,T_c,T_d,c_Fun_Oid(T_b),V_f_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_apfst__def,axiom,
% 163.42/163.11 ! [V_f_2,T_c,T_d,T_b] : c_Product__Type_Oapfst(T_b,T_d,T_c,V_f_2) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_c,V_f_2,c_Fun_Oid(T_c)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_split__Pair,axiom,
% 163.42/163.11 ! [T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_setsum__reindex__id,axiom,
% 163.42/163.11 ! [V_B_2,V_f_2,T_b,T_c] :
% 163.42/163.11 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.42/163.11 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_setprod__reindex__id,axiom,
% 163.42/163.11 ! [V_B_2,V_f_2,T_b,T_c] :
% 163.42/163.11 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.42/163.11 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.42/163.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__conv__nat__seg__image,axiom,
% 163.42/163.11 ! [V_A_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.11 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_rel__comp__def,axiom,
% 163.42/163.11 ! [V_s_2,V_r_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBC(T_d,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_d),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_b,T_d)))),c_Product__Type_OPair(T_b,T_d)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_d,T_c)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_d,T_c),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_d,T_c)))),hAPP(c_COMBC(T_d,T_c,tc_prod(T_d,T_c)),c_Product__Type_OPair(T_d,T_c))))),V_s_2))))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Range__Collect__split,axiom,
% 163.42/163.11 ! [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))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_rel__compI,axiom,
% 163.42/163.11 ! [V_s_2,V_ca_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 163.42/163.11 => ( 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))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_ca_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_RangeI,axiom,
% 163.42/163.11 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_rel__comp__UNION__distrib,axiom,
% 163.42/163.11 ! [V_r_2,V_I_2,T_e,V_s_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e),hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2)),V_r_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_rel__comp__UNION__distrib2,axiom,
% 163.42/163.11 ! [V_s_2,V_r_2,V_I_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_e),c_Relation_Orel__comp(T_b,T_d,T_c)),V_r_2)),V_s_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_rel__comp__distrib,axiom,
% 163.42/163.11 ! [V_T_2,V_S_2,V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_T_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_rel__comp__distrib2,axiom,
% 163.42/163.11 ! [V_R_2,V_T_2,V_S_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_S_2),V_T_2)),V_R_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_T_2),V_R_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_O__assoc,axiom,
% 163.42/163.11 ! [V_T_2,V_S_2,V_R_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_d),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_c),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_e,T_d,T_c),V_S_2),V_T_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_rel__comp__empty2,axiom,
% 163.42/163.11 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_rel__comp__empty1,axiom,
% 163.42/163.11 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Range__Id__on,axiom,
% 163.42/163.11 ! [V_A_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 163.42/163.11
% 163.42/163.11 fof(fact_rel__comp__mono,axiom,
% 163.42/163.11 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_H_2),V_s_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_union__comp__emptyR,axiom,
% 163.42/163.11 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.42/163.11 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 163.42/163.11 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 163.42/163.11 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_union__comp__emptyL,axiom,
% 163.42/163.11 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 163.42/163.11 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 163.42/163.11 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 163.42/163.11 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Range__Union,axiom,
% 163.42/163.11 ! [V_S_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_c,T_b)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Range__empty__iff,axiom,
% 163.42/163.11 ! [V_r_2,T_b,T_c] :
% 163.42/163.11 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Range__empty,axiom,
% 163.42/163.11 ! [T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_rel__comp__subset__Sigma,axiom,
% 163.42/163.11 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_B_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2))))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_C_2)))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Range__Un__eq,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__Range,axiom,
% 163.42/163.11 ! [V_r_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_snd__eq__Range,axiom,
% 163.42/163.11 ! [V_R_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_b,c_Product__Type_Osnd(T_c,T_b)),V_R_2) = hAPP(c_Relation_ORange(T_c,T_b),V_R_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Range__iff,axiom,
% 163.42/163.11 ! [V_r_2,T_c,V_a_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 163.42/163.11 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),V_a_2)),V_r_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Range__insert,axiom,
% 163.42/163.11 ! [V_r_2,V_b_2,V_a_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Range__Int__subset,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Range__Diff__subset,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2))),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_max__ext__compat,axiom,
% 163.42/163.11 ! [V_S_2,V_R_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_min__ext__compat,axiom,
% 163.42/163.11 ! [V_S_2,V_R_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_b,V_R_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_RangeP__Range__eq,axiom,
% 163.42/163.11 ! [V_x_2,V_r_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_RangeE,axiom,
% 163.42/163.11 ! [V_r_2,T_c,V_b_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 163.42/163.11 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_pred__comp__rel__comp__eq,axiom,
% 163.42/163.11 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d)))),V_s_2)),V_x_2),V_y_2))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_pred__comp_Ointros,axiom,
% 163.42/163.11 ! [T_d,T_c,T_b,V_ca_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_ca_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a_2),V_ca_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_RangeP_Ointros,axiom,
% 163.42/163.11 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 163.42/163.11 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_RangeP_Oequations,axiom,
% 163.42/163.11 ! [V_a2_2,V_r_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 163.42/163.11 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_pred__comp_Oequations,axiom,
% 163.42/163.11 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a1_2),V_a3_2))
% 163.42/163.11 <=> ? [B_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 163.42/163.11 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_reduction__pairI,axiom,
% 163.42/163.11 ! [V_S_2,V_R_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_R_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 163.42/163.11 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Domain__Collect__split,axiom,
% 163.42/163.11 ! [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)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_the__eq__trivial,axiom,
% 163.42/163.11 ! [V_a_2,T_b] : c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__less__than,axiom,
% 163.42/163.11 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__empty,axiom,
% 163.42/163.11 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__inv__image,axiom,
% 163.42/163.11 ! [V_f_2,T_c,V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__lex__prod,axiom,
% 163.42/163.11 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 163.42/163.11 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 163.42/163.11 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__measure,axiom,
% 163.42/163.11 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_DomainI,axiom,
% 163.42/163.11 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__comp__self,axiom,
% 163.42/163.11 ! [V_R_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_R_2)
% 163.42/163.11 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__subset,axiom,
% 163.42/163.11 ! [V_p_2,V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_p_2),V_r_2))
% 163.42/163.11 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_min__ext__wf,axiom,
% 163.42/163.11 ! [V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__Int2,axiom,
% 163.42/163.11 ! [V_r_H_2,V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__Int1,axiom,
% 163.42/163.11 ! [V_r_H_2,V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__mlex,axiom,
% 163.42/163.11 ! [V_f_2,V_R_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_R_2)
% 163.42/163.11 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_max__ext__wf,axiom,
% 163.42/163.11 ! [V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__pair__less,axiom,
% 163.42/163.11 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Domain__Id__on,axiom,
% 163.42/163.11 ! [V_A_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__finite__psubset,axiom,
% 163.42/163.11 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__less,axiom,
% 163.42/163.11 c_Wellfounded_Owf(tc_Nat_Onat,hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__not__refl,axiom,
% 163.42/163.11 ! [V_a_2,V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__not__sym,axiom,
% 163.42/163.11 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 163.42/163.11 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__asym,axiom,
% 163.42/163.11 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 163.42/163.11 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__irrefl,axiom,
% 163.42/163.11 ! [V_a_2,V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__int__ge__less__than2,axiom,
% 163.42/163.11 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__int__ge__less__than,axiom,
% 163.42/163.11 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__Un,axiom,
% 163.42/163.11 ! [V_s_2,V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 163.42/163.11 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_acc__wfD,axiom,
% 163.42/163.11 ! [V_x_2,V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__acc__iff,axiom,
% 163.42/163.11 ! [V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__no__loop,axiom,
% 163.42/163.11 ! [V_R_2,T_b] :
% 163.42/163.11 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 163.42/163.11 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__union__merge,axiom,
% 163.42/163.11 ! [V_S_2,V_R_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 163.42/163.11 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_S_2),V_R_2))),V_S_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Domain__empty__iff,axiom,
% 163.42/163.11 ! [V_r_2,T_c,T_b] :
% 163.42/163.11 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.11 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Domain__empty,axiom,
% 163.42/163.11 ! [T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Domain__mono,axiom,
% 163.42/163.11 ! [V_s_2,V_r_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_s_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Domain__Un__eq,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_finite__Domain,axiom,
% 163.42/163.11 ! [V_r_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 163.42/163.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_fst__eq__Domain,axiom,
% 163.42/163.11 ! [V_R_2,T_c,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),V_R_2) = hAPP(c_Relation_ODomain(T_b,T_c),V_R_2) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 163.42/163.11 ! [V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 <=> ~ ? [B_f] :
% 163.42/163.11 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wfE__pf,axiom,
% 163.42/163.11 ! [V_A_2,V_R_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_R_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),V_A_2)))
% 163.42/163.11 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__union__compatible,axiom,
% 163.42/163.11 ! [V_S_2,V_R_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_R_2)
% 163.42/163.11 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 163.42/163.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 163.42/163.11 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Domain__iff,axiom,
% 163.42/163.11 ! [V_r_2,T_c,V_a_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 163.42/163.11 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf,axiom,
% 163.42/163.11 ! [T_b] :
% 163.42/163.11 ( class_Orderings_Owellorder(T_b)
% 163.42/163.11 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_b)))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Domain__insert,axiom,
% 163.42/163.11 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_reduction__pair__def,axiom,
% 163.42/163.11 ! [V_Pa_2,T_b] :
% 163.42/163.11 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 163.42/163.11 <=> ( 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))
% 163.42/163.11 & 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))) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_reduction__pair__lemma,axiom,
% 163.42/163.11 ! [V_S_2,V_R_2,V_Pa_2,T_b] :
% 163.42/163.11 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 163.42/163.11 => ( 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)))
% 163.42/163.11 => ( 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)))
% 163.42/163.11 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 163.42/163.11 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Domain__Int__subset,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Domain__Diff__subset,axiom,
% 163.42/163.11 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2))),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Field__def,axiom,
% 163.42/163.11 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_r_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__map__pair__image,axiom,
% 163.42/163.11 ! [V_f_2,T_c,V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.11 => c_Wellfounded_Owf(T_c,hAPP(c_Set_Oimage(tc_prod(T_b,T_b),tc_prod(T_c,T_c),c_Product__Type_Omap__pair(T_b,T_c,T_b,T_c,V_f_2,V_f_2)),V_r_2)) ) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_Domain__Union,axiom,
% 163.42/163.11 ! [V_S_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_b,T_c)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_the__sym__eq__trivial,axiom,
% 163.42/163.11 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 163.42/163.11
% 163.42/163.11 fof(fact_DomainP__Domain__eq,axiom,
% 163.42/163.11 ! [V_x_2,V_r_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 163.42/163.11 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__lenlex,axiom,
% 163.42/163.11 ! [V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_DomainE,axiom,
% 163.42/163.11 ! [V_r_2,T_c,V_a_2,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 163.42/163.11 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_DomainP_Ointros,axiom,
% 163.42/163.11 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 163.42/163.11 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 163.42/163.11 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_DomainP_Oequations,axiom,
% 163.42/163.11 ! [V_a1_2,V_r_2,T_c,T_b] :
% 163.42/163.11 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 163.42/163.11 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_pred__nat__def,axiom,
% 163.42/163.11 c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_fequal)),c_Nat_OSuc))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__lex,axiom,
% 163.42/163.11 ! [V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__lexn,axiom,
% 163.42/163.11 ! [V_n_2,V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.11 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_lex__def,axiom,
% 163.42/163.11 ! [V_r_2,T_b] : c_List_Olex(T_b,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_b,V_r_2)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_lexn_Osimps_I1_J,axiom,
% 163.42/163.11 ! [V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__pred__nat,axiom,
% 163.42/163.11 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__same__fst,axiom,
% 163.42/163.11 ! [T_b,V_R_2,T_c,V_Pa_2] :
% 163.42/163.11 ( ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(V_Pa_2,B_x))
% 163.42/163.11 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 163.42/163.11 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wf__if__measure,axiom,
% 163.42/163.11 ! [T_b,V_g_2,V_f_2,V_Pa_2] :
% 163.42/163.11 ( ! [B_x] :
% 163.42/163.11 ( hBOOL(hAPP(V_Pa_2,B_x))
% 163.42/163.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,hAPP(V_g_2,B_x))),hAPP(V_f_2,B_x))) )
% 163.42/163.11 => 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))))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wfP__def,axiom,
% 163.42/163.11 ! [V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 163.42/163.11 <=> c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wfP__empty,axiom,
% 163.42/163.11 ! [T_b] : c_Wellfounded_OwfP(T_b,hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse))) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_accp__wfPD,axiom,
% 163.42/163.11 ! [V_x_2,V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 163.42/163.11 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wfP__accp__iff,axiom,
% 163.42/163.11 ! [V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 163.42/163.11 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 163.42/163.11
% 163.42/163.11 fof(fact_wfP__subset,axiom,
% 163.42/163.11 ! [V_p_2,V_r_2,T_b] :
% 163.42/163.11 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_p_2),V_r_2))
% 163.42/163.12 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_wf__in__rel,axiom,
% 163.42/163.12 ! [V_R_2,T_b] :
% 163.42/163.12 ( c_Wellfounded_Owf(T_b,V_R_2)
% 163.42/163.12 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_wfP__wf__eq,axiom,
% 163.42/163.12 ! [V_r_2,T_b] :
% 163.42/163.12 ( c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2))
% 163.42/163.12 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_wfP__acyclicP,axiom,
% 163.42/163.12 ! [V_r_2,T_b] :
% 163.42/163.12 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 163.42/163.12 => c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_pigeonhole__infinite,axiom,
% 163.42/163.12 ! [V_f_2,T_c,V_A_2,T_b] :
% 163.42/163.12 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.42/163.12 => ? [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.12 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_refl__on__def_H,axiom,
% 163.42/163.12 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.12 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.42/163.12 <=> ( ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),B_x)) )
% 163.42/163.12 & ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_ball__empty,axiom,
% 163.42/163.12 ! [V_Pa_2,T_b,B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 163.42/163.12 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_wf__acyclic,axiom,
% 163.42/163.12 ! [V_r_2,T_b] :
% 163.42/163.12 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.12 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_acyclic__subset,axiom,
% 163.42/163.12 ! [V_r_2,V_s_2,T_b] :
% 163.42/163.12 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.42/163.12 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Powp__def,axiom,
% 163.42/163.12 ! [V_B_2,V_A_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 163.42/163.12 <=> ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 163.42/163.12 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_INFI__bool__eq,axiom,
% 163.42/163.12 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Collect__ball__eq,axiom,
% 163.42/163.12 ! [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))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_congruent__def,axiom,
% 163.42/163.12 ! [V_f_2,V_r_2,T_c,T_b] :
% 163.42/163.12 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 163.42/163.12 <=> ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_INTER__def,axiom,
% 163.42/163.12 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_member(T_b))),V_B_2)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 163.42/163.12 ! [V_r_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 163.42/163.12 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.12 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_finite__acyclic__wf,axiom,
% 163.42/163.12 ! [V_r_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 163.42/163.12 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 163.42/163.12 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Sup__Inf,axiom,
% 163.42/163.12 ! [V_A_2,T_b] :
% 163.42/163.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.42/163.12 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b)))))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Inf__Sup,axiom,
% 163.42/163.12 ! [V_A_2,T_b] :
% 163.42/163.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.42/163.12 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_b))))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Nitpick_Owf_H__def,axiom,
% 163.42/163.12 ! [V_r_2,T_b] :
% 163.42/163.12 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 163.42/163.12 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 163.42/163.12 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 163.42/163.12 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Abs__Integ__cases,axiom,
% 163.42/163.12 ! [V_x_2] :
% 163.42/163.12 ~ ! [B_y] :
% 163.42/163.12 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Abs__Integ__induct,axiom,
% 163.42/163.12 ! [V_x_2,V_Pa_2] :
% 163.42/163.12 ( ! [B_y] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 163.42/163.12 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 163.42/163.12 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Inter__eq,axiom,
% 163.42/163.12 ! [V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_finite__UN__I,axiom,
% 163.42/163.12 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( ! [B_a] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 163.42/163.12 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 163.42/163.12 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_inj__on__diff__nat,axiom,
% 163.42/163.12 ! [V_k_2,V_N_2] :
% 163.42/163.12 ( ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 163.42/163.12 => c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_k_2),V_N_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_wfP__SUP,axiom,
% 163.42/163.12 ! [T_b,V_r_2,T_c] :
% 163.42/163.12 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 163.42/163.12 => ( ! [B_i,B_j] :
% 163.42/163.12 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 163.42/163.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Predicate_ODomainP(T_c,T_c,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_c,T_c,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 163.42/163.12 => c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_mem__splitI2,axiom,
% 163.42/163.12 ! [V_ca_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 163.42/163.12 ( ! [B_a,B_b] :
% 163.42/163.12 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_ca_2,B_a),B_b))) )
% 163.42/163.12 => 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))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_mem__splitE,axiom,
% 163.42/163.12 ! [V_p_2,V_ca_2,T_d,T_c,V_z_2,T_b] :
% 163.42/163.12 ( 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)))
% 163.42/163.12 => ~ ! [B_x,B_y] :
% 163.42/163.12 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_ca_2,B_x),B_y))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_vimage__Times,axiom,
% 163.42/163.12 ! [V_B_2,V_A_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,tc_prod(T_c,T_d),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,T_b,c_Product__Type_Ofst(T_c,T_d)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_d,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_d,T_b,c_Product__Type_Osnd(T_c,T_d)),V_f_2)),V_B_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_o__eq__id__dest,axiom,
% 163.42/163.12 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 163.42/163.12 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_ca_2)
% 163.42/163.12 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_id__o,axiom,
% 163.42/163.12 ! [V_g_2,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_g_2) = V_g_2 ).
% 163.42/163.12
% 163.42/163.12 fof(fact_o__id,axiom,
% 163.42/163.12 ! [V_f_2,T_c,T_b] : hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_f_2),c_Fun_Oid(T_b)) = V_f_2 ).
% 163.42/163.12
% 163.42/163.12 fof(fact_fun__upd__comp,axiom,
% 163.42/163.12 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),c_Fun_Ofun__upd(T_b,T_d,V_g_2,V_x_2,V_y_2)) = c_Fun_Ofun__upd(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2),V_x_2,hAPP(V_f_2,V_y_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_apsnd__compose,axiom,
% 163.42/163.12 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_x_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 163.42/163.12 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.42/163.12 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_comp__cong,axiom,
% 163.42/163.12 ! [T_f,T_e,T_d,T_b,T_c,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] :
% 163.42/163.12 ( hAPP(V_f_2,hAPP(V_g_2,V_x_2)) = hAPP(V_f_H_2,hAPP(V_g_H_2,V_x_H_2))
% 163.42/163.12 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_b,T_f,V_f_H_2),V_g_H_2),V_x_H_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 163.42/163.12 ! [V_x_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 163.42/163.12 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_o__eq__dest__lhs,axiom,
% 163.42/163.12 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 163.42/163.12 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_ca_2
% 163.42/163.12 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_K__record__comp,axiom,
% 163.42/163.12 ! [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 ).
% 163.42/163.12
% 163.42/163.12 fof(fact_apfst__compose,axiom,
% 163.42/163.12 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_e,V_f_2),V_g_2)),V_x_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_o__def,axiom,
% 163.42/163.12 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_vimage__compose,axiom,
% 163.42/163.12 ! [V_x_2,V_f_2,V_g_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_b,T_d,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_g_2),V_x_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_o__assoc,axiom,
% 163.42/163.12 ! [V_h_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(c_Fun_Ocomp(T_e,T_d,T_b,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_h_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_o__apply,axiom,
% 163.42/163.12 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_o__eq__dest,axiom,
% 163.42/163.12 ! [V_v_2,V_d_2,V_ca_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 163.42/163.12 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_ca_2),V_d_2)
% 163.42/163.12 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,hAPP(V_d_2,V_v_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_o__eq__elim,axiom,
% 163.42/163.12 ! [V_d_2,V_ca_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 163.42/163.12 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_ca_2),V_d_2)
% 163.42/163.12 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_ca_2,hAPP(V_d_2,B_v)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_map__pair_Ocompositionality,axiom,
% 163.42/163.12 ! [V_prod_2,V_i_2,V_h_2,T_g,T_f,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_f,T_b,T_g,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_e,T_c,T_g,V_g_2),V_i_2)),V_prod_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_map__pair__compose,axiom,
% 163.42/163.12 ! [V_g2_2,V_g1_2,T_g,V_f2_2,V_f1_2,T_f,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_f2_2,V_g2_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_map__pair_Ocomp,axiom,
% 163.42/163.12 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_c,T_b,T_e,T_d,T_g,T_f] : hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g_2),V_i_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_image__compose,axiom,
% 163.42/163.12 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_b,T_c,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),V_r_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_comp__surj,axiom,
% 163.42/163.12 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 163.42/163.12 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.12 => ( hAPP(c_Set_Oimage(T_b,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 163.42/163.12 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_inj__on__imageI2,axiom,
% 163.42/163.12 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 163.42/163.12 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_H_2),V_f_2),V_A_2)
% 163.42/163.12 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_inj__comp,axiom,
% 163.42/163.12 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.12 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 163.42/163.12 => c_Fun_Oinj__on(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_comp__inj__on__iff,axiom,
% 163.42/163.12 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.12 => ( c_Fun_Oinj__on(T_c,T_d,V_f_H_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 163.42/163.12 <=> c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_comp__inj__on,axiom,
% 163.42/163.12 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.12 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 163.42/163.12 => c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_inj__on__imageI,axiom,
% 163.42/163.12 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 163.42/163.12 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2),V_A_2)
% 163.42/163.12 => c_Fun_Oinj__on(T_d,T_c,V_g_2,hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_A_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_setsum__reindex,axiom,
% 163.42/163.12 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 163.42/163.12 ( class_Groups_Ocomm__monoid__add(T_d)
% 163.42/163.12 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.42/163.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_setprod__reindex,axiom,
% 163.42/163.12 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 163.42/163.12 ( class_Groups_Ocomm__monoid__mult(T_d)
% 163.42/163.12 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.42/163.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_setprod__reindex__cong,axiom,
% 163.42/163.12 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 163.42/163.12 ( class_Groups_Ocomm__monoid__mult(T_d)
% 163.42/163.12 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.12 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 163.42/163.12 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 163.42/163.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_setsum_Oreindex,axiom,
% 163.42/163.12 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 163.42/163.12 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 163.42/163.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_setprod_Oreindex,axiom,
% 163.42/163.12 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 163.42/163.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 163.42/163.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_the__inv__into__comp,axiom,
% 163.42/163.12 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))
% 163.42/163.12 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))))
% 163.42/163.12 => hAPP(c_Fun_Othe__inv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Fun_Othe__inv__into(T_d,T_b,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_fold__image__reindex,axiom,
% 163.42/163.12 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 163.42/163.12 ( class_Groups_Oab__semigroup__mult(T_d)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 163.42/163.12 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding_Oremove,axiom,
% 163.42/163.12 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.12 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding__image_Oreindex,axiom,
% 163.42/163.12 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.42/163.12 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 163.42/163.12 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_c,T_b,T_c,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding_Ounion,axiom,
% 163.42/163.12 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.42/163.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.12 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 163.42/163.12 ! [V_h_2,V_g_2,T_g,V_f_2,T_d,T_e,T_f,V_F_2,V_fa_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 163.42/163.12 => hAPP(c_Fun_Ocomp(T_f,T_e,T_d,V_f_2),hAPP(c_Fun_Ocomp(T_g,T_f,T_d,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_g,T_e,T_d,hAPP(c_Fun_Ocomp(T_f,T_e,T_g,V_f_2),V_g_2)),V_h_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding_Ocommute__comp,axiom,
% 163.42/163.12 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding_Ocommute__left__comp,axiom,
% 163.42/163.12 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),V_g_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_snd__comp__map__pair,axiom,
% 163.42/163.12 ! [V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_d),T_d,tc_prod(T_b,T_c),c_Product__Type_Osnd(T_e,T_d)),c_Product__Type_Omap__pair(T_b,T_e,T_c,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_d,tc_prod(T_b,T_c),V_g_2),c_Product__Type_Osnd(T_b,T_c)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_fst__comp__map__pair,axiom,
% 163.42/163.12 ! [V_g_2,V_f_2,T_c,T_b,T_e,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_d,tc_prod(T_b,T_c),c_Product__Type_Ofst(T_d,T_e)),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,tc_prod(T_b,T_c),V_f_2),c_Product__Type_Ofst(T_b,T_c)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_UN__o,axiom,
% 163.42/163.12 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding__image_Odistrib,axiom,
% 163.42/163.12 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.42/163.12 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(V_f_2,hAPP(hAPP(V_F_2,V_g_2),V_A_2)),hAPP(hAPP(V_F_2,V_h_2),V_A_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_split__comp,axiom,
% 163.42/163.12 ! [V_x_2,V_g_2,V_f_2,T_e,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_d,T_b),T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding_Ocommute__comp_H,axiom,
% 163.42/163.12 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 163.42/163.12 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 163.42/163.12 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.42/163.12 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 163.42/163.12 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.42/163.12 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding_Oempty,axiom,
% 163.42/163.12 ! [V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding_Oeq__fold,axiom,
% 163.42/163.12 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_s_2),V_A_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding__image_Oeq__fold,axiom,
% 163.42/163.12 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.42/163.12 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding_Oinsert,axiom,
% 163.42/163.12 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.12 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding_Ounion__inter,axiom,
% 163.42/163.12 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.42/163.12 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding_Oinsert__remove,axiom,
% 163.42/163.12 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Loop__sound__lemma,axiom,
% 163.42/163.12 ! [V_ca_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 163.42/163.12 ( 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))))
% 163.42/163.12 => 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)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_hoare__derivs_OIf,axiom,
% 163.42/163.12 ! [V_d_2,V_Qa_2,V_ca_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 163.42/163.12 ( 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))))
% 163.42/163.12 => ( 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))))
% 163.42/163.12 => 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)))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Loop,axiom,
% 163.42/163.12 ! [V_ca_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 163.42/163.12 ( 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))))
% 163.42/163.12 => 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)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_peek__and__def,axiom,
% 163.42/163.12 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_p_2),V_Z_2),V_s_2))
% 163.42/163.12 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2))
% 163.42/163.12 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_setsum__reindex__nonzero,axiom,
% 163.42/163.12 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 163.42/163.12 ( class_Groups_Ocomm__monoid__add(T_d)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.42/163.12 => ( ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.42/163.12 => ! [B_y] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 163.42/163.12 => ( B_x != B_y
% 163.42/163.12 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 163.42/163.12 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 163.42/163.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_S_2) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding__idem_Ounion__idem,axiom,
% 163.42/163.12 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.42/163.12 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 163.42/163.12 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.42/163.12 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 163.42/163.12 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding__idem_Oidem__comp,axiom,
% 163.42/163.12 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 163.42/163.12 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.12 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_folding__idem_Oinsert__idem,axiom,
% 163.42/163.12 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.42/163.12 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_strong__setprod__reindex__cong,axiom,
% 163.42/163.12 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 163.42/163.12 ( class_Groups_Ocomm__monoid__mult(T_d)
% 163.42/163.12 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.12 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 163.42/163.12 => ( ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.12 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2),B_x) )
% 163.42/163.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Eps__split,axiom,
% 163.42/163.12 ! [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))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_wfI__pf,axiom,
% 163.42/163.12 ! [V_R_2,T_b] :
% 163.42/163.12 ( ! [B_A] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),B_A)))
% 163.42/163.12 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 163.42/163.12 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_exE__some,axiom,
% 163.42/163.12 ! [T_b,V_ca_2,V_Pa_2] :
% 163.42/163.12 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 163.42/163.12 => ( V_ca_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2)
% 163.42/163.12 => hBOOL(hAPP(V_Pa_2,V_ca_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_tfl__some,axiom,
% 163.42/163.12 ! [T_b,B_P] :
% 163.42/163.12 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 163.42/163.12 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_someI,axiom,
% 163.42/163.12 ! [T_b,V_x_2,V_Pa_2] :
% 163.42/163.12 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.12 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_some__sym__eq__trivial,axiom,
% 163.42/163.12 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 163.42/163.12
% 163.42/163.12 fof(fact_some__eq__trivial,axiom,
% 163.42/163.12 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ).
% 163.42/163.12
% 163.42/163.12 fof(fact_some__eq__ex,axiom,
% 163.42/163.12 ! [T_b,V_Pa_2] :
% 163.42/163.12 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2)))
% 163.42/163.12 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_someI__ex,axiom,
% 163.42/163.12 ! [T_b,V_Pa_2] :
% 163.42/163.12 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 163.42/163.12 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_split__paired__Eps,axiom,
% 163.42/163.12 ! [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)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Eps__split__eq,axiom,
% 163.42/163.12 ! [V_y_2,V_x_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Sigma__mono,axiom,
% 163.42/163.12 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.42/163.12 => ( ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) )
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_C_2),V_D_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_acc_OaccI,axiom,
% 163.42/163.12 ! [V_r_2,V_x_2,T_b] :
% 163.42/163.12 ( ! [B_y] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_x_2)),V_r_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_not__acc__down,axiom,
% 163.42/163.12 ! [V_R_2,V_x_2,T_b] :
% 163.42/163.12 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 163.42/163.12 => ~ ! [B_z] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_x_2)),V_R_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_max__ext_Osimps,axiom,
% 163.42/163.12 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 163.42/163.12 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 163.42/163.12 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 163.42/163.12 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.12 & ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 163.42/163.12 => ? [B_xa] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 163.42/163.12 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 163.42/163.12 ! [V_ca_2,V_b_2,V_A_2,T_b] :
% 163.42/163.12 ( class_Orderings_Olinorder(T_b)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 163.42/163.12 => 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))) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Max__eqI,axiom,
% 163.42/163.12 ! [V_x_2,V_A_2,T_b] :
% 163.42/163.12 ( class_Orderings_Olinorder(T_b)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => ( ! [B_y] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.12 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_wf__no__infinite__down__chainE,axiom,
% 163.42/163.12 ! [V_f_2,V_r_2,T_b] :
% 163.42/163.12 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.12 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_iterate_Osimps,axiom,
% 163.42/163.12 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 163.42/163.12 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.42/163.12 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2) )
% 163.42/163.12 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.42/163.12 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_b,tc_prod(T_c,T_b)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_c,T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_setsum__reindex__cong,axiom,
% 163.42/163.12 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 163.42/163.12 ( class_Groups_Ocomm__monoid__add(T_d)
% 163.42/163.12 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.12 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 163.42/163.12 => ( ! [B_a] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 163.42/163.12 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 163.42/163.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Pair__scomp,axiom,
% 163.42/163.12 ! [V_f_2,V_x_2,T_c,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_b,T_c),hAPP(c_Product__Type_OPair(T_d,T_b),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_scomp__scomp,axiom,
% 163.42/163.12 ! [V_h_2,V_g_2,V_f_2,T_g,T_f,T_c,T_e,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_e,T_c),hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,tc_prod(T_d,T_e)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,T_c),V_f_2),hAPP(hAPP(c_COMBC(T_f,tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_g,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),T_f),c_Product__Type_Oscomp(T_g,T_d,T_e,T_c)),V_g_2)),V_h_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_scomp__Pair,axiom,
% 163.42/163.12 ! [V_x_2,T_d,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,tc_prod(T_c,T_d)),V_x_2),c_Product__Type_OPair(T_c,T_d)) = V_x_2 ).
% 163.42/163.12
% 163.42/163.12 fof(fact_scomp__apply,axiom,
% 163.42/163.12 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_scomp__def,axiom,
% 163.42/163.12 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_scomp__unfold,axiom,
% 163.42/163.12 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_e),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_d,T_e),hAPP(V_f_2,V_x_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_setsum__ivl__cong,axiom,
% 163.42/163.12 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_ca_2,V_a_2,T_b,T_c] :
% 163.42/163.12 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 163.42/163.12 & class_Orderings_Oord(T_b) )
% 163.42/163.12 => ( V_a_2 = V_ca_2
% 163.42/163.12 => ( V_b_2 = V_d_2
% 163.42/163.12 => ( ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),B_x))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 163.42/163.12 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 163.42/163.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)) ) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_less__eq,axiom,
% 163.42/163.12 ! [V_n_2,V_m_2] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 163.42/163.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_wf__trancl,axiom,
% 163.42/163.12 ! [V_r_2,T_b] :
% 163.42/163.12 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.12 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_less__than__def,axiom,
% 163.42/163.12 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_acyclic__def,axiom,
% 163.42/163.12 ! [V_r_2,T_b] :
% 163.42/163.12 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 163.42/163.12 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl_Or__into__trancl,axiom,
% 163.42/163.12 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__subset__Field2,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_Relation_OField(T_b),V_r_2))))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_r__into__trancl_H,axiom,
% 163.42/163.12 ! [V_r_2,V_p_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__empty,axiom,
% 163.42/163.12 ! [T_b] : c_Transitive__Closure_Otrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__domain,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__range,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ORange(T_b,T_b),V_r_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_finite__trancl,axiom,
% 163.42/163.12 ! [V_r_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 163.42/163.12 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_r__r__into__trancl,axiom,
% 163.42/163.12 ! [V_ca_2,V_R_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_R_2))
% 163.42/163.12 => ( 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))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__into__trancl2,axiom,
% 163.42/163.12 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 163.42/163.12 => ( 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)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 163.42/163.12 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 163.42/163.12 => ( 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))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__trans,axiom,
% 163.42/163.12 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 163.42/163.12 => ( 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)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__mono,axiom,
% 163.42/163.12 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__unfold,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_r_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__subset__Sigma,axiom,
% 163.42/163.12 ! [V_A_2,V_r_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__Int__subset,axiom,
% 163.42/163.12 ! [V_s_2,V_r_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__insert,axiom,
% 163.42/163.12 ! [V_r_2,V_x_2,V_y_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBC(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),V_y_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_reflcl__set__eq,axiom,
% 163.42/163.12 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),c_fequal),V_x_2),V_y_2))
% 163.42/163.12 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_r__into__rtrancl,axiom,
% 163.42/163.12 ! [V_r_2,V_p_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 163.42/163.12 ! [V_r_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_IdI,axiom,
% 163.42/163.12 ! [V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Relation_OId(T_b))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__into__rtrancl,axiom,
% 163.42/163.12 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__unfold__left,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__unfold__right,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_reflcl__trancl,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__reflcl,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__trancl__absorb,axiom,
% 163.42/163.12 ! [V_R_2,T_b] : c_Transitive__Closure_Otrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__rtrancl__absorb,axiom,
% 163.42/163.12 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Otrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Domain__rtrancl,axiom,
% 163.42/163.12 ! [V_R_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Range__rtrancl,axiom,
% 163.42/163.12 ! [V_R_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_refl__rtrancl,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 163.42/163.12 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 163.42/163.12 => ( 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)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 163.42/163.12 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 163.42/163.12 => ( 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))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__trans,axiom,
% 163.42/163.12 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 163.42/163.12 => ( 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)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__idemp,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__r__diff__Id,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_in__rtrancl__UnI,axiom,
% 163.42/163.12 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 163.42/163.12 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 163.42/163.12 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__Un__subset,axiom,
% 163.42/163.12 ! [V_S_2,V_R_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__reflcl,axiom,
% 163.42/163.12 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__Un__rtrancl,axiom,
% 163.42/163.12 ! [V_S_2,V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) = c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__reflcl__absorb,axiom,
% 163.42/163.12 ! [V_R_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Image__closed__trancl,axiom,
% 163.42/163.12 ! [V_X_2,V_r_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),V_X_2)),V_X_2))
% 163.42/163.12 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__mono,axiom,
% 163.42/163.12 ! [V_s_2,V_r_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__subset,axiom,
% 163.42/163.12 ! [V_S_2,V_R_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 163.42/163.12 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__subset__rtrancl,axiom,
% 163.42/163.12 ! [V_s_2,V_r_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_s_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__idemp__self__comp,axiom,
% 163.42/163.12 ! [V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_r__comp__rtrancl__eq,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__unfold,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__Int__subset,axiom,
% 163.42/163.12 ! [V_r_2,V_s_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),V_s_2))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__empty,axiom,
% 163.42/163.12 ! [T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Relation_OId(T_b) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_R__O__Id,axiom,
% 163.42/163.12 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_c),V_R_2),c_Relation_OId(T_c)) = V_R_2 ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Id__O__R,axiom,
% 163.42/163.12 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_c),c_Relation_OId(T_b)),V_R_2) = V_R_2 ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Image__Id,axiom,
% 163.42/163.12 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 163.42/163.12
% 163.42/163.12 fof(fact_pair__in__Id__conv,axiom,
% 163.42/163.12 ! [V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId(T_b)))
% 163.42/163.12 <=> V_a_2 = V_b_2 ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__eq__or__trancl,axiom,
% 163.42/163.12 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 163.42/163.12 <=> ( V_x_2 = V_y_2
% 163.42/163.12 | ( V_x_2 != V_y_2
% 163.42/163.12 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__into__trancl2,axiom,
% 163.42/163.12 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 163.42/163.12 => ( 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)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtranclD,axiom,
% 163.42/163.12 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 163.42/163.12 => ( V_a_2 = V_b_2
% 163.42/163.12 | ( V_a_2 != V_b_2
% 163.42/163.12 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__into__trancl1,axiom,
% 163.42/163.12 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 163.42/163.12 => ( 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))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__rtrancl__trancl,axiom,
% 163.42/163.12 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 163.42/163.12 => ( 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)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__trancl__trancl,axiom,
% 163.42/163.12 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Domain__Id,axiom,
% 163.42/163.12 ! [T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Range__Id,axiom,
% 163.42/163.12 ! [T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_refl__Id,axiom,
% 163.42/163.12 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Relation_OId(T_b)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_pair__leq__def,axiom,
% 163.42/163.12 c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool)),c_FunDef_Opair__less),c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Not__Domain__rtrancl,axiom,
% 163.42/163.12 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 163.42/163.12 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 163.42/163.12 <=> V_x_2 = V_y_2 ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_acc__downwards__aux,axiom,
% 163.42/163.12 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_acc__downwards,axiom,
% 163.42/163.12 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_wf__insert,axiom,
% 163.42/163.12 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 163.42/163.12 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 163.42/163.12 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.12 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_acyclic__insert,axiom,
% 163.42/163.12 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 163.42/163.12 ( c_Wellfounded_Oacyclic(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 163.42/163.12 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 163.42/163.12 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_refl__reflcl,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Id__def,axiom,
% 163.42/163.12 ! [T_b] : c_Relation_OId(T_b) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_b),tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),tc_prod(T_b,T_b)),c_COMBB(tc_prod(T_b,T_b),tc_HOL_Obool,T_b)),c_fequal)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_irrefl__diff__Id,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_Relation_Oirrefl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_pred__nat__trancl__eq__le,axiom,
% 163.42/163.12 ! [V_n_2,V_m_2] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 163.42/163.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__subset__Sigma__aux,axiom,
% 163.42/163.12 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 163.42/163.12 => ( V_a_2 = V_b_2
% 163.42/163.12 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_irrefl__tranclI,axiom,
% 163.42/163.12 ! [V_x_2,V_r_2,T_b] :
% 163.42/163.12 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_sequence__trans,axiom,
% 163.42/163.12 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 163.42/163.12 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__converse,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converse__Id,axiom,
% 163.42/163.12 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_acyclic__converse,axiom,
% 163.42/163.12 ! [V_r_2,T_b] :
% 163.42/163.12 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 163.42/163.12 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_refl__on__converse,axiom,
% 163.42/163.12 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.12 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 163.42/163.12 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converse__Id__on,axiom,
% 163.42/163.12 ! [V_A_2,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = c_Relation_OId__on(T_b,V_A_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Field__converse,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_OField(T_b),V_r_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converse__converse,axiom,
% 163.42/163.12 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = V_r_2 ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converse__inv__image,axiom,
% 163.42/163.12 ! [V_f_2,V_R_2,T_c,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_c),V_R_2)),V_f_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_finite__converse,axiom,
% 163.42/163.12 ! [V_r_2,T_c,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 163.42/163.12 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converse__Int,axiom,
% 163.42/163.12 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converse__Un,axiom,
% 163.42/163.12 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converse__rel__comp,axiom,
% 163.42/163.12 ! [V_s_2,V_r_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_b),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_b),V_s_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converseD,axiom,
% 163.42/163.12 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converseI,axiom,
% 163.42/163.12 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converse__iff,axiom,
% 163.42/163.12 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 163.42/163.12 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converse__UNION,axiom,
% 163.42/163.12 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converse__INTER,axiom,
% 163.42/163.12 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__converse,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_wf__converse__trancl,axiom,
% 163.42/163.12 ! [V_r_2,T_b] :
% 163.42/163.12 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 163.42/163.12 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_equiv__comp__eq,axiom,
% 163.42/163.12 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.12 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.12 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Range__def,axiom,
% 163.42/163.12 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Domain__converse,axiom,
% 163.42/163.12 ! [V_r_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) = hAPP(c_Relation_ORange(T_c,T_b),V_r_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Range__converse,axiom,
% 163.42/163.12 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__converseD,axiom,
% 163.42/163.12 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__converseI,axiom,
% 163.42/163.12 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__converseD,axiom,
% 163.42/163.12 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__converseI,axiom,
% 163.42/163.12 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Image__subset__eq,axiom,
% 163.42/163.12 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)),V_B_2))
% 163.42/163.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_refl__on__comp__subset,axiom,
% 163.42/163.12 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.12 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_comp__equivI,axiom,
% 163.42/163.12 ! [V_A_2,V_r_2,T_b] :
% 163.42/163.12 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2
% 163.42/163.12 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 163.42/163.12 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_finite__acyclic__wf__converse,axiom,
% 163.42/163.12 ! [V_r_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 163.42/163.12 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 163.42/163.12 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converse__def,axiom,
% 163.42/163.12 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_r_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Image__INT__eq,axiom,
% 163.42/163.12 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 163.42/163.12 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 163.42/163.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 163.42/163.12 => hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_total__on__diff__Id,axiom,
% 163.42/163.12 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.12 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 163.42/163.12 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_single__valued__Id,axiom,
% 163.42/163.12 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_single__valued__rel__comp,axiom,
% 163.42/163.12 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 163.42/163.12 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 163.42/163.12 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 163.42/163.12 => c_Relation_Osingle__valued(T_b,T_d,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_single__valued__subset,axiom,
% 163.42/163.12 ! [V_s_2,V_r_2,T_c,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.42/163.12 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 163.42/163.12 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_single__valued__Id__on,axiom,
% 163.42/163.12 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_total__on__empty,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_Relation_Ototal__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_r_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_total__on__converse,axiom,
% 163.42/163.12 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.12 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 163.42/163.12 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_single__valuedD,axiom,
% 163.42/163.12 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 163.42/163.12 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_r_2))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_z_2)),V_r_2))
% 163.42/163.12 => V_y_2 = V_z_2 ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_single__valued__def,axiom,
% 163.42/163.12 ! [V_r_2,T_c,T_b] :
% 163.42/163.12 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 163.42/163.12 <=> ! [B_x,B_y] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)),V_r_2))
% 163.42/163.12 => ! [B_z] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)),V_r_2))
% 163.42/163.12 => B_y = B_z ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_total__on__def,axiom,
% 163.42/163.12 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.12 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 163.42/163.12 <=> ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.12 => ! [B_xa] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 163.42/163.12 => ( B_x != B_xa
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2))
% 163.42/163.12 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_xa),B_x)),V_r_2)) ) ) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_single__valued__confluent,axiom,
% 163.42/163.12 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 163.42/163.12 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 163.42/163.12 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Image__Int__eq,axiom,
% 163.42/163.12 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 163.42/163.12 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 163.42/163.12 => hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 163.42/163.12 ! [V_R_2,V_p_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_acyclicI,axiom,
% 163.42/163.12 ! [V_r_2,T_b] :
% 163.42/163.12 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 163.42/163.12 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_single__valued__rel__pow,axiom,
% 163.42/163.12 ! [V_n_2,V_R_2,T_b] :
% 163.42/163.12 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 163.42/163.12 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_funpow__swap1,axiom,
% 163.42/163.12 ! [V_x_2,V_n_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_funpow__mult,axiom,
% 163.42/163.12 ! [V_f_2,V_m_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_wf__exp,axiom,
% 163.42/163.12 ! [V_R_2,V_n_2,T_b] :
% 163.42/163.12 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))
% 163.42/163.12 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_comp__funpow,axiom,
% 163.42/163.12 ! [V_f_2,V_n_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_n_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rel__pow__commute,axiom,
% 163.42/163.12 ! [V_n_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rel__pow__1,axiom,
% 163.42/163.12 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__power,axiom,
% 163.42/163.12 ! [V_R_2,V_p_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 163.42/163.12 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rel__pow__imp__rtrancl,axiom,
% 163.42/163.12 ! [V_R_2,V_n_2,V_p_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_relpow_Osimps_I2_J,axiom,
% 163.42/163.12 ! [V_R_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rel__pow__add,axiom,
% 163.42/163.12 ! [V_R_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_relpow_Osimps_I1_J,axiom,
% 163.42/163.12 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_b) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rel__pow__0__I,axiom,
% 163.42/163.12 ! [V_R_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rel__pow__0__E,axiom,
% 163.42/163.12 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 163.42/163.12 => V_x_2 = V_y_2 ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rel__pow__Suc__I,axiom,
% 163.42/163.12 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_R_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rel__pow__Suc__I2,axiom,
% 163.42/163.12 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_funpow_Osimps_I2_J,axiom,
% 163.42/163.12 ! [V_f_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_funpow__add,axiom,
% 163.42/163.12 ! [V_f_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_funpow_Osimps_I1_J,axiom,
% 163.42/163.12 ! [V_f_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_b) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_trancl__power,axiom,
% 163.42/163.12 ! [V_R_2,V_p_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 163.42/163.12 <=> ? [B_n] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 163.42/163.12 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 163.42/163.12 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_funpow__code__def,axiom,
% 163.42/163.12 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rel__pow__E,axiom,
% 163.42/163.12 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 163.42/163.12 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.12 => V_x_2 != V_z_2 )
% 163.42/163.12 => ~ ! [B_y,B_m] :
% 163.42/163.12 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2)))
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rel__pow__E2,axiom,
% 163.42/163.12 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 163.42/163.12 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.12 => V_x_2 != V_z_2 )
% 163.42/163.12 => ~ ! [B_y,B_m] :
% 163.42/163.12 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__Un__separatorE,axiom,
% 163.42/163.12 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Qa_2))))
% 163.42/163.12 => ( ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 163.42/163.12 => ! [B_y] :
% 163.42/163.12 ( 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))
% 163.42/163.12 => B_x = B_y ) )
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 163.42/163.12 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Qa_2))))
% 163.42/163.12 => ( ! [B_x] :
% 163.42/163.12 ( 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)))
% 163.42/163.12 => ! [B_y] :
% 163.42/163.12 ( 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))
% 163.42/163.12 => B_y = B_x ) )
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rel__pow__Suc__D2,axiom,
% 163.42/163.12 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 163.42/163.12 => ? [B_y] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 163.42/163.12 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rel__pow__Suc__E,axiom,
% 163.42/163.12 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 163.42/163.12 => ~ ! [B_y] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rel__pow__Suc__E2,axiom,
% 163.42/163.12 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 163.42/163.12 => ~ ! [B_y] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_tranclD,axiom,
% 163.42/163.12 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 163.42/163.12 => ? [B_z] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2))
% 163.42/163.12 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_tranclD2,axiom,
% 163.42/163.12 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 163.42/163.12 => ? [B_z] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 163.42/163.12 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),V_R_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_IdE,axiom,
% 163.42/163.12 ! [V_p_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 163.42/163.12 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_wf__eq__minimal,axiom,
% 163.42/163.12 ! [V_r_2,T_b] :
% 163.42/163.12 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.42/163.12 <=> ! [B_Q] :
% 163.42/163.12 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 163.42/163.12 => ? [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 163.42/163.12 & ! [B_y] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_transfer__nat__int__set__cong,axiom,
% 163.42/163.12 ! [V_P_Ha_2,V_Pa_2] :
% 163.42/163.12 ( ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.42/163.12 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 163.42/163.12 <=> hBOOL(hAPP(V_P_Ha_2,B_x)) ) )
% 163.42/163.12 => 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_Ha_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Int__Collect__mono,axiom,
% 163.42/163.12 ! [V_Qa_2,V_Pa_2,V_B_2,V_A_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.42/163.12 => ( ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.12 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 163.42/163.12 => hBOOL(hAPP(V_Qa_2,B_x)) ) )
% 163.42/163.12 => 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)))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rel__compE,axiom,
% 163.42/163.12 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2)))
% 163.42/163.12 => ~ ! [B_x,B_y,B_z] :
% 163.42/163.12 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),B_x),B_y)),V_r_2))
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_y),B_z)),V_s_2)) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_converseE,axiom,
% 163.42/163.12 ! [V_r_2,V_yx_2,T_c,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_yx_2),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 163.42/163.12 => ~ ! [B_x,B_y] :
% 163.42/163.12 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),B_y)),V_r_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 163.42/163.12 ! [V_r_2,V_q_2,T_b] : c_Nitpick_Oplus__frac(T_b,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_b),V_q_2),hAPP(c_Nitpick_Odenom(T_b),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_b),tc_Int_Oint),c_Nitpick_Ofrac(T_b)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_r_2)))))),c_COMBI(tc_Int_Oint))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_internal__split__def,axiom,
% 163.42/163.12 ! [T_d,T_c,T_b] : c_Product__Type_Ointernal__split(T_b,T_c,T_d) = c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_internal__split__conv,axiom,
% 163.42/163.12 ! [V_b_2,V_a_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_a_2),V_b_2)) = hAPP(hAPP(V_ca_2,V_a_2),V_b_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 163.42/163.12 ! [V_r,V_q,T_a] : c_Nitpick_Otimes__frac(T_a,V_q,V_r) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_r))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Odenom(T_a),V_r))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Nitpick_Oof__frac__def,axiom,
% 163.42/163.12 ! [V_q,T_a,T_b] :
% 163.42/163.12 ( ( class_Rings_Oinverse(T_b)
% 163.42/163.12 & class_Rings_Oring__1(T_b) )
% 163.42/163.12 => c_Nitpick_Oof__frac(T_a,T_b,V_q) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Odenom(T_a),V_q))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 163.42/163.12 ! [V_q,T_a] : c_Nitpick_Oinverse__frac(T_a,V_q) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_q)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 163.42/163.12 ! [V_q,T_a] : c_Nitpick_Ouminus__frac(T_a,V_q) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Nitpick_Odenom(T_a),V_q))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Nitpick_Oless__frac__def,axiom,
% 163.42/163.12 ! [V_r_2,V_q_2,T_b] :
% 163.42/163.12 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 163.42/163.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 163.42/163.12 ! [V_r_2,V_q_2,T_b] :
% 163.42/163.12 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 163.42/163.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Nitpick_Odenom__def,axiom,
% 163.42/163.12 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Nitpick_Onum__def,axiom,
% 163.42/163.12 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_bool_Osize_I2_J,axiom,
% 163.42/163.12 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_bool_Osize_I1_J,axiom,
% 163.42/163.12 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_finite__less__ub,axiom,
% 163.42/163.12 ! [V_u_2,V_f_2] :
% 163.42/163.12 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 163.42/163.12 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_f_2)),V_u_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lenlex__def,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_b),c_Wellfounded_Oless__than,c_List_Olex(T_b,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_b))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_COMBI(tc_List_Olist(T_b)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_neq__if__length__neq,axiom,
% 163.42/163.12 ! [V_ys,V_xs,T_a] :
% 163.42/163.12 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)
% 163.42/163.12 => V_xs != V_ys ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lexn__length,axiom,
% 163.42/163.12 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))
% 163.42/163.12 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2
% 163.42/163.12 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lenlex__conv,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_List_Olex(T_b,V_r_2)))))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_length__sublist,axiom,
% 163.42/163.12 ! [V_I_2,V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lexn_Osimps_I2_J,axiom,
% 163.42/163.12 ! [V_n_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2)))))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_impossible__Cons,axiom,
% 163.42/163.12 ! [V_x,V_ys,V_xs,T_a] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)))
% 163.42/163.12 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_not__Cons__self,axiom,
% 163.42/163.12 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_not__Cons__self2,axiom,
% 163.42/163.12 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list_Oinject,axiom,
% 163.42/163.12 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 163.42/163.12 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_H_2),V_list_H_2)
% 163.42/163.12 <=> ( V_a_2 = V_a_H_2
% 163.42/163.12 & V_list_2 = V_list_H_2 ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list_Osize_I4_J,axiom,
% 163.42/163.12 ! [V_list,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),V_list)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_list)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Cons__in__lex,axiom,
% 163.42/163.12 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olex(T_b,V_r_2)))
% 163.42/163.12 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 163.42/163.12 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) )
% 163.42/163.12 | ( V_x_2 = V_y_2
% 163.42/163.12 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__Cons__def,axiom,
% 163.42/163.12 ! [V_XS_2,V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBS(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_HOL_Obool,tc_List_Olist(T_b))),c_fequal))),c_List_Olist_OCons(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),V_XS_2)))))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_pick_Osimps,axiom,
% 163.42/163.12 ! [V_xs,V_x,T_a,V_i] :
% 163.42/163.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x)))
% 163.42/163.12 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a),V_x) )
% 163.42/163.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x)))
% 163.42/163.12 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Random_Opick(T_a,V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_select__weight__cons__zero,axiom,
% 163.42/163.12 ! [V_xs_2,V_x_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lexord__cons__cons,axiom,
% 163.42/163.12 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2))),c_List_Olexord(T_b,V_r_2)))
% 163.42/163.12 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 163.42/163.12 | ( V_a_2 = V_b_2
% 163.42/163.12 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lexord__lex,axiom,
% 163.42/163.12 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2)))
% 163.42/163.12 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 163.42/163.12 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list_Osize_I2_J,axiom,
% 163.42/163.12 ! [V_list_2,V_a_2,V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_b,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Cons__acc__listrel1I,axiom,
% 163.42/163.12 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel1__converse,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel1__mono,axiom,
% 163.42/163.12 ! [V_s_2,V_r_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel1(T_b,V_s_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel1I2,axiom,
% 163.42/163.12 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 163.42/163.12 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel1__eq__len,axiom,
% 163.42/163.12 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 163.42/163.12 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 163.42/163.12 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 163.42/163.12 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_in__listrel1__converse,axiom,
% 163.42/163.12 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 163.42/163.12 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel1I1,axiom,
% 163.42/163.12 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_xs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Cons__listrel1__Cons,axiom,
% 163.42/163.12 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2)))
% 163.42/163.12 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 163.42/163.12 & V_xs_2 = V_ys_2 )
% 163.42/163.12 | ( V_x_2 = V_y_2
% 163.42/163.12 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__Cons,axiom,
% 163.42/163.12 ! [V_xs_2,V_x_2,V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = c_List_Oset__Cons(T_b,hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lexord__irreflexive,axiom,
% 163.42/163.12 ! [V_y_2,V_r_2,T_b] :
% 163.42/163.12 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2))
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__rtrancl__refl,axiom,
% 163.42/163.12 ! [V_r_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_xs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__mono,axiom,
% 163.42/163.12 ! [V_s_2,V_r_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_List_Olistrel(T_b,V_s_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__eq__len,axiom,
% 163.42/163.12 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 163.42/163.12 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__rtrancl__trans,axiom,
% 163.42/163.12 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 163.42/163.12 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel1__subset__listrel,axiom,
% 163.42/163.12 ! [V_r_H_2,V_r_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 163.42/163.12 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel(T_b,V_r_H_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 163.42/163.12 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel_OCons,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrelp__listrel__eq,axiom,
% 163.42/163.12 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 163.42/163.12 ( c_List_Olistrelp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2),V_x_2,V_xa_2)
% 163.42/163.12 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__Cons2,axiom,
% 163.42/163.12 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2)))
% 163.42/163.12 => ~ ! [B_x,B_xs] :
% 163.42/163.12 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_y_2)),V_r_2))
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrelp_OCons,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 163.42/163.12 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 163.42/163.12 => c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrelp_Oequations_I2_J,axiom,
% 163.42/163.12 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 163.42/163.12 ( c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a4_2))
% 163.42/163.12 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 163.42/163.12 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__Cons1,axiom,
% 163.42/163.12 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 163.42/163.12 => ~ ! [B_y,B_ys] :
% 163.42/163.12 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),B_y)),V_r_2))
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__subset,axiom,
% 163.42/163.12 ! [V_A_2,V_r_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2))))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lists__UNIV,axiom,
% 163.42/163.12 ! [T_b] : c_List_Olists(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lists__mono,axiom,
% 163.42/163.12 ! [V_B_2,V_A_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olists(T_b,V_A_2)),c_List_Olists(T_b,V_B_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_equiv__listrel,axiom,
% 163.42/163.12 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.12 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.12 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__refl__on,axiom,
% 163.42/163.12 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.12 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.42/163.12 => c_Relation_Orefl__on(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Cons__in__lists__iff,axiom,
% 163.42/163.12 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_List_Olists(T_b,V_A_2)))
% 163.42/163.12 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.12 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lists__accI,axiom,
% 163.42/163.12 ! [V_r_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lists__accD,axiom,
% 163.42/163.12 ! [V_r_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__iff__nth,axiom,
% 163.42/163.12 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 163.42/163.12 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.42/163.12 & ! [B_n] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lexord__linear,axiom,
% 163.42/163.12 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 163.42/163.12 ( ! [B_a,B_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_b)),V_r_2))
% 163.42/163.12 | B_a = B_b
% 163.42/163.12 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_b),B_a)),V_r_2)) )
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 163.42/163.12 | V_x_2 = V_y_2
% 163.42/163.12 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_infinite__UNIV__listI,axiom,
% 163.42/163.12 ! [T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__eq__iff__nth__eq,axiom,
% 163.42/163.12 ! [T_b,V_ys_2,V_xs_2] :
% 163.42/163.12 ( V_xs_2 = V_ys_2
% 163.42/163.12 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.42/163.12 & ! [B_i] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.12 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth__Cons__0,axiom,
% 163.42/163.12 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_x ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth__Cons__Suc,axiom,
% 163.42/163.12 ! [V_n,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth_Osimps,axiom,
% 163.42/163.12 ! [V_n_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_n_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth__Cons_H,axiom,
% 163.42/163.12 ! [V_xs,V_x,T_a,V_n] :
% 163.42/163.12 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.12 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 163.42/163.12 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.12 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth__Cons__number__of,axiom,
% 163.42/163.12 ! [V_xs,V_x,T_a,V_v] :
% 163.42/163.12 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.12 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = V_x )
% 163.42/163.12 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.12 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lexord__take__index__conv,axiom,
% 163.42/163.12 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 163.42/163.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2)))
% 163.42/163.12 & hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),V_y_2) = V_x_2 )
% 163.42/163.12 | ? [B_i] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2))))
% 163.42/163.12 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 163.42/163.12 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__sublist,axiom,
% 163.42/163.12 ! [V_I_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_finite__set,axiom,
% 163.42/163.12 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__subset__Cons,axiom,
% 163.42/163.12 ! [V_x_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_take__all,axiom,
% 163.42/163.12 ! [V_n,V_xs,T_a] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n))
% 163.42/163.12 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__take__subset,axiom,
% 163.42/163.12 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__take__subset__set__take,axiom,
% 163.42/163.12 ! [V_xs_2,T_b,V_n_2,V_m_2] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__sublist__subset,axiom,
% 163.42/163.12 ! [V_I_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth__take,axiom,
% 163.42/163.12 ! [V_xs,T_a,V_n,V_i] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 163.42/163.12 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_notin__set__sublistI,axiom,
% 163.42/163.12 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_in__set__takeD,axiom,
% 163.42/163.12 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_in__set__sublistD,axiom,
% 163.42/163.12 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__ConsD,axiom,
% 163.42/163.12 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))))
% 163.42/163.12 => ( V_y_2 = V_x_2
% 163.42/163.12 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_take__Suc__Cons,axiom,
% 163.42/163.12 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_length__take,axiom,
% 163.42/163.12 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_take__take,axiom,
% 163.42/163.12 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),V_m)),V_xs) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 163.42/163.12 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_sublist__upt__eq__take,axiom,
% 163.42/163.12 ! [V_n_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_l_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_card__length,axiom,
% 163.42/163.12 ! [V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_all__set__conv__all__nth,axiom,
% 163.42/163.12 ! [V_Pa_2,V_xs_2,T_b] :
% 163.42/163.12 ( ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.12 <=> ! [B_i] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.12 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__size__estimation,axiom,
% 163.42/163.12 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__size__estimation_H,axiom,
% 163.42/163.12 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_in__lists__conv__set,axiom,
% 163.42/163.12 ! [V_A_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 163.42/163.12 <=> ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_length__pos__if__in__set,axiom,
% 163.42/163.12 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_in__set__conv__nth,axiom,
% 163.42/163.12 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 <=> ? [B_i] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.12 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth__mem,axiom,
% 163.42/163.12 ! [V_xs_2,T_b,V_n_2] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lists__eq__set,axiom,
% 163.42/163.12 ! [V_A_2,T_b] : c_List_Olists(T_b,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__conv__nth,axiom,
% 163.42/163.12 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_finite__lists__length__eq,axiom,
% 163.42/163.12 ! [V_n_2,V_A_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_finite__lists__length__le,axiom,
% 163.42/163.12 ! [V_n_2,V_A_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__iff__zip,axiom,
% 163.42/163.12 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 163.42/163.12 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.42/163.12 & ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),B_x)) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__zip,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_c)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_b,T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),tc_Nat_Onat),c_Product__Type_OPair(T_b,T_c)),hAPP(c_List_Onth(T_b),V_xs_2))),hAPP(c_List_Onth(T_c),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_take__zip,axiom,
% 163.42/163.12 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Otake(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_b),V_n),V_ys)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_length__zip,axiom,
% 163.42/163.12 ! [V_ys,V_xs,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(T_a,T_b))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_zip__Cons__Cons,axiom,
% 163.42/163.12 ! [V_ys,V_y,V_xs,V_x,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__eq__iff__zip__eq,axiom,
% 163.42/163.12 ! [T_b,V_ys_2,V_xs_2] :
% 163.42/163.12 ( V_xs_2 = V_ys_2
% 163.42/163.12 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.42/163.12 & ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_zip__same,axiom,
% 163.42/163.12 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2))))
% 163.42/163.12 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 & V_a_2 = V_b_2 ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__zip__leftD,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__zip__rightD,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_in__set__zipE,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 163.42/163.12 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth__zip,axiom,
% 163.42/163.12 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)))
% 163.42/163.12 => hAPP(hAPP(c_List_Onth(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys),V_i)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_greaterThanLessThan__upto,axiom,
% 163.42/163.12 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listsum__setsum__nth,axiom,
% 163.42/163.12 ! [V_xs_2,T_b] :
% 163.42/163.12 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.12 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__upto,axiom,
% 163.42/163.12 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_atLeastAtMost__upto,axiom,
% 163.42/163.12 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 163.42/163.12 ! [V_ns_2] :
% 163.42/163.12 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.12 <=> ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 163.42/163.12 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_elem__le__listsum__nat,axiom,
% 163.42/163.12 ! [V_ns,V_k] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listsum__simps_I2_J,axiom,
% 163.42/163.12 ! [V_xs,V_x,T_a] :
% 163.42/163.12 ( class_Groups_Omonoid__add(T_a)
% 163.42/163.12 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_atLeastLessThan__upto,axiom,
% 163.42/163.12 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_greaterThanAtMost__upto,axiom,
% 163.42/163.12 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nat__list__def,axiom,
% 163.42/163.12 ! [V_l_2] :
% 163.42/163.12 ( c_List_Onat__list(V_l_2)
% 163.42/163.12 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__size__pointwise,axiom,
% 163.42/163.12 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 163.42/163.12 ( ! [B_x] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_b,V_g_2,V_xs_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listsum__update__nat,axiom,
% 163.42/163.12 ! [V_n,V_ns,V_k] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns)))
% 163.42/163.12 => hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat,V_ns),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns)),V_n)),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_butlast__take,axiom,
% 163.42/163.12 ! [V_xs,T_a,V_n] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.12 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__update__beyond,axiom,
% 163.42/163.12 ! [V_x,V_i,V_xs,T_a] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i))
% 163.42/163.12 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth__list__update__neq,axiom,
% 163.42/163.12 ! [V_x,V_xs,T_a,V_j,V_i] :
% 163.42/163.12 ( V_i != V_j
% 163.42/163.12 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__update__id,axiom,
% 163.42/163.12 ! [V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)) = V_xs ).
% 163.42/163.12
% 163.42/163.12 fof(fact_butlast__list__update,axiom,
% 163.42/163.12 ! [V_x,V_xs,T_a,V_k] :
% 163.42/163.12 ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 163.42/163.12 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Obutlast(T_a,V_xs) )
% 163.42/163.12 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 163.42/163.12 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = hAPP(hAPP(c_List_Olist__update(T_a,c_List_Obutlast(T_a,V_xs)),V_k),V_x) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_length__list__update,axiom,
% 163.42/163.12 ! [V_x,V_i,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_zip__update,axiom,
% 163.42/163.12 ! [V_y,V_ys,V_x,V_i,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),V_y)) = hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_update__zip,axiom,
% 163.42/163.12 ! [V_xy,V_i,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),V_xy) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(c_Product__Type_Ofst(T_a,T_b),V_xy))),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),hAPP(c_Product__Type_Osnd(T_a,T_b),V_xy))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__update__overwrite,axiom,
% 163.42/163.12 ! [V_y,V_x,V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i),V_y) = hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__update__swap,axiom,
% 163.42/163.12 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 163.42/163.12 ( V_i != V_i_H
% 163.42/163.12 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i_H),V_x_H) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i_H),V_x_H)),V_i),V_x) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__update__code_I2_J,axiom,
% 163.42/163.12 ! [V_y,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__update__code_I3_J,axiom,
% 163.42/163.12 ! [V_y,V_i,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_i)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__update_Osimps_I2_J,axiom,
% 163.42/163.12 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_in__set__butlastD,axiom,
% 163.42/163.12 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__update__subsetI,axiom,
% 163.42/163.12 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__update__subset__insert,axiom,
% 163.42/163.12 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth__list__update,axiom,
% 163.42/163.12 ! [V_x,V_j,V_xs,T_a,V_i] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.12 => ( ( V_i = V_j
% 163.42/163.12 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = V_x )
% 163.42/163.12 & ( V_i != V_j
% 163.42/163.12 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__update__same__conv,axiom,
% 163.42/163.12 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.12 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 163.42/163.12 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth__list__update__eq,axiom,
% 163.42/163.12 ! [V_x,V_xs,T_a,V_i] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.12 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i) = V_x ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_take__butlast,axiom,
% 163.42/163.12 ! [V_xs,T_a,V_n] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.12 => hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_length__butlast,axiom,
% 163.42/163.12 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__update__memI,axiom,
% 163.42/163.12 ! [V_x_2,V_xs_2,T_b,V_n_2] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_n_2),V_x_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_butlast__conv__take,axiom,
% 163.42/163.12 ! [V_xs,T_a] : c_List_Obutlast(T_a,V_xs) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel1__iff__update,axiom,
% 163.42/163.12 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 163.42/163.12 <=> ? [B_y,B_n] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2))
% 163.42/163.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.12 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_distinct__list__update,axiom,
% 163.42/163.12 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 163.42/163.12 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_distinct__upto,axiom,
% 163.42/163.12 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_distinct__take,axiom,
% 163.42/163.12 ! [V_i,V_xs,T_a] :
% 163.42/163.12 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.42/163.12 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_distinct__sublistI,axiom,
% 163.42/163.12 ! [V_I_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.12 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_distinct__zipI1,axiom,
% 163.42/163.12 ! [V_ys,T_b,V_xs,T_a] :
% 163.42/163.12 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.42/163.12 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_distinct__zipI2,axiom,
% 163.42/163.12 ! [V_xs,T_b,V_ys,T_a] :
% 163.42/163.12 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 163.42/163.12 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_distinct_Osimps_I2_J,axiom,
% 163.42/163.12 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 163.42/163.12 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_distinct__card,axiom,
% 163.42/163.12 ! [V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.12 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_card__distinct,axiom,
% 163.42/163.12 ! [V_xs_2,T_b] :
% 163.42/163.12 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 163.42/163.12 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_distinct__conv__nth,axiom,
% 163.42/163.12 ! [V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.12 <=> ! [B_i] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.12 => ! [B_j] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.12 => ( B_i != B_j
% 163.42/163.12 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth__eq__iff__index__eq,axiom,
% 163.42/163.12 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.12 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2)
% 163.42/163.12 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 163.42/163.12 ! [V_xs_2,T_b] :
% 163.42/163.12 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.12 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.12 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_COMBI(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Nitpick_Ocard_H__def,axiom,
% 163.42/163.12 ! [V_A_2,T_b] :
% 163.42/163.12 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => c_Nitpick_Ocard_H(T_b,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b)))) )
% 163.42/163.12 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth__take__lemma,axiom,
% 163.42/163.12 ! [V_ys,V_xs,T_a,V_k] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)))
% 163.42/163.12 => ( ! [B_i] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 163.42/163.12 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 163.42/163.12 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__remove1__eq,axiom,
% 163.42/163.12 ! [V_x_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.12 => hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_take__Cons__number__of,axiom,
% 163.42/163.12 ! [V_xs,V_x,T_a,V_v] :
% 163.42/163.12 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.12 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 163.42/163.12 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.12 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lists_ONil,axiom,
% 163.42/163.12 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olists(T_b,V_A_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__Nil1,axiom,
% 163.42/163.12 ! [V_r_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 163.42/163.12 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__Nil2,axiom,
% 163.42/163.12 ! [V_r_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2)))
% 163.42/163.12 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_distinct__butlast,axiom,
% 163.42/163.12 ! [T_a,V_xs] :
% 163.42/163.12 ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.12 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.42/163.12 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_distinct__remove1,axiom,
% 163.42/163.12 ! [V_x,V_xs,T_a] :
% 163.42/163.12 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.42/163.12 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_distinct_Osimps_I1_J,axiom,
% 163.42/163.12 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_butlast_Osimps_I1_J,axiom,
% 163.42/163.12 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_butlast_Osimps_I2_J,axiom,
% 163.42/163.12 ! [V_x,T_a,V_xs] :
% 163.42/163.12 ( ( V_xs = c_List_Olist_ONil(T_a)
% 163.42/163.12 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 163.42/163.12 & ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.12 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Obutlast(T_a,V_xs)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list_Osimps_I2_J,axiom,
% 163.42/163.12 ! [V_list_H,V_a_H,T_a] : c_List_Olist_ONil(T_a) != hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list_Osimps_I3_J,axiom,
% 163.42/163.12 ! [V_list_H,V_a_H,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) != c_List_Olist_ONil(T_a) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_remove1_Osimps_I2_J,axiom,
% 163.42/163.12 ! [V_xs,T_a,V_y,V_x] :
% 163.42/163.12 ( ( V_x = V_y
% 163.42/163.12 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 163.42/163.12 & ( V_x != V_y
% 163.42/163.12 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Oremove1(T_a,V_x,V_xs)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_upto__empty,axiom,
% 163.42/163.12 ! [V_i,V_j] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 163.42/163.12 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_take__eq__Nil,axiom,
% 163.42/163.12 ! [V_xs_2,V_n_2,T_b] :
% 163.42/163.12 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 163.42/163.12 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.12 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_take__0,axiom,
% 163.42/163.12 ! [V_xs,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = c_List_Olist_ONil(T_a) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_take__Nil,axiom,
% 163.42/163.12 ! [V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_sublist__nil,axiom,
% 163.42/163.12 ! [V_A_2,T_b] : c_List_Osublist(T_b,c_List_Olist_ONil(T_b),V_A_2) = c_List_Olist_ONil(T_b) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_remove1__commute,axiom,
% 163.42/163.12 ! [V_zs,V_y,V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Oremove1(T_a,V_y,V_zs)) = c_List_Oremove1(T_a,V_y,c_List_Oremove1(T_a,V_x,V_zs)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_remove1_Osimps_I1_J,axiom,
% 163.42/163.12 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrelp_Oequations_I1_J,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrelp_ONil,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_zip__Nil,axiom,
% 163.42/163.12 ! [V_ys,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Olist_ONil(T_a)),V_ys) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_zip_Osimps_I1_J,axiom,
% 163.42/163.12 ! [V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list_Osize_I1_J,axiom,
% 163.42/163.12 ! [V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,c_List_Olist_ONil(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listsum__simps_I1_J,axiom,
% 163.42/163.12 ! [T_a] :
% 163.42/163.12 ( class_Groups_Omonoid__add(T_a)
% 163.42/163.12 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list_Osize_I3_J,axiom,
% 163.42/163.12 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_length__0__conv,axiom,
% 163.42/163.12 ! [V_xs_2,T_b] :
% 163.42/163.12 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.12 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__empty,axiom,
% 163.42/163.12 ! [V_xs_2,T_b] :
% 163.42/163.12 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.12 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__empty2,axiom,
% 163.42/163.12 ! [V_xs_2,T_b] :
% 163.42/163.12 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 163.42/163.12 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 163.42/163.12 ! [T_b] : hAPP(c_List_Oset(T_b),c_List_Olist_ONil(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__update__code_I1_J,axiom,
% 163.42/163.12 ! [V_y,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_y) = c_List_Olist_ONil(T_a) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__update_Osimps_I1_J,axiom,
% 163.42/163.12 ! [V_v,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_v) = c_List_Olist_ONil(T_a) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__update__nonempty,axiom,
% 163.42/163.12 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 163.42/163.12 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 163.42/163.12 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_remove1__idem,axiom,
% 163.42/163.12 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_notin__set__remove1,axiom,
% 163.42/163.12 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_y_2,V_xs_2)))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_in__set__remove1,axiom,
% 163.42/163.12 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 163.42/163.12 ( V_a_2 != V_b_2
% 163.42/163.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_b_2,V_xs_2))))
% 163.42/163.12 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_sublist__empty,axiom,
% 163.42/163.12 ! [V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__remove1__subset,axiom,
% 163.42/163.12 ! [V_xs_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_length__greater__0__conv,axiom,
% 163.42/163.12 ! [V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.12 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_take__1__Cons,axiom,
% 163.42/163.12 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_not__Nil__listrel1,axiom,
% 163.42/163.12 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_not__listrel1__Nil,axiom,
% 163.42/163.12 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel_ONil,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lexord__Nil__right,axiom,
% 163.42/163.12 ! [V_r_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olexord(T_b,V_r_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Nil__notin__lex,axiom,
% 163.42/163.12 ! [V_r_2,V_ys_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_ys_2)),c_List_Olex(T_b,V_r_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Nil2__notin__lex,axiom,
% 163.42/163.12 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_take__Cons,axiom,
% 163.42/163.12 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_n_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_upto_Osimps,axiom,
% 163.42/163.12 ! [V_j,V_i] :
% 163.42/163.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 163.42/163.12 => c_List_Oupto(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),V_i),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j)) )
% 163.42/163.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 163.42/163.12 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_sublist__singleton,axiom,
% 163.42/163.12 ! [V_x_2,T_b,V_A_2] :
% 163.42/163.12 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 163.42/163.12 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) )
% 163.42/163.12 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 163.42/163.12 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = c_List_Olist_ONil(T_b) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_lists__empty,axiom,
% 163.42/163.12 ! [T_b] : c_List_Olists(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_take__Cons_H,axiom,
% 163.42/163.12 ! [V_xs,V_x,T_a,V_n] :
% 163.42/163.12 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.12 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 163.42/163.12 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.12 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_upto__rec__number__of,axiom,
% 163.42/163.12 ! [V_n,V_m] :
% 163.42/163.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 163.42/163.12 => c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n))) )
% 163.42/163.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 163.42/163.12 => c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listrel__Nil,axiom,
% 163.42/163.12 ! [V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__Cons__sing__Nil,axiom,
% 163.42/163.12 ! [V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_b,tc_List_Olist(T_b),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))),V_A_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_length__remove1,axiom,
% 163.42/163.12 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 163.42/163.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_upto_Opsimps,axiom,
% 163.42/163.12 ! [V_j_2,V_i_2] :
% 163.42/163.12 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_i_2),V_j_2)))
% 163.42/163.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 163.42/163.12 => c_List_Oupto(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),V_i_2),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) )
% 163.42/163.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 163.42/163.12 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_select,axiom,
% 163.42/163.12 ! [V_s_2,T_b,V_xs_2] :
% 163.42/163.12 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.42/163.12 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listset_Osimps_I1_J,axiom,
% 163.42/163.12 ! [T_b] : c_List_Olistset(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_zip__Cons1,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_c,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_c),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)))),hAPP(c_List_Ozip(T_b,T_c),V_xs_2))),V_ys_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list_Osimps_I5_J,axiom,
% 163.42/163.12 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list_Osimps_I4_J,axiom,
% 163.42/163.12 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listset_Osimps_I2_J,axiom,
% 163.42/163.12 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_zip__Cons,axiom,
% 163.42/163.12 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_sorted__list__of__set__remove,axiom,
% 163.42/163.12 ! [V_x_2,V_A_2,T_b] :
% 163.42/163.12 ( class_Orderings_Olinorder(T_b)
% 163.42/163.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.12 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_List_Oremove1(T_b,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_upto_Opinduct,axiom,
% 163.42/163.12 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 163.42/163.12 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 163.42/163.12 => ( ! [B_i,B_j] :
% 163.42/163.12 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_i),B_j)))
% 163.42/163.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 163.42/163.12 => 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)) )
% 163.42/163.12 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 163.42/163.12 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_sorted__list__of__set__empty,axiom,
% 163.42/163.12 ! [T_b] :
% 163.42/163.12 ( class_Orderings_Olinorder(T_b)
% 163.42/163.12 => c_List_Olinorder__class_Osorted__list__of__set(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_anamorph_Osimps,axiom,
% 163.42/163.12 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 163.42/163.12 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.42/163.12 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2) )
% 163.42/163.12 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.42/163.12 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(tc_List_Olist(T_b),T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),c_COMBB(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),T_b),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),T_c))),c_List_Olist_OCons(T_b))))),hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_sublist__Cons,axiom,
% 163.42/163.12 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_append__eq__Cons__conv,axiom,
% 163.42/163.12 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 163.42/163.12 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 163.42/163.12 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 163.42/163.12 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 163.42/163.12 | ? [B_ys_H] :
% 163.42/163.12 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 163.42/163.12 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Cons__eq__append__conv,axiom,
% 163.42/163.12 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2)
% 163.42/163.12 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 163.42/163.12 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 163.42/163.12 | ? [B_ys_H] :
% 163.42/163.12 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 163.42/163.12 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_append1__eq__conv,axiom,
% 163.42/163.12 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 163.42/163.12 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b)))
% 163.42/163.12 <=> ( V_xs_2 = V_ys_2
% 163.42/163.12 & V_x_2 = V_y_2 ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_append__Cons,axiom,
% 163.42/163.12 ! [V_ys,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_ys) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Cons__eq__appendI,axiom,
% 163.42/163.12 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 163.42/163.12 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 163.42/163.12 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 163.42/163.12 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_append__in__lists__conv,axiom,
% 163.42/163.12 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2)))
% 163.42/163.12 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 163.42/163.12 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_append__eq__appendI,axiom,
% 163.42/163.12 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 163.42/163.12 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 163.42/163.12 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 163.42/163.12 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_append__same__eq,axiom,
% 163.42/163.12 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 163.42/163.12 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_xs_2)
% 163.42/163.12 <=> V_ys_2 = V_zs_2 ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_same__append__eq,axiom,
% 163.42/163.12 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2)
% 163.42/163.12 <=> V_ys_2 = V_zs_2 ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_append__eq__append__conv2,axiom,
% 163.42/163.12 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( 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)
% 163.42/163.12 <=> ? [B_us] :
% 163.42/163.12 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 163.42/163.12 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 163.42/163.12 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 163.42/163.12 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_append__assoc,axiom,
% 163.42/163.12 ! [V_zs,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_listsum__append,axiom,
% 163.42/163.12 ! [V_ys,V_xs,T_a] :
% 163.42/163.12 ( class_Groups_Omonoid__add(T_a)
% 163.42/163.12 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_ys)) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_length__append,axiom,
% 163.42/163.12 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_zip__append,axiom,
% 163.42/163.12 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 163.42/163.12 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_us)
% 163.42/163.12 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_vs)
% 163.42/163.12 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_List_Oappend(T_b),V_us),V_vs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_us)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),V_vs)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_set__append,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_append__Nil,axiom,
% 163.42/163.12 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 163.42/163.12
% 163.42/163.12 fof(fact_Nil__is__append__conv,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 163.42/163.12 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 163.42/163.12 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_append__Nil2,axiom,
% 163.42/163.12 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 163.42/163.12
% 163.42/163.12 fof(fact_self__append__conv,axiom,
% 163.42/163.12 ! [V_ys_2,T_b,V_xs_2] :
% 163.42/163.12 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 163.42/163.12 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_self__append__conv2,axiom,
% 163.42/163.12 ! [V_xs_2,T_b,V_ys_2] :
% 163.42/163.12 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 163.42/163.12 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_append__is__Nil__conv,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 163.42/163.12 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 163.42/163.12 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_append__self__conv,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 163.42/163.12 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_append__self__conv2,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,T_b] :
% 163.42/163.12 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 163.42/163.12 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_eq__Nil__appendI,axiom,
% 163.42/163.12 ! [T_a,V_ys,V_xs] :
% 163.42/163.12 ( V_xs = V_ys
% 163.42/163.12 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_butlast__append,axiom,
% 163.42/163.12 ! [V_xs,T_a,V_ys] :
% 163.42/163.12 ( ( V_ys = c_List_Olist_ONil(T_a)
% 163.42/163.12 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 163.42/163.12 & ( V_ys != c_List_Olist_ONil(T_a)
% 163.42/163.12 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Obutlast(T_a,V_ys)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth__append__length,axiom,
% 163.42/163.12 ! [V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = V_x ).
% 163.42/163.12
% 163.42/163.12 fof(fact_nth__append__length__plus,axiom,
% 163.42/163.12 ! [V_n,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_ys),V_n) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_take__append,axiom,
% 163.42/163.12 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__update__append1,axiom,
% 163.42/163.12 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 163.42/163.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.12 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_i),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_ys) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_list__update__length,axiom,
% 163.42/163.12 ! [V_y,V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_y) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_remove1__append,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)),V_ys_2) )
% 163.42/163.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.12 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oremove1(T_b,V_x_2,V_ys_2)) ) ) ).
% 163.42/163.12
% 163.42/163.12 fof(fact_in__set__butlast__appendI,axiom,
% 163.42/163.12 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.12 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 163.42/163.13 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_butlast__snoc,axiom,
% 163.42/163.13 ! [V_x,V_xs,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_xs ).
% 163.42/163.13
% 163.42/163.13 fof(fact_append__listrel1I,axiom,
% 163.42/163.13 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.13 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 163.42/163.13 & V_us_2 = V_vs_2 )
% 163.42/163.13 | ( V_xs_2 = V_ys_2
% 163.42/163.13 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) )
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_lexord__append__leftI,axiom,
% 163.42/163.13 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2)))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__append,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 163.42/163.13 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.13 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 163.42/163.13 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nth__append,axiom,
% 163.42/163.13 ! [V_ys,V_xs,T_a,V_n] :
% 163.42/163.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) )
% 163.42/163.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__update__append,axiom,
% 163.42/163.13 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 163.42/163.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_n),V_x)),V_ys) )
% 163.42/163.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist__update(T_a,V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_x)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sublist__append,axiom,
% 163.42/163.13 ! [V_A_2,V_l_H_2,V_l_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Osublist(T_b,V_l_2,V_A_2)),c_List_Osublist(T_b,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_l_2)))),V_A_2)))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listrel1I,axiom,
% 163.42/163.13 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 163.42/163.13 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2))
% 163.42/163.13 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_lexord__append__left__rightI,axiom,
% 163.42/163.13 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2)))),c_List_Olexord(T_b,V_r_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_take__Suc__conv__app__nth,axiom,
% 163.42/163.13 ! [V_xs,T_a,V_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),c_List_Olist_ONil(T_a))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 163.42/163.13 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2)))
% 163.42/163.13 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 163.42/163.13 & V_x_2 = V_y_2 )
% 163.42/163.13 | ( V_xs_2 = V_ys_2
% 163.42/163.13 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listrel1E,axiom,
% 163.42/163.13 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 163.42/163.13 => ~ ! [B_x,B_y] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 163.42/163.13 => ! [B_us,B_vs] :
% 163.42/163.13 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 163.42/163.13 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_lexord__append__leftD,axiom,
% 163.42/163.13 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2)))
% 163.42/163.13 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate1__def,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_upd__conv__take__nth__drop,axiom,
% 163.42/163.13 ! [V_a,V_xs,T_a,V_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_a) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_append__take__drop__id,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = V_xs ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__1__Cons,axiom,
% 163.42/163.13 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__Suc__Cons,axiom,
% 163.42/163.13 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nth__via__drop,axiom,
% 163.42/163.13 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 163.42/163.13 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 163.42/163.13 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__drop,axiom,
% 163.42/163.13 ! [V_i,V_xs,T_a] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.42/163.13 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct1__rotate,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 163.42/163.13 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_butlast__drop,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__butlast,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__take,axiom,
% 163.42/163.13 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_take__drop,axiom,
% 163.42/163.13 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_m),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__drop,axiom,
% 163.42/163.13 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__0,axiom,
% 163.42/163.13 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__zip,axiom,
% 163.42/163.13 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Odrop(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_b),V_n),V_ys)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__rotate1,axiom,
% 163.42/163.13 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate1(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__drop,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__rotate1,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_in__set__dropD,axiom,
% 163.42/163.13 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__drop__subset,axiom,
% 163.42/163.13 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__Nil,axiom,
% 163.42/163.13 ! [V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate1__is__Nil__conv,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 163.42/163.13 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__drop__subset__set__drop,axiom,
% 163.42/163.13 ! [V_xs_2,T_b,V_m_2,V_n_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__all,axiom,
% 163.42/163.13 ! [V_n,V_xs,T_a] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n))
% 163.42/163.13 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__eq__Nil,axiom,
% 163.42/163.13 ! [V_xs_2,V_n_2,T_b] :
% 163.42/163.13 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 163.42/163.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_n_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__append,axiom,
% 163.42/163.13 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_append__eq__conv__conj,axiom,
% 163.42/163.13 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 163.42/163.13 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 163.42/163.13 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2)
% 163.42/163.13 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__Cons,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_n_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__Cons_H,axiom,
% 163.42/163.13 ! [V_xs,V_x,T_a,V_n] :
% 163.42/163.13 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.13 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) )
% 163.42/163.13 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.13 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nth__drop,axiom,
% 163.42/163.13 ! [V_xs,T_a,V_i,V_n] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_append__eq__append__conv__if,axiom,
% 163.42/163.13 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] :
% 163.42/163.13 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2)
% 163.42/163.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 163.42/163.13 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)
% 163.42/163.13 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) )
% 163.42/163.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 163.42/163.13 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2
% 163.42/163.13 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nth__drop_H,axiom,
% 163.42/163.13 ! [V_xs,T_a,V_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate__simps,axiom,
% 163.42/163.13 ! [V_xs,V_x,T_b,T_a] :
% 163.42/163.13 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 163.42/163.13 & hAPP(c_List_Orotate1(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),c_List_Olist_ONil(T_b))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__Cons__number__of,axiom,
% 163.42/163.13 ! [V_xs,V_x,T_a,V_v] :
% 163.42/163.13 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.13 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) )
% 163.42/163.13 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.13 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_take__add,axiom,
% 163.42/163.13 ! [V_xs,T_a,V_j,V_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_j),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate1__length01,axiom,
% 163.42/163.13 ! [V_xs,T_a] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 163.42/163.13 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_zip__append2,axiom,
% 163.42/163.13 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Oappend(T_b),V_ys),V_zs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_ys)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_zs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_zip__append1,axiom,
% 163.42/163.13 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_id__take__nth__drop,axiom,
% 163.42/163.13 ! [V_xs,T_a,V_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_take__hd__drop,axiom,
% 163.42/163.13 ! [V_xs,T_a,V_n] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs))),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_hd__drop__conv__nth,axiom,
% 163.42/163.13 ! [V_n,T_a,V_xs] :
% 163.42/163.13 ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_hd_Osimps,axiom,
% 163.42/163.13 ! [V_xs,V_x,T_a] : hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ).
% 163.42/163.13
% 163.42/163.13 fof(fact_hd__append2,axiom,
% 163.42/163.13 ! [V_ys,T_a,V_xs] :
% 163.42/163.13 ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_hd__append,axiom,
% 163.42/163.13 ! [V_ys,T_a,V_xs] :
% 163.42/163.13 ( ( V_xs = c_List_Olist_ONil(T_a)
% 163.42/163.13 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_ys) )
% 163.42/163.13 & ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_hd__in__set,axiom,
% 163.42/163.13 ! [T_b,V_xs_2] :
% 163.42/163.13 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_hd__conv__nth,axiom,
% 163.42/163.13 ! [T_a,V_xs] :
% 163.42/163.13 ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => hAPP(c_List_Ohd(T_a),V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate1__hd__tl,axiom,
% 163.42/163.13 ! [T_a,V_xs] :
% 163.42/163.13 ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => hAPP(c_List_Orotate1(T_a),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),c_List_Olist_ONil(T_a))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_hd__rotate__conv__nth,axiom,
% 163.42/163.13 ! [V_n,T_a,V_xs] :
% 163.42/163.13 ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__tl,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_tl__drop,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_tl_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_xs,V_x,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__tl,axiom,
% 163.42/163.13 ! [V_xs,T_a] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.42/163.13 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__rotate,axiom,
% 163.42/163.13 ! [V_xs_2,V_n_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)))
% 163.42/163.13 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate__rotate,axiom,
% 163.42/163.13 ! [V_xs,V_n,V_m,T_a] : hAPP(c_List_Orotate(T_a,V_m),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_xs) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate0,axiom,
% 163.42/163.13 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate__add,axiom,
% 163.42/163.13 ! [V_n_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_n_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__rotate,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__rotate,axiom,
% 163.42/163.13 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_tl_Osimps_I1_J,axiom,
% 163.42/163.13 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate__is__Nil__conv,axiom,
% 163.42/163.13 ! [V_xs_2,V_n_2,T_b] :
% 163.42/163.13 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 163.42/163.13 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate__def,axiom,
% 163.42/163.13 ! [V_n_2,T_b] : c_List_Orotate(T_b,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_n_2),c_List_Orotate1(T_b)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate1__rotate__swap,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orotate1(T_a),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_tl__append2,axiom,
% 163.42/163.13 ! [V_ys,T_a,V_xs] :
% 163.42/163.13 ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),V_ys) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_take__tl,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate__conv__mod,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(c_List_Orotate(T_a,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__Suc,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate__Suc,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_tl__append,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,hAPP(c_List_Otl(T_b),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b)),V_ys_2))),V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate__id,axiom,
% 163.42/163.13 ! [V_xs,T_a,V_n] :
% 163.42/163.13 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.13 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate__length01,axiom,
% 163.42/163.13 ! [V_n,V_xs,T_a] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 163.42/163.13 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__tl,axiom,
% 163.42/163.13 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_tl__take,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_List_Otl(T_a),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_take__Suc,axiom,
% 163.42/163.13 ! [V_n,T_a,V_xs] :
% 163.42/163.13 ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate__drop__take,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)),hAPP(hAPP(c_List_Otake(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_fold1__set,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 163.42/163.13 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.42/163.13 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Otl(T_b),V_xs_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_lexord__append__rightI,axiom,
% 163.42/163.13 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 163.42/163.13 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldl__Nil,axiom,
% 163.42/163.13 ! [V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),c_List_Olist_ONil(T_c)) = V_a_2 ).
% 163.42/163.13
% 163.42/163.13 fof(fact_start__le__sum,axiom,
% 163.42/163.13 ! [V_ns_2,V_n_2,V_m_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_ns_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldl__assoc,axiom,
% 163.42/163.13 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Groups_Osemigroup__add(T_b)
% 163.42/163.13 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_y_2),V_zs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldl__absorb0,axiom,
% 163.42/163.13 ! [V_zs_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Groups_Omonoid__add(T_b)
% 163.42/163.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_zs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_zs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldl__Cons,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldl__append,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2)),V_ys_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsum__foldl,axiom,
% 163.42/163.13 ! [T_b] :
% 163.42/163.13 ( class_Groups_Omonoid__add(T_b)
% 163.42/163.13 => c_List_Omonoid__add__class_Olistsum(T_b) = c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sum__eq__0__conv,axiom,
% 163.42/163.13 ! [V_ns_2,V_m_2] :
% 163.42/163.13 ( hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.13 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.13 & ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 163.42/163.13 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 163.42/163.13 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 163.42/163.13 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Sup__set__fold,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.42/163.13 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Inf__set__fold,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.42/163.13 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Sup__fin__set__fold,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Lattices_Olattice(T_b)
% 163.42/163.13 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Inf__fin__set__fold,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Lattices_Olattice(T_b)
% 163.42/163.13 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Min__fin__set__fold,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Max__fin__set__fold,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_SUPR__set__fold,axiom,
% 163.42/163.13 ! [V_f_2,V_xs_2,T_c,T_b] :
% 163.42/163.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.42/163.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_INFI__set__fold,axiom,
% 163.42/163.13 ! [V_f_2,V_xs_2,T_c,T_b] :
% 163.42/163.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.42/163.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_elem__le__sum,axiom,
% 163.42/163.13 ! [V_ns_2,V_n_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_ns_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__list__of__set__insert,axiom,
% 163.42/163.13 ! [V_x_2,V_A_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.13 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_lexord__Nil__left,axiom,
% 163.42/163.13 ! [V_r_2,V_y_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 163.42/163.13 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_insort__key_Osimps_I1_J,axiom,
% 163.42/163.13 ! [V_x_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_insort__key_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 163.42/163.13 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) )
% 163.42/163.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 163.42/163.13 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_ys_2)) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__insort,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_insort__key__left__comm,axiom,
% 163.42/163.13 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 163.42/163.13 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),V_xs_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_insort__left__comm,axiom,
% 163.42/163.13 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_fun__left__comm__insort,axiom,
% 163.42/163.13 ! [T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__insort,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_remove1__insort,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) = V_xs_2 ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_insort__not__Nil,axiom,
% 163.42/163.13 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_b) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__insort,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)))
% 163.42/163.13 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_insort__insert__insort__key,axiom,
% 163.42/163.13 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 163.42/163.13 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_insort__insert__insort,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__insort__insert,axiom,
% 163.42/163.13 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.13 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_insort__insert__triv,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__insort__insert,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_insort__insert__key__triv,axiom,
% 163.42/163.13 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 163.42/163.13 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_last__list__update,axiom,
% 163.42/163.13 ! [V_x,V_k,T_a,V_xs] :
% 163.42/163.13 ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 163.42/163.13 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 163.42/163.13 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 163.42/163.13 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Olast(T_a,V_xs) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_last__conv__nth,axiom,
% 163.42/163.13 ! [T_a,V_xs] :
% 163.42/163.13 ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => c_List_Olast(T_a,V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_last_Osimps,axiom,
% 163.42/163.13 ! [V_x,T_a,V_xs] :
% 163.42/163.13 ( ( V_xs = c_List_Olist_ONil(T_a)
% 163.42/163.13 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 163.42/163.13 & ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_last__ConsR,axiom,
% 163.42/163.13 ! [V_x,T_a,V_xs] :
% 163.42/163.13 ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_last__ConsL,axiom,
% 163.42/163.13 ! [V_x,T_a,V_xs] :
% 163.42/163.13 ( V_xs = c_List_Olist_ONil(T_a)
% 163.42/163.13 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_last__append,axiom,
% 163.42/163.13 ! [V_xs,T_a,V_ys] :
% 163.42/163.13 ( ( V_ys = c_List_Olist_ONil(T_a)
% 163.42/163.13 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 163.42/163.13 & ( V_ys != c_List_Olist_ONil(T_a)
% 163.42/163.13 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_last__appendR,axiom,
% 163.42/163.13 ! [V_xs,T_a,V_ys] :
% 163.42/163.13 ( V_ys != c_List_Olist_ONil(T_a)
% 163.42/163.13 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_last__appendL,axiom,
% 163.42/163.13 ! [V_xs,T_a,V_ys] :
% 163.42/163.13 ( V_ys = c_List_Olist_ONil(T_a)
% 163.42/163.13 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_last__in__set,axiom,
% 163.42/163.13 ! [T_b,V_as_2] :
% 163.42/163.13 ( V_as_2 != c_List_Olist_ONil(T_b)
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_last__snoc,axiom,
% 163.42/163.13 ! [V_x,V_xs,T_a] : c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_x ).
% 163.42/163.13
% 163.42/163.13 fof(fact_last__drop,axiom,
% 163.42/163.13 ! [V_xs,T_a,V_n] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_append__butlast__last__id,axiom,
% 163.42/163.13 ! [T_a,V_xs] :
% 163.42/163.13 ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => hAPP(hAPP(c_List_Oappend(T_a),c_List_Obutlast(T_a,V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),c_List_Olast(T_a,V_xs)),c_List_Olist_ONil(T_a))) = V_xs ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_snoc__eq__iff__butlast,axiom,
% 163.42/163.13 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 163.42/163.13 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = V_ys_2
% 163.42/163.13 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 163.42/163.13 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 163.42/163.13 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_lists_Osimps,axiom,
% 163.42/163.13 ! [V_A_2,V_a_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 163.42/163.13 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 163.42/163.13 | ? [B_a,B_l] :
% 163.42/163.13 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 163.42/163.13 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 163.42/163.13 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_select__weigth__select,axiom,
% 163.42/163.13 ! [T_b,V_xs_2] :
% 163.42/163.13 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.42/163.13 => c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_b,V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_inj__mapI,axiom,
% 163.42/163.13 ! [V_f_2,T_c,T_b] :
% 163.42/163.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.13 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_last__map,axiom,
% 163.42/163.13 ! [V_f_2,T_c,T_b,V_xs_2] :
% 163.42/163.13 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.42/163.13 => c_List_Olast(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_b,V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldl__map,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_d,V_a_2,V_g_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,T_b)),T_b),c_COMBB(T_c,T_b,T_d)),V_g_2)),V_f_2),V_a_2),V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate__map,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(c_List_Orotate(T_b,V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__tl,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Otl(T_c),V_xs_2)) = hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_zip__map2,axiom,
% 163.42/163.13 ! [V_ys_2,V_f_2,T_d,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__zip__map2,axiom,
% 163.42/163.13 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_d)),tc_fun(T_e,T_b),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_e),V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),T_c),c_COMBB(T_d,tc_prod(T_c,T_d),T_e)),c_Product__Type_OPair(T_c,T_d))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__zip__map,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_g_2,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_d),V_f_2)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_e),c_Product__Type_OPair(T_c,T_d)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_zip__map1,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_zip__map__map,axiom,
% 163.42/163.13 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),T_d),c_COMBB(T_c,tc_prod(T_b,T_c),T_e)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),V_ys_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_zip__same__conv__map,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))),V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__is__Nil__conv,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 163.42/163.13 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map_Osimps_I1_J,axiom,
% 163.42/163.13 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Nil__is__map__conv,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 163.42/163.13 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__update,axiom,
% 163.42/163.13 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__eq__conv,axiom,
% 163.42/163.13 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)
% 163.42/163.13 <=> ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 163.42/163.13 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__eq__imp__length__eq,axiom,
% 163.42/163.13 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)
% 163.42/163.13 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__map,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsum__mult__const,axiom,
% 163.42/163.13 ! [V_xs_2,V_ca_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( class_Rings_Osemiring__0(T_b)
% 163.42/163.13 => 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) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsum__const__mult,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,V_ca_2,T_c,T_b] :
% 163.42/163.13 ( class_Rings_Osemiring__0(T_b)
% 163.42/163.13 => 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))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsum__0,axiom,
% 163.42/163.13 ! [V_xs_2,T_c,T_b] :
% 163.42/163.13 ( class_Groups_Omonoid__add(T_b)
% 163.42/163.13 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsum__addf,axiom,
% 163.42/163.13 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.13 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsum__subtractf,axiom,
% 163.42/163.13 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( class_Groups_Oab__group__add(T_b)
% 163.42/163.13 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_inj__map__eq__map,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.13 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 163.42/163.13 <=> V_xs_2 = V_ys_2 ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__injective,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 163.42/163.13 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.13 => V_xs_2 = V_ys_2 ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__ident,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 163.42/163.13
% 163.42/163.13 fof(fact_take__map,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__butlast,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Obutlast(T_c,V_xs_2)) = c_List_Obutlast(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__map,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__append,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_hd__map,axiom,
% 163.42/163.13 ! [V_f_2,T_c,T_b,V_xs_2] :
% 163.42/163.13 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.42/163.13 => hAPP(c_List_Ohd(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_b),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__map,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_List_Omap_Oid,axiom,
% 163.42/163.13 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_List_Omap_Oidentity,axiom,
% 163.42/163.13 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_List_Omap_Ocomp,axiom,
% 163.42/163.13 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__comp__map,axiom,
% 163.42/163.13 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_List_Omap_Ocompositionality,axiom,
% 163.42/163.13 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__map,axiom,
% 163.42/163.13 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__size__map,axiom,
% 163.42/163.13 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__inj__on,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 163.42/163.13 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_ys_2)))
% 163.42/163.13 => V_xs_2 = V_ys_2 ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_inj__on__map__eq__map,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 163.42/163.13 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 163.42/163.13 <=> V_xs_2 = V_ys_2 ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nth__map,axiom,
% 163.42/163.13 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.13 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__fun__upd,axiom,
% 163.42/163.13 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 163.42/163.13 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hAPP(hAPP(c_List_Omap(T_b,T_c),c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_y_2,V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__map,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 163.42/163.13 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 163.42/163.13 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsum__abs,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_b,T_b),c_Groups_Oabs__class_Oabs(T_b)),V_xs_2)))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_uminus__listsum__map,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( class_Groups_Oab__group__add(T_b)
% 163.42/163.13 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_inj__on__mapI,axiom,
% 163.42/163.13 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2)))
% 163.42/163.13 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),V_A_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_inj__mapD,axiom,
% 163.42/163.13 ! [V_f_2,T_c,T_b] :
% 163.42/163.13 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 163.42/163.13 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_inj__map,axiom,
% 163.42/163.13 ! [V_f_2,T_c,T_b] :
% 163.42/163.13 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 163.42/163.13 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 163.42/163.13 ! [V_f_2,V_xs_2,T_b,T_c] :
% 163.42/163.13 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.42/163.13 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.13 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsum__triv,axiom,
% 163.42/163.13 ! [V_xs_2,V_r_2,T_c,T_b] :
% 163.42/163.13 ( class_Rings_Osemiring__1(T_b)
% 163.42/163.13 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),V_r_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsum__map__remove1,axiom,
% 163.42/163.13 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 163.42/163.13 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 163.42/163.13 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.42/163.13 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.42/163.13 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.13 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b))))) )
% 163.42/163.13 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.13 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_pick__same,axiom,
% 163.42/163.13 ! [V_xs_2,T_b,V_l_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.13 => hAPP(c_Random_Opick(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_l_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_zero__code__numeral__def,axiom,
% 163.42/163.13 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_times__code__numeral__code,axiom,
% 163.42/163.13 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 163.42/163.13 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 163.42/163.13 ! [V_m_2,V_n_2] :
% 163.42/163.13 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 163.42/163.13 <=> V_n_2 = V_m_2 ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_one__code__numeral__def,axiom,
% 163.42/163.13 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_less__code__numeral__code,axiom,
% 163.42/163.13 ! [V_m_2,V_n_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 163.42/163.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 163.42/163.13 ! [V_y_2,V_x_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.42/163.13 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 163.42/163.13 <=> V_x_2 = V_y_2 ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__fst__zip,axiom,
% 163.42/163.13 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 163.42/163.13 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 163.42/163.13 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_xs_2 ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__snd__zip,axiom,
% 163.42/163.13 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 163.42/163.13 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 163.42/163.13 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_ys_2 ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_number__of__code__numeral__def,axiom,
% 163.42/163.13 c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Code__Numeral_Ocode__numeral,tc_Int_Oint,c_Code__Numeral_Oof__nat),c_Int_Onat) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_zip__map__fst__snd,axiom,
% 163.42/163.13 ! [V_zs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2)) = V_zs_2 ).
% 163.42/163.13
% 163.42/163.13 fof(fact_plus__code__numeral__code,axiom,
% 163.42/163.13 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_less__eq__code__numeral__code,axiom,
% 163.42/163.13 ! [V_m_2,V_n_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 163.42/163.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_subtract__code__numeral__code,axiom,
% 163.42/163.13 ! [V_m,V_n] : hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_pick__member,axiom,
% 163.42/163.13 ! [V_xs_2,T_b,V_i_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Random_Opick(T_b,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_zip__eq__conv,axiom,
% 163.42/163.13 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 163.42/163.13 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 163.42/163.13 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 163.42/163.13 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2) = V_xs_2
% 163.42/163.13 & hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2) = V_ys_2 ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__size__conv__listsum,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_b,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_code__numeral__not__eq__zero,axiom,
% 163.42/163.13 ! [V_i_2] :
% 163.42/163.13 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.42/163.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_i_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 163.42/163.13 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 163.42/163.13 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.13 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 163.42/163.13 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 163.42/163.13 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_select__weight__member,axiom,
% 163.42/163.13 ! [V_s_2,V_xs_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_select__weight__def,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_b,V_xs_2))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_select__def,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : c_Random_Oselect(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_b),V_xs_2)),c_Code__Numeral_Onat__of))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsum__mono,axiom,
% 163.42/163.13 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 163.42/163.13 ( ( class_Groups_Omonoid__add(T_c)
% 163.42/163.13 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 163.42/163.13 => ( ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_g_2),V_xs_2)))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nat__of__inverse,axiom,
% 163.42/163.13 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 163.42/163.13
% 163.42/163.13 fof(fact_of__nat__nat__of,axiom,
% 163.42/163.13 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nat__of__of__nat,axiom,
% 163.42/163.13 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 163.42/163.13
% 163.42/163.13 fof(fact_times__code__numeral__def,axiom,
% 163.42/163.13 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 163.42/163.13 ! [V_l_2,V_k_2] :
% 163.42/163.13 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 163.42/163.13 <=> V_k_2 = V_l_2 ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_code__numeral_Onat__of__inject,axiom,
% 163.42/163.13 ! [V_y_2,V_x_2] :
% 163.42/163.13 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 163.42/163.13 <=> V_x_2 = V_y_2 ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_type__definition__code__numeral,axiom,
% 163.42/163.13 c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral,tc_Nat_Onat,c_Code__Numeral_Onat__of,c_Code__Numeral_Oof__nat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_less__code__numeral__def,axiom,
% 163.42/163.13 ! [V_m_2,V_n_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 163.42/163.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nat__of,axiom,
% 163.42/163.13 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_x_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nat__of__number,axiom,
% 163.42/163.13 ! [V_k] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),V_k)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_k) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_int__of__def,axiom,
% 163.42/163.13 c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Int_Oint,tc_Code__Numeral_Ocode__numeral,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Code__Numeral_Onat__of) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_less__eq__code__numeral__def,axiom,
% 163.42/163.13 ! [V_m_2,V_n_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 163.42/163.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nat__of__code,axiom,
% 163.42/163.13 ! [V_i] : hAPP(c_Code__Numeral_Onat__of,V_i) = c_Code__Numeral_Onat__of__aux(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nat__of__aux__def,axiom,
% 163.42/163.13 ! [V_n,V_i] : c_Code__Numeral_Onat__of__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_i)),V_n) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Suc__code__numeral__def,axiom,
% 163.42/163.13 ! [V_k] : c_Code__Numeral_OSuc__code__numeral(V_k) = hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,V_k))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_minus__code__numeral__def,axiom,
% 163.42/163.13 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_of__nat__inverse,axiom,
% 163.42/163.13 ! [V_y_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.42/163.13 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_plus__code__numeral__def,axiom,
% 163.42/163.13 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_div__code__numeral__def,axiom,
% 163.42/163.13 ! [V_m,V_n] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_mod__code__numeral__def,axiom,
% 163.42/163.13 ! [V_m,V_n] : c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m) = hAPP(c_Code__Numeral_Oof__nat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Code__Numeral_Onat__of,V_n),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_code__numeral__decr,axiom,
% 163.42/163.13 ! [V_k] :
% 163.42/163.13 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_k)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Code__Numeral_Onat__of,V_k))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 163.42/163.13 ! [V_i_2,V_xq_2] : hAPP(c_New__DSequence_Opos__not__seq(V_xq_2),V_i_2) = c_Lazy__Sequence_Ohb__not__seq(hAPP(V_xq_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_i_2))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_partition__set,axiom,
% 163.42/163.13 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 163.42/163.13 ( 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)
% 163.42/163.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_yes_2)),hAPP(c_List_Oset(T_b),V_no_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_partition__P,axiom,
% 163.42/163.13 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 163.42/163.13 ( 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)
% 163.42/163.13 => ( ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 163.42/163.13 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.13 & ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 163.42/163.13 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_partition_Osimps_I1_J,axiom,
% 163.42/163.13 ! [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)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_partition_Osimps_I2_J,axiom,
% 163.42/163.13 ! [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)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_lists__IntI,axiom,
% 163.42/163.13 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 163.42/163.13 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_l_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_lists__Int__eq,axiom,
% 163.42/163.13 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_B_2))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsp_ONil,axiom,
% 163.42/163.13 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsp_Oequations_I1_J,axiom,
% 163.42/163.13 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_in__listsp__conv__set,axiom,
% 163.42/163.13 ! [V_xs_2,V_A_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 163.42/163.13 <=> ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsp__conj__eq,axiom,
% 163.42/163.13 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_A_2)),V_B_2)),V_x_2))
% 163.42/163.13 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 163.42/163.13 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsp__inf__eq,axiom,
% 163.42/163.13 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsp__infI,axiom,
% 163.42/163.13 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 163.42/163.13 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 163.42/163.13 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsp_Oequations_I2_J,axiom,
% 163.42/163.13 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 163.42/163.13 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 163.42/163.13 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_append__in__listsp__conv,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 163.42/163.13 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 163.42/163.13 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsp__mono,axiom,
% 163.42/163.13 ! [V_B_2,V_A_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsp__lists__eq,axiom,
% 163.42/163.13 ! [V_x_2,V_A_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 163.42/163.13 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_product_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : c_Enum_Oproduct(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Omap(T_c,tc_prod(T_b,T_c)),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__def,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 163.42/163.13 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 163.42/163.13 & ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__map2,axiom,
% 163.42/163.13 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( 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))
% 163.42/163.13 <=> 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) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__map1,axiom,
% 163.42/163.13 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( 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)
% 163.42/163.13 <=> 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) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__dropI,axiom,
% 163.42/163.13 ! [V_n_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2)
% 163.42/163.13 => 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)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__appendI,axiom,
% 163.42/163.13 ! [V_d_2,V_ca_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2)
% 163.42/163.13 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_ca_2,V_d_2)
% 163.42/163.13 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__append,axiom,
% 163.42/163.13 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 163.42/163.13 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 163.42/163.13 => ( 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))
% 163.42/163.13 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 163.42/163.13 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__Cons,axiom,
% 163.42/163.13 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( 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))
% 163.42/163.13 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 163.42/163.13 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__takeI,axiom,
% 163.42/163.13 ! [V_n_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 163.42/163.13 => 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)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__eq,axiom,
% 163.42/163.13 ! [T_b,V_ys_2,V_xs_2] :
% 163.42/163.13 ( V_xs_2 = V_ys_2
% 163.42/163.13 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__lengthD,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 163.42/163.13 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__Nil,axiom,
% 163.42/163.13 ! [V_ys_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2)
% 163.42/163.13 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__Nil2,axiom,
% 163.42/163.13 ! [V_xs_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c))
% 163.42/163.13 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_product_Osimps_I1_J,axiom,
% 163.42/163.13 ! [V_uu,T_b,T_a] : c_Enum_Oproduct(T_a,T_b,c_List_Olist_ONil(T_a),V_uu) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__conv__all__nth,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 163.42/163.13 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 163.42/163.13 & ! [B_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.13 => 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))) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__nthD,axiom,
% 163.42/163.13 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.13 => 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))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__nthD2,axiom,
% 163.42/163.13 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 163.42/163.13 => 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))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__update__cong,axiom,
% 163.42/163.13 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.13 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 163.42/163.13 => 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)) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__update__cong2,axiom,
% 163.42/163.13 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 163.42/163.13 => 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)) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__product,axiom,
% 163.42/163.13 ! [V_ys,T_b,V_xs,T_a] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.42/163.13 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 163.42/163.13 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_product__list__set,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_List_Oset(T_c),V_ys_2))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sublists__powset,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_Osublists(T_b,V_xs_2))) = hAPP(c_Set_OPow(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__sublists,axiom,
% 163.42/163.13 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_Enum_Osublists(T_a,V_xs)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sublists_Osimps_I1_J,axiom,
% 163.42/163.13 ! [T_a] : c_Enum_Osublists(T_a,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sublists_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] : c_Enum_Osublists(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_Enum_Osublists(T_b,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_b)),tc_fun(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(tc_List_Olist(T_b))),c_List_Oappend(tc_List_Olist(T_b))),hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_b))))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__set__sublists,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.13 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),c_List_Oset(T_b)),c_Enum_Osublists(T_b,V_xs_2)))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__n__lists,axiom,
% 163.42/163.13 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_enum__the__def,axiom,
% 163.42/163.13 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__n__lists,axiom,
% 163.42/163.13 ! [V_n,V_xs,T_a] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.42/163.13 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_n__lists__Nil,axiom,
% 163.42/163.13 ! [T_a,V_n] :
% 163.42/163.13 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.13 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) )
% 163.42/163.13 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.13 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_n__lists_Osimps_I1_J,axiom,
% 163.42/163.13 ! [V_xs,T_a] : c_Enum_On__lists(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xs) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__n__lists,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_Enum_On__lists(T_a,V_n,V_xs)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__n__lists__elem,axiom,
% 163.42/163.13 ! [V_xs_2,V_n_2,V_ys_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))))
% 163.42/163.13 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2I,axiom,
% 163.42/163.13 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] :
% 163.42/163.13 ( ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_a_2),V_b_2))))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) )
% 163.42/163.13 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 163.42/163.13 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_all__nth__imp__all__set,axiom,
% 163.42/163.13 ! [V_x_2,V_Pa_2,V_xs_2,T_b] :
% 163.42/163.13 ( ! [B_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.13 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 163.42/163.13 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.42/163.13 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__removeAll__inj__on,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__remdups,axiom,
% 163.42/163.13 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__remdups__leq,axiom,
% 163.42/163.13 ! [V_xs,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__remdups__id,axiom,
% 163.42/163.13 ! [V_xs,T_a] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.42/163.13 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__removeAll,axiom,
% 163.42/163.13 ! [V_x,V_xs,T_a] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.42/163.13 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_remdups__id__iff__distinct,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 163.42/163.13 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__remdups,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__remdups__eq,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 163.42/163.13 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_remdups__remdups,axiom,
% 163.42/163.13 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_remdups__eq__nil__iff,axiom,
% 163.42/163.13 ! [V_x_2,T_b] :
% 163.42/163.13 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 163.42/163.13 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_removeAll_Osimps_I1_J,axiom,
% 163.42/163.13 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_remdups__eq__nil__right__iff,axiom,
% 163.42/163.13 ! [V_x_2,T_b] :
% 163.42/163.13 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 163.42/163.13 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_remdups_Osimps_I1_J,axiom,
% 163.42/163.13 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_removeAll_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_xs,T_a,V_y,V_x] :
% 163.42/163.13 ( ( V_x = V_y
% 163.42/163.13 => hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) )
% 163.42/163.13 & ( V_x != V_y
% 163.42/163.13 => hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),hAPP(c_List_OremoveAll(T_a,V_x),V_xs)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_removeAll__append,axiom,
% 163.42/163.13 ! [V_ys,V_xs,V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs)),hAPP(c_List_OremoveAll(T_a,V_x),V_ys)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_remdups__map__remdups,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremdups(T_c,V_xs_2))) = c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_remove1__remdups,axiom,
% 163.42/163.13 ! [V_x,V_xs,T_a] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.42/163.13 => c_List_Oremove1(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oremove1(T_a,V_x,V_xs)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_removeAll__id,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__remove1__removeAll,axiom,
% 163.42/163.13 ! [V_x,V_xs,T_a] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.42/163.13 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_remdups_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Oremdups(T_b,V_xs_2) )
% 163.42/163.13 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oremdups(T_b,V_xs_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__remdups__card__conv,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__removeAll__inj,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.13 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__removeAll,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__remdups__concat,axiom,
% 163.42/163.13 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,c_List_Oconcat(T_b,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)),c_List_Oset(T_b))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sort__key__simps_I1_J,axiom,
% 163.42/163.13 ! [V_f_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldl__conv__concat,axiom,
% 163.42/163.13 ! [V_xss_2,V_xs_2,T_b] : hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oconcat(T_b,V_xss_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_concat__conv__foldl,axiom,
% 163.42/163.13 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),c_List_Olist_ONil(T_b)),V_xss_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__sort,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__sort,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__sort,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 163.42/163.13 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_concat_Osimps_I1_J,axiom,
% 163.42/163.13 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_concat_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_xs,V_x,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),V_x),c_List_Oconcat(T_a,V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_concat__eq__Nil__conv,axiom,
% 163.42/163.13 ! [V_xss_2,T_b] :
% 163.42/163.13 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 163.42/163.13 <=> ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 163.42/163.13 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Nil__eq__concat__conv,axiom,
% 163.42/163.13 ! [V_xss_2,T_b] :
% 163.42/163.13 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 163.42/163.13 <=> ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 163.42/163.13 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__concat,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__concat,axiom,
% 163.42/163.13 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oconcat(T_b,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__concat,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oconcat(T_b,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)),c_List_Oset(T_b)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sort__key__simps_I2_J,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_concat__append,axiom,
% 163.42/163.13 ! [V_ys,V_xs,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Oappend(tc_List_Olist(T_a)),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oconcat(T_a,V_xs)),c_List_Oconcat(T_a,V_ys)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sort__foldl__insort,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))),c_List_Olist_ONil(T_b)),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_concat__eq__concat__iff,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,T_b] :
% 163.42/163.13 ( ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 163.42/163.13 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 163.42/163.13 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 163.42/163.13 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_concat__injective,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,T_b] :
% 163.42/163.13 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 163.42/163.13 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 163.42/163.13 => ( ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 163.42/163.13 => V_xs_2 = V_ys_2 ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_concat__map__singleton,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_c),c_List_Olist_OCons(T_b)),V_f_2)),c_List_Olist_ONil(T_b))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_n__lists_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_xs_2,V_n_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose_Osimps_I3_J,axiom,
% 163.42/163.13 ! [V_xss_2,V_xs_2,V_x_2,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose__aux__filter__head,axiom,
% 163.42/163.13 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),c_List_Ohd(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter__concat,axiom,
% 163.42/163.13 ! [V_xs_2,V_p_2,T_b] : hAPP(c_List_Ofilter(T_b,V_p_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Ofilter(T_b,V_p_2)),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter__sort,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => 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)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__filter,axiom,
% 163.42/163.13 ! [V_Pa_2,V_xs_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.13 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter__is__subset,axiom,
% 163.42/163.13 ! [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))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter__id__conv,axiom,
% 163.42/163.13 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.13 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2
% 163.42/163.13 <=> ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sum__length__filter__compl,axiom,
% 163.42/163.13 ! [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) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__filter__le,axiom,
% 163.42/163.13 ! [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))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter__filter,axiom,
% 163.42/163.13 ! [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) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter__remove1,axiom,
% 163.42/163.13 ! [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)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_remove1__filter__not,axiom,
% 163.42/163.13 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 163.42/163.13 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 => 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) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter__insort__triv,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 => 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) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_partition__filter1,axiom,
% 163.42/163.13 ! [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) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter__map,axiom,
% 163.42/163.13 ! [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)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter_Osimps_I1_J,axiom,
% 163.42/163.13 ! [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) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose_Osimps_I1_J,axiom,
% 163.42/163.13 ! [T_a] : c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 163.42/163.13 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 => 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)) )
% 163.42/163.13 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 => 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) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter__append,axiom,
% 163.42/163.13 ! [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)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter__empty__conv,axiom,
% 163.42/163.13 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.13 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 163.42/163.13 <=> ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_removeAll__filter__not__eq,axiom,
% 163.42/163.13 ! [V_x_2,T_b] : c_List_OremoveAll(T_b,V_x_2) = c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(c_fequal,V_x_2))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_remdups__filter,axiom,
% 163.42/163.13 ! [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)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_removeAll__filter__not,axiom,
% 163.42/163.13 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 163.42/163.13 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 => 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) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_partition__filter2,axiom,
% 163.42/163.13 ! [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) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_xss,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss)) = c_List_Otranspose(T_a,V_xss) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nth__transpose,axiom,
% 163.42/163.13 ! [V_xs_2,T_b,V_i_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 163.42/163.13 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose__map__map,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),c_List_Otranspose(T_c,V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__filter,axiom,
% 163.42/163.13 ! [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)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__filter__map,axiom,
% 163.42/163.13 ! [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)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__filter__less,axiom,
% 163.42/163.13 ! [V_Pa_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 => 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))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_partition__filter__conv,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__minus__filter__out,axiom,
% 163.42/163.13 ! [V_y_2,V_xs_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter__in__sublist,axiom,
% 163.42/163.13 ! [V_s_2,V_xs_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.13 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_b,V_xs_2,V_s_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose__empty,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 163.42/163.13 <=> ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.13 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__filter__conv__card,axiom,
% 163.42/163.13 ! [V_xs_2,V_p_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_b),V_xs_2))))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose__aux__filter__tail,axiom,
% 163.42/163.13 ! [V_xss_2,T_b] : c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otl(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose_Opsimps_I3_J,axiom,
% 163.42/163.13 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)))
% 163.42/163.13 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose_Opsimps_I2_J,axiom,
% 163.42/163.13 ! [V_xss_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)))
% 163.42/163.13 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)) = c_List_Otranspose(T_b,V_xss_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sublist__shift__lemma__Suc,axiom,
% 163.42/163.13 ! [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)))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_select__weigth__drop__zero,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_pick__drop__zero,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : c_Random_Opick(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_b,V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose_Opsimps_I1_J,axiom,
% 163.42/163.13 ! [T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),c_List_Olist_ONil(tc_List_Olist(T_b))))
% 163.42/163.13 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose__max__length,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose__aux__max,axiom,
% 163.42/163.13 ! [V_xss_2,T_c,V_xs_2,T_b] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_c)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldr_Osimps_I1_J,axiom,
% 163.42/163.13 ! [V_a_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c),V_a_2) = V_a_2 ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldr_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldr__append,axiom,
% 163.42/163.13 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,c_List_Ofoldr(T_c,T_b,V_f_2,V_ys_2,V_a_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldr__conv__foldl,axiom,
% 163.42/163.13 ! [V_a_2,V_xs_2,T_b] :
% 163.42/163.13 ( class_Groups_Oab__semigroup__add(T_b)
% 163.42/163.13 => c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldr__map,axiom,
% 163.42/163.13 ! [V_a_2,V_xs_2,V_f_2,T_d,V_g_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_g_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_d,T_b,hAPP(c_Fun_Ocomp(T_c,tc_fun(T_b,T_b),T_d,V_g_2),V_f_2),V_xs_2,V_a_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldl__foldr1,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( class_Groups_Omonoid__add(T_b)
% 163.42/163.13 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_xs_2) = c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldl__foldr1__lemma,axiom,
% 163.42/163.13 ! [V_xs_2,V_a_2,T_b] :
% 163.42/163.13 ( class_Groups_Omonoid__add(T_b)
% 163.42/163.13 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__transpose,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sublist__def,axiom,
% 163.42/163.13 ! [V_A_2,V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sublist__shift__lemma,axiom,
% 163.42/163.13 ! [V_i_2,V_xs_2,V_A_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_b,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_atLeastLessThan__upt,axiom,
% 163.42/163.13 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__upt,axiom,
% 163.42/163.13 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_upt__Suc,axiom,
% 163.42/163.13 ! [V_j,V_i] :
% 163.42/163.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.42/163.13 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) )
% 163.42/163.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.42/163.13 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_upt__Suc__append,axiom,
% 163.42/163.13 ! [V_j,V_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.42/163.13 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_upt__add__eq__append,axiom,
% 163.42/163.13 ! [V_k,V_j,V_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.42/163.13 => c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),c_List_Oupt(V_j,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_upt__rec,axiom,
% 163.42/163.13 ! [V_j,V_i] :
% 163.42/163.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.42/163.13 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) )
% 163.42/163.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.42/163.13 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_upt__conv__Cons,axiom,
% 163.42/163.13 ! [V_j,V_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.42/163.13 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_upt__conv__Nil,axiom,
% 163.42/163.13 ! [V_i,V_j] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 163.42/163.13 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_upt__eq__Nil__conv,axiom,
% 163.42/163.13 ! [V_j_2,V_i_2] :
% 163.42/163.13 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 163.42/163.13 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_upt__0,axiom,
% 163.42/163.13 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_take__upt,axiom,
% 163.42/163.13 ! [V_n,V_m,V_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)),V_n))
% 163.42/163.13 => hAPP(hAPP(c_List_Otake(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_n)) = c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__list__of__set__range,axiom,
% 163.42/163.13 ! [V_n_2,V_m_2] : c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = c_List_Oupt(V_m_2,V_n_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_hd__upt,axiom,
% 163.42/163.13 ! [V_j,V_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.42/163.13 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_drop__upt,axiom,
% 163.42/163.13 ! [V_j,V_i,V_m] : hAPP(hAPP(c_List_Odrop(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_j)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m),V_j) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__upt,axiom,
% 163.42/163.13 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__upt,axiom,
% 163.42/163.13 ! [V_j,V_i] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_upt__rec__number__of,axiom,
% 163.42/163.13 ! [V_n,V_m] :
% 163.42/163.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)))
% 163.42/163.13 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),c_List_Oupt(hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) )
% 163.42/163.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)))
% 163.42/163.13 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_upt__eq__Cons__conv,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 163.42/163.13 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 163.42/163.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 163.42/163.13 & V_i_2 = V_x_2
% 163.42/163.13 & c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_j_2) = V_xs_2 ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_last__upt,axiom,
% 163.42/163.13 ! [V_j,V_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.42/163.13 => c_List_Olast(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__Suc__upt,axiom,
% 163.42/163.13 ! [V_n_2,V_m_2] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),c_List_Oupt(V_m_2,V_n_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_atLeastAtMost__upt,axiom,
% 163.42/163.13 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_n_2,hAPP(c_Nat_OSuc,V_m_2))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_atLeast__upt,axiom,
% 163.42/163.13 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nth__upt,axiom,
% 163.42/163.13 ! [V_j,V_k,V_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j))
% 163.42/163.13 => hAPP(hAPP(c_List_Onth(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_greaterThanAtMost__upt,axiom,
% 163.42/163.13 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_greaterThanLessThan__upt,axiom,
% 163.42/163.13 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),V_m_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_atMost__upto,axiom,
% 163.42/163.13 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__nth,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) = V_xs_2 ).
% 163.42/163.13
% 163.42/163.13 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 163.42/163.13 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 163.42/163.13 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.13 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 163.42/163.13 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 163.42/163.13 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.42/163.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nth__map__upt,axiom,
% 163.42/163.13 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2)))
% 163.42/163.13 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose__rectangle,axiom,
% 163.42/163.13 ! [V_n_2,T_b,V_xs_2] :
% 163.42/163.13 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 163.42/163.13 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.42/163.13 => ( ! [B_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 163.42/163.13 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_n_2 )
% 163.42/163.13 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_insort__key__remove1,axiom,
% 163.42/163.13 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 163.42/163.13 => ( hAPP(c_List_Ohd(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2
% 163.42/163.13 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted_ONil,axiom,
% 163.42/163.13 ! [T_a] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_a)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__single,axiom,
% 163.42/163.13 ! [V_x,T_a] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_a)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__upt,axiom,
% 163.42/163.13 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__sort,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__insort__insert,axiom,
% 163.42/163.13 ! [V_x_2,V_xs_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__drop,axiom,
% 163.42/163.13 ! [V_n,V_xs,T_a] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_a)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__upto,axiom,
% 163.42/163.13 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__take,axiom,
% 163.42/163.13 ! [V_n,V_xs,T_a] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_a)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__remove1,axiom,
% 163.42/163.13 ! [V_a,V_xs,T_a] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_a)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__tl,axiom,
% 163.42/163.13 ! [V_xs,T_a] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_a)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__insort,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2))
% 163.42/163.13 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__butlast,axiom,
% 163.42/163.13 ! [V_xs,T_a] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_a)
% 163.42/163.13 => ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted_Oequations_I1_J,axiom,
% 163.42/163.13 ! [T_a] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_a)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__many__eq,axiom,
% 163.42/163.13 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)))
% 163.42/163.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.42/163.13 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__many,axiom,
% 163.42/163.13 ! [V_zs,V_y,V_x,T_a] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_a)
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__remdups,axiom,
% 163.42/163.13 ! [V_l,T_a] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_a)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__distinct__set__unique,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.42/163.13 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 163.42/163.13 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 163.42/163.13 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 163.42/163.13 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__sort__key,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Osort__key(T_c,T_b,V_f_2,V_xs_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__insort__insert__key,axiom,
% 163.42/163.13 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__map__remove1,axiom,
% 163.42/163.13 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__insort__key,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)))
% 163.42/163.13 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__map__same,axiom,
% 163.42/163.13 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__filter,axiom,
% 163.42/163.13 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 163.42/163.13 => 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))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__same,axiom,
% 163.42/163.13 ! [V_xs_2,V_g_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__Cons,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 163.42/163.13 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.42/163.13 & ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__append,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 163.42/163.13 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.42/163.13 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 163.42/163.13 & ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => ! [B_xa] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter__insort,axiom,
% 163.42/163.13 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 163.42/163.13 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 => 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)) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted_Oequations_I2_J,axiom,
% 163.42/163.13 ! [V_a1_2,V_a2_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 163.42/163.13 <=> ( ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 163.42/163.13 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__list__of__set,axiom,
% 163.42/163.13 ! [V_A_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.13 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 163.42/163.13 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 163.42/163.13 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_insort__remove1,axiom,
% 163.42/163.13 ! [V_xs_2,V_a_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.42/163.13 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__nth__mono,axiom,
% 163.42/163.13 ! [V_j,V_i,V_xs,T_a] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_a)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j))) ) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__equals__nth__mono,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.42/163.13 <=> ! [B_j] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.13 => ! [B_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j))) ) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_map__sorted__distinct__set__unique,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 163.42/163.13 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 163.42/163.13 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 163.42/163.13 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 163.42/163.13 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose__column,axiom,
% 163.42/163.13 ! [V_i_2,V_xs_2,T_b] :
% 163.42/163.13 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 163.42/163.13 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nth__nth__transpose__sorted,axiom,
% 163.42/163.13 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 163.42/163.13 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2))))
% 163.42/163.13 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_j_2)),V_i_2) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_inj__on__rev,axiom,
% 163.42/163.13 ! [V_A_2,T_b] : c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orev(T_b),V_A_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__rev,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 163.42/163.13 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__is__Nil__conv,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 163.42/163.13 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Nil__is__rev__conv,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 163.42/163.13 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev_Osimps_I1_J,axiom,
% 163.42/163.13 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_singleton__rev__conv,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(c_List_Orev(T_b),V_xs_2)
% 163.42/163.13 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__singleton__conv,axiom,
% 163.42/163.13 ! [V_x_2,V_xs_2,T_b] :
% 163.42/163.13 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))
% 163.42/163.13 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__append,axiom,
% 163.42/163.13 ! [V_ys,V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_ys)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__concat,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Orev(T_b)),hAPP(c_List_Orev(tc_List_Olist(T_b)),V_xs_2))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__map,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__filter,axiom,
% 163.42/163.13 ! [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)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_zip__rev,axiom,
% 163.42/163.13 ! [V_ys,T_b,V_xs,T_a] :
% 163.42/163.13 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)
% 163.42/163.13 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(c_List_Orev(T_a),V_xs)),hAPP(c_List_Orev(T_b),V_ys)) = hAPP(c_List_Orev(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__rev,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__rev,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( 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))
% 163.42/163.13 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__rev1,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 163.42/163.13 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 163.42/163.13 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__rev__ident,axiom,
% 163.42/163.13 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__swap,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,T_b] :
% 163.42/163.13 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 163.42/163.13 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__is__rev__conv,axiom,
% 163.42/163.13 ! [V_ys_2,V_xs_2,T_b] :
% 163.42/163.13 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 163.42/163.13 <=> V_xs_2 = V_ys_2 ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsum__rev,axiom,
% 163.42/163.13 ! [V_xs,T_a] :
% 163.42/163.13 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.42/163.13 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__rev,axiom,
% 163.42/163.13 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldl__foldr,axiom,
% 163.42/163.13 ! [V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2),V_a_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldr__foldl,axiom,
% 163.42/163.13 ! [V_a_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),V_f_2),V_a_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__eq__Cons__iff,axiom,
% 163.42/163.13 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 163.42/163.13 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 163.42/163.13 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Orev(T_b),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_xs,V_x,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_hd__rev,axiom,
% 163.42/163.13 ! [T_a,V_xs] :
% 163.42/163.13 ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_last__rev,axiom,
% 163.42/163.13 ! [T_a,V_xs] :
% 163.42/163.13 ( V_xs != c_List_Olist_ONil(T_a)
% 163.42/163.13 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__transpose,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__foldl__cons,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)),V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__drop,axiom,
% 163.42/163.13 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__take,axiom,
% 163.42/163.13 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rotate__rev,axiom,
% 163.42/163.13 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))),V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__nth,axiom,
% 163.42/163.13 ! [V_xs,T_a,V_n] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hAPP(hAPP(c_List_Onth(T_a),hAPP(c_List_Orev(T_a),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_rev__update,axiom,
% 163.42/163.13 ! [V_y,V_xs,T_a,V_k] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_y)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_k)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_y) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__rev__nth__mono,axiom,
% 163.42/163.13 ! [V_j,V_i,V_xs,T_a] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_a)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i))) ) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldr__max__sorted,axiom,
% 163.42/163.13 ! [V_y_2,V_xs_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 163.42/163.13 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 163.42/163.13 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 163.42/163.13 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.42/163.13 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__transpose__sorted,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 163.42/163.13 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 163.42/163.13 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.42/163.13 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 163.42/163.13 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose__column__length,axiom,
% 163.42/163.13 ! [V_i_2,V_xs_2,T_b] :
% 163.42/163.13 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 163.42/163.13 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transpose__transpose,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 163.42/163.13 => c_List_Otranspose(T_b,c_List_Otranspose(T_b,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b))),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 163.42/163.13 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__takeWhile,axiom,
% 163.42/163.13 ! [V_Pa_2,V_xs_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__takeWhile__le,axiom,
% 163.42/163.13 ! [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))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_takeWhile__eq__all__conv,axiom,
% 163.42/163.13 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.13 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2
% 163.42/163.13 <=> ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_set__takeWhileD,axiom,
% 163.42/163.13 ! [V_xs_2,V_Pa_2,V_x_2,T_b] :
% 163.42/163.13 ( 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))))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_zip__takeWhile__snd,axiom,
% 163.42/163.13 ! [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)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_zip__takeWhile__fst,axiom,
% 163.42/163.13 ! [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)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_takeWhile__map,axiom,
% 163.42/163.13 ! [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)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_takeWhile__tail,axiom,
% 163.42/163.13 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] :
% 163.42/163.13 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 => 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) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 163.42/163.13 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 => 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)) )
% 163.42/163.13 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 => 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) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 163.42/163.13 ! [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) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_takeWhile__eq__take,axiom,
% 163.42/163.13 ! [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) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__takeWhile,axiom,
% 163.42/163.13 ! [V_Pa_2,V_xs_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.13 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_return__list__def,axiom,
% 163.42/163.13 ! [V_l_2] : c_List_Oreturn__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_l_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_takeWhile__append1,axiom,
% 163.42/163.13 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 => 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) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_takeWhile__nth,axiom,
% 163.42/163.13 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 163.42/163.13 ( 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))))
% 163.42/163.13 => 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) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_nth__length__takeWhile,axiom,
% 163.42/163.13 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.13 ( 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)))
% 163.42/163.13 => ~ 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))))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_takeWhile__not__last,axiom,
% 163.42/163.13 ! [T_b,V_xs_2] :
% 163.42/163.13 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.42/163.13 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.13 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),c_List_Olast(T_b,V_xs_2))),V_xs_2) = c_List_Obutlast(T_b,V_xs_2) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 163.42/163.13 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 163.42/163.13 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 163.42/163.13 ! [V_l] :
% 163.42/163.13 ( c_List_Onat__list(V_l)
% 163.42/163.13 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 163.42/163.13 ! [V_m,V_l] : hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),V_l),V_m) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint),c_List_Oembed__list(V_l)),c_List_Oembed__list(V_m))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_embed__list__def,axiom,
% 163.42/163.13 ! [V_l_2] : c_List_Oembed__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_l_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_takeWhile__neq__rev,axiom,
% 163.42/163.13 ! [V_x_2,V_xs_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Orev(T_b),hAPP(c_List_Otl(T_b),c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_dropWhile__neq__rev,axiom,
% 163.42/163.13 ! [V_x_2,V_xs_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Orev(T_b),c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_takeWhile__dropWhile__id,axiom,
% 163.42/163.13 ! [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 ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__dropWhile,axiom,
% 163.42/163.13 ! [V_Pa_2,V_xs_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__dropWhile__le,axiom,
% 163.42/163.13 ! [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))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 163.42/163.13 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.13 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 163.42/163.13 <=> ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 163.42/163.13 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 163.42/163.13 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 => 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) )
% 163.42/163.13 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 => 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) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 163.42/163.13 ! [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) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__dropWhile,axiom,
% 163.42/163.13 ! [V_Pa_2,V_xs_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.42/163.13 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_hd__dropWhile,axiom,
% 163.42/163.13 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.13 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 163.42/163.13 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_dropWhile__map,axiom,
% 163.42/163.13 ! [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)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_dropWhile__append1,axiom,
% 163.42/163.13 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 => 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) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 163.42/163.13 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] :
% 163.42/163.13 ( 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)
% 163.42/163.13 <=> ( 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))
% 163.42/163.13 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_dropWhile__eq__drop,axiom,
% 163.42/163.13 ! [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) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_dropWhile__nth,axiom,
% 163.42/163.13 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 163.42/163.13 ( 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))))
% 163.42/163.13 => 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)))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_listsum__map__filter,axiom,
% 163.42/163.13 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] :
% 163.42/163.13 ( class_Groups_Omonoid__add(T_c)
% 163.42/163.13 => ( ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 163.42/163.13 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 163.42/163.13 => 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)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted__nth__monoI,axiom,
% 163.42/163.13 ! [V_xs,T_a] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_a)
% 163.42/163.13 => ( ! [B_i,B_j] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_j))) ) )
% 163.42/163.13 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_takeWhile__eq__filter,axiom,
% 163.42/163.13 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.13 ( ! [B_x] :
% 163.42/163.13 ( 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))))
% 163.42/163.13 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.13 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 163.42/163.13 ! [V_Pa_2,V_xs_2,T_b,V_n_2] :
% 163.42/163.13 ( ! [B_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.13 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 163.42/163.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.13 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) )
% 163.42/163.13 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_length__takeWhile__less__P__nth,axiom,
% 163.42/163.13 ! [V_xs_2,T_b,V_Pa_2,V_j_2] :
% 163.42/163.13 ( ! [B_i] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 163.42/163.13 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.13 => 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)))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_sorted_Osimps,axiom,
% 163.42/163.13 ! [V_a_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 163.42/163.13 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 163.42/163.13 | ? [B_xs,B_x] :
% 163.42/163.13 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 163.42/163.13 & ! [B_xa] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 163.42/163.13 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_List_Oinsert__def,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 163.42/163.13 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_not__in__set__insert,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_insert__remdups,axiom,
% 163.42/163.13 ! [V_xs,V_x,T_a] : c_List_Oinsert(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oinsert(T_a,V_x,V_xs)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__insert,axiom,
% 163.42/163.13 ! [V_x,V_xs,T_a] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.42/163.13 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_in__set__insert,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_List_Oset__insert,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oinsert(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_insert__Nil,axiom,
% 163.42/163.13 ! [V_x,T_a] : c_List_Oinsert(T_a,V_x,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_maps__def,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_concat__map__maps,axiom,
% 163.42/163.13 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) = c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_maps__simps_I2_J,axiom,
% 163.42/163.13 ! [V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_maps__simps_I1_J,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_c,T_b,V_f_2,V_xs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_distinct__concat,axiom,
% 163.42/163.13 ! [V_xs_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 163.42/163.13 => ( ! [B_ys] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.13 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 163.42/163.13 => ( ! [B_ys] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.13 => ! [B_zs] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.13 => ( B_ys != B_zs
% 163.42/163.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),B_ys)),hAPP(c_List_Oset(T_b),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 163.42/163.13 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_measures__lesseq,axiom,
% 163.42/163.13 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2)))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_wf__measures,axiom,
% 163.42/163.13 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_in__measures_I1_J,axiom,
% 163.42/163.13 ! [V_y_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_Nat_Onat))))) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_measures__def,axiom,
% 163.42/163.13 ! [V_fs_2,T_b] : c_List_Omeasures(T_b,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_b),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_b),c_List_Omap(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_b,tc_Nat_Onat),T_b,tc_Nat_Onat),c_COMBI(tc_fun(T_b,tc_Nat_Onat))))),V_fs_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_measures__less,axiom,
% 163.42/163.13 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_in__measures_I2_J,axiom,
% 163.42/163.13 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2))))
% 163.42/163.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 163.42/163.13 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 163.42/163.13 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_foldl__apply,axiom,
% 163.42/163.13 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 163.42/163.13 ( ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hAPP(c_Fun_Ocomp(T_d,T_d,T_c,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_h_2),hAPP(V_g_2,B_x)) )
% 163.42/163.13 => hAPP(c_List_Ofoldl(T_d,T_b,hAPP(c_COMBC(T_b,T_d,T_d),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_g_2),V_s_2),V_xs_2)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_order__fun_I2_J,axiom,
% 163.42/163.13 ! [V_g_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( ( class_Orderings_Oorder(T_c)
% 163.42/163.13 & class_Enum_Oenum(T_b) )
% 163.42/163.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.42/163.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.42/163.13 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_g_2)))) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_enum__ex__prod__def,axiom,
% 163.42/163.13 ! [V_Pa_2,T_b,T_c] :
% 163.42/163.13 ( ( class_Enum_Oenum(T_c)
% 163.42/163.13 & class_Enum_Oenum(T_b) )
% 163.42/163.13 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2))
% 163.42/163.13 <=> 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))))) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_enum__ex,axiom,
% 163.42/163.13 ! [V_Pa_2,T_b] :
% 163.42/163.13 ( class_Enum_Oenum(T_b)
% 163.42/163.13 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2))
% 163.42/163.13 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_exists__code,axiom,
% 163.42/163.13 ! [V_Pa_2,T_b] :
% 163.42/163.13 ( class_Enum_Oenum(T_b)
% 163.42/163.13 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 163.42/163.13 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_zip__obtain__same__length,axiom,
% 163.42/163.13 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 163.42/163.13 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2))
% 163.42/163.13 => 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)))) )
% 163.42/163.13 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_pos__not__random__dseq__def,axiom,
% 163.42/163.13 ! [V_seed_2,V_size_2,V_nrandom_2,V_R_2] : c_New__Random__Sequence_Opos__not__random__dseq(V_R_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_dropWhile__append2,axiom,
% 163.42/163.13 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 163.42/163.13 ( ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.13 => 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) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_list__all2__all__nthI,axiom,
% 163.42/163.13 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] :
% 163.42/163.13 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 163.42/163.13 => ( ! [B_n] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2)))
% 163.42/163.13 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) )
% 163.42/163.13 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_finite__sorted__distinct__unique,axiom,
% 163.42/163.13 ! [V_A_2,T_b] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_b)
% 163.42/163.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.13 => ? [B_x] :
% 163.42/163.13 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 163.42/163.13 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 163.42/163.13 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 163.42/163.13 & ! [B_y] :
% 163.42/163.13 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 163.42/163.13 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 163.42/163.13 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 163.42/163.13 => B_y = B_x ) ) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_takeWhile__append2,axiom,
% 163.42/163.13 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 163.42/163.13 ( ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.13 => 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)) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_insort__is__Cons,axiom,
% 163.42/163.13 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 163.42/163.13 ( class_Orderings_Olinorder(T_c)
% 163.42/163.13 => ( ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 163.42/163.13 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_xs_2) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_Cons__eq__filter__iff,axiom,
% 163.42/163.13 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.13 ( 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)
% 163.42/163.13 <=> ? [B_us,B_vs] :
% 163.42/163.13 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs))
% 163.42/163.13 & ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 163.42/163.13 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.13 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_filter__eq__Cons__iff,axiom,
% 163.42/163.13 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] :
% 163.42/163.13 ( 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)
% 163.42/163.13 <=> ? [B_us,B_vs] :
% 163.42/163.13 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs))
% 163.42/163.13 & ! [B_x] :
% 163.42/163.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 163.42/163.13 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.13 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.13 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 163.42/163.13
% 163.42/163.13 fof(fact_order__fun_I1_J,axiom,
% 163.42/163.13 ! [V_g_2,V_f_2,T_b,T_c] :
% 163.42/163.13 ( ( class_Orderings_Oorder(T_c)
% 163.42/163.13 & class_Enum_Oenum(T_b) )
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.42/163.14 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Oord__class_Oless__eq(T_c)),V_f_2)),V_g_2))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_all__code,axiom,
% 163.42/163.14 ! [V_Pa_2,T_b] :
% 163.42/163.14 ( class_Enum_Oenum(T_b)
% 163.42/163.14 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 163.42/163.14 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_enum__all,axiom,
% 163.42/163.14 ! [V_Pa_2,T_b] :
% 163.42/163.14 ( class_Enum_Oenum(T_b)
% 163.42/163.14 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2))
% 163.42/163.14 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_enum__all__prod__def,axiom,
% 163.42/163.14 ! [V_Pa_2,T_b,T_c] :
% 163.42/163.14 ( ( class_Enum_Oenum(T_c)
% 163.42/163.14 & class_Enum_Oenum(T_b) )
% 163.42/163.14 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2))
% 163.42/163.14 <=> 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))))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__ball__nth,axiom,
% 163.42/163.14 ! [V_Pa_2,V_xs_2,T_b,V_n_2] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.14 => ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.14 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sorted_OCons,axiom,
% 163.42/163.14 ! [V_x_2,V_xs_2,T_b] :
% 163.42/163.14 ( class_Orderings_Olinorder(T_b)
% 163.42/163.14 => ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 163.42/163.14 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.42/163.14 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__ex__length,axiom,
% 163.42/163.14 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 163.42/163.14 <=> ? [B_n] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.14 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_in__set__conv__decomp,axiom,
% 163.42/163.14 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__ex__simps_I2_J,axiom,
% 163.42/163.14 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__ex__append,axiom,
% 163.42/163.14 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 163.42/163.14 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 163.42/163.14 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__ex__iff,axiom,
% 163.42/163.14 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 163.42/163.14 <=> ? [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__ex__rev,axiom,
% 163.42/163.14 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 163.42/163.14 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__ex__simps_I1_J,axiom,
% 163.42/163.14 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 163.42/163.14 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.14 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_in__set__conv__decomp__first,axiom,
% 163.42/163.14 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 <=> ? [B_ys] :
% 163.42/163.14 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs))
% 163.42/163.14 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_in__set__conv__decomp__last,axiom,
% 163.42/163.14 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 <=> ? [B_ys,B_zs] :
% 163.42/163.14 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs))
% 163.42/163.14 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__all__length,axiom,
% 163.42/163.14 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 163.42/163.14 <=> ! [B_n] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 163.42/163.14 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_measure__function__int,axiom,
% 163.42/163.14 c_FunDef_Ois__measure(tc_Int_Oint,hAPP(c_Fun_Ocomp(tc_Int_Oint,tc_Nat_Onat,tc_Int_Oint,c_Int_Onat),c_Groups_Oabs__class_Oabs(tc_Int_Oint))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__all__simps_I2_J,axiom,
% 163.42/163.14 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__all__append,axiom,
% 163.42/163.14 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 163.42/163.14 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 163.42/163.14 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_measure__size,axiom,
% 163.42/163.14 ! [T_b] :
% 163.42/163.14 ( class_Nat_Osize(T_b)
% 163.42/163.14 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_is__measure_Osimps,axiom,
% 163.42/163.14 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_is__measure_Oequations,axiom,
% 163.42/163.14 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_is__measure_Ointros,axiom,
% 163.42/163.14 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__all__iff,axiom,
% 163.42/163.14 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 163.42/163.14 <=> ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_measure__fst,axiom,
% 163.42/163.14 ! [T_c,V_f_2,T_b] :
% 163.42/163.14 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 163.42/163.14 => c_FunDef_Ois__measure(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_b,T_c)),V_f_2),c_Product__Type_Ofst(T_b,T_c))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_measure__snd,axiom,
% 163.42/163.14 ! [T_c,V_f_2,T_b] :
% 163.42/163.14 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 163.42/163.14 => c_FunDef_Ois__measure(tc_prod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_c,T_b)),V_f_2),c_Product__Type_Osnd(T_c,T_b))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__all__rev,axiom,
% 163.42/163.14 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 163.42/163.14 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__all__simps_I1_J,axiom,
% 163.42/163.14 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 163.42/163.14 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.14 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Ball__set__list__all,axiom,
% 163.42/163.14 ! [V_Pa_2,V_xs_2,T_b] :
% 163.42/163.14 ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.14 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__all__iff__raw,axiom,
% 163.42/163.14 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 163.42/163.14 <=> ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__ex1__simps_I2_J,axiom,
% 163.42/163.14 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 163.42/163.14 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.14 => 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) )
% 163.42/163.14 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.14 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_transfer__morphism__int__nat,axiom,
% 163.42/163.14 c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fTrue)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__ex1__simps_I1_J,axiom,
% 163.42/163.14 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bool_Osize_I3_J,axiom,
% 163.42/163.14 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bool_Osize_I4_J,axiom,
% 163.42/163.14 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__ex1__iff,axiom,
% 163.42/163.14 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 163.42/163.14 <=> ? [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 & hBOOL(hAPP(V_Pa_2,B_x))
% 163.42/163.14 & ! [B_y] :
% 163.42/163.14 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 163.42/163.14 => B_y = B_x ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 163.42/163.14 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 163.42/163.14 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.42/163.14 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_b) )
% 163.42/163.14 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.42/163.14 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 163.42/163.14 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 163.42/163.14 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.42/163.14 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_b) )
% 163.42/163.14 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.42/163.14 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 163.42/163.14 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Opos__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 163.42/163.14 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Oneg__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 163.42/163.14 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Oneg__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 163.42/163.14 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_pos__empty__def,axiom,
% 163.42/163.14 ! [V_seed_2,V_size_2,V_nrandom_2,T_b] : c_New__Random__Sequence_Opos__empty(T_b,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_b) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_neg__bind__def,axiom,
% 163.42/163.14 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 163.42/163.14 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Opos__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_neg__map__def,axiom,
% 163.42/163.14 ! [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)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_neg__single__def,axiom,
% 163.42/163.14 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_b,V_x_2) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_pos__bind__def,axiom,
% 163.42/163.14 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 163.42/163.14 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Oneg__single(T_a,V_x),V_i_1) = c_Lazy__Sequence_Ohb__single(T_a,V_x) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_pos__map__def,axiom,
% 163.42/163.14 ! [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)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_pos__single__def,axiom,
% 163.42/163.14 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_b,V_x_2) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_length__splice,axiom,
% 163.42/163.14 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Osplice(T_a,V_xs,V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_splice_Osimps_I3_J,axiom,
% 163.42/163.14 ! [V_ys,V_y,V_xs,V_x,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Osplice(T_a,V_xs,V_ys))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_splice_Osimps_I1_J,axiom,
% 163.42/163.14 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 163.42/163.14
% 163.42/163.14 fof(fact_splice__Nil2,axiom,
% 163.42/163.14 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 163.42/163.14
% 163.42/163.14 fof(fact_splice_Osimps_I2_J,axiom,
% 163.42/163.14 ! [V_va,V_v,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va),c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_New__DSequence_Opos__single__def,axiom,
% 163.42/163.14 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Opos__single(T_a,V_x),V_i_1) = hAPP(c_Lazy__Sequence_Osingle(T_a),V_x) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_acyclicP__converse,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Predicate_Oconversep(T_b,T_b,V_r_2))))
% 163.42/163.14 <=> c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_converse__meet,axiom,
% 163.42/163.14 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_converse__join,axiom,
% 163.42/163.14 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_converse__pred__comp,axiom,
% 163.42/163.14 ! [V_s_2,V_r_2,T_d,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Opred__comp(T_c,T_d,T_b,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_b,T_d,T_c,c_Predicate_Oconversep(T_d,T_b,V_s_2),c_Predicate_Oconversep(T_c,T_d,V_r_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_conversep__noteq,axiom,
% 163.42/163.14 ! [V_y_2,V_x_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot)),c_fequal)),V_x_2),V_y_2))
% 163.42/163.14 <=> V_x_2 != V_y_2 ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_conversepD,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_conversep_Ointros,axiom,
% 163.42/163.14 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_conversep_Oequations,axiom,
% 163.42/163.14 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_conversep__iff,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_conversep__conversep,axiom,
% 163.42/163.14 ! [V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Oconversep(T_b,T_c,V_r_2)) = V_r_2 ).
% 163.42/163.14
% 163.42/163.14 fof(fact_conversep__eq,axiom,
% 163.42/163.14 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 163.42/163.14
% 163.42/163.14 fof(fact_conversep__converse__eq,axiom,
% 163.42/163.14 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2),V_y_2))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_,axiom,
% 163.42/163.14 ! [V_s2_2,V_s1_2,T_c,T_b] : c_Lazy__Sequence_Oproduct(T_b,T_c,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_b,tc_prod(T_b,T_c),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_b),c_Lazy__Sequence_Obind(T_c,tc_prod(T_b,T_c),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_c),c_Lazy__Sequence_Osingle(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_tl__replicate,axiom,
% 163.42/163.14 ! [V_x,T_a,V_n] :
% 163.42/163.14 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.14 => hAPP(c_List_Otl(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_x) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_replicate__length__filter,axiom,
% 163.42/163.14 ! [V_xs_2,V_x_2,T_b] : c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_length__replicate,axiom,
% 163.42/163.14 ! [V_x,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oreplicate(T_a,V_n,V_x)) = V_n ).
% 163.42/163.14
% 163.42/163.14 fof(fact_map__replicate__const,axiom,
% 163.42/163.14 ! [V_lst_2,V_k_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_k_2)),V_lst_2) = c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_lst_2),V_k_2) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_replicate__app__Cons__same,axiom,
% 163.42/163.14 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_xs)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_replicate__Suc,axiom,
% 163.42/163.14 ! [V_x,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(c_Nat_OSuc,V_n),V_x) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_n,V_x)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_rev__replicate,axiom,
% 163.42/163.14 ! [V_x,V_n,T_a] : hAPP(c_List_Orev(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,V_n,V_x) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_take__replicate,axiom,
% 163.42/163.14 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_k),V_x) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_drop__replicate,axiom,
% 163.42/163.14 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_k),V_i),V_x) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_hd__replicate,axiom,
% 163.42/163.14 ! [V_x,T_a,V_n] :
% 163.42/163.14 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.14 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_last__replicate,axiom,
% 163.42/163.14 ! [V_x,T_a,V_n] :
% 163.42/163.14 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.14 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_zip__replicate,axiom,
% 163.42/163.14 ! [V_y,V_j,V_x,V_i,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Oreplicate(T_a,V_i,V_x)),c_List_Oreplicate(T_b,V_j,V_y)) = c_List_Oreplicate(tc_prod(T_a,T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_j),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Bex__set__replicate,axiom,
% 163.42/163.14 ! [V_Pa_2,V_a_2,V_n_2,T_b] :
% 163.42/163.14 ( ? [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2))))
% 163.42/163.14 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.14 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 163.42/163.14 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Ball__set__replicate,axiom,
% 163.42/163.14 ! [V_Pa_2,V_a_2,V_n_2,T_b] :
% 163.42/163.14 ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2))))
% 163.42/163.14 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.14 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 163.42/163.14 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_replicate__eq__replicate,axiom,
% 163.42/163.14 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] :
% 163.42/163.14 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2)
% 163.42/163.14 <=> ( V_m_2 = V_n_2
% 163.42/163.14 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.14 => V_x_2 = V_y_2 ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_nth__replicate,axiom,
% 163.42/163.14 ! [V_x,T_a,V_n,V_i] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 163.42/163.14 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_replicate__add,axiom,
% 163.42/163.14 ! [V_x,V_m,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m),V_x) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_m,V_x)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_append__replicate__commute,axiom,
% 163.42/163.14 ! [V_k,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_k,V_x)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_k,V_x)),c_List_Oreplicate(T_a,V_n,V_x)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_filter__replicate,axiom,
% 163.42/163.14 ! [V_n_2,T_b,V_x_2,V_Pa_2] :
% 163.42/163.14 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.14 => 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) )
% 163.42/163.14 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 163.42/163.14 => 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) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_concat__replicate__trivial,axiom,
% 163.42/163.14 ! [V_i,T_a] : c_List_Oconcat(T_a,c_List_Oreplicate(tc_List_Olist(T_a),V_i,c_List_Olist_ONil(T_a))) = c_List_Olist_ONil(T_a) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_replicate__0,axiom,
% 163.42/163.14 ! [V_x,T_a] : c_List_Oreplicate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x) = c_List_Olist_ONil(T_a) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_empty__replicate,axiom,
% 163.42/163.14 ! [V_x_2,V_n_2,T_b] :
% 163.42/163.14 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2)
% 163.42/163.14 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_replicate__empty,axiom,
% 163.42/163.14 ! [V_x_2,V_n_2,T_b] :
% 163.42/163.14 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b)
% 163.42/163.14 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_map__replicate,axiom,
% 163.42/163.14 ! [V_x_2,V_n_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,hAPP(V_f_2,V_x_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_in__set__replicate,axiom,
% 163.42/163.14 ! [V_y_2,V_n_2,V_x_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_y_2))))
% 163.42/163.14 <=> ( V_x_2 = V_y_2
% 163.42/163.14 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_replicate__append__same,axiom,
% 163.42/163.14 ! [V_x,V_i,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_i,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_i,V_x)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_map__replicate__trivial,axiom,
% 163.42/163.14 ! [V_i_2,V_x_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_COMBK(T_b,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_b,V_i_2,V_x_2) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_set__replicate,axiom,
% 163.42/163.14 ! [V_x_2,T_b,V_n_2] :
% 163.42/163.14 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.14 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_set__replicate__conv__if,axiom,
% 163.42/163.14 ! [V_x_2,T_b,V_n_2] :
% 163.42/163.14 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.14 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 163.42/163.14 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.14 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_set__replicate__Suc,axiom,
% 163.42/163.14 ! [V_x_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_small__lazy__list_Osimps,axiom,
% 163.42/163.14 ! [V_d_2,T_b] :
% 163.42/163.14 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 163.42/163.14 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_b),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),c_Lazy__Sequence_Oproduct(T_b,tc_List_Olist(T_b),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)))),c_List_Olist_OCons(T_b))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_b)))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_eq__comp__r,axiom,
% 163.42/163.14 ! [V_R_2,T_b] : c_Predicate_Opred__comp(T_b,T_b,T_b,c_fequal,c_Predicate_Opred__comp(T_b,T_b,T_b,V_R_2,c_fequal)) = V_R_2 ).
% 163.42/163.14
% 163.42/163.14 fof(fact_small__lazy__prod__def,axiom,
% 163.42/163.14 ! [V_d,T_b,T_a] :
% 163.42/163.14 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 163.42/163.14 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 163.42/163.14 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(T_a,T_b),V_d) = c_Lazy__Sequence_Oproduct(T_a,T_b,c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_a,V_d),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,V_d)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_New__DSequence_Opos__union__def,axiom,
% 163.42/163.14 ! [V_i_2,V_yq_2,V_xq_2,T_b] : hAPP(c_New__DSequence_Opos__union(T_b,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_b,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 163.42/163.14 ! [V_lazy__sequence,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a,V_lazy__sequence)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),V_lazy__sequence)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact__01,axiom,
% 163.42/163.14 ! [V_yq,V_xq,V_x,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,V_xq),V_yq) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,c_Lazy__Sequence_Oappend(T_a,V_xq,V_yq)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_lazy__sequence_Oinject,axiom,
% 163.42/163.14 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 163.42/163.14 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_H_2,V_lazy__sequence_H_2)
% 163.42/163.14 <=> ( V_a_2 = V_a_H_2
% 163.42/163.14 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_pos__union__def,axiom,
% 163.42/163.14 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_b] : c_New__Random__Sequence_Opos__union(T_b,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_b,hAPP(hAPP(hAPP(V_R1_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(hAPP(V_R2_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 163.42/163.14 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_small__lazy_H_Osimps,axiom,
% 163.42/163.14 ! [V_i,V_d] :
% 163.42/163.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 163.42/163.14 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 163.42/163.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 163.42/163.14 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i),c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_small__lazy_H_Opsimps,axiom,
% 163.42/163.14 ! [V_i_2,V_d_2] :
% 163.42/163.14 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2)))
% 163.42/163.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 163.42/163.14 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 163.42/163.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 163.42/163.14 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i_2),c_Lazy__Sequence_Osmall__lazy_H(V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_small__lazy__int__def,axiom,
% 163.42/163.14 ! [V_d] : c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint,V_d) = c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_small__lazy_H_Opinduct,axiom,
% 163.42/163.14 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 163.42/163.14 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 163.42/163.14 => ( ! [B_d,B_i] :
% 163.42/163.14 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i)))
% 163.42/163.14 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 163.42/163.14 => 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)))) )
% 163.42/163.14 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 163.42/163.14 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_size__code,axiom,
% 163.42/163.14 ! [V_xq_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),T_b),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_lazy__sequence__size__code,axiom,
% 163.42/163.14 ! [V_xq_2,V_s_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_b,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_b),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_seq__case,axiom,
% 163.42/163.14 ! [V_xq_2,V_g_2,V_f_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f_2,V_g_2,V_xq_2) = c_Option_Ooption_Ooption__case(T_b,tc_prod(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c),T_b),V_g_2),hAPP(c_Lazy__Sequence_Oyield(T_c),V_xq_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_yieldn__def,axiom,
% 163.42/163.14 ! [T_b] : c_Lazy__Sequence_Oyieldn(T_b) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_b),T_b,c_Lazy__Sequence_Oyield(T_b)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 163.42/163.14 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_refl__on__INTER,axiom,
% 163.42/163.14 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 163.42/163.14 ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.42/163.14 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 163.42/163.14 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_List_Omember__def,axiom,
% 163.42/163.14 ! [V_x_2,V_xs_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_member__rec_I2_J,axiom,
% 163.42/163.14 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_member__set,axiom,
% 163.42/163.14 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_member__rec_I1_J,axiom,
% 163.42/163.14 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_y_2))
% 163.42/163.14 <=> ( V_x_2 = V_y_2
% 163.42/163.14 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_in__set__member,axiom,
% 163.42/163.14 ! [V_xs_2,V_x_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__ex1__iff__raw,axiom,
% 163.42/163.14 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 163.42/163.14 <=> ? [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 & hBOOL(hAPP(V_Pa_2,B_x))
% 163.42/163.14 & ! [B_y] :
% 163.42/163.14 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 163.42/163.14 => B_y = B_x ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_setsum__UNION__zero,axiom,
% 163.42/163.14 ! [V_f_2,V_S_2,T_b,T_c] :
% 163.42/163.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.42/163.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 163.42/163.14 => ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 163.42/163.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 163.42/163.14 => ( ! [B_T1] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 163.42/163.14 => ! [B_T2] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 163.42/163.14 => ( B_T1 != B_T2
% 163.42/163.14 => ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 163.42/163.14 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 163.42/163.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2)),V_S_2) ) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_THE__default__def,axiom,
% 163.42/163.14 ! [V_d_2,T_b,V_Pa_2] :
% 163.42/163.14 ( ( ? [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(V_Pa_2,B_x))
% 163.42/163.14 & ! [B_y] :
% 163.42/163.14 ( hBOOL(hAPP(V_Pa_2,B_y))
% 163.42/163.14 => B_y = B_x ) )
% 163.42/163.14 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) )
% 163.42/163.14 & ( ~ ? [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(V_Pa_2,B_x))
% 163.42/163.14 & ! [B_y] :
% 163.42/163.14 ( hBOOL(hAPP(V_Pa_2,B_y))
% 163.42/163.14 => B_y = B_x ) )
% 163.42/163.14 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_SUP2__E,axiom,
% 163.42/163.14 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 163.42/163.14 ( 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))
% 163.42/163.14 => ~ ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.14 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_INF2__I,axiom,
% 163.42/163.14 ! [T_d,T_c,V_ca_2,V_b_2,V_B_2,V_A_2,T_b] :
% 163.42/163.14 ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) )
% 163.42/163.14 => 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)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_finite__maxlen,axiom,
% 163.42/163.14 ! [V_M_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 163.42/163.14 => ? [B_n] :
% 163.42/163.14 ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),B_x)),B_n)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 163.42/163.14 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 163.42/163.14 ! [V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(fact__02,axiom,
% 163.42/163.14 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 163.42/163.14
% 163.42/163.14 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 163.42/163.14 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) != c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 163.42/163.14 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) != c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 163.42/163.14 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__all__iff__all__interval__int,axiom,
% 163.42/163.14 ! [V_j_2,V_i_2,V_Pa_2] :
% 163.42/163.14 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 163.42/163.14 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 163.42/163.14 ! [V_j_2,V_i_2,V_Pa_2] :
% 163.42/163.14 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 163.42/163.14 <=> ~ 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) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_all__interval__int__def,axiom,
% 163.42/163.14 ! [V_j_2,V_i_2,V_Pa_2] :
% 163.42/163.14 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 163.42/163.14 <=> ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 163.42/163.14 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 163.42/163.14 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(hAPP(V_f2_2,V_code__numeral_2),c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,V_code__numeral_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Random_Osimps,axiom,
% 163.42/163.14 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 163.42/163.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 163.42/163.14 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) )
% 163.42/163.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 163.42/163.14 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(V_g_2,V_size_2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_b,V_g_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_size_2))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_b)),c_Product__Type_Ofst(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 163.42/163.14 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Random__Sequence_Oempty__def,axiom,
% 163.42/163.14 ! [V_size_2,V_nrandom_2,T_b] : c_Random__Sequence_Oempty(T_b,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Random__Sequence_Osingle__def,axiom,
% 163.42/163.14 ! [V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_b),V_x_2),V_nrandom_2),V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_b),V_x_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Random__Sequence_Omap__def,axiom,
% 163.42/163.14 ! [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)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_exE__realizer,axiom,
% 163.42/163.14 ! [T_d,V_f_2,V_Qa_2,V_p_2,T_b,T_c,V_Pa_2] :
% 163.42/163.14 ( 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)))
% 163.42/163.14 => ( ! [B_x,B_y] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 163.42/163.14 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 163.42/163.14 => 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))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Image__Collect__split,axiom,
% 163.42/163.14 ! [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)))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_lexord__trans,axiom,
% 163.42/163.14 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_z_2)),c_List_Olexord(T_b,V_r_2)))
% 163.42/163.14 => ( c_Relation_Otrans(T_b,V_r_2)
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trans__less__than,axiom,
% 163.42/163.14 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trans__lex__prod,axiom,
% 163.42/163.14 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 163.42/163.14 ( c_Relation_Otrans(T_b,V_R1_2)
% 163.42/163.14 => ( c_Relation_Otrans(T_c,V_R2_2)
% 163.42/163.14 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_transD,axiom,
% 163.42/163.14 ! [V_ca_2,V_b_2,V_a_2,V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Otrans(T_b,V_r_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 163.42/163.14 => ( 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))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),V_r_2)) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trans__def,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Otrans(T_b,V_r_2)
% 163.42/163.14 <=> ! [B_x,B_y] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 163.42/163.14 => ! [B_z] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_z)),V_r_2)) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trans__rtrancl,axiom,
% 163.42/163.14 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trans__finite__psubset,axiom,
% 163.42/163.14 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trans__Id__on,axiom,
% 163.42/163.14 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trancl__id,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Otrans(T_b,V_r_2)
% 163.42/163.14 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trans__trancl,axiom,
% 163.42/163.14 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trans__Id,axiom,
% 163.42/163.14 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_lexord__transI,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Otrans(T_b,V_r_2)
% 163.42/163.14 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trans__converse,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 163.42/163.14 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bex__empty,axiom,
% 163.42/163.14 ! [V_Pa_2,T_b] :
% 163.42/163.14 ~ ? [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 163.42/163.14 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_listrel__trans,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Otrans(T_b,V_r_2)
% 163.42/163.14 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_finite__Collect__bex,axiom,
% 163.42/163.14 ! [V_Qa_2,T_c,V_A_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.14 => ( 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)))))
% 163.42/163.14 <=> ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.14 => 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)))) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bex__UNIV,axiom,
% 163.42/163.14 ! [V_Pa_2,T_b] :
% 163.42/163.14 ( ? [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 163.42/163.14 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.14 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trans__Int,axiom,
% 163.42/163.14 ! [V_s_2,V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Otrans(T_b,V_r_2)
% 163.42/163.14 => ( c_Relation_Otrans(T_b,V_s_2)
% 163.42/163.14 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_SUPR__bool__eq,axiom,
% 163.42/163.14 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trans__O__subset,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Otrans(T_b,V_r_2)
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),V_r_2)),V_r_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trans__reflclI,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Otrans(T_b,V_r_2)
% 163.42/163.14 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trans__inv__image,axiom,
% 163.42/163.14 ! [V_f_2,T_c,V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Otrans(T_b,V_r_2)
% 163.42/163.14 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Union__eq,axiom,
% 163.42/163.14 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__ex__iff__raw,axiom,
% 163.42/163.14 ! [V_xs_2,V_Pa_2,T_b] :
% 163.42/163.14 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 163.42/163.14 <=> ? [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Bex__set__list__ex,axiom,
% 163.42/163.14 ! [V_Pa_2,V_xs_2,T_b] :
% 163.42/163.14 ( ? [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.42/163.14 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.14 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_UN__eq,axiom,
% 163.42/163.14 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_INT__eq,axiom,
% 163.42/163.14 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Sup__fun__def,axiom,
% 163.42/163.14 ! [V_x_2,V_A_2,T_c,T_b] :
% 163.42/163.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.42/163.14 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Sup__apply,axiom,
% 163.42/163.14 ! [V_x_2,V_A_2,T_c,T_b] :
% 163.42/163.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.42/163.14 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Inf__fun__def,axiom,
% 163.42/163.14 ! [V_x_2,V_A_2,T_c,T_b] :
% 163.42/163.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.42/163.14 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Inf__apply,axiom,
% 163.42/163.14 ! [V_x_2,V_A_2,T_c,T_b] :
% 163.42/163.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.42/163.14 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_max__extp_Ointros,axiom,
% 163.42/163.14 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 163.42/163.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 163.42/163.14 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.14 => ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 163.42/163.14 => ? [B_xa] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 163.42/163.14 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 163.42/163.14 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_transp__def,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Predicate_Otransp(T_b,V_r_2)
% 163.42/163.14 <=> c_Relation_Otrans(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_transpE,axiom,
% 163.42/163.14 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 163.42/163.14 ( c_Predicate_Otransp(T_b,V_r_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_equivpE,axiom,
% 163.42/163.14 ! [V_R_2,T_b] :
% 163.42/163.14 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.42/163.14 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 163.42/163.14 => ( c_Predicate_Osymp(T_b,V_R_2)
% 163.42/163.14 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_equivpI,axiom,
% 163.42/163.14 ! [V_R_2,T_b] :
% 163.42/163.14 ( c_Predicate_Oreflp(T_b,V_R_2)
% 163.42/163.14 => ( c_Predicate_Osymp(T_b,V_R_2)
% 163.42/163.14 => ( c_Predicate_Otransp(T_b,V_R_2)
% 163.42/163.14 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sympE,axiom,
% 163.42/163.14 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 163.42/163.14 ( c_Predicate_Osymp(T_b,V_r_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_equivp__reflp__symp__transp,axiom,
% 163.42/163.14 ! [V_R_2,T_b] :
% 163.42/163.14 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.42/163.14 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 163.42/163.14 & c_Predicate_Osymp(T_b,V_R_2)
% 163.42/163.14 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_max__extp_Osimps,axiom,
% 163.42/163.14 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 163.42/163.14 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 163.42/163.14 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 163.42/163.14 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 163.42/163.14 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.14 & ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 163.42/163.14 => ? [B_xa] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 163.42/163.14 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_trans__diff__Id,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Otrans(T_b,V_r_2)
% 163.42/163.14 => ( c_Relation_Oantisym(T_b,V_r_2)
% 163.42/163.14 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_antisym__Id__on,axiom,
% 163.42/163.14 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_antisym__empty,axiom,
% 163.42/163.14 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_antisym__converse,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 163.42/163.14 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_antisym__Id,axiom,
% 163.42/163.14 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_antisym__subset,axiom,
% 163.42/163.14 ! [V_s_2,V_r_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.42/163.14 => ( c_Relation_Oantisym(T_b,V_s_2)
% 163.42/163.14 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_antisymD,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Oantisym(T_b,V_r_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2))
% 163.42/163.14 => V_a_2 = V_b_2 ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_antisym__def,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Oantisym(T_b,V_r_2)
% 163.42/163.14 <=> ! [B_x,B_y] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 163.42/163.14 => B_x = B_y ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_antisym__reflcl,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Oantisym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 163.42/163.14 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 163.42/163.14 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_fun__lub__def,axiom,
% 163.42/163.14 ! [V_x_2,V_A_2,V_L_2,T_d,T_b,T_c] : c_Partial__Function_Ofun__lub(T_c,T_b,T_d,V_L_2,V_A_2,V_x_2) = hAPP(V_L_2,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(tc_fun(T_d,T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),T_c),hAPP(c_COMBS(tc_fun(T_d,T_c),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_d,T_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_d,T_c))),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,tc_fun(T_d,T_c))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),T_d,T_c),c_COMBI(tc_fun(T_d,T_c))),V_x_2)))))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sym__trans__comp__subset,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Osym(T_b,V_r_2)
% 163.42/163.14 => ( c_Relation_Otrans(T_b,V_r_2)
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2)),V_r_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_symD,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Osym(T_b,V_r_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sym__def,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Osym(T_b,V_r_2)
% 163.42/163.14 <=> ! [B_x,B_y] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sym__rtrancl,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Osym(T_b,V_r_2)
% 163.42/163.14 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sym__Id__on,axiom,
% 163.42/163.14 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sym__trancl,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Osym(T_b,V_r_2)
% 163.42/163.14 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sym__Un,axiom,
% 163.42/163.14 ! [V_s_2,V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Osym(T_b,V_r_2)
% 163.42/163.14 => ( c_Relation_Osym(T_b,V_s_2)
% 163.42/163.14 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sym__Id,axiom,
% 163.42/163.14 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sym__conv__converse__eq,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Osym(T_b,V_r_2)
% 163.42/163.14 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sym__converse,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 163.42/163.14 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_listrel__sym,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Osym(T_b,V_r_2)
% 163.42/163.14 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sym__Int,axiom,
% 163.42/163.14 ! [V_s_2,V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Osym(T_b,V_r_2)
% 163.42/163.14 => ( c_Relation_Osym(T_b,V_s_2)
% 163.42/163.14 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sym__Un__converse,axiom,
% 163.42/163.14 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sym__inv__image,axiom,
% 163.42/163.14 ! [V_f_2,T_c,V_r_2,T_b] :
% 163.42/163.14 ( c_Relation_Osym(T_b,V_r_2)
% 163.42/163.14 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_sym__Int__converse,axiom,
% 163.42/163.14 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_equiv__def,axiom,
% 163.42/163.14 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.14 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.14 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.42/163.14 & c_Relation_Osym(T_b,V_r_2)
% 163.42/163.14 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_equivI,axiom,
% 163.42/163.14 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.14 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.42/163.14 => ( c_Relation_Osym(T_b,V_r_2)
% 163.42/163.14 => ( c_Relation_Otrans(T_b,V_r_2)
% 163.42/163.14 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_equivE,axiom,
% 163.42/163.14 ! [V_r_2,V_A_2,T_b] :
% 163.42/163.14 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.42/163.14 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.42/163.14 => ( c_Relation_Osym(T_b,V_r_2)
% 163.42/163.14 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_symp__def,axiom,
% 163.42/163.14 ! [V_r_2,T_b] :
% 163.42/163.14 ( c_Predicate_Osymp(T_b,V_r_2)
% 163.42/163.14 <=> c_Relation_Osym(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_part__equivpI,axiom,
% 163.42/163.14 ! [T_b,V_R_2] :
% 163.42/163.14 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 163.42/163.14 => ( c_Predicate_Osymp(T_b,V_R_2)
% 163.42/163.14 => ( c_Predicate_Otransp(T_b,V_R_2)
% 163.42/163.14 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_part__equivp__refl__symp__transp,axiom,
% 163.42/163.14 ! [V_R_2,T_b] :
% 163.42/163.14 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 163.42/163.14 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 163.42/163.14 & c_Predicate_Osymp(T_b,V_R_2)
% 163.42/163.14 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_part__equivp__transp,axiom,
% 163.42/163.14 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 163.42/163.14 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_part__equivp__symp,axiom,
% 163.42/163.14 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 163.42/163.14 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_part__equivp__def,axiom,
% 163.42/163.14 ! [V_R_2,T_b] :
% 163.42/163.14 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 163.42/163.14 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 163.42/163.14 & ! [B_x,B_y] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 163.42/163.14 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 163.42/163.14 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 163.42/163.14 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_equivp__implies__part__equivp,axiom,
% 163.42/163.14 ! [V_R_2,T_b] :
% 163.42/163.14 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.42/163.14 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_part__equivpE,axiom,
% 163.42/163.14 ! [V_R_2,T_b] :
% 163.42/163.14 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 163.42/163.14 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 163.42/163.14 => ( c_Predicate_Osymp(T_b,V_R_2)
% 163.42/163.14 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_part__equivp__typedef,axiom,
% 163.42/163.14 ! [V_R_2,T_b] :
% 163.42/163.14 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 163.42/163.14 => ? [B_d] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBS(T_b,T_b,tc_HOL_Obool),V_R_2),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_fequal)),V_R_2))))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__o__cancel,axiom,
% 163.42/163.14 ! [V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.14 => hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inj__iff,axiom,
% 163.42/163.14 ! [V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.14 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__id,axiom,
% 163.42/163.14 ! [T_b] : c_Hilbert__Choice_Oinv__into(T_b,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Fun_Oid(T_b)) = c_Fun_Oid(T_b) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__f__f,axiom,
% 163.42/163.14 ! [V_x_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.14 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__f__eq,axiom,
% 163.42/163.14 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.14 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 163.42/163.14 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = V_x_2 ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__into__f__eq,axiom,
% 163.42/163.14 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.14 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 163.42/163.14 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__into__f__f,axiom,
% 163.42/163.14 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.42/163.14 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__into__injective,axiom,
% 163.42/163.14 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 163.42/163.14 ( hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.42/163.14 => V_x_2 = V_y_2 ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__into__into,axiom,
% 163.42/163.14 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_x_2)),V_A_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_f__inv__into__f,axiom,
% 163.42/163.14 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 163.42/163.14 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_surj__iff__all,axiom,
% 163.42/163.14 ! [V_f_2,T_b,T_c] :
% 163.42/163.14 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.14 <=> ! [B_x] : hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),B_x)) = B_x ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_surj__f__inv__f,axiom,
% 163.42/163.14 ! [V_y_2,V_f_2,T_b,T_c] :
% 163.42/163.14 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.14 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),V_y_2)) = V_y_2 ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_image__surj__f__inv__f,axiom,
% 163.42/163.14 ! [V_A_2,V_f_2,T_b,T_c] :
% 163.42/163.14 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.14 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_A_2)) = V_A_2 ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_image__inv__into__cancel,axiom,
% 163.42/163.14 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 163.42/163.14 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 163.42/163.14 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2)),V_B_H_2)) = V_B_H_2 ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__into__def,axiom,
% 163.42/163.14 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__def,axiom,
% 163.42/163.14 ! [V_y_2,V_f_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_y_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_o__inv__o__cancel,axiom,
% 163.42/163.14 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.14 => hAPP(c_Fun_Ocomp(T_c,T_d,T_b,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_surj__imp__inj__inv,axiom,
% 163.42/163.14 ! [V_f_2,T_b,T_c] :
% 163.42/163.14 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.14 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__image__comp,axiom,
% 163.42/163.14 ! [V_X_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.14 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_X_2)) = V_X_2 ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_image__inv__f__f,axiom,
% 163.42/163.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.14 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inj__imp__surj__inv,axiom,
% 163.42/163.14 ! [V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.14 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__into__image__cancel,axiom,
% 163.42/163.14 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 163.42/163.14 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = V_S_2 ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inj__on__inv__into,axiom,
% 163.42/163.14 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 163.42/163.14 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_B_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__into__comp,axiom,
% 163.42/163.14 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))
% 163.42/163.14 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))))
% 163.42/163.14 => hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_surj__iff,axiom,
% 163.42/163.14 ! [V_f_2,T_b,T_c] :
% 163.42/163.14 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.14 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,V_f_2),c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)) = c_Fun_Oid(T_b) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inj__transfer,axiom,
% 163.42/163.14 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.14 => ( ! [B_y] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 163.42/163.14 => 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))) )
% 163.42/163.14 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_fold__image__UN__disjoint,axiom,
% 163.42/163.14 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 163.42/163.14 ( class_Groups_Ocomm__monoid__mult(T_d)
% 163.42/163.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 163.42/163.14 => ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 163.42/163.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 163.42/163.14 => ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 163.42/163.14 => ! [B_xa] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 163.42/163.14 => ( B_x != B_xa
% 163.42/163.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,B_x)),hAPP(V_A_2,B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) )
% 163.42/163.14 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),T_d,T_b),hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d))),V_A_2)),c_Groups_Oone__class_Oone(T_d)),V_I_2) ) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_nat__of__induct,axiom,
% 163.42/163.14 ! [V_Pa_2,V_y_2] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.42/163.14 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 163.42/163.14 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_nat__of__cases,axiom,
% 163.42/163.14 ! [V_y_2] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.42/163.14 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_of__nat__induct,axiom,
% 163.42/163.14 ! [V_x_2,V_Pa_2] :
% 163.42/163.14 ( ! [B_y] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.42/163.14 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 163.42/163.14 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_of__nat__cases,axiom,
% 163.42/163.14 ! [V_x_2] :
% 163.42/163.14 ~ ! [B_y] :
% 163.42/163.14 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 163.42/163.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 163.42/163.14 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 163.42/163.14
% 163.42/163.14 fof(fact_beyond__def,axiom,
% 163.42/163.14 ! [V_l,V_k] :
% 163.42/163.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 163.42/163.14 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 163.42/163.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 163.42/163.14 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_beyond__zero,axiom,
% 163.42/163.14 ! [V_k] : c_Quickcheck_Obeyond(V_k,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 163.42/163.14 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,V_lazy__sequence_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__image__Collect__eq,axiom,
% 163.42/163.14 ! [V_Pa_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 => 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))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_curry__def,axiom,
% 163.42/163.14 ! [V_y_2,V_x_2,V_ca_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_ca_2),V_x_2),V_y_2) = hAPP(V_ca_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_curryI,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 163.42/163.14 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__id,axiom,
% 163.42/163.14 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__inv__into,axiom,
% 163.42/163.14 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.42/163.14 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__into__inv__into__eq,axiom,
% 163.42/163.14 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.42/163.14 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_H_2,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inv__inv__eq,axiom,
% 163.42/163.14 ! [V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 => c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) = V_f_2 ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__imp__bij__inv,axiom,
% 163.42/163.14 ! [V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_o__inv__distrib,axiom,
% 163.42/163.14 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 => ( c_Fun_Obij__betw(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.14 => c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__image__INT,axiom,
% 163.42/163.14 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__comp__iff2,axiom,
% 163.42/163.14 ! [V_A_2,V_f_2,T_d,V_A_H_H_2,V_A_H_2,V_f_H_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),V_A_H_2))
% 163.42/163.14 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 163.42/163.14 <=> c_Fun_Obij__betw(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__trans,axiom,
% 163.42/163.14 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.42/163.14 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 163.42/163.14 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2,V_C_2) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__comp__iff,axiom,
% 163.42/163.14 ! [V_A_H_H_2,V_f_H_2,T_d,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 163.42/163.14 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 163.42/163.14 <=> c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__comp,axiom,
% 163.42/163.14 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 163.42/163.14 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_curryE,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 163.42/163.14 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_curryD,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 163.42/163.14 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_curry__conv,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_f_2),V_a_2),V_b_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_finite__vimage__iff,axiom,
% 163.42/163.14 ! [V_F_2,V_h_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 163.42/163.14 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__image__Compl__eq,axiom,
% 163.42/163.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__def,axiom,
% 163.42/163.14 ! [V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.14 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bijI,axiom,
% 163.42/163.14 ! [V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.42/163.14 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 163.42/163.14 => c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__combine,axiom,
% 163.42/163.14 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.42/163.14 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 163.42/163.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 163.42/163.14 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2)) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__Disj__Un,axiom,
% 163.42/163.14 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 163.42/163.14 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.42/163.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 163.42/163.14 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 163.42/163.14 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 163.42/163.14 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2)) ) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__subset,axiom,
% 163.42/163.14 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.42/163.14 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 163.42/163.14 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__is__surj,axiom,
% 163.42/163.14 ! [V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__imp__surj,axiom,
% 163.42/163.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__def,axiom,
% 163.42/163.14 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.42/163.14 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.14 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inj__on__imp__bij__betw,axiom,
% 163.42/163.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.14 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__imp__inj__on,axiom,
% 163.42/163.14 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.42/163.14 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__is__inj,axiom,
% 163.42/163.14 ! [V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__the__inv__into,axiom,
% 163.42/163.14 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.42/163.14 => c_Fun_Obij__betw(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__same__card,axiom,
% 163.42/163.14 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.42/163.14 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__empty2,axiom,
% 163.42/163.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__empty1,axiom,
% 163.42/163.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 163.42/163.14 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__finite,axiom,
% 163.42/163.14 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.42/163.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.14 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_BIJ,axiom,
% 163.42/163.14 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.42/163.14 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 163.42/163.14 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__betw__id__iff,axiom,
% 163.42/163.14 ! [V_B_2,V_A_2,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 163.42/163.14 <=> V_A_2 = V_B_2 ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__id,axiom,
% 163.42/163.14 ! [T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_split__curry,axiom,
% 163.42/163.14 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),c_Product__Type_Ocurry(T_b,T_c,T_d,V_f_2)) = V_f_2 ).
% 163.42/163.14
% 163.42/163.14 fof(fact_curry__split,axiom,
% 163.42/163.14 ! [V_f_2,T_d,T_c,T_b] : c_Product__Type_Ocurry(T_b,T_c,T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)) = V_f_2 ).
% 163.42/163.14
% 163.42/163.14 fof(fact_vimage__subset__eq,axiom,
% 163.42/163.14 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bij__vimage__eq__inv__image,axiom,
% 163.42/163.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.42/163.14 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_A_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 163.42/163.14 ! [V_M_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 163.42/163.14 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Cantor__Bernstein,axiom,
% 163.42/163.14 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 163.42/163.14 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2))
% 163.42/163.14 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_ex__bij__betw__nat__finite,axiom,
% 163.42/163.14 ! [V_M_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 163.42/163.14 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_ex__bij__betw__finite__nat,axiom,
% 163.42/163.14 ! [V_M_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 163.42/163.14 => ? [B_h] : c_Fun_Obij__betw(T_b,tc_Nat_Onat,B_h,V_M_2,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_refl__on__UNION,axiom,
% 163.42/163.14 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 163.42/163.14 ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.42/163.14 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 163.42/163.14 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bex__reg__eqv,axiom,
% 163.42/163.14 ! [V_Pa_2,V_R_2,T_b] :
% 163.42/163.14 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.42/163.14 => ( ? [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 163.42/163.14 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.14 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_in__respects,axiom,
% 163.42/163.14 ! [V_R_2,V_x_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2)))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Respects__def,axiom,
% 163.42/163.14 ! [V_x_2,V_R_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_bex__reg__right,axiom,
% 163.42/163.14 ! [V_Pa_2,V_Qa_2,V_R_2,T_b] :
% 163.42/163.14 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.42/163.14 => ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(V_Qa_2,B_x))
% 163.42/163.14 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 163.42/163.14 => ( ? [B_x1] : hBOOL(hAPP(V_Qa_2,B_x1))
% 163.42/163.14 => ? [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 163.42/163.14 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_babs__reg__eqv,axiom,
% 163.42/163.14 ! [V_Pa_2,T_c,V_R_2,T_b] :
% 163.42/163.14 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.42/163.14 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_Babs__def,axiom,
% 163.42/163.14 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2))
% 163.42/163.14 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_wf__weak__decr__stable,axiom,
% 163.42/163.14 ! [V_r_2,V_f_2,T_b] :
% 163.42/163.14 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 163.42/163.14 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2))
% 163.42/163.14 => ? [B_i] :
% 163.42/163.14 ! [B_k] : hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),B_k)) = hAPP(V_f_2,B_i) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_INT__anti__mono,axiom,
% 163.42/163.14 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.42/163.14 => ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_g_2))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_INT__greatest,axiom,
% 163.42/163.14 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] :
% 163.42/163.14 ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(V_B_2,B_x))) )
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_rtrancl__induct2,axiom,
% 163.42/163.14 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))
% 163.42/163.14 => ( ! [B_a,B_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 163.42/163.14 => ! [B_aa,B_ba] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))
% 163.42/163.14 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) )
% 163.42/163.14 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_converse__rtranclE2,axiom,
% 163.42/163.14 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 163.42/163.14 => ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2) != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2)
% 163.42/163.14 => ~ ! [B_a,B_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),V_r_2))
% 163.42/163.14 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_converse__rtrancl__induct2,axiom,
% 163.42/163.14 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))
% 163.42/163.14 => ( ! [B_a,B_b,B_aa,B_ba] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba))
% 163.42/163.14 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) )
% 163.42/163.14 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_congruent2I_H,axiom,
% 163.42/163.14 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 163.42/163.14 ( ! [B_y1,B_z1] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y1),B_z1)),V_r1_2))
% 163.42/163.14 => ! [B_y2,B_z2] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y2),B_z2)),V_r2_2))
% 163.42/163.14 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 163.42/163.14 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_congruentI,axiom,
% 163.42/163.14 ! [T_c,V_f_2,V_r_2,T_b] :
% 163.42/163.14 ( ! [B_y,B_z] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2))
% 163.42/163.14 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 163.42/163.14 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact__03,axiom,
% 163.42/163.14 ! [V_xqq,V_xq,T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(T_a),V_xq,V_xqq)) = c_Lazy__Sequence_Oappend(T_a,V_xq,c_Lazy__Sequence_Oflat(T_a,V_xqq)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_all__interval__nat__def,axiom,
% 163.42/163.14 ! [V_j_2,V_i_2,V_Pa_2] :
% 163.42/163.14 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2)
% 163.42/163.14 <=> ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)))
% 163.42/163.14 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact__04,axiom,
% 163.42/163.14 ! [T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(T_a))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__all__iff__all__interval__nat,axiom,
% 163.42/163.14 ! [V_j_2,V_i_2,V_Pa_2] :
% 163.42/163.14 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 163.42/163.14 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 163.42/163.14 ! [V_j_2,V_i_2,V_Pa_2] :
% 163.42/163.14 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 163.42/163.14 <=> ~ c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact__05,axiom,
% 163.42/163.14 ! [V_f_2,V_xq_2,T_b,T_c] : hAPP(c_Lazy__Sequence_Obind(T_c,T_b,V_xq_2),V_f_2) = c_Lazy__Sequence_Oflat(T_b,c_Lazy__Sequence_Omap(T_c,tc_Lazy__Sequence_Olazy__sequence(T_b),V_f_2,V_xq_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_folding__image_Ocong,axiom,
% 163.42/163.14 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 163.42/163.14 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 163.42/163.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.42/163.14 => ( ! [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.42/163.14 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 163.42/163.14 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact__06,axiom,
% 163.42/163.14 ! [V_xq_2,V_x_2,V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_x_2,V_xq_2)) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,hAPP(V_f_2,V_x_2),c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,V_xq_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact__07,axiom,
% 163.42/163.14 ! [V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_New__DSequence_Opos__map__def,axiom,
% 163.42/163.14 ! [V_i_2,V_xq_2,V_f_2,T_b,T_c] : c_New__DSequence_Opos__map(T_c,T_b,V_f_2,V_xq_2,V_i_2) = c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,hAPP(V_xq_2,V_i_2)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_power__dvd__imp__le,axiom,
% 163.42/163.14 ! [V_n,V_m,V_i] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_Oorder__refl,axiom,
% 163.42/163.14 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__0__right,axiom,
% 163.42/163.14 ! [V_a,T_a] :
% 163.42/163.14 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__1__left,axiom,
% 163.42/163.14 ! [V_k] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k)) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__mult__cancel,axiom,
% 163.42/163.14 ! [V_n,V_m,V_k] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_nat__mult__dvd__cancel1,axiom,
% 163.42/163.14 ! [V_n_2,V_m_2,V_k_2] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_setprod__dvd__setprod__subset,axiom,
% 163.42/163.14 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 163.42/163.14 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.42/163.14 & class_Rings_Odvd(T_c) )
% 163.42/163.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inf__period_I4_J,axiom,
% 163.42/163.14 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 163.42/163.14 ( ( class_Rings_Ocomm__ring(T_b)
% 163.42/163.14 & class_Rings_Odvd(T_b) )
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 163.42/163.14 => ! [B_x,B_k] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2)))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_inf__period_I3_J,axiom,
% 163.42/163.14 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 163.42/163.14 ( ( class_Rings_Ocomm__ring(T_b)
% 163.42/163.14 & class_Rings_Odvd(T_b) )
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 163.42/163.14 => ! [B_x,B_k] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2)))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__div__div__eq__mult,axiom,
% 163.42/163.14 ! [V_d_2,V_b_2,V_ca_2,V_a_2,T_b] :
% 163.42/163.14 ( class_Divides_Osemiring__div(T_b)
% 163.42/163.14 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.42/163.14 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_ca_2),V_d_2))
% 163.42/163.14 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_d_2),V_ca_2)
% 163.42/163.14 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_ca_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2) ) ) ) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__div__eq__mult,axiom,
% 163.42/163.14 ! [V_ca_2,V_b_2,V_a_2,T_b] :
% 163.42/163.14 ( class_Divides_Osemiring__div(T_b)
% 163.42/163.14 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 163.42/163.14 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_ca_2
% 163.42/163.14 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2) ) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_unity__coeff__ex,axiom,
% 163.42/163.14 ! [V_l_2,V_Pa_2,T_b] :
% 163.42/163.14 ( ( class_Rings_Odvd(T_b)
% 163.42/163.14 & class_Rings_Osemiring__0(T_b) )
% 163.42/163.14 => ( ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x)))
% 163.42/163.14 <=> ? [B_x] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),c_Groups_Ozero__class_Ozero(T_b))))
% 163.42/163.14 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__mult__div__cancel,axiom,
% 163.42/163.14 ! [V_b,V_a,T_a] :
% 163.42/163.14 ( class_Divides_Osemiring__div(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.42/163.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)) = V_b ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_div__mult__swap,axiom,
% 163.42/163.14 ! [V_a,V_b,V_c,T_a] :
% 163.42/163.14 ( class_Divides_Osemiring__div(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 163.42/163.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__div__mult__self,axiom,
% 163.42/163.14 ! [V_b,V_a,T_a] :
% 163.42/163.14 ( class_Divides_Osemiring__div(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.42/163.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_a) = V_b ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__div__mult,axiom,
% 163.42/163.14 ! [V_c,V_b,V_a,T_a] :
% 163.42/163.14 ( class_Divides_Osemiring__div(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.42/163.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_c) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_a) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_div__mult__div__if__dvd,axiom,
% 163.42/163.14 ! [V_w,V_z,V_x,V_y,T_a] :
% 163.42/163.14 ( class_Divides_Osemiring__div(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 163.42/163.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_w),V_z)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__mult__cancel__left,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 163.42/163.14 ( class_Rings_Oidom(T_b)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 163.42/163.14 <=> ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.42/163.14 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__mult__cancel__right,axiom,
% 163.42/163.14 ! [V_b_2,V_ca_2,V_a_2,T_b] :
% 163.42/163.14 ( class_Rings_Oidom(T_b)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_ca_2)))
% 163.42/163.14 <=> ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.42/163.14 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__triv__left,axiom,
% 163.42/163.14 ! [V_b,V_a,T_a] :
% 163.42/163.14 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__triv__right,axiom,
% 163.42/163.14 ! [V_b,V_a,T_a] :
% 163.42/163.14 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__mult2,axiom,
% 163.42/163.14 ! [V_c,V_b,V_a,T_a] :
% 163.42/163.14 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__mult,axiom,
% 163.42/163.14 ! [V_b,V_c,V_a,T_a] :
% 163.42/163.14 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_mult__dvd__mono,axiom,
% 163.42/163.14 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.42/163.14 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvdI,axiom,
% 163.42/163.14 ! [V_k,V_b,V_a,T_a] :
% 163.42/163.14 ( class_Rings_Odvd(T_a)
% 163.42/163.14 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__mult__left,axiom,
% 163.42/163.14 ! [V_c,V_b,V_a,T_a] :
% 163.42/163.14 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__mult__right,axiom,
% 163.42/163.14 ! [V_c,V_b,V_a,T_a] :
% 163.42/163.14 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 163.42/163.14 ! [V_n_2,V_m_2,V_k_2] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 163.42/163.14 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.42/163.14 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__setprod,axiom,
% 163.42/163.14 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 163.42/163.14 ( class_Rings_Ocomm__semiring__1(T_c)
% 163.42/163.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(V_f_2,V_i_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 163.42/163.14 ! [V_ca_2,V_b_2,V_a_2] :
% 163.42/163.14 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))
% 163.42/163.14 <=> ( V_a_2 = V_b_2
% 163.42/163.14 & V_b_2 = V_ca_2 ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 163.42/163.14 ! [V_a_2] : c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2] :
% 163.42/163.14 ( V_a_2 = V_b_2
% 163.42/163.14 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2] :
% 163.42/163.14 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)
% 163.42/163.14 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2] :
% 163.42/163.14 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 163.42/163.14 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 163.42/163.14 ! [V_a_2,V_b_2] :
% 163.42/163.14 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 163.42/163.14 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 163.42/163.14 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 163.42/163.14 ! [V_k_2,V_l_2] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 163.42/163.14 => c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 163.42/163.14 ! [V_a_2,V_b_2] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 163.42/163.14 => c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 163.42/163.14 ! [V_k_2,V_l_2] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 163.42/163.14 => c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 163.42/163.14 ! [V_l_2,V_k_2] :
% 163.42/163.14 ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 163.42/163.14 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 163.42/163.14 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2] :
% 163.42/163.14 ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 163.42/163.14 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 163.42/163.14 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 163.42/163.14 ! [V_l_2,V_k_2] :
% 163.42/163.14 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2)
% 163.42/163.14 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 163.42/163.14 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2] :
% 163.42/163.14 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2)
% 163.42/163.14 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 163.42/163.14 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__diff__nat,axiom,
% 163.42/163.14 ! [V_n,V_m,V_k] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__diff,axiom,
% 163.42/163.14 ! [V_z,V_y,V_x,T_a] :
% 163.42/163.14 ( class_Rings_Ocomm__ring__1(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z))) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__minus__iff,axiom,
% 163.42/163.14 ! [V_y_2,V_x_2,T_b] :
% 163.42/163.14 ( class_Rings_Ocomm__ring__1(T_b)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_minus__dvd__iff,axiom,
% 163.42/163.14 ! [V_y_2,V_x_2,T_b] :
% 163.42/163.14 ( class_Rings_Ocomm__ring__1(T_b)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__neg__div,axiom,
% 163.42/163.14 ! [V_x,V_y,T_a] :
% 163.42/163.14 ( class_Divides_Oring__div(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 163.42/163.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_y) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__div__neg,axiom,
% 163.42/163.14 ! [V_x,V_y,T_a] :
% 163.42/163.14 ( class_Divides_Oring__div(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 163.42/163.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__eq__mod__eq__0,axiom,
% 163.42/163.14 ! [V_b_2,V_a_2,T_b] :
% 163.42/163.14 ( class_Divides_Osemiring__div(T_b)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 163.42/163.14 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__imp__mod__0,axiom,
% 163.42/163.14 ! [V_b,V_a,T_a] :
% 163.42/163.14 ( class_Divides_Osemiring__div(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.42/163.14 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 163.42/163.14 ! [V_d_2,V_ca_2,V_b_2,V_a_2] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2,V_d_2)))
% 163.42/163.14 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 163.42/163.14 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2),V_a_2))
% 163.42/163.14 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 163.42/163.14 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2),V_a_2))
% 163.42/163.14 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ca_2)) )
% 163.42/163.14 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 163.42/163.14 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) )
% 163.42/163.14 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ca_2),V_d_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__abs__iff,axiom,
% 163.42/163.14 ! [V_k_2,V_m_2,T_b] :
% 163.42/163.14 ( class_Rings_Olinordered__idom(T_b)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2)))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_abs__dvd__iff,axiom,
% 163.42/163.14 ! [V_k_2,V_m_2,T_b] :
% 163.42/163.14 ( class_Rings_Olinordered__idom(T_b)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2))
% 163.42/163.14 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__if__abs__eq,axiom,
% 163.42/163.14 ! [V_k,V_l,T_a] :
% 163.42/163.14 ( class_Rings_Olinordered__idom(T_a)
% 163.42/163.14 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k)
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__trans,axiom,
% 163.42/163.14 ! [V_c,V_b,V_a,T_a] :
% 163.42/163.14 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd__refl,axiom,
% 163.42/163.14 ! [V_a,T_a] :
% 163.42/163.14 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.42/163.14 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(fact_dvd_Oless__asym,axiom,
% 163.42/163.14 ! [V_y,V_x] :
% 163.42/163.14 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.42/163.14 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 163.42/163.14 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 163.42/163.14 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 163.42/163.14
% 163.42/163.14 %----Arity declarations (222)
% 163.42/163.14 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 163.42/163.14 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Lattices_Obounded__lattice(T_1)
% 163.42/163.14 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 163.42/163.14 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Lattices_Obounded__lattice(T_1)
% 163.42/163.14 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Lattices_Obounded__lattice(T_1)
% 163.42/163.14 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Lattices_Olattice(T_1)
% 163.42/163.14 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Lattices_Olattice(T_1)
% 163.42/163.14 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Lattices_Odistrib__lattice(T_1)
% 163.42/163.14 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Lattices_Oboolean__algebra(T_1)
% 163.42/163.14 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Orderings_Opreorder,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Orderings_Opreorder(T_1)
% 163.42/163.14 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 163.42/163.14 ! [T_1,T_2] :
% 163.42/163.14 ( ( class_Finite__Set_Ofinite(T_2)
% 163.42/163.14 & class_Finite__Set_Ofinite(T_1) )
% 163.42/163.14 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Lattices_Olattice,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Lattices_Olattice(T_1)
% 163.42/163.14 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Orderings_Oorder,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Orderings_Oorder(T_1)
% 163.42/163.14 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Orderings_Otop,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Orderings_Otop(T_1)
% 163.42/163.14 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Orderings_Oord,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Orderings_Oord(T_1)
% 163.42/163.14 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Orderings_Obot,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Orderings_Obot(T_1)
% 163.42/163.14 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Groups_Ouminus,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Groups_Ouminus(T_1)
% 163.42/163.14 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Groups_Ominus,axiom,
% 163.42/163.14 ! [T_2,T_1] :
% 163.42/163.14 ( class_Groups_Ominus(T_1)
% 163.42/163.14 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_fun__Enum_Oenum,axiom,
% 163.42/163.14 ! [T_1,T_2] :
% 163.42/163.14 ( ( class_Enum_Oenum(T_2)
% 163.42/163.14 & class_Enum_Oenum(T_1) )
% 163.42/163.14 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 163.42/163.14 class_Nat_Osize(tc_Com_Ocom) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 163.42/163.14 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 163.42/163.14 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 163.42/163.14 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 163.42/163.14 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 163.42/163.14 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 163.42/163.14 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 163.42/163.14 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 163.42/163.14 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 163.42/163.14 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 163.42/163.14 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 163.42/163.14 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 163.42/163.14 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 163.42/163.14 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 163.42/163.14 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 163.42/163.14 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 163.42/163.14 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 163.42/163.14 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 163.42/163.14 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 163.42/163.14 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 163.42/163.14 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 163.42/163.14 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 163.42/163.14 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 163.42/163.14 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 163.42/163.14 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 163.42/163.14 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 163.42/163.14 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 163.42/163.14 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 163.42/163.14 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 163.42/163.14 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 163.42/163.14 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 163.42/163.14 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 163.42/163.14 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 163.42/163.14 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 163.42/163.14 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 163.42/163.14 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 163.42/163.14 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 163.42/163.14 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 163.42/163.14 class_Orderings_Opreorder(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 163.42/163.14 class_Orderings_Olinorder(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 163.42/163.14 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 163.42/163.14 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 163.42/163.14 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 163.42/163.14 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 163.42/163.14 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 163.42/163.14 class_Lattices_Olattice(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 163.42/163.14 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 163.42/163.14 class_Divides_Oring__div(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 163.42/163.14 class_Rings_Omult__zero(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 163.42/163.14 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 163.42/163.14 class_Orderings_Oorder(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 163.42/163.14 class_Int_Oring__char__0(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 163.42/163.14 class_Int_Onumber__ring(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 163.42/163.14 class_Rings_Osemiring(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 163.42/163.14 class_Orderings_Oord(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 163.42/163.14 class_Groups_Ouminus(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 163.42/163.14 class_Groups_Osgn__if(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 163.42/163.14 class_Groups_Oabs__if(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 163.42/163.14 class_Rings_Oring__1(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 163.42/163.14 class_Groups_Ominus(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Power_Opower,axiom,
% 163.42/163.14 class_Power_Opower(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 163.42/163.14 class_Groups_Ozero(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Oring,axiom,
% 163.42/163.14 class_Rings_Oring(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 163.42/163.14 class_Rings_Oidom(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Int_Onumber,axiom,
% 163.42/163.14 class_Int_Onumber(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Groups_Oone,axiom,
% 163.42/163.14 class_Groups_Oone(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 163.42/163.14 class_Rings_Odvd(tc_Int_Oint) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 163.42/163.14 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 163.42/163.14 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 163.42/163.14 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 163.42/163.14 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 163.42/163.14 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 163.42/163.14 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 163.42/163.14 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 163.42/163.14 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 163.42/163.14 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 163.42/163.14 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 163.42/163.14 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 163.42/163.14 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 163.42/163.14 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 163.42/163.14 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 163.42/163.14 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 163.42/163.14 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 163.42/163.14 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 163.42/163.14 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 163.42/163.14 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 163.42/163.14 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 163.42/163.14 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 163.42/163.14 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 163.42/163.14 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 163.42/163.14 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 163.42/163.14 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 163.42/163.14 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 163.42/163.14 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 163.42/163.14 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 163.42/163.14 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 163.42/163.14 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 163.42/163.14 class_Lattices_Olattice(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 163.42/163.14 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 163.42/163.14 class_Orderings_Oorder(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 163.42/163.14 class_Rings_Osemiring(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 163.42/163.14 class_Orderings_Oord(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 163.42/163.14 class_Orderings_Obot(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 163.42/163.14 class_Groups_Ominus(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Power_Opower,axiom,
% 163.42/163.14 class_Power_Opower(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 163.42/163.14 class_Groups_Ozero(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 163.42/163.14 class_Int_Onumber(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 163.42/163.14 class_Groups_Oone(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 163.42/163.14 class_Rings_Odvd(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 163.42/163.14 class_Nat_Osize(tc_Nat_Onat) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 163.42/163.14 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 163.42/163.14 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 163.42/163.14 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 163.42/163.14 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 163.42/163.14 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 163.42/163.14 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 163.42/163.14 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 163.42/163.14 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 163.42/163.14 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 163.42/163.14 class_Lattices_Olattice(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 163.42/163.14 class_Orderings_Oorder(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 163.42/163.14 class_Orderings_Otop(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 163.42/163.14 class_Orderings_Oord(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 163.42/163.14 class_Orderings_Obot(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 163.42/163.14 class_Groups_Ouminus(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 163.42/163.14 class_Groups_Ominus(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 163.42/163.14 class_Enum_Oenum(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 163.42/163.14 class_Nat_Osize(tc_HOL_Obool) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 163.42/163.14 class_Nat_Osize(tc_Com_Ostate) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 163.42/163.14 ! [T_1] :
% 163.42/163.14 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 163.42/163.14 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_List__Olist__Nat_Osize,axiom,
% 163.42/163.14 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 163.42/163.14 ! [T_1,T_2] :
% 163.42/163.14 ( ( class_Finite__Set_Ofinite(T_2)
% 163.42/163.14 & class_Finite__Set_Ofinite(T_1) )
% 163.42/163.14 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_sum__Enum_Oenum,axiom,
% 163.42/163.14 ! [T_1,T_2] :
% 163.42/163.14 ( ( class_Enum_Oenum(T_2)
% 163.42/163.14 & class_Enum_Oenum(T_1) )
% 163.42/163.14 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_sum__Nat_Osize,axiom,
% 163.42/163.14 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 163.42/163.14 ! [T_1] :
% 163.42/163.14 ( class_Finite__Set_Ofinite(T_1)
% 163.42/163.14 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 163.42/163.14 ! [T_1] :
% 163.42/163.14 ( class_Enum_Oenum(T_1)
% 163.42/163.14 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 163.42/163.14 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 163.42/163.14 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 163.42/163.14 ! [T_1,T_2] :
% 163.42/163.14 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 163.42/163.14 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 163.42/163.14 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 163.42/163.14 ! [T_1,T_2] :
% 163.42/163.14 ( ( class_Finite__Set_Ofinite(T_2)
% 163.42/163.14 & class_Finite__Set_Ofinite(T_1) )
% 163.42/163.14 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_prod__Enum_Oenum,axiom,
% 163.42/163.14 ! [T_1,T_2] :
% 163.42/163.14 ( ( class_Enum_Oenum(T_2)
% 163.42/163.14 & class_Enum_Oenum(T_1) )
% 163.42/163.14 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_prod__Nat_Osize,axiom,
% 163.42/163.14 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 163.42/163.14 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 163.42/163.14 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 163.42/163.14 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 163.42/163.14 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 163.42/163.14 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 163.42/163.14 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 163.42/163.14 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 163.42/163.14 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 163.42/163.14 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 163.42/163.14 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 163.42/163.14 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 163.42/163.14 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 163.42/163.14 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 163.42/163.14 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 163.42/163.14 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 163.42/163.14 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 163.42/163.14 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 163.42/163.14 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 163.42/163.14 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 163.42/163.14 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 163.42/163.14 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 163.42/163.14 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 163.42/163.14 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 163.42/163.14 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 163.42/163.14 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 163.42/163.14 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 163.42/163.14 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 163.42/163.14 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 163.42/163.14 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 163.42/163.14 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 163.42/163.14 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 163.42/163.14 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 163.42/163.14 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 163.42/163.14 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 163.42/163.14 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 163.42/163.14 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 163.42/163.14 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 163.42/163.14 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 163.42/163.14 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 163.42/163.14 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 163.42/163.14 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 163.42/163.14 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 163.42/163.14 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 163.42/163.14
% 163.42/163.14 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 163.42/163.14 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 163.42/163.14
% 163.42/163.14 %----Helper facts (20)
% 163.42/163.14 fof(help_c__COMBI__1,axiom,
% 163.42/163.14 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__COMBK__1,axiom,
% 163.42/163.14 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__COMBB__1,axiom,
% 163.42/163.14 ! [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)) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__COMBC__1,axiom,
% 163.42/163.14 ! [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) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__COMBS__1,axiom,
% 163.42/163.14 ! [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)) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fequal__1,axiom,
% 163.42/163.14 ! [V_y_2,V_x_2] :
% 163.42/163.14 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 163.42/163.14 | V_x_2 = V_y_2 ) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fequal__2,axiom,
% 163.42/163.14 ! [V_y_2,V_x_2] :
% 163.42/163.14 ( V_x_2 != V_y_2
% 163.42/163.14 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fFalse__1,axiom,
% 163.42/163.14 ~ hBOOL(c_fFalse) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fTrue__1,axiom,
% 163.42/163.14 hBOOL(c_fTrue) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fNot__1,axiom,
% 163.42/163.14 ! [V_Pa_2] :
% 163.42/163.14 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 163.42/163.14 | ~ hBOOL(V_Pa_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fNot__2,axiom,
% 163.42/163.14 ! [V_Pa_2] :
% 163.42/163.14 ( ~ ~ hBOOL(V_Pa_2)
% 163.42/163.14 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fconj__1,axiom,
% 163.42/163.14 ! [V_Qa_2,V_Pa_2] :
% 163.42/163.14 ( ~ hBOOL(V_Pa_2)
% 163.42/163.14 | ~ hBOOL(V_Qa_2)
% 163.42/163.14 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fconj__2,axiom,
% 163.42/163.14 ! [V_Qa_2,V_Pa_2] :
% 163.42/163.14 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 163.42/163.14 | hBOOL(V_Pa_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fconj__3,axiom,
% 163.42/163.14 ! [V_Qa_2,V_Pa_2] :
% 163.42/163.14 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 163.42/163.14 | hBOOL(V_Qa_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fdisj__1,axiom,
% 163.42/163.14 ! [V_Qa_2,V_Pa_2] :
% 163.42/163.14 ( ~ hBOOL(V_Pa_2)
% 163.42/163.14 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fdisj__2,axiom,
% 163.42/163.14 ! [V_Pa_2,V_Qa_2] :
% 163.42/163.14 ( ~ hBOOL(V_Qa_2)
% 163.42/163.14 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fdisj__3,axiom,
% 163.42/163.14 ! [V_Qa_2,V_Pa_2] :
% 163.42/163.14 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2))
% 163.42/163.14 | hBOOL(V_Pa_2)
% 163.42/163.14 | hBOOL(V_Qa_2) ) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fimplies__1,axiom,
% 163.42/163.14 ! [V_Qa_2,V_Pa_2] :
% 163.42/163.14 ( hBOOL(V_Pa_2)
% 163.42/163.14 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fimplies__2,axiom,
% 163.42/163.14 ! [V_Pa_2,V_Qa_2] :
% 163.42/163.14 ( ~ hBOOL(V_Qa_2)
% 163.42/163.14 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 163.42/163.14
% 163.42/163.14 fof(help_c__fimplies__3,axiom,
% 163.42/163.14 ! [V_Qa_2,V_Pa_2] :
% 163.42/163.14 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2))
% 163.42/163.14 | ~ hBOOL(V_Pa_2)
% 163.42/163.14 | hBOOL(V_Qa_2) ) ).
% 163.42/163.14
% 163.42/163.14 %----Conjectures (3)
% 163.42/163.14 fof(conj_0,hypothesis,
% 163.42/163.14 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)))) ).
% 163.42/163.14
% 163.42/163.14 fof(conj_1,hypothesis,
% 163.42/163.14 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_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ).
% 163.42/163.14
% 163.42/163.14 fof(conj_2,conjecture,
% 163.42/163.14 ! [B_Z,B_s] :
% 163.42/163.14 ( ( hBOOL(hAPP(hAPP(v_P,B_Z),B_s))
% 163.42/163.14 | hBOOL(hAPP(hAPP(v_P_H,B_Z),B_s)) )
% 163.42/163.14 => ? [B_P_H,B_Q_H] :
% 163.42/163.14 ( 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),B_P_H),v_c),B_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
% 163.42/163.14 & ! [B_s_H] :
% 163.42/163.14 ( ! [B_Z_H] :
% 163.42/163.14 ( hBOOL(hAPP(hAPP(B_P_H,B_Z_H),B_s))
% 163.42/163.14 => hBOOL(hAPP(hAPP(B_Q_H,B_Z_H),B_s_H)) )
% 163.42/163.14 => ( hBOOL(hAPP(hAPP(v_Q,B_Z),B_s_H))
% 163.42/163.14 | hBOOL(hAPP(hAPP(v_Q_H,B_Z),B_s_H)) ) ) ) ) ).
% 163.42/163.14
% 163.42/163.14 %------------------------------------------------------------------------------
% 163.42/163.14 %-------------------------------------------
% 163.42/163.14 % Proof found
% 163.42/163.14 % SZS status Theorem for theBenchmark
% 163.42/163.14 % SZS output start Proof
% 163.42/163.15 %ClaNum:10489(EqnAxiom:3121)
% 163.42/163.15 %VarNum:71285(SingletonVarNum:20613)
% 163.42/163.15 %MaxLitNum:8
% 163.42/163.15 %MaxfuncDepth:13
% 163.42/163.15 %SharedTerms:1040
% 163.42/163.15 %goalClause: 5286 8832 8833 8872
% 163.42/163.15 [3125]P1(a916)
% 163.42/163.15 [3126]P1(a920)
% 163.42/163.15 [3127]P106(a187)
% 163.42/163.15 [3128]P107(a916)
% 163.42/163.15 [3129]P107(a920)
% 163.42/163.15 [3130]P107(a1)
% 163.42/163.15 [3131]P107(a99)
% 163.42/163.15 [3132]P108(a916)
% 163.42/163.15 [3133]P108(a920)
% 163.42/163.15 [3134]P108(a1)
% 163.42/163.15 [3135]P108(a99)
% 163.42/163.15 [3136]P109(a920)
% 163.42/163.15 [3137]P109(a1)
% 163.42/163.15 [3138]P109(a99)
% 163.42/163.15 [3139]P110(a916)
% 163.42/163.15 [3140]P110(a920)
% 163.42/163.15 [3141]P110(a1)
% 163.42/163.15 [3142]P110(a99)
% 163.42/163.15 [3143]P2(a916)
% 163.42/163.15 [3144]P2(a920)
% 163.42/163.15 [3145]P2(a1)
% 163.42/163.15 [3146]P3(a916)
% 163.42/163.15 [3147]P101(a916)
% 163.42/163.15 [3148]P101(a920)
% 163.42/163.15 [3149]P101(a1)
% 163.42/163.15 [3150]P4(a916)
% 163.42/163.15 [3151]P4(a920)
% 163.42/163.15 [3152]P4(a1)
% 163.42/163.15 [3153]P4(a99)
% 163.42/163.15 [3154]P5(a916)
% 163.42/163.15 [3155]P5(a923)
% 163.42/163.15 [3156]P80(a1)
% 163.42/163.15 [3157]P69(a1)
% 163.42/163.15 [3158]P111(a1)
% 163.42/163.15 [3159]P70(a920)
% 163.42/163.15 [3160]P70(a1)
% 163.42/163.15 [3161]P70(a99)
% 163.42/163.15 [3162]P102(a916)
% 163.42/163.15 [3163]P102(a920)
% 163.42/163.15 [3164]P102(a1)
% 163.42/163.15 [3165]P99(a916)
% 163.42/163.15 [3166]P99(a920)
% 163.42/163.15 [3167]P99(a1)
% 163.42/163.15 [3168]P72(a920)
% 163.42/163.15 [3169]P72(a1)
% 163.42/163.15 [3170]P72(a99)
% 163.42/163.15 [3171]P84(a920)
% 163.42/163.15 [3172]P84(a1)
% 163.42/163.15 [3173]P84(a99)
% 163.42/163.15 [3174]P73(a920)
% 163.42/163.15 [3175]P73(a1)
% 163.42/163.15 [3176]P73(a99)
% 163.42/163.15 [3177]P74(a920)
% 163.42/163.15 [3178]P74(a1)
% 163.42/163.15 [3179]P74(a99)
% 163.42/163.15 [3180]P71(a920)
% 163.42/163.15 [3181]P71(a1)
% 163.42/163.15 [3182]P71(a99)
% 163.42/163.15 [3183]P85(a920)
% 163.42/163.15 [3184]P85(a1)
% 163.42/163.15 [3185]P85(a99)
% 163.42/163.15 [3186]P86(a920)
% 163.42/163.15 [3187]P86(a1)
% 163.42/163.15 [3188]P86(a99)
% 163.42/163.15 [3189]P76(a1)
% 163.42/163.15 [3190]P112(a1)
% 163.42/163.15 [3191]P113(a920)
% 163.42/163.15 [3192]P113(a1)
% 163.42/163.15 [3193]P113(a99)
% 163.42/163.15 [3194]P120(a1)
% 163.42/163.15 [3195]P140(a920)
% 163.42/163.15 [3196]P140(a1)
% 163.42/163.15 [3197]P141(a920)
% 163.42/163.15 [3198]P141(a1)
% 163.42/163.15 [3199]P141(a99)
% 163.42/163.15 [3200]P114(a920)
% 163.42/163.15 [3201]P114(a1)
% 163.42/163.15 [3202]P114(a99)
% 163.42/163.15 [3203]P77(a920)
% 163.42/163.15 [3204]P77(a1)
% 163.42/163.15 [3205]P77(a99)
% 163.42/163.15 [3206]P81(a920)
% 163.42/163.15 [3207]P81(a1)
% 163.42/163.15 [3208]P81(a99)
% 163.42/163.15 [3209]P82(a920)
% 163.42/163.15 [3210]P82(a1)
% 163.42/163.15 [3211]P82(a99)
% 163.42/163.15 [3212]P127(a920)
% 163.42/163.15 [3213]P127(a1)
% 163.42/163.15 [3214]P127(a99)
% 163.42/163.15 [3215]P6(a916)
% 163.42/163.15 [3216]P130(a1)
% 163.42/163.15 [3217]P88(a920)
% 163.42/163.15 [3218]P88(a1)
% 163.42/163.15 [3219]P88(a99)
% 163.42/163.15 [3220]P83(a920)
% 163.42/163.15 [3221]P83(a1)
% 163.42/163.15 [3222]P83(a99)
% 163.42/163.15 [3223]P78(a1)
% 163.42/163.15 [3224]P133(a920)
% 163.42/163.15 [3225]P133(a1)
% 163.42/163.15 [3226]P133(a99)
% 163.42/163.15 [3227]P142(a1)
% 163.42/163.15 [3228]P134(a920)
% 163.42/163.15 [3229]P134(a1)
% 163.42/163.15 [3230]P134(a99)
% 163.42/163.15 [3231]P145(a920)
% 163.42/163.15 [3232]P145(a1)
% 163.42/163.15 [3233]P145(a99)
% 163.42/163.15 [3234]P89(a920)
% 163.42/163.15 [3235]P89(a1)
% 163.42/163.15 [3236]P89(a99)
% 163.42/163.15 [3237]P128(a1)
% 163.42/163.15 [3238]P129(a1)
% 163.42/163.15 [3239]P136(a920)
% 163.42/163.15 [3240]P136(a1)
% 163.42/163.15 [3241]P136(a99)
% 163.42/163.15 [3242]P138(a920)
% 163.42/163.15 [3243]P138(a1)
% 163.42/163.15 [3244]P138(a99)
% 163.42/163.15 [3245]P137(a920)
% 163.42/163.15 [3246]P137(a1)
% 163.42/163.15 [3247]P137(a99)
% 163.42/163.15 [3248]P121(a920)
% 163.42/163.15 [3249]P121(a1)
% 163.42/163.15 [3250]P121(a99)
% 163.42/163.15 [3251]P135(a920)
% 163.42/163.15 [3252]P135(a1)
% 163.42/163.15 [3253]P135(a99)
% 163.42/163.15 [3254]P131(a920)
% 163.42/163.15 [3255]P131(a1)
% 163.42/163.15 [3256]P131(a99)
% 163.42/163.15 [3257]P132(a1)
% 163.42/163.15 [3258]P143(a1)
% 163.42/163.15 [3259]P93(a1)
% 163.42/163.15 [3260]P94(a1)
% 163.42/163.15 [3261]P95(a920)
% 163.42/163.15 [3262]P95(a1)
% 163.42/163.15 [3263]P95(a99)
% 163.42/163.15 [3264]P103(a920)
% 163.42/163.15 [3265]P103(a1)
% 163.42/163.15 [3266]P103(a99)
% 163.42/163.15 [3267]P146(a920)
% 163.42/163.15 [3268]P146(a1)
% 163.42/163.15 [3269]P146(a99)
% 163.42/163.15 [3270]P87(a1)
% 163.42/163.15 [3271]P139(a1)
% 163.42/163.15 [3272]P62(a920)
% 163.42/163.15 [3273]P62(a1)
% 163.42/163.15 [3274]P62(a99)
% 163.42/163.15 [3275]P63(a1)
% 163.42/163.15 [3276]P96(a916)
% 163.42/163.15 [3277]P90(a916)
% 163.42/163.15 [3278]P90(a1)
% 163.42/163.15 [3279]P122(a1)
% 163.42/163.15 [3280]P115(a1)
% 163.42/163.15 [3281]P144(a1)
% 163.42/163.15 [3282]P75(a1)
% 163.42/163.15 [3283]P116(a920)
% 163.42/163.15 [3284]P116(a1)
% 163.42/163.15 [3285]P116(a99)
% 163.42/163.15 [3286]P147(a920)
% 163.42/163.15 [3287]P147(a1)
% 163.42/163.15 [3288]P147(a99)
% 163.42/163.15 [3289]P91(a1)
% 163.42/163.15 [3290]P117(a916)
% 163.42/163.15 [3291]P100(a916)
% 163.42/163.15 [3292]P79(a920)
% 163.42/163.15 [3293]P79(a1)
% 163.42/163.15 [3294]P79(a99)
% 163.42/163.15 [3295]P118(a920)
% 163.42/163.15 [3296]P92(a920)
% 163.42/163.15 [3297]P92(a1)
% 163.42/163.15 [3298]P92(a99)
% 163.42/163.15 [3299]P64(a916)
% 163.42/163.15 [3300]P64(a923)
% 163.42/163.15 [3301]P105(a916)
% 163.42/163.15 [3302]P105(a920)
% 163.42/163.15 [3303]P105(a917)
% 163.42/163.15 [3304]P105(a99)
% 163.42/163.15 [3305]P105(a923)
% 163.42/163.15 [3306]P105(a918)
% 163.42/163.15 [3307]P105(a322)
% 163.42/163.15 [3308]P104(a1)
% 163.42/163.15 [3309]P104(a923)
% 163.42/163.15 [3310]P123(a920)
% 163.42/163.15 [3311]P123(a1)
% 163.42/163.15 [3312]P123(a99)
% 163.42/163.15 [3313]P119(a1)
% 163.42/163.15 [3314]P98(a916)
% 163.42/163.15 [3330]P39(a920,a239)
% 163.42/163.15 [3331]P39(a920,a316)
% 163.42/163.15 [3332]P40(a920,a239)
% 163.42/163.15 [4676]~E(a97,a82)
% 163.42/163.15 [4677]~P106(a238)
% 163.42/163.15 [3122]E(f2(a1),a82)
% 163.42/163.15 [3123]E(f3(a99),a4)
% 163.42/163.15 [3124]E(f100(a99),a5)
% 163.42/163.15 [3315]E(f101(a920),f188(a920))
% 163.42/163.15 [3316]E(f189(a920),f2(a920))
% 163.42/163.15 [3317]E(f28(a25),f2(a920))
% 163.42/163.15 [3318]E(f110(a920),f233(a920))
% 163.42/163.15 [3319]E(f102(a1),f31(a1))
% 163.42/163.15 [3320]E(f83(a238),f2(a920))
% 163.42/163.15 [3321]E(f83(a187),f2(a920))
% 163.42/163.15 [3322]P7(f77(a1))
% 163.42/163.15 [3323]P7(f2(a1))
% 163.42/163.15 [3379]P39(f927(a920,a920),a32)
% 163.42/163.15 [3724]E(f318(a920,a920,a239,a239),a32)
% 163.42/163.15 [4678]~E(f77(a1),f2(a1))
% 163.42/163.15 [3324]E(f6(f2(a99)),f2(a920))
% 163.42/163.15 [3325]E(f111(f2(a920)),f2(a920))
% 163.42/163.15 [3334]E(f326(f78(a1),a82),a82)
% 163.42/163.15 [3337]E(f326(a112,f2(a920)),f77(a920))
% 163.42/163.15 [3338]E(f326(a104,f77(a1)),f77(a920))
% 163.42/163.15 [3339]E(f326(a5,f77(a920)),f77(a99))
% 163.42/163.15 [3341]E(f326(a5,f2(a920)),f2(a99))
% 163.42/163.15 [3343]E(f326(f103(a1),a82),f2(a1))
% 163.42/163.15 [3344]E(f326(f103(a99),a82),f2(a99))
% 163.42/163.15 [3345]E(f326(a104,f2(a1)),f2(a920))
% 163.42/163.15 [3346]E(f326(f190(a916),a238),f2(a920))
% 163.42/163.15 [3347]E(f326(f190(a916),a187),f2(a920))
% 163.42/163.15 [3348]E(f326(f190(a917),a25),f2(a920))
% 163.42/163.15 [3349]E(f326(f103(a920),a82),f2(a920))
% 163.42/163.15 [3355]E(f326(f78(a1),f77(a1)),a97)
% 163.42/163.15 [3363]E(f326(f190(a99),f2(a99)),f2(a920))
% 163.42/163.15 [3364]E(f326(f100(a1),f77(a920)),f77(a1))
% 163.42/163.15 [3365]E(f326(f100(a1),f2(a920)),f2(a1))
% 163.42/163.15 [3366]E(f326(f78(a1),f2(a1)),f2(a1))
% 163.42/163.15 [3376]E(f326(a104,f77(a1)),f326(a112,f2(a920)))
% 163.42/163.15 [3377]E(f317(f927(a920,a920),a32),a33)
% 163.42/163.15 [3378]E(f319(f927(a920,a920),a32),a68)
% 163.42/163.15 [3405]E(f326(f281(a920),f2(a920)),f189(f928(a920,a916)))
% 163.42/163.15 [3406]E(f326(f282(a920),f2(a920)),f241(f928(a920,a916)))
% 163.42/163.15 [3414]P42(f189(f928(a1,a916)))
% 163.42/163.15 [3448]E(f326(f326(f3(a99),f2(a99)),f77(a99)),f2(a99))
% 163.42/163.15 [3523]P106(f326(f326(f235(a1),a97),f2(a1)))
% 163.42/163.15 [3547]P106(f326(f326(f234(a1),f2(a1)),f77(a1)))
% 163.42/163.15 [3549]P106(f326(f326(f235(a1),f2(a1)),f77(a1)))
% 163.42/163.15 [3755]E(f326(f326(f288(a920,a920,a920),a316),f306(a920,a316)),a239)
% 163.42/163.15 [3794]P43(a1,a920,a104,f326(f234(a1),f2(a1)))
% 163.42/163.15 [3798]E(f326(f326(f38(a920,f928(a920,a916)),f241(f928(a920,a916))),f303(a920)),f189(f928(a920,a916)))
% 163.42/163.15 [3799]E(f326(f326(f39(a920,f928(a920,a916)),f241(f928(a920,a916))),f281(a920)),f241(f928(a920,a916)))
% 163.42/163.15 [3800]E(f326(f326(f39(a920,f928(a920,a916)),f241(f928(a920,a916))),f300(a920)),f241(f928(a920,a916)))
% 163.42/163.15 [3801]E(f326(f326(f39(a920,f928(a920,a916)),f241(f928(a920,a916))),f282(a920)),f241(f928(a920,a916)))
% 163.42/163.15 [3817]P26(a920,a1,f100(a1),f241(f928(a920,a916)))
% 163.42/163.15 [3831]P43(a920,a1,f100(a1),f326(f18(a916,a920),a187))
% 163.42/163.15 [3968]E(f326(f72(a920,a99,a1,a5),a104),f103(a99))
% 163.42/163.15 [4193]P58(a99,a920,a22,a5,f241(f928(a920,a916)))
% 163.42/163.15 [4199]P58(a1,f928(f927(a920,a920),a916),a106,a88,a98)
% 163.42/163.15 [4454]E(f257(a1,a1,a1,a1,f31(a1),f78(a1)),a50)
% 163.42/163.15 [4693]~E(f326(f103(a1),a97),f326(f103(a1),a82))
% 163.42/163.15 [4694]~P106(f326(a194,f77(a1)))
% 163.42/163.15 [4695]~P106(f326(a194,f2(a1)))
% 163.42/163.15 [4732]~P106(f326(f326(f235(a1),a82),f2(a1)))
% 163.42/163.15 [3397]E(f326(f326(f3(a1),a97),a97),a82)
% 163.42/163.15 [3412]E(f326(f100(a1),f326(a112,f2(a920))),f77(a1))
% 163.42/163.15 [3477]E(f326(f34(a923),f241(f928(a923,a916))),f77(a920))
% 163.42/163.15 [3497]P106(f326(a194,f326(f103(a1),a97)))
% 163.42/163.15 [3499]P106(f326(f326(f234(a1),a97),a82))
% 163.42/163.15 [3501]P106(f326(f326(f235(a1),a97),a82))
% 163.42/163.15 [3558]E(f326(f326(f308(a920),f2(a920)),f189(f928(a920,a916))),f326(f300(a920),f2(a920)))
% 163.42/163.15 [3613]P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),a82)))
% 163.42/163.15 [3625]E(f326(f309(a920,a920,a112),f241(f928(a920,a916))),f326(f303(a920),f2(a920)))
% 163.42/163.15 [3662]P9(f927(a920,a920),f241(f928(f927(a920,a920),a916)),a108)
% 163.42/163.15 [3975]E(f326(f72(a920,a1,a99,f100(a1)),a22),a24)
% 163.42/163.15 [4036]P39(a920,f326(f261(f927(a920,a920)),f326(f256(a920,a920,a916),f235(a920))))
% 163.42/163.15 [4723]~P106(f326(a194,f326(f103(a1),a82)))
% 163.42/163.15 [4724]~P106(f326(f326(f234(a1),a82),a97))
% 163.42/163.15 [4725]~P106(f326(f326(f235(a1),a82),a82))
% 163.42/163.15 [4726]~P106(f326(f326(f235(a1),a82),a97))
% 163.42/163.15 [4727]~P106(f326(f326(f235(a1),a97),a97))
% 163.42/163.15 [4738]~P106(f326(f60(a920),f241(f928(a920,a916))))
% 163.42/163.15 [4739]~P106(f326(f60(a1),f241(f928(a1,a916))))
% 163.42/163.15 [4151]P25(a915,a929,f326(f326(f308(f919(a915)),f326(f326(f326(f90(a915),a930),a931),a932)),f189(f928(f919(a915),a916))))
% 163.42/163.15 [4152]P25(a915,a929,f326(f326(f308(f919(a915)),f326(f326(f326(f90(a915),a933),a931),a934)),f189(f928(f919(a915),a916))))
% 163.42/163.15 [4621]E(f326(f256(a1,a1,a916),f326(f326(f10(f928(a1,a916),f928(a1,a916),a1),f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f235(a1),f2(a1))))),f326(f326(f9(a1,a1,f928(a1,a916)),f326(f326(f10(f928(a1,f928(a1,a916)),f928(a1,f928(a1,a916)),a1),f9(a1,a1,a916)),f326(f326(f10(f928(a1,a1),f928(a1,f928(a1,a916)),a1),f326(f10(a1,f928(a1,a916),a1),a323)),a218))),f77(a1)))),a214)
% 163.42/163.15 [3699]E(f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97),f326(f78(a1),a97))
% 163.42/163.15 [3737]E(f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97),f326(f326(f3(a1),a82),a97))
% 163.42/163.15 [3901]E(f326(f326(f59(f927(a920,a920)),f241(f928(f927(a920,a920),a916))),a108),a98)
% 163.42/163.15 [3930]E(f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(a1))
% 163.42/163.15 [3931]E(f326(f103(a99),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(a99))
% 163.42/163.15 [3932]E(f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(a920))
% 163.42/163.15 [3936]E(f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(a112,f2(a920)))
% 163.42/163.15 [4321]E(f326(f326(f110(f928(f927(f927(a920,a920),f927(a920,a920)),a916)),a32),f306(f927(a920,a920),f189(f928(f927(f927(a920,a920),f927(a920,a920)),a916)))),a70)
% 163.42/163.15 [4387]E(f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),f77(a920)),f2(a920))),f189(f928(f927(a920,a920),a916))))),f77(a1))
% 163.42/163.15 [4388]E(f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),f2(a920)),f2(a920))),f189(f928(f927(a920,a920),a916))))),f2(a1))
% 163.42/163.15 [4401]E(f326(f261(f927(a920,a920)),f326(f256(a920,a920,a916),f326(f326(f10(a920,f928(a920,a916),a920),f326(f9(a920,a920,a916),a323)),a112))),a316)
% 163.42/163.15 [4373]E(f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),f326(a112,f326(a112,f2(a920))))
% 163.42/163.15 [4376]E(f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),f326(f326(f79(a920),f77(a920)),f77(a920)))
% 163.42/163.15 [4377]E(f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),f326(f34(a916),f241(f928(a916,a916))))
% 163.42/163.15 [4441]P7(f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 163.42/163.15 [4510]P28(f928(f927(a920,a920),a916),f326(f326(f251(f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916),f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916)),a33),a69))
% 163.42/163.15 [4511]P28(f928(f927(a920,a920),a916),f326(f326(f251(f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916),f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916)),a68),a71))
% 163.42/163.15 [4552]E(f326(f326(f110(f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916)),f319(f927(a920,a920),a70)),f326(f326(f308(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f251(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),f189(f928(f927(a920,a920),a916))),f189(f928(f927(a920,a920),a916)))),f189(f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916)))),a71)
% 163.42/163.15 [4553]E(f326(f326(f110(f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916)),f317(f927(a920,a920),a70)),f326(f326(f308(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f251(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),f189(f928(f927(a920,a920),a916))),f189(f928(f927(a920,a920),a916)))),f189(f928(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a916)))),a69)
% 163.42/163.15 [4443]E(f326(a104,f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a112,f326(a112,f2(a920))))
% 163.42/163.15 [4488]E(f326(f100(a1),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 163.42/163.15 [4522]P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 163.42/163.15 [4523]E(f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97)),f326(a112,f326(a112,f326(a112,f2(a920)))))
% 163.42/163.15 [4567]P7(f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97)))
% 163.42/163.15 [4593]E(f326(f100(a1),f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97)))
% 163.42/163.15 [4606]P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))))
% 163.42/163.15 [3333]P8(x33331,a323)
% 163.42/163.15 [3725]P26(a920,a920,a112,x37251)
% 163.42/163.15 [3326]P105(f919(x33261))
% 163.42/163.15 [3327]P105(f924(x33271))
% 163.42/163.15 [3328]P105(f921(x33281))
% 163.42/163.15 [3329]P105(f922(x33291))
% 163.42/163.15 [3350]P39(a1,f105(x33501))
% 163.42/163.15 [3351]P39(a1,f107(x33511))
% 163.42/163.15 [3401]P39(f928(x34011,a916),f313(x34011))
% 163.42/163.15 [3402]P40(f928(x34021,a916),f313(x34021))
% 163.42/163.15 [3426]E(f242(x34261,x34261,a323),a323)
% 163.42/163.15 [3441]E(f44(a1,x34411,x34411),f2(a1))
% 163.42/163.15 [3494]P15(x34941,f928(x34941,a916),f308(x34941))
% 163.42/163.15 [4680]~E(f326(a112,x46801),x46801)
% 163.42/163.15 [4690]~E(f326(a112,x46901),f2(a920))
% 163.42/163.15 [3335]E(f326(f190(a920),x33351),x33351)
% 163.42/163.15 [3336]E(f326(f103(a1),x33361),x33361)
% 163.42/163.15 [3352]E(f326(a88,f327(x33521)),x33521)
% 163.42/163.15 [3353]E(f326(a5,f579(x33531)),x33531)
% 163.42/163.15 [3354]E(f240(x33541,f2(a99)),f2(a99))
% 163.42/163.15 [3367]E(f114(x33671,f113(x33671)),f113(x33671))
% 163.42/163.15 [3368]E(f152(x33681,f113(x33681)),f113(x33681))
% 163.42/163.15 [3373]E(f326(f167(x33731),f113(x33731)),f113(x33731))
% 163.42/163.15 [3374]E(f326(f171(x33741),f113(x33741)),f113(x33741))
% 163.42/163.15 [3375]E(f326(f168(x33751),f113(x33751)),f113(x33751))
% 163.42/163.15 [3380]E(f326(f103(a1),x33801),f326(f102(a1),x33801))
% 163.42/163.15 [3381]E(f326(a88,f326(a106,x33811)),x33811)
% 163.42/163.15 [3383]E(f326(a5,f326(a22,x33831)),x33831)
% 163.42/163.15 [3384]E(f326(a22,f326(a5,x33841)),x33841)
% 163.42/163.15 [3386]P7(f326(f100(a1),x33861))
% 163.42/163.15 [3395]E(f326(f190(f921(x33951)),f113(x33951)),f2(a920))
% 163.42/163.15 [3396]E(f326(f190(f922(x33961)),f119(x33961)),f2(a920))
% 163.42/163.15 [3417]E(f326(f326(f3(a920),x34171),f2(a920)),x34171)
% 163.42/163.15 [3418]E(f326(f326(f80(a920),x34181),f77(a920)),x34181)
% 163.42/163.15 [3419]E(f326(f326(f80(a1),x34191),f77(a1)),x34191)
% 163.42/163.15 [3420]E(f326(f326(f79(a920),x34201),f2(a920)),x34201)
% 163.42/163.15 [3421]E(f326(f326(f79(a1),x34211),f2(a1)),x34211)
% 163.42/163.15 [3422]E(f326(f326(f233(a920),x34221),f2(a920)),x34221)
% 163.42/163.15 [3423]E(f326(f326(f80(a920),x34231),f2(a920)),f2(a920))
% 163.42/163.15 [3424]E(f326(f326(f188(a920),x34241),f2(a920)),f2(a920))
% 163.42/163.15 [3425]E(f326(f326(f35(a1),x34251),f2(a1)),f2(a1))
% 163.42/163.15 [3432]E(f326(f172(x34321),f113(x34321)),f189(f928(x34321,a916)))
% 163.42/163.15 [3436]P106(f326(f137(x34361),f113(x34361)))
% 163.42/163.15 [3442]E(f326(f154(x34421,x34421),f7(x34421)),f31(f921(x34421)))
% 163.42/163.15 [3443]E(f326(f154(x34431,x34431),f31(x34431)),f31(f921(x34431)))
% 163.42/163.15 [3444]E(f44(a1,x34441,f2(a1)),x34441)
% 163.42/163.15 [3445]E(f326(f234(a920),f326(a112,x34451)),f326(f235(a920),x34451))
% 163.42/163.15 [3446]E(f326(f281(a920),f326(a112,x34461)),f326(f300(a920),x34461))
% 163.42/163.15 [3447]E(f326(f282(a920),f326(a112,x34471)),f326(f303(a920),x34471))
% 163.42/163.15 [3449]E(f44(a1,f2(a1),x34491),f2(a1))
% 163.42/163.15 [3462]E(f326(f326(f79(a920),x34621),f77(a920)),f326(a112,x34621))
% 163.42/163.15 [3471]E(f326(f301(a920,x34711),f2(a920)),f189(f928(a920,a916)))
% 163.42/163.15 [3483]E(f302(a920,f2(a920),x34831),f326(f300(a920),x34831))
% 163.42/163.15 [3526]E(f326(f326(f3(a920),f326(a112,x35261)),f77(a920)),x35261)
% 163.42/163.15 [3538]E(f46(f2(a1),x35381),f326(f326(f251(a1,a1),f2(a1)),f2(a1)))
% 163.42/163.15 [3588]P106(f326(f326(f235(a920),x35881),f326(a112,x35881)))
% 163.42/163.15 [3600]P106(f326(f326(f235(a920),f2(a920)),f326(a112,x36001)))
% 163.42/163.15 [3830]E(f91(x38301,x38301,f241(f928(x38301,a916)),f31(x38301)),f31(x38301))
% 163.42/163.15 [3888]E(f326(f326(f3(a99),f326(a5,f326(a112,f326(a22,x38881)))),f77(a99)),x38881)
% 163.42/163.15 [3959]P106(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x39591))),f2(a1)))
% 163.42/163.15 [4106]P106(f326(f326(f235(a1),f326(f78(a1),f326(f100(a1),f326(a112,x41061)))),f2(a1)))
% 163.42/163.15 [4700]~E(f241(f928(x47001,a916)),f189(f928(x47001,a916)))
% 163.42/163.15 [4735]~P106(f326(f326(f235(a920),x47351),f2(a920)))
% 163.42/163.15 [4748]~P106(f326(f326(f235(a1),f326(f100(a1),x47481)),f2(a1)))
% 163.42/163.15 [3385]E(f120(x33851,f119(f922(x33851))),f119(x33851))
% 163.42/163.15 [3400]E(f179(x34001,f113(f921(x34001))),f113(f921(x34001)))
% 163.42/163.15 [3403]E(f326(f326(f80(a1),a82),x34031),a82)
% 163.42/163.15 [3404]E(f326(f326(f79(a1),a82),x34041),x34041)
% 163.42/163.15 [3407]E(f326(a104,f326(f100(a1),x34071)),x34071)
% 163.42/163.15 [3408]E(f326(f326(f3(a1),x34081),a82),x34081)
% 163.42/163.15 [3409]E(f326(f326(f79(a1),x34091),a82),x34091)
% 163.42/163.15 [3411]E(f326(f326(f3(a920),x34111),x34111),f2(a920))
% 163.42/163.15 [3415]E(f326(f34(a920),f326(f281(a920),x34151)),x34151)
% 163.42/163.15 [3416]E(f326(f78(a1),f326(f78(a1),x34161)),x34161)
% 163.42/163.15 [3427]E(f326(f326(f80(a920),f77(a920)),x34271),x34271)
% 163.42/163.15 [3428]E(f326(f326(f80(a1),f77(a1)),x34281),x34281)
% 163.42/163.15 [3429]E(f326(f326(f79(a920),f2(a920)),x34291),x34291)
% 163.42/163.15 [3430]E(f326(f326(f79(a1),f2(a1)),x34301),x34301)
% 163.42/163.15 [3431]E(f326(f326(f233(a920),f2(a920)),x34311),x34311)
% 163.42/163.15 [3437]E(f326(f326(f3(a920),f2(a920)),x34371),f2(a920))
% 163.42/163.15 [3438]E(f326(f326(f80(a920),f2(a920)),x34381),f2(a920))
% 163.42/163.15 [3439]E(f326(f326(f188(a920),f2(a920)),x34391),f2(a920))
% 163.42/163.15 [3440]E(f326(f326(f35(a1),f2(a1)),x34401),f2(a1))
% 163.42/163.15 [3450]E(f128(x34501,f326(f78(a1),x34501)),f132(a1,x34501))
% 163.42/163.15 [3455]E(f326(f301(a920,f2(a920)),x34551),f326(f281(a920),x34551))
% 163.42/163.15 [3456]E(f326(f326(f80(a1),a97),x34561),f326(f78(a1),x34561))
% 163.42/163.15 [3464]E(f326(a104,f326(f103(a1),x34641)),f326(f103(a920),x34641))
% 163.42/163.15 [3465]E(f326(a22,f326(f103(a99),x34651)),f326(f103(a920),x34651))
% 163.42/163.15 [3466]E(f326(f34(a920),f326(f300(a920),x34661)),f326(a112,x34661))
% 163.42/163.15 [3475]E(f326(f326(f79(a920),f77(a920)),x34751),f326(a112,x34751))
% 163.42/163.15 [3479]E(f326(f75(a1),f326(f100(a1),x34791)),f326(f100(a1),x34791))
% 163.42/163.15 [3480]E(f326(f102(a1),f326(f100(a1),x34801)),f326(f100(a1),x34801))
% 163.42/163.15 [3484]E(f326(f34(x34841),f189(f928(x34841,a916))),f2(a920))
% 163.42/163.15 [3486]E(f326(f326(f35(a920),x34861),f326(a112,f2(a920))),x34861)
% 163.42/163.15 [3495]E(f44(a920,x34951,f326(a112,f2(a920))),f2(a920))
% 163.42/163.15 [3496]E(f44(a1,x34961,f326(f103(a1),a97)),f2(a1))
% 163.42/163.15 [3510]E(f326(f326(f35(a1),x35101),f326(f103(a1),a97)),f326(f78(a1),x35101))
% 163.42/163.15 [3514]E(f139(a920,f326(f301(a920,x35141),f2(a920))),f113(a920))
% 163.42/163.15 [3515]E(f326(f326(f79(a1),x35151),f77(a1)),f326(f326(f3(a1),x35151),a97))
% 163.42/163.15 [3516]E(f326(f326(f3(a1),x35161),f77(a1)),f326(f326(f79(a1),x35161),a97))
% 163.42/163.15 [3520]P106(f326(f326(f234(a920),x35201),x35201))
% 163.42/163.15 [3521]P106(f326(f326(f234(a1),x35211),x35211))
% 163.42/163.15 [3522]P106(f326(f326(f286(a920),x35221),x35221))
% 163.42/163.15 [3527]E(f326(f78(a1),f326(f103(a1),x35271)),f326(f103(a1),f326(f78(a1),x35271)))
% 163.42/163.15 [3528]P106(f326(f60(a920),f326(f281(a920),x35281)))
% 163.42/163.15 [3529]P106(f326(f60(a920),f326(f300(a920),x35291)))
% 163.42/163.15 [3536]E(f161(x35361,f241(f928(x35361,a916))),f241(f928(f921(x35361),a916)))
% 163.42/163.15 [3541]P106(f326(f326(f234(a920),f2(a920)),x35411))
% 163.42/163.15 [3551]E(f326(f326(f79(a920),f111(x35511)),f326(a112,f2(a920))),f111(f326(a112,x35511)))
% 163.42/163.15 [3552]E(f326(f261(x35521),f326(f18(a916,x35521),a238)),f189(f928(x35521,a916)))
% 163.42/163.15 [3553]E(f326(f261(x35531),f326(f18(a916,x35531),a187)),f241(f928(x35531,a916)))
% 163.42/163.15 [3557]E(f326(f326(f308(a920),x35571),f326(f281(a920),x35571)),f326(f281(a920),f326(a112,x35571)))
% 163.42/163.15 [3569]E(f326(f326(f79(a1),f77(a1)),f326(f100(a1),x35691)),f326(f100(a1),f326(a112,x35691)))
% 163.42/163.15 [3571]E(f326(f326(f151(f921(x35711)),f113(x35711)),f113(f921(x35711))),f53(x35711,f113(x35711)))
% 163.42/163.15 [3591]E(f189(f928(f927(x35911,x35911),a916)),f262(x35911,f189(f928(x35911,a916))))
% 163.42/163.15 [3592]E(f326(f307(x35921),f241(f928(x35921,a916))),f241(f928(f928(x35921,a916),a916)))
% 163.42/163.15 [3593]E(f326(f78(f928(x35931,a916)),f189(f928(x35931,a916))),f241(f928(x35931,a916)))
% 163.42/163.15 [3594]E(f326(f78(f928(x35941,a916)),f241(f928(x35941,a916))),f189(f928(x35941,a916)))
% 163.42/163.15 [3596]P106(f326(f60(x35961),f189(f928(x35961,a916))))
% 163.42/163.15 [3598]E(f326(f301(a920,x35981),f326(a112,x35981)),f326(f326(f308(a920),x35981),f189(f928(a920,a916))))
% 163.42/163.15 [3599]E(f84(f927(a920,a920),f47(x35991,f2(a920))),f326(f326(f251(a920,a920),f2(a920)),x35991))
% 163.42/163.15 [3612]E(f326(f326(f308(a920),f326(a112,x36121)),f326(f300(a920),x36121)),f326(f300(a920),f326(a112,x36121)))
% 163.42/163.15 [3616]P39(x36161,f189(f928(f927(x36161,x36161),a916)))
% 163.42/163.15 [3617]P41(x36171,f189(f928(f927(x36171,x36171),a916)))
% 163.42/163.15 [3620]P106(f326(f326(f234(a1),f2(a1)),f326(f100(a1),x36201)))
% 163.42/163.15 [3627]E(f326(f326(f79(a920),f326(f190(a920),x36271)),f326(a112,f2(a920))),f326(f190(a920),f326(a112,x36271)))
% 163.42/163.15 [3732]P42(f326(f309(a920,a1,f100(a1)),x37321))
% 163.42/163.15 [3770]P54(x37701,f189(f928(x37701,a916)),f189(f928(f927(x37701,x37701),a916)))
% 163.42/163.15 [3790]E(f326(f326(f251(a1,a1),f326(f103(a1),a97)),f326(f326(f3(a1),x37901),f77(a1))),f49(f326(f103(a1),a97),x37901))
% 163.42/163.15 [3843]P61(x38431,f326(f18(f928(x38431,a916),x38431),f326(f18(a916,x38431),a238)))
% 163.42/163.15 [3855]E(f289(a920,f286(a920),x38551,x38551),f326(f326(f308(a920),x38551),f189(f928(a920,a916))))
% 163.42/163.15 [4048]P106(f326(f326(f328(f928(f927(a920,a920),a916)),f327(x40481)),a98))
% 163.42/163.15 [4074]P106(f326(f326(f328(f928(f927(a920,a920),a916)),f326(a106,x40741)),a98))
% 163.42/163.15 [4208]P26(x42081,f928(x42081,a916),f326(f326(f9(x42081,f928(x42081,a916),f928(x42081,a916)),f308(x42081)),f189(f928(x42081,a916))),f241(f928(x42081,a916)))
% 163.42/163.15 [4697]~E(f326(f326(f79(a1),x46971),x46971),a97)
% 163.42/163.15 [4722]~E(f326(a5,f326(a112,f326(a22,x47221))),f2(a99))
% 163.42/163.15 [4728]~P106(f326(a194,f326(f100(a1),x47281)))
% 163.42/163.15 [4731]~P106(f326(f326(f235(a920),x47311),x47311))
% 163.42/163.15 [4741]~P106(f326(f326(f234(a920),f326(a112,x47411)),x47411))
% 163.42/163.15 [3543]E(f326(a104,f326(f78(a1),f326(f100(a1),x35431))),f2(a920))
% 163.42/163.15 [3546]E(f326(f326(f79(a1),f326(f78(a1),x35461)),x35461),f2(a1))
% 163.42/163.15 [3550]E(f326(f34(a1),f326(f301(a1,f2(a1)),x35501)),f326(a104,x35501))
% 163.42/163.15 [3562]E(f326(f326(f243(a920),f326(a112,f2(a920))),x35621),f326(a112,f2(a920)))
% 163.42/163.15 [3659]E(f326(f280(x36591),f189(f928(f927(x36591,x36591),a916))),f189(f928(x36591,a916)))
% 163.42/163.15 [3667]E(f36(f928(x36671,a916),f189(f928(f928(x36671,a916),a916))),f189(f928(x36671,a916)))
% 163.42/163.15 [3668]E(f36(f928(x36681,a916),f241(f928(f928(x36681,a916),a916))),f241(f928(x36681,a916)))
% 163.42/163.15 [3669]E(f37(f928(x36691,a916),f189(f928(f928(x36691,a916),a916))),f241(f928(x36691,a916)))
% 163.42/163.15 [3670]E(f37(f928(x36701,a916),f241(f928(f928(x36701,a916),a916))),f189(f928(x36701,a916)))
% 163.42/163.15 [3674]P106(f326(f326(f286(a920),f326(a112,f2(a920))),x36741))
% 163.42/163.15 [3715]E(f326(f326(f308(f921(x37151)),f113(x37151)),f189(f928(f921(x37151),a916))),f161(x37151,f189(f928(x37151,a916))))
% 163.42/163.15 [3716]E(f326(f326(f308(f921(x37161)),f113(x37161)),f189(f928(f921(x37161),a916))),f162(x37161,f113(f928(x37161,a916))))
% 163.42/163.15 [3754]E(f326(f326(f79(a920),f6(x37541)),f326(a112,f2(a920))),f6(f326(a5,f326(a112,f326(a22,x37541)))))
% 163.42/163.15 [3781]E(f326(f34(a1),f326(f309(a920,a1,f100(a1)),x37811)),f326(f34(a920),x37811))
% 163.42/163.15 [3782]P106(f326(f326(f234(a920),x37821),f326(f326(f80(a920),x37821),x37821)))
% 163.42/163.15 [3821]E(f326(f309(a1,a920,a104),f302(a1,f2(a1),f326(f100(a1),x38211))),f326(f300(a920),x38211))
% 163.42/163.15 [3838]E(f326(f326(f35(a920),f326(a112,f2(a920))),f326(f103(a920),x38381)),f326(a104,f326(f326(f35(a1),f77(a1)),f326(f103(a1),x38381))))
% 163.42/163.15 [3840]E(f326(f172(a920),f139(a920,f326(f301(a920,f2(a920)),f326(a112,x38401)))),f326(f300(a920),x38401))
% 163.42/163.15 [3841]E(f326(f326(f79(a920),f326(f190(a99),x38411)),f326(a112,f2(a920))),f326(f190(a99),f326(a5,f326(a112,f326(a22,x38411)))))
% 163.42/163.15 [3861]P41(x38611,f306(x38611,f189(f928(f927(x38611,x38611),a916))))
% 163.42/163.15 [3862]P53(x38621,f306(x38621,f189(f928(f927(x38621,x38621),a916))))
% 163.42/163.15 [3863]E(f326(f309(a1,a920,a104),f326(f309(a920,a1,f100(a1)),x38631)),x38631)
% 163.42/163.15 [3894]E(f326(f326(f308(a920),f2(a920)),f326(f309(a920,a920,a112),f326(f281(a920),x38941))),f326(f281(a920),f326(a112,x38941)))
% 163.42/163.15 [3900]P56(x39001,x39001,f306(x39001,f189(f928(f927(x39001,x39001),a916))))
% 163.42/163.15 [3906]P106(f326(a194,f326(f78(a1),f326(f100(a1),f326(a112,x39061)))))
% 163.42/163.15 [3916]E(f326(f326(f3(f928(a920,a916)),f326(f282(a920),x39161)),f326(f326(f308(a920),x39161),f189(f928(a920,a916)))),f326(f282(a920),f326(a112,x39161)))
% 163.42/163.15 [3933]E(f326(f326(f79(a1),f326(f326(f3(a1),a82),x39331)),f326(f326(f3(a1),a82),x39331)),f326(f326(f3(a1),a82),f326(f326(f79(a1),x39331),x39331)))
% 163.42/163.15 [3948]E(f326(f326(f308(f928(x39481,a916)),f189(f928(x39481,a916))),f189(f928(f928(x39481,a916),a916))),f326(f307(x39481),f189(f928(x39481,a916))))
% 163.42/163.15 [3976]E(f326(f326(f3(f928(a920,a916)),f326(f303(a920),x39761)),f326(f326(f308(a920),f326(a112,x39761)),f189(f928(a920,a916)))),f326(f303(a920),f326(a112,x39761)))
% 163.42/163.15 [4086]E(f326(f103(a920),f326(f326(f79(a1),x40861),x40861)),f326(f326(f85(a920,a920),f326(f103(a920),x40861)),f326(f326(f20(a920,a920,a920),f79(a920)),f7(a920))))
% 163.42/163.15 [4463]P15(x44631,f928(x44631,a916),f326(f326(f10(f928(x44631,a916),f928(f928(x44631,a916),f928(x44631,a916)),x44631),f326(f9(f928(x44631,a916),f928(x44631,a916),f928(x44631,a916)),f3(f928(x44631,a916)))),f326(f326(f9(x44631,f928(x44631,a916),f928(x44631,a916)),f308(x44631)),f189(f928(x44631,a916)))))
% 163.42/163.15 [4551]E(f326(f261(f927(a1,a1)),f326(f256(a1,a1,a916),f326(f326(f10(f928(a1,a916),f928(a1,a916),a1),f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f234(a1),x45511)))),f235(a1)))),f107(x45511))
% 163.42/163.15 [4584]E(f326(f261(f927(a1,a1)),f326(f256(a1,a1,a916),f326(f326(f20(a1,f928(a1,a916),f928(a1,a916)),f326(f326(f10(f928(a916,a916),f928(f928(a1,a916),f928(a1,a916)),a1),f10(a916,a916,a1)),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f234(a1),x45841)))),f235(a1)))),f105(x45841))
% 163.42/163.15 [4637]E(f326(f261(f927(f928(x46371,a916),f928(x46371,a916))),f326(f256(f928(x46371,a916),f928(x46371,a916),a916),f326(f326(f9(f928(x46371,a916),f928(f928(x46371,a916),a916),f928(f928(x46371,a916),a916)),f326(f326(f10(f928(f928(x46371,a916),f928(a916,a916)),f928(f928(f928(x46371,a916),a916),f928(f928(x46371,a916),a916)),f928(x46371,a916)),f20(f928(x46371,a916),a916,a916)),f326(f326(f10(f928(f928(x46371,a916),a916),f928(f928(x46371,a916),f928(a916,a916)),f928(x46371,a916)),f326(f10(a916,f928(a916,a916),f928(x46371,a916)),a324)),f235(f928(x46371,a916))))),f60(x46371)))),f313(x46371))
% 163.42/163.15 [4745]~P106(f326(f60(f921(x47451)),f241(f928(f921(x47451),a916))))
% 163.42/163.15 [4757]~P106(f326(f326(f234(a1),f2(a1)),f326(f78(a1),f326(f100(a1),f326(a112,x47571)))))
% 163.42/163.15 [3694]E(f326(f326(f3(a1),f326(f326(f79(a1),x36941),a97)),a97),x36941)
% 163.42/163.15 [3708]E(f326(f172(a920),f139(a920,f326(f301(a920,f2(a920)),x37081))),f326(f281(a920),x37081))
% 163.42/163.15 [3955]E(f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x39551)),x39551),f326(f326(f3(a1),f326(f326(f79(a1),x39551),x39551)),a97))
% 163.42/163.15 [4003]E(f326(f285(x40031,x40031),f306(x40031,f189(f928(f927(x40031,x40031),a916)))),f306(x40031,f189(f928(f927(x40031,x40031),a916))))
% 163.42/163.15 [4051]P106(f326(f326(f234(a920),x40511),f326(f326(f80(a920),x40511),f326(f326(f80(a920),x40511),x40511))))
% 163.42/163.15 [4325]P106(f326(f60(a920),f326(f261(a920),f326(f326(f9(a920,a920,a916),f234(a920)),x43251))))
% 163.42/163.15 [4326]P106(f326(f60(a920),f326(f261(a920),f326(f326(f9(a920,a920,a916),f235(a920)),x43261))))
% 163.42/163.15 [4600]E(f326(f261(f927(x46001,x46001)),f326(f326(f10(f928(x46001,a916),a916,f927(x46001,x46001)),f86(x46001)),f326(f326(f9(f927(x46001,x46001),f928(x46001,f927(x46001,x46001)),f928(x46001,a916)),f326(f326(f10(f928(f927(x46001,x46001),a916),f928(f928(x46001,f927(x46001,x46001)),f928(x46001,a916)),f927(x46001,x46001)),f10(f927(x46001,x46001),a916,x46001)),a323)),f326(f326(f20(x46001,x46001,f927(x46001,x46001)),f251(x46001,x46001)),f7(x46001))))),f306(x46001,f189(f928(f927(x46001,x46001),a916))))
% 163.42/163.15 [4747]~E(f326(f326(f3(a1),f326(f326(f79(a1),x47471),x47471)),a97),a82)
% 163.42/163.15 [4749]~E(f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x47491)),x47491),f2(a1))
% 163.42/163.15 [4097]E(f326(f326(f79(a1),f326(f326(f3(a1),a97),x40971)),f326(f326(f3(a1),a97),x40971)),f326(f326(f3(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x40971),x40971)),a97)))
% 163.42/163.15 [4216]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),a97),x42161)),f326(f326(f3(a1),a97),x42161))),a97),f326(f326(f3(a1),a97),f326(f326(f79(a1),x42161),x42161)))
% 163.42/163.15 [4248]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),x42481),a97)),f326(f326(f79(a1),x42481),a97))),a97),f326(f326(f79(a1),f326(f326(f79(a1),x42481),x42481)),a97))
% 163.42/163.15 [4286]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),a97),x42861)),f326(f326(f3(a1),a97),x42861))),a97),f326(f326(f3(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x42861),x42861)),a97)))
% 163.42/163.15 [4383]E(f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x43831),f2(a920))),f189(f928(f927(a920,a920),a916))))),f326(f100(a1),x43831))
% 163.42/163.15 [4393]E(f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),f331(x43931)),f405(x43931))),f189(f928(f927(a920,a920),a916))))),x43931)
% 163.42/163.15 [4427]E(f326(f261(a1),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f234(a1),f2(a1)))),x44271)),f326(f309(a920,a1,f100(a1)),f326(f261(a920),f326(f326(f10(a1,a916,a920),x44271),f100(a1)))))
% 163.42/163.15 [4471]P42(f326(f261(a1),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f234(a1),f2(a1)))),x44711)))
% 163.42/163.15 [4491]P106(f326(f326(f328(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f251(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x44911),f189(f928(f927(a920,a920),a916)))),a71))
% 163.42/163.15 [4496]E(f326(f309(a1,a920,a104),f326(f261(a1),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f234(a1),f2(a1)))),f326(f326(f10(a920,a916,a1),x44961),a104)))),f326(f261(a920),x44961))
% 163.42/163.15 [4652]E(f311(a920,f326(f326(f39(f927(a920,a920),f928(a920,a916)),f326(a106,x46521)),f326(f256(a920,a920,f928(a920,a916)),f326(f326(f9(a920,f928(a920,a916),f928(a920,f928(a920,a916))),f326(f326(f10(f928(a920,f928(f928(a920,a916),f928(a920,a916))),f928(f928(a920,a916),f928(a920,f928(a920,a916))),a920),f9(a920,f928(a920,a916),f928(a920,a916))),f326(f326(f10(f928(a920,a920),f928(a920,f928(f928(a920,a916),f928(a920,a916))),a920),f326(f10(a920,f928(f928(a920,a916),f928(a920,a916)),a920),f308(a920))),f3(a920)))),f189(f928(a920,a916)))))),f326(a104,x46521))
% 163.42/163.15 [4142]E(f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x41421),x41421)),a97)),a97),f326(f326(f79(a1),x41421),x41421))
% 163.42/163.15 [4194]E(f326(f326(f3(a1),f326(f326(f3(a1),f326(f326(f79(a1),x41941),x41941)),a97)),a97),f326(f326(f79(a1),f326(f326(f3(a1),x41941),a97)),f326(f326(f3(a1),x41941),a97)))
% 163.42/163.15 [4399]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),f326(f78(a1),x43991)),a97)),f326(f326(f79(a1),f326(f78(a1),x43991)),a97))),a97),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43991),x43991)),a97)))
% 163.42/163.15 [4444]E(f326(f326(f79(a920),x44441),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a112,f326(a112,x44441)))
% 163.42/163.15 [4445]E(f326(f326(f80(a920),x44451),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f79(a920),x44451),x44451))
% 163.42/163.15 [4446]E(f326(f326(f35(a920),f326(f326(f79(a920),x44461),x44461)),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x44461)
% 163.42/163.15 [4525]E(f44(a920,f326(a112,f326(a112,x45251)),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f44(a920,x45251,f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 163.42/163.15 [4667]E(f326(a88,f326(f326(f39(f927(a920,a920),f928(f927(a920,a920),a916)),f326(a106,x46671)),f326(f256(a920,a920,f928(f927(a920,a920),a916)),f326(f326(f10(f928(a920,f928(f927(a920,a920),a916)),f928(a920,f928(f927(a920,a920),a916)),a920),f326(f10(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916),a920),f284(f927(a920,a920),f927(a920,a920),a108))),f326(f326(f9(a920,f928(f927(a920,a920),a916),f928(a920,f928(f927(a920,a920),a916))),f326(f326(f10(f928(a920,f928(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f928(f928(f927(a920,a920),a916),f928(a920,f928(f927(a920,a920),a916))),a920),f9(a920,f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f10(f928(a920,f927(a920,a920)),f928(a920,f928(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),a920),f326(f10(f927(a920,a920),f928(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),a920),f308(f927(a920,a920)))),f326(f9(a920,a920,f927(a920,a920)),f251(a920,a920))))),f189(f928(f927(a920,a920),a916))))))),f326(f78(a1),x46671))
% 163.42/163.15 [4520]E(f326(f326(f79(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x45201),f326(a112,f326(a112,x45201)))
% 163.42/163.15 [4521]E(f326(f326(f80(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x45211),f326(f326(f79(a920),x45211),x45211))
% 163.42/163.15 [4557]E(f326(f326(f35(a920),f326(a112,f326(a112,x45571))),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a112,f326(f326(f35(a920),x45571),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 163.42/163.15 [4607]E(f326(f326(f79(a920),f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46071),f326(a112,f326(a112,f326(a112,x46071))))
% 163.42/163.15 [4674]E(f326(f256(a1,a1,f927(a1,a1)),f326(f326(f20(a1,f928(a1,f927(a1,a1)),f928(a1,f927(a1,a1))),f326(f326(f10(f928(a1,f928(f927(a1,a1),f927(a1,a1))),f928(f928(a1,f927(a1,a1)),f928(a1,f927(a1,a1))),a1),f20(a1,f927(a1,a1),f927(a1,a1))),f326(f326(f10(f928(a1,f927(a1,a1)),f928(a1,f928(f927(a1,a1),f927(a1,a1))),a1),f326(f20(a1,f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),f326(f326(f10(a916,f928(f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),a1),f96(f927(a1,a1))),f326(f326(f10(a1,a916,a1),f326(f234(a1),f2(a1))),f326(f326(f9(a1,a1,a1),f3(a1)),x46741))))),f326(f326(f9(a1,f928(a1,a1),f928(a1,f927(a1,a1))),f326(f326(f10(f928(a1,f927(a1,a1)),f928(f928(a1,a1),f928(a1,f927(a1,a1))),a1),f10(a1,f927(a1,a1),a1)),f326(f326(f10(a1,f928(a1,f927(a1,a1)),a1),f251(a1,a1)),f326(f326(f9(a1,a1,a1),f326(f326(f10(a1,f928(a1,a1),a1),f79(a1)),f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f77(a1))))),f326(f326(f9(a1,a1,a1),f3(a1)),x46741))))),f326(f326(f10(a1,f928(a1,f927(a1,a1)),a1),f251(a1,a1)),f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))),f42(x46741))
% 163.42/163.15 [3370]P105(f926(x33701,x33702))
% 163.42/163.15 [3371]P105(f927(x33711,x33712))
% 163.42/163.15 [3372]P105(f925(x33721,x33722))
% 163.42/163.15 [3389]P14(a1,f178(x33891,x33892))
% 163.42/163.15 [3390]P39(x33901,f153(x33901,x33902))
% 163.42/163.15 [3391]P40(x33911,f262(x33911,x33912))
% 163.42/163.15 [3392]P40(x33921,f306(x33921,x33922))
% 163.42/163.15 [3393]P41(x33931,f262(x33931,x33932))
% 163.42/163.15 [3394]P53(x33941,f262(x33941,x33942))
% 163.42/163.15 [3457]P33(x34571,x34572,f113(x34571))
% 163.42/163.15 [3490]P54(x34901,x34902,f262(x34901,x34902))
% 163.42/163.15 [3491]P56(x34911,x34911,f262(x34911,x34912))
% 163.42/163.15 [3757]P26(x37571,x37571,f7(x37571),x37572)
% 163.42/163.15 [3758]P26(x37581,x37581,f31(x37581),x37582)
% 163.42/163.15 [3766]P34(x37661,x37662,f113(x37661),f113(x37661))
% 163.42/163.15 [3775]P26(f921(x37751),f921(x37751),f168(x37751),x37752)
% 163.42/163.15 [4184]P27(x41841,x41841,f31(x41841),x41842,x41842)
% 163.42/163.15 [4683]~E(f30(x46831,x46832),a25)
% 163.42/163.15 [4684]~E(f29(x46841,x46842),a25)
% 163.42/163.15 [4709]~P35(x47091,x47092,f113(x47091))
% 163.42/163.15 [4710]~P37(x47101,x47102,f113(x47101))
% 163.42/163.15 [3356]E(f326(f7(x33561),x33562),x33562)
% 163.42/163.15 [3357]E(f326(f261(x33571),x33572),x33572)
% 163.42/163.15 [3359]E(f326(f31(x33591),x33592),x33592)
% 163.42/163.15 [3369]E(f326(f192(x33691),x33692),f115(x33691))
% 163.42/163.15 [3387]E(f84(x33871,f326(a323,x33872)),x33872)
% 163.42/163.15 [3388]E(f89(x33881,f326(a323,x33882)),x33882)
% 163.42/163.15 [3410]E(f326(f125(x34101,x34102),f119(x34101)),f2(a920))
% 163.42/163.15 [3413]E(f326(f136(x34131,x34132),f113(x34131)),f113(x34131))
% 163.42/163.15 [3433]E(f306(x34331,f306(x34331,x34332)),f306(x34331,x34332))
% 163.42/163.15 [3434]E(f152(x34341,f152(x34341,x34342)),f152(x34341,x34342))
% 163.42/163.15 [3452]E(f326(f326(f134(x34521),x34522),f113(x34521)),x34522)
% 163.42/163.15 [3458]E(f173(x34581,x34582,f113(x34581)),x34582)
% 163.42/163.15 [3459]E(f173(x34591,f113(x34591),x34592),x34592)
% 163.42/163.15 [3460]E(f116(x34601,f119(x34601),x34602),x34602)
% 163.42/163.15 [3461]E(f169(x34611,f2(a920),x34612),f113(x34611))
% 163.42/163.15 [3467]E(f326(f326(f175(x34671),x34672),f113(x34671)),f113(x34671))
% 163.42/163.15 [3468]E(f326(f326(f138(x34681),x34682),f113(x34681)),f113(x34681))
% 163.42/163.15 [3470]E(f155(x34701,x34702,f113(x34701)),f2(a920))
% 163.42/163.15 [3472]E(f170(x34721,x34722,f113(x34721)),f113(x34721))
% 163.42/163.15 [3473]E(f177(x34731,x34732,f113(x34731)),f113(x34731))
% 163.42/163.15 [3474]E(f176(x34741,f113(x34741),x34742),f113(x34741))
% 163.42/163.15 [3478]E(f326(f172(x34781),f152(x34781,x34782)),f326(f172(x34781),x34782))
% 163.42/163.15 [3481]E(f326(f283(x34811,x34811),f262(x34811,x34812)),x34812)
% 163.42/163.15 [3482]E(f326(f263(x34821,x34821),f262(x34821,x34822)),x34822)
% 163.42/163.15 [3489]E(f326(f285(x34891,x34891),f262(x34891,x34892)),f262(x34891,x34892))
% 163.42/163.15 [3502]E(f306(f921(x35021),f157(x35021,x35022)),f158(x35021,f306(x35021,x35022)))
% 163.42/163.15 [3504]P106(f326(f137(a1),f178(x35041,x35042)))
% 163.42/163.15 [3512]E(f326(f283(x35121,x35121),f306(x35121,x35122)),f241(f928(x35121,a916)))
% 163.42/163.15 [3513]E(f326(f263(x35131,x35131),f306(x35131,x35132)),f241(f928(x35131,a916)))
% 163.42/163.15 [3517]P106(f326(f137(x35171),f152(x35171,x35172)))
% 163.42/163.15 [3519]P106(f326(f160(x35191,x35192),f113(x35191)))
% 163.42/163.15 [3525]E(f326(f172(a1),f178(x35251,x35252)),f302(a1,x35251,x35252))
% 163.42/163.15 [3539]P57(x35391,f189(f928(x35391,a916)),x35392)
% 163.42/163.15 [3544]E(f326(f255(a1,a1),f45(x35441,x35442)),f44(a1,x35441,x35442))
% 163.42/163.15 [3545]E(f326(f301(a920,x35451),f326(a112,x35452)),f302(a920,x35451,x35452))
% 163.42/163.15 [3561]E(f326(f326(f151(x35611),x35612),f113(x35611)),f140(x35611,x35612,f113(x35611)))
% 163.42/163.15 [3573]E(f302(a920,f326(a112,x35731),x35732),f304(a920,x35731,x35732))
% 163.42/163.15 [3576]P54(x35761,f241(f928(x35761,a916)),f306(x35761,x35762))
% 163.42/163.15 [3639]E(f326(f326(f3(a920),x36391),f326(a112,x36392)),f326(f34(a920),f305(a920,x36392,x36391)))
% 163.42/163.15 [3695]E(f166(x36951,x36952,f113(x36951)),f326(f326(f251(f921(x36951),f921(x36951)),f113(x36951)),f113(x36951)))
% 163.42/163.15 [3713]E(f326(f256(x37131,x37132,f927(x37131,x37132)),f251(x37131,x37132)),f31(f927(x37131,x37132)))
% 163.42/163.15 [3717]P106(f326(f326(f328(f921(x37171)),f113(x37171)),f161(x37171,x37172)))
% 163.42/163.15 [3718]E(f326(f190(f921(x37181)),f114(x37181,x37182)),f326(f326(f3(a920),f326(f190(f921(x37181)),x37182)),f77(a920)))
% 163.42/163.15 [3726]P106(f326(f60(a920),f302(a920,x37261,x37262)))
% 163.42/163.15 [3727]P106(f326(f60(a920),f305(a920,x37271,x37272)))
% 163.42/163.15 [3728]P106(f326(f60(a920),f304(a920,x37281,x37282)))
% 163.42/163.15 [3729]P106(f326(f60(a1),f302(a1,x37291,x37292)))
% 163.42/163.15 [3730]P106(f326(f60(a1),f305(a1,x37301,x37302)))
% 163.42/163.15 [3731]P106(f326(f60(a1),f304(a1,x37311,x37312)))
% 163.42/163.15 [3837]E(f326(f309(a920,a920,a112),f302(a920,x38371,x38372)),f302(a920,f326(a112,x38371),f326(a112,x38372)))
% 163.42/163.15 [3857]E(f326(f326(f288(x38571,x38571,x38571),f306(x38571,x38572)),f306(x38571,x38572)),f306(x38571,x38572))
% 163.42/163.15 [3892]E(f326(f326(f251(a99,a99),f326(f326(f35(a99),x38921),x38922)),f44(a99,x38921,x38922)),f23(x38921,x38922))
% 163.42/163.15 [3893]E(f326(f326(f251(a1,a1),f326(f326(f35(a1),x38931),x38932)),f44(a1,x38931,x38932)),f45(x38931,x38932))
% 163.42/163.15 [3920]E(f326(f326(f251(a920,a920),f326(f326(f35(a920),x39201),x39202)),f44(a920,x39201,x39202)),f84(f927(a920,a920),f47(x39201,x39202)))
% 163.42/163.15 [3972]P106(f326(f326(f235(a920),f326(f326(f3(a920),x39721),x39722)),f326(a112,x39721)))
% 163.42/163.15 [4022]P40(x40221,f326(f326(f288(x40221,x40221,x40221),x40222),f306(x40221,x40222)))
% 163.42/163.15 [4073]E(f326(f326(f79(a1),f326(f326(f80(a1),x40731),f326(f326(f35(a1),x40732),x40731))),f44(a1,x40732,x40731)),x40732)
% 163.42/163.15 [4077]E(f326(f326(f39(a920,f928(f927(f921(x40771),f921(x40771)),a916)),f241(f928(a920,a916))),f143(x40771,x40772)),f145(x40771,x40772))
% 163.42/163.15 [4302]P106(f326(f326(f328(f927(f921(x43021),f921(x43021))),f326(f326(f251(f921(x43021),f921(x43021)),f113(x43021)),f113(x43021))),f158(x43021,x43022)))
% 163.42/163.15 [4412]E(f252(x44121,x44121,x44121,a323,f252(x44121,x44121,x44121,x44122,a323)),x44122)
% 163.42/163.15 [4456]E(f257(x44561,x44561,x44562,x44562,f7(x44561),f7(x44562)),f31(f927(x44561,x44562)))
% 163.42/163.15 [4458]E(f257(x44581,x44581,x44582,x44582,f31(x44581),f31(x44582)),f31(f927(x44581,x44582)))
% 163.42/163.15 [3451]E(f326(f168(x34511),f326(f168(x34511),x34512)),x34512)
% 163.42/163.15 [3453]E(f326(f326(f138(x34531),f2(a920)),x34532),x34532)
% 163.42/163.15 [3469]E(f326(f326(f175(x34691),f2(a920)),x34692),f113(x34691))
% 163.42/163.15 [3476]E(f326(f326(f134(x34761),f113(x34761)),x34762),x34762)
% 163.42/163.15 [3485]E(f36(f928(x34851,a916),f326(f307(x34851),x34852)),x34852)
% 163.42/163.15 [3487]E(f326(f172(x34871),f326(f167(x34871),x34872)),f326(f172(x34871),x34872))
% 163.42/163.15 [3488]E(f326(f172(x34881),f326(f168(x34881),x34882)),f326(f172(x34881),x34882))
% 163.42/163.15 [3493]E(f326(f326(f3(a99),x34931),x34932),f326(f326(a4,x34931),x34932))
% 163.42/163.15 [3506]E(f326(f326(f80(a920),x35061),x35062),f326(f326(f80(a920),x35062),x35061))
% 163.42/163.15 [3507]E(f326(f326(f80(a1),x35071),x35072),f326(f326(f80(a1),x35072),x35071))
% 163.42/163.15 [3508]E(f326(f326(f79(a920),x35081),x35082),f326(f326(f79(a920),x35082),x35081))
% 163.42/163.15 [3509]E(f326(f326(f79(a1),x35091),x35092),f326(f326(f79(a1),x35092),x35091))
% 163.42/163.15 [3531]E(f326(f326(f183(x35311,x35311),f2(a920)),x35312),f31(x35311))
% 163.42/163.15 [3532]E(f326(f190(f921(x35321)),f326(f167(x35321),x35322)),f326(f190(f921(x35321)),x35322))
% 163.42/163.15 [3533]E(f326(f190(f921(x35331)),f326(f168(x35331),x35332)),f326(f190(f921(x35331)),x35332))
% 163.42/163.15 [3534]E(f176(x35341,x35342,f189(f928(a920,a916))),f113(x35341))
% 163.42/163.15 [3535]E(f326(f326(f154(x35351,x35351),f7(x35351)),x35352),x35352)
% 163.42/163.15 [3537]E(f326(f250(a1,a1),f45(x35371,x35372)),f326(f326(f35(a1),x35371),x35372))
% 163.42/163.15 [3554]E(f326(f190(f921(x35541)),f152(x35541,x35542)),f326(f34(x35541),f326(f172(x35541),x35542)))
% 163.42/163.15 [3555]E(f28(f29(x35551,x35552)),f326(f326(f79(a920),f28(x35552)),f326(a112,f2(a920))))
% 163.42/163.15 [3556]E(f326(f280(x35561),f326(f285(x35561,x35561),x35562)),f326(f280(x35561),x35562))
% 163.42/163.15 [3560]P106(f326(f60(x35601),f326(f172(x35601),x35602)))
% 163.42/163.15 [3568]E(f326(f326(f79(a1),x35681),f326(f78(a1),x35682)),f326(f326(f3(a1),x35681),x35682))
% 163.42/163.15 [3575]P25(x35751,x35752,f189(f928(f919(x35751),a916)))
% 163.42/163.15 [3577]E(f326(f310(x35771,x35771,f7(x35771)),x35772),x35772)
% 163.42/163.15 [3578]E(f326(f310(x35781,x35781,f31(x35781)),x35782),x35782)
% 163.42/163.15 [3579]E(f326(f309(x35791,x35791,f7(x35791)),x35792),x35792)
% 163.42/163.15 [3580]E(f326(f309(x35801,x35801,f31(x35801)),x35802),x35802)
% 163.42/163.15 [3581]P106(f326(f241(f928(x35811,a916)),x35812))
% 163.42/163.15 [3583]E(f326(f34(a920),f326(f301(a920,x35831),x35832)),f326(f326(f3(a920),x35832),x35831))
% 163.42/163.15 [3584]E(f326(f301(a920,f326(a112,x35841)),x35842),f305(a920,x35841,x35842))
% 163.42/163.15 [3597]E(f326(f326(f308(x35971),x35972),f189(f928(x35971,a916))),f326(f261(x35971),f326(a323,x35972)))
% 163.42/163.15 [3602]E(f306(x36021,f326(f285(x36021,x36021),x36022)),f326(f285(x36021,x36021),f306(x36021,x36022)))
% 163.42/163.15 [3607]E(f326(f326(f79(a920),f326(a112,x36071)),x36072),f326(f326(f79(a920),x36071),f326(a112,x36072)))
% 163.42/163.15 [3608]E(f326(f326(f3(a920),f326(a112,x36081)),f326(a112,x36082)),f326(f326(f3(a920),x36081),x36082))
% 163.42/163.15 [3614]E(f54(x36141,f2(a920),x36142),f326(f326(f151(f921(x36141)),f113(x36141)),f113(f921(x36141))))
% 163.42/163.15 [3615]E(f326(f34(a920),f304(a920,x36151,x36152)),f326(f326(f3(a920),x36152),x36151))
% 163.42/163.15 [3624]P39(x36241,f326(f326(f287(a920,x36241),a239),x36242))
% 163.42/163.15 [3626]P14(a920,f139(a920,f326(f301(a920,x36261),x36262)))
% 163.42/163.15 [3628]P106(f326(f60(a920),f326(f301(a920,x36281),x36282)))
% 163.42/163.15 [3629]P106(f326(f60(a1),f326(f301(a1,x36291),x36292)))
% 163.42/163.15 [3632]E(f326(f285(f921(x36321),f921(x36321)),f157(x36321,x36322)),f157(x36321,f326(f285(x36321,x36321),x36322)))
% 163.42/163.15 [3633]E(f326(f190(a917),f29(x36331,x36332)),f326(f326(f79(a920),f326(f190(a917),x36332)),f326(a112,f2(a920))))
% 163.42/163.15 [3635]E(f326(f301(a1,x36351),f326(f326(f79(a1),x36352),f77(a1))),f302(a1,x36351,x36352))
% 163.42/163.15 [3638]E(f326(f326(f35(a1),f326(f78(a1),x36381)),f326(f78(a1),x36382)),f326(f326(f35(a1),x36381),x36382))
% 163.42/163.15 [3646]E(f326(f326(f183(f927(x36461,x36461),a916),f77(a920)),x36462),x36462)
% 163.42/163.15 [3648]E(f326(f326(f110(f928(x36481,a916)),x36482),f189(f928(x36481,a916))),x36482)
% 163.42/163.15 [3649]E(f326(f326(f3(f928(x36491,a916)),x36492),f189(f928(x36491,a916))),x36492)
% 163.42/163.15 [3650]E(f326(f326(f101(f928(x36501,a916)),x36502),f241(f928(x36501,a916))),x36502)
% 163.42/163.15 [3651]E(f326(f250(a920,a920),f84(f927(a920,a920),f47(x36511,x36512))),f326(f326(f35(a920),x36511),x36512))
% 163.42/163.15 [3658]E(f302(a1,f326(f326(f79(a1),x36581),f77(a1)),x36582),f304(a1,x36581,x36582))
% 163.42/163.15 [3663]E(f326(f255(a920,a920),f84(f927(a920,a920),f47(x36631,x36632))),f44(a920,x36631,x36632))
% 163.42/163.15 [3673]P106(f326(f326(f328(x36731),x36732),f241(f928(x36731,a916))))
% 163.42/163.15 [3678]E(f326(f326(f3(a920),f326(a112,x36781)),x36782),f326(f34(a920),f302(a920,x36782,x36781)))
% 163.42/163.15 [3704]E(f326(f326(f110(f928(x37041,a916)),x37042),f241(f928(x37041,a916))),f241(f928(x37041,a916)))
% 163.42/163.15 [3705]E(f326(f326(f3(f928(x37051,a916)),x37052),f241(f928(x37051,a916))),f189(f928(x37051,a916)))
% 163.42/163.15 [3706]E(f326(f326(f101(f928(x37061,a916)),x37062),f189(f928(x37061,a916))),f189(f928(x37061,a916)))
% 163.42/163.15 [3721]E(f44(a1,f326(f100(a1),x37211),f326(f100(a1),x37212)),f326(f100(a1),f44(a920,x37211,x37212)))
% 163.42/163.15 [3722]E(f44(a1,f326(f78(a1),x37221),f326(f78(a1),x37222)),f326(f78(a1),f44(a1,x37221,x37222)))
% 163.42/163.15 [3733]E(f326(f190(f921(x37331)),f326(f171(x37331),x37332)),f326(f326(f3(a920),f326(f190(f921(x37331)),x37332)),f77(a920)))
% 163.42/163.15 [3759]E(f326(f326(f35(a1),f44(a1,x37591,x37592)),x37592),f2(a1))
% 163.42/163.15 [3768]E(f326(a5,f44(a920,f326(a22,x37681),f326(a22,x37682))),f44(a99,x37681,x37682))
% 163.42/163.15 [3803]E(f326(a5,f326(f326(f3(a920),f326(a22,x38031)),f326(a22,x38032))),f326(f326(f3(a99),x38031),x38032))
% 163.42/163.15 [3804]E(f326(a5,f326(f326(f80(a920),f326(a22,x38041)),f326(a22,x38042))),f326(f326(f80(a99),x38041),x38042))
% 163.42/163.15 [3805]E(f326(a5,f326(f326(f79(a920),f326(a22,x38051)),f326(a22,x38052))),f326(f326(f79(a99),x38051),x38052))
% 163.42/163.15 [3806]E(f326(a5,f326(f326(f35(a920),f326(a22,x38061)),f326(a22,x38062))),f326(f326(f35(a99),x38061),x38062))
% 163.42/163.15 [3815]E(f326(f309(a920,a920,a112),f326(f301(a920,x38151),x38152)),f326(f301(a920,f326(a112,x38151)),f326(a112,x38152)))
% 163.42/163.15 [3842]P106(f326(f47(x38421,x38422),f84(f927(a920,a920),f47(x38421,x38422))))
% 163.42/163.15 [3866]E(f326(f326(f79(a920),f326(f326(f79(a920),f28(x38661)),f28(x38662))),f326(a112,f2(a920))),f28(f30(x38661,x38662)))
% 163.42/163.15 [3867]E(f44(a920,f326(a112,f44(a920,x38671,x38672)),x38672),f44(a920,f326(a112,x38671),x38672))
% 163.42/163.15 [3879]E(f326(f326(f39(f928(x38791,a916),f928(x38791,a916)),x38792),f7(f928(x38791,a916))),f36(f928(x38791,a916),x38792))
% 163.42/163.15 [3880]E(f326(f326(f38(f928(x38801,a916),f928(x38801,a916)),x38802),f7(f928(x38801,a916))),f37(f928(x38801,a916),x38802))
% 163.42/163.15 [3881]E(f326(f309(f921(x38811),f928(x38811,a916),f172(x38811)),f326(f172(f921(x38811)),f53(x38811,x38812))),f326(f307(x38811),f326(f172(x38811),x38812)))
% 163.42/163.15 [3885]P106(f326(f326(f328(f928(x38851,a916)),x38852),f326(f307(x38851),x38852)))
% 163.42/163.15 [3891]E(f44(a1,f326(f78(a1),f44(a1,x38911,x38912)),x38912),f44(a1,f326(f78(a1),x38911),x38912))
% 163.42/163.15 [3902]P106(f326(f326(f234(f928(x39021,a916)),x39022),f241(f928(x39021,a916))))
% 163.42/163.15 [3904]E(f326(f326(f288(x39041,x39041,x39041),f306(x39041,x39042)),f306(x39041,f306(x39041,x39042))),f306(x39041,x39042))
% 163.42/163.15 [3905]E(f326(f326(f110(f928(x39051,a916)),f326(f263(x39051,x39051),x39052)),f326(f283(x39051,x39051),x39052)),f326(f280(x39051),x39052))
% 163.42/163.15 [3926]E(f312(x39261,x39262,f241(f928(x39261,a916)),f241(f928(x39262,a916))),f241(f928(f926(x39261,x39262),a916)))
% 163.42/163.15 [3977]P106(f326(f326(f234(a920),f44(a920,x39771,x39772)),x39771))
% 163.42/163.15 [4001]P106(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x40011))),f326(f100(a1),x40012)))
% 163.42/163.15 [4027]P106(f326(f326(f328(f928(x40271,a916)),f189(f928(x40271,a916))),f326(f307(x40271),x40272)))
% 163.42/163.15 [4032]E(f306(x40321,f326(f326(f288(x40321,x40321,x40321),x40322),f306(x40321,x40322))),f306(x40321,x40322))
% 163.42/163.15 [4035]E(f326(f326(f288(x40351,x40351,x40351),f306(x40351,x40352)),x40352),f326(f326(f288(x40351,x40351,x40351),x40352),f306(x40351,x40352)))
% 163.42/163.15 [4037]E(f326(a104,f326(f326(f79(a1),f326(f326(f3(a1),x40371),x40372)),f77(a1))),f326(f34(a1),f302(a1,x40372,x40371)))
% 163.42/163.15 [4052]E(f326(f283(x40521,x40521),f326(f326(f288(x40521,x40521,x40521),x40522),f306(x40521,x40522))),f326(f283(x40521,x40521),x40522))
% 163.42/163.15 [4053]E(f326(f263(x40531,x40531),f326(f326(f288(x40531,x40531,x40531),x40532),f306(x40531,x40532))),f326(f263(x40531,x40531),x40532))
% 163.42/163.15 [4069]E(f326(f326(f79(a920),f326(f326(f79(a920),f326(f190(a917),x40691)),f326(f190(a917),x40692))),f326(a112,f2(a920))),f326(f190(a917),f30(x40691,x40692)))
% 163.42/163.15 [4072]E(f326(f142(f921(x40721),f921(x40721),f134(x40721),f113(x40721)),f169(f921(x40721),x40722,f113(x40721))),f113(x40721))
% 163.42/163.15 [4081]P26(a920,a920,f326(f326(f9(a920,a920,a920),f79(a920)),x40811),x40812)
% 163.42/163.15 [4083]P14(a920,f326(f168(a920),f326(f326(f154(f921(x40831),a920),f190(f921(x40831))),f179(x40831,x40832))))
% 163.42/163.15 [4114]P53(x41141,f326(f326(f110(f928(f927(x41141,x41141),a916)),x41142),f326(f285(x41141,x41141),x41142)))
% 163.42/163.15 [4115]P53(x41151,f326(f326(f101(f928(f927(x41151,x41151),a916)),x41152),f326(f285(x41151,x41151),x41152)))
% 163.42/163.15 [4126]P106(f326(f326(f235(a1),f326(f78(a1),f326(f100(a1),f326(a112,x41261)))),f326(f100(a1),x41262)))
% 163.42/163.15 [4173]E(f326(f142(f921(x41731),x41731,f326(f9(x41731,f921(x41731),f921(x41731)),f151(x41731)),f113(x41731)),x41732),f326(f168(x41731),x41732))
% 163.42/163.15 [4223]P106(f326(f326(f234(f928(f927(f921(x42231),f921(x42231)),a916)),f158(x42231,x42232)),f306(f921(x42231),f157(x42231,x42232))))
% 163.42/163.15 [4252]P106(f326(f47(x42521,x42522),f326(f326(f251(a920,a920),f326(f326(f35(a920),x42521),x42522)),f44(a920,x42521,x42522))))
% 163.42/163.15 [4264]P106(f326(f326(f234(f928(f927(f921(x42641),f921(x42641)),a916)),f157(x42641,f306(x42641,x42642))),f306(f921(x42641),f157(x42641,x42642))))
% 163.42/163.15 [4481]E(f326(f326(f258(f927(a99,a99),a99,f927(a99,a99),f927(x44811,f927(a99,a99))),f266(f326(f165(a99),f326(f326(f154(f927(a99,x44811),a99),f250(a99,x44811)),x44812)))),f326(f326(f10(x44811,f928(f927(a99,a99),f927(x44811,f927(a99,a99))),a99),f251(x44811,f927(a99,a99))),f267(x44811,x44812))),f265(x44811,x44812))
% 163.42/163.15 [4559]E(f224(a920,f927(x45591,f922(x45591)),f2(a920),f326(f256(x45591,f922(x45591),a920),f326(f18(f928(f922(x45591),a920),x45591),f326(f326(f9(f922(x45591),a920,a920),f326(f326(f10(a920,f928(a920,a920),f922(x45591)),f79(a920)),f190(f922(x45591)))),f77(a920)))),f326(f135(x45591),x45592)),f326(f190(f922(x45591)),x45592))
% 163.42/163.15 [4666]E(f326(f256(f928(f927(x46661,x46661),a916),f928(f927(x46661,x46661),a916),f928(f928(x46662,x46661),f927(f928(f927(x46662,x46662),a916),f928(f927(x46662,x46662),a916)))),f326(f326(f9(f928(f927(x46661,x46661),a916),f928(f928(f927(x46661,x46661),a916),f928(f928(x46662,x46661),f928(f927(x46662,x46662),a916))),f928(f928(f927(x46661,x46661),a916),f928(f928(x46662,x46661),f927(f928(f927(x46662,x46662),a916),f928(f927(x46662,x46662),a916))))),f326(f326(f10(f928(f928(f928(x46662,x46661),f928(f927(x46662,x46662),a916)),f928(f928(x46662,x46661),f927(f928(f927(x46662,x46662),a916),f928(f927(x46662,x46662),a916)))),f928(f928(f928(f927(x46661,x46661),a916),f928(f928(x46662,x46661),f928(f927(x46662,x46662),a916))),f928(f928(f927(x46661,x46661),a916),f928(f928(x46662,x46661),f927(f928(f927(x46662,x46662),a916),f928(f927(x46662,x46662),a916))))),f928(f927(x46661,x46661),a916)),f10(f928(f928(x46662,x46661),f928(f927(x46662,x46662),a916)),f928(f928(x46662,x46661),f927(f928(f927(x46662,x46662),a916),f928(f927(x46662,x46662),a916))),f928(f927(x46661,x46661),a916))),f326(f326(f10(f928(f928(x46662,x46661),f928(f928(f927(x46662,x46662),a916),f927(f928(f927(x46662,x46662),a916),f928(f927(x46662,x46662),a916)))),f928(f928(f928(x46662,x46661),f928(f927(x46662,x46662),a916)),f928(f928(x46662,x46661),f927(f928(f927(x46662,x46662),a916),f928(f927(x46662,x46662),a916)))),f928(f927(x46661,x46661),a916)),f20(f928(x46662,x46661),f928(f927(x46662,x46662),a916),f927(f928(f927(x46662,x46662),a916),f928(f927(x46662,x46662),a916)))),f326(f326(f10(f928(f928(x46662,x46661),f928(f927(x46662,x46662),a916)),f928(f928(x46662,x46661),f928(f928(f927(x46662,x46662),a916),f927(f928(f927(x46662,x46662),a916),f928(f927(x46662,x46662),a916)))),f928(f927(x46661,x46661),a916)),f326(f10(f928(f927(x46662,x46662),a916),f928(f928(f927(x46662,x46662),a916),f927(f928(f927(x46662,x46662),a916),f928(f927(x46662,x46662),a916))),f928(x46662,x46661)),f251(f928(f927(x46662,x46662),a916),f928(f927(x46662,x46662),a916)))),f287(x46661,x46662))))),f287(x46661,x46662))),f73(x46661,x46662))
% 163.42/163.15 [4729]~E(f326(f307(x47291),x47292),f189(f928(f928(x47291,a916),a916)))
% 163.42/163.15 [4740]~P106(f326(f326(f172(x47401),f113(x47401)),x47402))
% 163.42/163.15 [4744]~P106(f326(f326(f328(x47441),x47442),f189(f928(x47441,a916))))
% 163.42/163.15 [4752]~P106(f326(f326(f235(f928(x47521,a916)),x47522),f189(f928(x47521,a916))))
% 163.42/163.15 [3586]E(f326(f326(f3(a920),x35861),f326(f326(f79(a920),x35861),x35862)),f2(a920))
% 163.42/163.15 [3589]E(f326(f326(f110(f928(x35891,a916)),x35892),x35892),x35892)
% 163.42/163.15 [3590]E(f326(f326(f101(f928(x35901,a916)),x35902),x35902),x35902)
% 163.42/163.15 [3618]E(f326(f326(f3(f928(x36181,a916)),x36182),x36182),f189(f928(x36181,a916)))
% 163.42/163.15 [3621]E(f326(f143(x36211,x36212),f2(a920)),f189(f928(f927(f921(x36211),f921(x36211)),a916)))
% 163.42/163.15 [3622]E(f326(f326(f79(a920),x36221),f326(a112,x36222)),f326(a112,f326(f326(f79(a920),x36221),x36222)))
% 163.42/163.15 [3634]E(f195(f326(f100(a1),x36341),f326(f100(a1),x36342)),f326(f100(a1),f326(f326(f3(a920),x36341),x36342)))
% 163.42/163.15 [3637]E(f326(f326(f35(a1),f326(f78(a1),x36371)),x36372),f326(f326(f35(a1),x36371),f326(f78(a1),x36372)))
% 163.42/163.15 [3641]E(f326(f34(a1),f326(f301(a1,x36411),x36412)),f326(a104,f326(f326(f3(a1),x36412),x36411)))
% 163.42/163.15 [3644]E(f326(f326(f79(a920),f326(a112,x36441)),x36442),f326(a112,f326(f326(f79(a920),x36441),x36442)))
% 163.42/163.15 [3647]E(f326(f78(f928(x36471,a916)),f326(f78(f928(x36471,a916)),x36472)),x36472)
% 163.42/163.15 [3660]E(f179(x36601,f326(f326(f151(f921(x36601)),f113(x36601)),x36602)),f179(x36601,x36602))
% 163.42/163.15 [3664]E(f326(f326(f79(a920),x36641),f326(f326(f80(a920),x36641),x36642)),f326(f326(f80(a920),x36641),f326(a112,x36642)))
% 163.42/163.15 [3671]E(f326(f326(a4,f326(a5,x36711)),f326(a5,x36712)),f326(a5,f326(f326(f3(a920),x36711),x36712)))
% 163.42/163.15 [3686]E(f326(f326(f80(a1),f326(f78(a1),x36861)),x36862),f326(f78(a1),f326(f326(f80(a1),x36861),x36862)))
% 163.42/163.15 [3688]E(f326(f326(f243(a1),f326(f100(a1),x36881)),x36882),f326(f100(a1),f326(f326(f243(a920),x36881),x36882)))
% 163.42/163.15 [3689]E(f326(f326(f80(a99),f326(a5,x36891)),f326(a5,x36892)),f326(a5,f326(f326(f80(a920),x36891),x36892)))
% 163.42/163.15 [3690]E(f326(f326(f79(a99),f326(a5,x36901)),f326(a5,x36902)),f326(a5,f326(f326(f79(a920),x36901),x36902)))
% 163.42/163.15 [3691]E(f326(f326(f188(a920),f326(a112,x36911)),f326(a112,x36912)),f326(a112,f326(f326(f188(a920),x36911),x36912)))
% 163.42/163.15 [3692]E(f326(f326(f233(a920),f326(a112,x36921)),f326(a112,x36922)),f326(a112,f326(f326(f233(a920),x36921),x36922)))
% 163.42/163.15 [3697]E(f326(f172(a920),f139(a920,f326(f301(a920,x36971),x36972))),f326(f301(a920,x36971),x36972))
% 163.42/163.15 [3698]E(f311(x36981,f326(f326(f308(x36981),x36982),f189(f928(x36981,a916)))),x36982)
% 163.42/163.15 [3702]E(f326(f283(x37021,x37022),f189(f928(f927(x37021,x37022),a916))),f189(f928(x37022,a916)))
% 163.42/163.15 [3703]E(f326(f263(x37031,x37032),f189(f928(f927(x37031,x37032),a916))),f189(f928(x37031,a916)))
% 163.42/163.15 [3707]E(f326(a104,f326(f326(f3(a1),x37071),x37072)),f326(f34(a1),f304(a1,x37072,x37071)))
% 163.42/163.15 [3712]E(f326(f326(f79(a920),x37121),f326(f326(f80(a920),x37122),x37121)),f326(f326(f80(a920),f326(a112,x37122)),x37121))
% 163.42/163.15 [3714]E(f326(f326(f59(x37141),f189(f928(x37141,a916))),x37142),f189(f928(f928(x37141,a916),a916)))
% 163.42/163.15 [3723]E(f326(f190(f921(a920)),f139(a920,f326(f301(a920,x37231),x37232))),f326(f326(f3(a920),x37232),x37231))
% 163.42/163.15 [3738]E(f326(f326(f110(f928(x37381,a916)),f189(f928(x37381,a916))),x37382),x37382)
% 163.42/163.15 [3739]E(f326(f326(f101(f928(x37391,a916)),f241(f928(x37391,a916))),x37392),x37392)
% 163.42/163.15 [3742]E(f326(f326(f79(a1),f326(f78(a1),x37421)),f326(f78(a1),x37422)),f326(f78(a1),f326(f326(f79(a1),x37421),x37422)))
% 163.42/163.15 [3744]E(f326(f326(f80(a1),f326(f103(a1),x37441)),f326(f103(a1),x37442)),f326(f103(a1),f326(f326(f80(a1),x37441),x37442)))
% 163.42/163.15 [3746]E(f326(f326(f80(a1),f326(f100(a1),x37461)),f326(f100(a1),x37462)),f326(f100(a1),f326(f326(f80(a920),x37461),x37462)))
% 163.42/163.15 [3747]E(f326(f326(f79(a1),f326(f103(a1),x37471)),f326(f103(a1),x37472)),f326(f103(a1),f326(f326(f79(a1),x37471),x37472)))
% 163.42/163.15 [3749]E(f326(f326(f79(a1),f326(f100(a1),x37491)),f326(f100(a1),x37492)),f326(f100(a1),f326(f326(f79(a920),x37491),x37492)))
% 163.42/163.15 [3750]E(f326(f326(f35(a1),f326(f100(a1),x37501)),f326(f100(a1),x37502)),f326(f100(a1),f326(f326(f35(a920),x37501),x37502)))
% 163.42/163.15 [3769]E(f326(f326(f8(x37691,a920),f326(f18(a920,x37691),f77(a920))),x37692),f326(f34(x37691),x37692))
% 163.42/163.15 [3776]E(f326(f78(a1),f44(a1,f326(f78(a1),x37761),x37762)),f44(a1,x37761,f326(f78(a1),x37762)))
% 163.42/163.15 [3778]E(f326(f172(a1),f178(x37781,f326(f326(f3(a1),x37782),f77(a1)))),f326(f301(a1,x37781),x37782))
% 163.42/163.15 [3783]P106(f326(f326(f234(a920),x37831),f326(f326(f79(a920),x37832),x37831)))
% 163.42/163.15 [3784]P106(f326(f326(f234(a920),x37841),f326(f326(f79(a920),x37841),x37842)))
% 163.42/163.15 [3786]E(f326(f326(f110(f928(x37861,a916)),f241(f928(x37861,a916))),x37862),f241(f928(x37861,a916)))
% 163.42/163.15 [3787]E(f326(f326(f3(f928(x37871,a916)),f189(f928(x37871,a916))),x37872),f189(f928(x37871,a916)))
% 163.42/163.15 [3788]E(f326(f326(f101(f928(x37881,a916)),f189(f928(x37881,a916))),x37882),f189(f928(x37881,a916)))
% 163.42/163.15 [3795]E(f326(f326(f251(a1,a1),x37951),f326(f78(a1),x37952)),f326(a50,f326(f326(f251(a1,a1),x37951),x37952)))
% 163.42/163.15 [3796]E(f326(f301(a1,f326(f326(f79(a1),x37961),f77(a1))),x37962),f305(a1,x37961,x37962))
% 163.42/163.15 [3807]E(f326(f326(f80(a920),x38071),f326(f326(f35(a920),x38072),x38071)),f326(f326(f3(a920),x38072),f44(a920,x38072,x38071)))
% 163.42/163.15 [3808]E(f326(f326(f80(a1),x38081),f326(f326(f35(a1),x38082),x38081)),f326(f326(f3(a1),x38082),f44(a1,x38082,x38081)))
% 163.42/163.15 [3812]E(f326(f172(a1),f178(f326(f326(f79(a1),x38121),f77(a1)),x38122)),f304(a1,x38121,x38122))
% 163.42/163.15 [3816]P106(f326(f326(f234(f928(x38161,a916)),x38162),x38162))
% 163.42/163.15 [3819]E(f326(f326(f110(f928(x38191,a916)),x38192),f326(f78(f928(x38191,a916)),x38192)),f241(f928(x38191,a916)))
% 163.42/163.15 [3820]E(f326(f326(f101(f928(x38201,a916)),x38202),f326(f78(f928(x38201,a916)),x38202)),f189(f928(x38201,a916)))
% 163.42/163.15 [3828]E(f326(f326(f3(a920),f326(f326(f3(a920),x38281),f77(a920))),x38282),f326(f326(f3(a920),x38281),f326(a112,x38282)))
% 163.42/163.15 [3834]E(f326(f326(f3(f928(x38341,a916)),f241(f928(x38341,a916))),x38342),f326(f78(f928(x38341,a916)),x38342))
% 163.42/163.15 [3835]E(f326(f326(f3(a1),f326(f103(a1),x38351)),f326(f103(a1),x38352)),f326(f103(a1),f326(f326(f79(a1),x38351),f326(f78(a1),x38352))))
% 163.42/163.15 [3848]E(f326(f172(a920),f139(a920,f326(f301(a920,x38481),f326(a112,x38482)))),f302(a920,x38481,x38482))
% 163.42/163.15 [3864]E(f326(f190(f921(f921(x38641))),f53(x38641,x38642)),f326(f326(f243(a920),f326(a112,f326(a112,f2(a920)))),f326(f190(f921(x38641)),x38642)))
% 163.42/163.15 [3883]E(f326(f326(f183(f927(x38831,x38831),a916),f2(a920)),x38832),f306(x38831,f189(f928(f927(x38831,x38831),a916))))
% 163.42/163.15 [3887]P106(f326(f137(a920),f139(a920,f326(f301(a920,x38871),x38872))))
% 163.42/163.15 [3903]E(f326(f309(a1,a920,a104),f302(a1,f326(f100(a1),x39031),f326(f100(a1),x39032))),f302(a920,x39031,x39032))
% 163.42/163.15 [3912]E(f185(a920,f2(a920),f7(a920),f326(f326(f3(a920),x39121),x39122)),f326(f326(f3(a920),x39121),f326(a112,x39122)))
% 163.42/163.15 [3913]E(f326(a104,f326(f326(f3(a1),x39131),f326(f326(f79(a1),x39132),f77(a1)))),f326(f34(a1),f305(a1,x39132,x39131)))
% 163.42/163.15 [3949]E(f326(f326(f154(a920,a920),a112),f139(a920,f326(f301(a920,x39491),x39492))),f139(a920,f326(f301(a920,f326(a112,x39491)),f326(a112,x39492))))
% 163.42/163.15 [3957]E(f326(f172(a1),f178(f326(f326(f79(a1),x39571),f77(a1)),f326(f326(f3(a1),x39572),f77(a1)))),f305(a1,x39571,x39572))
% 163.42/163.15 [3969]P106(f326(f326(f234(f928(x39691,a916)),f189(f928(x39691,a916))),x39692))
% 163.42/163.15 [3973]E(f84(x39731,f326(f326(f9(x39731,x39731,a916),a323),x39732)),x39732)
% 163.42/163.15 [3974]E(f89(x39741,f326(f326(f9(x39741,x39741,a916),a323),x39742)),x39742)
% 163.42/163.15 [3978]E(f326(f172(a920),f139(a920,f326(f301(a920,f326(a112,x39781)),f326(a112,x39782)))),f304(a920,x39781,x39782))
% 163.42/163.15 [4004]E(f326(f326(f253(x40041,x40042),f241(f928(x40041,a916))),f326(f18(f928(x40042,a916),x40041),f241(f928(x40042,a916)))),f241(f928(f927(x40041,x40042),a916)))
% 163.42/163.15 [4039]E(f326(f261(x40391),f326(f326(f10(a916,a916,x40391),a321),x40392)),f326(f78(f928(x40391,a916)),f326(f261(x40391),x40392)))
% 163.42/163.15 [4042]E(f326(f261(x40421),f326(f326(f9(x40421,x40421,a916),a323),x40422)),f326(f326(f308(x40421),x40422),f189(f928(x40421,a916))))
% 163.42/163.15 [4049]E(f326(f326(f79(a1),f326(f326(f3(a1),x40491),x40492)),f326(f326(f3(a1),x40491),x40492)),f326(f326(f3(a1),f326(f326(f79(a1),x40491),x40491)),f326(f326(f79(a1),x40492),x40492)))
% 163.42/163.15 [4050]E(f326(f326(f79(a1),f326(f326(f79(a1),x40501),x40501)),f326(f326(f79(a1),x40502),x40502)),f326(f326(f79(a1),f326(f326(f79(a1),x40501),x40502)),f326(f326(f79(a1),x40501),x40502)))
% 163.42/163.15 [4066]P106(f326(f326(f234(a920),f326(f34(x40661),f326(f172(x40661),x40662))),f326(f190(f921(x40661)),x40662)))
% 163.42/163.15 [4067]P106(f326(f326(f234(a920),f326(f190(f921(x40671)),f152(x40671,x40672))),f326(f190(f921(x40671)),x40672)))
% 163.42/163.15 [4078]E(f326(f261(x40781),f326(f326(f9(x40781,f928(x40781,a916),a916),f328(x40781)),x40782)),x40782)
% 163.42/163.15 [4092]E(f326(f326(f175(x40921),f326(f326(f3(a920),f326(f190(f921(x40921)),x40922)),f77(a920))),x40922),f114(x40921,x40922))
% 163.42/163.15 [4113]E(f185(a920,f2(a920),f326(f326(f10(a920,a920,a920),a112),f326(f188(a920),x41131)),x41132),f326(f326(f188(a920),f326(a112,x41131)),x41132))
% 163.42/163.15 [4118]E(f36(f928(x41181,a916),f326(f309(f928(f927(x41181,x41181),a916),f928(x41181,a916),f280(x41181)),x41182)),f326(f280(x41181),f36(f928(f927(x41181,x41181),a916),x41182)))
% 163.42/163.15 [4119]E(f185(a920,f326(a112,x41191),f326(f326(f10(a920,a920,a920),a112),f326(f233(a920),x41191)),x41192),f326(f326(f233(a920),f326(a112,x41191)),x41192))
% 163.42/163.15 [4121]E(f326(f326(f251(a1,a1),f326(f326(f35(a1),f326(f75(a1),x41211)),f326(f75(a1),x41212))),f44(a1,f326(f75(a1),x41211),f326(f75(a1),x41212))),f52(x41211,x41212))
% 163.42/163.15 [4144]P106(f326(f326(f234(f928(f928(x41441,a916),a916)),x41442),f326(f307(x41441),f36(f928(x41441,a916),x41442))))
% 163.42/163.15 [4178]E(f326(f326(f39(x41781,f928(x41781,a916)),x41782),f326(f326(f9(x41781,f928(x41781,a916),f928(x41781,a916)),f308(x41781)),f189(f928(x41781,a916)))),x41782)
% 163.42/163.15 [4179]E(f326(f326(f288(x41791,x41791,x41791),f326(f285(x41791,x41791),x41792)),f306(x41791,f326(f285(x41791,x41791),x41792))),f326(f285(x41791,x41791),f326(f326(f288(x41791,x41791,x41791),x41792),f306(x41791,x41792))))
% 163.42/163.15 [4244]E(f326(f172(x42441),f326(f142(f921(x42441),f921(x42441),f134(x42441),f113(x42441)),x42442)),f326(f326(f39(f921(x42441),f928(x42441,a916)),f326(f172(f921(x42441)),x42442)),f172(x42441)))
% 163.42/163.15 [4275]E(f326(f326(f110(f928(f927(x42751,x42751),a916)),f306(x42751,f189(f928(f927(x42751,x42751),a916)))),f326(f326(f288(x42751,x42751,x42751),f306(x42751,x42752)),x42752)),f306(x42751,x42752))
% 163.42/163.15 [4311]E(f326(f326(f181(x43111,x43111),x43112),x43112),f326(f326(f154(x43111,f927(x43111,x43111)),f326(f326(f20(x43111,x43111,f927(x43111,x43111)),f251(x43111,x43111)),f7(x43111))),x43112))
% 163.42/163.15 [4423]E(f326(f142(a920,f921(x44231),f326(f9(f921(x44231),a920,a920),f326(f326(f10(a920,f928(a920,a920),f921(x44231)),f233(a920)),f190(f921(x44231)))),f2(a920)),f326(f168(f921(x44231)),x44232)),f326(f190(f921(f921(x44231))),f179(x44231,x44232)))
% 163.42/163.15 [4495]E(f326(f326(f287(f927(a920,f921(x44951)),f921(x44951)),f318(a920,f921(x44951),a239,f145(x44951,x44952))),f326(f326(f20(f921(x44951),f921(x44951),f927(a920,f921(x44951))),f326(f326(f10(a920,f928(f921(x44951),f927(a920,f921(x44951))),f921(x44951)),f251(a920,f921(x44951))),f190(f921(x44951)))),f7(f921(x44951)))),f146(x44951,x44952))
% 163.42/163.15 [4623]E(f326(f261(x46231),f326(f326(f10(f928(f928(x46231,a916),a916),a916,x46231),f86(f928(x46231,a916))),f326(f326(f10(f928(f928(x46231,a916),a916),f928(f928(x46231,a916),a916),x46231),f326(f20(f928(x46231,a916),a916,a916),f326(f326(f10(a916,f928(a916,a916),f928(x46231,a916)),a324),f326(f326(f9(f928(x46231,a916),f928(f928(x46231,a916),a916),a916),f328(f928(x46231,a916))),x46232)))),f328(x46231)))),f36(f928(x46231,a916),x46232))
% 163.42/163.15 [4624]E(f326(f261(x46241),f326(f326(f10(f928(f928(x46241,a916),a916),a916,x46241),f87(f928(x46241,a916))),f326(f326(f10(f928(f928(x46241,a916),a916),f928(f928(x46241,a916),a916),x46241),f326(f20(f928(x46241,a916),a916,a916),f326(f326(f10(a916,f928(a916,a916),f928(x46241,a916)),a329),f326(f326(f9(f928(x46241,a916),f928(f928(x46241,a916),a916),a916),f328(f928(x46241,a916))),x46242)))),f328(x46241)))),f37(f928(x46241,a916),x46242))
% 163.42/163.15 [4753]~P106(f326(f326(f235(a1),f326(f100(a1),x47531)),f326(f78(a1),f326(f100(a1),x47532))))
% 163.42/163.15 [3710]E(f326(f326(f3(a920),f326(f326(f79(a920),x37101),x37102)),x37102),x37101)
% 163.42/163.15 [3711]E(f326(f326(f3(a920),f326(f326(f79(a920),x37111),x37112)),x37111),x37112)
% 163.42/163.15 [3777]E(f326(f326(f79(a920),f326(f326(f3(a920),x37771),x37772)),x37772),f326(f326(f233(a920),x37771),x37772))
% 163.42/163.15 [3890]E(f326(f326(f80(a920),f326(f326(f35(a920),x38901),x38902)),x38902),f326(f326(f3(a920),x38901),f44(a920,x38901,x38902)))
% 163.42/163.15 [3917]E(f326(f172(a920),f139(a920,f326(f301(a920,f326(a112,x39171)),x39172))),f305(a920,x39171,x39172))
% 163.42/163.15 [3925]E(f326(f100(a1),f217(f326(a104,f326(f75(a1),x39251)),f326(a104,f326(f75(a1),x39252)))),f326(f326(a218,x39251),x39252))
% 163.42/163.15 [3927]E(f326(f326(f110(f928(x39271,a916)),f326(f78(f928(x39271,a916)),x39272)),x39272),f241(f928(x39271,a916)))
% 163.42/163.15 [3928]E(f326(f326(f101(f928(x39281,a916)),f326(f78(f928(x39281,a916)),x39282)),x39282),f189(f928(x39281,a916)))
% 163.42/163.15 [3945]P106(f326(f326(f234(a920),f326(f326(f3(a920),x39451),x39452)),x39451))
% 163.42/163.15 [3946]P106(f326(f326(f234(a920),f326(f326(f35(a920),x39461),x39462)),x39461))
% 163.42/163.15 [3970]P106(f326(f326(f235(a920),x39701),f326(a112,f326(f326(f79(a920),x39702),x39701))))
% 163.42/163.15 [3971]P106(f326(f326(f235(a920),x39711),f326(a112,f326(f326(f79(a920),x39711),x39712))))
% 163.42/163.15 [3988]E(f326(f326(f80(a920),f326(a104,f326(f75(a1),x39881))),f326(a104,f326(f75(a1),x39882))),f326(a104,f326(f75(a1),f326(f326(f80(a1),x39881),x39882))))
% 163.42/163.15 [4000]P106(f326(f326(f234(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x40001)),x40002)))
% 163.42/163.15 [4071]E(f326(f284(f921(x40711),f921(x40711),f158(x40711,x40712)),f326(f326(f308(f921(x40711)),f113(x40711)),f189(f928(f921(x40711),a916)))),f326(f326(f308(f921(x40711)),f113(x40711)),f189(f928(f921(x40711),a916))))
% 163.42/163.15 [4090]E(f326(f326(f110(f928(f927(x40901,x40901),a916)),f306(x40901,x40902)),f306(x40901,f189(f928(f927(x40901,x40901),a916)))),f306(x40901,x40902))
% 163.42/163.15 [4103]E(f326(f326(f35(a1),f326(f103(a1),f326(f326(f79(a1),x41031),x41031))),f326(f103(a1),f326(f326(f79(a1),x41032),x41032))),f326(f326(f35(a1),f326(f103(a1),x41031)),f326(f103(a1),x41032)))
% 163.42/163.15 [4168]E(f326(f326(f243(a1),x41681),f326(f103(a920),f326(f326(f79(a1),x41682),x41682))),f326(f326(f85(a1,a1),f326(f326(f243(a1),x41681),f326(f103(a920),x41682))),f326(f326(f20(a1,a1,a1),f80(a1)),f7(a1))))
% 163.42/163.15 [4174]E(f326(f261(f928(x41741,a916)),f326(f326(f9(f928(x41741,a916),f928(x41741,a916),a916),f234(f928(x41741,a916))),x41742)),f326(f307(x41741),x41742))
% 163.42/163.15 [4190]E(f326(f326(f154(a1,a920),a104),f326(f326(f134(a1),f326(f326(f154(a920,a1),f100(a1)),x41901)),f326(f326(f154(a920,a1),f100(a1)),x41902))),f326(f326(f134(a920),x41901),x41902))
% 163.42/163.15 [4222]E(f326(f309(a1,a1,f326(f326(f9(a1,a1,a1),f79(a1)),x42221)),f326(f301(a1,f2(a1)),f326(f326(f3(a1),x42222),x42221))),f326(f301(a1,x42221),x42222))
% 163.42/163.15 [4224]P55(x42241,f326(f326(f3(f928(f927(x42241,x42241),a916)),x42242),f306(x42241,f189(f928(f927(x42241,x42241),a916)))))
% 163.42/163.15 [4242]E(f326(f190(f921(x42421)),f326(f142(f921(x42421),f921(x42421),f134(x42421),f113(x42421)),x42422)),f326(f165(a920),f326(f326(f154(f921(x42421),a920),f190(f921(x42421))),x42422)))
% 163.42/163.15 [4246]P54(x42461,f241(f928(x42461,a916)),f326(f326(f110(f928(f927(x42461,x42461),a916)),x42462),f306(x42461,f189(f928(f927(x42461,x42461),a916)))))
% 163.42/163.15 [4291]E(f185(a920,f2(a920),f326(f326(f10(a920,a920,a920),a112),f326(f326(f9(a920,a920,a920),f188(a920)),x42911)),x42912),f326(f326(f188(a920),x42912),f326(a112,x42911)))
% 163.42/163.15 [4294]E(f185(a920,f326(a112,x42941),f326(f326(f10(a920,a920,a920),a112),f326(f326(f9(a920,a920,a920),f233(a920)),x42941)),x42942),f326(f326(f233(a920),x42942),f326(a112,x42941)))
% 163.42/163.15 [4297]E(f326(f309(x42971,f921(x42971),f326(f326(f9(x42971,f921(x42971),f921(x42971)),f151(x42971)),f113(x42971))),x42972),f174(x42971,x42972,f326(f326(f308(f921(x42971)),f113(x42971)),f189(f928(f921(x42971),a916)))))
% 163.42/163.15 [4299]E(f326(f326(f110(f928(f927(x42991,x42991),a916)),f326(f326(f288(x42991,x42991,x42991),x42992),f306(x42991,x42992))),f306(x42991,f189(f928(f927(x42991,x42991),a916)))),f306(x42991,x42992))
% 163.42/163.15 [4306]P106(f326(f326(f234(f928(f927(x43061,x43061),a916)),f262(x43061,x43062)),f326(f326(f253(x43061,x43061),x43062),f326(f18(f928(x43061,a916),x43061),x43062))))
% 163.42/163.15 [4309]E(f326(f309(a1,a920,a104),f326(f326(f110(f928(a1,a916)),f326(f309(a920,a1,f100(a1)),x43091)),f326(f309(a920,a1,f100(a1)),x43092))),f326(f326(f110(f928(a920,a916)),x43091),x43092))
% 163.42/163.15 [4310]E(f326(f309(a1,a920,a104),f326(f326(f101(f928(a1,a916)),f326(f309(a920,a1,f100(a1)),x43101)),f326(f309(a920,a1,f100(a1)),x43102))),f326(f326(f101(f928(a920,a916)),x43101),x43102))
% 163.42/163.15 [4313]E(f326(f261(x43131),f326(f326(f10(a916,a916,x43131),a321),f326(f326(f9(x43131,f928(x43131,a916),a916),f328(x43131)),x43132))),f326(f78(f928(x43131,a916)),x43132))
% 163.42/163.15 [4340]E(f326(f142(f921(x43401),f921(x43401),f134(x43401),f113(x43401)),f326(f326(f154(f921(x43401),f921(x43401)),f168(x43401)),f326(f168(f921(x43401)),x43402))),f326(f168(x43401),f326(f142(f921(x43401),f921(x43401),f134(x43401),f113(x43401)),x43402)))
% 163.42/163.15 [4366]E(f326(f326(f39(a920,f928(f927(x43661,x43661),a916)),f241(f928(a920,a916))),f326(f326(f9(a920,f928(f927(x43661,x43661),a916),f928(f927(x43661,x43661),a916)),f183(f927(x43661,x43661),a916)),x43662)),f306(x43661,x43662))
% 163.42/163.15 [4384]E(f84(x43841,f326(f326(f10(f928(x43841,a916),a916,x43841),f326(a323,x43842)),f326(f326(f9(x43841,f928(x43841,a916),f928(x43841,a916)),f308(x43841)),f189(f928(x43841,a916))))),f311(x43841,x43842))
% 163.42/163.15 [4392]E(f326(f190(f921(x43921)),f152(x43921,f326(f142(f921(x43921),f921(x43921),f134(x43921),f113(x43921)),x43922))),f326(f34(x43921),f326(f326(f39(f921(x43921),f928(x43921,a916)),f326(f172(f921(x43921)),x43922)),f172(x43921))))
% 163.42/163.15 [4406]E(f326(f326(f110(f928(f927(x44061,x44061),a916)),x44062),f326(f326(f288(x44061,x44061,x44061),f326(f326(f288(x44061,x44061,x44061),x44062),f306(x44061,x44062))),x44062)),f326(f326(f288(x44061,x44061,x44061),x44062),f306(x44061,x44062)))
% 163.42/163.15 [4431]P106(f326(f326(f234(f928(f927(x44311,x44311),a916)),f326(f326(f288(x44311,x44311,x44311),x44312),f306(x44311,x44312))),f326(f326(f253(x44311,x44311),f326(f280(x44311),x44312)),f326(f18(f928(x44311,a916),x44311),f326(f280(x44311),x44312)))))
% 163.42/163.15 [4472]E(f326(f261(f921(x44721)),f326(f326(f9(f921(x44721),f928(x44721,a916),a916),f326(f326(f10(f928(x44721,a916),f928(f928(x44721,a916),a916),f921(x44721)),f234(f928(x44721,a916))),f172(x44721))),x44722)),f161(x44721,x44722))
% 163.42/163.15 [4483]E(f326(f156(f921(x44831),x44831,f113(x44831),f326(f326(f10(f921(x44831),f928(f921(x44831),f921(x44831)),x44831),f326(f9(f921(x44831),f921(x44831),f921(x44831)),f134(x44831))),f326(f326(f9(x44831,f921(x44831),f921(x44831)),f151(x44831)),f113(x44831)))),x44832),f326(f167(x44831),x44832))
% 163.42/163.15 [4524]P26(f928(x45241,x45242),f928(f927(x45241,x45242),a916),f326(f326(f10(f928(f927(x45241,x45242),a916),f928(f927(x45241,x45242),a916),f928(x45241,x45242)),f261(f927(x45241,x45242))),f326(f326(f10(f928(x45241,f928(x45242,a916)),f928(f927(x45241,x45242),a916),f928(x45241,x45242)),f256(x45241,x45242,a916)),f326(f10(x45242,f928(x45242,a916),x45241),f326(f9(x45242,x45242,a916),a323)))),f241(f928(f928(x45241,x45242),a916)))
% 163.42/163.15 [4529]E(f44(a1,f326(f103(a1),f326(f326(f79(a1),x45291),x45291)),f326(f103(a1),f326(f326(f79(a1),x45292),x45292))),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f44(a1,f326(f103(a1),x45291),f326(f103(a1),x45292))))
% 163.42/163.15 [4573]E(f326(f326(f39(x45731,f928(f927(x45731,x45731),a916)),x45732),f326(f326(f9(x45731,f928(f927(x45731,x45731),a916),f928(f927(x45731,x45731),a916)),f326(f326(f10(f927(x45731,x45731),f928(f928(f927(x45731,x45731),a916),f928(f927(x45731,x45731),a916)),x45731),f308(f927(x45731,x45731))),f326(f326(f20(x45731,x45731,f927(x45731,x45731)),f251(x45731,x45731)),f7(x45731)))),f189(f928(f927(x45731,x45731),a916)))),f262(x45731,x45732))
% 163.42/163.15 [4581]E(f203(x45811,f326(f326(f251(a1,a1),f326(f78(a1),f326(f326(f72(f927(a1,a1),a1,x45811,f250(a1,a1)),f213(x45811)),x45812))),f326(f326(f72(f927(a1,a1),a1,x45811,f255(a1,a1)),f213(x45811)),x45812))),f228(x45811,x45812))
% 163.42/163.15 [4662]E(f326(f261(f928(x46621,a916)),f326(f326(f10(f928(f928(x46621,a916),a916),a916,f928(x46621,a916)),f86(f928(x46621,a916))),f326(f326(f9(f928(x46621,a916),f928(f928(x46621,a916),a916),f928(f928(x46621,a916),a916)),f326(f326(f10(f928(f928(x46621,a916),f928(a916,a916)),f928(f928(f928(x46621,a916),a916),f928(f928(x46621,a916),a916)),f928(x46621,a916)),f20(f928(x46621,a916),a916,a916)),f326(f326(f10(f928(f928(x46621,a916),a916),f928(f928(x46621,a916),f928(a916,a916)),f928(x46621,a916)),f326(f10(a916,f928(a916,a916),f928(x46621,a916)),a324)),f326(f326(f9(f928(x46621,a916),f928(f928(x46621,a916),f928(x46621,a916)),f928(f928(x46621,a916),a916)),f326(f326(f10(f928(f928(x46621,a916),a916),f928(f928(f928(x46621,a916),f928(x46621,a916)),f928(f928(x46621,a916),a916)),f928(x46621,a916)),f10(f928(x46621,a916),a916,f928(x46621,a916))),a323)),f78(f928(x46621,a916)))))),f326(f326(f10(f928(f928(x46621,a916),a916),a916,f928(x46621,a916)),f326(f328(f928(x46621,a916)),x46622)),f307(x46621))))),f326(f307(x46621),f326(f78(f928(x46621,a916)),x46622)))
% 163.42/163.15 [4751]~E(f326(f326(f79(a1),x47511),x47511),f326(f326(f3(a1),f326(f326(f79(a1),x47512),x47512)),a97))
% 163.42/163.15 [4755]~P106(f326(f326(f235(a920),f326(f326(f79(a920),x47551),x47552)),x47552))
% 163.42/163.15 [4756]~P106(f326(f326(f235(a920),f326(f326(f79(a920),x47561),x47562)),x47561))
% 163.42/163.15 [4005]E(f326(f326(f3(a920),x40051),f326(f326(f80(a920),f326(f326(f35(a920),x40051),x40052)),x40052)),f44(a920,x40051,x40052))
% 163.42/163.15 [4006]E(f326(f326(f3(a1),x40061),f326(f326(f80(a1),f326(f326(f35(a1),x40061),x40062)),x40062)),f44(a1,x40061,x40062))
% 163.42/163.15 [4040]E(f326(f326(f154(a920,x40401),f326(f164(x40401),x40402)),f139(a920,f326(f301(a920,f2(a920)),f326(f190(f921(x40401)),x40402)))),x40402)
% 163.42/163.15 [4099]E(f326(f284(x40991,x40991,f306(x40991,f189(f928(f927(x40991,x40991),a916)))),x40992),x40992)
% 163.42/163.15 [4227]E(f306(x42271,f326(f326(f110(f928(f927(x42271,x42271),a916)),x42272),f306(x42271,f189(f928(f927(x42271,x42271),a916))))),f306(x42271,x42272))
% 163.42/163.15 [4228]E(f306(x42281,f326(f326(f3(f928(f927(x42281,x42281),a916)),x42282),f306(x42281,f189(f928(f927(x42281,x42281),a916))))),f306(x42281,x42282))
% 163.42/163.15 [4278]E(f326(f326(f3(a1),f326(f326(f3(a1),f326(f326(f79(a1),x42781),x42781)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x42782),x42782)),a97)),f326(f326(f79(a1),f326(f326(f3(a1),x42781),x42782)),f326(f326(f3(a1),x42781),x42782)))
% 163.42/163.15 [4318]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),x43181),x43182)),f326(f326(f79(a1),x43181),x43182))),a97),f326(f326(f79(a1),f326(f326(f79(a1),x43181),x43181)),f326(f326(f3(a1),f326(f326(f79(a1),x43182),x43182)),a97)))
% 163.42/163.15 [4343]E(f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43431),x43431)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x43432),x43432)),a97)),f326(f326(f79(a1),f326(f326(f79(a1),x43431),f326(f326(f3(a1),x43432),a97))),f326(f326(f79(a1),x43431),f326(f326(f3(a1),x43432),a97))))
% 163.42/163.15 [4354]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),x43541),x43542)),f326(f326(f3(a1),x43541),x43542))),a97),f326(f326(f3(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43541),x43541)),a97)),f326(f326(f79(a1),x43542),x43542)))
% 163.42/163.15 [4355]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),x43551),x43552)),f326(f326(f79(a1),x43551),x43552))),a97),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43551),x43551)),a97)),f326(f326(f79(a1),x43552),x43552)))
% 163.42/163.15 [4403]E(f326(f100(a1),f326(f326(f35(a920),f326(f326(f80(a920),f326(a104,f326(f75(a1),x44031))),f326(a104,f326(f75(a1),x44032)))),f217(f326(a104,f326(f75(a1),x44031)),f326(a104,f326(f75(a1),x44032))))),f219(x44031,x44032))
% 163.42/163.15 [4449]E(f326(f326(f258(f927(a99,a99),a99,f927(a99,a99),f927(x44491,f927(a99,a99))),f266(f326(a5,f326(f190(f921(x44491)),x44492)))),f326(f326(f10(x44491,f928(f927(a99,a99),f927(x44491,f927(a99,a99))),a99),f251(x44491,f927(a99,a99))),f326(f326(f10(a920,x44491,a99),f326(f164(x44491),x44492)),a22))),f274(x44491,x44492))
% 163.42/163.15 [4530]E(f326(f142(a920,f921(x45301),f326(f9(f921(x45301),a920,a920),f326(f326(f10(a920,f928(a920,a920),f921(x45301)),f233(a920)),f190(f921(x45301)))),f2(a920)),f326(f168(f921(x45301)),f179(x45301,x45302))),f326(f190(f921(f921(x45301))),f326(f136(f921(x45301),f326(f326(f10(a916,a916,f921(x45301)),a321),f326(f326(f9(f921(x45301),f921(x45301),a916),a323),f113(x45301)))),x45302)))
% 163.42/163.15 [4536]E(f326(f326(f39(a920,f928(x45361,a916)),f241(f928(a920,a916))),f326(f326(f9(a920,f928(a920,f928(x45361,a916)),f928(x45361,a916)),f326(f326(f10(f928(a920,a916),f928(f928(a920,f928(x45361,a916)),f928(x45361,a916)),a920),f39(a920,f928(x45361,a916))),f301(a920,f2(a920)))),x45362)),f326(f326(f39(a920,f928(x45361,a916)),f241(f928(a920,a916))),x45362))
% 163.42/163.15 [4558]P106(f326(f60(a920),f326(f261(a920),f326(f326(f20(a920,a916,a916),f326(f326(f10(a916,f928(a916,a916),a920),a324),x45581)),f326(f326(f9(a920,a920,a916),f235(a920)),x45582)))))
% 163.42/163.15 [4671]E(f326(f261(f927(f921(x46711),f921(x46711))),f326(f256(f921(x46711),f921(x46711),a916),f326(f326(f20(f921(x46711),f928(f921(x46711),a916),f928(f921(x46711),a916)),f326(f326(f10(f928(f921(x46711),f928(a916,a916)),f928(f928(f921(x46711),a916),f928(f921(x46711),a916)),f921(x46711)),f20(f921(x46711),a916,a916)),f326(f326(f10(f928(f921(x46711),a916),f928(f921(x46711),f928(a916,a916)),f921(x46711)),f326(f10(a916,f928(a916,a916),f921(x46711)),a325)),f326(f326(f9(f921(x46711),f928(f921(x46711),a920),f928(f921(x46711),a916)),f326(f326(f10(f928(a920,a916),f928(f928(f921(x46711),a920),f928(f921(x46711),a916)),f921(x46711)),f10(a920,a916,f921(x46711))),f326(f326(f10(a920,f928(a920,a916),f921(x46711)),f235(a920)),f190(f921(x46711))))),f190(f921(x46711)))))),f326(f326(f20(f921(x46711),f928(f921(x46711),a916),f928(f921(x46711),a916)),f326(f326(f10(f928(f921(x46711),f928(a916,a916)),f928(f928(f921(x46711),a916),f928(f921(x46711),a916)),f921(x46711)),f20(f921(x46711),a916,a916)),f326(f326(f10(f928(f921(x46711),a916),f928(f921(x46711),f928(a916,a916)),f921(x46711)),f326(f10(a916,f928(a916,a916),f921(x46711)),a324)),f326(f326(f9(f921(x46711),f928(f921(x46711),a920),f928(f921(x46711),a916)),f326(f326(f10(f928(a920,a916),f928(f928(f921(x46711),a920),f928(f921(x46711),a916)),f921(x46711)),f10(a920,a916,f921(x46711))),f326(f326(f10(a920,f928(a920,a916),f921(x46711)),a323),f190(f921(x46711))))),f190(f921(x46711)))))),f326(f326(f9(f921(x46711),f928(f927(f921(x46711),f921(x46711)),a916),f928(f921(x46711),a916)),f326(f326(f10(f928(f921(x46711),f928(f928(f927(f921(x46711),f921(x46711)),a916),a916)),f928(f928(f927(f921(x46711),f921(x46711)),a916),f928(f921(x46711),a916)),f921(x46711)),f9(f921(x46711),f928(f927(f921(x46711),f921(x46711)),a916),a916)),f326(f326(f10(f928(f921(x46711),f927(f921(x46711),f921(x46711))),f928(f921(x46711),f928(f928(f927(f921(x46711),f921(x46711)),a916),a916)),f921(x46711)),f326(f10(f927(f921(x46711),f921(x46711)),f928(f928(f927(f921(x46711),f921(x46711)),a916),a916),f921(x46711)),f328(f927(f921(x46711),f921(x46711))))),f251(f921(x46711),f921(x46711))))),f145(x46711,x46712)))))),f146(x46711,x46712))
% 163.42/163.15 [4346]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f80(a1),x43461),x43462)),f326(f326(f80(a1),x43461),x43462))),x43462),f326(f326(f80(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43461),x43461)),a97)),x43462))
% 163.42/163.15 [4448]E(f326(a104,f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x44481),x44482)),f189(f928(f927(a920,a920),a916)))))),f326(f326(f3(a920),x44481),x44482))
% 163.42/163.15 [4452]E(f326(f326(f288(x44521,x44521,x44521),f326(f326(f110(f928(f927(x44521,x44521),a916)),x44522),f306(x44521,f189(f928(f927(x44521,x44521),a916))))),f306(x44521,f326(f326(f110(f928(f927(x44521,x44521),a916)),x44522),f306(x44521,f189(f928(f927(x44521,x44521),a916)))))),f306(x44521,x44522))
% 163.42/163.15 [4489]E(f267(x44891,f326(f136(f927(a99,x44891),f326(f256(a99,x44891,a916),f326(f326(f10(a916,f928(x44891,a916),a99),f18(a916,x44891)),f326(f235(a99),f2(a99))))),x44892)),f267(x44891,x44892))
% 163.42/163.15 [4490]E(f265(x44901,f326(f136(f927(a99,x44901),f326(f256(a99,x44901,a916),f326(f326(f10(a916,f928(x44901,a916),a99),f18(a916,x44901)),f326(f235(a99),f2(a99))))),x44902)),f265(x44901,x44902))
% 163.42/163.15 [4492]E(f326(f78(a1),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x44921),x44922)),f189(f928(f927(a920,a920),a916)))))),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x44922),x44921)),f189(f928(f927(a920,a920),a916))))))
% 163.42/163.15 [4549]E(f326(f326(f287(f921(a920),x45491),f145(a920,a239)),f326(f326(f9(x45491,f921(f928(x45491,a920)),f921(a920)),f326(f326(f10(f928(f928(x45491,a920),a920),f928(f921(f928(x45491,a920)),f921(a920)),x45491),f154(f928(x45491,a920),a920)),f326(f9(f928(x45491,a920),x45491,a920),f7(f928(x45491,a920))))),x45492)),f153(x45491,x45492))
% 163.42/163.15 [4570]E(f326(f326(f85(a1,a920),f326(f103(a1),f326(f326(f79(a1),x45701),a97))),f326(f326(f20(a1,a920,a920),f326(f326(f9(a1,a920,f928(a920,a920)),f326(f326(f10(a916,f928(a920,f928(a920,a920)),a1),f96(a920)),a194)),f2(a920))),f326(f326(f10(a920,a920,a1),a112),f326(f326(f10(a920,a920,a1),f326(f188(a920),x45702)),a104)))),f326(f326(f188(a920),f326(a112,x45702)),f326(f103(a920),x45701)))
% 163.42/163.15 [4571]E(f326(f326(f85(a1,a920),f326(f103(a1),f326(f326(f79(a1),x45711),a97))),f326(f326(f20(a1,a920,a920),f326(f326(f9(a1,a920,f928(a920,a920)),f326(f326(f10(a916,f928(a920,f928(a920,a920)),a1),f96(a920)),a194)),f326(a112,x45712))),f326(f326(f10(a920,a920,a1),a112),f326(f326(f10(a920,a920,a1),f326(f233(a920),x45712)),a104)))),f326(f326(f233(a920),f326(a112,x45712)),f326(f103(a920),x45711)))
% 163.42/163.15 [4591]E(f326(f142(f921(x45911),f921(x45911),f134(x45911),f113(x45911)),f326(f326(f154(f921(x45911),f921(x45911)),f156(f921(x45911),x45911,f113(x45911),f326(f326(f10(f921(x45911),f928(f921(x45911),f921(x45911)),x45911),f18(f921(x45911),f921(x45911))),f326(f326(f9(x45911,f921(x45911),f921(x45911)),f151(x45911)),f113(x45911))))),x45912)),f326(f326(f154(f921(x45911),x45911),f141(x45911)),f326(f136(f921(x45911),f326(f326(f10(a916,a916,f921(x45911)),a321),f326(f326(f9(f921(x45911),f921(x45911),a916),a323),f113(x45911)))),x45912)))
% 163.42/163.15 [4653]E(f326(f256(a1,a1,a916),f326(f326(f9(a1,f928(a1,a916),f928(a1,a916)),f326(f326(f10(f928(a1,f928(a916,a916)),f928(f928(a1,a916),f928(a1,a916)),a1),f20(a1,a916,a916)),f326(f326(f10(f928(a1,a916),f928(a1,f928(a916,a916)),a1),f326(f10(a916,f928(a916,a916),a1),a324)),f326(f326(f10(f928(a1,a1),f928(a1,a916),a1),f326(f10(a1,a916,a1),f326(a323,x46531))),f326(f326(f10(a1,f928(a1,a1),a1),f79(a1)),f326(f80(a1),x46532)))))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f326(f10(a916,a916,a1),f326(a329,f326(f326(f235(a1),f2(a1)),x46532))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f234(a1),f2(a1)))),f326(f326(f9(a1,a1,a916),f235(a1)),x46532))))),f326(f326(f10(a916,a916,a1),f326(a329,f326(a321,f326(f326(f235(a1),f2(a1)),x46532)))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f235(a1),x46532))),f326(f326(f9(a1,a1,a916),f234(a1)),f2(a1))))))),f48(x46531,x46532))
% 163.42/163.15 [4656]E(f326(f261(x46561),f326(f326(f10(f928(a920,a916),a916,x46561),f86(a920)),f326(f326(f9(x46561,f928(a920,a916),f928(a920,a916)),f326(f326(f10(f928(a920,f928(a916,a916)),f928(f928(a920,a916),f928(a920,a916)),x46561),f20(a920,a916,a916)),f326(f326(f10(f928(a920,a916),f928(a920,f928(a916,a916)),x46561),f326(f10(a916,f928(a916,a916),a920),a324)),f326(f326(f9(x46561,f928(a920,x46561),f928(a920,a916)),f326(f326(f10(f928(x46561,a916),f928(f928(a920,x46561),f928(a920,a916)),x46561),f10(x46561,a916,a920)),a323)),f326(f164(x46561),x46562))))),f326(f326(f9(a920,a920,a916),f235(a920)),f326(f190(f921(x46561)),x46562))))),f326(f172(x46561),x46562))
% 163.42/163.15 [4462]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x44621),a97)),x44622)),f326(f326(f3(a1),f326(f326(f79(a1),x44621),a97)),x44622))),a97),f326(f326(f3(a1),f326(f326(f79(a1),x44621),x44621)),f326(f326(f3(a1),f326(f326(f79(a1),x44622),x44622)),a97)))
% 163.42/163.15 [4586]E(f326(f142(f921(f921(x45861)),f921(f921(x45861)),f134(f921(x45861)),f113(f921(x45861))),f326(f326(f154(f921(x45861),f921(f921(x45861))),f156(f921(f921(x45861)),x45861,f113(f921(x45861)),f326(f18(f928(f921(x45861),f921(f921(x45861))),x45861),f326(f326(f9(f921(x45861),f921(f921(x45861)),f921(f921(x45861))),f151(f921(x45861))),f113(f921(x45861)))))),x45862)),f326(f326(f154(f921(x45861),f921(x45861)),f171(x45861)),f326(f136(f921(x45861),f326(f326(f10(a916,a916,f921(x45861)),a321),f326(f326(f9(f921(x45861),f921(x45861),a916),a323),f113(x45861)))),x45862)))
% 163.42/163.15 [4596]E(f326(f326(f85(a1,a920),f326(f103(a1),f326(f326(f79(a1),x45961),a97))),f326(f326(f20(a1,a920,a920),f326(f326(f9(a1,a920,f928(a920,a920)),f326(f326(f10(a916,f928(a920,f928(a920,a920)),a1),f96(a920)),a194)),f2(a920))),f326(f326(f10(a920,a920,a1),a112),f326(f326(f9(a1,a920,a920),f326(f326(f10(a920,f928(a920,a920),a1),f188(a920)),a104)),x45962)))),f326(f326(f188(a920),f326(f103(a920),x45961)),f326(a112,x45962)))
% 163.42/163.15 [4597]E(f326(f326(f85(a1,a920),f326(f103(a1),f326(f326(f79(a1),x45971),a97))),f326(f326(f20(a1,a920,a920),f326(f326(f9(a1,a920,f928(a920,a920)),f326(f326(f10(a916,f928(a920,f928(a920,a920)),a1),f96(a920)),a194)),f326(a112,x45972))),f326(f326(f10(a920,a920,a1),a112),f326(f326(f9(a1,a920,a920),f326(f326(f10(a920,f928(a920,a920),a1),f233(a920)),a104)),x45972)))),f326(f326(f233(a920),f326(f103(a920),x45971)),f326(a112,x45972)))
% 163.42/163.15 [4585]E(f326(f256(x45851,x45851,a916),f326(f326(f20(x45851,a916,f928(x45851,a916)),f326(f326(f10(f928(x45851,f928(a916,a916)),f928(a916,f928(x45851,a916)),x45851),f9(x45851,a916,a916)),f326(f326(f10(f928(x45851,a916),f928(x45851,f928(a916,a916)),x45851),f326(f10(a916,f928(a916,a916),x45851),a324)),a323))),x45852)),f262(x45851,x45852))
% 163.42/163.15 [4630]E(f326(f326(f35(a920),x46301),f326(f326(f79(a920),f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46302)),f326(f326(f35(a920),x46301),f326(a112,f326(a112,f326(a112,x46302)))))
% 163.42/163.15 [4631]E(f44(a920,x46311,f326(f326(f79(a920),f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46312)),f44(a920,x46311,f326(a112,f326(a112,f326(a112,x46312)))))
% 163.42/163.15 [4632]E(f44(a920,f326(f326(f79(a920),f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46321),x46322),f44(a920,f326(a112,f326(a112,f326(a112,x46321))),x46322))
% 163.42/163.15 [4644]E(f123(f326(x46441,f326(f326(f80(a99),f326(f103(a99),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46442))),f326(f201(x46441),x46442))
% 163.42/163.15 [4645]E(f326(f326(f35(a920),f326(f326(f79(a920),f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46451)),x46452),f326(f326(f35(a920),f326(a112,f326(a112,f326(a112,x46451)))),x46452))
% 163.42/163.15 [4703]~E(f27(x47031,x47032,x47033),a25)
% 163.42/163.15 [4704]~E(f26(x47041,x47042,x47043),a25)
% 163.42/163.15 [4708]~E(f126(x47081,x47082,x47083),f119(x47081))
% 163.42/163.15 [3435]E(f326(f193(x34351,x34352),x34353),f121(x34351,x34352))
% 163.42/163.15 [3454]E(f326(f200(x34541,x34542),x34543),f326(f129(x34541),x34542))
% 163.42/163.15 [3530]E(f326(f326(f154(x35301,x35302),x35303),f113(x35301)),f113(x35302))
% 163.42/163.15 [3570]E(f326(f184(x35701,x35702,x35703),f2(a920)),x35702)
% 163.42/163.15 [3572]E(f326(f326(f181(x35721,x35722),x35723),f113(x35722)),f113(f927(x35721,x35722)))
% 163.42/163.15 [3587]E(f326(f190(f921(x35871)),f169(x35871,x35872,x35873)),x35872)
% 163.42/163.15 [3606]E(f84(x36061,f61(x36061,x36062,x36063)),f326(f62(x36061,x36062),x36063))
% 163.42/163.15 [3610]E(f242(x36101,x36102,f242(x36102,x36101,x36103)),x36103)
% 163.42/163.15 [3630]E(f326(f168(x36301),f169(x36301,x36302,x36303)),f169(x36301,x36302,x36303))
% 163.42/163.15 [3657]E(f140(x36571,x36572,f152(x36571,x36573)),f152(x36571,f140(x36571,x36572,x36573)))
% 163.42/163.15 [3676]E(f326(f250(f921(x36761),f921(x36761)),f166(x36761,x36762,x36763)),f326(f136(x36761,x36762),x36763))
% 163.42/163.15 [3719]E(f326(f326(f151(x37191),x37192),f169(x37191,x37193,x37192)),f169(x37191,f326(a112,x37193),x37192))
% 163.42/163.15 [3751]E(f19(x37511,x37512,x37513,f2(a99)),x37512)
% 163.42/163.15 [3752]E(f185(x37521,x37522,x37523,f2(a920)),x37522)
% 163.42/163.15 [3753]E(f21(x37531,x37532,x37533,f2(a99)),x37532)
% 163.42/163.15 [3760]E(f163(x37601,x37602,x37603,f113(x37601)),f113(x37602))
% 163.42/163.15 [3761]E(f130(x37611,x37612,x37613,f119(x37611)),f119(x37612))
% 163.42/163.15 [3767]E(f326(f326(f164(x37671),f326(f326(f151(x37671),x37672),x37673)),f2(a920)),x37672)
% 163.42/163.15 [3797]E(f58(x37971,x37972,f113(x37971),x37973),f113(f927(x37971,x37972)))
% 163.42/163.15 [3818]P26(x38181,x38182,x38183,f189(f928(x38181,a916)))
% 163.42/163.15 [3921]E(f264(x39211,x39212,x39213),f326(f251(f928(a99,f928(a916,f924(f922(x39211)))),f927(a99,a99)),f40(x39211)))
% 163.42/163.15 [3979]E(f326(f72(x39791,x39792,x39791,x39793),f31(x39791)),x39793)
% 163.42/163.15 [4160]P106(f326(f326(f328(f927(x41601,x41601)),f326(f326(f251(x41601,x41601),x41602),x41602)),f306(x41601,x41603)))
% 163.42/163.15 [4760]~P106(f326(f326(f328(f927(f921(x47601),f921(x47601))),f326(f326(f251(f921(x47601),f921(x47601)),x47602),f113(x47601))),f145(x47601,x47603)))
% 163.42/163.15 [4761]~P106(f326(f326(f328(f927(f921(x47611),f921(x47611))),f326(f326(f251(f921(x47611),f921(x47611)),x47612),f113(x47611))),f147(x47611,x47613)))
% 163.42/163.15 [4762]~P106(f326(f326(f328(f927(f921(x47621),f921(x47621))),f326(f326(f251(f921(x47621),f921(x47621)),x47622),f113(x47621))),f157(x47621,x47623)))
% 163.42/163.15 [4763]~P106(f326(f326(f328(f927(f921(x47631),f921(x47631))),f326(f326(f251(f921(x47631),f921(x47631)),f113(x47631)),x47632)),f145(x47631,x47633)))
% 163.42/163.15 [4764]~P106(f326(f326(f328(f927(f921(x47641),f921(x47641))),f326(f326(f251(f921(x47641),f921(x47641)),f113(x47641)),x47642)),f157(x47641,x47643)))
% 163.42/163.15 [3505]E(f326(f326(f202(x35051),x35052),x35053),f203(x35051,f216(x35052,x35053)))
% 163.42/163.15 [3559]E(f326(f285(x35591,x35592),f326(f285(x35592,x35591),x35593)),x35593)
% 163.42/163.15 [3582]E(f326(f326(f181(x35821,x35822),f113(x35821)),x35823),f113(f927(x35821,x35822)))
% 163.42/163.15 [3585]E(f176(x35851,x35852,f326(f281(a920),x35853)),f326(f326(f175(x35851),x35853),x35852))
% 163.42/163.15 [3603]E(f152(x36031,f326(f136(x36031,x36032),x36033)),f326(f136(x36031,x36032),f152(x36031,x36033)))
% 163.42/163.15 [3604]E(f326(f283(x36041,x36042),f326(f285(x36042,x36041),x36043)),f326(f263(x36042,x36041),x36043))
% 163.42/163.15 [3605]E(f326(f263(x36051,x36052),f326(f285(x36052,x36051),x36053)),f326(f283(x36052,x36051),x36053))
% 163.42/163.15 [3623]E(f326(f136(x36231,x36232),f326(f168(x36231),x36233)),f326(f168(x36231),f326(f136(x36231,x36232),x36233)))
% 163.42/163.15 [3636]E(f326(f326(f138(x36361),x36362),f326(f171(x36361),x36363)),f326(f326(f138(x36361),f326(a112,x36362)),x36363))
% 163.42/163.15 [3652]E(f28(f26(x36521,x36522,x36523)),f326(f326(f79(a920),f28(x36523)),f326(a112,f2(a920))))
% 163.42/163.15 [3653]E(f326(f310(x36531,x36532,x36533),f189(f928(x36532,a916))),f189(f928(x36531,a916)))
% 163.42/163.15 [3654]E(f326(f310(x36541,x36542,x36543),f241(f928(x36542,a916))),f241(f928(x36541,a916)))
% 163.42/163.15 [3655]E(f326(f284(x36551,x36552,x36553),f189(f928(x36551,a916))),f189(f928(x36552,a916)))
% 163.42/163.15 [3656]E(f326(f309(x36561,x36562,x36563),f189(f928(x36561,a916))),f189(f928(x36562,a916)))
% 163.42/163.15 [3682]E(f120(x36821,f126(f922(x36821),x36822,x36823)),f116(x36821,x36822,f120(x36821,x36823)))
% 163.42/163.15 [3684]E(f326(f326(f308(x36841),x36842),f326(f172(x36841),x36843)),f326(f172(x36841),f140(x36841,x36842,x36843)))
% 163.42/163.15 [3771]E(f326(f190(a917),f26(x37711,x37712,x37713)),f326(f326(f79(a920),f326(f190(a917),x37713)),f326(a112,f2(a920))))
% 163.42/163.15 [3772]E(f326(f309(f927(x37721,x37722),x37722,f255(x37721,x37722)),x37723),f326(f283(x37721,x37722),x37723))
% 163.42/163.15 [3773]E(f326(f309(f927(x37731,x37732),x37731,f250(x37731,x37732)),x37733),f326(f263(x37731,x37732),x37733))
% 163.42/163.15 [3789]E(f326(f172(x37891),f169(x37891,f326(a112,x37892),x37893)),f326(f326(f308(x37891),x37893),f189(f928(x37891,a916))))
% 163.42/163.15 [3847]E(f326(f326(f251(x38471,x38472),f326(f250(x38471,x38472),x38473)),f326(f255(x38471,x38472),x38473)),x38473)
% 163.42/163.15 [3854]E(f326(f190(f922(x38541)),f126(x38541,x38542,x38543)),f326(f326(f79(a920),f326(f190(f922(x38541)),x38543)),f326(a112,f2(a920))))
% 163.42/163.15 [3856]E(f326(f326(f256(x38561,x38562,x38561),f18(x38561,x38562)),x38563),f326(f250(x38561,x38562),x38563))
% 163.42/163.15 [3934]E(f28(f27(x39341,x39342,x39343)),f326(f326(f79(a920),f326(f326(f79(a920),f28(x39342)),f28(x39343))),f326(a112,f2(a920))))
% 163.42/163.15 [3984]E(f326(f72(x39841,x39841,x39842,f31(x39841)),x39843),x39843)
% 163.42/163.15 [3991]E(f326(f326(f134(x39911),f169(x39911,x39912,x39913)),f326(f326(f151(x39911),x39913),f113(x39911))),f326(f326(f151(x39911),x39913),f169(x39911,x39912,x39913)))
% 163.42/163.15 [4093]E(f326(f190(a917),f27(x40931,x40932,x40933)),f326(f326(f79(a920),f326(f326(f79(a920),f326(f190(a917),x40932)),f326(f190(a917),x40933))),f326(a112,f2(a920))))
% 163.42/163.15 [4169]P106(f326(f326(f234(f928(x41691,a916)),f326(f172(x41691),f326(f136(x41691,x41692),x41693))),f326(f172(x41691),x41693)))
% 163.42/163.15 [4213]P106(f326(f326(f234(f928(x42131,a916)),f326(f172(x42131),f326(f326(f175(x42131),x42132),x42133))),f326(f172(x42131),x42133)))
% 163.42/163.15 [4214]P106(f326(f326(f234(f928(x42141,a916)),f326(f172(x42141),f326(f326(f138(x42141),x42142),x42143))),f326(f172(x42141),x42143)))
% 163.42/163.15 [4218]P106(f326(f326(f234(f928(x42181,a916)),f326(f172(x42181),f176(x42181,x42182,x42183))),f326(f172(x42181),x42182)))
% 163.42/163.15 [4219]P106(f326(f326(f234(f928(x42191,a916)),f326(f172(x42191),f170(x42191,x42192,x42193))),f326(f172(x42191),x42193)))
% 163.42/163.15 [4240]P26(f927(x42401,x42402),f927(x42402,x42401),f326(f256(x42401,x42402,f927(x42402,x42401)),f326(f9(x42402,x42401,f927(x42402,x42401)),f251(x42402,x42401))),x42403)
% 163.42/163.15 [4251]E(f326(f326(f326(f183(f921(x42511),f921(x42511)),f44(a920,x42512,f326(f190(f921(x42511)),x42513))),f167(x42511)),x42513),f326(f326(f326(f183(f921(x42511),f921(x42511)),x42512),f167(x42511)),x42513))
% 163.42/163.15 [4295]P106(f326(f326(f328(f927(f921(x42951),f921(x42951))),f326(f326(f251(f921(x42951),f921(x42951)),x42952),x42952)),f158(x42951,f306(x42951,x42953))))
% 163.42/163.15 [4435]E(f84(f927(x44351,x44352),f326(f326(f20(f927(x44351,x44352),x44352,a916),f326(f326(f10(x44351,f928(x44352,a916),f927(x44351,x44352)),x44353),f250(x44351,x44352))),f255(x44351,x44352))),f84(f927(x44351,x44352),f326(f256(x44351,x44352,a916),x44353)))
% 163.42/163.15 [4436]E(f89(f927(x44361,x44362),f326(f326(f20(f927(x44361,x44362),x44362,a916),f326(f326(f10(x44361,f928(x44362,a916),f927(x44361,x44362)),x44363),f250(x44361,x44362))),f255(x44361,x44362))),f89(f927(x44361,x44362),f326(f256(x44361,x44362,a916),x44363)))
% 163.42/163.15 [4469]E(f326(f326(f287(f927(a920,x44691),x44691),f318(a920,x44691,a239,x44692)),f326(f326(f20(x44691,x44691,f927(a920,x44691)),f326(f326(f10(a920,f928(x44691,f927(a920,x44691)),x44691),f251(a920,x44691)),x44693)),f7(x44691))),f320(x44691,x44693,x44692))
% 163.42/163.15 [4532]E(f326(f257(x45321,x45321,x45322,x45322,f7(x45321),f7(x45322)),x45323),x45323)
% 163.42/163.15 [4605]E(f326(f142(f921(f921(x46051)),f921(f921(x46051)),f134(f921(x46051)),f113(f921(x46051))),f326(f326(f154(f921(x46051),f921(f921(x46051))),f326(f326(f9(f921(x46051),f921(x46051),f921(f921(x46051))),f326(f326(f10(f928(x46051,f921(x46051)),f928(f921(x46051),f921(f921(x46051))),f921(x46051)),f154(x46051,f921(x46051))),f326(f9(x46051,f921(x46051),f921(x46051)),f151(x46051)))),x46052)),f54(x46051,x46053,x46052))),f54(x46051,f326(a112,x46053),x46052))
% 163.42/163.15 [4661]E(f224(a920,f927(x46611,f922(x46611)),f2(a920),f326(f256(x46611,f922(x46611),a920),f326(f326(f9(x46611,a920,f928(f922(x46611),a920)),f326(f326(f10(f928(f922(x46611),f928(a920,a920)),f928(a920,f928(f922(x46611),a920)),x46611),f9(f922(x46611),a920,a920)),f326(f326(f10(f928(f922(x46611),a920),f928(f922(x46611),f928(a920,a920)),x46611),f326(f10(a920,f928(a920,a920),f922(x46611)),f79(a920))),f326(f326(f9(x46611,f928(f922(x46611),a920),f928(f922(x46611),a920)),f326(f326(f10(f928(a920,a920),f928(f928(f922(x46611),a920),f928(f922(x46611),a920)),x46611),f10(a920,a920,f922(x46611))),f326(f326(f10(a920,f928(a920,a920),x46611),f79(a920)),x46612))),f125(x46611,x46612))))),f77(a920))),f326(f135(x46611),x46613)),f326(f125(x46611,x46612),x46613))
% 163.42/163.15 [4670]E(f326(f326(f85(a1,x46701),f219(f326(f326(f72(f927(a1,a1),a1,x46701,f255(a1,a1)),f213(x46701)),x46702),f326(f326(f72(f927(a1,a1),a1,x46701,f255(a1,a1)),f213(x46701)),x46703))),f326(f326(f20(a1,a1,x46701),f326(f326(f10(a1,f928(a1,x46701),a1),f202(x46701)),f326(f326(f20(a1,a1,a1),f326(f326(f10(a1,f928(a1,a1),a1),f79(a1)),f326(f326(f10(a1,a1,a1),f326(f80(a1),f326(f326(f72(f927(a1,a1),a1,x46701,f250(a1,a1)),f213(x46701)),x46702))),f326(f326(f9(a1,a1,a1),f35(a1)),f326(f326(f72(f927(a1,a1),a1,x46701,f255(a1,a1)),f213(x46701)),x46702))))),f326(f326(f10(a1,a1,a1),f326(f80(a1),f326(f326(f72(f927(a1,a1),a1,x46701,f250(a1,a1)),f213(x46701)),x46703))),f326(f326(f9(a1,a1,a1),f35(a1)),f326(f326(f72(f927(a1,a1),a1,x46701,f255(a1,a1)),f213(x46701)),x46703)))))),f7(a1))),f231(x46701,x46702,x46703))
% 163.42/163.15 [4699]~E(f326(f326(f151(x46991),x46992),x46993),x46993)
% 163.42/163.15 [4706]~E(f326(f326(f151(x47061),x47062),x47063),f113(x47061))
% 163.42/163.15 [4720]~E(f326(f326(f308(x47201),x47202),x47203),f189(f928(x47201,a916)))
% 163.42/163.15 [4742]~E(f326(f309(x47421,f928(x47421,a916),x47422),x47423),f326(f307(x47421),x47423))
% 163.42/163.15 [3564]E(f326(f326(f159(x35641,f113(x35641)),x35642),x35643),f113(x35641))
% 163.42/163.15 [3565]E(f326(f141(x35651),f326(f326(f151(x35651),x35652),x35653)),x35652)
% 163.42/163.15 [3566]E(f326(f171(x35661),f326(f326(f151(x35661),x35662),x35663)),x35663)
% 163.42/163.15 [3609]E(f326(f326(f138(x36091),f77(a920)),f326(f326(f151(x36091),x36092),x36093)),x36093)
% 163.42/163.15 [3643]E(f114(x36431,f326(f326(f138(x36431),x36432),x36433)),f326(f326(f138(x36431),x36432),f114(x36431,x36433)))
% 163.42/163.15 [3645]E(f326(f326(f159(x36451,x36452),x36453),f326(f326(f164(x36451),x36452),x36453)),x36452)
% 163.42/163.15 [3666]E(f326(f326(f308(x36661),x36662),f326(f326(f308(x36661),x36662),x36663)),f326(f326(f308(x36661),x36662),x36663))
% 163.42/163.15 [3679]E(f326(f326(f308(x36791),x36792),f326(f172(x36791),x36793)),f326(f172(x36791),f326(f326(f151(x36791),x36792),x36793)))
% 163.42/163.15 [3681]E(f326(f326(f138(x36811),x36812),f326(f171(x36811),x36813)),f326(f171(x36811),f326(f326(f138(x36811),x36812),x36813)))
% 163.42/163.15 [3693]E(f326(f326(f175(x36931),f77(a920)),f326(f326(f151(x36931),x36932),x36933)),f326(f326(f151(x36931),x36932),f113(x36931)))
% 163.42/163.15 [3736]E(f326(f62(x37361,x37362),f326(f326(f308(x37361),x37363),f189(f928(x37361,a916)))),x37363)
% 163.42/163.15 [3779]E(f326(f326(f79(a920),x37791),f326(f326(f79(a920),x37792),x37793)),f326(f326(f79(a920),x37792),f326(f326(f79(a920),x37791),x37793)))
% 163.42/163.15 [3780]E(f326(f326(f79(a1),x37801),f326(f326(f79(a1),x37802),x37803)),f326(f326(f79(a1),x37802),f326(f326(f79(a1),x37801),x37803)))
% 163.42/163.15 [3785]E(f326(f326(f253(x37851,x37852),f189(f928(x37851,a916))),x37853),f189(f928(f927(x37851,x37852),a916)))
% 163.42/163.15 [3810]E(f326(f326(f110(f928(x38101,a916)),x38102),x38103),f326(f326(f110(f928(x38101,a916)),x38103),x38102))
% 163.42/163.15 [3811]E(f326(f326(f101(f928(x38111,a916)),x38112),x38113),f326(f326(f101(f928(x38111,a916)),x38113),x38112))
% 163.42/163.15 [3813]E(f326(f326(f134(x38131),x38132),f326(f326(f151(x38131),x38133),f113(x38131))),f326(f167(x38131),f326(f326(f151(x38131),x38133),x38132)))
% 163.42/163.15 [3814]E(f326(f326(f134(x38141),f326(f168(x38141),x38142)),f326(f168(x38141),x38143)),f326(f168(x38141),f326(f326(f134(x38141),x38143),x38142)))
% 163.42/163.15 [3824]E(f326(f171(x38241),f326(f326(f175(x38241),f326(a112,x38242)),x38243)),f326(f326(f175(x38241),x38242),f326(f171(x38241),x38243)))
% 163.42/163.15 [3832]P106(f326(f326(f328(x38321),x38322),f326(f326(f308(x38321),x38322),x38323)))
% 163.42/163.15 [3836]E(f326(f326(f38(x38361,f928(x38362,a916)),f189(f928(x38361,a916))),x38363),f241(f928(x38362,a916)))
% 163.42/163.15 [3839]E(f326(f284(x38391,x38391,f262(x38391,x38392)),x38393),f326(f326(f101(f928(x38391,a916)),x38392),x38393))
% 163.42/163.15 [3853]E(f326(f190(f921(x38531)),f326(f326(f151(x38531),x38532),x38533)),f326(f326(f79(a920),f326(f190(f921(x38531)),x38533)),f326(a112,f2(a920))))
% 163.42/163.15 [3858]E(f114(x38581,f326(f326(f134(x38581),x38582),f326(f326(f151(x38581),x38583),f113(x38581)))),x38582)
% 163.42/163.15 [3859]E(f144(x38591,f326(f326(f134(x38591),x38592),f326(f326(f151(x38591),x38593),f113(x38591)))),x38593)
% 163.42/163.15 [3868]E(f326(f326(f134(x38681),f326(f326(f175(x38681),x38682),x38683)),f326(f326(f138(x38681),x38682),x38683)),x38683)
% 163.42/163.15 [3877]E(f326(f326(f3(a920),f326(f326(f79(a920),x38771),x38772)),f326(f326(f79(a920),x38773),x38772)),f326(f326(f3(a920),x38771),x38773))
% 163.42/163.15 [3878]E(f326(f326(f3(a920),f326(f326(f79(a920),x38781),x38782)),f326(f326(f79(a920),x38781),x38783)),f326(f326(f3(a920),x38782),x38783))
% 163.42/163.15 [3884]E(f326(f326(f134(x38841),f326(f168(x38841),x38842)),f326(f326(f151(x38841),x38843),f113(x38841))),f326(f168(x38841),f326(f326(f151(x38841),x38843),x38842)))
% 163.42/163.15 [3886]E(f326(f326(f79(a920),f326(f190(f921(x38861)),x38862)),f326(f190(f921(x38861)),x38863)),f326(f190(f921(x38861)),f326(f326(f134(x38861),x38862),x38863)))
% 163.42/163.15 [3889]E(f326(f326(f79(a920),f326(f190(f921(x38891)),x38892)),f326(f190(f921(x38891)),x38893)),f326(f190(f921(x38891)),f173(x38891,x38892,x38893)))
% 163.42/163.15 [3896]E(f326(f326(f110(f928(x38961,a916)),f326(f172(x38961),x38962)),f326(f172(x38961),x38963)),f326(f172(x38961),f326(f326(f134(x38961),x38962),x38963)))
% 163.42/163.15 [3897]E(f44(a920,f326(f326(f80(a920),x38971),x38972),f326(f326(f80(a920),x38971),x38973)),f326(f326(f80(a920),x38971),f44(a920,x38972,x38973)))
% 163.42/163.15 [3909]E(f326(f326(f175(x39091),f326(f326(f3(a920),x39092),f77(a920))),f326(f171(x39091),x39093)),f326(f171(x39091),f326(f326(f175(x39091),x39092),x39093)))
% 163.42/163.15 [3914]E(f326(f326(f101(f928(x39141,a916)),x39142),f326(f78(f928(x39141,a916)),x39143)),f326(f326(f3(f928(x39141,a916)),x39142),x39143))
% 163.42/163.15 [3915]E(f326(f326(f3(f928(x39151,a916)),x39152),f326(f78(f928(x39151,a916)),x39153)),f326(f326(f101(f928(x39151,a916)),x39152),x39153))
% 163.42/163.15 [3938]E(f326(f326(f253(x39381,x39382),x39383),f326(f18(f928(x39382,a916),x39381),f189(f928(x39382,a916)))),f189(f928(f927(x39381,x39382),a916)))
% 163.42/163.15 [3940]E(f326(f326(f3(a920),f326(f326(f80(a920),x39401),x39402)),f326(f326(f80(a920),x39401),x39403)),f326(f326(f80(a920),x39401),f326(f326(f3(a920),x39402),x39403)))
% 163.42/163.15 [3941]E(f326(f326(f79(a920),f326(f326(f80(a920),x39411),x39412)),f326(f326(f80(a920),x39411),x39413)),f326(f326(f80(a920),x39411),f326(f326(f79(a920),x39412),x39413)))
% 163.42/163.15 [3942]E(f326(f326(f3(a1),f326(f326(f80(a1),x39421),x39422)),f326(f326(f80(a1),x39421),x39423)),f326(f326(f80(a1),x39421),f326(f326(f3(a1),x39422),x39423)))
% 163.42/163.15 [3943]E(f326(f326(f79(a1),f326(f326(f80(a1),x39431),x39432)),f326(f326(f80(a1),x39431),x39433)),f326(f326(f80(a1),x39431),f326(f326(f79(a1),x39432),x39433)))
% 163.42/163.15 [3944]E(f326(f326(f80(a1),f326(f326(f243(a1),x39441),x39442)),f326(f326(f243(a1),x39441),x39443)),f326(f326(f243(a1),x39441),f326(f326(f79(a920),x39442),x39443)))
% 163.42/163.15 [3958]E(f326(f326(f39(x39581,f928(x39582,a916)),x39583),f326(f18(f928(x39582,a916),x39581),f189(f928(x39582,a916)))),f189(f928(x39582,a916)))
% 163.42/163.15 [3960]E(f44(a920,f326(f326(f80(a920),x39601),x39602),f326(f326(f80(a920),x39603),x39602)),f326(f326(f80(a920),f44(a920,x39601,x39603)),x39602))
% 163.42/163.15 [3965]E(f44(a1,f326(f326(f3(a1),x39651),f44(a1,x39652,x39653)),x39653),f44(a1,f326(f326(f3(a1),x39651),x39652),x39653))
% 163.42/163.15 [3966]E(f44(a1,f326(f326(f80(a1),x39661),f44(a1,x39662,x39663)),x39663),f44(a1,f326(f326(f80(a1),x39661),x39662),x39663))
% 163.42/163.15 [3967]P106(f326(f326(f234(f928(x39671,a916)),x39672),f326(f326(f308(x39671),x39673),x39672)))
% 163.42/163.15 [4044]E(f326(f326(f38(f928(x40441,a916),f928(x40441,a916)),x40442),f326(f110(f928(x40441,a916)),x40443)),f326(f326(f110(f928(x40441,a916)),x40443),f37(f928(x40441,a916),x40442)))
% 163.42/163.15 [4045]E(f326(f326(f39(f928(x40451,a916),f928(x40451,a916)),x40452),f326(f101(f928(x40451,a916)),x40453)),f326(f326(f101(f928(x40451,a916)),x40453),f36(f928(x40451,a916),x40452)))
% 163.42/163.15 [4057]E(f326(f172(x40571),f326(f326(f326(f183(f921(x40571),f921(x40571)),x40572),f167(x40571)),x40573)),f326(f172(x40571),x40573))
% 163.42/163.15 [4061]E(f326(f326(f175(x40611),f326(f190(f921(x40611)),f177(x40611,x40612,x40613))),x40613),f177(x40611,x40612,x40613))
% 163.42/163.15 [4065]E(f326(f190(f921(x40651)),f326(f326(f326(f183(f921(x40651),f921(x40651)),x40652),f167(x40651)),x40653)),f326(f190(f921(x40651)),x40653))
% 163.42/163.15 [4068]E(f326(f326(f256(x40681,x40682,x40682),f326(f18(f928(x40682,x40682),x40681),f7(x40682))),x40683),f326(f255(x40681,x40682),x40683))
% 163.42/163.15 [4075]E(f44(a1,f326(f326(f3(a1),f44(a1,x40751,x40752)),x40753),x40752),f44(a1,f326(f326(f3(a1),x40751),x40753),x40752))
% 163.42/163.15 [4076]E(f44(a1,f326(f326(f243(a1),f44(a1,x40761,x40762)),x40763),x40762),f44(a1,f326(f326(f243(a1),x40761),x40763),x40762))
% 163.42/163.15 [4079]E(f326(f326(f39(f928(f927(x40791,x40792),a916),f928(x40792,a916)),x40793),f283(x40791,x40792)),f326(f283(x40791,x40792),f36(f928(f927(x40791,x40792),a916),x40793)))
% 163.42/163.15 [4080]E(f326(f326(f39(f928(f927(x40801,x40802),a916),f928(x40801,a916)),x40803),f263(x40801,x40802)),f326(f263(x40801,x40802),f36(f928(f927(x40801,x40802),a916),x40803)))
% 163.42/163.15 [4104]E(f326(f72(x41041,x41041,x41041,x41042),f326(f326(f183(x41041,x41041),x41043),x41042)),f326(f326(f183(x41041,x41041),f326(a112,x41043)),x41042))
% 163.42/163.15 [4122]E(f326(f326(f138(x41221),f326(f326(f3(a920),f326(f190(f921(x41221)),x41222)),x41223)),f326(f168(x41221),x41222)),f326(f168(x41221),f326(f326(f175(x41221),x41223),x41222)))
% 163.42/163.15 [4123]E(f326(f326(f175(x41231),f326(f326(f3(a920),f326(f190(f921(x41231)),x41232)),x41233)),f326(f168(x41231),x41232)),f326(f168(x41231),f326(f326(f138(x41231),x41233),x41232)))
% 163.42/163.15 [4125]E(f326(f326(f79(a920),f326(f165(a920),f326(f326(f154(x41251,a920),x41252),x41253))),f326(f190(f921(x41251)),x41253)),f155(x41251,x41252,x41253))
% 163.42/163.15 [4145]E(f326(f167(x41451),f326(f326(f326(f183(f921(x41451),f921(x41451)),x41452),f167(x41451)),x41453)),f326(f326(f326(f183(f921(x41451),f921(x41451)),f326(a112,x41452)),f167(x41451)),x41453))
% 163.42/163.15 [4161]P106(f326(f326(f234(a920),f326(f190(f921(x41611)),f326(f136(x41611,x41612),x41613))),f326(f190(f921(x41611)),x41613)))
% 163.42/163.15 [4177]E(f326(f326(f110(f928(f928(x41771,a916),a916)),f326(f307(x41771),x41772)),f326(f309(f928(x41771,a916),f928(x41771,a916),f326(f308(x41771),x41773)),f326(f307(x41771),x41772))),f326(f307(x41771),f326(f326(f308(x41771),x41773),x41772)))
% 163.42/163.15 [4196]P25(x41961,x41962,f326(f326(f308(f919(x41961)),f326(f326(f326(f90(x41961),x41963),a25),x41963)),f189(f928(f919(x41961),a916))))
% 163.42/163.15 [4210]P106(f326(f326(f234(a920),f326(f190(f921(x42101)),f177(x42101,x42102,x42103))),f326(f190(f921(x42101)),x42103)))
% 163.42/163.15 [4217]E(f326(f263(x42171,x42172),f326(f261(f927(x42171,x42172)),f326(f256(x42171,x42172,a916),x42173))),f326(f261(x42171),f326(f326(f10(f928(x42172,a916),a916,x42171),f86(x42172)),x42173)))
% 163.42/163.15 [4229]E(f326(f309(a920,a920,f326(f326(f9(a920,a920,a920),f79(a920)),x42291)),f302(a920,x42292,x42293)),f302(a920,f326(f326(f79(a920),x42292),x42291),f326(f326(f79(a920),x42293),x42291)))
% 163.42/163.15 [4243]E(f326(f309(a920,a920,f326(f326(f9(a920,a920,a920),f79(a920)),x42431)),f326(f301(a920,x42432),x42433)),f326(f301(a920,f326(f326(f79(a920),x42432),x42431)),f326(f326(f79(a920),x42433),x42431)))
% 163.42/163.15 [4261]E(f326(f326(f181(x42611,x42612),f326(f326(f154(f927(x42611,x42612),x42611),f250(x42611,x42612)),x42613)),f326(f326(f154(f927(x42611,x42612),x42612),f255(x42611,x42612)),x42613)),x42613)
% 163.42/163.15 [4266]E(f326(f326(f79(a920),f326(f326(f80(a920),x42661),f44(a920,f326(f326(f35(a920),x42662),x42661),x42663))),f44(a920,x42662,x42661)),f44(a920,x42662,f326(f326(f80(a920),x42661),x42663)))
% 163.42/163.15 [4279]E(f326(f326(f134(x42791),x42792),f326(f142(f921(x42791),f921(x42791),f134(x42791),f113(x42791)),x42793)),f326(f142(f921(x42791),f921(x42791),f134(x42791),x42792),x42793))
% 163.42/163.15 [4300]P106(f326(f326(f328(f927(x43001,x43001)),f326(f326(f251(x43001,x43001),x43002),x43002)),f326(f326(f183(f927(x43001,x43001),a916),f2(a920)),x43003)))
% 163.42/163.15 [4305]E(f326(f261(x43051),f326(f326(f10(f928(x43052,a916),a916,x43051),f86(x43052)),f326(f9(x43052,x43051,a916),x43053))),f326(f283(x43052,x43051),f326(f261(f927(x43052,x43051)),f326(f256(x43052,x43051,a916),x43053))))
% 163.42/163.15 [4322]E(f326(f326(f110(f928(x43221,a916)),f326(f326(f39(a920,f928(x43221,a916)),f302(a920,f77(a920),x43222)),x43223)),f326(x43223,f2(a920))),f326(f326(f39(a920,f928(x43221,a916)),f326(f300(a920),x43222)),x43223))
% 163.42/163.15 [4337]E(f326(f142(f921(x43371),f921(x43371),f134(x43371),f113(x43371)),f326(f326(f154(f921(x43371),f921(x43371)),f136(x43371,x43372)),x43373)),f326(f136(x43371,x43372),f326(f142(f921(x43371),f921(x43371),f134(x43371),f113(x43371)),x43373)))
% 163.42/163.15 [4341]E(f326(f255(f921(x43411),f921(x43411)),f166(x43411,x43412,x43413)),f326(f136(x43411,f326(f72(a916,a916,x43411,a321),x43412)),x43413))
% 163.42/163.15 [4386]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f80(a1),x43861),f326(f326(f35(a1),x43862),x43861))),f44(a1,x43862,x43861))),x43863),f326(f326(f79(a1),x43862),x43863))
% 163.42/163.15 [4424]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f80(a1),f326(f326(f35(a1),x44241),x44242)),x44242)),f44(a1,x44241,x44242))),x44243),f326(f326(f79(a1),x44241),x44243))
% 163.42/163.15 [4450]E(f84(f927(x44501,x44502),f326(f256(x44501,x44502,a916),f326(f326(f10(f928(x44502,f927(x44501,x44502)),f928(x44502,a916),x44501),f326(f10(f927(x44501,x44502),a916,x44502),x44503)),f251(x44501,x44502)))),f84(f927(x44501,x44502),x44503))
% 163.42/163.15 [4451]E(f89(f927(x44511,x44512),f326(f256(x44511,x44512,a916),f326(f326(f10(f928(x44512,f927(x44511,x44512)),f928(x44512,a916),x44511),f326(f10(f927(x44511,x44512),a916,x44512),x44513)),f251(x44511,x44512)))),f89(f927(x44511,x44512),x44513))
% 163.42/163.15 [4478]P106(f326(f326(f234(f928(x44781,a916)),f36(f928(x44781,a916),f326(f326(f101(f928(f928(x44781,a916),a916)),x44782),x44783))),f326(f326(f101(f928(x44781,a916)),f36(f928(x44781,a916),x44782)),f36(f928(x44781,a916),x44783))))
% 163.42/163.15 [4479]E(f326(f168(x44791),f326(f326(f326(f183(f921(x44791),f921(x44791)),f326(f326(f3(a920),f326(f190(f921(x44791)),x44792)),f44(a920,x44793,f326(f190(f921(x44791)),x44792)))),f167(x44791)),x44792)),f326(f326(f326(f183(f921(x44791),f921(x44791)),x44793),f167(x44791)),f326(f168(x44791),x44792)))
% 163.42/163.15 [4516]P106(f326(f326(f234(a920),f326(f190(f921(x45161)),f326(f326(f138(x45161),f326(f190(f921(x45161)),f177(x45161,x45162,x45163))),x45163))),f326(f190(f921(x45161)),x45163)))
% 163.42/163.15 [4754]~P106(f326(f61(x47541,x47542,f189(f928(x47541,a916))),x47543))
% 163.42/163.15 [4759]~P106(f326(f326(f328(f927(x47591,x47591)),f326(f326(f251(x47591,x47591),x47592),x47593)),f153(x47591,f113(f928(x47591,a920)))))
% 163.42/163.15 [3825]E(f326(f190(f921(x38251)),f326(f326(f175(x38251),x38252),x38253)),f326(f326(f188(a920),f326(f190(f921(x38251)),x38253)),x38252))
% 163.42/163.15 [3826]E(f326(f190(f921(x38261)),f326(f326(f138(x38261),x38262),x38263)),f326(f326(f3(a920),f326(f190(f921(x38261)),x38263)),x38262))
% 163.42/163.15 [3852]E(f326(f190(f921(f921(x38521))),f54(x38521,x38522,x38523)),f326(f326(f243(a920),f326(f190(f921(x38521)),x38523)),x38522))
% 163.42/163.15 [3870]E(f326(f326(f35(a920),f326(f326(f35(a920),x38701),x38702)),x38703),f326(f326(f35(a920),x38701),f326(f326(f80(a920),x38702),x38703)))
% 163.42/163.15 [3871]E(f326(f326(f3(a920),f326(f326(f3(a920),x38711),x38712)),x38713),f326(f326(f3(a920),x38711),f326(f326(f79(a920),x38712),x38713)))
% 163.42/163.15 [3872]E(f326(f326(f80(a920),f326(f326(f80(a920),x38721),x38722)),x38723),f326(f326(f80(a920),x38721),f326(f326(f80(a920),x38722),x38723)))
% 163.42/163.15 [3873]E(f326(f326(f80(a1),f326(f326(f80(a1),x38731),x38732)),x38733),f326(f326(f80(a1),x38731),f326(f326(f80(a1),x38732),x38733)))
% 163.42/163.15 [3874]E(f326(f326(f79(a920),f326(f326(f79(a920),x38741),x38742)),x38743),f326(f326(f79(a920),x38741),f326(f326(f79(a920),x38742),x38743)))
% 163.42/163.15 [3875]E(f326(f326(f79(a1),f326(f326(f79(a1),x38751),x38752)),x38753),f326(f326(f79(a1),x38751),f326(f326(f79(a1),x38752),x38753)))
% 163.42/163.15 [3876]E(f326(f326(f243(a1),f326(f326(f243(a1),x38761),x38762)),x38763),f326(f326(f243(a1),x38761),f326(f326(f80(a920),x38762),x38763)))
% 163.42/163.15 [3895]E(f162(x38951,f326(f326(f151(f928(x38951,a916)),x38952),x38953)),f174(x38951,x38952,f162(x38951,x38953)))
% 163.42/163.15 [3939]E(f326(f326(f3(a920),f326(f326(f3(a920),x39391),x39392)),x39393),f326(f326(f3(a920),f326(f326(f3(a920),x39391),x39393)),x39392))
% 163.42/163.15 [3947]E(f326(f326(f101(f928(x39471,a916)),x39472),f326(f326(f3(f928(x39471,a916)),x39473),x39472)),f189(f928(x39471,a916)))
% 163.42/163.15 [3951]E(f326(f326(f154(a920,x39511),f326(f18(x39511,a920),x39512)),f139(a920,f326(f301(a920,f2(a920)),x39513))),f169(x39511,x39513,x39512))
% 163.42/163.15 [3989]E(f36(f928(x39891,a916),f326(f326(f308(f928(x39891,a916)),x39892),x39893)),f326(f326(f110(f928(x39891,a916)),x39892),f36(f928(x39891,a916),x39893)))
% 163.42/163.15 [3990]E(f37(f928(x39901,a916),f326(f326(f308(f928(x39901,a916)),x39902),x39903)),f326(f326(f101(f928(x39901,a916)),x39902),f37(f928(x39901,a916),x39903)))
% 163.42/163.15 [3992]E(f169(x39921,f326(f190(f921(x39921)),f326(f136(x39921,f326(a323,x39922)),x39923)),x39922),f326(f136(x39921,f326(a323,x39922)),x39923))
% 163.42/163.15 [3994]E(f326(f326(f3(a920),f326(f326(f80(a920),x39941),x39942)),f326(f326(f80(a920),x39943),x39942)),f326(f326(f80(a920),f326(f326(f3(a920),x39941),x39943)),x39942))
% 163.42/163.15 [3995]E(f326(f326(f79(a920),f326(f326(f80(a920),x39951),x39952)),f326(f326(f80(a920),x39953),x39952)),f326(f326(f80(a920),f326(f326(f79(a920),x39951),x39953)),x39952))
% 163.42/163.15 [3996]E(f326(f326(f3(a1),f326(f326(f80(a1),x39961),x39962)),f326(f326(f80(a1),x39963),x39962)),f326(f326(f80(a1),f326(f326(f3(a1),x39961),x39963)),x39962))
% 163.42/163.15 [3997]E(f326(f326(f79(a1),f326(f326(f80(a1),x39971),x39972)),f326(f326(f80(a1),x39973),x39972)),f326(f326(f80(a1),f326(f326(f79(a1),x39971),x39973)),x39972))
% 163.42/163.15 [3999]E(f326(f326(f188(a920),f326(f326(f3(a920),x39991),x39992)),f326(f326(f3(a920),x39993),x39992)),f326(f326(f3(a920),f326(f326(f188(a920),x39991),x39993)),x39992))
% 163.42/163.15 [4021]E(f326(f326(f101(f928(f921(x40211),a916)),f160(x40211,x40212)),f160(x40211,x40213)),f160(x40211,f326(f326(f101(f928(x40211,a916)),x40212),x40213)))
% 163.42/163.15 [4024]E(f326(f326(f110(f928(x40241,a916)),x40242),f326(f326(f110(f928(x40241,a916)),x40242),x40243)),f326(f326(f110(f928(x40241,a916)),x40242),x40243))
% 163.42/163.15 [4025]E(f326(f326(f110(f928(x40251,a916)),x40252),f326(f326(f3(f928(x40251,a916)),x40253),x40252)),f326(f326(f110(f928(x40251,a916)),x40252),x40253))
% 163.42/163.15 [4026]E(f326(f326(f101(f928(x40261,a916)),x40262),f326(f326(f101(f928(x40261,a916)),x40262),x40263)),f326(f326(f101(f928(x40261,a916)),x40262),x40263))
% 163.42/163.15 [4038]E(f326(f326(f288(x40381,x40382,x40382),x40383),f306(x40382,f189(f928(f927(x40382,x40382),a916)))),x40383)
% 163.42/163.15 [4041]E(f326(f326(f110(f928(x40411,a916)),f326(f326(f308(x40411),x40412),f189(f928(x40411,a916)))),x40413),f326(f326(f308(x40411),x40412),x40413))
% 163.42/163.15 [4060]E(f326(f326(f3(a920),f326(f326(f3(a920),f326(a112,x40601)),x40602)),f326(a112,x40603)),f326(f326(f3(a920),f326(f326(f3(a920),x40601),x40602)),x40603))
% 163.42/163.15 [4088]E(f326(f326(f101(f928(f928(x40881,a916),a916)),f326(f307(x40881),x40882)),f326(f307(x40881),x40883)),f326(f307(x40881),f326(f326(f101(f928(x40881,a916)),x40882),x40883)))
% 163.42/163.15 [4091]E(f326(f326(f110(f928(x40911,a916)),f326(f78(f928(x40911,a916)),x40912)),x40913),f326(f78(f928(x40911,a916)),f326(f326(f3(f928(x40911,a916)),x40912),x40913)))
% 163.42/163.15 [4101]E(f326(f326(f308(x41011),x41012),f326(f326(f3(f928(x41011,a916)),x41013),f326(f326(f308(x41011),x41012),f189(f928(x41011,a916))))),f326(f326(f308(x41011),x41012),x41013))
% 163.42/163.15 [4111]P106(f326(f326(f234(f928(x41111,a916)),x41112),f326(f326(f110(f928(x41111,a916)),x41113),x41112)))
% 163.42/163.15 [4112]P106(f326(f326(f234(f928(x41121,a916)),x41122),f326(f326(f110(f928(x41121,a916)),x41122),x41123)))
% 163.42/163.15 [4116]E(f326(f326(f101(f928(x41161,a916)),f326(f78(f928(x41161,a916)),x41162)),f326(f78(f928(x41161,a916)),x41163)),f326(f78(f928(x41161,a916)),f326(f326(f110(f928(x41161,a916)),x41162),x41163)))
% 163.42/163.15 [4117]E(f326(f326(f110(f928(x41171,a916)),f326(f78(f928(x41171,a916)),x41172)),f326(f78(f928(x41171,a916)),x41173)),f326(f78(f928(x41171,a916)),f326(f326(f101(f928(x41171,a916)),x41172),x41173)))
% 163.42/163.15 [4131]P106(f326(f326(f234(f928(x41311,a916)),f326(f172(x41311),x41312)),f326(f172(x41311),f326(f326(f151(x41311),x41313),x41312))))
% 163.42/163.15 [4143]E(f326(f326(f110(f928(x41431,a916)),f326(f326(f3(f928(x41431,a916)),x41432),x41433)),f326(f326(f101(f928(x41431,a916)),x41432),x41433)),x41432)
% 163.42/163.15 [4197]E(f326(f326(f8(x41971,a1),f326(f326(f10(a920,a1,x41971),f100(a1)),x41972)),x41973),f326(f100(a1),f326(f326(f8(x41971,a920),x41972),x41973)))
% 163.42/163.15 [4198]E(f326(f326(f11(x41981,a1),f326(f326(f10(a920,a1,x41981),f100(a1)),x41982)),x41983),f326(f100(a1),f326(f326(f11(x41981,a920),x41982),x41983)))
% 163.42/163.15 [4245]E(f326(f326(f134(x42451),f177(x42451,x42452,x42453)),f326(f326(f138(x42451),f326(f190(f921(x42451)),f177(x42451,x42452,x42453))),x42453)),x42453)
% 163.42/163.15 [4249]E(f326(f78(f928(f927(x42491,x42492),a916)),f326(f326(f253(x42491,x42492),x42493),f326(f18(f928(x42492,a916),x42491),f241(f928(x42492,a916))))),f326(f326(f253(x42491,x42492),f326(f78(f928(x42491,a916)),x42493)),f326(f18(f928(x42492,a916),x42491),f241(f928(x42492,a916)))))
% 163.42/163.15 [4250]E(f326(f78(f928(f927(x42501,x42502),a916)),f326(f326(f253(x42501,x42502),f241(f928(x42501,a916))),f326(f18(f928(x42502,a916),x42501),x42503))),f326(f326(f253(x42501,x42502),f241(f928(x42501,a916))),f326(f18(f928(x42502,a916),x42501),f326(f78(f928(x42502,a916)),x42503))))
% 163.42/163.15 [4301]E(f326(f326(f39(f928(x43011,a916),f928(x43011,a916)),x43012),f326(f326(f9(f928(x43011,a916),f928(x43011,a916),f928(x43011,a916)),f101(f928(x43011,a916))),x43013)),f326(f326(f101(f928(x43011,a916)),f36(f928(x43011,a916),x43012)),x43013))
% 163.42/163.15 [4307]E(f326(f142(f921(x43071),f921(x43071),f134(x43071),f113(x43071)),f326(f326(f151(f921(x43071)),x43072),x43073)),f326(f326(f134(x43071),x43072),f326(f142(f921(x43071),f921(x43071),f134(x43071),f113(x43071)),x43073)))
% 163.42/163.15 [4328]E(f326(f326(f308(f928(x43281,a916)),f326(f284(x43281,x43281,x43282),f326(f326(f308(x43281),x43283),f189(f928(x43281,a916))))),f189(f928(f928(x43281,a916),a916))),f326(f326(f59(x43281),f326(f326(f308(x43281),x43283),f189(f928(x43281,a916)))),x43282))
% 163.42/163.15 [4338]E(f326(f326(f79(a920),f326(f326(f80(a920),x43381),f326(f326(f35(a920),x43382),x43383))),f326(f326(f35(a920),f326(f326(f80(a920),x43381),f44(a920,x43382,x43383))),x43383)),f326(f326(f35(a920),f326(f326(f80(a920),x43381),x43382)),x43383))
% 163.42/163.15 [4339]E(f326(f326(f79(a1),f326(f326(f80(a1),x43391),f326(f326(f35(a1),x43392),x43393))),f326(f326(f35(a1),f326(f326(f80(a1),x43391),f44(a1,x43392,x43393))),x43393)),f326(f326(f35(a1),f326(f326(f80(a1),x43391),x43392)),x43393))
% 163.42/163.15 [4371]E(f326(f326(f3(f928(x43711,a916)),f326(f172(x43711),x43712)),f326(f326(f308(x43711),x43713),f189(f928(x43711,a916)))),f326(f172(x43711),f326(f136(x43711,f326(f326(f10(a916,a916,x43711),a321),f326(a323,x43713))),x43712)))
% 163.42/163.15 [4422]E(f326(f326(f134(x44221),f326(f142(f921(x44221),f921(x44221),f134(x44221),f113(x44221)),x44222)),f326(f142(f921(x44221),f921(x44221),f134(x44221),f113(x44221)),x44223)),f326(f142(f921(x44221),f921(x44221),f134(x44221),f113(x44221)),f326(f326(f134(f921(x44221)),x44222),x44223)))
% 163.42/163.15 [4425]E(f326(f326(f251(f921(x44251),f921(x44251)),f326(f136(x44251,x44252),x44253)),f326(f136(x44251,f326(f72(a916,a916,x44251,a321),x44252)),x44253)),f166(x44251,x44252,x44253))
% 163.42/163.15 [4428]E(f326(f326(f79(a920),f326(f326(f79(a920),f326(f326(f35(a920),x44281),x44282)),f326(f326(f35(a920),x44283),x44282))),f326(f326(f35(a920),f326(f326(f79(a920),f44(a920,x44281,x44282)),f44(a920,x44283,x44282))),x44282)),f326(f326(f35(a920),f326(f326(f79(a920),x44281),x44283)),x44282))
% 163.42/163.15 [4429]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f35(a1),x44291),x44292)),f326(f326(f35(a1),x44293),x44292))),f326(f326(f35(a1),f326(f326(f79(a1),f44(a1,x44291,x44292)),f44(a1,x44293,x44292))),x44292)),f326(f326(f35(a1),f326(f326(f79(a1),x44291),x44293)),x44292))
% 163.42/163.15 [4482]E(f326(f326(f101(f928(f921(x44821),a916)),f326(f326(f9(f921(x44821),f928(f921(x44821),a916),a916),f328(f921(x44821))),f161(x44821,x44822))),f326(f326(f9(f921(x44821),f928(f921(x44821),a916),a916),f328(f921(x44821))),f161(x44821,x44823))),f160(x44821,f326(f326(f101(f928(x44821,a916)),f326(f326(f9(x44821,f928(x44821,a916),a916),f328(x44821)),x44822)),f326(f326(f9(x44821,f928(x44821,a916),a916),f328(x44821)),x44823))))
% 163.42/163.15 [4494]E(f326(f261(x44941),f326(f326(f20(x44941,a916,a916),f326(f326(f10(a916,f928(a916,a916),x44941),a325),f326(f326(f9(x44941,x44941,a916),a323),x44942))),f326(f326(f9(x44941,f928(x44941,a916),a916),f328(x44941)),x44943))),f326(f326(f308(x44941),x44942),x44943))
% 163.42/163.15 [4514]E(f326(f326(f85(f921(f921(x45141)),f921(f921(x45141))),f53(x45141,x45142)),f326(f326(f20(f921(f921(x45141)),f921(f921(x45141)),f921(f921(x45141))),f326(f326(f10(f921(f921(x45141)),f928(f921(f921(x45141)),f921(f921(x45141))),f921(f921(x45141))),f134(f921(x45141))),f326(f154(f921(x45141),f921(x45141)),f326(f151(x45141),x45143)))),f7(f921(f921(x45141))))),f53(x45141,f326(f326(f151(x45141),x45143),x45142)))
% 163.42/163.15 [4517]E(f326(f261(x45171),f326(f326(f20(x45171,a916,a916),f326(f326(f10(a916,f928(a916,a916),x45171),a325),f326(f326(f9(x45171,f928(x45171,a916),a916),f328(x45171)),x45172))),f326(f326(f9(x45171,f928(x45171,a916),a916),f328(x45171)),x45173))),f326(f326(f110(f928(x45171,a916)),x45172),x45173))
% 163.42/163.15 [4518]E(f326(f261(x45181),f326(f326(f20(x45181,a916,a916),f326(f326(f10(a916,f928(a916,a916),x45181),a324),f326(f326(f9(x45181,f928(x45181,a916),a916),f328(x45181)),x45182))),f326(f326(f9(x45181,f928(x45181,a916),a916),f328(x45181)),x45183))),f326(f326(f101(f928(x45181,a916)),x45182),x45183))
% 163.42/163.15 [4608]E(f326(f326(f39(x46081,f928(f928(x46081,a916),a916)),x46082),f326(f326(f9(x46081,f928(f928(x46081,a916),a916),f928(f928(x46081,a916),a916)),f326(f326(f10(f928(x46081,a916),f928(f928(f928(x46081,a916),a916),f928(f928(x46081,a916),a916)),x46081),f308(f928(x46081,a916))),f326(f326(f10(f928(x46081,a916),f928(x46081,a916),x46081),f284(x46081,x46081,x46083)),f326(f326(f9(x46081,f928(x46081,a916),f928(x46081,a916)),f308(x46081)),f189(f928(x46081,a916)))))),f189(f928(f928(x46081,a916),a916)))),f326(f326(f59(x46081),x46082),x46083))
% 163.42/163.15 [4610]E(f326(f326(f202(x46101),f326(f326(f80(a1),f326(f326(f72(f927(a1,a1),a1,x46101,f250(a1,a1)),f213(x46101)),x46102)),f326(f326(f72(f927(a1,a1),a1,x46101,f250(a1,a1)),f213(x46101)),x46103))),f326(f326(f80(a1),f326(f326(f72(f927(a1,a1),a1,x46101,f255(a1,a1)),f213(x46101)),x46102)),f326(f326(f72(f927(a1,a1),a1,x46101,f255(a1,a1)),f213(x46101)),x46103))),f229(x46101,x46102,x46103))
% 163.42/163.15 [4613]E(f326(f261(f921(x46131)),f326(f326(f20(f921(x46131),a916,a916),f326(f326(f10(a916,f928(a916,a916),f921(x46131)),a324),f326(f326(f9(f921(x46131),a920,a916),f326(f326(f10(a920,f928(a920,a916),f921(x46131)),a323),f190(f921(x46131)))),x46132))),f326(f326(f9(f921(x46131),f928(x46131,a916),a916),f326(f326(f10(f928(x46131,a916),f928(f928(x46131,a916),a916),f921(x46131)),f234(f928(x46131,a916))),f172(x46131))),f326(f172(x46131),x46133)))),f326(f172(f921(x46131)),f54(x46131,x46132,x46133)))
% 163.42/163.15 [4012]E(f44(a920,f326(f326(f79(a920),f326(f326(f80(a920),x40121),x40122)),x40123),x40122),f44(a920,x40123,x40122))
% 163.42/163.15 [4059]E(f139(a920,f326(f301(a920,f326(f326(f79(a920),x40591),x40592)),x40593)),f326(f326(f138(a920),x40592),f139(a920,f326(f301(a920,x40591),x40593))))
% 163.42/163.15 [4100]E(f326(f326(f79(a1),f326(f100(a1),x41001)),f326(f326(f79(a1),f326(f100(a1),x41002)),x41003)),f326(f326(f79(a1),f326(f100(a1),f326(f326(f79(a920),x41001),x41002))),x41003))
% 163.42/163.15 [4107]E(f326(f326(f110(f928(x41071,a916)),f326(f326(f3(f928(x41071,a916)),x41072),x41073)),x41073),f326(f326(f110(f928(x41071,a916)),x41072),x41073))
% 163.42/163.15 [4108]E(f326(f326(f3(f928(x41081,a916)),f326(f326(f3(f928(x41081,a916)),x41082),x41083)),x41083),f326(f326(f3(f928(x41081,a916)),x41082),x41083))
% 163.42/163.15 [4132]E(f326(f326(f288(x41321,x41321,x41322),f306(x41321,f189(f928(f927(x41321,x41321),a916)))),x41323),x41323)
% 163.42/163.15 [4140]E(f326(f326(f110(f928(x41401,a916)),f326(f280(x41401),x41402)),f326(f280(x41401),x41403)),f326(f280(x41401),f326(f326(f110(f928(f927(x41401,x41401),a916)),x41402),x41403)))
% 163.42/163.15 [4150]E(f265(x41501,f326(f326(f151(f927(a99,x41501)),f326(f326(f251(a99,x41501),f2(a99)),x41502)),x41503)),f265(x41501,x41503))
% 163.42/163.15 [4154]E(f326(f326(f110(f928(x41541,a916)),f36(f928(x41541,a916),x41542)),f36(f928(x41541,a916),x41543)),f36(f928(x41541,a916),f326(f326(f110(f928(f928(x41541,a916),a916)),x41542),x41543)))
% 163.42/163.15 [4155]E(f326(f326(f101(f928(x41551,a916)),f37(f928(x41551,a916),x41552)),f37(f928(x41551,a916),x41553)),f37(f928(x41551,a916),f326(f326(f110(f928(f928(x41551,a916),a916)),x41552),x41553)))
% 163.42/163.15 [4192]E(f326(f326(f288(x41921,x41921,x41921),f326(f326(f183(f927(x41921,x41921),a916),x41922),x41923)),x41923),f326(f326(f183(f927(x41921,x41921),a916),f326(a112,x41922)),x41923))
% 163.42/163.15 [4237]P106(f326(f326(f234(f928(x42371,a916)),f326(f326(f3(f928(x42371,a916)),x42372),x42373)),x42372))
% 163.42/163.15 [4238]P106(f326(f326(f234(f928(x42381,a916)),f326(f326(f101(f928(x42381,a916)),x42382),x42383)),x42383))
% 163.42/163.15 [4239]P106(f326(f326(f234(f928(x42391,a916)),f326(f326(f101(f928(x42391,a916)),x42392),x42393)),x42392))
% 163.42/163.15 [4263]E(f306(x42631,f326(f326(f110(f928(f927(x42631,x42631),a916)),f306(x42631,x42632)),f306(x42631,x42633))),f306(x42631,f326(f326(f110(f928(f927(x42631,x42631),a916)),x42632),x42633)))
% 163.42/163.15 [4267]E(f36(f928(x42671,a916),f326(f326(f308(f928(x42671,a916)),x42672),f326(f326(f308(f928(x42671,a916)),x42673),f189(f928(f928(x42671,a916),a916))))),f326(f326(f110(f928(x42671,a916)),x42672),x42673))
% 163.42/163.15 [4268]E(f37(f928(x42681,a916),f326(f326(f308(f928(x42681,a916)),x42682),f326(f326(f308(f928(x42681,a916)),x42683),f189(f928(f928(x42681,a916),a916))))),f326(f326(f101(f928(x42681,a916)),x42682),x42683))
% 163.42/163.15 [4273]E(f326(f326(f288(x42731,x42731,x42731),f326(f326(f183(f927(x42731,x42731),a916),x42732),x42733)),x42733),f326(f326(f288(x42731,x42731,x42731),x42733),f326(f326(f183(f927(x42731,x42731),a916),x42732),x42733)))
% 163.42/163.15 [4342]E(f326(f326(f110(f928(x43421,a916)),f326(f261(x43421),f326(f326(f9(x43421,x43421,a916),a323),x43422))),x43423),f326(f326(f308(x43421),x43422),x43423))
% 163.42/163.15 [4344]E(f326(a104,f326(f326(f8(x43441,a1),f326(f326(f10(a920,a1,x43441),f100(a1)),x43442)),x43443)),f326(f326(f8(x43441,a920),x43442),x43443))
% 163.42/163.15 [4345]E(f326(a104,f326(f326(f11(x43451,a1),f326(f326(f10(a920,a1,x43451),f100(a1)),x43452)),x43453)),f326(f326(f11(x43451,a920),x43452),x43453))
% 163.42/163.15 [4419]E(f326(f156(f921(x44191),x44191,f326(f171(x44191),x44192),f326(f18(f928(f921(x44191),f921(x44191)),x44191),f326(f326(f9(f921(x44191),f921(x44191),f921(x44191)),f134(x44191)),x44192))),x44193),f326(f171(x44191),f326(f326(f134(x44191),x44193),x44192)))
% 163.42/163.15 [4447]P106(f326(f326(f234(f928(f928(x44471,a916),a916)),f326(f326(f110(f928(f928(x44471,a916),a916)),f326(f307(x44471),x44472)),f326(f307(x44471),x44473))),f326(f307(x44471),f326(f326(f110(f928(x44471,a916)),x44472),x44473))))
% 163.42/163.15 [4537]E(f326(f261(x45371),f326(f326(f20(x45371,a916,a916),f326(f326(f10(a916,f928(a916,a916),x45371),a324),f326(f326(f9(x45371,f928(x45371,a916),a916),f328(x45371)),x45372))),f326(f326(f10(a916,a916,x45371),a321),f326(f326(f9(x45371,f928(x45371,a916),a916),f328(x45371)),x45373)))),f326(f326(f3(f928(x45371,a916)),x45372),x45373))
% 163.42/163.15 [4561]E(f326(f34(a920),f326(f261(a920),f326(f326(f20(a920,a916,a916),f326(f326(f10(a916,f928(a916,a916),a920),a324),f326(f326(f9(a920,a920,a916),f235(a920)),f326(f190(f921(x45611)),x45612)))),f326(f326(f10(x45611,a916,a920),x45613),f326(f164(x45611),x45612))))),f326(f190(f921(x45611)),f326(f136(x45611,x45613),x45612)))
% 163.42/163.15 [4563]E(f326(f190(f921(x45631)),f176(x45631,x45632,x45633)),f326(f34(a920),f326(f261(a920),f326(f326(f20(a920,a916,a916),f326(f326(f10(a916,f928(a916,a916),a920),a324),f326(f326(f9(a920,a920,a916),f235(a920)),f326(f190(f921(x45631)),x45632)))),f326(f326(f9(a920,f928(a920,a916),a916),f328(a920)),x45633)))))
% 163.42/163.15 [4659]E(f326(f326(f101(f928(f927(f921(x46591),f921(x46591)),a916)),f326(f309(f927(f927(x46591,f921(x46591)),f927(x46591,f921(x46591))),f927(f921(x46591),f921(x46591)),f257(f927(x46591,f921(x46591)),f921(x46591),f927(x46591,f921(x46591)),f921(x46591),f326(f256(x46591,f921(x46591),f921(x46591)),f151(x46591)),f326(f256(x46591,f921(x46591),f921(x46591)),f151(x46591)))),f318(x46591,f921(x46591),x46592,f326(f143(x46591,x46592),x46593)))),f326(f261(f927(f921(x46591),f921(x46591))),f326(f256(f921(x46591),f921(x46591),a916),f326(f326(f9(f921(x46591),f928(f921(x46591),a916),f928(f921(x46591),a916)),f326(f326(f10(f928(a916,a916),f928(f928(f921(x46591),a916),f928(f921(x46591),a916)),f921(x46591)),f10(a916,a916,f921(x46591))),f326(f326(f10(a916,f928(a916,a916),f921(x46591)),a324),f326(f326(f9(f921(x46591),a920,a916),f326(f326(f10(a920,f928(a920,a916),f921(x46591)),a323),f190(f921(x46591)))),f326(a112,x46593))))),f326(f326(f9(f921(x46591),a920,a916),f326(f326(f10(a920,f928(a920,a916),f921(x46591)),a323),f190(f921(x46591)))),f326(a112,x46593)))))),f326(f143(x46591,x46592),f326(a112,x46593)))
% 163.42/163.15 [4156]E(f44(a920,f326(a112,f326(f326(f79(a920),f326(f326(f80(a920),x41561),x41562)),x41563)),x41562),f44(a920,f326(a112,x41563),x41562))
% 163.42/163.15 [4404]E(f326(f261(x44041),f326(f326(f20(x44041,a916,a916),f326(f326(f10(a916,f928(a916,a916),x44041),a324),x44042)),x44043)),f326(f326(f101(f928(x44041,a916)),f326(f261(x44041),x44042)),f326(f261(x44041),x44043)))
% 163.42/163.15 [4405]E(f326(f261(x44051),f326(f326(f20(x44051,a916,a916),f326(f326(f10(a916,f928(a916,a916),x44051),a325),x44052)),x44053)),f326(f326(f110(f928(x44051,a916)),f326(f261(x44051),x44052)),f326(f261(x44051),x44053)))
% 163.42/163.15 [4407]E(f326(f326(f134(x44071),f326(f326(f138(x44071),f44(a920,x44072,f326(f190(f921(x44071)),x44073))),x44073)),f326(f326(f175(x44071),f44(a920,x44072,f326(f190(f921(x44071)),x44073))),x44073)),f326(f326(f326(f183(f921(x44071),f921(x44071)),x44072),f167(x44071)),x44073))
% 163.42/163.15 [4414]E(f326(f261(x44141),f326(f326(f20(x44141,a916,a916),f326(f326(f10(a916,f928(a916,a916),x44141),a329),x44142)),x44143)),f326(f326(f110(f928(x44141,a916)),f326(f78(f928(x44141,a916)),f326(f261(x44141),x44142))),f326(f261(x44141),x44143)))
% 163.42/163.15 [4430]E(f326(f326(f79(a920),f326(f190(f921(x44301)),f326(f136(x44301,x44302),x44303))),f326(f190(f921(x44301)),f326(f136(x44301,f326(f326(f10(a916,a916,x44301),a321),x44302)),x44303))),f326(f190(f921(x44301)),x44303))
% 163.42/163.15 [4453]P106(f326(f326(f234(f928(x44531,a916)),f326(f326(f110(f928(x44531,a916)),f37(f928(x44531,a916),x44532)),f37(f928(x44531,a916),x44533))),f37(f928(x44531,a916),f326(f326(f101(f928(f928(x44531,a916),a916)),x44532),x44533))))
% 163.42/163.15 [4467]E(f326(f172(x44671),f326(f136(x44671,f326(f326(f10(a916,a916,x44671),a321),f326(f326(f9(x44671,x44671,a916),a323),x44672))),x44673)),f326(f326(f3(f928(x44671,a916)),f326(f172(x44671),x44673)),f326(f326(f308(x44671),x44672),f189(f928(x44671,a916)))))
% 163.42/163.15 [4476]P106(f326(f326(f234(f928(f927(x44761,x44761),a916)),f326(f326(f110(f928(f927(x44761,x44761),a916)),f306(x44761,x44762)),f306(x44761,x44763))),f306(x44761,f326(f326(f110(f928(f927(x44761,x44761),a916)),x44762),x44763))))
% 163.42/163.15 [4499]E(f326(f326(f80(a920),f326(a112,f326(a112,f2(a920)))),f326(f326(f8(a920,a920),f326(f326(f10(a920,a920,a920),f326(f79(a920),x44991)),f326(f326(f9(a920,a920,a920),f80(a920)),x44992))),f326(f281(a920),x44993))),f326(f326(f80(a920),x44993),f326(f326(f79(a920),x44991),f326(f326(f79(a920),x44991),f326(f326(f80(a920),f326(f326(f3(a920),x44993),f77(a920))),x44992)))))
% 163.42/163.15 [4509]E(f326(f261(x45091),f326(f326(f20(x45091,a916,a916),f326(f326(f10(a916,f928(a916,a916),x45091),a324),f326(f326(f9(x45091,f928(x45091,a916),a916),f328(x45091)),f326(f172(x45091),x45092)))),x45093)),f326(f172(x45091),f326(f136(x45091,x45093),x45092)))
% 163.42/163.15 [4658]E(f326(f261(x46581),f326(f326(f10(f928(a920,a916),a916,x46581),f86(a920)),f326(f326(f9(x46581,f928(a920,a916),f928(a920,a916)),f326(f326(f10(f928(a920,f928(a916,a916)),f928(f928(a920,a916),f928(a920,a916)),x46581),f20(a920,a916,a916)),f326(f326(f10(f928(a920,a916),f928(a920,f928(a916,a916)),x46581),f326(f10(a916,f928(a916,a916),a920),a324)),f326(f326(f9(x46581,f928(a920,x46581),f928(a920,a916)),f326(f326(f10(f928(x46581,a916),f928(f928(a920,x46581),f928(a920,a916)),x46581),f10(x46581,a916,a920)),a323)),f326(f164(x46581),x46582))))),f326(f326(f20(a920,a916,a916),f326(f326(f10(a916,f928(a916,a916),a920),a324),f326(f326(f9(a920,a920,a916),f235(a920)),f326(f190(f921(x46581)),x46582)))),f326(f326(f9(a920,f928(a920,a916),a916),f328(a920)),x46583))))),f326(f172(x46581),f176(x46581,x46582,x46583)))
% 163.42/163.15 [4550]E(f326(f261(x45501),f326(f326(f20(x45501,a916,a916),f326(f326(f10(a916,f928(a916,a916),x45501),a329),f326(f326(f10(a916,a916,x45501),a321),f326(f326(f9(x45501,x45501,a916),a323),x45502)))),x45503)),f326(f326(f308(x45501),x45502),f326(f261(x45501),x45503)))
% 163.42/163.15 [4582]E(f326(f326(f154(f927(x45821,a920),x45821),f250(x45821,a920)),f326(f136(f927(x45821,a920),f326(f326(f9(f927(x45821,a920),f928(a920,a916),a916),f326(f326(f10(a920,f928(f928(a920,a916),a916),f927(x45821,a920)),f328(a920)),f255(x45821,a920))),x45822)),f326(f326(f181(x45821,a920),x45823),f139(a920,f326(f301(a920,f2(a920)),f326(f190(f921(x45821)),x45823)))))),f176(x45821,x45823,x45822))
% 163.42/163.15 [4609]E(f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f8(a920,a1),f326(f326(f10(a1,a1,a920),f326(f79(a1),x46091)),f326(f326(f9(a920,a1,a1),f326(f326(f10(a1,f928(a1,a1),a920),f80(a1)),f100(a1))),x46092))),f326(f281(a920),x46093))),f326(f326(f80(a1),f326(f100(a1),x46093)),f326(f326(f79(a1),x46091),f326(f326(f79(a1),x46091),f326(f326(f80(a1),f326(f100(a1),f326(f326(f3(a920),x46093),f77(a920)))),x46092)))))
% 163.42/163.15 [4651]E(f326(f261(f927(x46511,x46512)),f326(f256(x46511,x46512,a916),f326(f326(f9(x46511,f928(f927(x46512,x46511),a916),f928(x46512,a916)),f326(f326(f10(f928(x46512,f928(f928(f927(x46512,x46511),a916),a916)),f928(f928(f927(x46512,x46511),a916),f928(x46512,a916)),x46511),f9(x46512,f928(f927(x46512,x46511),a916),a916)),f326(f326(f10(f928(x46512,f927(x46512,x46511)),f928(x46512,f928(f928(f927(x46512,x46511),a916),a916)),x46511),f326(f10(f927(x46512,x46511),f928(f928(f927(x46512,x46511),a916),a916),x46512),f328(f927(x46512,x46511)))),f326(f9(x46512,x46511,f927(x46512,x46511)),f251(x46512,x46511))))),x46513))),f326(f285(x46512,x46511),x46513))
% 163.42/163.15 [4672]E(f326(f261(f921(x46721)),f326(f326(f10(f928(x46721,a916),a916,f921(x46721)),f86(x46721)),f326(f326(f10(f928(x46721,f928(f921(x46721),a916)),f928(x46721,a916),f921(x46721)),f326(f10(f928(f921(x46721),a916),a916,x46721),f86(f921(x46721)))),f326(f326(f9(f921(x46721),f928(x46721,f928(f921(x46721),a916)),f928(x46721,f928(f921(x46721),a916))),f326(f326(f10(f928(x46721,f928(f928(f921(x46721),a916),f928(f921(x46721),a916))),f928(f928(x46721,f928(f921(x46721),a916)),f928(x46721,f928(f921(x46721),a916))),f921(x46721)),f20(x46721,f928(f921(x46721),a916),f928(f921(x46721),a916))),f326(f326(f10(f928(x46721,f928(f921(x46721),f928(a916,a916))),f928(x46721,f928(f928(f921(x46721),a916),f928(f921(x46721),a916))),f921(x46721)),f326(f10(f928(f921(x46721),f928(a916,a916)),f928(f928(f921(x46721),a916),f928(f921(x46721),a916)),x46721),f20(f921(x46721),a916,a916))),f326(f326(f10(f928(x46721,f928(f921(x46721),a916)),f928(x46721,f928(f921(x46721),f928(a916,a916))),f921(x46721)),f326(f10(f928(f921(x46721),a916),f928(f921(x46721),f928(a916,a916)),x46721),f326(f10(a916,f928(a916,a916),f921(x46721)),a324))),f326(f326(f9(f921(x46721),f928(x46721,f928(f921(x46721),f921(x46721))),f928(x46721,f928(f921(x46721),a916))),f326(f326(f10(f928(f928(f921(x46721),f921(x46721)),f928(f921(x46721),a916)),f928(f928(x46721,f928(f921(x46721),f921(x46721))),f928(x46721,f928(f921(x46721),a916))),f921(x46721)),f10(f928(f921(x46721),f921(x46721)),f928(f921(x46721),a916),x46721)),f326(f326(f10(f928(f921(x46721),a916),f928(f928(f921(x46721),f921(x46721)),f928(f921(x46721),a916)),f921(x46721)),f10(f921(x46721),a916,f921(x46721))),a323))),f151(x46721)))))),f326(f326(f9(x46721,f928(f921(x46721),a916),f928(f921(x46721),a916)),f326(f326(f10(f928(a916,a916),f928(f928(f921(x46721),a916),f928(f921(x46721),a916)),x46721),f10(a916,a916,f921(x46721))),f326(f326(f10(a916,f928(a916,a916),x46721),a324),f326(f326(f9(x46721,f928(x46721,a916),a916),f328(x46721)),x46722)))),f326(f326(f9(f921(x46721),f928(f921(x46721),a916),a916),f328(f921(x46721))),x46723)))))),f174(x46721,x46722,x46723))
% 163.42/163.15 [4669]E(f326(f326(f85(a1,f927(a1,a1)),f326(f326(f3(a1),x46691),x46692)),f326(f326(f9(a1,f927(a1,a1),f927(a1,a1)),f326(f326(f20(a1,f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),f326(f326(f10(a916,f928(f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),a1),f96(f927(a1,a1))),f326(f234(a1),f2(a1)))),f326(f251(a1,a1),f326(f326(f79(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x46693)),f77(a1))))),f326(f326(f251(a1,a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x46693)),x46691))),f326(f42(x46692),f326(f326(f251(a1,a1),x46693),x46691)))
% 163.42/163.15 [4692]~E(f29(x46921,x46922),f30(x46923,x46924))
% 163.42/163.15 [3709]E(f116(x37091,f326(x37092,x37093),f326(x37094,x37093)),f326(f204(x37091,x37092,x37094),x37093))
% 163.42/163.15 [3762]E(f326(f326(f244(x37621,x37622,x37623),x37624),f2(a920)),x37622)
% 163.42/163.15 [3802]E(f185(x38021,x38022,x38023,f326(a112,x38024)),f326(x38023,x38024))
% 163.42/163.15 [3844]E(f170(x38441,x38442,f170(x38441,x38443,x38444)),f170(x38441,x38443,f170(x38441,x38442,x38444)))
% 163.42/163.15 [3845]E(f126(x38451,x38452,f116(x38451,x38453,x38454)),f116(x38451,f126(x38451,x38452,x38453),x38454))
% 163.42/163.15 [3980]E(f326(f156(x39801,x39802,x39803,x39804),f113(x39802)),x39803)
% 163.42/163.15 [3981]E(f326(f142(x39811,x39812,x39813,x39814),f113(x39812)),x39814)
% 163.42/163.15 [4018]E(f326(f190(f925(x40181,x40182)),f221(x40181,x40182,x40183,x40184)),f2(a920))
% 163.42/163.15 [4043]E(f326(f256(x40431,x40432,x40433),f254(x40431,x40432,x40433,x40434)),x40434)
% 163.42/163.15 [4087]E(f326(f326(f134(x40871),f169(x40871,x40872,x40873)),f169(x40871,x40874,x40873)),f326(f326(f134(x40871),f169(x40871,x40874,x40873)),f169(x40871,x40872,x40873)))
% 163.42/163.15 [4175]E(f326(f326(f258(x41751,x41752,x41753,f927(x41752,x41753)),x41754),f251(x41752,x41753)),x41754)
% 163.42/163.15 [4185]E(f127(x41851,x41852,x41853,x41854,f119(x41852)),x41853)
% 163.42/163.15 [4191]E(f74(x41911,x41912,x41913,x41914,f326(x41913,x41914)),x41913)
% 163.42/163.15 [4460]P44(x44601,x44602,x44603,x44604,f189(f928(x44601,a916)),x44604)
% 163.42/163.15 [3511]E(f326(f326(f18(x35111,x35112),x35113),x35114),x35113)
% 163.42/163.15 [3792]E(f170(x37921,x37922,f326(f136(x37921,x37923),x37924)),f326(f136(x37921,x37923),f170(x37921,x37922,x37924)))
% 163.42/163.15 [3827]E(f326(f326(f63(x38271,x38272,x38273),x38274),f189(f928(x38271,a916))),x38274)
% 163.42/163.15 [3851]E(f326(f326(f164(x38511),f326(f326(f151(x38511),x38512),x38513)),f326(a112,x38514)),f326(f326(f164(x38511),x38513),x38514))
% 163.42/163.15 [3919]E(f326(f326(x39191,x39192),f326(f184(x39193,x39194,x39191),x39192)),f326(f184(x39193,x39194,x39191),f326(a112,x39192)))
% 163.42/163.15 [3961]E(f254(x39611,x39612,x39613,f326(f256(x39611,x39612,x39613),x39614)),x39614)
% 163.42/163.15 [4016]E(f326(f326(f159(x40161,f326(f326(f151(x40161),x40162),x40163)),f2(a920)),x40164),f326(f326(f151(x40161),x40164),x40163))
% 163.42/163.15 [4028]E(f326(f326(f39(f928(x40281,a916),f928(x40282,a916)),x40283),f310(x40282,x40281,x40284)),f326(f310(x40282,x40281,x40284),f36(f928(x40281,a916),x40283)))
% 163.42/163.15 [4029]E(f326(f326(f39(f928(x40291,a916),f928(x40292,a916)),x40293),f309(x40291,x40292,x40294)),f326(f309(x40291,x40292,x40294),f36(f928(x40291,a916),x40293)))
% 163.42/163.15 [4054]E(f120(x40541,f130(x40542,f922(x40541),x40543,x40544)),f326(f118(x40542,x40541,x40544),x40543))
% 163.42/163.15 [4128]E(f326(f125(x41281,x41282),f126(x41281,x41283,x41284)),f326(f326(f79(a920),f326(f326(f79(a920),f326(x41282,x41283)),f326(f125(x41281,x41282),x41284))),f326(a112,f2(a920))))
% 163.42/163.15 [4149]E(f326(f142(x41491,x41492,f326(f9(x41492,x41491,x41491),x41493),x41494),f326(f168(x41492),f113(x41492))),x41494)
% 163.42/163.15 [4257]E(f224(x42571,f927(x42572,f922(x42572)),x42573,f326(f256(x42572,f922(x42572),x42571),x42574),f326(f135(x42572),f119(x42572))),x42573)
% 163.42/163.15 [4389]E(f326(f256(x43891,x43892,x43893),f326(f326(f10(f928(x43892,f927(x43891,x43892)),f928(x43892,x43893),x43891),f326(f10(f927(x43891,x43892),x43893,x43892),x43894)),f251(x43891,x43892))),x43894)
% 163.42/163.15 [3700]E(f326(f255(x37001,x37002),f326(f326(f251(x37001,x37002),x37003),x37004)),x37004)
% 163.42/163.15 [3701]E(f326(f250(x37011,x37012),f326(f326(f251(x37011,x37012),x37013),x37014)),x37013)
% 163.42/163.15 [3734]E(f326(f190(f921(x37341)),f326(f326(f159(x37341,x37342),x37343),x37344)),f326(f190(f921(x37341)),x37342))
% 163.42/163.15 [3735]E(f326(f190(f921(x37351)),f326(f326(f154(x37352,x37351),x37353),x37354)),f326(f190(f921(x37352)),x37354))
% 163.42/163.15 [3756]E(f326(f326(f138(x37561),f326(a112,x37562)),f326(f326(f151(x37561),x37563),x37564)),f326(f326(f138(x37561),x37562),x37564))
% 163.42/163.15 [3822]E(f326(f326(f175(x38221),x38222),f169(x38221,x38223,x38224)),f169(x38221,f326(f326(f188(a920),x38222),x38223),x38224))
% 163.42/163.15 [3823]E(f326(f326(f138(x38231),x38232),f169(x38231,x38233,x38234)),f169(x38231,f326(f326(f3(a920),x38233),x38232),x38234))
% 163.42/163.15 [3829]E(f326(f326(f308(x38291),x38292),f326(f326(f308(x38291),x38293),x38294)),f326(f326(f308(x38291),x38293),f326(f326(f308(x38291),x38292),x38294)))
% 163.42/163.15 [3833]E(f326(f326(f154(x38331,x38332),x38333),f114(x38331,x38334)),f114(x38332,f326(f326(f154(x38331,x38332),x38333),x38334)))
% 163.42/163.15 [3849]E(f326(f168(x38491),f326(f326(f154(x38492,x38491),x38493),x38494)),f326(f326(f154(x38492,x38491),x38493),f326(f168(x38492),x38494)))
% 163.42/163.15 [3850]E(f326(f326(f154(x38501,x38502),x38503),f326(f171(x38501),x38504)),f326(f171(x38502),f326(f326(f154(x38501,x38502),x38503),x38504)))
% 163.42/163.15 [3865]E(f326(f326(f175(x38651),f326(a112,x38652)),f326(f326(f151(x38651),x38653),x38654)),f326(f326(f151(x38651),x38653),f326(f326(f175(x38651),x38652),x38654)))
% 163.42/163.15 [3869]E(f326(f172(x38691),f326(f326(f154(x38692,x38691),x38693),x38694)),f326(f309(x38692,x38691,x38693),f326(f172(x38692),x38694)))
% 163.42/163.15 [3882]E(f326(f326(f154(x38821,x38822),f326(f18(x38822,x38821),x38823)),x38824),f169(x38822,f326(f190(f921(x38821)),x38824),x38823))
% 163.42/163.15 [3918]E(f19(x39181,x39182,x39183,f326(a5,f326(a112,f326(a22,x39184)))),f326(x39183,x39184))
% 163.42/163.15 [3922]E(f326(f326(f134(x39221),f326(f136(x39221,x39222),x39223)),f326(f136(x39221,x39222),x39224)),f326(f136(x39221,x39222),f326(f326(f134(x39221),x39223),x39224)))
% 163.42/163.15 [3935]E(f152(x39351,f326(f326(f154(x39352,x39351),x39353),f152(x39352,x39354))),f152(x39351,f326(f326(f154(x39352,x39351),x39353),x39354)))
% 163.42/163.15 [3950]E(f326(f285(x39501,x39501),f326(f326(f287(x39502,x39501),x39503),x39504)),f326(f326(f287(x39502,x39501),f326(f285(x39502,x39502),x39503)),x39504))
% 163.42/163.15 [3962]E(f326(f326(f288(x39621,x39622,x39623),x39624),f189(f928(f927(x39622,x39623),a916))),f189(f928(f927(x39621,x39623),a916)))
% 163.42/163.15 [3963]E(f326(f326(f175(x39631),f326(f326(f3(a920),x39632),x39633)),f326(f326(f138(x39631),x39633),x39634)),f326(f326(f138(x39631),x39633),f326(f326(f175(x39631),x39632),x39634)))
% 163.42/163.15 [3982]E(f326(f326(f134(x39821),f169(x39821,x39822,x39823)),f169(x39821,x39824,x39823)),f169(x39821,f326(f326(f79(a920),x39822),x39824),x39823))
% 163.42/163.15 [3983]E(f326(f326(f326(f277(x39831),x39832),x39833),x39834),f326(f251(f928(a99,f928(a916,f924(f922(x39831)))),f927(a99,a99)),f326(f41(x39831),x39832)))
% 163.42/163.15 [4009]E(f36(f928(x40091,a916),f326(f309(x40092,f928(x40091,a916),x40093),x40094)),f326(f326(f39(x40092,f928(x40091,a916)),x40094),x40093))
% 163.42/163.15 [4010]E(f37(f928(x40101,a916),f326(f309(x40102,f928(x40101,a916),x40103),x40104)),f326(f326(f38(x40102,f928(x40101,a916)),x40104),x40103))
% 163.42/163.15 [4011]E(f326(f190(f921(f927(x40111,x40112))),f326(f326(f181(x40111,x40112),x40113),x40114)),f326(f326(f188(a920),f326(f190(f921(x40111)),x40113)),f326(f190(f921(x40112)),x40114)))
% 163.42/163.15 [4013]E(f326(f310(x40131,x40132,x40133),f326(f78(f928(x40132,a916)),x40134)),f326(f78(f928(x40131,a916)),f326(f310(x40131,x40132,x40133),x40134)))
% 163.42/163.15 [4064]E(f326(f310(x40641,x40642,x40643),f326(f261(x40642),x40644)),f326(f261(x40641),f326(f326(f10(x40642,a916,x40641),x40644),x40643)))
% 163.42/163.15 [4082]E(f326(f326(f164(x40821),f326(f326(f134(x40821),x40822),f326(f326(f151(x40821),x40823),x40824))),f326(f190(f921(x40821)),x40822)),x40823)
% 163.42/163.15 [4105]E(f326(f309(x41051,x41052,x41053),f326(f310(x41051,x41052,x41053),x41054)),f326(f326(f101(f928(x41052,a916)),x41054),f326(f309(x41051,x41052,x41053),f241(f928(x41051,a916)))))
% 163.42/163.15 [4124]P106(f326(f326(f328(x41241),f326(x41242,x41243)),f326(f309(x41244,x41241,x41242),f241(f928(x41244,a916)))))
% 163.42/163.15 [4133]E(f21(x41331,x41332,x41333,f326(a5,f326(a112,f326(a22,x41334)))),f326(f326(x41333,x41334),f21(x41331,x41332,x41333,x41334)))
% 163.42/163.15 [4137]E(f326(f326(f134(x41371),f169(x41371,x41372,x41373)),f326(f326(f151(x41371),x41373),x41374)),f326(f326(f151(x41371),x41373),f326(f326(f134(x41371),f169(x41371,x41372,x41373)),x41374)))
% 163.42/163.15 [4139]E(f326(f326(f253(x41391,x41392),f326(f172(x41391),x41393)),f326(f18(f928(x41392,a916),x41391),f326(f172(x41392),x41394))),f326(f172(f927(x41391,x41392)),f58(x41391,x41392,x41393,x41394)))
% 163.42/163.15 [4153]E(f155(x41531,x41532,f326(f326(f151(x41531),x41533),x41534)),f326(f326(f79(a920),f326(f326(f79(a920),f326(x41532,x41533)),f155(x41531,x41532,x41534))),f326(a112,f2(a920))))
% 163.42/163.15 [4166]E(f185(f921(x41661),f326(f326(f151(x41661),x41662),x41663),f326(f326(f9(a920,f921(x41661),f921(x41661)),f138(x41661)),x41663),x41664),f326(f326(f138(x41661),x41664),f326(f326(f151(x41661),x41662),x41663)))
% 163.42/163.15 [4167]P26(x41671,f927(x41672,x41671),f330(x41673,x41674,x41672,x41671),f326(f326(f39(x41672,f928(x41671,a916)),x41674),x41673))
% 163.42/163.15 [4176]E(f326(f326(f3(f928(x41761,a916)),f326(f326(f3(f928(x41761,a916)),x41762),x41763)),f326(f326(f308(x41761),x41764),f189(f928(x41761,a916)))),f326(f326(f3(f928(x41761,a916)),x41762),f326(f326(f308(x41761),x41764),x41763)))
% 163.42/163.15 [4189]E(f326(f326(f183(f928(x41891,x41892),f928(x41891,x41892)),x41893),f72(x41892,x41892,x41891,x41894)),f72(x41892,x41892,x41891,f326(f326(f183(x41892,x41892),x41893),x41894)))
% 163.42/163.15 [4262]E(f326(f326(f326(f183(f921(x42621),f921(x42621)),x42622),f167(x42621)),f326(f326(f326(f183(f921(x42621),f921(x42621)),x42623),f167(x42621)),x42624)),f326(f326(f326(f183(f921(x42621),f921(x42621)),f326(f326(f79(a920),x42622),x42623)),f167(x42621)),x42624))
% 163.42/163.15 [4347]P106(f326(f326(f234(f928(x43471,a916)),f326(f172(x43471),f326(f326(f159(x43471,x43472),x43473),x43474))),f326(f326(f308(x43471),x43474),f326(f172(x43471),x43472))))
% 163.42/163.15 [4379]E(f326(f326(f39(f928(x43791,a916),f928(f927(x43791,x43792),a916)),x43793),f326(f326(f9(f928(x43791,a916),f928(x43791,f928(x43792,a916)),f928(f927(x43791,x43792),a916)),f253(x43791,x43792)),x43794)),f326(f326(f253(x43791,x43792),f36(f928(x43791,a916),x43793)),x43794))
% 163.42/163.15 [4409]P25(x44091,x44092,f326(f326(f308(f919(x44091)),f326(f326(f326(f90(x44091),x44093),x44094),f326(f18(f928(a918,a916),x44091),f326(f18(a916,a918),a187)))),f189(f928(f919(x44091),a916))))
% 163.42/163.15 [4418]E(f210(x44181,x44182,x44183,f326(f72(x44182,f928(a99,f928(a99,f928(f927(a99,a99),f928(a99,f922(x44182))))),x44181,f209(x44182)),x44184)),f211(x44181,x44182,x44184,x44183))
% 163.42/163.15 [4433]E(f206(x44331,x44332,x44333,f326(f72(x44332,f928(a99,f928(a99,f928(f927(a99,a99),f928(a99,f922(f924(x44332)))))),x44331,f205(x44332)),x44334)),f207(x44331,x44332,x44334,x44333))
% 163.42/163.15 [4438]P106(f326(f65(x44381,x44382,x44383,x44384,f189(f928(x44381,a916))),x44384))
% 163.42/163.15 [4477]E(f326(f326(f39(x44771,f928(x44772,a916)),x44773),f326(f326(f9(x44771,f928(x44772,a916),f928(x44772,a916)),f326(f326(f10(x44772,f928(f928(x44772,a916),f928(x44772,a916)),x44771),f308(x44772)),x44774)),f189(f928(x44772,a916)))),f326(f309(x44771,x44772,x44774),x44773))
% 163.42/163.15 [4484]P106(f326(f326(f234(f928(x44841,a916)),f326(f283(x44842,x44841),f326(f326(f101(f928(f927(x44842,x44841),a916)),x44843),x44844))),f326(f326(f101(f928(x44841,a916)),f326(f283(x44842,x44841),x44843)),f326(f283(x44842,x44841),x44844))))
% 163.42/163.15 [4485]P106(f326(f326(f234(f928(x44851,a916)),f326(f263(x44851,x44852),f326(f326(f101(f928(f927(x44851,x44852),a916)),x44853),x44854))),f326(f326(f101(f928(x44851,a916)),f326(f263(x44851,x44852),x44853)),f326(f263(x44851,x44852),x44854))))
% 163.42/163.15 [4519]P25(x45191,x45192,f326(f326(f308(f919(x45191)),f326(f326(f326(f90(x45191),f326(f18(f928(a918,a916),x45191),f326(f18(a916,a918),a238))),x45193),x45194)),f189(f928(f919(x45191),a916))))
% 163.42/163.15 [4546]P106(f326(f326(f234(f928(f927(x45461,x45462),a916)),f326(f309(x45462,f927(x45461,x45462),f330(x45463,x45464,x45461,x45462)),f326(f326(f39(x45461,f928(x45462,a916)),x45464),x45463))),f326(f326(f253(x45461,x45462),x45464),x45463)))
% 163.42/163.15 [4547]E(f326(f118(x45471,f927(x45471,x45472),x45473),f326(f326(f10(f928(x45472,f922(f927(x45471,x45472))),f922(f927(x45471,x45472)),x45471),f118(x45472,f927(x45471,x45472),x45474)),f326(f326(f10(f928(x45472,f927(x45471,x45472)),f928(x45472,f922(f927(x45471,x45472))),x45471),f326(f10(f927(x45471,x45472),f922(f927(x45471,x45472)),x45472),f129(f927(x45471,x45472)))),f251(x45471,x45472)))),f131(x45471,x45472,x45473,x45474))
% 163.42/163.15 [4548]E(f275(x45481,x45482,x45483,f326(f72(x45482,f928(a99,f928(a99,f928(f927(a99,a99),f927(f928(a99,f928(a916,f924(f922(x45482)))),f927(a99,a99))))),x45481,f277(x45482)),x45484)),f278(x45481,x45482,x45484,x45483))
% 163.42/163.15 [4588]E(f84(f927(x45881,x45882),f326(f256(x45881,x45882,a916),f326(f326(f9(x45881,f928(x45882,a916),f928(x45882,a916)),f326(f326(f10(f928(a916,a916),f928(f928(x45882,a916),f928(x45882,a916)),x45881),f10(a916,a916,x45882)),f326(f326(f10(a916,f928(a916,a916),x45881),a324),f326(a323,x45883)))),f326(a323,x45884)))),f326(f326(f251(x45881,x45882),x45883),x45884))
% 163.42/163.15 [4589]E(f89(f927(x45891,x45892),f326(f256(x45891,x45892,a916),f326(f326(f9(x45891,f928(x45892,a916),f928(x45892,a916)),f326(f326(f10(f928(a916,a916),f928(f928(x45892,a916),f928(x45892,a916)),x45891),f10(a916,a916,x45892)),f326(f326(f10(a916,f928(a916,a916),x45891),a324),f326(a323,x45893)))),f326(a323,x45894)))),f326(f326(f251(x45891,x45892),x45893),x45894))
% 163.42/163.15 [4660]E(f326(f326(f256(f921(x46601),f921(x46601),f927(f921(x46601),f921(x46601))),f326(f326(f20(f921(x46601),f928(f921(x46601),f927(f921(x46601),f921(x46601))),f928(f921(x46601),f927(f921(x46601),f921(x46601)))),f326(f326(f10(f928(f921(x46601),f928(f927(f921(x46601),f921(x46601)),f927(f921(x46601),f921(x46601)))),f928(f928(f921(x46601),f927(f921(x46601),f921(x46601))),f928(f921(x46601),f927(f921(x46601),f921(x46601)))),f921(x46601)),f20(f921(x46601),f927(f921(x46601),f921(x46601)),f927(f921(x46601),f921(x46601)))),f326(f326(f10(f928(f921(x46601),f927(f921(x46601),f921(x46601))),f928(f921(x46601),f928(f927(f921(x46601),f921(x46601)),f927(f921(x46601),f921(x46601)))),f921(x46601)),f326(f10(f927(f921(x46601),f921(x46601)),f928(f927(f921(x46601),f921(x46601)),f927(f921(x46601),f921(x46601))),f921(x46601)),f326(f96(f927(f921(x46601),f921(x46601))),f326(x46602,x46603)))),f326(f326(f10(f921(x46601),f928(f921(x46601),f927(f921(x46601),f921(x46601))),f921(x46601)),f251(f921(x46601),f921(x46601))),f326(f151(x46601),x46603))))),f326(f326(f9(f921(x46601),f928(f921(x46601),f921(x46601)),f928(f921(x46601),f927(f921(x46601),f921(x46601)))),f326(f326(f10(f928(f921(x46601),f927(f921(x46601),f921(x46601))),f928(f928(f921(x46601),f921(x46601)),f928(f921(x46601),f927(f921(x46601),f921(x46601)))),f921(x46601)),f10(f921(x46601),f927(f921(x46601),f921(x46601)),f921(x46601))),f251(f921(x46601),f921(x46601)))),f326(f151(x46601),x46603)))),f166(x46601,x46602,x46604)),f166(x46601,x46602,f326(f326(f151(x46601),x46603),x46604)))
% 163.42/163.15 [3774]E(f326(f190(f919(x37741)),f326(f326(f326(f90(x37741),x37742),x37743),x37744)),f2(a920))
% 163.42/163.15 [3898]E(f326(f326(f175(x38981),x38982),f326(f326(f175(x38981),x38983),x38984)),f326(f326(f175(x38981),f326(f326(f188(a920),x38982),x38983)),x38984))
% 163.42/163.15 [3899]E(f326(f326(f138(x38991),x38992),f326(f326(f138(x38991),x38993),x38994)),f326(f326(f138(x38991),f326(f326(f79(a920),x38992),x38993)),x38994))
% 163.42/163.15 [3910]E(f326(f326(f134(x39101),f326(f326(f151(x39101),x39102),x39103)),x39104),f326(f326(f151(x39101),x39102),f326(f326(f134(x39101),x39103),x39104)))
% 163.42/163.15 [3911]E(f326(f326(f134(x39111),f326(f326(f134(x39111),x39112),x39113)),x39114),f326(f326(f134(x39111),x39112),f326(f326(f134(x39111),x39113),x39114)))
% 163.42/163.15 [3993]E(f326(f326(f164(x39931),f326(f326(f151(x39931),x39932),x39933)),x39934),f185(x39931,x39932,f326(f164(x39931),x39933),x39934))
% 163.42/163.15 [4002]E(f326(f326(f183(x40021,x40021),x40022),f326(f326(f183(x40021,x40021),x40023),x40024)),f326(f326(f183(x40021,x40021),f326(f326(f80(a920),x40023),x40022)),x40024))
% 163.42/163.15 [4031]E(f326(f326(f110(f928(x40311,a916)),x40312),f326(f326(f308(x40311),x40313),x40314)),f326(f326(f308(x40311),x40313),f326(f326(f110(f928(x40311,a916)),x40312),x40314)))
% 163.42/163.15 [4046]E(f326(f326(f326(f183(x40461,x40461),x40462),x40463),f326(x40463,x40464)),f326(x40463,f326(f326(f326(f183(x40461,x40461),x40462),x40463),x40464)))
% 163.42/163.15 [4055]E(f326(f326(f288(x40551,x40552,x40553),f189(f928(f927(x40551,x40552),a916))),x40554),f189(f928(f927(x40551,x40553),a916)))
% 163.42/163.15 [4070]E(f326(f326(f110(f928(x40701,a916)),f326(f326(f308(x40701),x40702),x40703)),x40704),f326(f326(f308(x40701),x40702),f326(f326(f110(f928(x40701,a916)),x40703),x40704)))
% 163.42/163.15 [4089]E(f326(f34(f927(x40891,x40892)),f326(f326(f253(x40891,x40892),x40893),f326(f18(f928(x40892,a916),x40891),x40894))),f326(f326(f80(a920),f326(f34(x40891),x40893)),f326(f34(x40892),x40894)))
% 163.42/163.15 [4096]E(f326(f326(f101(f928(x40961,a916)),f326(f326(f308(x40961),x40962),x40963)),f326(f326(f308(x40961),x40962),x40964)),f326(f326(f308(x40961),x40962),f326(f326(f101(f928(x40961,a916)),x40963),x40964)))
% 163.42/163.15 [4109]E(f326(f326(f110(f928(x41091,a916)),x41092),f326(f326(f110(f928(x41091,a916)),x41093),x41094)),f326(f326(f110(f928(x41091,a916)),x41093),f326(f326(f110(f928(x41091,a916)),x41092),x41094)))
% 163.42/163.15 [4110]E(f326(f326(f101(f928(x41101,a916)),x41102),f326(f326(f101(f928(x41101,a916)),x41103),x41104)),f326(f326(f101(f928(x41101,a916)),x41103),f326(f326(f101(f928(x41101,a916)),x41102),x41104)))
% 163.42/163.15 [4120]E(f63(x41201,x41202,f326(f326(f10(x41202,f928(x41202,x41202),x41201),x41203),x41204)),f326(f64(x41202,x41201,x41203),x41204))
% 163.42/163.15 [4129]E(f179(x41291,f326(f326(f154(f921(x41292),f921(x41291)),f326(f154(x41292,x41291),x41293)),x41294)),f326(f326(f154(f921(x41292),f921(x41291)),f326(f154(x41292,x41291),x41293)),f179(x41292,x41294)))
% 163.42/163.15 [4148]E(f326(f142(f921(x41481),f921(x41481),f134(x41481),f113(x41481)),f326(f326(f154(x41482,f921(x41481)),x41483),x41484)),f163(x41482,x41481,x41483,x41484))
% 163.42/163.15 [4209]E(f326(f72(x42091,x42091,x42091,f326(f326(f183(x42091,x42091),x42092),x42093)),f326(f326(f183(x42091,x42091),x42094),x42093)),f326(f326(f183(x42091,x42091),f326(f326(f79(a920),x42092),x42094)),x42093))
% 163.42/163.15 [4232]E(f326(f326(f101(f928(x42321,a916)),f326(f326(f110(f928(x42321,a916)),x42322),x42323)),f326(f326(f110(f928(x42321,a916)),x42322),x42324)),f326(f326(f110(f928(x42321,a916)),x42322),f326(f326(f101(f928(x42321,a916)),x42323),x42324)))
% 163.42/163.15 [4233]E(f326(f326(f101(f928(x42331,a916)),f326(f326(f3(f928(x42331,a916)),x42332),x42333)),f326(f326(f3(f928(x42331,a916)),x42332),x42334)),f326(f326(f3(f928(x42331,a916)),x42332),f326(f326(f110(f928(x42331,a916)),x42333),x42334)))
% 163.42/163.15 [4234]E(f326(f326(f110(f928(x42341,a916)),f326(f326(f3(f928(x42341,a916)),x42342),x42343)),f326(f326(f3(f928(x42341,a916)),x42342),x42344)),f326(f326(f3(f928(x42341,a916)),x42342),f326(f326(f101(f928(x42341,a916)),x42343),x42344)))
% 163.42/163.15 [4235]E(f326(f326(f110(f928(x42351,a916)),f326(f326(f101(f928(x42351,a916)),x42352),x42353)),f326(f326(f101(f928(x42351,a916)),x42352),x42354)),f326(f326(f101(f928(x42351,a916)),x42352),f326(f326(f110(f928(x42351,a916)),x42353),x42354)))
% 163.42/163.15 [4236]E(f326(f326(f3(f928(x42361,a916)),f326(f326(f101(f928(x42361,a916)),x42362),x42363)),f326(f326(f101(f928(x42361,a916)),x42362),x42364)),f326(f326(f101(f928(x42361,a916)),x42362),f326(f326(f3(f928(x42361,a916)),x42363),x42364)))
% 163.42/163.15 [4241]E(f326(f34(f927(x42411,x42412)),f326(f326(f253(x42411,x42412),f326(f326(f308(x42411),x42413),f189(f928(x42411,a916)))),f326(f18(f928(x42412,a916),x42411),x42414))),f326(f34(x42412),x42414))
% 163.42/163.15 [4276]E(f326(f326(f39(x42761,f928(x42762,a916)),x42763),f326(f326(f10(f928(x42762,a916),f928(x42762,a916),x42761),f78(f928(x42762,a916))),x42764)),f326(f78(f928(x42762,a916)),f326(f326(f38(x42761,f928(x42762,a916)),x42763),x42764)))
% 163.42/163.15 [4277]E(f326(f326(f38(x42771,f928(x42772,a916)),x42773),f326(f326(f10(f928(x42772,a916),f928(x42772,a916),x42771),f78(f928(x42772,a916))),x42774)),f326(f78(f928(x42772,a916)),f326(f326(f39(x42771,f928(x42772,a916)),x42773),x42774)))
% 163.42/163.15 [4293]E(f326(f326(f288(x42931,x42931,x42931),f326(f326(f183(f927(x42931,x42931),a916),x42932),x42933)),f326(f326(f183(f927(x42931,x42931),a916),x42934),x42933)),f326(f326(f183(f927(x42931,x42931),a916),f326(f326(f79(a920),x42932),x42934)),x42933))
% 163.42/163.15 [4323]E(f326(f326(f38(x43231,f928(f928(x43232,a916),a916)),x43233),f326(f326(f10(f928(x43232,a916),f928(f928(x43232,a916),a916),x43231),f307(x43232)),x43234)),f326(f307(x43232),f326(f326(f38(x43231,f928(x43232,a916)),x43233),x43234)))
% 163.42/163.15 [4352]E(f326(f326(f38(f928(x43521,a916),f928(x43522,a916)),x43523),f326(f326(f9(f928(x43521,a916),f928(x43521,f928(x43522,a916)),f928(x43522,a916)),f38(x43521,f928(x43522,a916))),x43524)),f326(f326(f38(x43521,f928(x43522,a916)),f36(f928(x43521,a916),x43523)),x43524))
% 163.42/163.15 [4353]E(f326(f326(f39(f928(x43531,a916),f928(x43532,a916)),x43533),f326(f326(f9(f928(x43531,a916),f928(x43531,f928(x43532,a916)),f928(x43532,a916)),f39(x43531,f928(x43532,a916))),x43534)),f326(f326(f39(x43531,f928(x43532,a916)),f36(f928(x43531,a916),x43533)),x43534))
% 163.42/163.15 [4358]E(f326(f326(f154(x43581,x43582),x43583),f326(f142(f921(x43581),f921(x43581),f134(x43581),f113(x43581)),x43584)),f326(f142(f921(x43582),f921(x43582),f134(x43582),f113(x43582)),f326(f326(f154(f921(x43581),f921(x43582)),f326(f154(x43581,x43582),x43583)),x43584)))
% 163.42/163.15 [4360]E(f185(f921(x43601),f113(x43601),f326(f326(f10(f921(x43601),f921(x43601),a920),f326(f151(x43601),x43602)),f326(f326(f9(a920,f921(x43601),f921(x43601)),f175(x43601)),x43603)),x43604),f326(f326(f175(x43601),x43604),f326(f326(f151(x43601),x43602),x43603)))
% 163.42/163.15 [4398]P106(f326(f326(f234(f928(x43981,a916)),f326(f309(x43982,x43981,x43983),f326(f310(x43982,x43981,x43983),x43984))),x43984))
% 163.42/163.15 [4400]E(f326(f309(f927(x44001,x44002),f927(x44002,x44001),f326(f256(x44001,x44002,f927(x44002,x44001)),f326(f9(x44002,x44001,f927(x44002,x44001)),f251(x44002,x44001)))),f326(f326(f253(x44001,x44002),x44003),f326(f18(f928(x44002,a916),x44001),x44004))),f326(f326(f253(x44002,x44001),x44004),f326(f18(f928(x44001,a916),x44002),x44003)))
% 163.42/163.15 [4410]E(f326(f326(f39(x44101,f928(x44102,a916)),x44103),f326(f326(f10(f928(x44101,a916),f928(x44102,a916),x44101),f310(x44102,x44101,x44104)),f326(f326(f9(x44101,f928(x44101,a916),f928(x44101,a916)),f308(x44101)),f189(f928(x44101,a916))))),f326(f310(x44102,x44101,x44104),x44103))
% 163.42/163.15 [4411]E(f326(f326(f39(x44111,f928(x44112,a916)),x44113),f326(f326(f10(f928(x44111,a916),f928(x44112,a916),x44111),f284(x44111,x44112,x44114)),f326(f326(f9(x44111,f928(x44111,a916),f928(x44111,a916)),f308(x44111)),f189(f928(x44111,a916))))),f326(f284(x44111,x44112,x44114),x44113))
% 163.42/163.15 [4498]E(f326(f326(f110(f928(x44981,a916)),f326(f326(f110(f928(x44981,a916)),f326(f326(f101(f928(x44981,a916)),x44982),x44983)),f326(f326(f101(f928(x44981,a916)),x44983),x44984))),f326(f326(f101(f928(x44981,a916)),x44984),x44982)),f326(f326(f101(f928(x44981,a916)),f326(f326(f101(f928(x44981,a916)),f326(f326(f110(f928(x44981,a916)),x44982),x44983)),f326(f326(f110(f928(x44981,a916)),x44983),x44984))),f326(f326(f110(f928(x44981,a916)),x44984),x44982)))
% 163.42/163.15 [4562]E(f326(f142(f921(x45621),f921(x45621),f134(x45621),f113(x45621)),f326(f326(f154(x45622,f921(x45621)),f326(f326(f9(x45622,f921(x45621),f921(x45621)),f326(f326(f10(x45621,f928(f921(x45621),f921(x45621)),x45622),f151(x45621)),x45623)),f113(x45621))),x45624)),f326(f326(f154(x45622,x45621),x45623),x45624))
% 163.42/163.15 [4572]E(f326(f326(f85(a1,x45721),f326(f103(a1),f326(f326(f79(a1),x45722),a97))),f326(f326(f20(a1,x45721,x45721),f326(f326(f9(a1,x45721,f928(x45721,x45721)),f326(f326(f10(a916,f928(x45721,f928(x45721,x45721)),a1),f96(x45721)),a194)),x45723)),f326(f326(f10(a920,x45721,a1),x45724),a104))),f185(x45721,x45723,x45724,f326(f103(a920),x45722)))
% 163.42/163.15 [4603]E(f326(f261(x46031),f326(f326(f10(f928(x46032,a916),a916,x46031),f86(x46032)),f326(f326(f10(f928(x46032,a916),f928(x46032,a916),x46031),f326(f20(x46032,a916,a916),f326(f326(f10(a916,f928(a916,a916),x46032),a324),f326(f326(f9(x46032,f928(x46032,a916),a916),f328(x46032)),x46033)))),f326(f9(x46032,x46031,a916),x46034)))),f326(f284(x46032,x46031,f326(f261(f927(x46032,x46031)),f326(f256(x46032,x46031,a916),x46034))),x46033))
% 163.42/163.15 [4758]~P106(f326(f326(f189(f928(x47581,f928(x47582,a916))),x47583),x47584))
% 163.42/163.15 [4058]E(f326(f326(f164(x40581),f326(f326(f134(x40581),x40582),x40583)),f326(f326(f79(a920),f326(f190(f921(x40581)),x40582)),x40584)),f326(f326(f164(x40581),x40583),x40584))
% 163.42/163.15 [4063]E(f326(f326(f138(x40631),x40632),f326(f326(f175(x40631),f326(f326(f79(a920),x40633),x40632)),x40634)),f326(f326(f175(x40631),x40633),f326(f326(f138(x40631),x40632),x40634)))
% 163.42/163.15 [4164]E(f326(f326(f110(f928(x41641,a916)),f326(f283(x41642,x41641),x41643)),f326(f283(x41642,x41641),x41644)),f326(f283(x41642,x41641),f326(f326(f110(f928(f927(x41642,x41641),a916)),x41643),x41644)))
% 163.42/163.15 [4165]E(f326(f326(f110(f928(x41651,a916)),f326(f263(x41651,x41652),x41653)),f326(f263(x41651,x41652),x41654)),f326(f263(x41651,x41652),f326(f326(f110(f928(f927(x41651,x41652),a916)),x41653),x41654)))
% 163.42/163.15 [4170]E(f326(f326(f110(f928(x41701,a916)),f326(f326(f110(f928(x41701,a916)),x41702),x41703)),x41704),f326(f326(f110(f928(x41701,a916)),x41702),f326(f326(f110(f928(x41701,a916)),x41703),x41704)))
% 163.42/163.15 [4171]E(f326(f326(f3(f928(x41711,a916)),f326(f326(f101(f928(x41711,a916)),x41712),x41713)),x41714),f326(f326(f101(f928(x41711,a916)),x41712),f326(f326(f3(f928(x41711,a916)),x41713),x41714)))
% 163.42/163.15 [4172]E(f326(f326(f101(f928(x41721,a916)),f326(f326(f101(f928(x41721,a916)),x41722),x41723)),x41724),f326(f326(f101(f928(x41721,a916)),x41722),f326(f326(f101(f928(x41721,a916)),x41723),x41724)))
% 163.42/163.15 [4211]E(f326(f326(f110(f928(f927(x42111,x42112),a916)),f326(f285(x42112,x42111),x42113)),f326(f285(x42112,x42111),x42114)),f326(f285(x42112,x42111),f326(f326(f110(f928(f927(x42112,x42111),a916)),x42113),x42114)))
% 163.42/163.15 [4212]E(f326(f326(f101(f928(f927(x42121,x42122),a916)),f326(f285(x42122,x42121),x42123)),f326(f285(x42122,x42121),x42124)),f326(f285(x42122,x42121),f326(f326(f101(f928(f927(x42122,x42121),a916)),x42123),x42124)))
% 163.42/163.15 [4225]E(f326(f326(f110(f928(x42251,f928(x42252,a916))),f242(x42252,x42251,x42253)),f242(x42252,x42251,x42254)),f242(x42252,x42251,f326(f326(f110(f928(x42252,f928(x42251,a916))),x42253),x42254)))
% 163.42/163.15 [4226]E(f326(f326(f101(f928(x42261,f928(x42262,a916))),f242(x42262,x42261,x42263)),f242(x42262,x42261,x42264)),f242(x42262,x42261,f326(f326(f101(f928(x42262,f928(x42261,a916))),x42263),x42264)))
% 163.42/163.15 [4280]E(f326(f326(f101(f928(x42801,a916)),f326(f326(f110(f928(x42801,a916)),x42802),x42803)),f326(f326(f110(f928(x42801,a916)),x42804),x42803)),f326(f326(f110(f928(x42801,a916)),f326(f326(f101(f928(x42801,a916)),x42802),x42804)),x42803))
% 163.42/163.15 [4281]E(f326(f326(f110(f928(x42811,a916)),f326(f326(f3(f928(x42811,a916)),x42812),x42813)),f326(f326(f3(f928(x42811,a916)),x42814),x42813)),f326(f326(f3(f928(x42811,a916)),f326(f326(f110(f928(x42811,a916)),x42812),x42814)),x42813))
% 163.42/163.15 [4282]E(f326(f326(f110(f928(x42821,a916)),f326(f326(f101(f928(x42821,a916)),x42822),x42823)),f326(f326(f101(f928(x42821,a916)),x42824),x42823)),f326(f326(f101(f928(x42821,a916)),f326(f326(f110(f928(x42821,a916)),x42822),x42824)),x42823))
% 163.42/163.15 [4283]E(f326(f326(f3(f928(x42831,a916)),f326(f326(f101(f928(x42831,a916)),x42832),x42833)),f326(f326(f101(f928(x42831,a916)),x42834),x42833)),f326(f326(f101(f928(x42831,a916)),f326(f326(f3(f928(x42831,a916)),x42832),x42834)),x42833))
% 163.42/163.15 [4284]E(f326(f326(f3(f928(x42841,a916)),f326(f326(f101(f928(x42841,a916)),x42842),x42843)),f326(f326(f101(f928(x42841,a916)),x42844),x42843)),f326(f326(f3(f928(x42841,a916)),f326(f326(f101(f928(x42841,a916)),x42842),x42843)),x42844))
% 163.42/163.15 [4296]E(f326(f326(f3(f928(x42961,a916)),f326(f326(f3(f928(x42961,a916)),x42962),f326(f326(f308(x42961),x42963),f189(f928(x42961,a916))))),x42964),f326(f326(f3(f928(x42961,a916)),x42962),f326(f326(f308(x42961),x42963),x42964)))
% 163.42/163.15 [4349]E(f326(f326(f110(f928(x43491,a916)),f326(f326(f308(x43491),x43492),f326(f326(f308(x43491),x43493),f189(f928(x43491,a916))))),f326(f280(x43491),x43494)),f326(f280(x43491),f326(f326(f308(f927(x43491,x43491)),f326(f326(f251(x43491,x43491),x43492),x43493)),x43494)))
% 163.42/163.15 [4374]E(f326(f326(f39(a920,f928(x43741,a916)),f326(f300(a920),x43742)),f326(f326(f10(a920,f928(x43741,a916),a920),x43743),f326(f326(f9(a920,a920,a920),f79(a920)),x43744))),f326(f326(f39(a920,f928(x43741,a916)),f302(a920,x43744,f326(f326(f79(a920),x43742),x43744))),x43743))
% 163.42/163.15 [4375]E(f174(x43751,f326(f284(x43751,x43751,x43752),f326(f326(f308(x43751),x43753),f189(f928(x43751,a916)))),f326(f284(f921(x43751),f921(x43751),f158(x43751,x43752)),f326(f326(f308(f921(x43751)),x43754),f189(f928(f921(x43751),a916))))),f326(f284(f921(x43751),f921(x43751),f158(x43751,x43752)),f326(f326(f308(f921(x43751)),f326(f326(f151(x43751),x43753),x43754)),f189(f928(f921(x43751),a916)))))
% 163.42/163.15 [4440]E(f326(f261(x44401),f326(f326(f9(x44401,f928(x44402,a916),a916),f326(f326(f10(x44402,f928(f928(x44402,a916),a916),x44401),f328(x44402)),x44403)),x44404)),f326(f310(x44401,x44402,x44403),x44404))
% 163.42/163.15 [4531]E(f326(f261(x45311),f326(f326(f9(x45311,f928(f927(x45312,x45311),a916),a916),f326(f326(f10(f927(x45312,x45311),f928(f928(f927(x45312,x45311),a916),a916),x45311),f328(f927(x45312,x45311))),f326(f251(x45312,x45311),x45313))),x45314)),f326(f284(x45312,x45311,x45314),f326(f326(f308(x45312),x45313),f189(f928(x45312,a916)))))
% 163.42/163.15 [4545]E(f326(f326(f154(f927(x45451,a920),x45451),f250(x45451,a920)),f326(f136(f927(x45451,a920),f326(f326(f10(a920,a916,f927(x45451,a920)),x45452),f326(f326(f10(a920,a920,f927(x45451,a920)),a112),f255(x45451,a920)))),f326(f326(f181(x45451,a920),x45453),x45454))),f326(f326(f154(f927(x45451,a920),x45451),f250(x45451,a920)),f326(f136(f927(x45451,a920),f326(f326(f10(a920,a916,f927(x45451,a920)),x45452),f255(x45451,a920))),f326(f326(f181(x45451,a920),x45453),f326(f326(f154(a920,a920),a112),x45454)))))
% 163.42/163.15 [4554]P106(f326(f326(f234(f928(f928(x45541,a916),a916)),f326(f326(f39(x45542,f928(f928(x45541,a916),a916)),x45543),f326(f326(f10(f928(x45541,a916),f928(f928(x45541,a916),a916),x45542),f307(x45541)),x45544))),f326(f307(x45541),f326(f326(f39(x45542,f928(x45541,a916)),x45543),x45544))))
% 163.42/163.15 [4595]E(f326(f326(f85(a1,x45951),f326(f103(a1),f326(f326(f79(a1),x45952),a97))),f326(f326(f20(a1,x45951,x45951),f326(f326(f9(a1,x45951,f928(x45951,x45951)),f326(f326(f10(a916,f928(x45951,f928(x45951,x45951)),a1),f96(x45951)),a194)),x45953)),f326(f326(f20(a1,x45951,x45951),f326(f326(f10(a920,f928(x45951,x45951),a1),x45954),a104)),f326(f326(f10(a920,x45951,a1),f184(x45951,x45953,x45954)),a104)))),f326(f184(x45951,x45953,x45954),f326(f103(a920),x45952)))
% 163.42/163.15 [4619]E(f326(f261(f927(x46191,x46192)),f326(f256(x46191,x46192,a916),f326(f326(f9(x46191,f928(x46192,a916),f928(x46192,a916)),f326(f326(f10(f928(a916,a916),f928(f928(x46192,a916),f928(x46192,a916)),x46191),f10(a916,a916,x46192)),f326(f326(f10(a916,f928(a916,a916),x46191),a324),f326(f326(f9(x46191,f928(x46191,a916),a916),f328(x46191)),x46193)))),f326(f326(f9(x46192,f928(x46192,a916),a916),f328(x46192)),x46194)))),f230(x46191,x46192,x46193,x46194))
% 163.42/163.15 [4655]E(f326(f326(f39(x46551,f928(f927(x46551,x46552),a916)),x46553),f326(f326(f20(x46551,f928(x46552,f928(f927(x46551,x46552),a916)),f928(f927(x46551,x46552),a916)),f326(f326(f10(f928(x46552,a916),f928(f928(x46552,f928(f927(x46551,x46552),a916)),f928(f927(x46551,x46552),a916)),x46551),f39(x46552,f928(f927(x46551,x46552),a916))),x46554)),f326(f326(f9(x46551,f928(f927(x46551,x46552),a916),f928(x46552,f928(f927(x46551,x46552),a916))),f326(f326(f10(f928(x46552,f928(f928(f927(x46551,x46552),a916),f928(f927(x46551,x46552),a916))),f928(f928(f927(x46551,x46552),a916),f928(x46552,f928(f927(x46551,x46552),a916))),x46551),f9(x46552,f928(f927(x46551,x46552),a916),f928(f927(x46551,x46552),a916))),f326(f326(f10(f928(x46552,f927(x46551,x46552)),f928(x46552,f928(f928(f927(x46551,x46552),a916),f928(f927(x46551,x46552),a916))),x46551),f326(f10(f927(x46551,x46552),f928(f928(f927(x46551,x46552),a916),f928(f927(x46551,x46552),a916)),x46552),f308(f927(x46551,x46552)))),f251(x46551,x46552)))),f189(f928(f927(x46551,x46552),a916))))),f326(f326(f253(x46551,x46552),x46553),x46554))
% 163.42/163.15 [4220]E(f326(f326(f134(x42201),f326(f326(f175(x42201),x42202),x42203)),f326(f326(f175(x42201),f326(f326(f3(a920),x42202),f326(f190(f921(x42201)),x42203))),x42204)),f326(f326(f175(x42201),x42202),f326(f326(f134(x42201),x42203),x42204)))
% 163.42/163.15 [4221]E(f326(f326(f134(x42211),f326(f326(f138(x42211),x42212),x42213)),f326(f326(f138(x42211),f326(f326(f3(a920),x42212),f326(f190(f921(x42211)),x42213))),x42214)),f326(f326(f138(x42211),x42212),f326(f326(f134(x42211),x42213),x42214)))
% 163.42/163.15 [4270]E(f326(f326(f79(a920),f326(f326(f80(a920),x42701),x42702)),f326(f326(f79(a920),f326(f326(f80(a920),x42703),x42702)),x42704)),f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f79(a920),x42701),x42703)),x42702)),x42704))
% 163.42/163.15 [4416]E(f89(x44161,f326(f326(f9(x44161,x44162,a916),f326(f326(f10(x44162,f928(x44162,a916),x44161),a323),x44163)),x44164)),f326(f91(x44161,x44162,f241(f928(x44161,a916)),x44163),x44164))
% 163.42/163.15 [4464]P106(f326(f326(f234(f928(x44641,a916)),f326(f326(f3(f928(x44641,a916)),f326(f283(x44642,x44641),x44643)),f326(f283(x44642,x44641),x44644))),f326(f283(x44642,x44641),f326(f326(f3(f928(f927(x44642,x44641),a916)),x44643),x44644))))
% 163.42/163.15 [4465]P106(f326(f326(f234(f928(x44651,a916)),f326(f326(f3(f928(x44651,a916)),f326(f263(x44651,x44652),x44653)),f326(f263(x44651,x44652),x44654))),f326(f263(x44651,x44652),f326(f326(f3(f928(f927(x44651,x44652),a916)),x44653),x44654))))
% 163.42/163.15 [4574]E(f326(f326(f79(a1),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x45741),x45742)),f189(f928(f927(a920,a920),a916)))))),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x45743),x45744)),f189(f928(f927(a920,a920),a916)))))),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),f326(f326(f79(a920),x45741),x45743)),f326(f326(f79(a920),x45742),x45744))),f189(f928(f927(a920,a920),a916))))))
% 163.42/163.15 [4614]E(f326(f326(f80(a1),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x46141),x46142)),f189(f928(f927(a920,a920),a916)))))),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x46143),x46144)),f189(f928(f927(a920,a920),a916)))))),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),f326(f326(f79(a920),f326(f326(f80(a920),x46141),x46143)),f326(f326(f80(a920),x46142),x46144))),f326(f326(f79(a920),f326(f326(f80(a920),x46141),x46144)),f326(f326(f80(a920),x46142),x46143)))),f189(f928(f927(a920,a920),a916))))))
% 163.42/163.15 [4635]E(f326(f261(x46351),f326(f326(f10(f928(x46352,a916),a916,x46351),f87(x46352)),f326(f326(f10(f928(x46352,a916),f928(x46352,a916),x46351),f326(f20(x46352,a916,a916),f326(f326(f10(a916,f928(a916,a916),x46352),a329),f326(f326(f9(x46352,f928(x46352,a916),a916),f328(x46352)),x46353)))),f326(f326(f9(x46351,f928(x46352,f928(x46351,a916)),f928(x46352,a916)),f326(f326(f10(f928(f928(x46351,a916),a916),f928(f928(x46352,f928(x46351,a916)),f928(x46352,a916)),x46351),f10(f928(x46351,a916),a916,x46352)),f328(x46351))),x46354)))),f326(f326(f38(x46352,f928(x46351,a916)),x46353),x46354))
% 163.42/163.15 [4668]E(f326(f326(f288(x46681,x46681,x46681),f326(f326(f308(f927(x46681,x46681)),f326(f326(f251(x46681,x46681),x46682),x46683)),x46684)),f306(x46681,f326(f326(f308(f927(x46681,x46681)),f326(f326(f251(x46681,x46681),x46682),x46683)),x46684))),f326(f326(f110(f928(f927(x46681,x46681),a916)),f326(f326(f288(x46681,x46681,x46681),x46684),f306(x46681,x46684))),f326(f261(f927(x46681,x46681)),f326(f256(x46681,x46681,a916),f326(f326(f9(x46681,f928(x46681,a916),f928(x46681,a916)),f326(f326(f10(f928(a916,a916),f928(f928(x46681,a916),f928(x46681,a916)),x46681),f10(a916,a916,x46681)),f326(f326(f10(a916,f928(a916,a916),x46681),a324),f326(f326(f9(x46681,f928(f927(x46681,x46681),a916),a916),f326(f326(f10(f927(x46681,x46681),f928(f928(f927(x46681,x46681),a916),a916),x46681),f328(f927(x46681,x46681))),f326(f326(f9(x46681,x46681,f927(x46681,x46681)),f251(x46681,x46681)),x46682))),f306(x46681,x46684))))),f326(f326(f9(x46681,f928(f927(x46681,x46681),a916),a916),f326(f326(f10(f927(x46681,x46681),f928(f928(f927(x46681,x46681),a916),a916),x46681),f328(f927(x46681,x46681))),f326(f251(x46681,x46681),x46683))),f306(x46681,x46684)))))))
% 163.42/163.15 [4466]E(f326(f136(x44661,f326(f326(f20(x44661,a916,a916),f326(f326(f10(a916,f928(a916,a916),x44661),a324),x44662)),x44663)),x44664),f326(f136(x44661,x44663),f326(f136(x44661,x44662),x44664)))
% 163.42/163.15 [4568]E(f326(f326(f134(x45681),f326(f326(f326(f96(f921(x45681)),f326(f326(f328(a920),f2(a920)),x45682)),f326(f326(f151(x45681),x45683),f113(x45681))),f113(x45681))),f176(x45681,x45684,f326(f261(a920),f326(f326(f9(a920,f928(a920,a916),a916),f326(f326(f10(a920,f928(f928(a920,a916),a916),a920),f328(a920)),a112)),x45682)))),f176(x45681,f326(f326(f151(x45681),x45683),x45684),x45682))
% 163.42/163.15 [4664]E(f326(f261(f927(x46641,x46642)),f326(f326(f10(f928(a920,a916),a916,f927(x46641,x46642)),f86(a920)),f326(f326(f9(f927(x46641,x46642),f928(a920,a916),f928(a920,a916)),f326(f326(f10(f928(a920,f928(a916,a916)),f928(f928(a920,a916),f928(a920,a916)),f927(x46641,x46642)),f20(a920,a916,a916)),f326(f326(f10(f928(a920,a916),f928(a920,f928(a916,a916)),f927(x46641,x46642)),f326(f10(a916,f928(a916,a916),a920),a324)),f326(f326(f9(f927(x46641,x46642),f928(a920,f927(x46641,x46642)),f928(a920,a916)),f326(f326(f10(f928(f927(x46641,x46642),a916),f928(f928(a920,f927(x46641,x46642)),f928(a920,a916)),f927(x46641,x46642)),f10(f927(x46641,x46642),a916,a920)),a323)),f326(f326(f20(a920,x46642,f927(x46641,x46642)),f326(f326(f10(x46641,f928(x46642,f927(x46641,x46642)),a920),f251(x46641,x46642)),f326(f164(x46641),x46643))),f326(f164(x46642),x46644)))))),f326(f326(f9(a920,a920,a916),f235(a920)),f326(f326(f188(a920),f326(f190(f921(x46641)),x46643)),f326(f190(f921(x46642)),x46644)))))),f326(f172(f927(x46641,x46642)),f326(f326(f181(x46641,x46642),x46643),x46644)))
% 163.42/163.15 [4587]E(f326(f261(f927(x45871,x45872)),f326(f256(x45871,x45872,a916),f326(f326(f9(x45871,f928(x45872,a916),f928(x45872,a916)),f326(f326(f10(f928(a916,a916),f928(f928(x45872,a916),f928(x45872,a916)),x45871),f10(a916,a916,x45872)),f326(f326(f10(a916,f928(a916,a916),x45871),a324),x45873))),x45874))),f326(f326(f253(x45871,x45872),f326(f261(x45871),x45873)),f326(f18(f928(x45872,a916),x45871),f326(f261(x45872),x45874))))
% 163.42/163.15 [4590]E(f326(f261(f927(x45901,x45902)),f326(f256(x45901,x45902,a916),f326(f326(f20(x45901,f928(x45902,a916),f928(x45902,a916)),f326(f326(f10(f928(a916,a916),f928(f928(x45902,a916),f928(x45902,a916)),x45901),f10(a916,a916,x45902)),f326(f326(f10(a916,f928(a916,a916),x45901),a324),x45903))),x45904))),f326(f326(f253(x45901,x45902),f326(f261(x45901),x45903)),f326(f326(f10(f928(x45902,a916),f928(x45902,a916),x45901),f261(x45902)),x45904)))
% 163.42/163.15 [4602]E(f326(f261(x46021),f326(f326(f10(f928(x46022,a916),a916,x46021),f87(x46022)),f326(f326(f10(f928(x46022,a916),f928(x46022,a916),x46021),f326(f20(x46022,a916,a916),f326(f326(f10(a916,f928(a916,a916),x46022),a329),f326(f326(f9(x46022,f928(x46022,a916),a916),f328(x46022)),x46023)))),x46024))),f326(f326(f38(x46022,f928(x46021,a916)),x46023),f326(f326(f10(f928(x46021,a916),f928(x46021,a916),x46022),f261(x46021)),f326(f9(x46021,x46022,a916),x46024))))
% 163.42/163.15 [4647]E(f326(f326(f154(f927(x46471,a920),x46471),f250(x46471,a920)),f326(f136(f927(x46471,a920),f326(f326(f9(f927(x46471,a920),f928(a920,a916),a916),f326(f326(f10(a920,f928(f928(a920,a916),a916),f927(x46471,a920)),f328(a920)),f255(x46471,a920))),x46472)),f326(f326(f181(x46471,a920),x46473),f139(a920,f326(f301(a920,x46474),f326(f326(f79(a920),x46474),f326(f190(f921(x46471)),x46473))))))),f326(f326(f154(f927(x46471,a920),x46471),f250(x46471,a920)),f326(f136(f927(x46471,a920),f326(f326(f9(f927(x46471,a920),f928(a920,a916),a916),f326(f326(f10(a920,f928(f928(a920,a916),a916),f927(x46471,a920)),f328(a920)),f326(f326(f9(f927(x46471,a920),a920,a920),f326(f326(f10(a920,f928(a920,a920),f927(x46471,a920)),f79(a920)),f255(x46471,a920))),x46474))),x46472)),f326(f326(f181(x46471,a920),x46473),f139(a920,f326(f301(a920,f2(a920)),f326(f190(f921(x46471)),x46473)))))))
% 163.42/163.15 [4648]E(f326(a112,f326(f326(f233(a920),f326(f190(f921(x46481)),x46482)),f326(f142(a920,f921(x46483),f326(f9(f921(x46483),a920,a920),f326(f326(f10(a920,f928(a920,a920),f921(x46483)),f233(a920)),f326(f326(f9(f921(x46483),a920,a920),f326(f326(f10(a920,f928(a920,a920),f921(x46483)),f3(a920)),f190(f921(x46483)))),f326(a112,f2(a920))))),f2(a920)),f326(f168(f921(x46483)),f326(f136(f921(x46483),f326(f326(f10(a916,a916,f921(x46483)),a321),f326(f326(f9(f921(x46483),f921(x46483),a916),a323),f113(x46483)))),x46484))))),f326(f326(f233(a920),f326(a112,f326(f190(f921(x46481)),x46482))),f326(f142(a920,f921(x46483),f326(f9(f921(x46483),a920,a920),f326(f326(f10(a920,f928(a920,a920),f921(x46483)),f233(a920)),f190(f921(x46483)))),f2(a920)),f326(f168(f921(x46483)),x46484))))
% 163.42/163.15 [4601]E(f326(f326(f134(x46011),f176(x46011,x46012,x46013)),f176(x46011,x46014,f326(f261(a920),f326(f326(f9(a920,f928(a920,a916),a916),f326(f326(f10(a920,f928(f928(a920,a916),a916),a920),f328(a920)),f326(f326(f9(a920,a920,a920),f79(a920)),f326(f190(f921(x46011)),x46012)))),x46013)))),f176(x46011,f326(f326(f134(x46011),x46012),x46014),x46013))
% 163.42/163.15 [4649]E(f37(f928(x46491,a916),f326(f261(f928(x46491,a916)),f326(f326(f10(f928(x46492,a916),a916,f928(x46491,a916)),f86(x46492)),f326(f326(f10(f928(x46492,a916),f928(x46492,a916),f928(x46491,a916)),f326(f20(x46492,a916,a916),f326(f326(f10(a916,f928(a916,a916),x46492),a324),f326(f326(f9(x46492,f928(x46492,a916),a916),f328(x46492)),x46493)))),f326(f326(f9(f928(x46491,a916),f928(x46492,f928(x46491,a916)),f928(x46492,a916)),f326(f326(f10(f928(f928(x46491,a916),a916),f928(f928(x46492,f928(x46491,a916)),f928(x46492,a916)),f928(x46491,a916)),f10(f928(x46491,a916),a916,x46492)),a323)),x46494))))),f326(f326(f38(x46492,f928(x46491,a916)),x46493),x46494))
% 163.42/163.15 [4650]E(f36(f928(x46501,a916),f326(f261(f928(x46501,a916)),f326(f326(f10(f928(x46502,a916),a916,f928(x46501,a916)),f86(x46502)),f326(f326(f10(f928(x46502,a916),f928(x46502,a916),f928(x46501,a916)),f326(f20(x46502,a916,a916),f326(f326(f10(a916,f928(a916,a916),x46502),a324),f326(f326(f9(x46502,f928(x46502,a916),a916),f328(x46502)),x46503)))),f326(f326(f9(f928(x46501,a916),f928(x46502,f928(x46501,a916)),f928(x46502,a916)),f326(f326(f10(f928(f928(x46501,a916),a916),f928(f928(x46502,f928(x46501,a916)),f928(x46502,a916)),f928(x46501,a916)),f10(f928(x46501,a916),a916,x46502)),a323)),x46504))))),f326(f326(f39(x46502,f928(x46501,a916)),x46503),x46504))
% 163.42/163.15 [4657]E(f326(f326(f151(f921(x46571)),f326(f326(f151(x46571),x46572),f326(f142(f921(x46571),f921(x46571),f134(x46571),f113(x46571)),f326(f326(f154(f921(x46571),f921(x46571)),f156(f921(x46571),x46571,f113(x46571),f326(f326(f10(f921(x46571),f928(f921(x46571),f921(x46571)),x46571),f18(f921(x46571),f921(x46571))),f326(f326(f9(x46571,f921(x46571),f921(x46571)),f151(x46571)),f113(x46571))))),x46573)))),f179(x46571,f326(f326(f151(f921(x46571)),x46574),f326(f142(f921(f921(x46571)),f921(f921(x46571)),f134(f921(x46571)),f113(f921(x46571))),f326(f326(f154(f921(x46571),f921(f921(x46571))),f156(f921(f921(x46571)),x46571,f113(f921(x46571)),f326(f18(f928(f921(x46571),f921(f921(x46571))),x46571),f326(f326(f9(f921(x46571),f921(f921(x46571)),f921(f921(x46571))),f151(f921(x46571))),f113(f921(x46571)))))),x46573))))),f179(x46571,f326(f326(f151(f921(x46571)),f326(f326(f151(x46571),x46572),x46574)),x46573)))
% 163.42/163.15 [4665]E(f326(f261(f927(x46651,x46651)),f326(f256(x46651,x46651,a916),f326(f326(f9(x46651,f928(f927(x46652,x46652),a916),f928(x46651,a916)),f326(f326(f10(f928(x46651,f928(f928(f927(x46652,x46652),a916),a916)),f928(f928(f927(x46652,x46652),a916),f928(x46651,a916)),x46651),f9(x46651,f928(f927(x46652,x46652),a916),a916)),f326(f326(f10(f928(x46651,f927(x46652,x46652)),f928(x46651,f928(f928(f927(x46652,x46652),a916),a916)),x46651),f326(f10(f927(x46652,x46652),f928(f928(f927(x46652,x46652),a916),a916),x46651),f328(f927(x46652,x46652)))),f326(f326(f9(x46651,f928(x46651,x46652),f928(x46651,f927(x46652,x46652))),f326(f326(f10(f928(x46652,f927(x46652,x46652)),f928(f928(x46651,x46652),f928(x46651,f927(x46652,x46652))),x46651),f10(x46652,f927(x46652,x46652),x46651)),f326(f326(f10(x46652,f928(x46652,f927(x46652,x46652)),x46651),f251(x46652,x46652)),x46653))),x46653)))),x46654))),f326(f326(f287(x46652,x46651),x46654),x46653))
% 163.42/163.15 [4711]~E(f30(x47111,x47112),f27(x47113,x47114,x47115))
% 163.42/163.15 [4712]~E(f30(x47121,x47122),f26(x47123,x47124,x47125))
% 163.42/163.15 [4713]~E(f29(x47131,x47132),f27(x47133,x47134,x47135))
% 163.42/163.15 [4714]~E(f29(x47141,x47142),f26(x47143,x47144,x47145))
% 163.42/163.15 [4715]~E(f27(x47151,x47152,x47153),f30(x47154,x47155))
% 163.42/163.15 [4716]~E(f27(x47161,x47162,x47163),f29(x47164,x47165))
% 163.42/163.15 [4717]~E(f26(x47171,x47172,x47173),f30(x47174,x47175))
% 163.42/163.15 [4718]~E(f26(x47181,x47182,x47183),f29(x47184,x47185))
% 163.42/163.15 [3793]E(f326(f326(f154(x37931,x37932),x37933),f169(x37931,x37934,x37935)),f169(x37932,x37934,f326(x37933,x37935)))
% 163.42/163.15 [4130]E(f130(x41301,x41302,x41303,f126(x41301,x41304,x41305)),f126(x41302,f326(x41303,x41304),f130(x41301,x41302,x41303,x41305)))
% 163.42/163.15 [4364]E(f326(f74(x43641,x43642,x43643,x43644,x43645),x43644),x43645)
% 163.42/163.15 [4417]E(f252(x44171,x44172,x44173,f242(x44172,x44171,x44174),f242(x44173,x44172,x44175)),f242(x44173,x44171,f252(x44173,x44172,x44171,x44175,x44174)))
% 163.42/163.15 [3987]E(f326(f326(f256(x39871,x39872,x39873),x39874),x39875),f326(f326(x39874,f326(f250(x39871,x39872),x39875)),f326(f255(x39871,x39872),x39875)))
% 163.42/163.15 [4023]E(f326(f326(f326(f64(x40231,x40232,x40233),x40234),x40235),f189(f928(x40232,a916))),x40235)
% 163.42/163.15 [4304]E(f326(f72(f921(x43041),f921(x43042),f921(x43043),f326(f154(x43041,x43042),x43044)),f326(f154(x43043,x43041),x43045)),f326(f154(x43043,x43042),f326(f72(x43041,x43042,x43043,x43044),x43045)))
% 163.42/163.15 [4378]E(f84(x43781,f65(x43782,x43781,x43783,x43784,x43785)),f326(f326(f63(x43782,x43781,x43783),x43784),x43785))
% 163.42/163.15 [4413]E(f326(f326(f79(a920),f326(f326(f79(a920),f326(x44131,f326(f250(x44132,x44133),x44134))),f326(x44135,f326(f255(x44132,x44133),x44134)))),f326(a112,f2(a920))),f260(x44132,x44133,x44131,x44135,x44134))
% 163.42/163.15 [3923]E(f326(f326(f175(x39231),x39232),f326(f326(f154(x39233,x39231),x39234),x39235)),f326(f326(f154(x39233,x39231),x39234),f326(f326(f175(x39233),x39232),x39235)))
% 163.42/163.15 [3924]E(f326(f326(f138(x39241),x39242),f326(f326(f154(x39243,x39241),x39244),x39245)),f326(f326(f154(x39243,x39241),x39244),f326(f326(f138(x39243),x39242),x39245)))
% 163.42/163.15 [3956]E(f326(f326(f154(x39561,x39562),x39563),f326(f326(f151(x39561),x39564),x39565)),f326(f326(f151(x39562),f326(x39563,x39564)),f326(f326(f154(x39561,x39562),x39563),x39565)))
% 163.42/163.15 [4017]E(f326(f309(x40171,x40172,x40173),f326(f326(f308(x40171),x40174),x40175)),f326(f326(f308(x40172),f326(x40173,x40174)),f326(f309(x40171,x40172,x40173),x40175)))
% 163.42/163.15 [4047]E(f173(x40471,f326(f326(f151(x40471),x40472),x40473),f326(f326(f151(x40471),x40474),x40475)),f326(f326(f151(x40471),x40472),f326(f326(f151(x40471),x40474),f173(x40471,x40473,x40475))))
% 163.42/163.15 [4084]E(f326(f326(f181(x40841,x40842),f326(f326(f175(x40841),x40843),x40844)),f326(f326(f175(x40842),x40843),x40845)),f326(f326(f175(f927(x40841,x40842)),x40843),f326(f326(f181(x40841,x40842),x40844),x40845)))
% 163.42/163.15 [4085]E(f326(f326(f181(x40851,x40852),f326(f326(f138(x40851),x40853),x40854)),f326(f326(f138(x40852),x40853),x40855)),f326(f326(f138(f927(x40851,x40852)),x40853),f326(f326(f181(x40851,x40852),x40854),x40855)))
% 163.42/163.15 [4095]E(f326(f326(f159(x40951,f326(f326(f151(x40951),x40952),x40953)),f326(a112,x40954)),x40955),f326(f326(f151(x40951),x40952),f326(f326(f159(x40951,x40953),x40954),x40955)))
% 163.42/163.15 [4098]E(f326(f326(f134(x40981),f326(f326(f154(x40982,x40981),x40983),x40984)),f326(f326(f154(x40982,x40981),x40983),x40985)),f326(f326(f154(x40982,x40981),x40983),f326(f326(f134(x40982),x40984),x40985)))
% 163.42/163.15 [4102]E(f326(f326(x41021,x41022),f326(f326(f244(x41023,x41024,x41021),x41022),x41025)),f326(f326(f244(x41023,x41024,x41021),x41022),f326(a112,x41025)))
% 163.42/163.15 [4134]E(f163(x41341,x41342,x41343,f326(f326(f151(x41341),x41344),x41345)),f326(f326(f134(x41342),f326(x41343,x41344)),f163(x41341,x41342,x41343,x41345)))
% 163.42/163.15 [4146]E(f326(f326(f288(x41461,x41462,x41463),f326(f285(x41462,x41461),x41464)),f326(f285(x41463,x41462),x41465)),f326(f285(x41463,x41461),f326(f326(f288(x41463,x41462,x41461),x41465),x41464)))
% 163.42/163.15 [4180]E(f326(f326(f326(f183(f921(x41801),f921(x41801)),x41802),f167(x41801)),f326(f326(f154(x41803,x41801),x41804),x41805)),f326(f326(f154(x41803,x41801),x41804),f326(f326(f326(f183(f921(x41803),f921(x41803)),x41802),f167(x41803)),x41805)))
% 163.42/163.15 [4181]E(f326(f326(f258(x41811,x41812,x41811,x41813),f326(f251(x41812,x41811),x41814)),x41815),f326(x41815,x41814))
% 163.42/163.15 [4206]E(f155(x42061,x42062,f326(f326(f154(x42063,x42061),x42064),x42065)),f155(x42063,f326(f72(x42061,a920,x42063,x42062),x42064),x42065))
% 163.42/163.15 [4269]E(f177(f927(x42691,x42692),f326(f72(x42692,a916,f927(x42691,x42692),x42693),f255(x42691,x42692)),f326(f326(f181(x42691,x42692),x42694),x42695)),f326(f326(f181(x42691,x42692),x42694),f177(x42692,x42693,x42695)))
% 163.42/163.15 [4274]E(f326(f309(x42741,x42742,f326(f326(f10(x42743,x42742,x42741),x42744),x42745)),f241(f928(x42741,a916))),f326(f309(x42743,x42742,x42744),f326(f309(x42741,x42743,x42745),f241(f928(x42741,a916)))))
% 163.42/163.15 [4287]E(f177(f927(x42871,x42872),f326(f72(x42871,a916,f927(x42871,x42872),x42873),f250(x42871,x42872)),f326(f326(f181(x42871,x42872),x42874),x42875)),f326(f326(f181(x42871,x42872),f177(x42871,x42873,x42874)),x42875))
% 163.42/163.15 [4308]E(f326(f326(f110(f928(x43081,a916)),f326(f310(x43081,x43082,x43083),f326(f326(f308(x43082),x43084),f189(f928(x43082,a916))))),f326(f310(x43081,x43082,x43083),x43085)),f326(f310(x43081,x43082,x43083),f326(f326(f308(x43082),x43084),x43085)))
% 163.42/163.15 [4363]E(f326(f326(f134(f927(x43631,x43632)),f326(f326(f154(x43632,f927(x43631,x43632)),f326(f251(x43631,x43632),x43633)),x43634)),f58(x43631,x43632,x43635,x43634)),f58(x43631,x43632,f326(f326(f151(x43631),x43633),x43635),x43634))
% 163.42/163.15 [4365]E(f326(f326(f154(x43651,x43652),x43653),f177(x43651,f326(f72(x43652,a916,x43651,x43654),x43653),x43655)),f177(x43652,x43654,f326(f326(f154(x43651,x43652),x43653),x43655)))
% 163.42/163.15 [4370]E(f326(f142(x43701,x43702,f326(f9(x43702,x43701,x43701),f326(f9(x43701,x43702,x43701),x43703)),x43704),f326(f168(x43702),f326(f168(x43702),x43705))),f326(f142(x43701,x43702,x43703,x43704),x43705))
% 163.42/163.15 [4474]P106(f326(f326(f234(f928(x44741,a916)),f326(f284(x44742,x44741,x44743),f326(f326(f101(f928(x44742,a916)),x44744),x44745))),f326(f326(f101(f928(x44741,a916)),f326(f284(x44742,x44741,x44743),x44744)),f326(f284(x44742,x44741,x44743),x44745))))
% 163.42/163.15 [4475]P106(f326(f326(f234(f928(x44751,a916)),f326(f309(x44752,x44751,x44753),f326(f326(f101(f928(x44752,a916)),x44754),x44755))),f326(f326(f101(f928(x44751,a916)),f326(f309(x44752,x44751,x44753),x44754)),f326(f309(x44752,x44751,x44753),x44755))))
% 163.42/163.15 [4575]E(f326(f255(x45751,x45752),f326(f257(x45753,x45751,x45752,x45752,x45754,f31(x45752)),x45755)),f326(f255(x45753,x45752),x45755))
% 163.42/163.15 [4576]E(f326(f250(x45761,x45762),f326(f257(x45761,x45761,x45763,x45762,f31(x45761),x45764),x45765)),f326(f250(x45761,x45763),x45765))
% 163.42/163.15 [4663]P25(x46631,x46632,f326(f326(f308(f919(x46631)),f326(f326(f326(f90(x46631),f326(f326(f9(x46631,f928(a918,a916),f928(a918,a916)),f326(f326(f10(f928(a918,f928(a916,a916)),f928(f928(a918,a916),f928(a918,a916)),x46631),f20(a918,a916,a916)),f326(f326(f10(f928(a918,a916),f928(a918,f928(a916,a916)),x46631),f326(f10(a916,f928(a916,a916),a918),a324)),x46633))),f326(f326(f10(a916,a916,a918),a321),x46634))),f29(x46634,x46635)),x46633)),f189(f928(f919(x46631),a916))))
% 163.42/163.15 [3763]E(f326(f326(f326(f326(f205(x37631),x37632),x37633),x37634),x37635),f193(x37631,x37632))
% 163.42/163.15 [3764]E(f326(f326(f326(f326(f209(x37641),x37642),x37643),x37644),x37645),f200(x37641,x37642))
% 163.42/163.15 [3809]E(f93(x38091,x38092,f326(f326(f326(f90(x38091),x38093),x38094),x38095)),f2(a920))
% 163.42/163.15 [4135]E(f326(f326(f38(x41351,f928(x41352,a916)),f326(f326(f308(x41351),x41353),x41354)),x41355),f326(f326(f101(f928(x41352,a916)),f326(x41355,x41353)),f326(f326(f38(x41351,f928(x41352,a916)),x41354),x41355)))
% 163.42/163.15 [4136]E(f326(f326(f39(x41361,f928(x41362,a916)),f326(f326(f308(x41361),x41363),x41364)),x41365),f326(f326(f110(f928(x41362,a916)),f326(x41365,x41363)),f326(f326(f39(x41361,f928(x41362,a916)),x41364),x41365)))
% 163.42/163.15 [4188]E(f326(f118(x41881,x41882,f326(x41883,x41884)),f326(f326(f9(x41881,a99,f922(x41882)),x41885),x41884)),f326(f198(x41881,x41882,x41883,x41885),x41884))
% 163.42/163.15 [4200]E(f326(f326(f110(f928(x42001,a916)),f326(f310(x42001,x42002,x42003),x42004)),f326(f310(x42001,x42002,x42003),x42005)),f326(f310(x42001,x42002,x42003),f326(f326(f110(f928(x42002,a916)),x42004),x42005)))
% 163.42/163.15 [4201]E(f326(f326(f3(f928(x42011,a916)),f326(f310(x42011,x42012,x42013),x42014)),f326(f310(x42011,x42012,x42013),x42015)),f326(f310(x42011,x42012,x42013),f326(f326(f3(f928(x42012,a916)),x42014),x42015)))
% 163.42/163.15 [4202]E(f326(f326(f101(f928(x42021,a916)),f326(f310(x42021,x42022,x42023),x42024)),f326(f310(x42021,x42022,x42023),x42025)),f326(f310(x42021,x42022,x42023),f326(f326(f101(f928(x42022,a916)),x42024),x42025)))
% 163.42/163.15 [4203]E(f326(f326(f110(f928(x42031,a916)),f326(f284(x42032,x42031,x42033),x42034)),f326(f284(x42032,x42031,x42033),x42035)),f326(f284(x42032,x42031,x42033),f326(f326(f110(f928(x42032,a916)),x42034),x42035)))
% 163.42/163.15 [4204]E(f326(f326(f110(f928(x42041,a916)),f326(f309(x42042,x42041,x42043),x42044)),f326(f309(x42042,x42041,x42043),x42045)),f326(f309(x42042,x42041,x42043),f326(f326(f110(f928(x42042,a916)),x42044),x42045)))
% 163.42/163.15 [4265]E(f326(f326(f159(x42651,f326(f326(f134(x42651),x42652),f326(f326(f151(x42651),x42653),x42654))),f326(f190(f921(x42651)),x42652)),x42655),f326(f326(f134(x42651),x42652),f326(f326(f151(x42651),x42655),x42654)))
% 163.42/163.15 [4272]E(f326(f326(f38(x42721,f928(x42722,a916)),x42723),f326(f326(f10(f928(x42722,a916),f928(x42722,a916),x42721),f326(f308(x42722),x42724)),x42725)),f326(f326(f308(x42722),x42724),f326(f326(f38(x42721,f928(x42722,a916)),x42723),x42725)))
% 163.42/163.15 [4426]E(f326(f326(f154(x44261,x44262),x44263),f326(f136(x44261,f326(f72(x44262,a916,x44261,x44264),x44263)),x44265)),f326(f136(x44262,x44264),f326(f326(f154(x44261,x44262),x44263),x44265)))
% 163.42/163.15 [4432]E(f326(f190(f921(x44321)),f326(f136(x44321,x44322),f326(f326(f154(x44323,x44321),x44324),x44325))),f326(f190(f921(x44323)),f326(f136(x44323,f326(f72(x44321,a916,x44323,x44322),x44324)),x44325)))
% 163.42/163.15 [4640]E(f326(f156(f921(f927(x46401,x46402)),x46402,f113(f927(x46401,x46402)),f326(f326(f9(x46402,f928(f921(x46402),f921(f927(x46401,x46402))),f928(f921(x46402),f921(f927(x46401,x46402)))),f326(f326(f10(f928(f921(f927(x46401,x46402)),f921(f927(x46401,x46402))),f928(f928(f921(x46402),f921(f927(x46401,x46402))),f928(f921(x46402),f921(f927(x46401,x46402)))),x46402),f10(f921(f927(x46401,x46402)),f921(f927(x46401,x46402)),f921(x46402))),f326(f326(f10(f927(x46401,x46402),f928(f921(f927(x46401,x46402)),f921(f927(x46401,x46402))),x46402),f151(f927(x46401,x46402))),f326(f251(x46401,x46402),x46403)))),f326(f181(x46401,x46402),x46404))),x46405),f326(f326(f181(x46401,x46402),f326(f326(f151(x46401),x46403),x46404)),x46405))
% 163.42/163.15 [4127]E(f326(f326(f159(x41271,f326(f326(f159(x41271,x41272),x41273),x41274)),x41273),x41275),f326(f326(f159(x41271,x41272),x41273),x41275))
% 163.42/163.15 [4182]E(f326(f283(x41821,x41822),f326(f326(f308(f927(x41821,x41822)),f326(f326(f251(x41821,x41822),x41823),x41824)),x41825)),f326(f326(f308(x41822),x41824),f326(f283(x41821,x41822),x41825)))
% 163.42/163.15 [4183]E(f326(f263(x41831,x41832),f326(f326(f308(f927(x41831,x41832)),f326(f326(f251(x41831,x41832),x41833),x41834)),x41835)),f326(f326(f308(x41831),x41833),f326(f263(x41831,x41832),x41835)))
% 163.42/163.15 [4230]E(f122(x42301,x42302,f326(x42303,x42304),f326(f326(f9(x42301,a99,f922(f924(x42302))),x42305),x42304)),f326(f196(x42301,x42302,x42303,x42305),x42304))
% 163.42/163.15 [4258]E(f326(f326(f110(f928(f927(x42581,x42582),a916)),f326(f326(f253(x42581,x42582),x42583),x42584)),f326(f326(f253(x42581,x42582),x42585),x42584)),f326(f326(f253(x42581,x42582),f326(f326(f110(f928(x42581,a916)),x42583),x42585)),x42584))
% 163.42/163.15 [4259]E(f326(f326(f3(f928(f927(x42591,x42592),a916)),f326(f326(f253(x42591,x42592),x42593),x42594)),f326(f326(f253(x42591,x42592),x42595),x42594)),f326(f326(f253(x42591,x42592),f326(f326(f3(f928(x42591,a916)),x42593),x42595)),x42594))
% 163.42/163.15 [4260]E(f326(f326(f101(f928(f927(x42601,x42602),a916)),f326(f326(f253(x42601,x42602),x42603),x42604)),f326(f326(f253(x42601,x42602),x42605),x42604)),f326(f326(f253(x42601,x42602),f326(f326(f101(f928(x42601,a916)),x42603),x42605)),x42604))
% 163.42/163.15 [4319]E(f326(f326(f101(f928(x43191,a916)),f326(f326(f38(x43192,f928(x43191,a916)),x43193),x43194)),f326(f326(f38(x43192,f928(x43191,a916)),x43195),x43194)),f326(f326(f38(x43192,f928(x43191,a916)),f326(f326(f110(f928(x43192,a916)),x43193),x43195)),x43194))
% 163.42/163.15 [4320]E(f326(f326(f110(f928(x43201,a916)),f326(f326(f39(x43202,f928(x43201,a916)),x43203),x43204)),f326(f326(f39(x43202,f928(x43201,a916)),x43205),x43204)),f326(f326(f39(x43202,f928(x43201,a916)),f326(f326(f110(f928(x43202,a916)),x43203),x43205)),x43204))
% 163.42/163.15 [4334]E(f326(f326(f38(x43341,f928(x43342,a916)),x43343),f326(f326(f10(f928(x43342,a916),f928(x43342,a916),x43341),f326(f110(f928(x43342,a916)),x43344)),x43345)),f326(f326(f110(f928(x43342,a916)),x43344),f326(f326(f38(x43341,f928(x43342,a916)),x43343),x43345)))
% 163.42/163.15 [4335]E(f326(f326(f39(x43351,f928(x43352,a916)),x43353),f326(f326(f10(f928(x43352,a916),f928(x43352,a916),x43351),f326(f3(f928(x43352,a916)),x43354)),x43355)),f326(f326(f3(f928(x43352,a916)),x43354),f326(f326(f38(x43351,f928(x43352,a916)),x43353),x43355)))
% 163.42/163.15 [4336]E(f326(f326(f39(x43361,f928(x43362,a916)),x43363),f326(f326(f10(f928(x43362,a916),f928(x43362,a916),x43361),f326(f101(f928(x43362,a916)),x43364)),x43365)),f326(f326(f101(f928(x43362,a916)),x43364),f326(f326(f39(x43361,f928(x43362,a916)),x43363),x43365)))
% 163.42/163.15 [4390]E(f185(f921(x43901),f326(f326(f151(x43901),x43902),x43903),f326(f326(f10(f921(x43901),f921(x43901),a920),f326(f151(x43901),x43904)),f326(f326(f9(a920,x43901,f921(x43901)),f159(x43901,x43903)),x43902)),x43905),f326(f326(f159(x43901,f326(f326(f151(x43901),x43904),x43903)),x43905),x43902))
% 163.42/163.15 [4394]E(f326(f326(f38(x43941,f928(f927(x43942,x43943),a916)),x43944),f326(f326(f10(f928(f927(x43943,x43942),a916),f928(f927(x43942,x43943),a916),x43941),f285(x43943,x43942)),x43945)),f326(f285(x43943,x43942),f326(f326(f38(x43941,f928(f927(x43943,x43942),a916)),x43944),x43945)))
% 163.42/163.15 [4395]E(f326(f326(f39(x43951,f928(f927(x43952,x43953),a916)),x43954),f326(f326(f10(f928(f927(x43953,x43952),a916),f928(f927(x43952,x43953),a916),x43951),f285(x43953,x43952)),x43955)),f326(f285(x43953,x43952),f326(f326(f39(x43951,f928(f927(x43953,x43952),a916)),x43954),x43955)))
% 163.42/163.15 [4497]P106(f326(f326(f234(f928(x44971,a916)),f326(f326(f3(f928(x44971,a916)),f326(f309(x44972,x44971,x44973),x44974)),f326(f309(x44972,x44971,x44973),x44975))),f326(f309(x44972,x44971,x44973),f326(f326(f3(f928(x44972,a916)),x44974),x44975))))
% 163.42/163.15 [4643]E(f326(f156(f921(f927(x46431,x46432)),x46431,f113(f927(x46431,x46432)),f326(f326(f9(x46431,f928(f921(x46431),f921(f927(x46431,x46432))),f928(f921(x46431),f921(f927(x46431,x46432)))),f326(f326(f10(f928(f921(f927(x46431,x46432)),f921(f927(x46431,x46432))),f928(f928(f921(x46431),f921(f927(x46431,x46432))),f928(f921(x46431),f921(f927(x46431,x46432)))),x46431),f10(f921(f927(x46431,x46432)),f921(f927(x46431,x46432)),f921(x46431))),f326(f326(f10(f927(x46431,x46432),f928(f921(f927(x46431,x46432)),f921(f927(x46431,x46432))),x46431),f151(f927(x46431,x46432))),f326(f326(f9(x46431,x46432,f927(x46431,x46432)),f251(x46431,x46432)),x46433)))),f326(f326(f9(f921(x46431),f921(x46432),f921(f927(x46431,x46432))),f181(x46431,x46432)),x46434))),x46435),f326(f326(f181(x46431,x46432),x46435),f326(f326(f151(x46432),x46433),x46434)))
% 163.42/163.15 [4359]E(f326(f326(f110(f928(x43591,a916)),f326(f284(x43592,x43591,x43593),x43594)),f326(f284(x43592,x43591,x43595),x43594)),f326(f284(x43592,x43591,f326(f326(f110(f928(f927(x43592,x43591),a916)),x43593),x43595)),x43594))
% 163.42/163.15 [4396]E(f326(f326(f134(f927(x43961,x43962)),f326(f326(f181(x43961,x43962),x43963),f326(f326(f175(x43962),f326(f190(f921(x43961)),x43963)),x43964))),f326(f326(f181(x43961,x43962),x43965),f326(f326(f138(x43962),f326(f190(f921(x43961)),x43963)),x43964))),f326(f326(f181(x43961,x43962),f326(f326(f134(x43961),x43963),x43965)),x43964))
% 163.42/163.15 [4500]E(f326(f326(f253(x45001,x45002),x45003),f326(f326(f20(x45001,f928(x45002,a916),f928(x45002,a916)),f326(f326(f10(f928(x45002,a916),f928(f928(x45002,a916),f928(x45002,a916)),x45001),f110(f928(x45002,a916))),x45004)),x45005)),f326(f326(f110(f928(f927(x45001,x45002),a916)),f326(f326(f253(x45001,x45002),x45003),x45004)),f326(f326(f253(x45001,x45002),x45003),x45005)))
% 163.42/163.15 [4501]E(f326(f326(f253(x45011,x45012),x45013),f326(f326(f20(x45011,f928(x45012,a916),f928(x45012,a916)),f326(f326(f10(f928(x45012,a916),f928(f928(x45012,a916),f928(x45012,a916)),x45011),f3(f928(x45012,a916))),x45014)),x45015)),f326(f326(f3(f928(f927(x45011,x45012),a916)),f326(f326(f253(x45011,x45012),x45013),x45014)),f326(f326(f253(x45011,x45012),x45013),x45015)))
% 163.42/163.15 [4502]E(f326(f326(f253(x45021,x45022),x45023),f326(f326(f20(x45021,f928(x45022,a916),f928(x45022,a916)),f326(f326(f10(f928(x45022,a916),f928(f928(x45022,a916),f928(x45022,a916)),x45021),f101(f928(x45022,a916))),x45024)),x45025)),f326(f326(f101(f928(f927(x45021,x45022),a916)),f326(f326(f253(x45021,x45022),x45023),x45024)),f326(f326(f253(x45021,x45022),x45023),x45025)))
% 163.42/163.15 [4506]E(f326(f326(f38(x45061,f928(x45062,a916)),x45063),f326(f326(f9(x45061,f928(x45062,a916),f928(x45062,a916)),f326(f326(f10(f928(x45062,a916),f928(f928(x45062,a916),f928(x45062,a916)),x45061),f110(f928(x45062,a916))),x45064)),x45065)),f326(f326(f110(f928(x45062,a916)),f326(f326(f38(x45061,f928(x45062,a916)),x45063),x45064)),x45065))
% 163.42/163.15 [4507]E(f326(f326(f39(x45071,f928(x45072,a916)),x45073),f326(f326(f9(x45071,f928(x45072,a916),f928(x45072,a916)),f326(f326(f10(f928(x45072,a916),f928(f928(x45072,a916),f928(x45072,a916)),x45071),f3(f928(x45072,a916))),x45074)),x45075)),f326(f326(f3(f928(x45072,a916)),f326(f326(f39(x45071,f928(x45072,a916)),x45073),x45074)),x45075))
% 163.42/163.15 [4508]E(f326(f326(f39(x45081,f928(x45082,a916)),x45083),f326(f326(f9(x45081,f928(x45082,a916),f928(x45082,a916)),f326(f326(f10(f928(x45082,a916),f928(f928(x45082,a916),f928(x45082,a916)),x45081),f101(f928(x45082,a916))),x45084)),x45085)),f326(f326(f101(f928(x45082,a916)),f326(f326(f39(x45081,f928(x45082,a916)),x45083),x45084)),x45085))
% 163.42/163.15 [4512]E(f326(f326(f38(x45121,f928(x45122,a916)),x45123),f326(f326(f20(x45121,f928(x45122,a916),f928(x45122,a916)),f326(f326(f10(f928(x45122,a916),f928(f928(x45122,a916),f928(x45122,a916)),x45121),f101(f928(x45122,a916))),x45124)),x45125)),f326(f326(f101(f928(x45122,a916)),f326(f326(f38(x45121,f928(x45122,a916)),x45123),x45124)),f326(f326(f38(x45121,f928(x45122,a916)),x45123),x45125)))
% 163.42/163.15 [4513]E(f326(f326(f39(x45131,f928(x45132,a916)),x45133),f326(f326(f20(x45131,f928(x45132,a916),f928(x45132,a916)),f326(f326(f10(f928(x45132,a916),f928(f928(x45132,a916),f928(x45132,a916)),x45131),f110(f928(x45132,a916))),x45134)),x45135)),f326(f326(f110(f928(x45132,a916)),f326(f326(f39(x45131,f928(x45132,a916)),x45133),x45134)),f326(f326(f39(x45131,f928(x45132,a916)),x45133),x45135)))
% 163.42/163.15 [4527]E(f326(f326(f38(x45271,f928(x45272,a916)),x45273),f326(f326(f20(x45271,f928(x45272,a916),f928(x45272,a916)),f326(f326(f10(f928(x45272,a916),f928(f928(x45272,a916),f928(x45272,a916)),x45271),f101(f928(x45272,a916))),x45274)),x45275)),f326(f326(f101(f928(x45272,a916)),f37(f928(x45272,a916),f326(f309(x45271,f928(x45272,a916),x45274),x45273))),f37(f928(x45272,a916),f326(f309(x45271,f928(x45272,a916),x45275),x45273))))
% 163.42/163.15 [4528]E(f326(f326(f39(x45281,f928(x45282,a916)),x45283),f326(f326(f20(x45281,f928(x45282,a916),f928(x45282,a916)),f326(f326(f10(f928(x45282,a916),f928(f928(x45282,a916),f928(x45282,a916)),x45281),f110(f928(x45282,a916))),x45284)),x45285)),f326(f326(f110(f928(x45282,a916)),f36(f928(x45282,a916),f326(f309(x45281,f928(x45282,a916),x45284),x45283))),f36(f928(x45282,a916),f326(f309(x45281,f928(x45282,a916),x45285),x45283))))
% 163.42/163.15 [4564]E(f326(f326(f138(x45641),f326(f190(f921(x45641)),f177(x45641,x45642,f326(f326(f154(x45643,x45641),x45644),x45645)))),f326(f326(f154(x45643,x45641),x45644),x45645)),f326(f326(f154(x45643,x45641),x45644),f326(f326(f138(x45643),f326(f190(f921(x45643)),f177(x45643,f326(f72(x45641,a916,x45643,x45642),x45644),x45645))),x45645)))
% 163.42/163.15 [4439]E(f326(f326(f134(f927(x44391,x44392)),f326(f326(f181(x44391,x44392),f326(f326(f175(x44391),f326(f190(f921(x44392)),x44393)),x44394)),x44393)),f326(f326(f181(x44391,x44392),f326(f326(f138(x44391),f326(f190(f921(x44392)),x44393)),x44394)),x44395)),f326(f326(f181(x44391,x44392),x44394),f326(f326(f134(x44392),x44393),x44395)))
% 163.42/163.15 [4555]E(f84(x45551,f326(f326(f20(x45551,a916,a916),f326(f326(f10(a916,f928(a916,a916),x45551),a324),f326(f326(f9(x45551,f928(x45551,a916),a916),f328(x45551)),x45552))),f326(f326(f9(x45551,x45553,a916),f326(f326(f10(x45553,f928(x45553,a916),x45551),a323),x45554)),x45555))),f326(f76(x45551,x45553,x45552,x45554),x45555))
% 163.42/163.15 [4556]E(f89(x45561,f326(f326(f20(x45561,a916,a916),f326(f326(f10(a916,f928(a916,a916),x45561),a324),f326(f326(f9(x45561,f928(x45561,a916),a916),f328(x45561)),x45562))),f326(f326(f9(x45561,x45563,a916),f326(f326(f10(x45563,f928(x45563,a916),x45561),a323),x45564)),x45565))),f326(f91(x45561,x45563,x45562,x45564),x45565))
% 163.42/163.15 [4604]E(f326(f326(f85(a1,x46041),f326(f103(a1),f326(f326(f79(a1),x46042),a97))),f326(f326(f20(a1,x46041,x46041),f326(f326(f9(a1,x46041,f928(x46041,x46041)),f326(f326(f10(a916,f928(x46041,f928(x46041,x46041)),a1),f96(x46041)),a194)),f185(x46041,x46043,x46044,x46045))),f326(f326(f10(a920,x46041,a1),x46044),f326(f326(f9(a1,a920,a920),f326(f326(f10(a920,f928(a920,a920),a1),f79(a920)),a104)),x46045)))),f185(x46041,x46043,x46044,f326(f326(f79(a920),f326(f103(a920),x46042)),x46045)))
% 163.42/163.15 [4639]E(f326(f326(f85(a1,x46391),f326(f103(a1),f326(f326(f79(a1),x46392),a97))),f326(f326(f20(a1,x46391,x46391),f326(f326(f9(a1,x46391,f928(x46391,x46391)),f326(f326(f10(a916,f928(x46391,f928(x46391,x46391)),a1),f96(x46391)),a194)),f326(f184(x46391,x46393,x46394),x46395))),f326(f326(f20(a1,x46391,x46391),f326(f326(f10(a920,f928(x46391,x46391),a1),x46394),f326(f326(f9(a1,a920,a920),f326(f326(f10(a920,f928(a920,a920),a1),f79(a920)),a104)),x46395))),f326(f326(f10(a920,x46391,a1),f184(x46391,x46393,x46394)),f326(f326(f9(a1,a920,a920),f326(f326(f10(a920,f928(a920,a920),a1),f79(a920)),a104)),x46395))))),f326(f184(x46391,x46393,x46394),f326(f326(f79(a920),f326(f103(a920),x46392)),x46395)))
% 163.42/163.15 [4673]E(f326(f261(f927(x46731,x46732)),f326(f256(x46731,x46732,a916),f326(f326(f10(f928(x46732,f928(x46733,a916)),f928(x46732,a916),x46731),f326(f10(f928(x46733,a916),a916,x46732),f86(x46733))),f326(f326(f9(x46731,f928(x46732,f928(x46733,a916)),f928(x46732,f928(x46733,a916))),f326(f326(f10(f928(f928(x46733,a916),f928(x46733,a916)),f928(f928(x46732,f928(x46733,a916)),f928(x46732,f928(x46733,a916))),x46731),f10(f928(x46733,a916),f928(x46733,a916),x46732)),f326(f326(f10(f928(x46733,f928(a916,a916)),f928(f928(x46733,a916),f928(x46733,a916)),x46731),f20(x46733,a916,a916)),f326(f326(f10(f928(x46733,a916),f928(x46733,f928(a916,a916)),x46731),f326(f10(a916,f928(a916,a916),x46733),a324)),f326(f326(f9(x46731,f928(f927(x46731,x46733),a916),f928(x46733,a916)),f326(f326(f10(f928(x46733,f928(f928(f927(x46731,x46733),a916),a916)),f928(f928(f927(x46731,x46733),a916),f928(x46733,a916)),x46731),f9(x46733,f928(f927(x46731,x46733),a916),a916)),f326(f326(f10(f928(x46733,f927(x46731,x46733)),f928(x46733,f928(f928(f927(x46731,x46733),a916),a916)),x46731),f326(f10(f927(x46731,x46733),f928(f928(f927(x46731,x46733),a916),a916),x46733),f328(f927(x46731,x46733)))),f251(x46731,x46733)))),x46734))))),f326(f326(f9(x46732,f928(f927(x46733,x46732),a916),f928(x46733,a916)),f326(f326(f10(f928(x46733,f928(f928(f927(x46733,x46732),a916),a916)),f928(f928(f927(x46733,x46732),a916),f928(x46733,a916)),x46732),f9(x46733,f928(f927(x46733,x46732),a916),a916)),f326(f326(f10(f928(x46733,f927(x46733,x46732)),f928(x46733,f928(f928(f927(x46733,x46732),a916),a916)),x46732),f326(f10(f927(x46733,x46732),f928(f928(f927(x46733,x46732),a916),a916),x46733),f328(f927(x46733,x46732)))),f326(f9(x46733,x46732,f927(x46733,x46732)),f251(x46733,x46732))))),x46735))))),f326(f326(f288(x46731,x46733,x46732),x46734),x46735))
% 163.42/163.15 [4737]~E(f26(x47371,x47372,x47373),f27(x47374,x47375,x47376))
% 163.42/163.15 [4288]E(f225(x42881,x42882,x42883,x42884,f221(x42881,x42882,x42885,x42886)),f326(f326(x42884,x42885),x42886))
% 163.42/163.15 [4289]E(f226(x42891,x42892,x42893,x42894,f221(x42891,x42892,x42895,x42896)),f326(f326(x42894,x42895),x42896))
% 163.42/163.15 [4415]E(f127(x44151,x44152,x44153,x44154,f126(x44152,x44155,x44156)),f326(f326(f326(x44154,x44155),x44156),f127(x44151,x44152,x44153,x44154,x44156)))
% 163.42/163.15 [4434]E(f74(x44341,x44342,f74(x44341,x44342,x44343,x44344,x44345),x44344,x44346),f74(x44341,x44342,x44343,x44344,x44346))
% 163.42/163.15 [4543]E(f326(f72(f927(x45431,x45432),x45432,f927(x45433,x45434),f255(x45431,x45432)),f257(x45433,x45431,x45434,x45432,x45435,x45436)),f326(f72(x45434,x45432,f927(x45433,x45434),x45436),f255(x45433,x45434)))
% 163.42/163.15 [4544]E(f326(f72(f927(x45441,x45442),x45441,f927(x45443,x45444),f250(x45441,x45442)),f257(x45443,x45441,x45444,x45442,x45445,x45446)),f326(f72(x45443,x45441,f927(x45443,x45444),x45445),f250(x45443,x45444)))
% 163.42/163.15 [4158]E(f326(f326(f72(x41581,x41582,x41583,x41584),x41585),x41586),f326(x41584,f326(x41585,x41586)))
% 163.42/163.15 [4298]E(f224(x42981,f927(x42982,f922(x42982)),x42983,f326(f256(x42982,f922(x42982),x42981),x42984),f326(f135(x42982),f126(x42982,x42985,x42986))),f326(f326(x42984,x42985),x42986))
% 163.42/163.15 [4348]E(f227(x43481,x43482,x43483,x43484,f221(x43481,x43482,x43485,x43486)),f326(f326(f79(a920),f326(f326(f79(a920),f326(x43483,x43485)),f326(x43484,x43486))),f326(a112,f2(a920))))
% 163.42/163.15 [3954]E(f326(f326(f256(x39541,x39542,x39543),x39544),f326(f326(f251(x39541,x39542),x39545),x39546)),f326(f326(x39544,x39545),x39546))
% 163.42/163.15 [4014]E(f326(f326(f326(f10(x40141,x40142,x40143),x40144),x40145),x40146),f326(x40144,f326(x40145,x40146)))
% 163.42/163.15 [4015]E(f326(f326(f326(f9(x40151,x40152,x40153),x40154),x40155),x40156),f326(f326(x40154,x40156),x40155))
% 163.42/163.15 [4033]E(f326(f326(f326(f20(x40331,x40332,x40333),x40334),x40335),x40336),f326(f326(x40334,x40336),f326(x40335,x40336)))
% 163.42/163.15 [4056]E(f326(f156(x40561,x40562,x40563,x40564),f326(f326(f151(x40562),x40565),x40566)),f326(f326(x40564,x40565),x40566))
% 163.42/163.15 [4094]E(f169(f927(x40941,x40942),f326(f326(f188(a920),x40943),x40944),f326(f326(f251(x40941,x40942),x40945),x40946)),f326(f326(f181(x40941,x40942),f169(x40941,x40943,x40945)),f169(x40942,x40944,x40946)))
% 163.42/163.15 [4162]E(f326(f326(f151(f927(x41621,x41622)),f326(f326(f251(x41621,x41622),x41623),x41624)),f326(f326(f181(x41621,x41622),x41625),x41626)),f326(f326(f181(x41621,x41622),f326(f326(f151(x41621),x41623),x41625)),f326(f326(f151(x41622),x41624),x41626)))
% 163.42/163.15 [4163]E(f326(f326(f154(x41631,x41632),x41633),f326(f326(f159(x41631,x41634),x41635),x41636)),f326(f326(f159(x41632,f326(f326(f154(x41631,x41632),x41633),x41634)),x41635),f326(x41633,x41636)))
% 163.42/163.15 [4187]E(f326(f326(f254(x41871,x41872,x41873,x41874),x41875),x41876),f326(x41874,f326(f326(f251(x41871,x41872),x41875),x41876)))
% 163.42/163.15 [4205]E(f326(f142(x42051,x42052,x42053,x42054),f326(f326(f151(x42052),x42055),x42056)),f326(f142(x42051,x42052,x42053,f326(f326(x42053,x42054),x42055)),x42056))
% 163.42/163.15 [4231]E(f259(x42311,x42312,x42313,x42314,f326(f326(f251(x42311,x42312),x42315),x42316)),f326(f326(x42314,x42315),x42316))
% 163.42/163.15 [4312]E(f326(f326(f39(x43121,f928(x43122,a916)),x43123),f326(f72(x43124,f928(x43122,a916),x43121,x43125),x43126)),f326(f326(f39(x43124,f928(x43122,a916)),f326(f309(x43121,x43124,x43126),x43123)),x43125))
% 163.42/163.15 [4362]E(f326(f326(f154(x43621,x43622),x43623),f326(f326(f154(x43624,x43621),x43625),x43626)),f326(f326(f154(x43624,x43622),f326(f72(x43621,x43622,x43624,x43623),x43625)),x43626))
% 163.42/163.15 [4368]E(f326(f310(x43681,x43682,f326(f72(x43683,x43682,x43681,x43684),x43685)),x43686),f326(f310(x43681,x43683,x43685),f326(f310(x43683,x43682,x43684),x43686)))
% 163.42/163.15 [4369]E(f326(f309(x43691,x43692,f326(f72(x43693,x43692,x43691,x43694),x43695)),x43696),f326(f309(x43693,x43692,x43694),f326(f309(x43691,x43693,x43695),x43696)))
% 163.42/163.15 [4397]E(f326(f142(x43971,x43972,x43973,f326(f142(x43971,x43972,x43973,x43974),x43975)),x43976),f326(f142(x43971,x43972,x43973,x43974),f326(f326(f134(x43972),x43975),x43976)))
% 163.42/163.15 [4533]E(f326(f257(x45331,x45331,x45332,x45333,f31(x45331),x45334),f326(f326(f251(x45331,x45332),x45335),x45336)),f326(f326(f251(x45331,x45333),x45335),f326(x45334,x45336)))
% 163.42/163.15 [4534]E(f326(f257(x45341,x45342,x45343,x45343,x45344,f31(x45343)),f326(f326(f251(x45341,x45343),x45345),x45346)),f326(f326(f251(x45342,x45343),f326(x45344,x45345)),x45346))
% 163.42/163.15 [4622]E(f326(f326(f154(f927(x46221,x46222),f927(x46221,x46223)),f326(f256(x46221,x46222,f927(x46221,x46223)),f326(f326(f9(x46221,f928(x46222,x46223),f928(x46222,f927(x46221,x46223))),f326(f326(f10(f928(x46223,f927(x46221,x46223)),f928(f928(x46222,x46223),f928(x46222,f927(x46221,x46223))),x46221),f10(x46223,f927(x46221,x46223),x46222)),f251(x46221,x46223))),x46224))),f326(f326(f181(x46221,x46222),x46225),x46226)),f326(f326(f181(x46221,x46223),x46225),f326(f326(f154(x46222,x46223),x46224),x46226)))
% 163.42/163.15 [4019]E(f94(x40191,x40192,x40193,f326(f326(f326(f90(x40191),x40194),x40195),x40196)),f326(f326(f326(x40193,x40194),x40195),x40196))
% 163.42/163.15 [4020]E(f95(x40201,x40202,x40203,f326(f326(f326(f90(x40201),x40204),x40205),x40206)),f326(f326(f326(x40203,x40204),x40205),x40206))
% 163.42/163.15 [4215]E(f326(f326(f72(x42151,x42152,x42153,f326(f18(x42152,x42151),x42154)),x42155),x42156),x42154)
% 163.42/163.15 [4247]E(f326(f309(x42471,x42472,x42473),f326(f309(x42474,x42471,x42475),x42476)),f326(f309(x42474,x42472,f326(f326(f10(x42471,x42472,x42474),x42473),x42475)),x42476))
% 163.42/163.15 [4253]E(f326(f326(f38(x42531,f928(x42532,a916)),f326(f309(x42533,x42531,x42534),x42535)),x42536),f326(f326(f38(x42533,f928(x42532,a916)),x42535),f326(f326(f10(x42531,f928(x42532,a916),x42533),x42536),x42534)))
% 163.42/163.15 [4254]E(f326(f326(f39(x42541,f928(x42542,a916)),f326(f309(x42543,x42541,x42544),x42545)),x42546),f326(f326(f39(x42543,f928(x42542,a916)),x42545),f326(f326(f10(x42541,f928(x42542,a916),x42543),x42546),x42544)))
% 163.42/163.15 [4255]E(f326(f326(f38(x42551,f928(x42552,a916)),x42553),f326(f326(f10(x42554,f928(x42552,a916),x42551),x42555),x42556)),f326(f326(f38(x42554,f928(x42552,a916)),f326(f309(x42551,x42554,x42556),x42553)),x42555))
% 163.42/163.15 [4256]E(f326(f326(f39(x42561,f928(x42562,a916)),x42563),f326(f326(f10(x42564,f928(x42562,a916),x42561),x42565),x42566)),f326(f326(f39(x42564,f928(x42562,a916)),f326(f309(x42561,x42564,x42566),x42563)),x42565))
% 163.42/163.15 [4314]E(f326(f326(f38(x43141,f928(x43142,a916)),x43143),f326(f326(f10(f928(x43144,a916),f928(x43142,a916),x43141),f310(x43142,x43144,x43145)),x43146)),f326(f310(x43142,x43144,x43145),f326(f326(f38(x43141,f928(x43144,a916)),x43143),x43146)))
% 163.42/163.15 [4315]E(f326(f326(f39(x43151,f928(x43152,a916)),x43153),f326(f326(f10(f928(x43154,a916),f928(x43152,a916),x43151),f310(x43152,x43154,x43155)),x43156)),f326(f310(x43152,x43154,x43155),f326(f326(f39(x43151,f928(x43154,a916)),x43153),x43156)))
% 163.42/163.15 [4316]E(f326(f326(f39(x43161,f928(x43162,a916)),x43163),f326(f326(f10(f928(x43164,a916),f928(x43162,a916),x43161),f284(x43164,x43162,x43165)),x43166)),f326(f284(x43164,x43162,x43165),f326(f326(f39(x43161,f928(x43164,a916)),x43163),x43166)))
% 163.42/163.15 [4317]E(f326(f326(f39(x43171,f928(x43172,a916)),x43173),f326(f326(f10(f928(x43174,a916),f928(x43172,a916),x43171),f309(x43174,x43172,x43175)),x43176)),f326(f309(x43174,x43172,x43175),f326(f326(f39(x43171,f928(x43174,a916)),x43173),x43176)))
% 163.42/163.15 [4402]E(f326(f142(x44021,x44022,f326(f9(x44022,x44021,x44021),x44023),x44024),f326(f168(x44022),f326(f326(f151(x44022),x44025),x44026))),f326(f326(x44023,x44025),f326(f142(x44021,x44022,f326(f9(x44022,x44021,x44021),x44023),x44024),f326(f168(x44022),x44026))))
% 163.42/163.15 [4461]E(f326(f326(f20(f927(x44611,x44612),x44612,x44613),f326(f326(f10(x44614,f928(x44612,x44613),f927(x44611,x44612)),x44615),f326(f326(f10(x44611,x44614,f927(x44611,x44612)),x44616),f250(x44611,x44612)))),f255(x44611,x44612)),f326(f256(x44611,x44612,x44613),f326(f326(f10(x44614,f928(x44612,x44613),x44611),x44615),x44616)))
% 163.42/163.15 [4468]E(f326(f142(x44681,x44682,f326(f9(x44682,x44681,x44681),x44683),f326(f142(x44681,x44682,f326(f9(x44682,x44681,x44681),x44683),x44684),f326(f168(x44682),x44685))),f326(f168(x44682),x44686)),f326(f142(x44681,x44682,f326(f9(x44682,x44681,x44681),x44683),x44684),f326(f168(x44682),f326(f326(f134(x44682),x44686),x44685))))
% 163.42/163.15 [4470]E(f326(f326(f154(f927(x44701,x44702),f927(x44703,x44702)),f326(f256(x44701,x44702,f927(x44703,x44702)),f326(f326(f10(x44703,f928(x44702,f927(x44703,x44702)),x44701),f251(x44703,x44702)),x44704))),f326(f326(f181(x44701,x44702),x44705),x44706)),f326(f326(f181(x44703,x44702),f326(f326(f154(x44701,x44703),x44704),x44705)),x44706))
% 163.42/163.15 [4515]P106(f326(f326(f234(f928(x45151,a916)),f326(f284(x45152,x45151,x45153),f326(f326(f38(x45154,f928(x45152,a916)),x45155),x45156))),f326(f326(f38(x45154,f928(x45151,a916)),x45155),f326(f326(f10(f928(x45152,a916),f928(x45151,a916),x45154),f284(x45152,x45151,x45153)),x45156))))
% 163.42/163.15 [4327]E(f326(f326(f181(x43271,x43272),f326(f326(f159(x43271,x43273),x43274),f326(f250(x43271,x43272),x43275))),f326(f326(f159(x43272,x43276),x43274),f326(f255(x43271,x43272),x43275))),f326(f326(f159(f927(x43271,x43272),f326(f326(f181(x43271,x43272),x43273),x43276)),x43274),x43275))
% 163.42/163.15 [4385]E(f326(f326(f110(f928(f927(x43851,x43852),a916)),f326(f326(f288(x43851,x43853,x43852),x43854),x43855)),f326(f326(f288(x43851,x43853,x43852),x43854),x43856)),f326(f326(f288(x43851,x43853,x43852),x43854),f326(f326(f110(f928(f927(x43853,x43852),a916)),x43855),x43856)))
% 163.42/163.15 [4480]E(f326(f326(f308(f927(x44801,x44802)),f326(f326(f251(x44801,x44802),x44803),x44804)),f326(f326(f110(f928(f927(x44801,x44802),a916)),f326(f326(f253(x44801,x44802),x44805),f326(f18(f928(x44802,a916),x44801),f326(f326(f308(x44802),x44804),x44806)))),f326(f326(f253(x44801,x44802),f326(f326(f308(x44801),x44803),x44805)),f326(f18(f928(x44802,a916),x44801),x44806)))),f326(f326(f253(x44801,x44802),f326(f326(f308(x44801),x44803),x44805)),f326(f18(f928(x44802,a916),x44801),f326(f326(f308(x44802),x44804),x44806))))
% 163.42/163.15 [4560]E(f326(f326(f101(f928(x45601,a916)),f326(f310(x45601,x45602,f326(f72(f927(x45602,x45603),x45602,x45601,f250(x45602,x45603)),x45604)),x45605)),f326(f310(x45601,x45603,f326(f72(f927(x45602,x45603),x45603,x45601,f255(x45602,x45603)),x45604)),x45606)),f326(f310(x45601,f927(x45602,x45603),x45604),f326(f326(f253(x45602,x45603),x45605),f326(f18(f928(x45603,a916),x45602),x45606))))
% 163.42/163.15 [4408]E(f326(f326(f110(f928(f927(x44081,x44082),a916)),f326(f326(f288(x44081,x44083,x44082),x44084),x44085)),f326(f326(f288(x44081,x44083,x44082),x44086),x44085)),f326(f326(f288(x44081,x44083,x44082),f326(f326(f110(f928(f927(x44081,x44083),a916)),x44084),x44086)),x44085))
% 163.42/163.15 [4541]E(f326(f326(f38(x45411,f928(x45412,a916)),x45413),f326(f326(f9(x45411,f928(x45414,f928(x45412,a916)),f928(x45412,a916)),f326(f326(f10(f928(x45414,a916),f928(f928(x45414,f928(x45412,a916)),f928(x45412,a916)),x45411),f38(x45414,f928(x45412,a916))),x45415)),x45416)),f326(f326(f38(x45414,f928(x45412,a916)),f326(f326(f39(x45411,f928(x45414,a916)),x45413),x45415)),x45416))
% 163.42/163.15 [4542]E(f326(f326(f39(x45421,f928(x45422,a916)),x45423),f326(f326(f9(x45421,f928(x45424,f928(x45422,a916)),f928(x45422,a916)),f326(f326(f10(f928(x45424,a916),f928(f928(x45424,f928(x45422,a916)),f928(x45422,a916)),x45421),f39(x45424,f928(x45422,a916))),x45425)),x45426)),f326(f326(f39(x45424,f928(x45422,a916)),f326(f326(f39(x45421,f928(x45424,a916)),x45423),x45425)),x45426))
% 163.42/163.15 [4594]E(f326(f256(x45941,x45942,f927(x45943,x45944)),f326(f326(f9(x45941,f928(x45942,x45944),f928(x45942,f927(x45943,x45944))),f326(f326(f10(f928(x45944,f927(x45943,x45944)),f928(f928(x45942,x45944),f928(x45942,f927(x45943,x45944))),x45941),f10(x45944,f927(x45943,x45944),x45942)),f326(f326(f10(x45943,f928(x45944,f927(x45943,x45944)),x45941),f251(x45943,x45944)),x45945))),x45946)),f257(x45941,x45943,x45942,x45944,x45945,x45946))
% 163.42/163.15 [4617]E(f326(f309(x46171,x46172,f326(f326(f20(x46171,x46172,x46172),f326(f326(f20(x46171,x46172,f928(x46172,x46172)),f326(f326(f10(a916,f928(x46172,f928(x46172,x46172)),x46171),f96(x46172)),x46173)),x46174)),x46175)),x46176),f326(f326(f110(f928(x46172,a916)),f326(f309(x46171,x46172,x46174),f326(f326(f101(f928(x46171,a916)),x46176),f326(f261(x46171),x46173)))),f326(f309(x46171,x46172,x46175),f326(f326(f101(f928(x46171,a916)),x46176),f326(f261(x46171),f326(f326(f10(a916,a916,x46171),a321),x46173))))))
% 163.42/163.15 [4629]E(f326(f309(x46291,f927(x46292,x46293),f326(f326(f20(x46291,x46293,f927(x46292,x46293)),f326(f326(f10(x46292,f928(x46293,f927(x46292,x46293)),x46291),f251(x46292,x46293)),x46294)),x46295)),x46296),f326(f326(f253(x46292,x46293),f326(f309(x46291,x46292,x46294),x46296)),f326(f326(f10(f928(x46291,a916),f928(x46293,a916),x46292),f309(x46291,x46293,x46295)),f326(f326(f9(x46292,f928(x46291,a916),f928(x46291,a916)),f326(f326(f10(f928(x46291,a916),f928(f928(x46291,a916),f928(x46291,a916)),x46292),f101(f928(x46291,a916))),f326(f326(f10(f928(x46292,a916),f928(x46291,a916),x46292),f310(x46291,x46292,x46294)),f326(f326(f9(x46292,f928(x46292,a916),f928(x46292,a916)),f308(x46292)),f189(f928(x46292,a916)))))),x46296))))
% 163.42/163.15 [4654]E(f245(x46541,x46542,x46543,x46544,x46545,x46546),f326(x46544,f326(f261(x46541),f326(f326(f10(f928(f928(x46543,x46541),a916),a916,x46541),f86(f928(x46543,x46541))),f326(f326(f10(f928(f928(x46543,x46541),a916),f928(f928(x46543,x46541),a916),x46541),f326(f20(f928(x46543,x46541),a916,a916),f326(f326(f10(a916,f928(a916,a916),f928(x46543,x46541)),a324),f326(f326(f9(f928(x46543,x46541),f928(f928(x46543,x46541),a916),a916),f328(f928(x46543,x46541))),x46545)))),f326(f326(f9(x46541,f928(f928(x46543,x46541),x46541),f928(f928(x46543,x46541),a916)),f326(f326(f10(f928(x46541,a916),f928(f928(f928(x46543,x46541),x46541),f928(f928(x46543,x46541),a916)),x46541),f10(x46541,a916,f928(x46543,x46541))),a323)),f326(f326(f9(f928(x46543,x46541),x46543,x46541),f7(f928(x46543,x46541))),x46546)))))))
% 163.42/163.15 [4442]E(f326(f72(x44421,x44422,x44423,x44424),f74(x44423,x44421,x44425,x44426,x44427)),f74(x44423,x44422,f326(f72(x44421,x44422,x44423,x44424),x44425),x44426,f326(x44424,x44427)))
% 163.42/163.15 [4577]E(f326(f255(x45771,x45772),f326(f257(x45773,x45771,x45774,x45772,x45775,x45776),x45777)),f326(x45776,f326(f255(x45773,x45774),x45777)))
% 163.42/163.15 [4578]E(f326(f250(x45781,x45782),f326(f257(x45783,x45781,x45784,x45782,x45785,x45786),x45787)),f326(x45785,f326(f250(x45783,x45784),x45787)))
% 163.42/163.15 [4290]E(f326(f326(f181(x42901,x42902),f326(f326(f159(x42901,x42903),x42904),x42905)),f326(f326(f159(x42902,x42906),x42904),x42907)),f326(f326(f159(f927(x42901,x42902),f326(f326(f181(x42901,x42902),x42903),x42906)),x42904),f326(f326(f251(x42901,x42902),x42905),x42907)))
% 163.42/163.15 [4357]E(f326(f326(f326(f258(x43571,x43572,x43573,x43574),x43575),x43576),x43577),f326(f326(f256(x43572,x43573,x43574),x43576),f326(x43575,x43577)))
% 163.42/163.15 [4367]E(f326(f326(f326(f258(x43671,x43672,x43673,x43674),x43675),x43676),x43677),f326(f326(x43676,f326(f250(x43672,x43673),f326(x43675,x43677))),f326(f255(x43672,x43673),f326(x43675,x43677))))
% 163.42/163.15 [4420]E(f326(f72(x44201,x44202,x44203,x44204),f326(f72(x44205,x44201,x44203,x44206),x44207)),f326(f72(x44205,x44202,x44203,f326(f72(x44201,x44202,x44205,x44204),x44206)),x44207))
% 163.42/163.15 [4598]E(f326(f257(x45981,x45982,x45983,x45983,x45984,f31(x45983)),f326(f257(x45981,x45981,x45985,x45983,f31(x45981),x45986),x45987)),f326(f326(f251(x45982,x45983),f326(x45984,f326(f250(x45981,x45985),x45987))),f326(x45986,f326(f255(x45981,x45985),x45987))))
% 163.42/163.15 [4599]E(f326(f257(x45991,x45991,x45992,x45993,f31(x45991),x45994),f326(f257(x45995,x45991,x45992,x45992,x45996,f31(x45992)),x45997)),f326(f326(f251(x45991,x45993),f326(x45996,f326(f250(x45995,x45992),x45997))),f326(x45994,f326(f255(x45995,x45992),x45997))))
% 163.42/163.15 [4615]E(f326(f257(x46151,x46152,x46153,x46153,x46154,f31(x46153)),f326(f257(x46155,x46151,x46153,x46153,x46156,f31(x46153)),x46157)),f326(f257(x46155,x46152,x46153,x46153,f326(f72(x46151,x46152,x46155,x46154),x46156),f31(x46153)),x46157))
% 163.42/163.15 [4616]E(f326(f257(x46161,x46161,x46162,x46163,f31(x46161),x46164),f326(f257(x46161,x46161,x46165,x46162,f31(x46161),x46166),x46167)),f326(f257(x46161,x46161,x46165,x46163,f31(x46161),f326(f72(x46162,x46163,x46165,x46164),x46166)),x46167))
% 163.42/163.15 [4626]E(f326(f257(x46261,x46262,x46263,x46263,x46264,f31(x46263)),f326(f257(x46261,x46261,x46265,x46263,f31(x46261),x46266),x46267)),f326(f257(x46262,x46262,x46265,x46263,f31(x46262),x46266),f326(f257(x46261,x46262,x46265,x46265,x46264,f31(x46265)),x46267)))
% 163.42/163.15 [4324]E(f326(f326(f288(x43241,x43242,x43243),f326(f326(f288(x43241,x43244,x43242),x43245),x43246)),x43247),f326(f326(f288(x43241,x43244,x43243),x43245),f326(f326(f288(x43244,x43242,x43243),x43246),x43247)))
% 163.42/163.15 [4391]E(f326(f326(f256(x43911,x43912,x43913),f326(f72(x43914,f928(x43912,x43913),x43911,x43915),x43916)),x43917),f326(f326(x43915,f326(x43916,f326(f250(x43911,x43912),x43917))),f326(f255(x43911,x43912),x43917)))
% 163.42/163.15 [4473]E(f326(f142(x44731,x44732,f326(f9(x44732,x44731,x44731),x44733),x44734),f326(f168(x44732),f326(f326(f154(x44735,x44732),x44736),x44737))),f326(f142(x44731,x44735,f326(f9(x44735,x44731,x44731),f326(f72(x44732,f928(x44731,x44731),x44735,x44733),x44736)),x44734),f326(f168(x44735),x44737)))
% 163.42/163.15 [4421]E(f326(f326(f39(x44211,f928(f927(x44212,x44213),a916)),x44214),f326(f326(f10(f928(f927(x44215,x44213),a916),f928(f927(x44212,x44213),a916),x44211),f326(f288(x44212,x44215,x44213),x44216)),x44217)),f326(f326(f288(x44212,x44215,x44213),x44216),f326(f326(f39(x44211,f928(f927(x44215,x44213),a916)),x44214),x44217)))
% 163.42/163.15 [4565]E(f326(f326(f39(x45651,f928(f927(x45652,x45653),a916)),x45654),f326(f326(f9(x45651,f928(f927(x45655,x45653),a916),f928(f927(x45652,x45653),a916)),f326(f326(f10(f928(f927(x45652,x45655),a916),f928(f928(f927(x45655,x45653),a916),f928(f927(x45652,x45653),a916)),x45651),f288(x45652,x45655,x45653)),x45656)),x45657)),f326(f326(f288(x45652,x45655,x45653),f326(f326(f39(x45651,f928(f927(x45652,x45655),a916)),x45654),x45656)),x45657))
% 163.42/163.15 [4566]E(f326(f142(x45661,x45662,f326(f326(f9(x45661,f928(x45662,x45663),f928(x45662,x45661)),f326(f326(f10(f928(x45663,x45661),f928(f928(x45662,x45663),f928(x45662,x45661)),x45661),f10(x45663,x45661,x45662)),x45664)),x45665),x45666),x45667),f326(f142(x45661,x45663,x45664,x45666),f326(f326(f154(x45662,x45663),x45665),x45667)))
% 163.42/163.15 [4627]E(f326(f326(f38(x46271,f928(x46272,a916)),x46273),f326(f326(f10(f928(x46274,f928(x46272,a916)),f928(x46272,a916),x46271),f326(f38(x46274,f928(x46272,a916)),x46275)),f326(f326(f9(x46271,f928(x46274,f928(x46272,a916)),f928(x46274,f928(x46272,a916))),f326(f326(f10(f928(f928(x46272,a916),f928(x46272,a916)),f928(f928(x46274,f928(x46272,a916)),f928(x46274,f928(x46272,a916))),x46271),f10(f928(x46272,a916),f928(x46272,a916),x46274)),f326(f326(f10(f928(x46272,a916),f928(f928(x46272,a916),f928(x46272,a916)),x46271),f110(f928(x46272,a916))),x46276))),x46277))),f326(f326(f110(f928(x46272,a916)),f326(f326(f38(x46271,f928(x46272,a916)),x46273),x46276)),f326(f326(f38(x46274,f928(x46272,a916)),x46275),x46277)))
% 163.42/163.15 [4628]E(f326(f326(f39(x46281,f928(x46282,a916)),x46283),f326(f326(f10(f928(x46284,f928(x46282,a916)),f928(x46282,a916),x46281),f326(f39(x46284,f928(x46282,a916)),x46285)),f326(f326(f9(x46281,f928(x46284,f928(x46282,a916)),f928(x46284,f928(x46282,a916))),f326(f326(f10(f928(f928(x46282,a916),f928(x46282,a916)),f928(f928(x46284,f928(x46282,a916)),f928(x46284,f928(x46282,a916))),x46281),f10(f928(x46282,a916),f928(x46282,a916),x46284)),f326(f326(f10(f928(x46282,a916),f928(f928(x46282,a916),f928(x46282,a916)),x46281),f101(f928(x46282,a916))),x46286))),x46287))),f326(f326(f101(f928(x46282,a916)),f326(f326(f39(x46281,f928(x46282,a916)),x46283),x46286)),f326(f326(f39(x46284,f928(x46282,a916)),x46285),x46287)))
% 163.42/163.15 [4620]E(f198(x46201,x46202,f326(f326(f326(x46203,x46204),x46205),x46206),f326(f326(f9(x46201,f927(a99,a99),f928(a99,f922(x46202))),f326(f326(f9(x46201,a99,f928(f927(a99,a99),f928(a99,f922(x46202)))),f326(f326(f9(x46201,a99,f928(a99,f928(f927(a99,a99),f928(a99,f922(x46202))))),x46207),x46204)),x46205)),x46206)),f326(f326(f326(f210(x46201,x46202,x46203,x46207),x46204),x46205),x46206))
% 163.42/163.15 [4634]E(f199(x46341,x46342,f326(f326(f326(x46343,x46344),x46345),x46346),f326(f326(f9(x46341,f927(a99,a99),f928(a99,f922(x46342))),f326(f326(f9(x46341,a99,f928(f927(a99,a99),f928(a99,f922(x46342)))),f326(f326(f9(x46341,a99,f928(a99,f928(f927(a99,a99),f928(a99,f922(x46342))))),x46347),x46344)),x46345)),x46346)),f212(x46341,x46342,x46343,x46347,x46344,x46345,x46346))
% 163.42/163.15 [4625]E(f196(x46251,x46252,f326(f326(f326(x46253,x46254),x46255),x46256),f326(f326(f9(x46251,f927(a99,a99),f928(a99,f922(f924(x46252)))),f326(f326(f9(x46251,a99,f928(f927(a99,a99),f928(a99,f922(f924(x46252))))),f326(f326(f9(x46251,a99,f928(a99,f928(f927(a99,a99),f928(a99,f922(f924(x46252)))))),x46257),x46254)),x46255)),x46256)),f326(f326(f326(f206(x46251,x46252,x46253,x46257),x46254),x46255),x46256))
% 163.42/163.15 [4636]E(f197(x46361,x46362,f326(f326(f326(x46363,x46364),x46365),x46366),f326(f326(f9(x46361,f927(a99,a99),f928(a99,f922(f924(x46362)))),f326(f326(f9(x46361,a99,f928(f927(a99,a99),f928(a99,f922(f924(x46362))))),f326(f326(f9(x46361,a99,f928(a99,f928(f927(a99,a99),f928(a99,f922(f924(x46362)))))),x46367),x46364)),x46365)),x46366)),f208(x46361,x46362,x46363,x46367,x46364,x46365,x46366))
% 163.42/163.15 [4535]E(f326(f257(x45351,x45352,x45353,x45354,x45355,x45356),f326(f326(f251(x45351,x45353),x45357),x45358)),f326(f326(f251(x45352,x45354),f326(x45355,x45357)),f326(x45356,x45358)))
% 163.42/163.15 [4638]E(f326(f326(f154(f927(x46381,x46382),f927(x46383,x46384)),f326(f256(x46381,x46382,f927(x46383,x46384)),f326(f326(f9(x46381,f928(x46382,x46384),f928(x46382,f927(x46383,x46384))),f326(f326(f10(f928(x46384,f927(x46383,x46384)),f928(f928(x46382,x46384),f928(x46382,f927(x46383,x46384))),x46381),f10(x46384,f927(x46383,x46384),x46382)),f326(f326(f10(x46383,f928(x46384,f927(x46383,x46384)),x46381),f251(x46383,x46384)),x46385))),x46386))),f326(f326(f181(x46381,x46382),x46387),x46388)),f326(f326(f181(x46383,x46384),f326(f326(f154(x46381,x46383),x46385),x46387)),f326(f326(f154(x46382,x46384),x46386),x46388)))
% 163.42/163.15 [4641]E(f326(f326(f154(f927(x46411,x46412),x46413),f326(f256(x46411,x46412,x46413),f326(f326(f10(f928(x46412,f927(x46411,x46414)),f928(x46412,x46413),x46411),f326(f10(f927(x46411,x46414),x46413,x46412),x46415)),f326(f326(f9(x46411,f928(x46412,x46414),f928(x46412,f927(x46411,x46414))),f326(f326(f10(f928(x46414,f927(x46411,x46414)),f928(f928(x46412,x46414),f928(x46412,f927(x46411,x46414))),x46411),f10(x46414,f927(x46411,x46414),x46412)),f251(x46411,x46414))),x46416)))),f326(f326(f181(x46411,x46412),x46417),x46418)),f326(f326(f154(f927(x46411,x46414),x46413),x46415),f326(f326(f181(x46411,x46414),x46417),f326(f326(f154(x46412,x46414),x46416),x46418))))
% 163.42/163.15 [4569]E(f326(f326(f154(f927(x45691,x45692),x45693),f326(f256(x45691,x45692,x45693),f326(f326(f10(f928(x45692,f927(x45694,x45692)),f928(x45692,x45693),x45691),f326(f10(f927(x45694,x45692),x45693,x45692),x45695)),f326(f326(f10(x45694,f928(x45692,f927(x45694,x45692)),x45691),f251(x45694,x45692)),x45696)))),f326(f326(f181(x45691,x45692),x45697),x45698)),f326(f326(f154(f927(x45694,x45692),x45693),x45695),f326(f326(f181(x45694,x45692),f326(f326(f154(x45691,x45694),x45696),x45697)),x45698)))
% 163.42/163.15 [4526]E(f326(f326(f256(x45261,x45262,x45263),f326(f326(f10(f928(x45262,f927(x45264,x45265)),f928(x45262,x45263),x45261),f326(f10(f927(x45264,x45265),x45263,x45262),f326(f256(x45264,x45265,x45263),x45266))),x45267)),x45268),f326(f326(f256(x45264,x45265,x45263),x45266),f326(f326(f256(x45261,x45262,f927(x45264,x45265)),x45267),x45268)))
% 163.42/163.15 [4642]E(f326(f326(f39(f927(x46421,x46422),f928(f927(x46423,x46424),a916)),f326(f326(f253(x46421,x46422),x46425),f326(f18(f928(x46422,a916),x46421),x46426))),f326(f256(x46421,x46422,f928(f927(x46423,x46424),a916)),f326(f326(f9(x46421,f928(x46422,f928(x46423,f928(x46424,a916))),f928(x46422,f928(f927(x46423,x46424),a916))),f326(f326(f10(f928(f928(x46423,f928(x46424,a916)),f928(f927(x46423,x46424),a916)),f928(f928(x46422,f928(x46423,f928(x46424,a916))),f928(x46422,f928(f927(x46423,x46424),a916))),x46421),f10(f928(x46423,f928(x46424,a916)),f928(f927(x46423,x46424),a916),x46422)),f326(f326(f10(f928(x46423,a916),f928(f928(x46423,f928(x46424,a916)),f928(f927(x46423,x46424),a916)),x46421),f253(x46423,x46424)),x46427))),f326(f326(f10(f928(x46424,a916),f928(x46423,f928(x46424,a916)),x46422),f18(f928(x46424,a916),x46423)),x46428)))),f326(f326(f253(x46423,x46424),f326(f326(f39(x46421,f928(x46423,a916)),x46425),x46427)),f326(f18(f928(x46424,a916),x46423),f326(f326(f39(x46422,f928(x46424,a916)),x46426),x46428))))
% 163.42/163.15 [4583]E(f326(f326(f258(x45831,x45832,x45833,x45834),f326(f326(f258(x45831,x45835,x45836,f927(x45832,x45833)),x45837),x45838)),x45839),f326(f326(f258(x45831,x45835,x45836,x45834),x45837),f326(f326(f9(x45835,f928(x45832,f928(x45833,x45834)),f928(x45836,x45834)),f326(f326(f10(f928(x45836,f927(x45832,x45833)),f928(f928(x45832,f928(x45833,x45834)),f928(x45836,x45834)),x45835),f258(x45836,x45832,x45833,x45834)),x45838)),x45839)))
% 163.42/163.15 [4612]E(f326(f72(f927(x46121,x46122),f927(x46123,x46124),f927(x46125,x46126),f257(x46121,x46123,x46122,x46124,x46127,x46128)),f257(x46125,x46121,x46126,x46122,x46129,x461210)),f257(x46125,x46123,x46126,x46124,f326(f72(x46121,x46123,x46125,x46127),x46129),f326(f72(x46122,x46124,x46126,x46128),x461210)))
% 163.42/163.15 [4618]E(f326(f257(x46181,x46182,x46183,x46184,x46185,x46186),f326(f257(x46187,x46181,x46188,x46183,x46189,x461810),x461811)),f326(f257(x46187,x46182,x46188,x46184,f326(f72(x46181,x46182,x46187,x46185),x46189),f326(f72(x46183,x46184,x46188,x46186),x461810)),x461811))
% 163.42/163.15 [5286]P106(f326(f326(a930,a819),a857))+P106(f326(f326(a933,a819),a857))
% 163.42/163.15 [4765]~P5(x47651)+P5(f924(x47651))
% 163.42/163.15 [4766]~P64(x47661)+P64(f924(x47661))
% 163.42/163.15 [4767]~P104(x47671)+P104(f921(x47671))
% 163.42/163.15 [4770]~P145(x47701)+~E(f77(x47701),f2(x47701))
% 163.42/163.15 [4772]~E(x47721,f2(a99))+E(f326(a24,x47721),f2(a1))
% 163.42/163.15 [4773]~E(x47731,f2(a1))+E(f81(a1,x47731),f2(a1))
% 163.42/163.15 [4779]~P146(x47791)+P29(x47791,f2(x47791))
% 163.42/163.15 [4781]~P109(x47811)+P14(x47811,f113(x47811))
% 163.42/163.15 [4790]P106(x47901)+P106(f326(a321,x47901))
% 163.42/163.15 [4844]~P146(x48441)+~P29(x48441,f77(x48441))
% 163.42/163.15 [4885]~P106(x48851)+~P106(f326(a321,x48851))
% 163.42/163.15 [4906]E(f326(a104,x49061),f2(a920))+~P106(f326(a194,x49061))
% 163.42/163.15 [4972]~P70(x49721)+P17(x49721,x49721,f80(x49721))
% 163.42/163.15 [4973]~P101(x49731)+P15(x49731,x49731,f110(x49731))
% 163.42/163.15 [4974]~P97(x49741)+P15(x49741,x49741,f80(x49741))
% 163.42/163.15 [4975]~P102(x49751)+P15(x49751,x49751,f101(x49751))
% 163.42/163.15 [4976]~P109(x49761)+P15(x49761,x49761,f188(x49761))
% 163.42/163.15 [4977]~P109(x49771)+P15(x49771,x49771,f233(x49771))
% 163.42/163.15 [4776]~E(x47761,f2(a920))+E(f326(f100(a1),x47761),f2(a1))
% 163.42/163.15 [4783]~P94(x47831)+E(f326(f103(x47831),a82),f2(x47831))
% 163.42/163.15 [4786]~E(f580(x47861),f2(a920))+E(f326(f165(a920),x47861),f2(a920))
% 163.42/163.15 [4787]~P108(x47871)+E(f236(x47871,f234(x47871)),f188(x47871))
% 163.42/163.15 [4788]~P108(x47881)+E(f237(x47881,f234(x47881)),f233(x47881))
% 163.42/163.15 [4789]~P91(x47891)+E(f81(x47891,f2(x47891)),f2(x47891))
% 163.42/163.15 [4798]~P146(x47981)+E(f326(f100(x47981),f77(a920)),f77(x47981))
% 163.42/163.15 [4799]~P146(x47991)+E(f326(f100(x47991),f2(a920)),f2(x47991))
% 163.42/163.15 [4800]~P143(x48001)+E(f326(f102(x48001),f77(a1)),f77(x48001))
% 163.42/163.15 [4801]~P143(x48011)+E(f326(f102(x48011),f2(a1)),f2(x48011))
% 163.42/163.15 [4802]E(x48021,f2(a920))+~E(f326(f100(a1),x48021),f2(a1))
% 163.42/163.15 [4838]~P120(x48381)+E(f326(f75(x48381),f77(x48381)),f77(x48381))
% 163.42/163.15 [4839]~P87(x48391)+E(f326(f75(x48391),f2(x48391)),f2(x48391))
% 163.42/163.15 [4840]~P96(x48401)+E(f326(f78(x48401),f189(x48401)),f241(x48401))
% 163.42/163.15 [4841]~P76(x48411)+E(f326(f78(x48411),f2(x48411)),f2(x48411))
% 163.42/163.15 [4842]~P96(x48421)+E(f326(f78(x48421),f241(x48421)),f189(x48421))
% 163.42/163.15 [4843]~P83(x48431)+E(f326(f165(x48431),f113(x48431)),f2(x48431))
% 163.42/163.15 [4861]~P38(x48611)+P42(f326(f172(a1),x48611))
% 163.42/163.15 [4890]~P94(x48901)+E(f326(f78(x48901),f77(x48901)),f326(f103(x48901),a97))
% 163.42/163.15 [4905]~P94(x49051)+P29(x49051,f326(f103(x49051),a82))
% 163.42/163.15 [4931]P38(x49311)+~P42(f326(f172(a1),x49311))
% 163.42/163.15 [4978]E(f326(f100(a1),f326(a104,x49781)),x49781)+P106(f326(a194,x49781))
% 163.42/163.15 [5048]~P116(x50481)+E(f244(x50481,f77(x50481),f80(x50481)),f243(x50481))
% 163.42/163.15 [5081]~P94(x50811)+~P29(x50811,f326(f103(x50811),a97))
% 163.42/163.15 [5229]E(f326(f75(a1),x52291),x52291)+P106(f326(f326(f235(a1),x52291),f2(a1)))
% 163.42/163.15 [5247]~E(f326(a104,x52471),f2(a920))+P106(f326(f326(f234(a1),x52471),f2(a1)))
% 163.42/163.15 [5314]~P106(f326(a194,x53141))+P106(f326(f326(f235(a1),x53141),f2(a1)))
% 163.42/163.15 [5354]~P127(x53541)+P106(f326(f326(f234(x53541),f2(x53541)),f77(x53541)))
% 163.42/163.15 [5355]~P143(x53551)+P106(f326(f326(f328(x53551),f77(x53551)),f109(x53551)))
% 163.42/163.15 [5356]~P146(x53561)+P106(f326(f326(f328(x53561),f77(x53561)),f186(x53561)))
% 163.42/163.15 [5357]~P143(x53571)+P106(f326(f326(f328(x53571),f2(x53571)),f109(x53571)))
% 163.42/163.15 [5358]~P146(x53581)+P106(f326(f326(f328(x53581),f2(x53581)),f186(x53581)))
% 163.42/163.15 [5359]~P127(x53591)+P106(f326(f326(f235(x53591),f2(x53591)),f77(x53591)))
% 163.42/163.15 [5412]E(x54121,f2(a920))+~P106(f326(f326(f234(a920),x54121),f2(a920)))
% 163.42/163.15 [5454]E(f326(a104,x54541),f2(a920))+~P106(f326(f326(f234(a1),x54541),f2(a1)))
% 163.42/163.15 [5516]P106(f326(a194,x55161))+~P106(f326(f326(f235(a1),x55161),f2(a1)))
% 163.42/163.15 [5523]~P109(x55231)+P17(x55231,f921(x55231),f148(x55231,x55231,f7(x55231)))
% 163.42/163.15 [5541]P42(x55411)+~P106(f326(f326(f234(a1),f2(a1)),f406(x55411)))
% 163.42/163.15 [5546]E(f326(f75(a1),x55461),f326(f78(a1),x55461))+~P106(f326(f326(f235(a1),x55461),f2(a1)))
% 163.42/163.15 [5718]~P127(x57181)+~P106(f326(f326(f234(x57181),f77(x57181)),f2(x57181)))
% 163.42/163.15 [5719]~P127(x57191)+~P106(f326(f326(f235(x57191),f77(x57191)),f2(x57191)))
% 163.42/163.15 [5735]~E(x57351,f2(a920))+P106(f326(f326(f234(a1),f326(f100(a1),x57351)),f2(a1)))
% 163.42/163.15 [5736]~E(x57361,f2(a1))+P106(f326(f326(f235(a1),f326(f75(a1),x57361)),f77(a1)))
% 163.42/163.15 [5858]~P83(x58581)+E(f142(x58581,x58581,f79(x58581),f2(x58581)),f165(x58581))
% 163.42/163.15 [6032]~P103(x60321)+P26(a920,x60321,f100(x60321),f241(f928(a920,a916)))
% 163.42/163.15 [6238]E(x62381,f2(a920))+~P106(f326(f326(f234(a1),f326(f100(a1),x62381)),f2(a1)))
% 163.42/163.15 [6239]E(x62391,f2(a1))+~P106(f326(f326(f235(a1),f326(f75(a1),x62391)),f77(a1)))
% 163.42/163.15 [7047]~P106(f326(f326(f235(a1),x70471),f2(a1)))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x70471),x70471)),f2(a1)))
% 163.42/163.15 [7603]P106(f326(f326(f235(a1),x76031),f2(a1)))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),x76031),x76031)),f2(a1)))
% 163.42/163.15 [8150]E(x81501,f326(a5,f2(a920)))+P106(f326(f326(f235(a920),f326(f326(f3(a920),f326(a22,x81501)),f326(a112,f2(a920)))),f326(a22,x81501)))
% 163.42/163.15 [8916]~P106(f326(f326(f235(a1),x89161),f2(a1)))+P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89161),x89161)),a97)),f2(a1)))
% 163.42/163.15 [9013]~P106(f326(f326(f235(a1),x90131),f2(a1)))+P106(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x90131)),x90131)),f2(a1)))
% 163.42/163.15 [9331]P106(f326(f326(f235(a1),x93311),f2(a1)))+~P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93311),x93311)),a97)),f2(a1)))
% 163.42/163.15 [9392]P106(f326(f326(f235(a1),x93921),f2(a1)))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x93921)),x93921)),f2(a1)))
% 163.42/163.15 [4879]~E(a82,x48791)+E(f326(f326(f79(a1),x48791),x48791),a82)
% 163.42/163.15 [4880]~E(x48801,a82)+E(f326(f326(f79(a1),x48801),x48801),a82)
% 163.42/163.15 [4891]E(x48911,f2(a1))+E(f326(f326(f35(a1),x48911),x48911),f77(a1))
% 163.42/163.15 [5025]E(x50251,a82)+~E(f326(f326(f79(a1),x50251),x50251),a82)
% 163.42/163.15 [5026]E(a82,x50261)+~E(f326(f326(f79(a1),x50261),x50261),a82)
% 163.42/163.15 [5038]~P6(x50381)+E(f36(x50381,f189(f928(x50381,a916))),f189(x50381))
% 163.42/163.15 [5039]~P6(x50391)+E(f36(x50391,f241(f928(x50391,a916))),f241(x50391))
% 163.42/163.15 [5040]~P6(x50401)+E(f37(x50401,f189(f928(x50401,a916))),f241(x50401))
% 163.42/163.15 [5041]~P6(x50411)+E(f37(x50411,f241(f928(x50411,a916))),f189(x50411))
% 163.42/163.15 [5042]~P109(x50421)+E(f139(x50421,f189(f928(x50421,a916))),f113(x50421))
% 163.42/163.15 [5184]E(x51841,f2(a920))+P106(f326(f326(f235(a920),f2(a920)),x51841))
% 163.42/163.15 [5204]~P7(x52041)+P106(f326(f326(f234(a1),f2(a1)),x52041))
% 163.42/163.15 [5238]~E(f326(f103(a920),x52381),f2(a920))+P106(f326(f326(f234(a1),x52381),a82))
% 163.42/163.15 [5243]P42(x52431)+P106(f326(f326(f328(a1),f406(x52431)),x52431))
% 163.42/163.15 [5244]E(x52441,f326(a5,f2(a920)))+P106(f326(f326(f234(a99),f77(a99)),x52441))
% 163.42/163.15 [5285]P106(f326(a194,x52851))+P106(f326(f326(f234(a1),f2(a1)),x52851))
% 163.42/163.15 [5336]E(f326(f100(a1),f326(a104,x53361)),f2(a1))+P106(f326(f326(f234(a1),f2(a1)),x53361))
% 163.42/163.15 [5393]E(f326(f100(a1),f326(f103(a920),x53931)),f326(f103(a1),x53931))+P106(f326(a194,f326(f103(a1),x53931)))
% 163.42/163.15 [5418]E(f326(f103(a920),x54181),f2(a920))+~P106(f326(a194,f326(f103(a1),x54181)))
% 163.42/163.15 [5419]E(f326(f103(a920),x54191),f2(a920))+~P106(f326(f326(f234(a1),x54191),a82))
% 163.42/163.15 [5451]P7(x54511)+~P106(f326(f326(f234(a1),f2(a1)),x54511))
% 163.42/163.15 [5526]E(f326(a112,f859(x55261)),x55261)+~P106(f326(f326(f235(a920),f2(a920)),x55261))
% 163.42/163.15 [5535]E(f326(a112,f326(f103(a920),x55351)),f77(a920))+~P106(f326(a194,f326(f103(a1),x55351)))
% 163.42/163.15 [5542]E(f326(f100(a1),f349(x55421)),x55421)+~P106(f326(f326(f235(a1),f2(a1)),x55421))
% 163.42/163.15 [5549]~E(x55491,f326(a5,f2(a920)))+~P106(f326(f326(f234(a99),f77(a99)),x55491))
% 163.42/163.15 [5556]E(f326(f100(a1),f326(f103(a920),x55561)),f2(a1))+~P106(f326(a194,f326(f103(a1),x55561)))
% 163.42/163.15 [5582]E(f326(f165(a920),x55821),f2(a920))+P106(f326(f326(f328(a920),f580(x55821)),f326(f172(a920),x55821)))
% 163.42/163.15 [5603]E(f326(f100(a1),f326(a104,x56031)),x56031)+~P106(f326(f326(f234(a1),f2(a1)),x56031))
% 163.42/163.15 [5611]~P106(f326(a194,x56111))+~P106(f326(f326(f234(a1),f2(a1)),x56111))
% 163.42/163.15 [5711]E(f326(f326(f79(a920),f77(a920)),f326(f103(a920),x57111)),f77(a920))+~P106(f326(f326(f235(a1),x57111),a82))
% 163.42/163.15 [5778]E(x57781,f2(a920))+~P106(f326(f326(f235(a920),x57781),f326(a112,f2(a920))))
% 163.42/163.15 [5817]E(f326(f326(f3(a920),f326(f103(a920),x58171)),f77(a920)),f2(a920))+~P106(f326(f326(f234(a1),x58171),a82))
% 163.42/163.15 [5818]E(f326(f326(f79(a920),f326(f103(a920),x58181)),f77(a920)),f77(a920))+~P106(f326(f326(f235(a1),x58181),a82))
% 163.42/163.15 [5830]~P42(x58301)+E(f326(f34(a920),f326(f309(a1,a920,a104),x58301)),f326(f34(a1),x58301))
% 163.42/163.15 [5859]~P109(x58591)+E(f236(x58591,f326(f9(x58591,x58591,a916),f234(x58591))),f233(x58591))
% 163.42/163.15 [5860]~P109(x58601)+E(f237(x58601,f326(f9(x58601,x58601,a916),f234(x58601))),f188(x58601))
% 163.42/163.15 [5870]E(f44(a920,f326(a112,f2(a920)),f326(f103(a920),x58701)),f326(a112,f2(a920)))+~P106(f326(a194,f326(f103(a1),x58701)))
% 163.42/163.15 [5879]~P106(f326(f326(f235(a1),f2(a1)),x58791))+P106(f326(f326(f234(a1),f77(a1)),x58791))
% 163.42/163.15 [5880]P106(f326(f326(f235(a1),f2(a1)),x58801))+~P106(f326(f326(f234(a1),f77(a1)),x58801))
% 163.42/163.15 [5891]E(f326(a112,f326(f326(f3(a920),x58911),f77(a920))),x58911)+~P106(f326(f326(f235(a920),f2(a920)),x58911))
% 163.42/163.15 [5947]P106(f326(f326(f235(a920),f2(a920)),f349(x59471)))+~P106(f326(f326(f235(a1),f2(a1)),x59471))
% 163.42/163.15 [6008]E(f44(a1,f326(f103(a1),a97),x60081),f326(f326(f3(a1),x60081),f77(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x60081))
% 163.42/163.15 [6045]~P106(f326(f326(f235(a1),a82),x60451))+P106(f326(f326(f235(a920),f2(a920)),f326(f103(a920),x60451)))
% 163.42/163.15 [6050]E(f326(a22,f809(x60501)),x60501)+~P106(f326(f326(f328(a920),x60501),f241(f928(a920,a916))))
% 163.42/163.15 [6103]P106(f326(f326(f235(a920),f2(a920)),f326(a104,x61031)))+~P106(f326(f326(f235(a1),f2(a1)),x61031))
% 163.42/163.15 [6153]~P106(f326(f326(f235(a920),f2(a920)),x61531))+P106(f326(f326(f235(a1),f2(a1)),f326(f100(a1),x61531)))
% 163.42/163.15 [6189]~P106(f326(f326(f235(a920),f2(a920)),f326(a104,x61891)))+P106(f326(f326(f235(a1),f2(a1)),x61891))
% 163.42/163.15 [6204]~P42(x62041)+E(f326(f309(a920,a1,f100(a1)),f326(f309(a1,a920,a104),x62041)),x62041)
% 163.42/163.15 [6217]P106(f326(f326(f235(a1),a82),x62171))+~P106(f326(f326(f235(a920),f2(a920)),f326(f103(a920),x62171)))
% 163.42/163.15 [6279]P106(f326(f326(f235(a920),f2(a920)),x62791))+~P106(f326(f326(f235(a1),f2(a1)),f326(f100(a1),x62791)))
% 163.42/163.15 [6396]E(f326(f309(a920,a1,f100(a1)),f326(f281(a920),f326(a104,x63961))),f326(f301(a1,f2(a1)),x63961))+~P106(f326(f326(f234(a1),f2(a1)),x63961))
% 163.42/163.15 [6412]~P127(x64121)+P106(f326(f326(f235(x64121),f2(x64121)),f326(f326(f79(x64121),f77(x64121)),f77(x64121))))
% 163.42/163.15 [6461]P106(f326(f326(f235(a920),f326(a112,f2(a920))),f326(a104,x64611)))+~P106(f326(f326(f235(a1),f77(a1)),x64611))
% 163.42/163.15 [6563]E(x65631,f2(a1))+P106(f326(f48(f2(a1),x65631),f326(f326(f251(a1,a1),f2(a1)),f2(a1))))
% 163.42/163.15 [6731]~P106(f326(f326(f235(a920),f326(a112,f2(a920))),f326(a104,x67311)))+P106(f326(f326(f235(a1),f77(a1)),x67311))
% 163.42/163.15 [7160]~P118(x71601)+P39(x71601,f326(f261(f927(x71601,x71601)),f326(f256(x71601,x71601,a916),f235(x71601))))
% 163.42/163.15 [5765]E(f326(f103(a920),f326(f326(f3(a1),x57651),a97)),f326(a112,f326(f103(a920),x57651)))+P106(f326(a194,f326(f103(a1),x57651)))
% 163.42/163.15 [5781]~P38(x57811)+E(f326(f326(f154(a920,a1),f100(a1)),f326(f326(f154(a1,a920),a104),x57811)),x57811)
% 163.42/163.15 [5897]E(f326(f78(a1),f326(f100(a1),f326(a112,f369(x58971)))),x58971)+~P106(f326(f326(f235(a1),x58971),f2(a1)))
% 163.42/163.15 [5907]E(f326(f326(f79(a920),f77(a920)),f326(f103(a920),x59071)),f326(f103(a920),f326(f326(f3(a1),x59071),a97)))+P106(f326(f326(f235(a1),x59071),a82))
% 163.42/163.15 [5949]E(f326(f326(f35(a1),f326(f103(a1),a97)),x59491),f326(f103(a1),a97))+~P106(f326(f326(f235(a1),f2(a1)),x59491))
% 163.42/163.15 [6041]E(f326(f326(f3(a920),f326(f103(a920),x60411)),f77(a920)),f326(f103(a920),f326(f326(f79(a1),x60411),a97)))+P106(f326(f326(f234(a1),x60411),a82))
% 163.42/163.15 [6042]E(f326(f326(f79(a920),f326(f103(a920),x60421)),f77(a920)),f326(f103(a920),f326(f326(f3(a1),x60421),a97)))+P106(f326(f326(f235(a1),x60421),a82))
% 163.42/163.15 [6088]E(f326(a104,f326(f326(f79(a1),f77(a1)),x60881)),f326(a112,f326(a104,x60881)))+~P106(f326(f326(f234(a1),f2(a1)),x60881))
% 163.42/163.15 [6124]E(f326(a112,f326(f326(f3(a920),x61241),f326(a112,f2(a920)))),x61241)+~P106(f326(f326(f235(a920),f2(a920)),x61241))
% 163.42/163.15 [6345]E(f44(a920,f326(a112,f2(a920)),f326(f103(a920),x63451)),f326(a104,f44(a1,f77(a1),f326(f103(a1),x63451))))+P106(f326(a194,f326(f103(a1),x63451)))
% 163.42/163.15 [6389]~P106(f326(f326(f234(a1),a82),x63891))+P106(f326(f326(f234(a1),a82),f326(f326(f79(a1),x63891),x63891)))
% 163.42/163.15 [6390]~P106(f326(f326(f235(a1),a97),x63901))+P106(f326(f326(f234(a1),a97),f326(f326(f79(a1),x63901),x63901)))
% 163.42/163.15 [6391]~P106(f326(f326(f235(a1),a82),x63911))+P106(f326(f326(f235(a1),a82),f326(f326(f79(a1),x63911),x63911)))
% 163.42/163.15 [6392]~P106(f326(f326(f235(a1),a97),x63921))+P106(f326(f326(f235(a1),a97),f326(f326(f79(a1),x63921),x63921)))
% 163.42/163.15 [6577]~P106(f326(f60(x65771),f241(f928(x65771,a916))))+P106(f326(f60(f924(x65771)),f241(f928(f924(x65771),a916))))
% 163.42/163.15 [6661]~P106(f326(f326(f234(a1),f2(a1)),x66611))+P106(f326(f326(f235(a1),f2(a1)),f326(f326(f79(a1),f77(a1)),x66611)))
% 163.42/163.15 [6668]E(f326(f250(a1,a1),f46(f77(a1),f326(f103(a1),x66681))),f326(f326(f35(a1),f77(a1)),f326(f103(a1),x66681)))+~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x66681)))
% 163.42/163.15 [6690]E(f326(f255(a1,a1),f46(f77(a1),f326(f103(a1),x66901))),f44(a1,f77(a1),f326(f103(a1),x66901)))+~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x66901)))
% 163.42/163.15 [6702]P106(f326(f60(x67021),f241(f928(x67021,a916))))+~P106(f326(f60(f924(x67021)),f241(f928(f924(x67021),a916))))
% 163.42/163.15 [6732]P106(f326(f326(f234(a1),a82),x67321))+~P106(f326(f326(f234(a1),a82),f326(f326(f79(a1),x67321),x67321)))
% 163.42/163.15 [6733]P106(f326(f326(f235(a1),a82),x67331))+~P106(f326(f326(f235(a1),a82),f326(f326(f79(a1),x67331),x67331)))
% 163.42/163.15 [6734]P106(f326(f326(f235(a1),a97),x67341))+~P106(f326(f326(f234(a1),a97),f326(f326(f79(a1),x67341),x67341)))
% 163.42/163.15 [6735]P106(f326(f326(f235(a1),a97),x67351))+~P106(f326(f326(f235(a1),a97),f326(f326(f79(a1),x67351),x67351)))
% 163.42/163.15 [7051]~P106(f326(f60(x70511),f241(f928(x70511,a916))))+P106(f326(f326(f235(a920),f2(a920)),f326(f34(x70511),f241(f928(x70511,a916)))))
% 163.42/163.15 [7642]P106(f326(f60(a920),x76421))+~P106(f326(f60(a1),f326(f309(a920,a1,f100(a1)),x76421)))
% 163.42/163.15 [5686]~E(a97,x56861)+E(f326(f326(f3(a1),f326(f326(f79(a1),x56861),x56861)),a97),a97)
% 163.42/163.15 [5687]~E(x56871,a97)+E(f326(f326(f3(a1),f326(f326(f79(a1),x56871),x56871)),a97),a97)
% 163.42/163.15 [6212]E(x62121,a97)+~E(f326(f326(f3(a1),f326(f326(f79(a1),x62121),x62121)),a97),a97)
% 163.42/163.15 [6213]E(a97,x62131)+~E(f326(f326(f3(a1),f326(f326(f79(a1),x62131),x62131)),a97),a97)
% 163.42/163.15 [6630]~E(f326(f103(a920),x66301),f2(a920))+P106(f326(a194,f326(f103(a1),f326(f326(f79(a1),x66301),a97))))
% 163.42/163.15 [6981]~P106(f326(a194,f326(f103(a1),x69811)))+P106(f326(a194,f326(f103(a1),f326(f326(f79(a1),x69811),x69811))))
% 163.42/163.15 [6982]~P106(f326(f326(f234(a1),x69821),a82))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x69821),x69821)),a82))
% 163.42/163.15 [6983]~P106(f326(f326(f234(a1),x69831),a97))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x69831),x69831)),a97))
% 163.42/163.15 [6984]~P106(f326(f326(f235(a1),x69841),a82))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x69841),x69841)),a82))
% 163.42/163.15 [6985]~P106(f326(f326(f234(a1),x69851),a97))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x69851),x69851)),a97))
% 163.42/163.15 [7306]E(f326(f103(a920),x73061),f2(a920))+~P106(f326(a194,f326(f103(a1),f326(f326(f79(a1),x73061),a97))))
% 163.42/163.15 [7557]~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x75571)))+P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),f326(f326(f79(a1),x75571),x75571))))
% 163.42/163.15 [7558]P106(f326(a194,f326(f103(a1),x75581)))+~P106(f326(a194,f326(f103(a1),f326(f326(f79(a1),x75581),x75581))))
% 163.42/163.15 [7559]P106(f326(f326(f234(a1),x75591),a82))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),x75591),x75591)),a82))
% 163.42/163.15 [7560]P106(f326(f326(f234(a1),x75601),a97))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),x75601),x75601)),a97))
% 163.42/163.15 [7561]P106(f326(f326(f234(a1),x75611),a97))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),x75611),x75611)),a97))
% 163.42/163.15 [7562]P106(f326(f326(f235(a1),x75621),a82))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),x75621),x75621)),a82))
% 163.42/163.15 [7921]E(f326(a106,f536(x79211)),x79211)+~P106(f326(f326(f328(f928(f927(a920,a920),a916)),x79211),a98))
% 163.42/163.15 [6550]~P94(x65501)+E(f326(f103(x65501),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(x65501))
% 163.42/163.15 [7031]~P106(f326(a194,f326(f103(a1),x70311)))+E(f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),x70311),x70311)),a97)),f2(a920))
% 163.42/163.15 [8095]~P106(f326(f326(f235(a1),f326(f103(a1),x80951)),f2(a1)))+E(f326(f250(a1,a1),f326(a50,f49(f326(f78(a1),f77(a1)),f326(f78(a1),f326(f103(a1),x80951))))),f326(f326(f35(a1),f77(a1)),f326(f103(a1),x80951)))
% 163.42/163.15 [8108]~P106(f326(f326(f235(a1),f326(f103(a1),x81081)),f2(a1)))+E(f326(f255(a1,a1),f326(a50,f49(f326(f78(a1),f77(a1)),f326(f78(a1),f326(f103(a1),x81081))))),f44(a1,f77(a1),f326(f103(a1),x81081)))
% 163.42/163.15 [8157]~P106(f326(f326(f234(a1),a82),x81571))+P106(f326(f326(f234(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x81571),x81571)),a97)))
% 163.42/163.15 [8158]~P106(f326(f326(f234(a1),a97),x81581))+P106(f326(f326(f234(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x81581),x81581)),a97)))
% 163.42/163.15 [8159]~P106(f326(f326(f234(a1),a82),x81591))+P106(f326(f326(f235(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x81591),x81591)),a97)))
% 163.42/163.15 [8160]~P106(f326(f326(f235(a1),a97),x81601))+P106(f326(f326(f235(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x81601),x81601)),a97)))
% 163.42/163.15 [8457]~P94(x84571)+~P29(x84571,f326(f103(x84571),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 163.42/163.15 [8638]P106(f326(f326(f234(a1),a82),x86381))+~P106(f326(f326(f234(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x86381),x86381)),a97)))
% 163.42/163.15 [8639]P106(f326(f326(f234(a1),a82),x86391))+~P106(f326(f326(f235(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x86391),x86391)),a97)))
% 163.42/163.15 [8640]P106(f326(f326(f234(a1),a97),x86401))+~P106(f326(f326(f234(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x86401),x86401)),a97)))
% 163.42/163.15 [8641]P106(f326(f326(f235(a1),a97),x86411))+~P106(f326(f326(f235(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x86411),x86411)),a97)))
% 163.42/163.15 [8963]E(f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),x89631),x89631)),a97)),f326(f326(f85(a920,a920),f326(f103(a920),x89631)),f326(f326(f10(a920,a920,a920),a112),f326(f326(f20(a920,a920,a920),f79(a920)),f7(a920)))))+P106(f326(a194,f326(f103(a1),x89631)))
% 163.42/163.15 [9826]E(x98261,f189(f928(f927(a920,a920),a916)))+P106(f326(f326(f328(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f251(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x98261),f189(f928(f927(a920,a920),a916)))),a68))
% 163.42/163.15 [8890]~P106(f326(a194,f326(f103(a1),x88901)))+P106(f326(a194,f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88901),x88901)),a97))))
% 163.42/163.15 [8891]~P106(f326(f326(f235(a1),x88911),a82))+P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88911),x88911)),a97)),a82))
% 163.42/163.15 [8892]~P106(f326(f326(f234(a1),x88921),a97))+P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88921),x88921)),a97)),a97))
% 163.42/163.15 [8893]~P106(f326(f326(f235(a1),x88931),a82))+P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88931),x88931)),a97)),a82))
% 163.42/163.15 [8894]~P106(f326(f326(f235(a1),x88941),a97))+P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88941),x88941)),a97)),a97))
% 163.42/163.15 [9004]~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x90041)))+P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x90041),x90041)),a97))))
% 163.42/163.15 [9162]~P94(x91621)+E(f326(f326(f79(x91621),f77(x91621)),f77(x91621)),f326(f103(x91621),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 163.42/163.15 [9315]P106(f326(a194,f326(f103(a1),x93151)))+~P106(f326(a194,f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93151),x93151)),a97))))
% 163.42/163.15 [9316]P106(f326(f326(f234(a1),x93161),a97))+~P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93161),x93161)),a97)),a97))
% 163.42/163.15 [9317]P106(f326(f326(f235(a1),x93171),a82))+~P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93171),x93171)),a97)),a82))
% 163.42/163.15 [9318]P106(f326(f326(f235(a1),x93181),a82))+~P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93181),x93181)),a97)),a82))
% 163.42/163.15 [9319]P106(f326(f326(f235(a1),x93191),a97))+~P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93191),x93191)),a97)),a97))
% 163.42/163.15 [9871]~P106(f326(f60(f927(a920,a920)),x98711))+P106(f326(f326(f328(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f251(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),f189(f928(f927(a920,a920),a916))),x98711)),a69))
% 163.42/163.15 [9649]~P146(x96491)+E(f326(f326(f243(x96491),f77(x96491)),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x96491))
% 163.42/163.15 [9650]~P146(x96501)+E(f326(f326(f243(x96501),f2(x96501)),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(x96501))
% 163.42/163.15 [10095]~P106(f326(f326(f235(a920),f77(a920)),x100951))+P106(f326(f326(f235(a920),f2(a920)),f326(f326(f35(a920),x100951),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 163.42/163.15 [10101]~P106(f326(f326(f235(a920),f2(a920)),x101011))+P106(f326(f326(f235(a920),f2(a920)),f326(f326(f35(a920),f326(f326(f79(a920),x101011),f77(a920))),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 163.42/163.15 [10141]~E(f44(a920,x101411,f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(a920))+P106(f326(f326(f235(a920),f2(a920)),f44(a920,x101411,f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 163.42/163.15 [10171]E(f44(a920,x101711,f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(a920))+~P106(f326(f326(f235(a920),f2(a920)),f44(a920,x101711,f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 163.42/163.15 [4807]~P8(x48071,x48072)+P45(x48071,x48072)
% 163.42/163.15 [4808]~P39(x48081,x48082)+P59(x48081,x48082)
% 163.42/163.15 [4809]~P46(x48091,x48092)+P59(x48091,x48092)
% 163.42/163.15 [4811]~P8(x48111,x48112)+P51(x48111,x48112)
% 163.42/163.15 [4813]~P16(x48131,x48132)+P51(x48131,x48132)
% 163.42/163.15 [4815]~P8(x48151,x48152)+P52(x48151,x48152)
% 163.42/163.15 [4817]~P16(x48171,x48172)+P52(x48171,x48172)
% 163.42/163.15 [4818]~P8(x48181,x48182)+P16(x48181,x48182)
% 163.42/163.15 [4768]~E(x47681,x47682)+E(f268(x47681,x47682),f77(a99))
% 163.42/163.15 [4771]E(f217(x47711,x47712),x47711)+~E(x47712,f2(a920))
% 163.42/163.15 [4778]~E(x47782,f113(x47781))+E(f152(x47781,x47782),f113(x47781))
% 163.42/163.15 [4797]~E(f152(x47972,x47971),f113(x47972))+E(x47971,f113(x47972))
% 163.42/163.15 [4822]~P1(x48222)+P1(f928(x48221,x48222))
% 163.42/163.15 [4823]~P107(x48232)+P107(f928(x48231,x48232))
% 163.42/163.15 [4824]~P108(x48242)+P108(f928(x48241,x48242))
% 163.42/163.15 [4825]~P110(x48252)+P110(f928(x48251,x48252))
% 163.42/163.15 [4826]~P2(x48262)+P2(f928(x48261,x48262))
% 163.42/163.15 [4827]~P98(x48272)+P3(f928(x48271,x48272))
% 163.42/163.15 [4828]~P2(x48282)+P101(f928(x48281,x48282))
% 163.42/163.15 [4829]~P4(x48292)+P4(f928(x48291,x48292))
% 163.42/163.15 [4830]~P2(x48302)+P102(f928(x48301,x48302))
% 163.42/163.15 [4831]~P99(x48312)+P99(f928(x48311,x48312))
% 163.42/163.15 [4832]~P6(x48322)+P6(f928(x48321,x48322))
% 163.42/163.15 [4833]~P96(x48332)+P96(f928(x48331,x48332))
% 163.42/163.15 [4834]~P90(x48342)+P90(f928(x48341,x48342))
% 163.42/163.15 [4835]~P117(x48352)+P117(f928(x48351,x48352))
% 163.42/163.15 [4836]~P98(x48362)+P100(f928(x48361,x48362))
% 163.42/163.15 [4837]~P98(x48372)+P98(f928(x48371,x48372))
% 163.42/163.15 [4850]E(x48501,x48502)+~E(f326(a112,x48501),f326(a112,x48502))
% 163.42/163.15 [4851]E(x48511,x48512)+~E(f326(a106,x48511),f326(a106,x48512))
% 163.42/163.15 [4852]E(x48521,x48522)+~E(f326(a5,x48521),f326(a5,x48522))
% 163.42/163.15 [4854]E(x48541,x48542)+~E(f326(a22,x48541),f326(a22,x48542))
% 163.42/163.15 [4907]P41(x49071,x49072)+~E(f706(x49072,x49071),f707(x49072,x49071))
% 163.42/163.15 [4937]~P59(x49371,x49372)+P41(x49371,f306(x49371,x49372))
% 163.42/163.15 [4938]~P53(x49381,x49382)+P53(x49381,f306(x49381,x49382))
% 163.42/163.15 [4951]~P62(x49511)+E(f44(x49511,x49512,x49512),f2(x49511))
% 163.42/163.15 [4985]~P39(x49851,x49852)+P39(f921(x49851),f146(x49851,x49852))
% 163.42/163.15 [4986]~P39(x49861,x49862)+P39(f921(x49861),f145(x49861,x49862))
% 163.42/163.15 [4987]~P40(x49871,x49872)+P40(f921(x49871),f147(x49871,x49872))
% 163.42/163.15 [4988]~P40(x49881,x49882)+P40(f921(x49881),f158(x49881,x49882))
% 163.42/163.15 [4989]~P53(x49891,x49892)+P53(f921(x49891),f158(x49891,x49892))
% 163.42/163.15 [5086]~P39(x50861,x50862)+P39(f928(x50861,a916),f319(x50861,x50862))
% 163.42/163.15 [5087]~P39(x50871,x50872)+P39(f928(x50871,a916),f317(x50871,x50872))
% 163.42/163.15 [5213]~P7(x52131)+P42(f302(a1,x52131,x52132))
% 163.42/163.15 [5317]~P39(x53171,x53172)+P61(x53171,f66(x53171,x53171,x53172))
% 163.42/163.15 [5824]~P80(x58241)+P26(x58241,x58241,f78(x58241),x58242)
% 163.42/163.15 [4792]~E(x47922,f113(x47921))+E(f326(f167(x47921),x47922),f113(x47921))
% 163.42/163.15 [4793]~E(x47932,f113(x47931))+E(f326(f168(x47931),x47932),f113(x47931))
% 163.42/163.15 [4856]E(x48561,f326(a104,x48562))+~E(f326(f100(a1),x48561),x48562)
% 163.42/163.15 [4859]E(x48591,f113(x48592))+~E(f326(f167(x48592),x48591),f113(x48592))
% 163.42/163.15 [4860]E(x48601,f113(x48602))+~E(f326(f168(x48602),x48601),f113(x48602))
% 163.42/163.15 [4876]~P94(x48761)+E(f326(f103(x48761),x48762),f326(f102(x48761),x48762))
% 163.42/163.15 [4884]~P5(x48841)+P106(f326(f60(x48841),x48842))
% 163.42/163.15 [4892]~E(f667(x48922,x48921),f113(x48921))+E(f179(x48921,x48922),f113(f921(x48921)))
% 163.42/163.15 [4901]~E(x49012,f113(x49011))+E(f326(f172(x49011),x49012),f189(f928(x49011,a916)))
% 163.42/163.15 [4902]~E(x49022,f113(x49021))+E(f189(f928(x49021,a916)),f326(f172(x49021),x49022))
% 163.42/163.15 [4904]E(x49041,x49042)+~E(f326(f100(a1),x49041),f326(f100(a1),x49042))
% 163.42/163.15 [4908]E(f215(x49081,x49082),f2(a920))+P106(f326(f60(x49081),x49082))
% 163.42/163.15 [4926]~P120(x49261)+E(f81(x49261,f81(x49261,x49262)),f81(x49261,x49262))
% 163.42/163.15 [4940]~P113(x49401)+E(f326(f326(f243(x49401),x49402),f77(a920)),x49402)
% 163.42/163.15 [4941]~P82(x49411)+E(f326(f326(f243(x49411),x49412),f77(a920)),x49412)
% 163.42/163.15 [4942]~P53(x49421,x49422)+E(f326(f285(x49421,x49421),x49422),x49422)
% 163.42/163.15 [4946]E(x49461,x49462)+E(f268(x49461,x49462),f326(f326(f79(a99),x49462),f77(a99)))
% 163.42/163.15 [4949]E(f326(f34(x49491),x49492),f2(a920))+P106(f326(f60(x49491),x49492))
% 163.42/163.15 [4952]~E(f152(x49521,x49522),x49522)+P106(f326(f137(x49521),x49522))
% 163.42/163.15 [4955]~P3(x49551)+E(f326(f326(f110(x49551),x49552),f189(x49551)),x49552)
% 163.42/163.15 [4956]~P76(x49561)+E(f326(f326(f3(x49561),x49562),f2(x49561)),x49562)
% 163.42/163.15 [4957]~P113(x49571)+E(f326(f326(f80(x49571),x49572),f77(x49571)),x49572)
% 163.42/163.15 [4958]~P77(x49581)+E(f326(f326(f80(x49581),x49582),f77(x49581)),x49582)
% 163.42/163.15 [4959]~P82(x49591)+E(f326(f326(f80(x49591),x49592),f77(x49591)),x49592)
% 163.42/163.15 [4960]~P100(x49601)+E(f326(f326(f101(x49601),x49602),f241(x49601)),x49602)
% 163.42/163.15 [4961]~P72(x49611)+E(f326(f326(f79(x49611),x49612),f2(x49611)),x49612)
% 163.42/163.15 [4962]~P113(x49621)+E(f326(f326(f79(x49621),x49622),f2(x49621)),x49622)
% 163.42/163.15 [4963]~P83(x49631)+E(f326(f326(f79(x49631),x49632),f2(x49631)),x49632)
% 163.42/163.15 [4964]~P124(x49641)+E(f326(f326(f290(x49641),x49642),f77(x49641)),x49642)
% 163.42/163.15 [4965]~P62(x49651)+E(f326(f326(f35(x49651),x49652),f77(x49651)),x49652)
% 163.42/163.15 [4966]~P113(x49661)+E(f326(f326(f243(x49661),x49662),f2(a920)),f77(x49661))
% 163.42/163.15 [4967]~P116(x49671)+E(f326(f326(f243(x49671),x49672),f2(a920)),f77(x49671))
% 163.42/163.15 [4968]~E(x49682,f189(f928(x49681,a916)))+E(f326(f34(x49681),x49682),f2(a920))
% 163.42/163.15 [4979]~P62(x49791)+E(f44(x49791,x49792,f2(x49791)),x49792)
% 163.42/163.15 [4990]~P100(x49901)+E(f326(f326(f110(x49901),x49902),f241(x49901)),f241(x49901))
% 163.42/163.15 [4991]~P113(x49911)+E(f326(f326(f80(x49911),x49912),f2(x49911)),f2(x49911))
% 163.42/163.15 [4992]~P134(x49921)+E(f326(f326(f80(x49921),x49922),f2(x49921)),f2(x49921))
% 163.42/163.15 [4993]~P3(x49931)+E(f326(f326(f101(x49931),x49932),f189(x49931)),f189(x49931))
% 163.42/163.15 [4994]~P125(x49941)+E(f326(f326(f290(x49941),x49942),f2(x49941)),f2(x49941))
% 163.42/163.15 [4995]~P62(x49951)+E(f326(f326(f35(x49951),x49952),f2(x49951)),f2(x49951))
% 163.42/163.15 [4997]~P62(x49971)+E(f44(x49971,x49972,f77(x49971)),f2(x49971))
% 163.42/163.15 [4998]~P62(x49981)+E(f44(x49981,f2(x49981),x49982),f2(x49981))
% 163.42/163.15 [5027]E(x50271,f2(a920))+E(f54(x50272,x50271,f113(x50272)),f113(f921(x50272)))
% 163.42/163.15 [5050]P53(x50501,x50502)+~E(f326(f285(x50501,x50501),x50502),x50502)
% 163.42/163.15 [5051]P39(x50511,x50512)+~E(f581(x50512,x50511),f189(f928(x50511,a916)))
% 163.42/163.15 [5052]E(x50521,f113(x50522))+~E(f326(f172(x50522),x50521),f189(f928(x50522,a916)))
% 163.42/163.15 [5053]E(x50531,f113(x50532))+~E(f189(f928(x50532,a916)),f326(f172(x50532),x50531))
% 163.42/163.15 [5056]~E(x50561,x50562)+P106(f326(f326(a323,x50561),x50562))
% 163.42/163.15 [5066]P106(x50661)+P106(f326(f326(a329,x50661),x50662))
% 163.42/163.15 [5067]E(x50671,f113(x50672))+E(f326(f326(f164(x50672),x50671),f2(a920)),f326(f141(x50672),x50671))
% 163.42/163.15 [5070]E(f152(x50701,x50702),x50702)+~P106(f326(f137(x50701),x50702))
% 163.42/163.15 [5077]~P106(x50772)+P106(f326(f326(a329,x50771),x50772))
% 163.42/163.15 [5078]~P106(x50782)+P106(f326(f326(a325,x50781),x50782))
% 163.42/163.15 [5079]~P106(x50791)+P106(f326(f326(a325,x50791),x50792))
% 163.42/163.15 [5089]~E(f668(x50892,x50891),f672(x50892,x50891))+P106(f326(f137(x50891),x50892))
% 163.42/163.15 [5096]E(f326(f261(x50961),x50962),f189(f928(x50961,a916)))+P106(f326(x50962,f535(x50962)))
% 163.42/163.15 [5097]E(f189(f928(x50971,a916)),f326(f261(x50971),x50972))+P106(f326(x50972,f553(x50972)))
% 163.42/163.15 [5166]~P120(x51661)+E(f326(f326(f80(x51661),x51662),f81(x51661,x51662)),f326(f75(x51661),x51662))
% 163.42/163.15 [5177]~E(x51771,f2(a1))+E(f45(x51771,x51772),f326(f326(f251(a1,a1),f2(a1)),f2(a1)))
% 163.42/163.15 [5209]~P59(x52091,x52092)+P59(x52091,f326(f285(x52091,x52091),x52092))
% 163.42/163.15 [5210]~P40(x52101,x52102)+P40(x52101,f326(f285(x52101,x52101),x52102))
% 163.42/163.15 [5211]~P41(x52111,x52112)+P41(x52111,f326(f285(x52111,x52111),x52112))
% 163.42/163.15 [5212]~P53(x52121,x52122)+P53(x52121,f326(f285(x52121,x52121),x52122))
% 163.42/163.15 [5234]E(x52341,x52342)+~P106(f326(f326(a323,x52341),x52342))
% 163.42/163.15 [5245]P106(x52451)+~P106(f326(f326(a324,x52452),x52451))
% 163.42/163.15 [5246]P106(x52461)+~P106(f326(f326(a324,x52461),x52462))
% 163.42/163.15 [5251]~P117(x52511)+P106(f326(f326(f234(x52511),x52512),f241(x52511)))
% 163.42/163.15 [5252]~P113(x52521)+P106(f326(f326(f286(x52521),x52522),f2(x52521)))
% 163.42/163.15 [5256]E(x52561,x52562)+~E(f326(x52561,f407(x52562,x52561)),f326(x52562,f407(x52562,x52561)))
% 163.42/163.15 [5288]E(x52881,f2(a920))+E(f217(x52881,f44(a920,x52882,x52881)),f217(x52882,x52881))
% 163.42/163.15 [5293]~P109(x52931)+P14(x52931,f326(f326(f151(x52931),x52932),f113(x52931)))
% 163.42/163.15 [5295]E(x52951,f2(a1))+P106(f326(f48(x52952,x52951),f45(x52952,x52951)))
% 163.42/163.15 [5312]~P16(x53122,x53121)+P106(f326(f326(x53121,f801(x53121)),f801(x53121)))
% 163.42/163.15 [5315]~E(x53151,x53152)+P106(f326(f326(f235(a920),x53151),f326(a112,x53152)))
% 163.42/163.15 [5325]~E(x53251,f2(a920))+P106(f326(f326(f235(a920),x53251),f326(a112,x53252)))
% 163.42/163.15 [5335]P106(f326(x53351,x53352))+P106(f326(f326(f234(a1),f2(a1)),f333(x53351)))
% 163.42/163.15 [5398]E(f326(f326(f308(x53982),f408(x53982,x53981)),f432(x53982,x53981)),x53981)+E(x53981,f189(f928(x53982,a916)))
% 163.42/163.15 [5399]P59(x53991,x53992)+~P59(x53991,f326(f285(x53991,x53991),x53992))
% 163.42/163.15 [5400]P40(x54001,x54002)+~P40(x54001,f326(f285(x54001,x54001),x54002))
% 163.42/163.15 [5401]P41(x54011,x54012)+~P41(x54011,f326(f285(x54011,x54011),x54012))
% 163.42/163.15 [5402]P53(x54021,x54022)+~P53(x54021,f326(f285(x54021,x54021),x54022))
% 163.42/163.15 [5405]~E(f44(a920,x54052,x54051),f2(a920))+E(f326(f326(f80(a920),x54051),f334(x54051,x54052)),x54052)
% 163.42/163.15 [5406]~E(f44(a1,x54062,x54061),f2(a1))+E(f326(f326(f80(a1),x54061),f335(x54061,x54062)),x54062)
% 163.42/163.15 [5432]~P106(f326(x54321,x54322))+P106(f326(f326(f234(a1),f2(a1)),f332(x54321)))
% 163.42/163.15 [5443]E(f326(f326(f3(a920),f326(a104,x54431)),f326(a104,x54432)),f326(a104,x54431))+~P106(f326(a194,x54432))
% 163.42/163.15 [5472]E(f271(x54721,x54722),f77(a99))+~P106(f326(f326(f234(a99),x54721),f77(a99)))
% 163.42/163.15 [5568]E(f326(f326(f164(x55681),x55682),f668(x55682,x55681)),f326(f326(f164(x55681),x55682),f672(x55682,x55681)))+P106(f326(f137(x55681),x55682))
% 163.42/163.15 [5612]~P106(f326(x56121,f89(x56122,x56121)))+P106(f326(x56121,f596(x56122,x56121)))
% 163.42/163.15 [5676]P61(x56761,x56762)+~P106(f326(f314(x56761,x56762),f554(x56762,x56761)))
% 163.42/163.15 [5821]~P16(x58212,x58211)+P106(f326(f326(x58211,f802(x58211,x58212)),f802(x58211,x58212)))
% 163.42/163.15 [5822]~P16(x58222,x58221)+P106(f326(f326(x58221,f805(x58221,x58222)),f805(x58221,x58222)))
% 163.42/163.15 [5831]~E(f326(a112,f44(a920,x58311,x58312)),x58312)+E(f44(a920,f326(a112,x58311),x58312),f2(a920))
% 163.42/163.15 [5886]P39(x58861,x58862)+P106(f326(f326(f328(x58861),f616(x58862,x58861)),f617(x58862,x58861)))
% 163.42/163.15 [5893]~P94(x58931)+P106(f326(f326(f328(x58931),f326(f103(x58931),x58932)),f109(x58931)))
% 163.42/163.15 [5894]~P143(x58941)+P106(f326(f326(f328(x58941),f326(f100(x58941),x58942)),f109(x58941)))
% 163.42/163.15 [5895]~P146(x58951)+P106(f326(f326(f328(x58951),f326(f100(x58951),x58952)),f186(x58951)))
% 163.42/163.15 [5896]~P143(x58961)+P106(f326(f326(f328(x58961),f326(f102(x58961),x58962)),f109(x58961)))
% 163.42/163.15 [6030]~P40(x60301,x60302)+E(f326(f326(f288(x60301,x60301,x60301),x60302),f306(x60301,x60302)),x60302)
% 163.42/163.15 [6044]E(f326(a112,f44(a920,x60441,x60442)),x60442)+E(f44(a920,f326(a112,x60441),x60442),f326(a112,f44(a920,x60441,x60442)))
% 163.42/163.15 [6474]P39(x64741,x64742)+~P106(f326(f326(f328(x64741),f555(x64742,x64741)),f315(x64741,x64742)))
% 163.42/163.15 [6512]~P127(x65121)+~P106(f326(f326(f235(x65121),f326(f100(x65121),x65122)),f2(x65121)))
% 163.42/163.15 [6513]~P87(x65131)+~P106(f326(f326(f235(x65131),f326(f75(x65131),x65132)),f2(x65131)))
% 163.42/163.15 [6546]E(x65461,f189(f928(x65462,a916)))+~P106(f326(f326(f328(x65462),f408(x65462,x65461)),f432(x65462,x65461)))
% 163.42/163.15 [6604]P106(f326(f326(f235(a1),x66041),f44(a1,x66042,x66041)))+~P106(f326(f326(f235(a1),x66041),f2(a1)))
% 163.42/163.15 [6704]E(f326(f326(f308(a920),f326(a112,x67041)),f302(a920,x67042,x67041)),f302(a920,x67042,f326(a112,x67041)))+~P106(f326(f326(f234(a920),x67042),f326(a112,x67041)))
% 163.42/163.15 [6795]~P109(x67951)+P14(x67951,f150(x67951,x67951,f7(x67951),x67952))
% 163.42/163.15 [6924]E(f326(f167(x69241),x69242),x69242)+~P106(f326(f326(f234(a920),f326(f190(f921(x69241)),x69242)),f77(a920)))
% 163.42/163.15 [6945]~P87(x69451)+P106(f326(f326(f234(x69451),f326(f78(x69451),f326(f75(x69451),x69452))),f2(x69451)))
% 163.42/163.15 [6977]~P39(x69771,x69772)+P39(x69771,f326(f326(f288(x69771,x69771,x69771),x69772),f306(x69771,x69772)))
% 163.42/163.15 [6978]~P53(x69781,x69782)+P53(x69781,f326(f326(f288(x69781,x69781,x69781),x69782),f306(x69781,x69782)))
% 163.42/163.15 [7199]~P106(f326(f326(f235(a1),x71992),f2(a1)))+P106(f326(f326(f234(a1),f44(a1,x71991,x71992)),f2(a1)))
% 163.42/163.15 [7599]~P146(x75991)+E(f191(x75991,f326(f326(f9(x75991,x75991,x75991),f79(x75991)),f77(x75991)),x75992,f2(x75991)),f326(f100(x75991),x75992))
% 163.42/163.15 [7628]~P128(x76281)+~P106(f326(f326(f235(x76281),f326(f326(f80(x76281),x76282),x76282)),f2(x76281)))
% 163.42/163.15 [10262]~P120(x102621)+~P106(f326(f326(f235(x102621),f326(f326(f243(x102621),x102622),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x102621)))
% 163.42/163.15 [4857]~E(x48572,f113(x48571))+E(f326(f190(f921(x48571)),x48572),f2(a920))
% 163.42/163.15 [4893]~E(x48931,f2(a920))+E(f326(f326(f79(a920),x48931),x48932),x48932)
% 163.42/163.15 [4894]~E(x48942,f2(a920))+E(f326(f326(f80(a920),x48941),x48942),f2(a920))
% 163.42/163.15 [4896]~E(x48961,f2(a920))+E(f326(f326(f80(a920),x48961),x48962),f2(a920))
% 163.42/163.15 [4897]~E(x48972,f2(a1))+E(f326(f326(f35(a1),x48971),x48972),f2(a1))
% 163.42/163.15 [4898]~E(x48982,f2(a920))+E(f326(f326(f243(a920),x48981),x48982),f77(a920))
% 163.42/163.15 [4909]E(x49091,f113(x49092))+~E(f326(f190(f921(x49092)),x49091),f2(a920))
% 163.42/163.15 [4910]~P2(x49101)+E(f326(f326(f110(x49101),x49102),x49102),x49102)
% 163.42/163.15 [4912]~P101(x49121)+E(f326(f326(f110(x49121),x49122),x49122),x49122)
% 163.42/163.15 [4914]~P97(x49141)+E(f326(f326(f80(x49141),x49142),x49142),x49142)
% 163.42/163.15 [4915]~P2(x49151)+E(f326(f326(f101(x49151),x49152),x49152),x49152)
% 163.42/163.15 [4917]~P102(x49171)+E(f326(f326(f101(x49171),x49172),x49172),x49172)
% 163.42/163.15 [4919]~P109(x49191)+E(f326(f326(f188(x49191),x49192),x49192),x49192)
% 163.42/163.15 [4921]~P109(x49211)+E(f326(f326(f233(x49211),x49212),x49212),x49212)
% 163.42/163.15 [4939]~P76(x49391)+E(f326(f326(f3(x49391),x49392),x49392),f2(x49391))
% 163.42/163.15 [4953]~P76(x49531)+E(f326(f78(x49531),f326(f78(x49531),x49532)),x49532)
% 163.42/163.15 [4954]~P96(x49541)+E(f326(f78(x49541),f326(f78(x49541),x49542)),x49542)
% 163.42/163.15 [4971]~E(x49712,f2(a920))+E(f326(f326(f243(a920),x49711),x49712),f326(a112,f2(a920)))
% 163.42/163.15 [5006]~P3(x50061)+E(f326(f326(f110(x50061),f189(x50061)),x50062),x50062)
% 163.42/163.15 [5007]~P113(x50071)+E(f326(f326(f80(x50071),f77(x50071)),x50072),x50072)
% 163.42/163.15 [5008]~P77(x50081)+E(f326(f326(f80(x50081),f77(x50081)),x50082),x50082)
% 163.42/163.15 [5009]~P82(x50091)+E(f326(f326(f80(x50091),f77(x50091)),x50092),x50092)
% 163.42/163.15 [5010]~P100(x50101)+E(f326(f326(f101(x50101),f241(x50101)),x50102),x50102)
% 163.42/163.15 [5011]~P72(x50111)+E(f326(f326(f79(x50111),f2(x50111)),x50112),x50112)
% 163.42/163.15 [5012]~P113(x50121)+E(f326(f326(f79(x50121),f2(x50121)),x50122),x50122)
% 163.42/163.15 [5013]~P83(x50131)+E(f326(f326(f79(x50131),f2(x50131)),x50132),x50132)
% 163.42/163.15 [5031]~P100(x50311)+E(f326(f326(f110(x50311),f241(x50311)),x50312),f241(x50311))
% 163.42/163.15 [5032]~P113(x50321)+E(f326(f326(f80(x50321),f2(x50321)),x50322),f2(x50321))
% 163.42/163.15 [5033]~P134(x50331)+E(f326(f326(f80(x50331),f2(x50331)),x50332),f2(x50331))
% 163.42/163.15 [5034]~P3(x50341)+E(f326(f326(f101(x50341),f189(x50341)),x50342),f189(x50341))
% 163.42/163.15 [5035]~P124(x50351)+E(f326(f326(f290(x50351),f2(x50351)),x50352),f2(x50351))
% 163.42/163.15 [5036]~P62(x50361)+E(f326(f326(f35(x50361),f2(x50361)),x50362),f2(x50361))
% 163.42/163.15 [5037]~P82(x50371)+E(f326(f326(f243(x50371),f77(x50371)),x50372),f77(x50371))
% 163.42/163.15 [5045]E(x50451,f113(x50452))+E(f144(x50452,f326(f168(x50452),x50451)),f326(f141(x50452),x50451))
% 163.42/163.15 [5046]E(x50461,f113(x50462))+E(f326(f141(x50462),f326(f168(x50462),x50461)),f144(x50462,x50461))
% 163.42/163.15 [5047]E(x50471,f2(a920))+~E(f326(f326(f79(a920),x50472),x50471),x50472)
% 163.42/163.15 [5054]~P94(x50541)+E(f326(f102(x50541),f326(f103(a1),x50542)),f326(f103(x50541),x50542))
% 163.42/163.15 [5055]~P143(x50551)+E(f326(f102(x50551),f326(f100(a1),x50552)),f326(f100(x50551),x50552))
% 163.42/163.15 [5062]E(x50621,f77(a920))+~E(f326(f326(f80(a920),x50622),x50621),f77(a920))
% 163.42/163.15 [5063]E(x50631,f77(a920))+~E(f326(f326(f80(a920),x50631),x50632),f77(a920))
% 163.42/163.15 [5064]E(x50641,f2(a920))+~E(f326(f326(f79(a920),x50642),x50641),f2(a920))
% 163.42/163.15 [5065]E(x50651,f2(a920))+~E(f326(f326(f79(a920),x50651),x50652),f2(a920))
% 163.42/163.15 [5082]~P120(x50821)+E(f326(f75(x50821),f326(f100(x50821),x50822)),f326(f100(x50821),x50822))
% 163.42/163.15 [5083]~P87(x50831)+E(f326(f75(x50831),f326(f75(x50831),x50832)),f326(f75(x50831),x50832))
% 163.42/163.15 [5084]~P87(x50841)+E(f326(f75(x50841),f326(f78(x50841),x50842)),f326(f75(x50841),x50842))
% 163.42/163.15 [5085]~P72(x50851)+E(f326(f165(x50851),f326(f168(x50851),x50852)),f326(f165(x50851),x50852))
% 163.42/163.15 [5090]~E(x50901,f326(a112,f2(a920)))+E(f326(f326(f243(a920),x50901),x50902),f326(a112,f2(a920)))
% 163.42/163.15 [5099]~P76(x50991)+E(f326(f326(f3(x50991),f2(x50991)),x50992),f326(f78(x50991),x50992))
% 163.42/163.15 [5100]~E(x51002,f2(a920))+E(f139(a920,f326(f301(a920,x51001),x51002)),f113(a920))
% 163.42/163.15 [5109]~P94(x51091)+E(f326(f326(f79(x51091),x51092),f326(f103(x51091),a82)),x51092)
% 163.42/163.15 [5110]E(x51101,f2(a1))+E(f46(f326(f75(a1),x51102),f326(f75(a1),x51101)),f52(x51102,x51101))
% 163.42/163.15 [5126]~E(x51261,x51262)+P106(f326(f326(f234(a920),x51261),x51262))
% 163.42/163.15 [5133]~E(x51331,f2(a99))+E(f326(f326(f79(a920),f326(a22,x51331)),x51332),x51332)
% 163.42/163.15 [5147]~P7(x51471)+P7(f326(f326(f243(a1),x51471),x51472))
% 163.42/163.15 [5148]~P96(x51481)+E(f326(f326(f110(x51481),x51482),f326(f78(x51481),x51482)),f241(x51481))
% 163.42/163.15 [5149]~P96(x51491)+E(f326(f326(f101(x51491),x51492),f326(f78(x51491),x51492)),f189(x51491))
% 163.42/163.15 [5150]~P76(x51501)+E(f326(f326(f79(x51501),x51502),f326(f78(x51501),x51502)),f2(x51501))
% 163.42/163.15 [5174]E(x51741,f2(a920))+~E(f326(f78(a1),f326(f100(a1),x51742)),f326(f100(a1),x51741))
% 163.42/163.15 [5175]E(x51751,f2(a920))+~E(f326(f78(a1),f326(f100(a1),x51751)),f326(f100(a1),x51752))
% 163.42/163.15 [5185]E(f195(x51851,x51852),f2(a1))+P106(f326(f326(f234(a1),x51852),x51851))
% 163.42/163.15 [5186]E(f178(x51861,x51862),f113(a1))+P106(f326(f326(f234(a1),x51861),x51862))
% 163.42/163.15 [5187]E(f240(x51871,x51872),f2(a99))+P106(f326(f326(f235(a99),x51871),x51872))
% 163.42/163.15 [5200]E(x52001,f326(a112,f2(a920)))+~E(f326(f326(f80(a920),x52002),x52001),f326(a112,f2(a920)))
% 163.42/163.15 [5201]E(x52011,f326(a112,f2(a920)))+~E(f326(f326(f80(a920),x52011),x52012),f326(a112,f2(a920)))
% 163.42/163.15 [5202]~P107(x52021)+P106(f326(f326(f234(x52021),x52022),x52022))
% 163.42/163.15 [5203]~P113(x52031)+P106(f326(f326(f286(x52031),x52032),x52032))
% 163.42/163.15 [5206]~P94(x52061)+E(f326(f326(f80(x52061),x52062),f326(f103(x52061),a97)),f326(f78(x52061),x52062))
% 163.42/163.15 [5226]~P94(x52261)+E(f326(f78(x52261),f326(f103(x52261),x52262)),f326(f103(x52261),f326(f78(a1),x52262)))
% 163.42/163.15 [5227]~P143(x52271)+E(f326(f78(x52271),f326(f102(x52271),x52272)),f326(f102(x52271),f326(f78(a1),x52272)))
% 163.42/163.15 [5257]~E(x52571,f326(a112,x52572))+P106(f326(f326(f235(a920),f2(a920)),x52571))
% 163.42/163.15 [5275]~P109(x52751)+E(f326(f78(f928(x52751,a916)),f326(f281(x52751),x52752)),f326(f282(x52751),x52752))
% 163.42/163.15 [5276]~P109(x52761)+E(f326(f78(f928(x52761,a916)),f326(f300(x52761),x52762)),f326(f303(x52761),x52762))
% 163.42/163.15 [5277]~P109(x52771)+E(f326(f78(f928(x52771,a916)),f326(f282(x52771),x52772)),f326(f281(x52771),x52772))
% 163.42/163.15 [5278]~P109(x52781)+E(f326(f78(f928(x52781,a916)),f326(f303(x52781),x52782)),f326(f300(x52781),x52782))
% 163.42/163.15 [5287]~E(f326(f100(a1),x52872),x52871)+P106(f326(f326(f234(a1),f2(a1)),x52871))
% 163.42/163.15 [5294]~E(x52942,f2(a1))+E(f52(x52941,x52942),f326(f326(f251(a1,a1),f2(a1)),f326(f75(a1),x52941)))
% 163.42/163.15 [5296]~P1(x52961)+P106(f326(f326(f234(x52961),f189(x52961)),x52962))
% 163.42/163.15 [5330]E(x53301,x53302)+~E(f326(f326(f79(a1),x53301),x53301),f326(f326(f79(a1),x53302),x53302))
% 163.42/163.15 [5334]~P106(f326(x53341,x53342))+P106(f326(x53341,f326(a104,f332(x53341))))
% 163.42/163.15 [5360]~P120(x53601)+E(f326(f326(f80(x53601),f81(x53601,x53602)),f326(f75(x53601),x53602)),x53602)
% 163.42/163.15 [5367]~E(x53672,f2(a920))+E(f84(f927(a920,a920),f47(x53671,x53672)),f326(f326(f251(a920,a920),f2(a920)),x53671))
% 163.42/163.15 [5372]~E(x53721,x53722)+~P106(f326(f326(f235(a920),x53721),x53722))
% 163.42/163.15 [5373]~E(x53731,x53732)+~P106(f326(f326(f235(a1),x53731),x53732))
% 163.42/163.15 [5376]~P146(x53761)+E(f326(f326(f79(x53761),f77(x53761)),f326(f100(x53761),x53762)),f326(f100(x53761),f326(a112,x53762)))
% 163.42/163.15 [5380]~E(x53801,f2(a920))+~P106(f326(f326(f235(a920),x53802),x53801))
% 163.42/163.15 [5394]E(f152(x53941,x53942),x53942)+~E(f326(f190(f921(x53941)),f152(x53941,x53942)),f326(f190(f921(x53941)),x53942))
% 163.42/163.15 [5395]E(f326(f34(x53951),f326(f172(x53951),x53952)),f326(f190(f921(x53951)),x53952))+~P106(f326(f137(x53951),x53952))
% 163.42/163.15 [5410]~P106(f326(x54101,f336(x54101)))+P106(f326(x54101,f326(f100(a1),x54102)))
% 163.42/163.15 [5420]E(f240(x54201,x54202),x54202)+~P106(f326(f326(f235(a99),x54201),x54202))
% 163.42/163.15 [5422]E(f271(x54221,x54222),f77(a99))+~P106(f326(f326(f235(a99),x54222),x54221))
% 163.42/163.15 [5423]E(f178(x54231,x54232),f113(a1))+~P106(f326(f326(f235(a1),x54232),x54231))
% 163.42/163.15 [5424]E(f128(x54241,x54242),f115(a1))+~P106(f326(f326(f235(a1),x54241),x54242))
% 163.42/163.15 [5426]~P110(x54261)+E(f302(x54261,x54262,x54262),f326(f326(f308(x54261),x54262),f189(f928(x54261,a916))))
% 163.42/163.15 [5446]~E(f326(f326(f3(a920),x54461),x54462),f2(a920))+P106(f326(f326(f234(a920),x54461),x54462))
% 163.42/163.15 [5469]~E(x54692,f2(a920))+E(f54(x54691,x54692,f113(x54691)),f326(f326(f151(f921(x54691)),f113(x54691)),f113(f921(x54691))))
% 163.42/163.15 [5473]~P107(x54731)+~P106(f326(f326(f235(x54731),x54732),x54732))
% 163.42/163.15 [5475]~E(f44(a1,x54751,x54752),f2(a1))+E(f44(a1,x54751,f326(f78(a1),x54752)),f2(a1))
% 163.42/163.15 [5477]~E(f44(a1,x54771,x54772),f2(a1))+E(f44(a1,f326(f78(a1),x54771),x54772),f2(a1))
% 163.42/163.15 [5485]E(f326(f301(a920,x54851),f326(a112,x54852)),f189(f928(a920,a916)))+P106(f326(f326(f234(a920),x54851),x54852))
% 163.42/163.15 [5508]E(f139(a920,f326(f301(a920,x55081),x55082)),f113(a920))+P106(f326(f326(f235(a920),x55081),x55082))
% 163.42/163.15 [5513]~E(f326(f34(x55131),f326(f172(x55131),x55132)),f326(f190(f921(x55131)),x55132))+P106(f326(f137(x55131),x55132))
% 163.42/163.15 [5517]~P106(f326(f137(x55171),x55172))+P106(f326(f137(x55171),f326(f167(x55171),x55172)))
% 163.42/163.15 [5518]~P106(f326(f137(x55181),x55182))+P106(f326(f137(x55181),f326(f171(x55181),x55182)))
% 163.42/163.15 [5519]~P106(f326(f137(x55191),x55192))+P106(f326(f137(x55191),f326(f168(x55191),x55192)))
% 163.42/163.15 [5527]P106(f326(x55271,x55272))+~P106(f326(x55271,f326(a104,f333(x55271))))
% 163.42/163.15 [5528]P106(f326(f326(f234(a920),x55282),x55281))+P106(f326(f326(f234(a920),x55281),x55282))
% 163.42/163.15 [5529]P106(f326(f326(f234(a1),x55292),x55291))+P106(f326(f326(f234(a1),x55291),x55292))
% 163.42/163.15 [5533]~P87(x55331)+P106(f326(f326(f234(x55331),x55332),f326(f75(x55331),x55332)))
% 163.42/163.15 [5536]P106(f326(x55361,f337(x55361)))+~P106(f326(x55361,f326(f100(a1),x55362)))
% 163.42/163.15 [5560]E(f326(f326(f3(a920),x55601),x55602),f2(a920))+~P106(f326(f326(f234(a920),x55601),x55602))
% 163.42/163.15 [5561]E(f326(f326(f35(a920),x55611),x55612),f2(a920))+~P106(f326(f326(f235(a920),x55611),x55612))
% 163.42/163.15 [5580]E(f44(a920,x55801,x55802),x55801)+~P106(f326(f326(f235(a920),x55801),x55802))
% 163.42/163.15 [5588]E(f44(a1,x55881,f326(f78(a1),x55882)),f291(x55881,x55882))+P106(f326(f326(f234(a1),f2(a1)),x55882))
% 163.42/163.15 [5601]E(f326(f326(f3(a1),x56011),x56012),f195(x56011,x56012))+~P106(f326(f326(f234(a1),x56012),x56011))
% 163.42/163.15 [5621]P106(f326(f326(f234(a1),f2(a1)),f336(x56211)))+P106(f326(x56211,f326(f100(a1),x56212)))
% 163.42/163.15 [5634]~P127(x56341)+P106(f326(f326(f234(x56341),f2(x56341)),f326(f100(x56341),x56342)))
% 163.42/163.15 [5635]~P87(x56351)+P106(f326(f326(f234(x56351),f2(x56351)),f326(f75(x56351),x56352)))
% 163.42/163.15 [5662]E(f326(f326(f79(a920),x56621),f673(x56622,x56621)),x56622)+~P106(f326(f326(f234(a920),x56621),x56622))
% 163.42/163.15 [5677]E(f302(a1,x56771,x56772),f189(f928(a1,a916)))+~P106(f326(f326(f235(a1),x56772),x56771))
% 163.42/163.15 [5679]~P120(x56791)+E(f326(f326(f80(x56791),f326(f75(x56791),x56792)),f326(f75(x56791),x56792)),f326(f326(f80(x56791),x56792),x56792))
% 163.42/163.15 [5685]E(f139(a920,f326(f301(a920,x56851),f326(a112,x56852))),f113(a920))+P106(f326(f326(f234(a920),x56851),x56852))
% 163.42/163.15 [5689]E(f326(f326(f35(a1),x56891),x56892),f292(x56891,x56892))+~P106(f326(f326(f234(a1),f2(a1)),x56892))
% 163.42/163.15 [5709]P106(f326(f137(x57091),x57092))+~P106(f326(f137(x57091),f326(f167(x57091),x57092)))
% 163.42/163.15 [5710]P106(f326(f137(x57101),x57102))+~P106(f326(f137(x57101),f326(f168(x57101),x57102)))
% 163.42/163.15 [5737]P106(f326(f60(a920),x57371))+P106(f326(f326(f328(a920),f409(x57371,x57372)),x57371))
% 163.42/163.15 [5738]P106(f326(f60(a920),x57381))+P106(f326(f326(f328(a920),f412(x57381,x57382)),x57381))
% 163.42/163.15 [5741]P106(f326(f326(f235(a920),x57412),f326(a112,x57411)))+P106(f326(f326(f235(a920),x57411),x57412))
% 163.42/163.15 [5742]E(f44(a1,x57421,x57422),f291(x57421,x57422))+~P106(f326(f326(f234(a1),f2(a1)),x57422))
% 163.42/163.15 [5746]E(f139(a920,f326(f301(a920,x57461),x57462)),f113(a920))+~P106(f326(f326(f234(a920),x57462),x57461))
% 163.42/163.15 [5747]~P80(x57471)+E(f326(f309(x57471,x57471,f78(x57471)),f326(f281(x57471),x57472)),f326(f303(x57471),f326(f78(x57471),x57472)))
% 163.42/163.15 [5748]~P80(x57481)+E(f326(f309(x57481,x57481,f78(x57481)),f326(f300(x57481),x57482)),f326(f282(x57481),f326(f78(x57481),x57482)))
% 163.42/163.15 [5749]~P80(x57491)+E(f326(f309(x57491,x57491,f78(x57491)),f326(f282(x57491),x57492)),f326(f300(x57491),f326(f78(x57491),x57492)))
% 163.42/163.15 [5750]~P80(x57501)+E(f326(f309(x57501,x57501,f78(x57501)),f326(f303(x57501),x57502)),f326(f281(x57501),f326(f78(x57501),x57502)))
% 163.42/163.15 [5761]E(x57611,f189(f928(x57612,a916)))+P106(f326(f326(f328(x57612),f410(x57611,x57612)),x57611))
% 163.42/163.15 [5762]E(x57621,f189(f928(x57622,a916)))+P106(f326(f326(f328(x57622),f414(x57621,x57622)),x57621))
% 163.42/163.15 [5773]~P106(f326(f326(f235(a920),x57731),x57732))+P106(f326(f326(f234(a920),x57731),x57732))
% 163.42/163.15 [5774]~P106(f326(f326(f235(a1),x57741),x57742))+P106(f326(f326(f234(a1),x57741),x57742))
% 163.42/163.15 [5790]E(f46(x57901,x57902),f326(f326(f251(a1,a1),f2(a1)),x57901))+~P106(f326(f326(f235(a1),x57901),x57902))
% 163.42/163.15 [5792]E(f216(f326(f78(a1),x57921),f326(f78(a1),x57922)),f216(x57921,x57922))+~P106(f326(f326(f235(a1),x57922),f2(a1)))
% 163.42/163.15 [5803]E(x58031,x58032)+~E(f326(a5,f326(a112,f326(a22,x58031))),f326(a5,f326(a112,f326(a22,x58032))))
% 163.42/163.15 [5808]E(f46(x58081,x58082),f326(f326(f251(a1,a1),f2(a1)),x58081))+~P106(f326(f326(f234(a1),x58082),f2(a1)))
% 163.42/163.15 [5837]E(f44(a920,f326(f103(a920),x58371),f326(f103(a920),x58372)),f2(a920))+~P106(f326(a194,f326(f103(a1),x58371)))
% 163.42/163.15 [5851]P106(f326(f326(f234(a1),f2(a1)),f337(x58511)))+~P106(f326(x58511,f326(f100(a1),x58512)))
% 163.42/163.15 [5884]P42(f302(a1,x58841,x58842))+~P106(f326(f326(f234(a1),f2(a1)),x58841))
% 163.42/163.15 [5889]~P106(f326(f60(x58891),x58892))+P106(f326(f60(f928(x58891,a916)),f326(f307(x58891),x58892)))
% 163.42/163.15 [5902]E(f326(f326(f79(a1),x59021),f326(f100(a1),f350(x59022,x59021))),x59022)+~P106(f326(f326(f234(a1),x59021),x59022))
% 163.42/163.15 [5910]P106(f326(f326(f234(a920),x59101),x59102))+P106(f326(f326(f234(a920),f326(a112,x59102)),x59101))
% 163.42/163.15 [5954]E(f326(f326(f35(a920),f326(f103(a920),x59541)),f326(f103(a920),x59542)),f2(a920))+~P106(f326(a194,f326(f103(a1),x59541)))
% 163.42/163.15 [5955]E(f326(f326(f80(a920),f326(f103(a920),x59551)),f326(f103(a920),x59552)),f2(a920))+~P106(f326(f326(f235(a1),x59551),a82))
% 163.42/163.15 [5957]P106(f326(f326(f234(a920),x59571),f326(a112,x59572)))+~P106(f326(f326(f234(a920),x59571),x59572))
% 163.42/163.15 [5959]P106(f326(f326(f235(a920),x59591),f326(a112,x59592)))+~P106(f326(f326(f234(a920),x59591),x59592))
% 163.42/163.15 [5961]P106(f326(f326(f235(a920),x59611),f326(a112,x59612)))+~P106(f326(f326(f235(a920),x59611),x59612))
% 163.42/163.15 [5964]~E(x59641,x59642)+P106(f326(f326(f235(a1),x59641),f326(f326(f79(a1),x59642),f77(a1))))
% 163.42/163.15 [5967]E(f44(a1,x59671,x59672),f2(a1))+E(f326(f326(f3(a1),x59672),f44(a1,x59671,x59672)),f44(a1,f326(f78(a1),x59671),x59672))
% 163.42/163.15 [5976]E(x59761,f113(x59762))+P106(f326(f326(f328(x59762),f144(x59762,x59761)),f326(f172(x59762),x59761)))
% 163.42/163.15 [5988]E(f84(f927(a920,a920),f47(x59881,x59882)),f326(f326(f251(a920,a920),f2(a920)),x59881))+~P106(f326(f326(f235(a920),x59881),x59882))
% 163.42/163.15 [6023]E(f326(f326(f3(a920),f326(f103(a920),x60231)),f326(f103(a920),x60232)),f326(f103(a920),x60231))+~P106(f326(f326(f235(a1),x60232),a82))
% 163.42/163.15 [6024]E(f326(f326(f79(a920),f326(f103(a920),x60241)),f326(f103(a920),x60242)),f326(f103(a920),x60242))+~P106(f326(f326(f235(a1),x60241),a82))
% 163.42/163.15 [6031]E(f326(a112,f326(f326(f79(a920),x60311),f861(x60312,x60311))),x60312)+~P106(f326(f326(f235(a920),x60311),x60312))
% 163.42/163.15 [6055]P106(f326(x60551,x60552))+~P106(f326(x60551,f326(a88,f582(x60552,x60551))))
% 163.42/163.15 [6056]P106(f326(x60561,x60562))+~P106(f326(x60561,f326(a5,f817(x60562,x60561))))
% 163.42/163.15 [6065]~P106(f326(f326(f235(a920),x60651),f326(a112,x60652)))+P106(f326(f326(f234(a920),x60651),x60652))
% 163.42/163.15 [6115]E(f326(f326(f308(a920),x61151),f326(f301(a920,x61152),x61151)),f326(f301(a920,x61152),f326(a112,x61151)))+~P106(f326(f326(f234(a920),x61152),x61151))
% 163.42/163.15 [6117]E(x61171,f113(x61172))+E(f326(f326(f134(x61172),f114(x61172,x61171)),f326(f326(f151(x61172),f144(x61172,x61171)),f113(x61172))),x61171)
% 163.42/163.15 [6134]P106(f326(f60(x61341),x61342))+~P106(f326(f326(f235(a920),f2(a920)),f326(f34(x61341),x61342)))
% 163.42/163.15 [6138]~E(x61381,f189(f928(x61382,a916)))+~P106(f326(f326(f235(a920),f2(a920)),f326(f34(x61382),x61381)))
% 163.42/163.15 [6150]~P106(f326(f326(f235(a920),x61501),x61502))+P106(f326(f326(f234(a920),f326(a112,x61501)),x61502))
% 163.42/163.15 [6154]~P109(x61541)+E(f150(x61541,x61541,f7(x61541),f152(x61541,x61542)),f139(x61541,f326(f172(x61541),x61542)))
% 163.42/163.15 [6157]E(x61571,f113(x61572))+P106(f326(f326(f328(x61572),f326(f141(x61572),x61571)),f326(f172(x61572),x61571)))
% 163.42/163.15 [6163]~P127(x61631)+P106(f326(f326(f235(x61631),x61632),f326(f326(f79(x61631),x61632),f77(x61631))))
% 163.42/163.15 [6165]~P87(x61651)+P106(f326(f326(f234(x61651),f326(f78(x61651),x61652)),f326(f75(x61651),x61652)))
% 163.42/163.15 [6179]~E(x61791,x61792)+E(f289(a920,f286(a920),x61791,x61792),f326(f326(f308(a920),x61791),f189(f928(a920,a916))))
% 163.42/163.15 [6197]P106(f326(f60(a920),x61971))+~P106(f326(f326(f234(a920),f412(x61971,x61972)),x61972))
% 163.42/163.15 [6198]P106(f326(f60(a920),x61981))+~P106(f326(f326(f235(a920),f409(x61981,x61982)),x61982))
% 163.42/163.15 [6201]~P106(f326(f60(f927(x62011,x62011)),x62012))+P106(f326(f60(x62011),f326(f280(x62011),x62012)))
% 163.42/163.15 [6257]E(f289(a920,f286(a920),x62571,x62572),f189(f928(a920,a916)))+P106(f326(f326(f286(a920),x62571),x62572))
% 163.42/163.15 [6263]~P106(f326(f326(f235(a920),x62632),f326(a112,x62631)))+~P106(f326(f326(f235(a920),x62631),x62632))
% 163.42/163.15 [6264]~P110(x62641)+E(f326(f326(f101(f928(x62641,a916)),f326(f300(x62641),x62642)),f326(f282(x62641),x62642)),f326(f326(f308(x62641),x62642),f189(f928(x62641,a916))))
% 163.42/163.15 [6276]P106(f326(f60(x62761),x62762))+~P106(f326(f60(f928(x62761,a916)),f326(f307(x62761),x62762)))
% 163.42/163.15 [6299]P106(f326(f326(f234(a920),f326(a112,x62991)),f326(a112,x62992)))+~P106(f326(f326(f234(a920),x62991),x62992))
% 163.42/163.15 [6300]P106(f326(f326(f234(a920),f326(a22,x63001)),f326(a22,x63002)))+~P106(f326(f326(f234(a99),x63001),x63002))
% 163.42/163.15 [6301]P106(f326(f326(f234(a99),f326(a5,x63011)),f326(a5,x63012)))+~P106(f326(f326(f234(a920),x63011),x63012))
% 163.42/163.15 [6303]P106(f326(f326(f235(a920),f326(a112,x63031)),f326(a112,x63032)))+~P106(f326(f326(f235(a920),x63031),x63032))
% 163.42/163.15 [6304]P106(f326(f326(f235(a920),f326(a22,x63041)),f326(a22,x63042)))+~P106(f326(f326(f235(a99),x63041),x63042))
% 163.42/163.15 [6305]P106(f326(f326(f235(a99),f326(a5,x63051)),f326(a5,x63052)))+~P106(f326(f326(f235(a920),x63051),x63052))
% 163.42/163.15 [6310]E(x63101,x63102)+~E(f326(f309(a920,a1,f100(a1)),x63101),f326(f309(a920,a1,f100(a1)),x63102))
% 163.42/163.15 [6326]P106(f326(f326(f234(a920),x63261),x63262))+~P106(f326(f326(f234(a920),f326(a112,x63261)),x63262))
% 163.42/163.15 [6329]P106(f326(f326(f235(a920),x63291),x63292))+~P106(f326(f326(f234(a920),f326(a112,x63291)),x63292))
% 163.42/163.15 [6330]P106(f326(f326(f235(a920),x63301),x63302))+~P106(f326(f326(f235(a920),f326(a112,x63301)),x63302))
% 163.42/163.15 [6348]E(f44(a1,x63481,x63482),f2(a1))+E(f326(f326(f3(a1),f44(a1,x63481,x63482)),x63482),f44(a1,x63481,f326(f78(a1),x63482)))
% 163.42/163.15 [6415]E(f326(f34(f928(x64151,a916)),f326(f307(x64151),x64152)),f326(f326(f243(a920),f326(a112,f326(a112,f2(a920)))),f326(f34(x64151),x64152)))+~P106(f326(f60(x64151),x64152))
% 163.42/163.15 [6418]E(x64181,f113(x64182))+E(f326(f326(f164(x64182),x64181),f326(f326(f3(a920),f326(f190(f921(x64182)),x64181)),f77(a920))),f144(x64182,x64181))
% 163.42/163.15 [6440]E(x64401,f113(x64402))+E(f326(f326(f134(x64402),f326(f171(x64402),x64401)),f326(f326(f151(x64402),f326(f141(x64402),x64401)),f113(x64402))),f326(f167(x64402),x64401))
% 163.42/163.15 [6471]~P106(f326(f60(x64711),f36(f928(x64711,a916),x64712)))+P106(f326(f60(f928(x64711,a916)),x64712))
% 163.42/163.15 [6493]P106(f326(f326(f234(a920),f326(f103(a920),x64931)),f326(f103(a920),x64932)))+~P106(f326(f326(f234(a1),x64931),a82))
% 163.42/163.15 [6516]~P106(f326(f326(f235(a1),x65161),x65162))+P106(f326(f326(f234(a1),x65161),f326(f326(f3(a1),x65162),f77(a1))))
% 163.42/163.15 [6517]~P106(f326(f326(f234(a1),x65171),x65172))+P106(f326(f326(f235(a1),x65171),f326(f326(f79(a1),x65172),f77(a1))))
% 163.42/163.15 [6518]~P106(f326(f326(f235(a1),x65181),x65182))+P106(f326(f326(f235(a1),x65181),f326(f326(f79(a1),x65182),f77(a1))))
% 163.42/163.15 [6520]~P106(f326(f326(f234(a1),x65201),x65202))+P106(f326(f326(f234(a920),f326(f103(a920),x65201)),f326(f103(a920),x65202)))
% 163.42/163.15 [6521]~P106(f326(f326(f234(a1),x65211),x65212))+P106(f326(f326(f234(a1),f326(f103(a1),x65211)),f326(f103(a1),x65212)))
% 163.42/163.15 [6523]~P106(f326(f326(f234(a920),x65231),x65232))+P106(f326(f326(f234(a1),f326(f100(a1),x65231)),f326(f100(a1),x65232)))
% 163.42/163.15 [6524]~P106(f326(f326(f235(a1),x65241),x65242))+P106(f326(f326(f235(a1),f326(f103(a1),x65241)),f326(f103(a1),x65242)))
% 163.42/163.15 [6526]~P106(f326(f326(f235(a920),x65261),x65262))+P106(f326(f326(f235(a1),f326(f100(a1),x65261)),f326(f100(a1),x65262)))
% 163.42/163.15 [6547]~P106(f326(f326(f234(a920),x65471),x65472))+~P106(f326(f326(f234(a920),f326(a112,x65472)),x65471))
% 163.42/163.15 [6590]~P106(f326(f326(f234(a920),f326(a112,x65901)),f326(a112,x65902)))+P106(f326(f326(f234(a920),x65901),x65902))
% 163.42/163.15 [6591]~P106(f326(f326(f234(a99),f326(a5,x65911)),f326(a5,x65912)))+P106(f326(f326(f234(a920),x65911),x65912))
% 163.42/163.15 [6592]~P106(f326(f326(f234(a920),f326(a22,x65921)),f326(a22,x65922)))+P106(f326(f326(f234(a99),x65921),x65922))
% 163.42/163.15 [6594]~P106(f326(f326(f235(a920),f326(a112,x65941)),f326(a112,x65942)))+P106(f326(f326(f235(a920),x65941),x65942))
% 163.42/163.15 [6595]~P106(f326(f326(f235(a99),f326(a5,x65951)),f326(a5,x65952)))+P106(f326(f326(f235(a920),x65951),x65952))
% 163.42/163.15 [6596]~P106(f326(f326(f235(a920),f326(a104,x65961)),f326(a104,x65962)))+P106(f326(f326(f235(a1),x65961),x65962))
% 163.42/163.15 [6597]~P106(f326(f326(f235(a920),f326(a22,x65971)),f326(a22,x65972)))+P106(f326(f326(f235(a99),x65971),x65972))
% 163.42/163.15 [6636]~P106(f326(f326(f235(a920),f326(a104,x66362)),f326(a104,x66361)))+P106(f326(f326(f235(a1),f2(a1)),x66361))
% 163.42/163.15 [6667]P106(f326(f326(f234(a1),f2(a1)),f44(a1,x66671,x66672)))+~P106(f326(f326(f235(a1),f2(a1)),x66672))
% 163.42/163.15 [6829]P39(x68291,x68292)+~E(f326(f326(f288(x68291,x68291,x68291),x68292),x68292),f189(f928(f927(x68291,x68291),a916)))
% 163.42/163.15 [6843]~P39(x68431,x68432)+P39(x68431,f326(f326(f288(x68431,x68431,x68431),x68432),x68432))
% 163.42/163.15 [6854]P106(f326(f326(f234(a1),x68541),x68542))+~P106(f326(f326(f235(a1),x68541),f326(f326(f79(a1),x68542),f77(a1))))
% 163.42/163.15 [6855]P106(f326(f326(f235(a1),x68551),x68552))+~P106(f326(f326(f234(a1),x68551),f326(f326(f3(a1),x68552),f77(a1))))
% 163.42/163.15 [6858]P106(f326(f326(f234(a920),x68581),x68582))+~P106(f326(f326(f234(a1),f326(f100(a1),x68581)),f326(f100(a1),x68582)))
% 163.42/163.15 [6859]P106(f326(f326(f234(a1),x68591),x68592))+~P106(f326(f326(f234(a1),f326(f103(a1),x68591)),f326(f103(a1),x68592)))
% 163.42/163.15 [6861]P106(f326(f326(f235(a920),x68611),x68612))+~P106(f326(f326(f235(a1),f326(f100(a1),x68611)),f326(f100(a1),x68612)))
% 163.42/163.15 [6862]P106(f326(f326(f235(a1),x68621),x68622))+~P106(f326(f326(f235(a920),f326(f103(a920),x68621)),f326(f103(a920),x68622)))
% 163.42/163.15 [6863]P106(f326(f326(f235(a1),x68631),x68632))+~P106(f326(f326(f235(a1),f326(f103(a1),x68631)),f326(f103(a1),x68632)))
% 163.42/163.15 [6935]~E(f289(a920,f286(a920),x69351,x69352),f189(f928(a920,a916)))+~P106(f326(f326(f286(a920),x69351),x69352))
% 163.42/163.15 [6959]~E(f699(x69592,x69591),f113(x69591))+E(f326(f142(f921(x69591),f921(x69591),f134(x69591),f113(x69591)),x69592),f113(x69591))
% 163.42/163.15 [6960]~E(f700(x69602,x69601),f113(x69601))+E(f326(f142(f921(x69601),f921(x69601),f134(x69601),f113(x69601)),x69602),f113(x69601))
% 163.42/163.15 [6964]~P6(x69641)+E(f326(f142(x69641,x69641,f110(x69641),f189(x69641)),x69642),f36(x69641,f326(f172(x69641),x69642)))
% 163.42/163.15 [6965]~P6(x69651)+E(f326(f142(x69651,x69651,f101(x69651),f241(x69651)),x69652),f37(x69651,f326(f172(x69651),x69652)))
% 163.42/163.15 [6979]E(x69791,f2(a99))+E(f326(f326(f79(a920),f326(a22,f326(f326(f3(a99),x69791),f77(a99)))),f326(a112,x69792)),f326(f326(f79(a920),f326(a22,x69791)),x69792))
% 163.42/163.16 [7028]P106(f326(f326(f235(a1),f326(f326(f3(a1),x70281),x70282)),f2(a1)))+~P106(f326(f326(f235(a1),x70281),x70282))
% 163.42/163.16 [7053]~P109(x70531)+E(f326(f326(f110(f928(x70531,a916)),f326(f326(f308(x70531),x70532),f189(f928(x70531,a916)))),f326(f303(x70531),x70532)),f326(f282(x70531),x70532))
% 163.42/163.16 [7129]~P61(x71291,x71292)+P39(x71291,f326(f261(f927(x71291,x71291)),f326(f256(x71291,x71291,a916),x71292)))
% 163.42/163.16 [7130]~P61(x71301,x71302)+P59(x71301,f326(f261(f927(x71301,x71301)),f326(f256(x71301,x71301,a916),x71302)))
% 163.42/163.16 [7131]~P51(x71311,x71312)+P40(x71311,f326(f261(f927(x71311,x71311)),f326(f256(x71311,x71311,a916),x71312)))
% 163.42/163.16 [7132]~P52(x71321,x71322)+P53(x71321,f326(f261(f927(x71321,x71321)),f326(f256(x71321,x71321,a916),x71322)))
% 163.42/163.16 [7133]E(x71331,f189(f928(x71332,a916)))+~P106(f326(f326(f234(f928(x71332,a916)),x71331),f189(f928(x71332,a916))))
% 163.42/163.16 [7214]~P106(f326(f326(f235(a920),f2(a920)),x72142))+P106(f326(f326(f234(a920),f44(a920,x72141,x72142)),x72142))
% 163.42/163.16 [7215]~P106(f326(f326(f234(a1),f2(a1)),x72151))+P106(f326(f326(f234(a1),f44(a1,x72151,x72152)),x72151))
% 163.42/163.16 [7216]~P106(f326(f326(f235(a920),f2(a920)),x72162))+P106(f326(f326(f235(a920),f44(a920,x72161,x72162)),x72162))
% 163.42/163.16 [7218]~P106(f326(f326(f235(a1),f2(a1)),x72182))+P106(f326(f326(f235(a1),f44(a1,x72181,x72182)),x72182))
% 163.42/163.16 [7296]~P110(x72961)+E(f326(f326(f3(f928(x72961,a916)),f326(f326(f308(x72961),x72962),f189(f928(x72961,a916)))),f326(f281(x72961),x72962)),f326(f326(f308(x72961),x72962),f189(f928(x72961,a916))))
% 163.42/163.16 [7371]~P45(x73711,x73712)+P54(x73711,f241(f928(x73711,a916)),f326(f261(f927(x73711,x73711)),f326(f256(x73711,x73711,a916),x73712)))
% 163.42/163.16 [7372]P106(f326(x73721,x73722))+P106(f326(f326(f328(f928(f927(a920,a920),a916)),f582(x73722,x73721)),a98))
% 163.42/163.16 [7417]E(f326(f326(f134(a920),f139(a920,f326(f301(a920,x74171),x74172))),f326(f326(f151(a920),x74172),f113(a920))),f139(a920,f326(f301(a920,x74171),f326(a112,x74172))))+~P106(f326(f326(f234(a920),x74171),x74172))
% 163.42/163.16 [7566]E(x75661,f2(a920))+~E(f326(f142(a920,a920,f79(a920),x75661),x75662),f2(a920))
% 163.42/163.16 [7591]~P106(f326(f326(f235(a1),f326(f326(f3(a1),x75911),x75912)),f2(a1)))+P106(f326(f326(f235(a1),x75911),x75912))
% 163.42/163.16 [7619]P39(x76191,x76192)+~P39(x76191,f326(f326(f288(x76191,x76191,x76191),x76192),x76192))
% 163.42/163.16 [7645]~P106(f326(f326(f234(a920),f326(a112,x76451)),x76452))+P106(f185(a916,a238,f326(f234(a920),x76451),x76452))
% 163.42/163.16 [7798]P26(a920,a920,f326(f326(f9(a920,a920,a920),f3(a920)),x77981),x77982)+P106(f326(f326(f328(a920),f583(x77981,x77982)),x77982))
% 163.42/163.16 [7856]E(f326(f326(f326(f64(a920,x78561,f79(a920)),f326(f18(a920,x78561),f77(a920))),f2(a920)),x78562),f326(f34(x78561),x78562))+~P106(f326(f60(x78561),x78562))
% 163.42/163.16 [7898]P26(a920,a920,f326(f326(f9(a920,a920,a920),f3(a920)),x78981),x78982)+~P106(f326(f326(f234(a920),x78981),f583(x78981,x78982)))
% 163.42/163.16 [7953]P39(x79531,x79532)+P106(f326(f326(f234(f928(x79531,a916)),f581(x79532,x79531)),f326(f284(x79531,x79531,x79532),f581(x79532,x79531))))
% 163.42/163.16 [7958]P61(x79581,x79582)+~P39(x79581,f326(f261(f927(x79581,x79581)),f326(f256(x79581,x79581,a916),x79582)))
% 163.42/163.16 [7959]P51(x79591,x79592)+~P40(x79591,f326(f261(f927(x79591,x79591)),f326(f256(x79591,x79591,a916),x79592)))
% 163.42/163.16 [7960]P52(x79601,x79602)+~P53(x79601,f326(f261(f927(x79601,x79601)),f326(f256(x79601,x79601,a916),x79602)))
% 163.42/163.16 [8026]P106(f326(f326(f234(a920),f326(a112,x80261)),x80262))+~P106(f185(a916,a238,f326(f234(a920),x80261),x80262))
% 163.42/163.16 [8083]P106(f326(f326(f328(f927(a920,a920)),f326(f326(f251(a920,a920),x80831),x80832)),f306(a920,a316)))+~P106(f326(f326(f234(a920),x80831),x80832))
% 163.42/163.16 [8180]P45(x81801,x81802)+~P54(x81801,f241(f928(x81801,a916)),f326(f261(f927(x81801,x81801)),f326(f256(x81801,x81801,a916),x81802)))
% 163.42/163.16 [8235]~P106(f326(f137(x82351),x82352))+P106(f326(f137(f928(x82351,a916)),f326(f326(f154(f921(x82351),f928(x82351,a916)),f172(x82351)),f53(x82351,x82352))))
% 163.42/163.16 [8435]~P39(x84351,f326(f285(x84351,x84351),x84352))+P39(x84351,f326(f285(x84351,x84351),f326(f326(f288(x84351,x84351,x84351),x84352),f306(x84351,x84352))))
% 163.42/163.16 [8533]P27(x85331,a920,f822(x85332,x85331),x85332,f326(f301(a920,f2(a920)),f326(f34(x85331),x85332)))+~P106(f326(f60(x85331),x85332))
% 163.42/163.16 [8534]P27(a920,x85341,f823(x85342,x85341),f326(f301(a920,f2(a920)),f326(f34(x85341),x85342)),x85342)+~P106(f326(f60(x85341),x85342))
% 163.42/163.16 [8551]P27(a920,x85511,f824(x85512,x85511),f302(a920,f77(a920),f326(f34(x85511),x85512)),x85512)+~P106(f326(f60(x85511),x85512))
% 163.42/163.16 [8560]P106(f326(f60(f927(x85601,x85601)),f326(f326(f288(x85601,x85601,x85601),x85602),f306(x85601,x85602))))+~P106(f326(f60(f927(x85601,x85601)),x85602))
% 163.42/163.16 [8587]E(x85871,f2(a1))+P106(f326(f48(x85872,x85871),f326(f326(f251(a1,a1),f326(f326(f35(a1),x85872),x85871)),f44(a1,x85872,x85871))))
% 163.42/163.16 [8600]~P106(f326(f326(f328(f927(a920,a920)),f326(f326(f251(a920,a920),x86001),x86002)),f306(a920,a316)))+P106(f326(f326(f234(a920),x86001),x86002))
% 163.42/163.16 [8616]~P83(x86161)+E(f326(f142(x86161,x86161,f326(f9(x86161,x86161,x86161),f79(x86161)),f2(x86161)),f326(f168(x86161),x86162)),f326(f142(x86161,x86161,f79(x86161),f2(x86161)),x86162))
% 163.42/163.16 [8787]~P109(x87871)+E(f326(f142(f921(x87871),x87871,f326(f9(x87871,f921(x87871),f921(x87871)),f148(x87871,x87871,f7(x87871))),f113(x87871)),x87872),f150(x87871,x87871,f7(x87871),x87872))
% 163.42/163.16 [8901]~P59(x89011,f326(f261(f927(x89011,x89011)),f326(f256(x89011,x89011,a916),x89012)))+P59(x89011,f326(f261(f927(x89011,x89011)),f326(f256(x89011,x89011,a916),f242(x89011,x89011,x89012))))
% 163.42/163.16 [8915]P106(f326(f326(f328(f927(a920,a920)),f326(f326(f251(a920,a920),x89151),x89152)),f326(f326(f288(a920,a920,a920),a316),f306(a920,a316))))+~P106(f326(f326(f235(a920),x89151),x89152))
% 163.42/163.16 [8961]~P106(f326(f60(f927(x89611,x89611)),f326(f326(f288(x89611,x89611,x89611),x89612),f306(x89611,x89612))))+P106(f326(f60(f927(x89611,x89611)),x89612))
% 163.42/163.16 [9019]~P59(x90191,f326(f261(f927(x90191,x90191)),f326(f256(x90191,x90191,a916),f242(x90191,x90191,x90192))))+P59(x90191,f326(f261(f927(x90191,x90191)),f326(f256(x90191,x90191,a916),x90192)))
% 163.42/163.16 [9216]P59(x92161,x92162)+P106(f326(f326(f328(f927(x92161,x92161)),f326(f326(f251(x92161,x92161),f610(x92162,x92161)),f610(x92162,x92161))),f326(f326(f288(x92161,x92161,x92161),x92162),f306(x92161,x92162))))
% 163.42/163.16 [9217]P59(x92171,x92172)+P106(f326(f326(f328(f927(x92171,x92171)),f326(f326(f251(x92171,x92171),f621(x92172,x92171)),f621(x92172,x92171))),f326(f326(f288(x92171,x92171,x92171),x92172),f306(x92171,x92172))))
% 163.42/163.16 [9334]~P106(f326(f326(f328(f927(a920,a920)),f326(f326(f251(a920,a920),x93341),x93342)),f326(f326(f288(a920,a920,a920),a316),f306(a920,a316))))+P106(f326(f326(f235(a920),x93341),x93342))
% 163.42/163.16 [5271]~P94(x52711)+E(f326(f326(f79(x52711),f326(f103(x52711),a82)),x52712),x52712)
% 163.42/163.16 [5301]~P96(x53011)+E(f326(f326(f110(x53011),f326(f78(x53011),x53012)),x53012),f241(x53011))
% 163.42/163.16 [5302]~P96(x53021)+E(f326(f326(f101(x53021),f326(f78(x53021),x53022)),x53022),f189(x53021))
% 163.42/163.16 [5303]~P69(x53031)+E(f326(f326(f79(x53031),f326(f78(x53031),x53032)),x53032),f2(x53031))
% 163.42/163.16 [5304]~P76(x53041)+E(f326(f326(f79(x53041),f326(f78(x53041),x53042)),x53042),f2(x53041))
% 163.42/163.16 [5338]~P94(x53381)+E(f326(f326(f80(x53381),f326(f103(x53381),a97)),x53382),f326(f78(x53381),x53382))
% 163.42/163.16 [5500]~P115(x55001)+E(f326(f326(f80(x55001),f326(f78(x55001),f77(x55001))),x55002),f326(f78(x55001),x55002))
% 163.42/163.16 [5545]E(f326(f75(a1),x55451),f77(a1))+~E(f326(f75(a1),f326(f326(f80(a1),x55451),x55452)),f77(a1))
% 163.42/163.16 [5637]~P94(x56371)+E(f326(f326(f79(x56371),f77(x56371)),f326(f103(x56371),x56372)),f326(f103(x56371),f326(f326(f3(a1),x56372),a97)))
% 163.42/163.16 [5690]~P2(x56901)+E(f12(x56901,f326(f326(f308(x56901),x56902),f189(f928(x56901,a916)))),x56902)
% 163.42/163.16 [5691]~P2(x56911)+E(f13(x56911,f326(f326(f308(x56911),x56912),f189(f928(x56911,a916)))),x56912)
% 163.42/163.16 [5692]~P109(x56921)+E(f16(x56921,f326(f326(f308(x56921),x56922),f189(f928(x56921,a916)))),x56922)
% 163.42/163.16 [5693]~P6(x56931)+E(f36(x56931,f326(f326(f308(x56931),x56932),f189(f928(x56931,a916)))),x56932)
% 163.42/163.16 [5694]~P6(x56941)+E(f37(x56941,f326(f326(f308(x56941),x56942),f189(f928(x56941,a916)))),x56942)
% 163.42/163.16 [5695]~P109(x56951)+E(f17(x56951,f326(f326(f308(x56951),x56952),f189(f928(x56951,a916)))),x56952)
% 163.42/163.16 [5717]E(f326(f326(f79(a920),x57171),f326(f326(f3(a920),x57172),x57171)),x57172)+P106(f326(f326(f235(a920),x57172),x57171))
% 163.42/163.16 [5756]E(x57561,f113(x57562))+P106(f326(f326(f235(a920),f2(a920)),f326(f190(f921(x57562)),x57561)))
% 163.42/163.16 [5881]~P109(x58811)+E(f14(x58811,f188(x58811),f326(f326(f308(x58811),x58812),f189(f928(x58811,a916)))),x58812)
% 163.42/163.16 [5882]~P109(x58821)+E(f15(x58821,f233(x58821),f326(f326(f308(x58821),x58822),f189(f928(x58821,a916)))),x58822)
% 163.42/163.16 [5943]E(f326(f326(f3(a920),x59431),f326(f326(f3(a920),x59431),x59432)),x59432)+~P106(f326(f326(f234(a920),x59432),x59431))
% 163.42/163.16 [5944]E(f326(f326(f79(a920),x59441),f326(f326(f3(a920),x59442),x59441)),x59442)+~P106(f326(f326(f234(a920),x59441),x59442))
% 163.42/163.16 [5966]E(f44(a920,f326(f326(f3(a920),x59661),x59662),x59662),f44(a920,x59661,x59662))+P106(f326(f326(f235(a920),x59661),x59662))
% 163.42/163.16 [5977]E(f326(f78(a1),f326(f326(f35(a1),x59771),f326(f78(a1),x59772))),f292(x59771,x59772))+P106(f326(f326(f234(a1),f2(a1)),x59772))
% 163.42/163.16 [5979]~E(x59792,f2(a920))+P106(f326(f326(f235(a920),f2(a920)),f326(f326(f243(a920),x59791),x59792)))
% 163.42/163.16 [6033]~P94(x60331)+E(f326(f326(f79(x60331),f326(f78(x60331),f77(x60331))),f326(f103(x60331),x60332)),f326(f103(x60331),f326(f326(f79(a1),x60332),a97)))
% 163.42/163.16 [6035]E(f326(f326(f243(a920),f326(f103(a920),x60351)),x60352),f326(f326(f243(a920),f2(a920)),x60352))+~P106(f326(a194,f326(f103(a1),x60351)))
% 163.42/163.16 [6142]E(f326(f141(a920),f139(a920,f326(f301(a920,x61421),x61422))),x61421)+~P106(f326(f326(f235(a920),x61421),x61422))
% 163.42/163.16 [6158]E(f326(f326(f80(a920),f326(f103(a920),x61581)),f326(f103(a920),x61582)),f326(f103(a920),f326(f326(f80(a1),x61581),x61582)))+P106(f326(f326(f235(a1),x61581),a82))
% 163.42/163.16 [6164]~P128(x61641)+P106(f326(f326(f234(x61641),f2(x61641)),f326(f326(f80(x61641),x61642),x61642)))
% 163.42/163.16 [6176]E(f326(f326(f3(a920),f326(a112,x61761)),x61762),f326(a112,f326(f326(f3(a920),x61761),x61762)))+~P106(f326(f326(f234(a920),x61762),x61761))
% 163.42/163.16 [6180]E(f44(a920,f326(f326(f3(a920),x61801),x61802),x61802),f44(a920,x61801,x61802))+~P106(f326(f326(f234(a920),x61802),x61801))
% 163.42/163.16 [6234]E(f326(f326(f243(a920),f326(a104,x62341)),x62342),f326(a104,f326(f326(f243(a1),x62341),x62342)))+~P106(f326(f326(f234(a1),f2(a1)),x62341))
% 163.42/163.16 [6252]P106(f326(f137(x62521),x62522))+P106(f326(f326(f235(a920),f668(x62522,x62521)),f326(f190(f921(x62521)),x62522)))
% 163.42/163.16 [6253]P106(f326(f137(x62531),x62532))+P106(f326(f326(f235(a920),f672(x62532,x62531)),f326(f190(f921(x62531)),x62532)))
% 163.42/163.16 [6270]~E(x62701,f113(x62702))+~P106(f326(f326(f235(a920),f2(a920)),f326(f190(f921(x62702)),x62701)))
% 163.42/163.16 [6281]E(f144(a920,f139(a920,f326(f301(a920,x62811),x62812))),f326(f326(f3(a920),x62812),f77(a920)))+~P106(f326(f326(f235(a920),x62811),x62812))
% 163.42/163.16 [6284]E(f326(f326(f79(a1),x62841),f326(f100(a1),f326(a112,f352(x62842,x62841)))),x62842)+~P106(f326(f326(f235(a1),x62841),x62842))
% 163.42/163.16 [6291]E(x62911,f2(a920))+E(f326(f326(f80(a920),x62912),f326(f326(f243(a920),x62912),f326(f326(f3(a920),x62911),f77(a920)))),f326(f326(f243(a920),x62912),x62911))
% 163.42/163.16 [6320]E(f326(f326(f80(a920),f326(a104,x63201)),f326(a104,x63202)),f326(a104,f326(f326(f80(a1),x63201),x63202)))+~P106(f326(f326(f234(a1),f2(a1)),x63201))
% 163.42/163.16 [6321]E(f326(f326(f35(a920),f326(a104,x63211)),f326(a104,x63212)),f326(a104,f326(f326(f35(a1),x63211),x63212)))+~P106(f326(f326(f234(a1),f2(a1)),x63211))
% 163.42/163.16 [6336]~P113(x63361)+E(f326(f326(f79(x63361),x63362),x63362),f326(f326(f80(x63361),f326(f326(f79(x63361),f77(x63361)),f77(x63361))),x63362))
% 163.42/163.16 [6357]E(f326(f326(f3(a1),f326(f100(a1),x63571)),f326(f100(a1),x63572)),f326(f100(a1),f326(f326(f3(a920),x63571),x63572)))+~P106(f326(f326(f234(a920),x63572),x63571))
% 163.42/163.16 [6359]E(f326(f326(f251(a1,a1),f326(f103(a1),a97)),f326(f326(f79(a1),x63591),x63592)),f49(x63591,x63592))+~P106(f326(f326(f234(a1),x63592),f2(a1)))
% 163.42/163.16 [6393]E(f179(x63931,x63932),f113(f921(x63931)))+P106(f326(f326(f328(f921(x63931)),f667(x63932,x63931)),f326(f172(f921(x63931)),x63932)))
% 163.42/163.16 [6402]E(f116(a1,f326(f129(a1),x64021),f128(x64022,f326(f326(f79(a1),x64021),f77(a1)))),f128(x64022,x64021))+P106(f326(f326(f235(a1),x64022),x64021))
% 163.42/163.16 [6477]E(f326(f326(f151(a1),x64771),f178(f326(f326(f79(a1),x64771),f77(a1)),x64772)),f178(x64771,x64772))+~P106(f326(f326(f234(a1),x64771),x64772))
% 163.42/163.16 [6519]~P106(f326(f326(f235(a920),x65192),x65191))+P106(f326(f326(f235(a920),f2(a920)),f326(f326(f3(a920),x65191),x65192)))
% 163.42/163.16 [6552]~P106(f326(f326(f235(a920),x65521),f326(a104,x65522)))+P106(f326(f326(f235(a1),f326(f100(a1),x65521)),x65522))
% 163.42/163.16 [6581]~P109(x65811)+E(f326(f326(f110(f928(x65811,a916)),f326(f281(x65811),x65812)),f326(f326(f308(x65811),x65812),f189(f928(x65811,a916)))),f326(f300(x65811),x65812))
% 163.42/163.16 [6582]~P106(f326(f326(f234(a1),f2(a1)),x65821))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f243(a1),x65821),x65822)))
% 163.42/163.16 [6585]~P106(f326(f326(f235(a920),f2(a920)),x65851))+P106(f326(f326(f235(a920),f2(a920)),f326(f326(f243(a920),x65851),x65852)))
% 163.42/163.16 [6612]~E(f326(x66121,f2(a920)),f2(a920))+E(f326(f326(f8(a920,a920),x66121),f302(a920,f326(a112,f2(a920)),x66122)),f326(f326(f8(a920,a920),x66121),f302(a920,f2(a920),x66122)))
% 163.42/163.16 [6675]~P94(x66751)+E(f326(f326(f80(x66751),f326(f326(f79(x66751),f77(x66751)),f77(x66751))),f326(f103(x66751),x66752)),f326(f103(x66751),f326(f326(f79(a1),x66752),x66752)))
% 163.42/163.16 [6692]E(f326(f326(f308(a1),x66921),f302(a1,f326(f326(f79(a1),x66921),f77(a1)),x66922)),f302(a1,x66921,x66922))+P106(f326(f326(f235(a1),x66922),x66921))
% 163.42/163.16 [6693]P106(f326(f326(f235(a920),x66931),f326(a104,x66932)))+~P106(f326(f326(f235(a1),f326(f100(a1),x66931)),x66932))
% 163.42/163.16 [6797]E(f326(a104,f326(f326(f35(a1),f326(f103(a1),x67971)),f326(f103(a1),x67972))),f326(f326(f35(a920),f326(f103(a920),x67971)),f326(f103(a920),x67972)))+P106(f326(a194,f326(f103(a1),x67971)))
% 163.42/163.16 [6856]P106(f326(f326(f235(a920),x68561),x68562))+~P106(f326(f326(f235(a920),f2(a920)),f326(f326(f3(a920),x68562),x68561)))
% 163.42/163.16 [6899]P106(f326(f326(f235(a920),f2(a920)),x68991))+~P106(f326(f326(f235(a920),f2(a920)),f326(f326(f80(a920),x68992),x68991)))
% 163.42/163.16 [6900]P106(f326(f326(f235(a920),f2(a920)),x69001))+~P106(f326(f326(f235(a920),f2(a920)),f326(f326(f80(a920),x69001),x69002)))
% 163.42/163.16 [6918]~P106(f326(f326(f234(a1),x69181),f2(a1)))+E(f326(f326(f80(a920),f326(a104,f326(f78(a1),x69181))),f326(a104,f326(f78(a1),x69182))),f326(a104,f326(f326(f80(a1),x69181),x69182)))
% 163.42/163.16 [6976]~E(x69762,f189(f928(x69761,a916)))+P106(f326(f326(f234(f928(x69761,a916)),x69762),f326(f78(f928(x69761,a916)),x69762)))
% 163.42/163.16 [7038]~P94(x70381)+E(f326(f326(f79(x70381),f326(f326(f79(x70381),f2(x70381)),f326(f103(x70381),x70382))),f326(f103(x70381),x70382)),f326(f103(x70381),f326(f326(f79(a1),x70382),x70382)))
% 163.42/163.16 [7094]~P106(f326(f326(f235(a1),x70941),x70942))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x70941),f77(a1))),x70942))
% 163.42/163.16 [7161]E(x71611,f2(a920))+~P106(f326(f326(f234(a1),f326(f100(a1),x71612)),f326(f78(a1),f326(f100(a1),x71611))))
% 163.42/163.16 [7162]E(x71621,f2(a920))+~P106(f326(f326(f234(a1),f326(f100(a1),x71621)),f326(f78(a1),f326(f100(a1),x71622))))
% 163.42/163.16 [7264]E(f326(f326(f251(a1,a1),f326(f103(a1),a97)),f326(f326(f79(a1),x72641),x72642)),f49(x72641,x72642))+~P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x72641),x72642)))
% 163.42/163.16 [7308]~P28(x73081,x73082)+P39(x73081,f326(f250(f928(f927(x73081,x73081),a916),f928(f927(x73081,x73081),a916)),x73082))
% 163.42/163.16 [7327]~P106(f326(f326(f234(a920),f326(a112,f2(a920))),x73271))+P106(f326(f326(f234(a920),f326(a112,f2(a920))),f326(f326(f243(a920),x73271),x73272)))
% 163.42/163.16 [7507]~P106(f326(f326(f234(a1),x75071),x75072))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x75071),x75071)),f326(f326(f79(a1),x75072),x75072)))
% 163.42/163.16 [7512]~P106(f326(f326(f235(a1),x75121),x75122))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x75121),x75121)),f326(f326(f79(a1),x75122),x75122)))
% 163.42/163.16 [7567]~P106(f326(f326(f235(a920),f2(a920)),x75671))+P106(f326(f326(f235(a920),f326(f326(f3(a920),x75671),f326(a112,x75672))),x75671))
% 163.42/163.16 [7601]P106(f326(f326(f234(a920),f326(a112,f2(a920))),x76011))+~P106(f326(f326(f234(a920),f326(a112,f2(a920))),f326(f326(f80(a920),x76012),x76011)))
% 163.42/163.16 [7602]P106(f326(f326(f234(a920),f326(a112,f2(a920))),x76021))+~P106(f326(f326(f234(a920),f326(a112,f2(a920))),f326(f326(f80(a920),x76021),x76022)))
% 163.42/163.16 [7606]P106(f326(f326(f234(a920),f326(f326(f164(a920),x76061),x76062)),f326(f165(a920),x76061)))+~P106(f326(f326(f235(a920),x76062),f326(f190(f921(a920)),x76061)))
% 163.42/163.16 [7644]P106(f326(f326(f235(a1),x76441),x76442))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),x76441),f77(a1))),x76442))
% 163.42/163.16 [7686]P106(f326(f60(x76861),f241(f928(x76861,a916))))+~P106(f326(f60(f928(x76862,x76861)),f241(f928(f928(x76862,x76861),a916))))
% 163.42/163.16 [7687]P106(f326(f60(x76871),f241(f928(x76871,a916))))+~P106(f326(f60(f926(x76872,x76871)),f241(f928(f926(x76872,x76871),a916))))
% 163.42/163.16 [7688]P106(f326(f60(x76881),f241(f928(x76881,a916))))+~P106(f326(f60(f926(x76881,x76882)),f241(f928(f926(x76881,x76882),a916))))
% 163.42/163.16 [7726]E(x77261,f189(f928(x77262,a916)))+~P106(f326(f326(f234(f928(x77262,a916)),x77261),f326(f78(f928(x77262,a916)),x77261)))
% 163.42/163.16 [7866]E(f326(f142(f921(x78661),f921(x78661),f134(x78661),f113(x78661)),x78662),f113(x78661))+P106(f326(f326(f328(f921(x78661)),f699(x78662,x78661)),f326(f172(f921(x78661)),x78662)))
% 163.42/163.16 [7867]E(f326(f142(f921(x78671),f921(x78671),f134(x78671),f113(x78671)),x78672),f113(x78671))+P106(f326(f326(f328(f921(x78671)),f700(x78672,x78671)),f326(f172(f921(x78671)),x78672)))
% 163.42/163.16 [8101]P106(f326(f326(f234(a1),x81011),x81012))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),x81011),x81011)),f326(f326(f79(a1),x81012),x81012)))
% 163.42/163.16 [8106]P106(f326(f326(f235(a1),x81061),x81062))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),x81061),x81061)),f326(f326(f79(a1),x81062),x81062)))
% 163.42/163.16 [8200]~P113(x82001)+E(f326(f326(f80(x82001),f326(f326(f79(x82001),f77(x82001)),f77(x82001))),f326(f326(f8(a920,x82001),f100(x82001)),f302(a920,f77(a920),x82002))),f326(f326(f80(x82001),f326(f100(x82001),x82002)),f326(f326(f79(x82001),f326(f100(x82001),x82002)),f77(x82001))))
% 163.42/163.16 [8249]P106(f326(f326(f328(a920),x82491),x82492))+~P106(f326(f326(f328(a1),f326(f100(a1),x82491)),f326(f309(a920,a1,f100(a1)),x82492)))
% 163.42/163.16 [8407]~P106(f326(f60(x84071),x84072))+E(f326(f309(a920,x84071,f557(x84072,x84071)),f326(f261(a920),f326(f326(f9(a920,a920,a916),f235(a920)),f558(x84072,x84071)))),x84072)
% 163.42/163.16 [8684]P55(x86841,x86842)+P106(f326(f326(f328(f927(x86841,x86841)),f326(f326(f251(x86841,x86841),f395(x86842,x86841)),f395(x86842,x86841))),x86842))
% 163.42/163.16 [8685]P40(x86851,x86852)+P106(f326(f326(f328(f927(x86851,x86851)),f326(f326(f251(x86851,x86851),f788(x86852,x86851)),f792(x86852,x86851))),x86852))
% 163.42/163.16 [8686]P40(x86861,x86862)+P106(f326(f326(f328(f927(x86861,x86861)),f326(f326(f251(x86861,x86861),f792(x86862,x86861)),f793(x86862,x86861))),x86862))
% 163.42/163.16 [8687]P41(x86871,x86872)+P106(f326(f326(f328(f927(x86871,x86871)),f326(f326(f251(x86871,x86871),f707(x86872,x86871)),f706(x86872,x86871))),x86872))
% 163.42/163.16 [8688]P41(x86881,x86882)+P106(f326(f326(f328(f927(x86881,x86881)),f326(f326(f251(x86881,x86881),f706(x86882,x86881)),f707(x86882,x86881))),x86882))
% 163.42/163.16 [8689]P53(x86891,x86892)+P106(f326(f326(f328(f927(x86891,x86891)),f326(f326(f251(x86891,x86891),f803(x86892,x86891)),f804(x86892,x86891))),x86892))
% 163.42/163.16 [8830]~P94(x88301)+E(f326(f326(f3(x88301),f77(x88301)),f326(f103(x88301),x88302)),f326(f103(x88301),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f78(a1),x88302))))
% 163.42/163.16 [8832]~P25(a915,a929,f326(f326(f308(f919(a915)),f326(f326(f326(f90(a915),x88321),a931),x88322)),f189(f928(f919(a915),a916))))+~P106(f326(f326(a932,a819),f865(x88321,x88322)))
% 163.42/163.16 [8833]~P25(a915,a929,f326(f326(f308(f919(a915)),f326(f326(f326(f90(a915),x88331),a931),x88332)),f189(f928(f919(a915),a916))))+~P106(f326(f326(a934,a819),f865(x88331,x88332)))
% 163.42/163.16 [8958]~P106(f326(f326(f235(f928(a920,a916)),x89581),x89582))+P106(f326(f326(f235(f928(a1,a916)),f326(f309(a920,a1,f100(a1)),x89581)),f326(f309(a920,a1,f100(a1)),x89582)))
% 163.42/163.16 [8992]~P106(f326(f326(f235(a1),x89921),x89922))+P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89921),x89921)),a97)),f326(f326(f79(a1),x89922),x89922)))
% 163.42/163.16 [8994]~P106(f326(f326(f235(a1),x89941),x89942))+P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89941),x89941)),a97)),f326(f326(f79(a1),x89942),x89942)))
% 163.42/163.16 [9067]~P106(f326(f326(f328(a920),x90671),f326(f172(a920),x90672)))+P106(f326(f326(f234(a920),x90671),f326(f142(a920,a920,f79(a920),f2(a920)),x90672)))
% 163.42/163.16 [9156]P48(x91561,x91562)+~P106(f326(f326(f328(f927(x91561,x91561)),f326(f326(f251(x91561,x91561),f386(x91562,x91561)),f386(x91562,x91561))),x91562))
% 163.42/163.16 [9157]P40(x91571,x91572)+~P106(f326(f326(f328(f927(x91571,x91571)),f326(f326(f251(x91571,x91571),f788(x91572,x91571)),f793(x91572,x91571))),x91572))
% 163.42/163.16 [9158]P53(x91581,x91582)+~P106(f326(f326(f328(f927(x91581,x91581)),f326(f326(f251(x91581,x91581),f804(x91582,x91581)),f803(x91582,x91581))),x91582))
% 163.42/163.16 [9297]~P106(f326(f326(f234(f928(a1,a916)),f326(f309(a920,a1,f100(a1)),x92971)),f326(f309(a920,a1,f100(a1)),x92972)))+P106(f326(f326(f234(f928(a920,a916)),x92971),x92972))
% 163.42/163.16 [9298]~P106(f326(f326(f235(f928(a1,a916)),f326(f309(a920,a1,f100(a1)),x92981)),f326(f309(a920,a1,f100(a1)),x92982)))+P106(f326(f326(f235(f928(a920,a916)),x92981),x92982))
% 163.42/163.16 [9382]P106(f326(f326(f235(a1),x93821),x93822))+~P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93821),x93821)),a97)),f326(f326(f79(a1),x93822),x93822)))
% 163.42/163.16 [9384]P106(f326(f326(f235(a1),x93841),x93842))+~P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93841),x93841)),a97)),f326(f326(f79(a1),x93842),x93842)))
% 163.42/163.16 [10282]~P104(x102821)+E(f116(f921(x102821),f326(f129(f921(x102821)),f113(x102821)),f326(f326(f326(f96(f922(f921(x102821))),f326(f326(f235(a1),f2(a1)),x102822)),f326(f118(f927(x102821,f921(x102821)),f921(x102821),f131(x102821,f921(x102821),f132(x102821,f326(f326(f3(a1),x102822),f77(a1))),f132(f921(x102821),f326(f326(f3(a1),x102822),f77(a1))))),f326(f256(x102821,f921(x102821),f922(f921(x102821))),f326(f326(f10(f928(f921(x102821),f921(x102821)),f928(f921(x102821),f922(f921(x102821))),x102821),f326(f10(f921(x102821),f922(f921(x102821)),f921(x102821)),f129(f921(x102821)))),f151(x102821))))),f115(f921(x102821)))),f132(f921(x102821),x102822))
% 163.42/163.16 [10304]~P106(f326(f60(x103041),x103042))+E(f326(f190(f921(x103041)),f89(f921(x103041),f326(f326(f20(f921(x103041),a916,a916),f326(f326(f10(a916,f928(a916,a916),f921(x103041)),a324),f326(f326(f9(f921(x103041),f928(x103041,a916),a916),f326(f326(f10(f928(x103041,a916),f928(f928(x103041,a916),a916),f921(x103041)),a323),f172(x103041))),x103042))),f137(x103041)))),f215(x103041,x103042))
% 163.42/163.16 [6280]E(f326(f326(f79(a920),f326(f326(f3(a920),x62801),x62802)),x62802),x62801)+~P106(f326(f326(f234(a920),x62802),x62801))
% 163.42/163.16 [6353]E(f326(f326(f35(a920),f326(f326(f80(a920),x63531),x63532)),x63532),x63531)+~P106(f326(f326(f235(a920),f2(a920)),x63532))
% 163.42/163.16 [6354]E(f326(f326(f35(a920),f326(f326(f80(a920),x63541),x63542)),x63541),x63542)+~P106(f326(f326(f235(a920),f2(a920)),x63541))
% 163.42/163.16 [6358]~P72(x63581)+E(f326(f326(f8(a920,x63581),f326(f164(x63581),x63582)),f326(f301(a920,f2(a920)),f326(f190(f921(x63581)),x63582))),f326(f165(x63581),x63582))
% 163.42/163.16 [6469]E(f44(a920,f326(a112,f326(f326(f80(a920),x64691),x64692)),x64691),f77(a920))+~P106(f326(f326(f235(a920),f77(a920)),x64691))
% 163.42/163.16 [6475]E(f326(a112,f326(f326(f79(a920),f326(f103(a920),x64751)),x64752)),f326(f326(f79(a920),f77(a920)),x64752))+~P106(f326(a194,f326(f103(a1),x64751)))
% 163.42/163.16 [6504]E(f326(a104,f326(f326(f243(a1),f326(f103(a1),x65041)),x65042)),f326(f326(f243(a920),f326(f103(a920),x65041)),x65042))+P106(f326(a194,f326(f103(a1),x65041)))
% 163.42/163.16 [6747]E(f326(f326(f3(a920),x67471),f326(f103(a920),f326(f326(f79(a1),x67472),a97))),f326(f326(f3(a920),f326(a112,x67471)),f326(f103(a920),x67472)))+~P106(f326(f326(f235(a1),a82),x67472))
% 163.42/163.16 [6828]E(x68281,f2(a920))+E(f326(a112,f326(f326(f79(a920),f326(f326(f3(a920),x68281),f77(a920))),x68282)),f326(f326(f79(a920),x68281),x68282))
% 163.42/163.16 [6869]E(x68691,f2(a1))+P106(f326(f326(f235(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x68691)),x68692)))
% 163.42/163.16 [6884]~E(x68842,f2(a920))+P106(f326(f326(f235(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x68841)),x68842)))
% 163.42/163.16 [6921]E(x69211,f2(a920))+E(f326(f326(f79(a920),x69212),f326(f326(f80(a920),f326(f326(f3(a920),x69211),f77(a920))),x69212)),f326(f326(f80(a920),x69211),x69212))
% 163.42/163.16 [6969]~P106(f326(f326(f234(a1),x69691),x69692))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x69691),a97)),x69692))
% 163.42/163.16 [7098]E(f326(f326(f151(a920),x70981),f139(a920,f326(f301(a920,f326(a112,x70981)),x70982))),f139(a920,f326(f301(a920,x70981),x70982)))+~P106(f326(f326(f235(a920),x70981),x70982))
% 163.42/163.16 [7299]E(x72991,x72992)+~E(f326(f326(f3(a1),f326(f326(f79(a1),x72991),x72991)),a97),f326(f326(f3(a1),f326(f326(f79(a1),x72992),x72992)),a97))
% 163.42/163.16 [7302]E(x73021,f113(x73022))+E(f265(x73022,f326(f326(f154(x73022,f927(a99,x73022)),f326(f251(a99,x73022),f77(a99))),x73021)),f274(x73022,x73021))
% 163.42/163.16 [7538]P106(f326(f326(f234(a1),x75381),x75382))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),x75381),a97)),x75382))
% 163.42/163.16 [8006]~P106(f326(f326(f235(a920),x80061),x80062))+P106(f326(f326(f328(f927(a920,a920)),f326(f326(f251(a920,a920),x80061),x80062)),a239))
% 163.42/163.16 [8226]~P106(f326(f326(f235(a99),f2(a99)),x82261))+P106(f326(f326(f235(a99),f326(f250(a99,f927(a99,a99)),f326(f266(x82261),x82262))),x82261))
% 163.42/163.16 [8488]~P40(x84881,x84882)+P40(x84881,f326(f326(f110(f928(f927(x84881,x84881),a916)),x84882),f306(x84881,f189(f928(f927(x84881,x84881),a916)))))
% 163.42/163.16 [8489]~P41(x84891,x84892)+P41(x84891,f326(f326(f110(f928(f927(x84891,x84891),a916)),x84892),f306(x84891,f189(f928(f927(x84891,x84891),a916)))))
% 163.42/163.16 [8537]~P87(x85371)+P106(f326(f326(f234(x85371),f326(f75(x85371),f326(f165(x85371),x85372))),f326(f165(x85371),f326(f326(f154(x85371,x85371),f75(x85371)),x85372))))
% 163.42/163.16 [8562]P106(f326(f326(f235(a920),x85621),x85622))+~P106(f326(f326(f328(f927(a920,a920)),f326(f326(f251(a920,a920),x85621),x85622)),a239))
% 163.42/163.16 [8708]E(f326(f326(f251(x87081,x87081),f619(x87082,x87081)),f619(x87082,x87081)),x87082)+~P106(f326(f326(f328(f927(x87081,x87081)),x87082),f306(x87081,f189(f928(f927(x87081,x87081),a916)))))
% 163.42/163.16 [8752]E(f326(f301(a920,x87521),f326(f326(f79(a920),x87521),f326(f34(a920),x87522))),x87522)+~P106(f326(f326(f234(f928(a920,a916)),x87522),f326(f301(a920,x87521),f326(f326(f79(a920),x87521),f326(f34(a920),x87522)))))
% 163.42/163.16 [8985]P41(x89851,x89852)+~P41(x89851,f326(f326(f110(f928(f927(x89851,x89851),a916)),x89852),f306(x89851,f189(f928(f927(x89851,x89851),a916)))))
% 163.42/163.16 [9111]E(f326(f326(f35(a1),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x91111),x91111)),a97))),f326(f103(a1),f326(f326(f79(a1),x91112),x91112))),f326(f326(f35(a1),f326(f103(a1),x91111)),f326(f103(a1),x91112)))+~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x91112)))
% 163.42/163.16 [9201]~P40(x92011,x92012)+P106(f326(f326(f234(f928(f927(x92011,x92011),a916)),f326(f326(f288(x92011,x92011,x92011),x92012),x92012)),x92012))
% 163.42/163.16 [9227]E(f177(f921(x92271),f326(f326(f10(a916,a916,f921(x92271)),a321),f326(f326(f9(f921(x92271),f921(x92271),a916),a323),f113(x92271))),x92272),f179(x92271,f179(x92271,x92272)))+~P14(a920,f326(f168(a920),f326(f326(f154(f921(x92271),a920),f190(f921(x92271))),x92272)))
% 163.42/163.16 [9230]E(f326(f326(f35(a1),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x92301),x92301)),a97))),f326(f103(a1),f326(f326(f79(a1),x92302),x92302))),f326(f326(f35(a1),f326(f326(f79(a1),f326(f103(a1),x92301)),f77(a1))),f326(f103(a1),x92302)))+P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x92302)))
% 163.42/163.16 [10076]P106(f326(a194,x100762))+E(f326(f326(f85(a1,a920),f326(f326(f3(a1),x100761),x100762)),f326(f326(f20(a1,a920,a920),f326(f326(f9(a1,a920,f928(a920,a920)),f326(f326(f10(a916,f928(a920,f928(a920,a920)),a1),f96(a920)),a194)),f2(a920))),a104)),f326(f326(f3(a920),f326(a104,x100761)),f326(a104,x100762)))
% 163.42/163.16 [10084]E(f326(f326(f85(a1,a920),f326(f103(a1),f326(f326(f79(a1),x100841),f326(f78(a1),x100842)))),f326(f326(f20(a1,a920,a920),f326(f326(f9(a1,a920,f928(a920,a920)),f326(f326(f10(a916,f928(a920,f928(a920,a920)),a1),f96(a920)),a194)),f2(a920))),a104)),f326(f326(f3(a920),f326(f103(a920),x100841)),f326(f103(a920),x100842)))+P106(f326(f326(f235(a1),x100842),a82))
% 163.42/163.16 [10085]~P28(x100851,x100852)+P106(f326(f326(f234(f928(f927(x100851,x100851),a916)),f326(f326(f288(x100851,x100851,x100851),f326(f250(f928(f927(x100851,x100851),a916),f928(f927(x100851,x100851),a916)),x100852)),f326(f255(f928(f927(x100851,x100851),a916),f928(f927(x100851,x100851),a916)),x100852))),f326(f250(f928(f927(x100851,x100851),a916),f928(f927(x100851,x100851),a916)),x100852)))
% 163.42/163.16 [10142]~E(f326(f34(a920),f326(f261(a920),f326(f326(f20(a920,a916,a916),f326(f326(f10(a916,f928(a916,a916),a920),a324),f326(f326(f9(a920,f928(a920,a916),a916),f328(a920)),x101421))),f326(f326(f9(a920,a920,a916),f235(a920)),f326(a112,x101422))))),f2(a920))+~P106(f326(f326(f328(a920),f2(a920)),x101421))
% 163.42/163.16 [10153]E(f298(a920,f326(f326(f20(a920,f928(a920,a916),f928(a920,a916)),f326(f326(f10(f928(a920,f928(a916,a916)),f928(f928(a920,a916),f928(a920,a916)),a920),f20(a920,a916,a916)),f326(f326(f10(f928(a920,a916),f928(a920,f928(a916,a916)),a920),f326(f10(a916,f928(a916,a916),a920),a324)),f286(a920)))),f326(f326(f10(f928(a920,a916),f928(a920,a916),a920),f326(f10(a916,a916,a920),a321)),f326(f9(a920,a920,a916),f286(a920)))),x101531,x101532),f189(f928(a920,a916)))+~P106(f326(f326(f286(a920),x101532),x101531))
% 163.42/163.16 [10158]E(f299(a920,f286(a920),f326(f326(f20(a920,f928(a920,a916),f928(a920,a916)),f326(f326(f10(f928(a920,f928(a916,a916)),f928(f928(a920,a916),f928(a920,a916)),a920),f20(a920,a916,a916)),f326(f326(f10(f928(a920,a916),f928(a920,f928(a916,a916)),a920),f326(f10(a916,f928(a916,a916),a920),a324)),f286(a920)))),f326(f326(f10(f928(a920,a916),f928(a920,a916),a920),f326(f10(a916,a916,a920),a321)),f326(f9(a920,a920,a916),f286(a920)))),x101581,x101582),f189(f928(a920,a916)))+P106(f326(f326(f286(a920),x101581),x101582))
% 163.42/163.16 [10159]E(f296(a920,f286(a920),f326(f326(f20(a920,f928(a920,a916),f928(a920,a916)),f326(f326(f10(f928(a920,f928(a916,a916)),f928(f928(a920,a916),f928(a920,a916)),a920),f20(a920,a916,a916)),f326(f326(f10(f928(a920,a916),f928(a920,f928(a916,a916)),a920),f326(f10(a916,f928(a916,a916),a920),a324)),f286(a920)))),f326(f326(f10(f928(a920,a916),f928(a920,a916),a920),f326(f10(a916,a916,a920),a321)),f326(f9(a920,a920,a916),f286(a920)))),x101591,x101592),f189(f928(a920,a916)))+P106(f326(f326(f286(a920),x101591),x101592))
% 163.42/163.16 [10163]E(f299(a920,f286(a920),f326(f326(f20(a920,f928(a920,a916),f928(a920,a916)),f326(f326(f10(f928(a920,f928(a916,a916)),f928(f928(a920,a916),f928(a920,a916)),a920),f20(a920,a916,a916)),f326(f326(f10(f928(a920,a916),f928(a920,f928(a916,a916)),a920),f326(f10(a916,f928(a916,a916),a920),a324)),f286(a920)))),f326(f326(f10(f928(a920,a916),f928(a920,a916),a920),f326(f10(a916,a916,a920),a321)),f326(f9(a920,a920,a916),f286(a920)))),x101631,x101632),f189(f928(a920,a916)))+~P106(f326(f326(f286(a920),x101632),x101631))
% 163.42/163.16 [10165]E(f296(a920,f286(a920),f326(f326(f20(a920,f928(a920,a916),f928(a920,a916)),f326(f326(f10(f928(a920,f928(a916,a916)),f928(f928(a920,a916),f928(a920,a916)),a920),f20(a920,a916,a916)),f326(f326(f10(f928(a920,a916),f928(a920,f928(a916,a916)),a920),f326(f10(a916,f928(a916,a916),a920),a324)),f286(a920)))),f326(f326(f10(f928(a920,a916),f928(a920,a916),a920),f326(f10(a916,a916,a920),a321)),f326(f9(a920,a920,a916),f286(a920)))),x101651,x101652),f189(f928(a920,a916)))+~P106(f326(f326(f286(a920),x101652),x101651))
% 163.42/163.16 [10208]E(f44(a1,f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x102081),x102081)),a97)),f326(f103(a1),f326(f326(f79(a1),x102082),x102082))),f326(f326(f79(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f44(a1,f326(f103(a1),x102081),f326(f103(a1),x102082)))),f77(a1)))+~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x102082)))
% 163.42/163.16 [10217]E(f44(a1,f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x102171),x102171)),a97)),f326(f103(a1),f326(f326(f79(a1),x102172),x102172))),f326(f326(f3(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f44(a1,f326(f326(f79(a1),f326(f103(a1),x102171)),f77(a1)),f326(f103(a1),x102172)))),f77(a1)))+P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x102172)))
% 163.42/163.16 [10271]~P6(x102711)+E(f36(x102711,f326(f261(x102711),f326(f326(f10(f928(x102711,a916),a916,x102711),f87(x102711)),f326(f326(f10(f928(x102711,a916),f928(x102711,a916),x102711),f326(f20(x102711,a916,a916),f326(f326(f10(a916,f928(a916,a916),x102711),a329),f326(f326(f9(x102711,f928(x102711,a916),a916),f328(x102711)),x102712)))),f234(x102711))))),f37(x102711,x102712))
% 163.42/163.16 [10297]~P39(x102971,x102972)+P61(x102971,f326(f326(f9(x102971,f928(f927(x102971,x102971),a916),f928(x102971,a916)),f326(f326(f10(f928(x102971,f928(f928(f927(x102971,x102971),a916),a916)),f928(f928(f927(x102971,x102971),a916),f928(x102971,a916)),x102971),f9(x102971,f928(f927(x102971,x102971),a916),a916)),f326(f326(f10(f928(x102971,f927(x102971,x102971)),f928(x102971,f928(f928(f927(x102971,x102971),a916),a916)),x102971),f326(f10(f927(x102971,x102971),f928(f928(f927(x102971,x102971),a916),a916),x102971),f328(f927(x102971,x102971)))),f251(x102971,x102971)))),x102972))
% 163.42/163.16 [10298]~P9(x102981,f241(f928(x102981,a916)),x102982)+P8(x102981,f326(f326(f9(x102981,f928(f927(x102981,x102981),a916),f928(x102981,a916)),f326(f326(f10(f928(x102981,f928(f928(f927(x102981,x102981),a916),a916)),f928(f928(f927(x102981,x102981),a916),f928(x102981,a916)),x102981),f9(x102981,f928(f927(x102981,x102981),a916),a916)),f326(f326(f10(f928(x102981,f927(x102981,x102981)),f928(x102981,f928(f928(f927(x102981,x102981),a916),a916)),x102981),f326(f10(f927(x102981,x102981),f928(f928(f927(x102981,x102981),a916),a916),x102981),f328(f927(x102981,x102981)))),f251(x102981,x102981)))),x102982))
% 163.42/163.16 [10342]P39(x103421,x103422)+~P61(x103421,f326(f326(f9(x103421,f928(f927(x103421,x103421),a916),f928(x103421,a916)),f326(f326(f10(f928(x103421,f928(f928(f927(x103421,x103421),a916),a916)),f928(f928(f927(x103421,x103421),a916),f928(x103421,a916)),x103421),f9(x103421,f928(f927(x103421,x103421),a916),a916)),f326(f326(f10(f928(x103421,f927(x103421,x103421)),f928(x103421,f928(f928(f927(x103421,x103421),a916),a916)),x103421),f326(f10(f927(x103421,x103421),f928(f928(f927(x103421,x103421),a916),a916),x103421),f328(f927(x103421,x103421)))),f251(x103421,x103421)))),x103422))
% 163.42/163.16 [10343]P9(x103431,f241(f928(x103431,a916)),x103432)+~P8(x103431,f326(f326(f9(x103431,f928(f927(x103431,x103431),a916),f928(x103431,a916)),f326(f326(f10(f928(x103431,f928(f928(f927(x103431,x103431),a916),a916)),f928(f928(f927(x103431,x103431),a916),f928(x103431,a916)),x103431),f9(x103431,f928(f927(x103431,x103431),a916),a916)),f326(f326(f10(f928(x103431,f927(x103431,x103431)),f928(x103431,f928(f928(f927(x103431,x103431),a916),a916)),x103431),f326(f10(f927(x103431,x103431),f928(f928(f927(x103431,x103431),a916),a916),x103431),f328(f927(x103431,x103431)))),f251(x103431,x103431)))),x103432))
% 163.42/163.16 [7487]E(f326(f326(f79(a920),f326(f103(a920),f326(f326(f3(a1),x74871),a97))),x74872),f326(a112,f326(f326(f79(a920),f326(f103(a920),x74871)),x74872)))+P106(f326(a194,f326(f103(a1),x74871)))
% 163.42/163.16 [7924]~P94(x79241)+E(f326(f326(f79(x79241),f326(f326(f79(x79241),f77(x79241)),f326(f103(x79241),x79242))),f326(f103(x79241),x79242)),f326(f103(x79241),f326(f326(f3(a1),f326(f326(f79(a1),x79242),x79242)),a97)))
% 163.42/163.16 [8564]~P106(f326(f326(f234(a1),x85641),x85642))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x85641),x85641)),f326(f326(f3(a1),f326(f326(f79(a1),x85642),x85642)),a97)))
% 163.42/163.16 [8566]~P106(f326(f326(f234(a1),x85661),x85662))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x85661),x85661)),f326(f326(f3(a1),f326(f326(f79(a1),x85662),x85662)),a97)))
% 163.42/163.16 [8996]P106(f326(f326(f234(a1),x89961),x89962))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),x89961),x89961)),f326(f326(f3(a1),f326(f326(f79(a1),x89962),x89962)),a97)))
% 163.42/163.16 [8998]P106(f326(f326(f234(a1),x89981),x89982))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),x89981),x89981)),f326(f326(f3(a1),f326(f326(f79(a1),x89982),x89982)),a97)))
% 163.42/163.16 [9286]~P106(f326(f326(f234(a1),x92861),x92862))+P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x92861),x92861)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x92862),x92862)),a97)))
% 163.42/163.16 [9288]~P106(f326(f326(f235(a1),x92881),x92882))+P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x92881),x92881)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x92882),x92882)),a97)))
% 163.42/163.16 [9557]P106(f326(f326(f234(a1),x95571),x95572))+~P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x95571),x95571)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x95572),x95572)),a97)))
% 163.42/163.16 [9559]P106(f326(f326(f235(a1),x95591),x95592))+~P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x95591),x95591)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x95592),x95592)),a97)))
% 163.42/163.16 [9592]~P106(f326(f60(x95921),x95922))+P106(f326(f60(f928(x95921,a916)),f326(f261(f928(x95921,a916)),f326(f326(f9(f928(x95921,a916),f928(x95921,a916),a916),f234(f928(x95921,a916))),x95922))))
% 163.42/163.16 [9644]~E(f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),x96441),f189(f928(f927(a920,a920),a916)))),f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),x96442),f189(f928(f927(a920,a920),a916)))))+P106(f326(f326(f328(f927(f927(a920,a920),f927(a920,a920))),f326(f326(f251(f927(a920,a920),f927(a920,a920)),x96441),x96442)),a108))
% 163.42/163.16 [9737]E(f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),x97371),f189(f928(f927(a920,a920),a916)))),f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),x97372),f189(f928(f927(a920,a920),a916)))))+~P106(f326(f326(f328(f927(f927(a920,a920),f927(a920,a920))),f326(f326(f251(f927(a920,a920),f927(a920,a920)),x97371),x97372)),a108))
% 163.42/163.16 [9773]P106(f326(f326(f234(a1),f2(a1)),f642(x97731,x97732)))+E(f326(f261(a1),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f234(a1),f2(a1)))),x97731)),f326(f261(a1),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f234(a1),f2(a1)))),x97732)))
% 163.42/163.16 [10281]~P6(x102811)+E(f37(x102811,f326(f261(x102811),f326(f326(f10(f928(x102811,a916),a916,x102811),f87(x102811)),f326(f326(f10(f928(x102811,a916),f928(x102811,a916),x102811),f326(f20(x102811,a916,a916),f326(f326(f10(a916,f928(a916,a916),x102811),a329),f326(f326(f9(x102811,f928(x102811,a916),a916),f328(x102811)),x102812)))),f326(f9(x102811,x102811,a916),f234(x102811)))))),f36(x102811,x102812))
% 163.42/163.16 [10303]P106(f326(f326(f328(a920),f2(a920)),x103031))+E(f326(f34(a920),f326(f261(a920),f326(f326(f20(a920,a916,a916),f326(f326(f10(a916,f928(a916,a916),a920),a324),f326(f326(f9(a920,f928(a920,a916),a916),f326(f326(f10(a920,f928(f928(a920,a916),a916),a920),f328(a920)),a112)),x103031))),f326(f326(f9(a920,a920,a916),f235(a920)),x103032)))),f326(f34(a920),f326(f261(a920),f326(f326(f20(a920,a916,a916),f326(f326(f10(a916,f928(a916,a916),a920),a324),f326(f326(f9(a920,f928(a920,a916),a916),f328(a920)),x103031))),f326(f326(f9(a920,a920,a916),f235(a920)),f326(a112,x103032))))))
% 163.42/163.16 [7792]~P94(x77921)+E(f326(f326(f80(x77921),x77922),f326(f103(x77921),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),x77922)
% 163.42/163.16 [8053]~P94(x80531)+E(f326(f326(f79(x80531),f326(f103(x80531),x80532)),f77(x80531)),f326(f103(x80531),f326(f326(f79(a1),x80532),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 163.42/163.16 [8198]P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x81982)))+E(f326(f326(f243(a1),x81981),f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),x81982),x81982)),a97))),f77(a1))
% 163.42/163.16 [9619]~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x96192)))+E(f326(f326(f243(a1),x96191),f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),x96192),x96192)),a97))),f326(f326(f85(a1,a1),f326(f326(f243(a1),x96191),f326(f103(a920),x96192))),f326(f326(f20(a1,a1,a1),f326(f326(f10(a1,f928(a1,a1),a1),f80(a1)),f326(f80(a1),x96191))),f7(a1))))
% 163.42/163.16 [9994]~P106(f326(f326(f234(a920),f652(x99942,x99941)),f326(x99941,f652(x99942,x99941))))+P106(f326(f60(a920),f326(f261(a920),f326(f326(f9(a920,a920,a916),f326(f326(f10(a920,f928(a920,a916),a920),f234(a920)),x99941)),x99942))))
% 163.42/163.16 [10132]~P106(f326(f326(f234(a920),f326(f103(a920),x101321)),f326(a112,x101322)))+P106(f326(f326(f85(a1,a916),f326(f103(a1),f326(f326(f79(a1),x101321),a97))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a329),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f9(a1,a920,a916),f326(f326(f10(a920,f928(a920,a916),a1),f234(a920)),a104)),x101322))))
% 163.42/163.16 [10133]~P106(f326(f326(f235(a920),f326(f103(a920),x101331)),f326(a112,x101332)))+P106(f326(f326(f85(a1,a916),f326(f103(a1),f326(f326(f79(a1),x101331),a97))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a329),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f9(a1,a920,a916),f326(f326(f10(a920,f928(a920,a916),a1),f235(a920)),a104)),x101332))))
% 163.42/163.16 [10192]P106(f326(f326(f234(a920),f326(f103(a920),x101921)),f326(a112,x101922)))+~P106(f326(f326(f85(a1,a916),f326(f103(a1),f326(f326(f79(a1),x101921),a97))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a329),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f9(a1,a920,a916),f326(f326(f10(a920,f928(a920,a916),a1),f234(a920)),a104)),x101922))))
% 163.42/163.16 [10193]P106(f326(f326(f235(a920),f326(f103(a920),x101931)),f326(a112,x101932)))+~P106(f326(f326(f85(a1,a916),f326(f103(a1),f326(f326(f79(a1),x101931),a97))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a329),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f9(a1,a920,a916),f326(f326(f10(a920,f928(a920,a916),a1),f235(a920)),a104)),x101932))))
% 163.42/163.16 [10223]~P106(f326(f326(f234(a920),f326(a112,x102232)),f326(f103(a920),x102231)))+P106(f326(f326(f85(a1,a916),f326(f103(a1),f326(f326(f79(a1),x102231),a97))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a329),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f10(a920,a916,a1),f326(f234(a920),x102232)),a104)))))
% 163.42/163.16 [10224]~P106(f326(f326(f235(a920),f326(a112,x102242)),f326(f103(a920),x102241)))+P106(f326(f326(f85(a1,a916),f326(f103(a1),f326(f326(f79(a1),x102241),a97))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a329),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f10(a920,a916,a1),f326(f235(a920),x102242)),a104)))))
% 163.42/163.16 [10269]P106(f326(f326(f234(a920),f326(a112,x102691)),f326(f103(a920),x102692)))+~P106(f326(f326(f85(a1,a916),f326(f103(a1),f326(f326(f79(a1),x102692),a97))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a329),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f10(a920,a916,a1),f326(f234(a920),x102691)),a104)))))
% 163.42/163.16 [10270]P106(f326(f326(f235(a920),f326(a112,x102701)),f326(f103(a920),x102702)))+~P106(f326(f326(f85(a1,a916),f326(f103(a1),f326(f326(f79(a1),x102702),a97))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a329),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f10(a920,a916,a1),f326(f235(a920),x102701)),a104)))))
% 163.42/163.16 [10352]~P106(f326(f326(f328(a920),f2(a920)),x103521))+E(f326(a112,f326(f34(a920),f326(f261(a920),f326(f326(f20(a920,a916,a916),f326(f326(f10(a916,f928(a916,a916),a920),a324),f326(f326(f9(a920,f928(a920,a916),a916),f326(f326(f10(a920,f928(f928(a920,a916),a916),a920),f328(a920)),a112)),x103521))),f326(f326(f9(a920,a920,a916),f235(a920)),x103522))))),f326(f34(a920),f326(f261(a920),f326(f326(f20(a920,a916,a916),f326(f326(f10(a916,f928(a916,a916),a920),a324),f326(f326(f9(a920,f928(a920,a916),a916),f328(a920)),x103521))),f326(f326(f9(a920,a920,a916),f235(a920)),f326(a112,x103522))))))
% 163.42/163.16 [8735]~P94(x87351)+E(f326(f326(f80(x87351),f326(f103(x87351),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),x87352),x87352)
% 163.42/163.16 [8796]~P94(x87961)+E(f326(f326(f79(x87961),f77(x87961)),f326(f103(x87961),x87962)),f326(f103(x87961),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x87962)))
% 163.42/163.16 [8860]~P94(x88601)+E(f326(f326(f3(x88601),f326(f103(x88601),x88602)),f77(x88601)),f326(f103(x88601),f326(f326(f79(a1),x88602),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 163.42/163.16 [9015]~P106(f326(f326(f235(a920),f326(f103(a920),a82)),x90152))+E(f326(f326(f3(a920),x90151),f326(f326(f3(a920),x90152),f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f3(a920),f326(a112,x90151)),x90152))
% 163.42/163.16 [9662]~P113(x96621)+E(f326(f326(f80(x96621),x96622),x96622),f326(f326(f243(x96621),x96622),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 163.42/163.16 [9663]~P82(x96631)+E(f326(f326(f243(x96631),x96632),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f80(x96631),x96632),x96632))
% 163.42/163.16 [9665]~P94(x96651)+E(f326(f326(f80(x96651),x96652),f326(f103(x96651),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f79(x96651),x96652),x96652))
% 163.42/163.16 [9912]~P120(x99121)+E(f326(f326(f243(x99121),f326(f75(x99121),x99122)),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x99121),x99122),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 163.42/163.16 [9913]~P143(x99131)+E(f326(f326(f243(x99131),f326(f78(x99131),x99132)),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x99131),x99132),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 163.42/163.16 [9909]~P94(x99091)+E(f326(f326(f80(x99091),f326(f103(x99091),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x99092),f326(f326(f79(x99091),x99092),x99092))
% 163.42/163.16 [10027]~P120(x100271)+E(f326(f75(x100271),f326(f326(f243(x100271),x100272),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x100271),x100272),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 163.42/163.16 [10092]~P120(x100921)+P106(f326(f326(f234(x100921),f2(x100921)),f326(f326(f243(x100921),x100922),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 163.42/163.16 [10260]~E(f326(a112,x102602),f326(f103(a920),x102601))+P106(f326(f326(f85(a1,a916),f326(f103(a1),f326(f326(f79(a1),x102601),a97))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a329),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f9(a1,a920,a916),f326(f326(f10(a920,f928(a920,a916),a1),a323),a104)),x102602)))))
% 163.42/163.16 [10261]~E(f326(f103(a920),x102611),f326(a112,x102612))+P106(f326(f326(f85(a1,a916),f326(f103(a1),f326(f326(f79(a1),x102611),a97))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a329),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f9(a1,a920,a916),f326(f326(f10(a920,f928(a920,a916),a1),a323),a104)),x102612)))))
% 163.42/163.16 [10306]E(f326(a112,x103061),f326(f103(a920),x103062))+~P106(f326(f326(f85(a1,a916),f326(f103(a1),f326(f326(f79(a1),x103062),a97))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a329),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f9(a1,a920,a916),f326(f326(f10(a920,f928(a920,a916),a1),a323),a104)),x103061)))))
% 163.42/163.16 [10307]E(f326(f103(a920),x103071),f326(a112,x103072))+~P106(f326(f326(f85(a1,a916),f326(f103(a1),f326(f326(f79(a1),x103071),a97))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a329),f326(f326(f10(a916,a916,a1),a321),a194))),f326(f326(f9(a1,a920,a916),f326(f326(f10(a920,f928(a920,a916),a1),a323),a104)),x103072)))))
% 163.42/163.16 [10353]~P16(x103531,x103532)+P106(f326(f326(f328(f928(x103531,a916)),f812(x103532,x103531)),f326(f326(f10(f928(x103531,a916),a916,f928(x103531,a916)),f86(x103531)),f326(f326(f10(f928(x103531,a916),f928(x103531,a916),f928(x103531,a916)),f326(f20(x103531,a916,a916),f326(f326(f10(a916,f928(a916,a916),x103531),a324),f326(f326(f20(x103531,x103531,a916),x103532),f7(x103531))))),f326(f326(f9(f928(x103531,a916),f928(x103531,f928(x103531,a916)),f928(x103531,a916)),f326(f326(f10(f928(f928(x103531,a916),a916),f928(f928(x103531,f928(x103531,a916)),f928(x103531,a916)),f928(x103531,a916)),f10(f928(x103531,a916),a916,x103531)),a323)),x103532)))))
% 163.42/163.16 [10090]~P94(x100901)+E(f326(f326(f243(x100901),f326(f103(x100901),a97)),f326(f326(f80(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x100902)),f77(x100901))
% 163.42/163.16 [10091]~P143(x100911)+E(f326(f326(f243(x100911),f326(f78(x100911),f77(x100911))),f326(f326(f80(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x100912)),f77(x100911))
% 163.42/163.16 [10094]~P82(x100941)+E(f326(f326(f243(x100941),x100942),f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),f326(f326(f80(x100941),f326(f326(f80(x100941),x100942),x100942)),x100942))
% 163.42/163.16 [10286]~P106(f326(f326(f234(a1),f2(a1)),x102862))+E(f44(a1,f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102861)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102862)),f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f44(a1,x102861,x102862))))
% 163.42/163.16 [10309]~P106(f326(f326(f234(a1),f2(a1)),x103092))+E(f326(f326(f35(a1),f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103091))),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103092)),f326(f326(f35(a1),x103091),x103092))
% 163.42/163.16 [10311]~P106(f326(f326(f234(a1),x103112),f2(a1)))+E(f326(f326(f35(a1),f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103111))),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103112)),f326(f326(f35(a1),f326(f326(f79(a1),x103111),f77(a1))),x103112))
% 163.42/163.16 [10312]~P106(f326(f326(f234(a1),x103122),f2(a1)))+E(f44(a1,f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103121)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103122)),f326(f326(f3(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f44(a1,f326(f326(f79(a1),x103121),f77(a1)),x103122))),f77(a1)))
% 163.42/163.16 [10183]~P94(x101831)+E(f326(f326(f243(x101831),f326(f103(x101831),a97)),f326(a112,f326(f326(f80(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101832))),f326(f103(x101831),a97))
% 163.42/163.16 [10185]~P143(x101851)+E(f326(f326(f243(x101851),f326(f78(x101851),f77(x101851))),f326(a112,f326(f326(f80(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101852))),f326(f78(x101851),f77(x101851)))
% 163.42/163.16 [5136]P40(x51361,x51362)+~P9(x51361,x51363,x51362)
% 163.42/163.16 [5138]P53(x51381,x51382)+~P9(x51381,x51383,x51382)
% 163.42/163.16 [5309]~P25(x53091,x53092,x53093)+P30(x53091,x53092,x53093)
% 163.42/163.16 [5311]~P9(x53111,x53112,x53113)+P54(x53111,x53112,x53113)
% 163.42/163.16 [8264]~E(x82642,x82643)+P36(x82641,x82641,a323,x82642,x82643)
% 163.42/163.16 [8809]E(x88091,x88092)+~P36(x88093,x88093,a323,x88091,x88092)
% 163.42/163.16 [4944]E(f169(x49441,x49442,x49443),f113(x49441))+~E(x49442,f2(a920))
% 163.42/163.16 [5112]~E(f169(x51122,x51121,x51123),f113(x51122))+E(x51121,f2(a920))
% 163.42/163.16 [5316]~P39(x53161,x53163)+P39(x53161,f320(x53161,x53162,x53163))
% 163.42/163.16 [5425]~P31(x54251,x54252,x54253)+P33(a1,x54251,f178(x54252,x54253))
% 163.42/163.16 [5498]P31(x54981,x54982,x54983)+~P33(a1,x54981,f178(x54982,x54983))
% 163.42/163.16 [5569]~P9(x55691,x55692,x55693)+P9(f921(x55691),f161(x55691,x55692),f158(x55691,x55693))
% 163.42/163.16 [5570]~P54(x55701,x55702,x55703)+P54(f921(x55701),f161(x55701,x55702),f158(x55701,x55703))
% 163.42/163.16 [5682]P56(x56821,x56822,x56823)+~E(f598(x56823,x56822,x56821),f599(x56823,x56822,x56821))
% 163.42/163.16 [5683]P57(x56831,x56832,x56833)+~E(f614(x56833,x56832,x56831),f615(x56833,x56832,x56831))
% 163.42/163.16 [8270]~E(x82702,x82703)+P27(x82701,x82701,f31(x82701),x82702,x82703)
% 163.42/163.16 [8817]E(x88171,x88172)+~P27(x88173,x88173,f31(x88173),x88171,x88172)
% 163.42/163.16 [4899]~E(f326(f168(x48992),x48991),x48993)+E(x48991,f326(f168(x48992),x48993))
% 163.42/163.16 [4900]~E(x49002,f326(f168(x49001),x49003))+E(f326(f168(x49001),x49002),x49003)
% 163.42/163.16 [4950]E(x49501,x49502)+~E(f326(f168(x49503),x49501),f326(f168(x49503),x49502))
% 163.42/163.16 [5162]~P8(x51623,x51621)+P106(f326(f326(x51621,x51622),x51622))
% 163.42/163.16 [5163]~P45(x51633,x51631)+P106(f326(f326(x51631,x51632),x51632))
% 163.42/163.16 [5165]~P61(x51651,x51652)+P106(f326(f314(x51651,x51652),x51653))
% 163.42/163.16 [5230]~P39(x52301,x52302)+P39(f921(x52301),f326(f143(x52301,x52302),x52303))
% 163.42/163.16 [5235]~P106(f326(x52352,x52353))+~E(f326(f261(x52351),x52352),f189(f928(x52351,a916)))
% 163.42/163.16 [5236]~P106(f326(x52362,x52363))+~E(f189(f928(x52361,a916)),f326(f261(x52361),x52362))
% 163.42/163.16 [5248]E(x52481,f2(a920))+E(f144(x52482,f169(x52482,x52481,x52483)),x52483)
% 163.42/163.16 [5267]~P106(f326(x52671,x52673))+P106(f326(x52671,f89(x52672,x52671)))
% 163.42/163.16 [5268]~P106(f326(x52681,x52683))+P106(f326(x52681,f738(x52681,x52682)))
% 163.42/163.16 [5280]E(x52801,f2(a920))+E(f326(f141(x52802),f169(x52802,x52801,x52803)),x52803)
% 163.42/163.16 [5387]~E(x53872,x53873)+P106(f326(f326(f328(x53871),x53872),f326(a323,x53873)))
% 163.42/163.16 [5403]~E(x54032,f2(a920))+E(f326(f172(x54031),f169(x54031,x54032,x54033)),f189(f928(x54031,a916)))
% 163.42/163.16 [5447]E(f326(f168(x54471),x54472),f326(f326(f151(x54471),x54473),f113(x54471)))+~E(x54472,f326(f326(f151(x54471),x54473),f113(x54471)))
% 163.42/163.16 [5448]~E(x54483,f326(f326(f151(x54481),x54482),f113(x54481)))+E(f326(f326(f151(x54481),x54482),f113(x54481)),f326(f168(x54481),x54483))
% 163.42/163.16 [5494]~P35(x54941,x54942,x54943)+P35(x54941,x54942,f326(f168(x54941),x54943))
% 163.42/163.16 [5495]~P33(x54951,x54952,x54953)+P33(x54951,x54952,f326(f168(x54951),x54953))
% 163.42/163.16 [5499]E(f326(f34(x54991),f858(x54992,x54993,x54991)),x54992)+~E(f326(f34(x54991),x54993),f326(a112,x54992))
% 163.42/163.16 [5506]~P39(x55061,x55063)+P106(f326(f326(f328(x55061),x55062),f315(x55061,x55063)))
% 163.42/163.16 [5510]~E(f326(f168(x55102),x55101),f326(f326(f151(x55102),x55103),f113(x55102)))+E(x55101,f326(f326(f151(x55102),x55103),f113(x55102)))
% 163.42/163.16 [5511]~E(f326(f326(f151(x55112),x55113),f113(x55112)),f326(f168(x55112),x55111))+E(x55111,f326(f326(f151(x55112),x55113),f113(x55112)))
% 163.42/163.16 [5534]E(f84(f927(a920,a920),f47(x55341,x55342)),x55343)+~P106(f326(f47(x55341,x55342),x55343))
% 163.42/163.16 [5573]P35(x55731,x55732,x55733)+~P35(x55731,x55732,f326(f168(x55731),x55733))
% 163.42/163.16 [5574]P33(x55741,x55742,x55743)+~P33(x55741,x55742,f326(f168(x55741),x55743))
% 163.42/163.16 [5613]P106(f326(f326(x56131,x56132),x56132))+~P106(f326(f269(x56133,x56131),x56132))
% 163.42/163.16 [5614]~P106(f326(f326(x56142,x56143),x56143))+P106(f326(f269(x56141,x56142),x56143))
% 163.42/163.16 [5636]~E(x56362,f113(x56361))+P106(f326(f326(f328(f921(x56361)),x56362),f161(x56361,x56363)))
% 163.42/163.16 [5645]~P54(x56451,x56452,x56453)+P54(x56451,x56452,f326(f285(x56451,x56451),x56453))
% 163.42/163.16 [5646]~P57(x56461,x56462,x56463)+P57(x56461,x56462,f326(f285(x56461,x56461),x56463))
% 163.42/163.16 [5663]~P62(x56631)+E(f44(x56631,f44(x56631,x56632,x56633),x56633),f44(x56631,x56632,x56633))
% 163.42/163.16 [5767]E(x57671,x57672)+~P106(f326(f326(f328(x57673),x57671),f326(a323,x57672)))
% 163.42/163.16 [5813]~P146(x58131)+E(f191(x58131,x58132,f2(a920),x58133),x58133)
% 163.42/163.16 [5835]P54(x58351,x58352,x58353)+~P54(x58351,x58352,f326(f285(x58351,x58351),x58353))
% 163.42/163.16 [5836]P57(x58361,x58362,x58363)+~P57(x58361,x58362,f326(f285(x58361,x58361),x58363))
% 163.42/163.16 [5840]~P109(x58402)+E(f150(x58401,x58402,x58403,f113(x58401)),f113(x58401))
% 163.42/163.16 [5852]E(f170(x58521,x58522,f152(x58521,x58523)),f152(x58521,f170(x58521,x58522,x58523)))+~P106(f326(f137(x58521),x58523))
% 163.42/163.16 [5951]~P106(f326(f326(x59513,x59512),x59512))+P106(f326(f326(f328(x59511),x59512),f269(x59511,x59513)))
% 163.42/163.16 [5953]E(f326(f136(x59531,x59532),x59533),f113(x59531))+P106(f326(x59532,f697(x59533,x59532,x59531)))
% 163.42/163.16 [6012]E(f67(x60121,x60122,x60123),x60122)+P106(f326(x60123,f739(x60122,x60121,x60123)))
% 163.42/163.16 [6108]~P106(f326(f137(x61081),x61082))+P106(f326(f137(x61081),f176(x61081,x61082,x61083)))
% 163.42/163.16 [6109]~P106(f326(f137(x61091),x61093))+P106(f326(f137(x61091),f170(x61091,x61092,x61093)))
% 163.42/163.16 [6110]~P106(f326(f137(x61101),x61103))+P106(f326(f137(x61101),f177(x61101,x61102,x61103)))
% 163.42/163.16 [6111]~P106(f326(f137(x61111),x61113))+P106(f326(f137(x61111),f140(x61111,x61112,x61113)))
% 163.42/163.16 [6112]~P148(x61121,x61123,x61122)+P106(f326(x61121,f44(a1,x61122,x61123)))
% 163.42/163.16 [6128]~P35(x61283,x61281,x61282)+P106(f326(x61281,f751(x61282,x61281,x61283)))
% 163.42/163.16 [6129]~P37(x61293,x61291,x61292)+P106(f326(x61291,f758(x61292,x61291,x61293)))
% 163.42/163.16 [6130]~P37(x61303,x61301,x61302)+P106(f326(x61301,f768(x61302,x61301,x61303)))
% 163.42/163.16 [6131]~P35(x61313,x61311,x61312)+P106(f326(x61311,f795(x61312,x61311,x61313)))
% 163.42/163.16 [6132]~P35(x61323,x61321,x61322)+P106(f326(x61321,f796(x61321,x61322,x61323)))
% 163.42/163.16 [6137]P106(f326(f326(x61371,x61372),x61372))+~P106(f326(f326(f328(x61373),x61372),f269(x61373,x61371)))
% 163.42/163.16 [6152]E(f326(f136(x61521,x61522),x61523),f177(x61521,x61522,x61523))+P106(f326(x61522,f723(x61523,x61522,x61521)))
% 163.42/163.16 [6192]~P106(f326(f137(x61921),x61923))+P106(f326(f137(f921(x61921)),f54(x61921,x61922,x61923)))
% 163.42/163.16 [6228]~P110(x62281)+E(f326(f326(f101(f928(x62281,a916)),f326(f281(x62281),x62282)),f302(x62281,x62282,x62283)),f189(f928(x62281,a916)))
% 163.42/163.16 [6229]~P110(x62291)+E(f326(f326(f101(f928(x62291,a916)),f326(f300(x62291),x62292)),f305(x62291,x62292,x62293)),f189(f928(x62291,a916)))
% 163.42/163.16 [6230]~P110(x62301)+E(f326(f326(f101(f928(x62301,a916)),f326(f300(x62301),x62302)),f304(x62301,x62302,x62303)),f189(f928(x62301,a916)))
% 163.42/163.16 [6464]E(f326(f136(x64641,x64642),x64643),x64643)+~P106(f326(x64642,f698(x64643,x64642,x64641)))
% 163.42/163.16 [6466]E(f326(f326(f308(x64661),f897(x64662,x64663,x64661)),f858(x64662,x64663,x64661)),x64663)+~E(f326(f34(x64661),x64663),f326(a112,x64662))
% 163.42/163.16 [6482]P148(x64821,x64822,x64823)+~P106(f326(x64821,f44(a1,x64823,x64822)))
% 163.42/163.16 [6534]P33(x65341,x65342,x65343)+~P106(f326(x65342,f759(x65343,x65342,x65341)))
% 163.42/163.16 [6535]P33(x65351,x65352,x65353)+~P106(f326(x65352,f765(x65352,x65353,x65351)))
% 163.42/163.16 [6536]P33(x65361,x65362,x65363)+~P106(f326(x65362,f766(x65363,x65362,x65361)))
% 163.42/163.16 [6537]P31(x65371,x65372,x65373)+~P106(f326(x65371,f784(x65373,x65372,x65371)))
% 163.42/163.16 [6538]P32(x65381,x65382,x65383)+~P106(f326(x65381,f828(x65383,x65382,x65381)))
% 163.42/163.16 [6540]E(f177(x65401,x65402,x65403),x65403)+~P106(f326(x65402,f718(x65403,x65402,x65401)))
% 163.42/163.16 [6619]~P106(f326(x66192,f573(x66193,x66192,x66191)))+P106(f326(f247(x66191,x66192),x66193))
% 163.42/163.16 [6620]~P106(f326(x66202,f674(x66203,x66202,x66201)))+P106(f326(f160(x66201,x66202),x66203))
% 163.42/163.16 [6870]~P106(f326(f314(x68701,x68702),f380(x68703,x68702,x68701)))+P106(f326(f314(x68701,x68702),x68703))
% 163.42/163.16 [6871]~P106(f326(f314(x68711,x68712),f391(x68713,x68712,x68711)))+P106(f326(f314(x68711,x68712),x68713))
% 163.42/163.16 [7488]~P62(x74881)+E(f326(f326(f79(x74881),f326(f326(f80(x74881),x74882),f326(f326(f35(x74881),x74883),x74882))),f44(x74881,x74883,x74882)),x74883)
% 163.42/163.16 [7518]P31(x75181,x75182,x75183)+P106(f326(f326(f328(a1),f784(x75183,x75182,x75181)),f302(a1,x75182,x75183)))
% 163.42/163.16 [7945]E(f326(f326(f251(x79451,x79451),f455(x79452,x79453,x79451)),f455(x79452,x79453,x79451)),x79453)+~P106(f326(f326(f328(f927(x79451,x79451)),x79453),f262(x79451,x79452)))
% 163.42/163.16 [8061]~P106(f326(f326(f328(x80611),f509(x80613,x80612,x80611)),f315(x80611,x80613)))+P106(f326(f326(f328(x80611),x80612),f315(x80611,x80613)))
% 163.42/163.16 [8062]~P106(f326(f326(f328(x80621),f602(x80623,x80622,x80621)),f315(x80621,x80623)))+P106(f326(f326(f328(x80621),x80622),f315(x80621,x80623)))
% 163.42/163.16 [8063]~P106(f326(f326(f328(x80631),f604(x80633,x80632,x80631)),f315(x80631,x80633)))+P106(f326(f326(f328(x80631),x80632),f315(x80631,x80633)))
% 163.42/163.16 [8156]P35(a1,x81561,f178(x81562,x81563))+P31(f326(f72(a916,a916,a1,a321),x81561),x81562,x81563)
% 163.42/163.16 [8245]~P62(x82451)+E(f326(f326(f79(x82451),f326(f326(f80(x82451),f326(f326(f35(x82451),x82452),x82453)),x82453)),f44(x82451,x82452,x82453)),x82452)
% 163.42/163.16 [8291]~E(f326(f34(x82911),x82912),f326(a112,x82913))+~P106(f326(f326(f328(x82911),f897(x82913,x82912,x82911)),f858(x82913,x82912,x82911)))
% 163.42/163.16 [8727]~P35(a1,x87271,f178(x87272,x87273))+~P31(f326(f72(a916,a916,a1,a321),x87271),x87272,x87273)
% 163.42/163.16 [8917]P106(f326(f326(f234(f928(f927(x89171,x89171),a916)),f306(x89171,x89172)),f306(x89171,x89173)))+~P106(f326(f326(f234(f928(f927(x89171,x89171),a916)),x89172),f306(x89171,x89173)))
% 163.42/163.16 [9197]E(x91971,f113(x91972))+~P106(f326(f326(f328(f927(f921(x91972),f921(x91972))),f326(f326(f251(f921(x91972),f921(x91972)),x91971),f113(x91972))),f158(x91972,x91973)))
% 163.42/163.16 [9221]E(x92211,f113(x92212))+~P106(f326(f326(f328(f927(f921(x92212),f921(x92212))),f326(f326(f251(f921(x92212),f921(x92212)),f113(x92212)),x92211)),f158(x92212,x92213)))
% 163.42/163.16 [9346]E(f326(f326(f151(x93461),f691(x93462,x93463,x93461)),f692(x93462,x93463,x93461)),x93463)+~P106(f326(f326(f328(f927(f921(x93461),f921(x93461))),f326(f326(f251(f921(x93461),f921(x93461)),f113(x93461)),x93463)),f147(x93461,x93462)))
% 163.42/163.16 [9585]~P128(x95851)+~P106(f326(f326(f235(x95851),f326(f326(f79(x95851),f326(f326(f80(x95851),x95852),x95852)),f326(f326(f80(x95851),x95853),x95853))),f2(x95851)))
% 163.42/163.16 [9636]P106(f326(f60(x96361),x96362))+~P106(f326(f326(f328(f927(f928(x96361,a916),f928(x96361,a916))),f326(f326(f251(f928(x96361,a916),f928(x96361,a916)),x96363),x96362)),f313(x96361)))
% 163.42/163.16 [9938]~P49(x99381,x99382,x99383)+P106(f326(f326(f234(a1),f326(f326(f72(f927(a1,a1),a1,x99381,f250(a1,a1)),f213(x99381)),f231(x99381,x99382,f228(x99381,x99383)))),f2(a1)))
% 163.42/163.16 [9939]~P50(x99391,x99392,x99393)+P106(f326(f326(f235(a1),f326(f326(f72(f927(a1,a1),a1,x99391,f250(a1,a1)),f213(x99391)),f231(x99391,x99392,f228(x99391,x99393)))),f2(a1)))
% 163.42/163.16 [10058]P50(x100581,x100582,x100583)+~P106(f326(f326(f235(a1),f326(f326(f72(f927(a1,a1),a1,x100581,f250(a1,a1)),f213(x100581)),f231(x100581,x100582,f228(x100581,x100583)))),f2(a1)))
% 163.42/163.16 [10059]P49(x100591,x100592,x100593)+~P106(f326(f326(f234(a1),f326(f326(f72(f927(a1,a1),a1,x100591,f250(a1,a1)),f213(x100591)),f231(x100591,x100592,f228(x100591,x100593)))),f2(a1)))
% 163.42/163.16 [10413]~P120(x104131)+~P106(f326(f326(f235(x104131),f326(f326(f79(x104131),f326(f326(f243(x104131),x104132),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104131),x104133),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x104131)))
% 163.42/163.16 [4929]~E(x49293,f113(x49291))+E(f326(f326(f134(x49291),x49292),x49293),x49292)
% 163.42/163.16 [4930]~E(x49302,f113(x49301))+E(f326(f326(f134(x49301),x49302),x49303),x49303)
% 163.42/163.16 [4936]~E(x49362,f2(a920))+E(f326(f326(f175(x49361),x49362),x49363),f113(x49361))
% 163.42/163.16 [4945]~E(x49453,f113(x49451))+E(f326(f326(f175(x49451),x49452),x49453),f113(x49451))
% 163.42/163.16 [4984]~E(x49841,x49843)+E(x49841,f326(f326(f134(x49842),f113(x49842)),x49843))
% 163.42/163.16 [5075]~P1(x50752)+E(f326(f189(f928(x50751,x50752)),x50753),f189(x50752))
% 163.42/163.16 [5076]~P117(x50762)+E(f326(f241(f928(x50761,x50762)),x50763),f241(x50762))
% 163.42/163.16 [5094]E(x50941,f113(x50942))+~E(f326(f326(f134(x50942),x50943),x50941),x50943)
% 163.42/163.16 [5095]E(x50951,f113(x50952))+~E(f326(f326(f134(x50952),x50951),x50953),x50953)
% 163.42/163.16 [5103]E(x51031,f113(x51032))+~E(f326(f326(f134(x51032),x51033),x51031),f113(x51032))
% 163.42/163.16 [5104]E(x51041,f113(x51042))+~E(f326(f326(f134(x51042),x51041),x51043),f113(x51042))
% 163.42/163.16 [5129]~E(x51292,f2(a920))+E(f326(f326(f80(a920),x51291),x51292),f326(f326(f80(a920),x51293),x51292))
% 163.42/163.16 [5131]~E(x51311,f2(a920))+E(f326(f326(f80(a920),x51311),x51312),f326(f326(f80(a920),x51311),x51313))
% 163.42/163.16 [5188]~P2(x51881)+E(f326(f326(f110(x51881),x51882),x51883),f326(f326(f110(x51881),x51883),x51882))
% 163.42/163.16 [5190]~P101(x51901)+E(f326(f326(f110(x51901),x51902),x51903),f326(f326(f110(x51901),x51903),x51902))
% 163.42/163.16 [5191]~P113(x51911)+E(f326(f326(f80(x51911),x51912),x51913),f326(f326(f80(x51911),x51913),x51912))
% 163.42/163.16 [5192]~P2(x51921)+E(f326(f326(f101(x51921),x51922),x51923),f326(f326(f101(x51921),x51923),x51922))
% 163.42/163.16 [5194]~P102(x51941)+E(f326(f326(f101(x51941),x51942),x51943),f326(f326(f101(x51941),x51943),x51942))
% 163.42/163.16 [5195]~P113(x51951)+E(f326(f326(f79(x51951),x51952),x51953),f326(f326(f79(x51951),x51953),x51952))
% 163.42/163.16 [5197]~P109(x51971)+E(f326(f326(f188(x51971),x51972),x51973),f326(f326(f188(x51971),x51973),x51972))
% 163.42/163.16 [5199]~P109(x51991)+E(f326(f326(f233(x51991),x51992),x51993),f326(f326(f233(x51991),x51993),x51992))
% 163.42/163.16 [5262]E(f44(a920,x52621,x52622),f2(a920))+~E(x52621,f326(f326(f80(a920),x52622),x52623))
% 163.42/163.16 [5263]E(f44(a1,x52631,x52632),f2(a1))+~E(x52631,f326(f326(f80(a1),x52632),x52633))
% 163.42/163.16 [5328]E(x53281,x53282)+~E(f326(f326(f79(a920),x53283),x53281),f326(f326(f79(a920),x53283),x53282))
% 163.42/163.16 [5329]E(x53291,x53292)+~E(f326(f326(f79(a920),x53291),x53293),f326(f326(f79(a920),x53292),x53293))
% 163.42/163.16 [5339]~P96(x53391)+E(f326(f326(f101(x53391),x53392),f326(f78(x53391),x53393)),f326(f326(f3(x53391),x53392),x53393))
% 163.42/163.16 [5340]~P69(x53401)+E(f326(f326(f79(x53401),x53402),f326(f78(x53401),x53403)),f326(f326(f3(x53401),x53402),x53403))
% 163.42/163.16 [5341]~P76(x53411)+E(f326(f326(f79(x53411),x53412),f326(f78(x53411),x53413)),f326(f326(f3(x53411),x53412),x53413))
% 163.42/163.16 [5342]~P115(x53421)+E(f326(f326(f79(x53421),x53422),f326(f78(x53421),x53423)),f326(f326(f3(x53421),x53422),x53423))
% 163.42/163.16 [5343]~P76(x53431)+E(f326(f326(f3(x53431),x53432),f326(f78(x53431),x53433)),f326(f326(f79(x53431),x53432),x53433))
% 163.42/163.16 [5381]~P106(f326(x53813,x53812))+P106(f326(f326(f328(x53811),x53812),x53813))
% 163.42/163.16 [5383]~P72(x53832)+E(f326(f326(f8(x53831,x53832),x53833),f189(f928(x53831,a916))),f2(x53832))
% 163.42/163.16 [5385]~P77(x53852)+E(f326(f326(f11(x53851,x53852),x53853),f189(f928(x53851,a916))),f77(x53852))
% 163.42/163.16 [5437]~E(x54372,f326(f326(f79(a920),x54371),x54373))+P106(f326(f326(f234(a920),x54371),x54372))
% 163.42/163.16 [5440]~E(x54402,f189(f928(x54401,a916)))+E(f326(f326(f59(x54401),x54402),x54403),f189(f928(f928(x54401,a916),a916)))
% 163.42/163.16 [5441]~E(x54412,f189(f928(x54411,a916)))+E(f189(f928(f928(x54411,a916),a916)),f326(f326(f59(x54411),x54412),x54413))
% 163.42/163.16 [5514]~E(f326(f283(x55142,x55143),x55141),f189(f928(x55143,a916)))+E(x55141,f189(f928(f927(x55142,x55143),a916)))
% 163.42/163.16 [5515]~E(f326(f263(x55152,x55153),x55151),f189(f928(x55152,a916)))+E(x55151,f189(f928(f927(x55152,x55153),a916)))
% 163.42/163.16 [5547]E(f326(f283(x55471,x55472),x55473),f189(f928(x55472,a916)))+~E(x55473,f189(f928(f927(x55471,x55472),a916)))
% 163.42/163.16 [5548]E(f326(f263(x55481,x55482),x55483),f189(f928(x55481,a916)))+~E(x55483,f189(f928(f927(x55481,x55482),a916)))
% 163.42/163.16 [5551]E(f273(x55511,x55512,x55513),f326(f326(f3(a99),x55512),x55513))+P106(f326(f326(f235(a99),x55512),x55513))
% 163.42/163.16 [5567]P106(f326(x55671,x55672))+~P106(f326(f326(f328(x55673),x55672),x55671))
% 163.42/163.16 [5606]E(x56061,x56062)+~E(f326(f78(f928(x56063,a916)),x56061),f326(f78(f928(x56063,a916)),x56062))
% 163.42/163.16 [5617]~E(x56171,f189(f928(x56172,a916)))+~P106(f326(f326(f328(x56172),x56173),x56171))
% 163.42/163.16 [5647]~E(x56472,f326(f326(f79(a1),x56471),f326(f100(a1),x56473)))+P106(f326(f326(f234(a1),x56471),x56472))
% 163.42/163.16 [5661]E(f326(f326(f308(x56611),x56612),x56613),x56613)+~P106(f326(f326(f328(x56611),x56612),x56613))
% 163.42/163.16 [5672]E(x56721,f189(f928(x56722,a916)))+~E(f326(f326(f59(x56722),x56721),x56723),f189(f928(f928(x56722,a916),a916)))
% 163.42/163.16 [5673]E(x56731,f189(f928(x56732,a916)))+~E(f189(f928(f928(x56732,a916),a916)),f326(f326(f59(x56732),x56731),x56733))
% 163.42/163.16 [5680]~P111(x56801)+E(f326(f326(f80(x56801),f326(f78(x56801),x56802)),f326(f78(x56801),x56803)),f326(f326(f80(x56801),x56802),x56803))
% 163.42/163.16 [5681]~P65(x56811)+E(f326(f326(f290(x56811),f326(f78(x56811),x56812)),f326(f78(x56811),x56813)),f326(f326(f290(x56811),x56812),x56813))
% 163.42/163.16 [5713]~P106(f326(x57133,x57132))+P106(f326(f326(f328(x57131),x57132),f326(f261(x57131),x57133)))
% 163.42/163.16 [5740]E(x57401,f2(a920))+E(f326(f172(x57402),f169(x57402,x57401,x57403)),f326(f326(f308(x57402),x57403),f189(f928(x57402,a916))))
% 163.42/163.16 [5760]E(f170(x57601,x57602,x57603),x57603)+P106(f326(f326(f328(x57601),x57602),f326(f172(x57601),x57603)))
% 163.42/163.16 [5844]~P106(f326(f137(x58441),x58443))+P106(f326(f137(x58441),f326(f136(x58441,x58442),x58443)))
% 163.42/163.16 [5887]~P62(x58871)+E(f326(f326(f35(x58871),f44(x58871,x58872,x58873)),x58873),f2(x58871))
% 163.42/163.16 [5906]E(f176(x59061,f326(f326(f151(x59061),x59062),f113(x59061)),x59063),f113(x59061))+P106(f326(f326(f328(a920),f2(a920)),x59063))
% 163.42/163.16 [5912]E(x59121,f2(a920))+E(f326(f171(x59122),f169(x59122,x59121,x59123)),f169(x59122,f326(f326(f3(a920),x59121),f77(a920)),x59123))
% 163.42/163.16 [5963]E(f326(f326(f151(x59631),x59632),x59633),f140(x59631,x59632,x59633))+P106(f326(f326(f328(x59631),x59632),f326(f172(x59631),x59633)))
% 163.42/163.16 [5972]E(x59721,x59722)+~E(f326(f326(f80(a920),f326(a112,x59723)),x59721),f326(f326(f80(a920),f326(a112,x59723)),x59722))
% 163.42/163.16 [5973]~E(x59732,f326(f326(f79(a1),x59731),f326(f100(a1),f326(a112,x59733))))+P106(f326(f326(f235(a1),x59731),x59732))
% 163.42/163.16 [6034]~P32(x60341,x60342,x60343)+P33(a920,x60341,f139(a920,f326(f301(a920,x60342),x60343)))
% 163.42/163.16 [6087]~E(x60873,f113(x60871))+E(f326(f326(f326(f183(f921(x60871),f921(x60871)),x60872),f167(x60871)),x60873),f113(x60871))
% 163.42/163.16 [6091]P106(f326(x60911,x60912))+~P106(f326(f326(f328(x60913),x60912),f326(f261(x60913),x60911)))
% 163.42/163.16 [6123]E(x61231,x61232)+~E(f326(f326(f308(x61233),x61231),f189(f928(x61233,a916))),f326(f326(f308(x61233),x61232),f189(f928(x61233,a916))))
% 163.42/163.16 [6139]~P110(x61391)+E(f326(f326(f101(f928(x61391,a916)),f326(f281(x61391),x61392)),f326(f301(x61391,x61392),x61393)),f189(f928(x61391,a916)))
% 163.42/163.16 [6178]E(f140(x61781,x61782,x61783),x61783)+~P106(f326(f326(f328(x61781),x61782),f326(f172(x61781),x61783)))
% 163.42/163.16 [6200]~P80(x62001)+E(f326(f309(x62001,x62001,f78(x62001)),f326(f301(x62001,x62002),x62003)),f304(x62001,f326(f78(x62001),x62003),f326(f78(x62001),x62002)))
% 163.42/163.16 [6211]E(f326(f190(f921(x62111)),f170(x62111,x62112,x62113)),f326(f190(f921(x62111)),x62113))+P106(f326(f326(f328(x62111),x62112),f326(f172(x62111),x62113)))
% 163.42/163.16 [6269]~P110(x62691)+E(f326(f326(f101(f928(x62691,a916)),f326(f301(x62691,x62692),x62693)),f326(f282(x62691),x62693)),f189(f928(x62691,a916)))
% 163.42/163.16 [6289]~P80(x62891)+E(f326(f309(x62891,x62891,f78(x62891)),f302(x62891,x62892,x62893)),f302(x62891,f326(f78(x62891),x62893),f326(f78(x62891),x62892)))
% 163.42/163.16 [6290]~P80(x62901)+E(f326(f309(x62901,x62901,f78(x62901)),f305(x62901,x62902,x62903)),f305(x62901,f326(f78(x62901),x62903),f326(f78(x62901),x62902)))
% 163.42/163.16 [6355]E(f176(x63551,f326(f326(f151(x63551),x63552),f113(x63551)),x63553),f326(f326(f151(x63551),x63552),f113(x63551)))+~P106(f326(f326(f328(a920),f2(a920)),x63553))
% 163.42/163.16 [6360]P32(x63601,x63602,x63603)+~P33(a920,x63601,f139(a920,f326(f301(a920,x63602),x63603)))
% 163.42/163.16 [6363]~P80(x63631)+E(f326(f309(x63631,x63631,f78(x63631)),f304(x63631,x63632,x63633)),f326(f301(x63631,f326(f78(x63631),x63633)),f326(f78(x63631),x63632)))
% 163.42/163.16 [6385]~P63(x63851)+E(f44(x63851,f326(f78(x63851),f44(x63851,x63852,x63853)),x63853),f44(x63851,f326(f78(x63851),x63852),x63853))
% 163.42/163.16 [6480]~P106(f326(f60(f927(x64802,x64801)),x64803))+P106(f326(f60(x64801),f326(f283(x64802,x64801),x64803)))
% 163.42/163.16 [6481]~P106(f326(f60(f927(x64811,x64812)),x64813))+P106(f326(f60(x64811),f326(f263(x64811,x64812),x64813)))
% 163.42/163.16 [6486]~P110(x64861)+E(f326(f326(f101(f928(x64861,a916)),f302(x64861,x64862,x64863)),f326(f303(x64861),x64863)),f189(f928(x64861,a916)))
% 163.42/163.16 [6487]~P110(x64871)+E(f326(f326(f101(f928(x64871,a916)),f305(x64871,x64872,x64873)),f326(f282(x64871),x64873)),f189(f928(x64871,a916)))
% 163.42/163.16 [6488]~P110(x64881)+E(f326(f326(f101(f928(x64881,a916)),f304(x64881,x64882,x64883)),f326(f303(x64881),x64883)),f189(f928(x64881,a916)))
% 163.42/163.16 [6561]E(f326(f326(f164(x65611),x65612),f638(x65612,x65613,x65611)),x65613)+~P106(f326(f326(f328(x65611),x65613),f326(f172(x65611),x65612)))
% 163.42/163.16 [6703]E(x67031,f113(x67032))+~E(f326(f326(f326(f183(f921(x67032),f921(x67032)),x67033),f167(x67032)),x67031),f113(x67032))
% 163.42/163.16 [6808]~P106(f326(f60(f927(x68082,x68081)),x68083))+P106(f326(f60(f927(x68081,x68082)),f326(f285(x68082,x68081),x68083)))
% 163.42/163.16 [6831]E(x68311,x68312)+~E(f289(a920,f286(a920),x68313,x68311),f326(f326(f308(a920),x68312),f189(f928(a920,a916))))
% 163.42/163.16 [6832]E(x68321,x68322)+~E(f289(a920,f286(a920),x68321,x68322),f326(f326(f308(a920),x68323),f189(f928(a920,a916))))
% 163.42/163.16 [6961]P57(x69611,x69612,x69613)+P106(f326(f326(f328(x69611),f615(x69613,x69612,x69611)),x69612))
% 163.42/163.16 [6962]P57(x69621,x69622,x69623)+P106(f326(f326(f328(x69621),f614(x69623,x69622,x69621)),x69622))
% 163.42/163.16 [6972]P106(f326(f314(x69721,x69722),x69723))+P106(f326(f326(x69722,f380(x69723,x69722,x69721)),x69723))
% 163.42/163.16 [6973]P106(f326(f314(x69731,x69732),x69733))+P106(f326(f326(x69732,f391(x69733,x69732,x69731)),x69733))
% 163.42/163.16 [7004]E(f326(f190(f921(x70041)),f170(x70041,x70042,x70043)),f326(f326(f3(a920),f326(f190(f921(x70041)),x70043)),f77(a920)))+~P106(f326(f326(f328(x70041),x70042),f326(f172(x70041),x70043)))
% 163.42/163.16 [7043]P106(f326(f247(x70431,x70432),x70433))+P106(f326(f326(f328(x70431),f573(x70433,x70432,x70431)),x70433))
% 163.42/163.16 [7052]~P106(f326(f60(f927(x70522,x70521)),f326(f285(x70521,x70522),x70523)))+P106(f326(f60(f927(x70521,x70522)),x70523))
% 163.42/163.16 [7110]~P106(f326(f326(f328(x71101),x71102),f326(f172(x71101),f114(x71101,x71103))))+P106(f326(f326(f328(x71101),x71102),f326(f172(x71101),x71103)))
% 163.42/163.16 [7144]E(f326(f136(x71441,x71442),x71443),x71443)+P106(f326(f326(f328(x71441),f698(x71443,x71442,x71441)),f326(f172(x71441),x71443)))
% 163.42/163.16 [7159]E(f326(f136(x71591,x71592),x71593),f113(x71591))+P106(f326(f326(f328(x71591),f697(x71593,x71592,x71591)),f326(f172(x71591),x71593)))
% 163.42/163.16 [7183]P33(x71831,x71832,x71833)+P106(f326(f326(f328(x71831),f759(x71833,x71832,x71831)),f326(f172(x71831),x71833)))
% 163.42/163.16 [7184]P33(x71841,x71842,x71843)+P106(f326(f326(f328(x71841),f766(x71843,x71842,x71841)),f326(f172(x71841),x71843)))
% 163.42/163.16 [7185]P33(x71851,x71852,x71853)+P106(f326(f326(f328(x71851),f765(x71852,x71853,x71851)),f326(f172(x71851),x71853)))
% 163.42/163.16 [7188]E(f177(x71881,x71882,x71883),x71883)+P106(f326(f326(f328(x71881),f718(x71883,x71882,x71881)),f326(f172(x71881),x71883)))
% 163.42/163.16 [7265]P106(f326(f160(x72651,x72652),x72653))+P106(f326(f326(f328(x72651),f674(x72653,x72652,x72651)),f326(f172(x72651),x72653)))
% 163.42/163.16 [7274]~P35(x72741,x72743,x72742)+P106(f326(f326(f328(x72741),f751(x72742,x72743,x72741)),f326(f172(x72741),x72742)))
% 163.42/163.16 [7275]~P37(x72751,x72753,x72752)+P106(f326(f326(f328(x72751),f758(x72752,x72753,x72751)),f326(f172(x72751),x72752)))
% 163.42/163.16 [7276]~P37(x72761,x72763,x72762)+P106(f326(f326(f328(x72761),f768(x72762,x72763,x72761)),f326(f172(x72761),x72762)))
% 163.42/163.16 [7277]~P35(x72771,x72773,x72772)+P106(f326(f326(f328(x72771),f795(x72772,x72773,x72771)),f326(f172(x72771),x72772)))
% 163.42/163.16 [7278]~P35(x72781,x72782,x72783)+P106(f326(f326(f328(x72781),f796(x72782,x72783,x72781)),f326(f172(x72781),x72783)))
% 163.42/163.16 [7312]P106(f326(f326(f328(x73121),x73122),f340(x73123,x73122,x73121)))+~P106(f326(f326(f328(x73121),x73122),f36(f928(x73121,a916),x73123)))
% 163.42/163.16 [7313]~P72(x73131)+E(f326(f326(f79(x73131),f326(f326(f8(a920,x73131),x73132),f326(f281(a920),x73133))),f326(x73132,x73133)),f326(f326(f8(a920,x73131),x73132),f326(f281(a920),f326(a112,x73133))))
% 163.42/163.16 [7325]P32(x73251,x73252,x73253)+P106(f326(f326(f328(a920),f828(x73253,x73252,x73251)),f326(f301(a920,x73252),x73253)))
% 163.42/163.16 [7405]~P35(x74052,x74051,x74053)+P106(f326(x74051,f326(f326(f164(x74052),x74053),f754(x74053,x74051,x74052))))
% 163.42/163.16 [7418]~P106(f326(f326(f328(x74181),x74182),f382(x74182,x74183,x74181)))+P106(f326(f326(f328(x74181),x74182),f37(f928(x74181,a916),x74183)))
% 163.42/163.16 [7451]~P72(x74511)+E(f326(f326(f79(x74511),f326(f326(f8(a920,x74511),x74512),f326(f300(a920),x74513))),f326(x74512,f326(a112,x74513))),f326(f326(f8(a920,x74511),x74512),f326(f300(a920),f326(a112,x74513))))
% 163.42/163.16 [7589]P106(f326(f326(f328(f921(x75891)),x75892),f161(x75891,x75893)))+P106(f326(f326(f328(x75891),f659(x75893,x75892,x75891)),f326(f172(x75891),x75892)))
% 163.42/163.16 [7604]~P106(f326(f326(f328(f921(x76041)),x76042),f161(x76041,f315(x76041,x76043))))+P106(f326(f326(f328(f921(x76041)),x76042),f315(f921(x76041),f157(x76041,x76043))))
% 163.42/163.16 [7629]~P106(f326(f326(f328(f921(x76291)),x76292),f315(f921(x76291),f157(x76291,x76293))))+P106(f326(f326(f328(f921(x76291)),x76292),f161(x76291,f315(x76291,x76293))))
% 163.42/163.16 [7662]E(f326(f326(f326(f183(f921(x76621),f921(x76621)),x76622),f167(x76621)),x76623),x76623)+~P106(f326(f326(f234(a920),f326(f190(f921(x76621)),x76623)),f77(a920)))
% 163.42/163.16 [7695]E(f326(f326(f134(x76951),f755(x76952,x76953,x76951)),f326(f326(f151(x76951),x76953),f757(x76952,x76953,x76951))),x76952)+~P106(f326(f326(f328(x76951),x76953),f326(f172(x76951),x76952)))
% 163.42/163.16 [7696]E(f326(f326(f134(x76961),f761(x76962,x76963,x76961)),f326(f326(f151(x76961),x76963),f762(x76962,x76963,x76961))),x76962)+~P106(f326(f326(f328(x76961),x76963),f326(f172(x76961),x76962)))
% 163.42/163.16 [7697]E(f326(f326(f134(x76971),f763(x76972,x76973,x76971)),f326(f326(f151(x76971),x76973),f764(x76972,x76973,x76971))),x76972)+~P106(f326(f326(f328(x76971),x76973),f326(f172(x76971),x76972)))
% 163.42/163.16 [7718]~P26(x77181,x77182,x77183,f241(f928(x77181,a916)))+P26(f921(x77181),f921(x77182),f326(f154(x77181,x77182),x77183),f241(f928(f921(x77181),a916)))
% 163.42/163.16 [7868]E(x78681,f326(f326(f79(a920),f326(f326(f80(a920),f326(f250(a920,a920),x78682)),x78683)),f326(f255(a920,a920),x78682)))+~P106(f326(f47(x78681,x78683),x78682))
% 163.42/163.16 [7876]P26(x78761,x78762,x78763,f241(f928(x78761,a916)))+~P26(f921(x78761),f921(x78762),f326(f154(x78761,x78762),x78763),f241(f928(f921(x78761),a916)))
% 163.42/163.16 [7920]P106(f326(f326(f328(f928(x79201,a916)),f382(x79202,x79203,x79201)),x79203))+P106(f326(f326(f328(x79201),x79202),f37(f928(x79201,a916),x79203)))
% 163.42/163.16 [8009]P106(f326(f326(f328(f921(x80091)),x80092),f161(x80091,x80093)))+~P106(f326(f326(f328(x80091),f659(x80093,x80092,x80091)),x80093))
% 163.42/163.16 [8110]P33(x81101,x81102,x81103)+~P106(f326(x81102,f326(f326(f164(x81101),x81103),f760(x81103,x81102,x81101))))
% 163.42/163.16 [8135]E(x81351,x81352)+~E(f326(f326(f9(x81353,f928(x81353,a916),a916),f328(x81353)),x81351),f326(f326(f9(x81353,f928(x81353,a916),a916),f328(x81353)),x81352))
% 163.42/163.16 [8143]~P106(f326(f326(f328(f927(x81431,x81431)),x81433),f262(x81431,x81432)))+P106(f326(f326(f328(x81431),f455(x81432,x81433,x81431)),x81432))
% 163.42/163.16 [8145]~P106(f326(f326(f328(x81451),x81453),f36(f928(x81451,a916),x81452)))+P106(f326(f326(f328(f928(x81451,a916)),f340(x81452,x81453,x81451)),x81452))
% 163.42/163.16 [8265]P26(x82651,x82652,f91(x82652,x82651,f241(f928(x82652,a916)),x82653),f241(f928(x82651,a916)))+~E(f326(f309(x82652,x82651,x82653),f241(f928(x82652,a916))),f241(f928(x82651,a916)))
% 163.42/163.16 [8318]~P106(f326(f326(f328(x83181),x83182),f326(f172(x83181),f761(x83183,x83182,x83181))))+~P106(f326(f326(f328(x83181),x83182),f326(f172(x83181),x83183)))
% 163.42/163.16 [8319]~P106(f326(f326(f328(x83191),x83192),f326(f172(x83191),f764(x83193,x83192,x83191))))+~P106(f326(f326(f328(x83191),x83192),f326(f172(x83191),x83193)))
% 163.42/163.16 [8348]P32(f326(f72(a916,a916,a920,a321),x83481),x83482,x83483)+P35(a920,x83481,f139(a920,f326(f301(a920,x83482),x83483)))
% 163.42/163.16 [8508]E(x85081,f113(x85082))+P106(f326(f326(f328(x85082),f326(f250(x85082,f927(a99,a99)),f326(f274(x85082,x85081),x85083))),f326(f172(x85082),x85081)))
% 163.42/163.16 [8606]~P71(x86061)+E(f326(f142(x86061,x86061,f326(f9(x86061,x86061,x86061),f79(x86061)),x86062),f326(f168(x86061),x86063)),f326(f142(x86061,x86061,f79(x86061),x86062),x86063))
% 163.42/163.16 [8797]~P26(x87972,x87971,x87973,f241(f928(x87972,a916)))+E(f326(f309(x87971,x87972,f91(x87972,x87971,f241(f928(x87972,a916)),x87973)),f241(f928(x87971,a916))),f241(f928(x87972,a916)))
% 163.42/163.16 [8869]~P32(f326(f72(a916,a916,a920,a321),x88691),x88692,x88693)+~P35(a920,x88691,f139(a920,f326(f301(a920,x88692),x88693)))
% 163.42/163.16 [9117]~P109(x91171)+E(f326(f172(x91171),f149(x91171,x91171,f7(x91171),x91172,x91173)),f326(f326(f308(x91171),x91172),f326(f172(x91171),x91173)))
% 163.42/163.16 [9126]~E(f326(x91263,f326(f91(x91261,x91262,f241(f928(x91261,a916)),x91263),f811(x91263,x91262,x91261))),f811(x91263,x91262,x91261))+E(f326(f309(x91261,x91262,x91263),f241(f928(x91261,a916))),f241(f928(x91262,a916)))
% 163.42/163.16 [9128]P106(f326(f326(f235(a920),f2(a920)),f622(x91281,x91282,x91283)))+~P106(f326(f326(f328(f927(x91283,x91283)),x91282),f326(f326(f288(x91283,x91283,x91283),x91281),f306(x91283,x91281))))
% 163.42/163.16 [9403]~P59(x94031,x94032)+~P106(f326(f326(f328(f927(x94031,x94031)),f326(f326(f251(x94031,x94031),x94033),x94033)),f326(f326(f288(x94031,x94031,x94031),x94032),f306(x94031,x94032))))
% 163.42/163.16 [9540]~E(f326(f326(f101(f928(f927(x95401,x95401),a916)),f326(f285(x95401,x95401),x95402)),f306(x95401,x95402)),f189(f928(f927(x95401,x95401),a916)))+~P106(f326(f326(f328(f927(x95401,x95401)),f326(f326(f251(x95401,x95401),x95403),x95403)),f326(f326(f288(x95401,x95401,x95401),x95402),f306(x95401,x95402))))
% 163.42/163.16 [9730]~P106(f326(f60(x97301),x97302))+P106(f326(f326(f234(a920),f326(f34(x97301),f326(f326(f3(f928(x97301,a916)),x97302),f326(f326(f308(x97301),x97303),f189(f928(x97301,a916)))))),f326(f34(x97301),x97302)))
% 163.42/163.16 [5250]~E(x52503,f113(x52501))+E(f144(x52501,f326(f326(f151(x52501),x52502),x52503)),x52502)
% 163.42/163.16 [5259]~E(x52593,f113(x52591))+E(f114(x52591,f326(f326(f151(x52591),x52592),x52593)),f113(x52591))
% 163.42/163.16 [5290]E(x52901,f113(x52902))+E(f144(x52902,f326(f326(f151(x52902),x52903),x52901)),f144(x52902,x52901))
% 163.42/163.16 [5292]E(x52921,f113(x52922))+E(f144(x52922,f326(f326(f134(x52922),x52923),x52921)),f144(x52922,x52921))
% 163.42/163.16 [5297]~E(x52973,f113(x52971))+E(f114(x52971,f326(f326(f134(x52971),x52972),x52973)),f114(x52971,x52972))
% 163.42/163.16 [5299]~E(x52993,f113(x52991))+E(f144(x52991,f326(f326(f134(x52991),x52992),x52993)),f144(x52991,x52992))
% 163.42/163.16 [5333]E(x53331,f113(x53332))+E(f326(f141(x53332),f326(f326(f134(x53332),x53331),x53333)),f326(f141(x53332),x53331))
% 163.42/163.16 [5361]~E(x53612,f113(x53611))+E(f326(f141(x53611),f326(f326(f134(x53611),x53612),x53613)),f326(f141(x53611),x53613))
% 163.42/163.16 [5413]~P2(x54131)+E(f326(f326(f110(x54131),x54132),f326(f326(f101(x54131),x54132),x54133)),x54132)
% 163.42/163.16 [5414]~P2(x54141)+E(f326(f326(f101(x54141),x54142),f326(f326(f110(x54141),x54142),x54143)),x54142)
% 163.42/163.16 [5415]~P109(x54151)+E(f326(f326(f188(x54151),x54152),f326(f326(f233(x54151),x54152),x54153)),x54152)
% 163.42/163.16 [5416]~P109(x54161)+E(f326(f326(f233(x54161),x54162),f326(f326(f188(x54161),x54162),x54163)),x54162)
% 163.42/163.16 [5435]~P62(x54351)+E(f44(x54351,f326(f326(f80(x54351),x54352),x54353),x54353),f2(x54351))
% 163.42/163.16 [5436]~P62(x54361)+E(f44(x54361,f326(f326(f80(x54361),x54362),x54363),x54362),f2(x54361))
% 163.42/163.16 [5509]~P69(x55091)+E(f326(f78(x55091),f326(f326(f3(x55091),x55092),x55093)),f326(f326(f3(x55091),x55093),x55092))
% 163.42/163.16 [5571]E(x55711,f113(x55712))+E(f114(x55712,f326(f326(f151(x55712),x55713),x55711)),f326(f326(f151(x55712),x55713),f114(x55712,x55711)))
% 163.42/163.16 [5572]E(x55721,f113(x55722))+E(f114(x55722,f326(f326(f134(x55722),x55723),x55721)),f326(f326(f134(x55722),x55723),f114(x55722,x55721)))
% 163.42/163.16 [5575]~P6(x55751)+E(f36(x55751,f326(f326(f308(x55751),x55752),x55753)),f326(f326(f110(x55751),x55752),f36(x55751,x55753)))
% 163.42/163.16 [5576]~P6(x55761)+E(f37(x55761,f326(f326(f308(x55761),x55762),x55763)),f326(f326(f101(x55761),x55762),f37(x55761,x55763)))
% 163.42/163.16 [5622]~P2(x56221)+E(f326(f326(f110(x56221),x56222),f326(f326(f110(x56221),x56222),x56223)),f326(f326(f110(x56221),x56222),x56223))
% 163.42/163.16 [5624]~P101(x56241)+E(f326(f326(f110(x56241),x56242),f326(f326(f110(x56241),x56242),x56243)),f326(f326(f110(x56241),x56242),x56243))
% 163.42/163.16 [5625]~P97(x56251)+E(f326(f326(f80(x56251),x56252),f326(f326(f80(x56251),x56252),x56253)),f326(f326(f80(x56251),x56252),x56253))
% 163.42/163.16 [5626]~P2(x56261)+E(f326(f326(f101(x56261),x56262),f326(f326(f101(x56261),x56262),x56263)),f326(f326(f101(x56261),x56262),x56263))
% 163.42/163.16 [5628]~P102(x56281)+E(f326(f326(f101(x56281),x56282),f326(f326(f101(x56281),x56282),x56283)),f326(f326(f101(x56281),x56282),x56283))
% 163.42/163.16 [5630]~P109(x56301)+E(f326(f326(f188(x56301),x56302),f326(f326(f188(x56301),x56302),x56303)),f326(f326(f188(x56301),x56302),x56303))
% 163.42/163.16 [5632]~P109(x56321)+E(f326(f326(f233(x56321),x56322),f326(f326(f233(x56321),x56322),x56323)),f326(f326(f233(x56321),x56322),x56323))
% 163.42/163.16 [5639]~P62(x56391)+E(f44(x56391,f326(f326(f79(x56391),x56392),x56393),x56393),f44(x56391,x56392,x56393))
% 163.42/163.16 [5640]~P62(x56401)+E(f44(x56401,f326(f326(f79(x56401),x56402),x56403),x56402),f44(x56401,x56403,x56402))
% 163.42/163.16 [5648]~P111(x56481)+E(f326(f326(f80(x56481),x56482),f326(f78(x56481),x56483)),f326(f78(x56481),f326(f326(f80(x56481),x56482),x56483)))
% 163.42/163.16 [5649]~P65(x56491)+E(f326(f326(f290(x56491),x56492),f326(f78(x56491),x56493)),f326(f78(x56491),f326(f326(f290(x56491),x56492),x56493)))
% 163.42/163.16 [5650]~P83(x56501)+E(f326(f326(f79(x56501),x56502),f326(f165(x56501),x56503)),f326(f165(x56501),f326(f326(f151(x56501),x56502),x56503)))
% 163.42/163.16 [5678]~P111(x56781)+E(f326(f326(f80(x56781),f326(f78(x56781),x56782)),x56783),f326(f326(f80(x56781),x56782),f326(f78(x56781),x56783)))
% 163.42/163.16 [5684]~P9(x56841,x56842,x56843)+E(f36(f928(x56841,a916),f326(f326(f59(x56841),x56842),x56843)),x56842)
% 163.42/163.16 [5752]~P116(x57521)+E(f326(f326(f80(x57521),x57522),f326(f326(f243(x57521),x57522),x57523)),f326(f326(f243(x57521),x57522),f326(a112,x57523)))
% 163.42/163.16 [5753]~P113(x57531)+E(f326(f326(f80(x57531),x57532),f326(f326(f243(x57531),x57532),x57533)),f326(f326(f243(x57531),x57532),f326(a112,x57533)))
% 163.42/163.16 [5763]~P76(x57631)+E(f326(f326(f79(x57631),f326(f78(x57631),x57632)),f326(f326(f79(x57631),x57632),x57633)),x57633)
% 163.42/163.16 [5786]~P146(x57861)+E(f326(f326(f243(x57861),f326(f100(x57861),x57862)),x57863),f326(f100(x57861),f326(f326(f243(a920),x57862),x57863)))
% 163.42/163.16 [5787]~P143(x57871)+E(f326(f326(f243(x57871),f326(f102(x57871),x57872)),x57873),f326(f102(x57871),f326(f326(f243(a1),x57872),x57873)))
% 163.42/163.16 [5793]~P87(x57931)+E(f326(f75(x57931),f326(f326(f3(x57931),x57932),x57933)),f326(f75(x57931),f326(f326(f3(x57931),x57933),x57932)))
% 163.42/163.16 [5795]~P120(x57951)+E(f326(f326(f80(x57951),f81(x57951,x57952)),f81(x57951,x57953)),f81(x57951,f326(f326(f80(x57951),x57952),x57953)))
% 163.42/163.16 [5799]E(x57991,f113(x57992))+E(f326(f326(f134(x57992),f326(f171(x57992),x57991)),x57993),f326(f171(x57992),f326(f326(f134(x57992),x57991),x57993)))
% 163.42/163.16 [5804]~E(x58042,f326(a112,f326(f326(f79(a920),x58041),x58043)))+P106(f326(f326(f235(a920),x58041),x58042))
% 163.42/163.16 [5805]~P120(x58051)+E(f326(f326(f243(x58051),f326(f75(x58051),x58052)),x58053),f326(f75(x58051),f326(f326(f243(x58051),x58052),x58053)))
% 163.42/163.16 [5806]~P111(x58061)+E(f326(f326(f80(x58061),f326(f78(x58061),x58062)),x58063),f326(f78(x58061),f326(f326(f80(x58061),x58062),x58063)))
% 163.42/163.16 [5807]~P124(x58071)+E(f326(f326(f290(x58071),f326(f78(x58071),x58072)),x58073),f326(f78(x58071),f326(f326(f290(x58071),x58072),x58073)))
% 163.42/163.16 [5905]E(f597(x59051,x59052,x59053),f600(x59051,x59052,x59053))+E(f326(f326(f101(f928(x59053,a916)),x59052),x59051),f189(f928(x59053,a916)))
% 163.42/163.16 [5920]~P72(x59202)+E(f326(f326(f8(x59201,x59202),f326(f18(x59202,x59201),f2(x59202))),x59203),f2(x59202))
% 163.42/163.16 [5921]~P77(x59212)+E(f326(f326(f11(x59211,x59212),f326(f18(x59212,x59211),f77(x59212))),x59213),f77(x59212))
% 163.42/163.16 [5923]~P94(x59231)+E(f326(f326(f3(x59231),f326(f103(x59231),x59232)),f326(f103(x59231),x59233)),f326(f103(x59231),f326(f326(f3(a1),x59232),x59233)))
% 163.42/163.16 [5926]~P146(x59261)+E(f326(f326(f80(x59261),f326(f100(x59261),x59262)),f326(f100(x59261),x59263)),f326(f100(x59261),f326(f326(f80(a920),x59262),x59263)))
% 163.42/163.16 [5927]~P146(x59271)+E(f326(f326(f79(x59271),f326(f100(x59271),x59272)),f326(f100(x59271),x59273)),f326(f100(x59271),f326(f326(f79(a920),x59272),x59273)))
% 163.42/163.16 [5928]~P143(x59281)+E(f326(f326(f3(x59281),f326(f102(x59281),x59282)),f326(f102(x59281),x59283)),f326(f102(x59281),f326(f326(f3(a1),x59282),x59283)))
% 163.42/163.16 [5929]~P143(x59291)+E(f326(f326(f80(x59291),f326(f102(x59291),x59292)),f326(f102(x59291),x59293)),f326(f102(x59291),f326(f326(f80(a1),x59292),x59293)))
% 163.42/163.16 [5930]~P143(x59301)+E(f326(f326(f79(x59301),f326(f102(x59301),x59302)),f326(f102(x59301),x59303)),f326(f102(x59301),f326(f326(f79(a1),x59302),x59303)))
% 163.42/163.16 [5931]~P94(x59311)+E(f326(f326(f80(x59311),f326(f103(x59311),x59312)),f326(f103(x59311),x59313)),f326(f103(x59311),f326(f326(f80(a1),x59312),x59313)))
% 163.42/163.16 [5932]~P94(x59321)+E(f326(f326(f79(x59321),f326(f103(x59321),x59322)),f326(f103(x59321),x59323)),f326(f103(x59321),f326(f326(f79(a1),x59322),x59323)))
% 163.42/163.16 [5980]~E(x59803,x59802)+P106(f326(f326(f234(f928(x59801,a916)),x59802),x59803))
% 163.42/163.16 [5986]~E(x59862,x59863)+P106(f326(f326(f234(f928(x59861,a916)),x59862),x59863))
% 163.42/163.16 [5991]~P120(x59911)+E(f326(f326(f80(x59911),f326(f75(x59911),x59912)),f326(f75(x59911),x59913)),f326(f75(x59911),f326(f326(f80(x59911),x59912),x59913)))
% 163.42/163.16 [5992]~P67(x59921)+E(f326(f326(f290(x59921),f326(f75(x59921),x59922)),f326(f75(x59921),x59923)),f326(f75(x59921),f326(f326(f290(x59921),x59922),x59923)))
% 163.42/163.16 [5993]~P96(x59931)+E(f326(f326(f101(x59931),f326(f78(x59931),x59932)),f326(f78(x59931),x59933)),f326(f78(x59931),f326(f326(f110(x59931),x59932),x59933)))
% 163.42/163.16 [5994]~P96(x59941)+E(f326(f326(f110(x59941),f326(f78(x59941),x59942)),f326(f78(x59941),x59943)),f326(f78(x59941),f326(f326(f101(x59941),x59942),x59943)))
% 163.42/163.16 [5995]~P76(x59951)+E(f326(f326(f79(x59951),f326(f78(x59951),x59952)),f326(f78(x59951),x59953)),f326(f78(x59951),f326(f326(f79(x59951),x59953),x59952)))
% 163.42/163.16 [5996]~P69(x59961)+E(f326(f326(f79(x59961),f326(f78(x59961),x59962)),f326(f78(x59961),x59963)),f326(f78(x59961),f326(f326(f79(x59961),x59962),x59963)))
% 163.42/163.16 [5997]~P78(x59971)+E(f326(f326(f233(x59971),f326(f78(x59971),x59972)),f326(f78(x59971),x59973)),f326(f78(x59971),f326(f326(f188(x59971),x59972),x59973)))
% 163.42/163.16 [5998]~P78(x59981)+E(f326(f326(f188(x59981),f326(f78(x59981),x59982)),f326(f78(x59981),x59983)),f326(f78(x59981),f326(f326(f233(x59981),x59982),x59983)))
% 163.42/163.16 [5999]~P83(x59991)+E(f326(f326(f79(x59991),f326(f165(x59991),x59992)),f326(f165(x59991),x59993)),f326(f165(x59991),f326(f326(f134(x59991),x59992),x59993)))
% 163.42/163.16 [6000]E(x60001,f189(f928(x60002,a916)))+~E(f326(f326(f110(f928(x60002,a916)),x60003),x60001),f189(f928(x60002,a916)))
% 163.42/163.16 [6001]E(x60011,f189(f928(x60012,a916)))+~E(f326(f326(f110(f928(x60012,a916)),x60011),x60013),f189(f928(x60012,a916)))
% 163.42/163.16 [6002]~P149(x60021,x60023,x60022)+P106(f326(x60021,f326(f326(f35(a1),x60022),x60023)))
% 163.42/163.16 [6058]~P106(f326(f60(x60581),x60583))+P106(f326(f60(x60581),f326(f326(f308(x60581),x60582),x60583)))
% 163.42/163.16 [6059]~P106(f326(f137(x60591),x60593))+P106(f326(f137(x60591),f326(f326(f175(x60591),x60592),x60593)))
% 163.42/163.16 [6060]~P106(f326(f137(x60601),x60603))+P106(f326(f137(x60601),f326(f326(f138(x60601),x60602),x60603)))
% 163.42/163.16 [6092]~P2(x60921)+P106(f326(f326(f234(x60921),x60922),f326(f326(f110(x60921),x60923),x60922)))
% 163.42/163.16 [6093]~P101(x60931)+P106(f326(f326(f234(x60931),x60932),f326(f326(f110(x60931),x60933),x60932)))
% 163.42/163.16 [6094]~P2(x60941)+P106(f326(f326(f234(x60941),x60942),f326(f326(f110(x60941),x60942),x60943)))
% 163.42/163.16 [6095]~P101(x60951)+P106(f326(f326(f234(x60951),x60952),f326(f326(f110(x60951),x60952),x60953)))
% 163.42/163.16 [6096]~P109(x60961)+P106(f326(f326(f234(x60961),x60962),f326(f326(f233(x60961),x60963),x60962)))
% 163.42/163.16 [6097]~P109(x60971)+P106(f326(f326(f234(x60971),x60972),f326(f326(f233(x60971),x60972),x60973)))
% 163.42/163.16 [6098]~P113(x60981)+P106(f326(f326(f286(x60981),x60982),f326(f326(f80(x60981),x60983),x60982)))
% 163.42/163.16 [6099]~P113(x60991)+P106(f326(f326(f286(x60991),x60992),f326(f326(f80(x60991),x60992),x60993)))
% 163.42/163.16 [6113]~E(x61131,f2(a920))+E(f326(f326(f35(a920),f326(f326(f80(a920),x61131),x61132)),f326(f326(f80(a920),x61131),x61133)),f2(a920))
% 163.42/163.16 [6194]~P94(x61941)+E(f326(f326(f3(x61941),f326(f103(x61941),x61942)),f326(f103(x61941),x61943)),f326(f103(x61941),f326(f326(f79(a1),x61942),f326(f78(a1),x61943))))
% 163.42/163.16 [6254]E(x62541,f2(a920))+E(f326(f326(f35(a920),f326(f326(f80(a920),x62541),x62542)),f326(f326(f80(a920),x62541),x62543)),f326(f326(f35(a920),x62542),x62543))
% 163.42/163.16 [6287]E(f152(x62871,f326(f326(f151(x62871),x62872),x62873)),f326(f326(f151(x62871),x62872),f152(x62871,x62873)))+P106(f326(f326(f328(x62871),x62872),f326(f172(x62871),x62873)))
% 163.42/163.16 [6324]P149(x63241,x63242,x63243)+~P106(f326(x63241,f326(f326(f35(a1),x63243),x63242)))
% 163.42/163.16 [6398]E(x63981,f113(x63982))+E(f326(f326(f151(x63982),f326(f141(x63982),x63981)),f326(f326(f175(x63982),x63983),f326(f171(x63982),x63981))),f326(f326(f175(x63982),f326(a112,x63983)),x63981))
% 163.42/163.16 [6405]E(f326(f326(f3(f928(x64051,a916)),x64052),x64053),x64052)+~E(f326(f326(f101(f928(x64051,a916)),x64052),x64053),f189(f928(x64051,a916)))
% 163.42/163.16 [6419]E(f152(x64191,f326(f326(f151(x64191),x64192),x64193)),f152(x64191,x64193))+~P106(f326(f326(f328(x64191),x64192),f326(f172(x64191),x64193)))
% 163.42/163.16 [6449]~P106(f326(f326(f234(a920),x64491),x64493))+P106(f326(f326(f234(a920),x64491),f326(f326(f79(a920),x64492),x64493)))
% 163.42/163.16 [6451]~P106(f326(f326(f234(a920),x64511),x64512))+P106(f326(f326(f234(a920),x64511),f326(f326(f79(a920),x64512),x64513)))
% 163.42/163.16 [6453]~P106(f326(f326(f235(a920),x64531),x64533))+P106(f326(f326(f235(a920),x64531),f326(f326(f79(a920),x64532),x64533)))
% 163.42/163.16 [6455]~P106(f326(f326(f235(a920),x64551),x64552))+P106(f326(f326(f235(a920),x64551),f326(f326(f79(a920),x64552),x64553)))
% 163.42/163.16 [6494]P106(f326(f60(x64941),x64942))+~P106(f326(f60(x64941),f326(f326(f308(x64941),x64943),x64942)))
% 163.42/163.16 [6495]P106(f326(f137(x64951),x64952))+~P106(f326(f137(x64951),f326(f326(f151(x64951),x64953),x64952)))
% 163.42/163.16 [6496]P106(f326(f137(x64961),x64962))+~P106(f326(f137(x64961),f326(f326(f134(x64961),x64963),x64962)))
% 163.42/163.16 [6497]P106(f326(f137(x64971),x64972))+~P106(f326(f137(x64971),f326(f326(f134(x64971),x64972),x64973)))
% 163.42/163.16 [6551]~P113(x65511)+E(f326(f326(f79(x65511),x65512),f326(f326(f80(x65511),x65513),x65512)),f326(f326(f80(x65511),f326(f326(f79(x65511),x65513),f77(x65511))),x65512))
% 163.42/163.16 [6598]~E(x65981,x65982)+~P106(f326(f326(f235(f928(x65983,a916)),x65981),x65982))
% 163.42/163.16 [6641]P106(f326(f326(f328(x66411),x66412),x66413))+P106(f326(f326(f328(x66411),x66412),f326(f78(f928(x66411,a916)),x66413)))
% 163.42/163.16 [6647]E(f144(x66471,f326(f326(f138(x66471),x66472),x66473)),f144(x66471,x66473))+~P106(f326(f326(f235(a920),x66472),f326(f190(f921(x66471)),x66473)))
% 163.42/163.16 [6648]E(f326(f326(f175(x66481),x66482),f114(x66481,x66483)),f326(f326(f175(x66481),x66482),x66483))+~P106(f326(f326(f235(a920),x66482),f326(f190(f921(x66481)),x66483)))
% 163.42/163.16 [6705]E(f326(f326(f326(f183(f921(x67051),f921(x67051)),x67052),f167(x67051)),x67053),x67053)+~E(f44(a920,x67052,f326(f190(f921(x67051)),x67053)),f2(a920))
% 163.42/163.16 [6712]~P9(x67121,x67123,x67122)+E(f326(f326(f288(x67121,x67121,x67121),f326(f285(x67121,x67121),x67122)),x67122),x67122)
% 163.42/163.16 [6755]~E(f326(f326(f110(f928(x67551,a916)),x67552),x67553),x67553)+P106(f326(f326(f234(f928(x67551,a916)),x67552),x67553))
% 163.42/163.16 [6760]~P56(x67601,x67601,x67603)+P56(x67601,x67601,f326(f326(f183(f927(x67601,x67601),a916),x67602),x67603))
% 163.42/163.16 [6763]~P106(f326(f326(f328(x67631),x67633),f326(f172(x67631),x67632)))+P106(f326(f326(f235(a920),f2(a920)),f326(f190(f921(x67631)),x67632)))
% 163.42/163.16 [6791]~P87(x67911)+E(f326(f75(x67911),f326(f326(f79(x67911),f326(f75(x67911),x67912)),f326(f75(x67911),x67913))),f326(f326(f79(x67911),f326(f75(x67911),x67912)),f326(f75(x67911),x67913)))
% 163.42/163.16 [6801]E(f326(f326(f35(a920),f326(f326(f80(a920),x68011),x68012)),f326(f326(f80(a920),x68011),x68013)),f326(f326(f35(a920),x68012),x68013))+~P106(f326(f326(f235(a920),f2(a920)),x68011))
% 163.42/163.16 [6941]~P106(f326(f60(x69411),x69413))+E(f326(f326(f63(x69411,f928(x69411,a916),f308(x69411)),x69412),x69413),f326(f326(f110(f928(x69411,a916)),x69413),x69412))
% 163.42/163.16 [6997]E(f326(f326(f110(f928(x69971,a916)),x69972),x69973),x69972)+~P106(f326(f326(f234(f928(x69971,a916)),x69973),x69972))
% 163.42/163.16 [6999]E(f326(f326(f110(f928(x69991,a916)),x69992),x69993),x69993)+~P106(f326(f326(f234(f928(x69991,a916)),x69992),x69993))
% 163.42/163.16 [7000]E(f326(f326(f101(f928(x70001,a916)),x70002),x70003),x70003)+~P106(f326(f326(f234(f928(x70001,a916)),x70003),x70002))
% 163.42/163.16 [7001]E(f326(f326(f101(f928(x70011,a916)),x70012),x70013),x70012)+~P106(f326(f326(f234(f928(x70011,a916)),x70012),x70013))
% 163.42/163.16 [7050]~P106(f326(f137(x70501),x70502))+E(f326(f326(f3(f928(x70501,a916)),f326(f172(x70501),x70502)),f326(f326(f308(x70501),x70503),f189(f928(x70501,a916)))),f326(f172(x70501),f170(x70501,x70503,x70502)))
% 163.42/163.16 [7105]P39(x71051,x71052)+~P39(x71051,f326(f326(f183(f927(x71051,x71051),a916),x71053),x71052))
% 163.42/163.16 [7121]~E(x71211,f2(a920))+P106(f326(f326(f286(a920),f326(f326(f80(a920),x71211),x71212)),f326(f326(f80(a920),x71211),x71213)))
% 163.42/163.16 [7171]P106(f326(f48(x71711,x71712),f326(a50,x71713)))+~P106(f326(f48(f326(f78(a1),x71711),f326(f78(a1),x71712)),x71713))
% 163.42/163.16 [7176]E(f326(f326(f3(f928(x71761,a916)),f326(f326(f308(x71761),x71762),x71763)),f326(f326(f308(x71761),x71762),f189(f928(x71761,a916)))),x71763)+P106(f326(f326(f328(x71761),x71762),x71763))
% 163.42/163.16 [7197]E(f326(f326(f101(f928(x71971,a916)),f326(f172(x71971),x71972)),f326(f172(x71971),x71973)),f189(f928(x71971,a916)))+~P106(f326(f137(x71971),f326(f326(f134(x71971),x71972),x71973)))
% 163.42/163.16 [7212]~P106(f326(f326(f328(x72121),x72122),f326(f172(x72121),x72123)))+~P106(f326(f137(x72121),f326(f326(f151(x72121),x72122),x72123)))
% 163.42/163.16 [7284]P33(x72841,x72842,x72843)+P106(f326(f326(f235(a920),f760(x72843,x72842,x72841)),f326(f190(f921(x72841)),x72843)))
% 163.42/163.16 [7294]E(f326(f326(f101(f928(x72941,a916)),x72942),x72943),f189(f928(x72941,a916)))+P106(f326(f326(f328(x72941),f597(x72943,x72942,x72941)),x72942))
% 163.42/163.16 [7295]E(f326(f326(f101(f928(x72951,a916)),x72952),x72953),f189(f928(x72951,a916)))+P106(f326(f326(f328(x72951),f600(x72953,x72952,x72951)),x72953))
% 163.42/163.16 [7298]E(f114(x72981,f326(f326(f175(x72981),x72982),x72983)),f326(f326(f175(x72981),f326(f326(f3(a920),x72982),f77(a920))),x72983))+~P106(f326(f326(f234(a920),x72982),f326(f190(f921(x72981)),x72983)))
% 163.42/163.16 [7358]~P35(x73583,x73582,x73581)+P106(f326(f326(f235(a920),f754(x73581,x73582,x73583)),f326(f190(f921(x73583)),x73581)))
% 163.42/163.16 [7378]P106(f326(f326(f235(a920),f2(a920)),x73781))+P106(f326(f326(f234(a920),f326(f326(f80(a920),x73782),x73781)),f326(f326(f80(a920),x73783),x73781)))
% 163.42/163.16 [7379]P106(f326(f326(f235(a920),f2(a920)),x73791))+P106(f326(f326(f234(a920),f326(f326(f80(a920),x73791),x73792)),f326(f326(f80(a920),x73791),x73793)))
% 163.42/163.16 [7382]~P106(f326(f326(f328(x73821),x73822),x73823))+~P106(f326(f326(f328(x73821),x73822),f326(f78(f928(x73821,a916)),x73823)))
% 163.42/163.16 [7388]~P106(f326(f326(f235(f928(x73881,a916)),x73882),x73883))+P106(f326(f326(f234(f928(x73881,a916)),x73882),x73883))
% 163.42/163.16 [7496]~P106(f326(f326(f234(a920),x74963),x74962))+P106(f326(f326(f234(a920),f326(f326(f3(a920),x74961),x74962)),f326(f326(f3(a920),x74961),x74963)))
% 163.42/163.16 [7497]~P106(f326(f326(f234(a920),x74971),x74973))+P106(f326(f326(f234(a920),f326(f326(f3(a920),x74971),x74972)),f326(f326(f3(a920),x74973),x74972)))
% 163.42/163.16 [7499]~P106(f326(f326(f234(a920),x74992),x74993))+P106(f326(f326(f234(a920),f326(f326(f80(a920),x74991),x74992)),f326(f326(f80(a920),x74991),x74993)))
% 163.42/163.16 [7501]~P106(f326(f326(f234(a920),x75011),x75013))+P106(f326(f326(f234(a920),f326(f326(f80(a920),x75011),x75012)),f326(f326(f80(a920),x75013),x75012)))
% 163.42/163.16 [7502]~P106(f326(f326(f234(a920),x75022),x75023))+P106(f326(f326(f234(a920),f326(f326(f79(a920),x75021),x75022)),f326(f326(f79(a920),x75021),x75023)))
% 163.42/163.16 [7503]~P106(f326(f326(f234(a920),x75031),x75033))+P106(f326(f326(f234(a920),f326(f326(f79(a920),x75031),x75032)),f326(f326(f79(a920),x75033),x75032)))
% 163.42/163.16 [7504]~P106(f326(f326(f234(a920),x75041),x75043))+P106(f326(f326(f234(a920),f326(f326(f35(a920),x75041),x75042)),f326(f326(f35(a920),x75043),x75042)))
% 163.42/163.16 [7505]~P106(f326(f326(f234(a1),x75052),x75053))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x75051),x75052)),f326(f326(f79(a1),x75051),x75053)))
% 163.42/163.16 [7508]~P106(f326(f326(f235(a920),x75082),x75083))+P106(f326(f326(f235(a920),f326(f326(f79(a920),x75081),x75082)),f326(f326(f79(a920),x75081),x75083)))
% 163.42/163.16 [7509]~P106(f326(f326(f235(a920),x75091),x75093))+P106(f326(f326(f235(a920),f326(f326(f79(a920),x75091),x75092)),f326(f326(f79(a920),x75093),x75092)))
% 163.42/163.16 [7510]~P106(f326(f326(f235(a1),x75101),x75103))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x75101),x75102)),f326(f326(f79(a1),x75103),x75102)))
% 163.42/163.16 [7513]~P106(f326(f326(f286(a920),x75132),x75133))+P106(f326(f326(f286(a920),f326(f326(f80(a920),x75131),x75132)),f326(f326(f80(a920),x75131),x75133)))
% 163.42/163.16 [7588]E(x75881,x75882)+~P106(f326(f326(f328(x75883),x75881),f326(f326(f308(x75883),x75882),f189(f928(x75883,a916)))))
% 163.42/163.16 [7590]~E(f326(f326(f101(f928(x75901,a916)),x75902),x75903),f189(f928(x75901,a916)))+P106(f326(f326(f234(f928(x75901,a916)),x75902),f326(f78(f928(x75901,a916)),x75903)))
% 163.42/163.16 [7595]P106(f326(f326(f328(f928(x75951,a916)),x75952),f326(f307(x75951),x75953)))+~P106(f326(f326(f234(f928(x75951,a916)),x75952),x75953))
% 163.42/163.16 [7600]P106(f326(f326(f328(x76001),f444(x76002,x76003,x76001)),x76003))+P106(f326(f326(f234(f928(x76001,a916)),x76003),x76002))
% 163.42/163.16 [7646]E(f326(f326(f151(x76461),f326(f326(f164(x76461),x76462),x76463)),f326(f326(f138(x76461),f326(a112,x76463)),x76462)),f326(f326(f138(x76461),x76463),x76462))+~P106(f326(f326(f235(a920),x76463),f326(f190(f921(x76461)),x76462)))
% 163.42/163.16 [7672]P106(f326(f326(f328(f927(x76721,x76721)),x76722),f306(x76721,x76723)))+~P106(f326(f326(f328(f927(x76721,x76721)),x76722),x76723))
% 163.42/163.16 [7681]~P106(f326(f326(f328(f928(x76811,a916)),x76812),f326(f307(x76811),x76813)))+P106(f326(f326(f234(f928(x76811,a916)),x76812),x76813))
% 163.42/163.16 [7724]P106(f326(f326(f234(f928(x77241,a916)),x77242),f36(f928(x77241,a916),x77243)))+~P106(f326(f326(f328(f928(x77241,a916)),x77242),x77243))
% 163.42/163.16 [7748]~P143(x77481)+E(f326(f326(f80(x77481),f326(f326(f243(x77481),f326(f78(x77481),f77(x77481))),x77482)),f326(f326(f243(x77481),x77483),x77482)),f326(f326(f243(x77481),f326(f78(x77481),x77483)),x77482))
% 163.42/163.16 [7770]E(f326(f326(f164(x77701),x77702),f326(f326(f3(a920),f326(f190(f921(x77701)),x77702)),f326(a112,x77703))),f326(f326(f164(x77701),f326(f168(x77701),x77702)),x77703))+~P106(f326(f326(f235(a920),x77703),f326(f190(f921(x77701)),x77702)))
% 163.42/163.16 [7787]~E(f326(f326(f101(f928(x77871,a916)),f881(x77873,x77872,x77871)),x77873),f189(f928(x77871,a916)))+E(f326(f326(f101(f928(x77871,a916)),f36(f928(x77871,a916),x77872)),x77873),f189(f928(x77871,a916)))
% 163.42/163.16 [7851]~P106(f326(f326(f328(x78513),x78512),f326(f172(x78513),x78511)))+P106(f326(f326(f235(a920),f638(x78511,x78512,x78513)),f326(f190(f921(x78513)),x78511)))
% 163.42/163.16 [7859]P106(f326(f326(f328(x78591),f326(f326(f164(x78591),x78592),x78593)),f326(f172(x78591),x78592)))+~P106(f326(f326(f235(a920),x78593),f326(f190(f921(x78591)),x78592)))
% 163.42/163.16 [7956]~P106(f326(x79562,f720(x79563,x79562,x79561)))+E(f326(f326(f138(x79561),f326(f190(f921(x79561)),f177(x79561,x79562,x79563))),x79563),f113(x79561))
% 163.42/163.16 [7969]P106(f326(f326(f234(f928(f921(x79691),a916)),f161(x79691,x79692)),f161(x79691,x79693)))+~P106(f326(f326(f234(f928(x79691,a916)),x79692),x79693))
% 163.42/163.16 [7970]P106(f326(f326(f234(f928(f921(x79701),a916)),f160(x79701,x79702)),f160(x79701,x79703)))+~P106(f326(f326(f234(f928(x79701,a916)),x79702),x79703))
% 163.42/163.16 [7996]E(f326(f326(f101(f928(x79961,a916)),f36(f928(x79961,a916),x79962)),x79963),f189(f928(x79961,a916)))+P106(f326(f326(f328(f928(x79961,a916)),f881(x79963,x79962,x79961)),x79962))
% 163.42/163.16 [7998]~P106(f326(f326(f328(f928(x79981,a916)),x79983),x79982))+P106(f326(f326(f234(f928(x79981,a916)),f37(f928(x79981,a916),x79982)),x79983))
% 163.42/163.16 [8000]E(f326(f326(f101(f928(x80001,a916)),x80002),x80003),f189(f928(x80001,a916)))+~P106(f326(f326(f234(f928(x80001,a916)),x80002),f326(f78(f928(x80001,a916)),x80003)))
% 163.42/163.16 [8048]E(f326(f326(f3(a920),f326(f326(f79(a920),f326(f165(a920),x80481)),x80482)),f326(f326(f164(a920),x80481),x80483)),f326(f165(a920),f326(f326(f159(a920,x80481),x80483),x80482)))+~P106(f326(f326(f235(a920),x80483),f326(f190(f921(a920)),x80481)))
% 163.42/163.16 [8099]P106(f326(f326(f234(a920),x80991),x80992))+~P106(f326(f326(f234(a920),f326(f326(f79(a920),x80993),x80991)),f326(f326(f79(a920),x80993),x80992)))
% 163.42/163.16 [8102]P106(f326(f326(f235(a920),x81021),x81022))+~P106(f326(f326(f235(a920),f326(f326(f79(a920),x81023),x81021)),f326(f326(f79(a920),x81023),x81022)))
% 163.42/163.16 [8103]P106(f326(f326(f235(a920),x81031),x81032))+~P106(f326(f326(f235(a920),f326(f326(f80(a920),x81033),x81031)),f326(f326(f80(a920),x81033),x81032)))
% 163.42/163.16 [8104]P106(f326(f326(f235(a920),x81041),x81042))+~P106(f326(f326(f235(a920),f326(f326(f80(a920),x81041),x81043)),f326(f326(f80(a920),x81042),x81043)))
% 163.42/163.16 [8133]P106(f326(f326(f235(a920),f2(a920)),x81331))+~P106(f326(f326(f235(a920),f326(f326(f80(a920),x81332),x81331)),f326(f326(f80(a920),x81333),x81331)))
% 163.42/163.16 [8134]P106(f326(f326(f235(a920),f2(a920)),x81341))+~P106(f326(f326(f235(a920),f326(f326(f80(a920),x81341),x81342)),f326(f326(f80(a920),x81341),x81343)))
% 163.42/163.16 [8172]~P106(f326(f326(f328(x81721),f444(x81723,x81722,x81721)),x81723))+P106(f326(f326(f234(f928(x81721,a916)),x81722),x81723))
% 163.42/163.16 [8208]E(f246(x82081,x82082,x82083),x82082)+~P106(f326(f326(f234(f928(x82081,a916)),x82083),f326(f326(f308(x82081),x82082),f189(f928(x82081,a916)))))
% 163.42/163.16 [8258]~P106(f326(f137(x82581),x82583))+E(f326(f136(x82581,f326(f326(f10(a916,a916,x82581),a321),f326(a323,x82582))),x82583),f170(x82581,x82582,x82583))
% 163.42/163.16 [8283]E(f326(f326(f138(x82831),f326(f190(f921(x82831)),f177(x82831,x82832,x82833))),x82833),f113(x82831))+P106(f326(f326(f328(x82831),f720(x82833,x82832,x82831)),f326(f172(x82831),x82833)))
% 163.42/163.16 [8287]E(f326(f326(f134(x82871),f326(f326(f175(x82871),x82872),x82873)),f326(f326(f151(x82871),f326(f326(f164(x82871),x82873),x82872)),f113(x82871))),f326(f326(f175(x82871),f326(a112,x82872)),x82873))+~P106(f326(f326(f235(a920),x82872),f326(f190(f921(x82871)),x82873)))
% 163.42/163.16 [8353]E(f326(f136(x83531,f326(f326(f10(a916,a916,x83531),a321),f326(a323,x83532))),x83533),x83533)+P106(f326(f326(f328(x83531),x83532),f326(f172(x83531),x83533)))
% 163.42/163.16 [8359]P106(f326(f326(f234(f928(f928(x83591,a916),a916)),f247(x83591,x83592)),f247(x83591,x83593)))+~P106(f326(f326(f234(f928(x83591,a916)),x83592),x83593))
% 163.42/163.16 [8398]~P106(f326(f137(x83981),x83983))+P106(f326(f137(x83981),f326(f326(f326(f183(f921(x83981),f921(x83981)),x83982),f167(x83981)),x83983)))
% 163.42/163.16 [8404]~P106(f326(f326(f235(a920),x84042),x84043))+P106(f326(f326(f235(a920),f326(f326(f80(a920),f326(a112,x84041)),x84042)),f326(f326(f80(a920),f326(a112,x84041)),x84043)))
% 163.42/163.16 [8424]P106(f326(f326(f234(f928(f928(x84241,a916),a916)),f326(f307(x84241),x84242)),f326(f307(x84241),x84243)))+~P106(f326(f326(f234(f928(x84241,a916)),x84242),x84243))
% 163.42/163.16 [8493]~E(f326(f309(x84931,x84932,x84933),f241(f928(x84931,a916))),f241(f928(x84932,a916)))+E(f326(f72(x84931,x84932,x84932,x84933),f91(x84931,x84932,f241(f928(x84931,a916)),x84933)),f31(x84932))
% 163.42/163.16 [8586]~P106(f326(f326(f234(f928(x85861,a916)),x85863),x85862))+P106(f326(f326(f234(f928(x85861,a916)),f326(f78(f928(x85861,a916)),x85862)),f326(f78(f928(x85861,a916)),x85863)))
% 163.42/163.16 [8619]E(f326(f309(a920,a920,f326(f326(f9(a920,a920,a920),f3(a920)),x86191)),f326(f301(a920,x86192),x86193)),f326(f301(a920,f326(f326(f3(a920),x86192),x86191)),f326(f326(f3(a920),x86193),x86191)))+~P106(f326(f326(f235(a920),x86191),x86193))
% 163.42/163.16 [8645]~P83(x86451)+E(f326(f326(f79(x86451),x86452),f326(f142(x86451,x86451,f79(x86451),f2(x86451)),x86453)),f326(f142(x86451,x86451,f79(x86451),x86452),x86453))
% 163.42/163.16 [8721]~P87(x87211)+P106(f326(f326(f234(x87211),f326(f75(x87211),f326(f326(f3(x87211),x87212),x87213))),f326(f326(f79(x87211),f326(f75(x87211),x87212)),f326(f75(x87211),x87213))))
% 163.42/163.16 [8722]~P87(x87221)+P106(f326(f326(f234(x87221),f326(f75(x87221),f326(f326(f79(x87221),x87222),x87223))),f326(f326(f79(x87221),f326(f75(x87221),x87222)),f326(f75(x87221),x87223))))
% 163.42/163.16 [8733]E(f326(f326(f79(a1),f326(f326(f80(a1),x87331),f44(a1,f326(f326(f35(a1),x87332),x87331),x87333))),f44(a1,x87332,x87331)),f44(a1,x87332,f326(f326(f80(a1),x87331),x87333)))+~P106(f326(f326(f235(a1),f2(a1)),x87333))
% 163.42/163.16 [8739]E(f326(f326(f134(x87391),f326(f326(f175(x87391),x87392),x87393)),f326(f326(f151(x87391),f326(f141(x87391),f326(f326(f138(x87391),x87392),x87393))),f113(x87391))),f326(f326(f175(x87391),f326(a112,x87392)),x87393))+~P106(f326(f326(f235(a920),x87392),f326(f190(f921(x87391)),x87393)))
% 163.42/163.16 [8759]E(f326(f267(x87591,f326(f326(f154(x87591,f927(a99,x87591)),f326(f251(a99,x87591),f77(a99))),x87592)),f326(a5,x87593)),f326(f326(f164(x87591),x87592),x87593))+~P106(f326(f326(f235(a920),x87593),f326(f190(f921(x87591)),x87592)))
% 163.42/163.16 [8827]P106(f326(f326(f328(f927(x88271,x88271)),x88272),f326(f326(f288(x88271,x88271,x88271),x88273),f306(x88271,x88273))))+~P106(f326(f326(f328(f927(x88271,x88271)),x88272),x88273))
% 163.42/163.16 [8840]E(f326(f309(x88401,x88402,x88403),f241(f928(x88401,a916))),f241(f928(x88402,a916)))+~E(f326(f72(x88401,x88402,x88402,x88403),f91(x88401,x88402,f241(f928(x88401,a916)),x88403)),f31(x88402))
% 163.42/163.16 [8849]P106(f326(f326(f234(a920),x88491),x88492))+~P106(f326(f326(f234(a920),f326(f326(f80(a920),f326(a112,x88493)),x88491)),f326(f326(f80(a920),f326(a112,x88493)),x88492)))
% 163.42/163.16 [8865]P106(f326(f326(f234(f928(x88651,a916)),x88652),x88653))+~P106(f326(f326(f234(f928(x88651,a916)),f326(f78(f928(x88651,a916)),x88653)),f326(f78(f928(x88651,a916)),x88652)))
% 163.42/163.16 [8889]P106(f326(f137(x88891),x88892))+~P106(f326(f137(x88891),f326(f326(f326(f183(f921(x88891),f921(x88891)),x88893),f167(x88891)),x88892)))
% 163.42/163.16 [8962]E(f326(f284(x89621,x89621,f306(x89621,x89622)),x89623),x89623)+~P106(f326(f326(f234(f928(x89621,a916)),f326(f284(x89621,x89621,x89622),x89623)),x89623))
% 163.42/163.16 [9010]~P109(x90101)+P14(x90101,f326(f136(x90101,f326(f326(f9(x90101,x90101,a916),a323),f326(x90102,x90103))),x90103))
% 163.42/163.16 [9017]~P106(f326(f326(f234(a920),x90171),x90172))+P106(f326(f326(f234(a920),x90171),f326(f142(a920,a920,f79(a920),x90172),x90173)))
% 163.42/163.16 [9103]~P106(f326(f326(f328(f927(x91031,x91031)),x91032),f306(x91031,x91033)))+P106(f326(f326(f328(f927(x91031,x91031)),x91032),f326(f326(f183(f927(x91031,x91031),a916),f620(x91033,x91032,x91031)),x91033)))
% 163.42/163.16 [9184]~P83(x91841)+E(f326(f326(f79(x91841),x91842),f326(f142(x91841,x91841,f326(f9(x91841,x91841,x91841),f79(x91841)),f2(x91841)),f326(f168(x91841),x91843))),f326(f142(x91841,x91841,f79(x91841),x91842),x91843))
% 163.42/163.16 [9301]~P27(x93012,x93011,x93013,f241(f928(x93012,a916)),f241(f928(x93011,a916)))+E(f91(x93011,x93012,f241(f928(x93011,a916)),f91(x93012,x93011,f241(f928(x93012,a916)),x93013)),x93013)
% 163.42/163.16 [9454]P56(x94541,x94542,x94543)+P106(f326(f326(f328(f927(x94541,x94542)),f326(f326(f251(x94541,x94542),f612(x94543,x94542,x94541)),f599(x94543,x94542,x94541))),x94543))
% 163.42/163.16 [9455]P56(x94551,x94552,x94553)+P106(f326(f326(f328(f927(x94551,x94552)),f326(f326(f251(x94551,x94552),f612(x94553,x94552,x94551)),f598(x94553,x94552,x94551))),x94553))
% 163.42/163.16 [9525]~P106(f326(f326(f328(f927(x95251,x95251)),x95252),f326(f326(f288(x95251,x95251,x95251),x95253),f306(x95251,x95253))))+P106(f326(f326(f328(f927(x95251,x95251)),x95252),f326(f326(f183(f927(x95251,x95251),a916),f622(x95253,x95252,x95251)),x95253)))
% 163.42/163.16 [9526]~P106(f326(x95261,f326(f326(f164(x95262),x95263),f326(f190(f921(x95262)),f177(x95262,x95261,x95263)))))+~P106(f326(f326(f235(a920),f326(f190(f921(x95262)),f177(x95262,x95261,x95263))),f326(f190(f921(x95262)),x95263)))
% 163.42/163.16 [9617]~P106(f326(f326(f234(f928(x96171,a916)),x96172),x96173))+P106(f326(f326(f234(f928(x96171,a916)),f326(f326(f9(x96171,f928(x96171,a916),a916),f328(x96171)),x96172)),f326(f326(f9(x96171,f928(x96171,a916),a916),f328(x96171)),x96173)))
% 163.42/163.16 [9677]~P106(f326(f326(f328(f927(f928(x96771,a916),f928(x96771,a916))),f326(f326(f251(f928(x96771,a916),f928(x96771,a916)),x96772),x96773)),f313(x96771)))+P106(f326(f326(f235(f928(x96771,a916)),x96772),x96773))
% 163.42/163.16 [9705]P57(x97051,x97052,x97053)+~P106(f326(f326(f328(f927(x97051,x97051)),f326(f326(f251(x97051,x97051),f615(x97053,x97052,x97051)),f614(x97053,x97052,x97051))),x97053))
% 163.42/163.16 [9706]P57(x97061,x97062,x97063)+~P106(f326(f326(f328(f927(x97061,x97061)),f326(f326(f251(x97061,x97061),f614(x97063,x97062,x97061)),f615(x97063,x97062,x97061))),x97063))
% 163.42/163.16 [9744]~P106(f326(f326(f328(f927(f921(x97441),f921(x97441))),f326(f326(f251(f921(x97441),f921(x97441)),x97442),x97442)),f147(x97441,x97443)))+P106(f326(f326(f328(f927(x97441,x97441)),f326(f326(f251(x97441,x97441),f651(x97442,x97443,x97441)),f651(x97442,x97443,x97441))),x97443))
% 163.42/163.16 [9794]P106(f326(f326(f234(f928(x97941,a916)),x97942),x97943))+~P106(f326(f326(f234(f928(x97941,a916)),f326(f326(f9(x97941,f928(x97941,a916),a916),f328(x97941)),x97942)),f326(f326(f9(x97941,f928(x97941,a916),a916),f328(x97941)),x97943)))
% 163.42/163.16 [9875]E(f326(f326(f3(a920),f326(f326(f8(a920,a920),x98751),f326(f281(a920),x98752))),f326(f326(f8(a920,a920),x98753),f326(f281(a920),x98752))),f326(f326(f8(a920,a920),f326(f326(f20(a920,a920,a920),f326(f326(f10(a920,f928(a920,a920),a920),f3(a920)),x98751)),x98753)),f326(f281(a920),x98752)))+~P106(f326(f326(f234(a920),f326(x98753,f417(x98752,x98751,x98753))),f326(x98751,f417(x98752,x98751,x98753))))
% 163.42/163.16 [5841]~P76(x58411)+E(f326(f326(f3(x58411),f326(f326(f79(x58411),x58412),x58413)),x58413),x58412)
% 163.42/163.16 [5842]~P76(x58421)+E(f326(f326(f79(x58421),f326(f326(f3(x58421),x58422),x58423)),x58423),x58422)
% 163.42/163.16 [6067]~P76(x60671)+E(f326(f326(f79(x60671),x60672),f326(f326(f79(x60671),f326(f78(x60671),x60672)),x60673)),x60673)
% 163.42/163.16 [6155]~P82(x61551)+E(f326(f326(f80(x61551),f326(f326(f243(x61551),x61552),x61553)),x61552),f326(f326(f243(x61551),x61552),f326(a112,x61553)))
% 163.42/163.16 [6156]~P113(x61561)+E(f326(f326(f80(x61561),f326(f326(f243(x61561),x61562),x61563)),x61562),f326(f326(f243(x61561),x61562),f326(a112,x61563)))
% 163.42/163.16 [6382]~P120(x63821)+E(f326(f75(x63821),f326(f326(f243(x63821),f326(f78(x63821),x63822)),x63823)),f326(f75(x63821),f326(f326(f243(x63821),x63822),x63823)))
% 163.42/163.16 [6428]~P82(x64281)+E(f326(f326(f80(x64281),f326(f326(f243(x64281),x64282),x64283)),x64282),f326(f326(f80(x64281),x64282),f326(f326(f243(x64281),x64282),x64283)))
% 163.42/163.16 [6485]E(f326(f326(f3(a99),f326(f326(f79(a99),x64851),x64852)),x64853),f273(x64851,x64852,x64853))+~P106(f326(f326(f235(a99),x64852),x64853))
% 163.42/163.16 [6509]~E(f326(f326(f138(x65091),x65093),x65092),f113(x65091))+P106(f326(f326(f234(a920),f326(f190(f921(x65091)),x65092)),x65093))
% 163.42/163.16 [6646]E(f326(f326(f80(a920),f326(f103(a920),x66461)),f326(f326(f80(a920),f326(f103(a920),x66462)),x66463)),f2(a920))+~P106(f326(f326(f235(a1),x66461),a82))
% 163.42/163.16 [6662]~P65(x66621)+E(f326(f326(f243(x66621),f326(f326(f290(x66621),f77(x66621)),x66622)),x66623),f326(f326(f290(x66621),f77(x66621)),f326(f326(f243(x66621),x66622),x66623)))
% 163.42/163.16 [6741]E(f326(f326(f3(a920),f326(f326(f79(a920),x67411),x67412)),x67413),f326(f326(f3(a920),x67411),f326(f326(f3(a920),x67413),x67412)))+~P106(f326(f326(f234(a920),x67412),x67413))
% 163.42/163.16 [6743]E(f326(f326(f3(a920),f326(f326(f79(a920),x67431),x67432)),x67433),f326(f326(f79(a920),x67431),f326(f326(f3(a920),x67432),x67433)))+~P106(f326(f326(f234(a920),x67433),x67432))
% 163.42/163.16 [6782]~P2(x67821)+P106(f326(f326(f234(x67821),f326(f326(f101(x67821),x67822),x67823)),x67823))
% 163.42/163.16 [6783]~P102(x67831)+P106(f326(f326(f234(x67831),f326(f326(f101(x67831),x67832),x67833)),x67833))
% 163.42/163.16 [6784]~P2(x67841)+P106(f326(f326(f234(x67841),f326(f326(f101(x67841),x67842),x67843)),x67842))
% 163.42/163.16 [6785]~P102(x67851)+P106(f326(f326(f234(x67851),f326(f326(f101(x67851),x67852),x67853)),x67852))
% 163.42/163.16 [6786]~P109(x67861)+P106(f326(f326(f234(x67861),f326(f326(f188(x67861),x67862),x67863)),x67863))
% 163.42/163.16 [6787]~P109(x67871)+P106(f326(f326(f234(x67871),f326(f326(f188(x67871),x67872),x67873)),x67872))
% 163.42/163.16 [6800]E(f326(f326(f35(a1),f326(f326(f35(a1),x68001),x68002)),x68003),f326(f326(f35(a1),x68001),f326(f326(f80(a1),x68002),x68003)))+~P106(f326(f326(f235(a1),f2(a1)),x68003))
% 163.42/163.16 [6852]~P113(x68521)+E(f326(f326(f79(x68521),f326(f326(f80(x68521),x68522),x68523)),x68523),f326(f326(f80(x68521),f326(f326(f79(x68521),x68522),f77(x68521))),x68523))
% 163.42/163.16 [6853]~P94(x68531)+E(f326(f326(f80(x68531),f326(f78(x68531),f326(f103(x68531),x68532))),x68533),f326(f326(f80(x68531),f326(f103(x68531),f326(f78(a1),x68532))),x68533))
% 163.42/163.16 [6925]~P83(x69251)+E(f326(f165(x69251),f326(f326(f154(x69252,x69251),f326(f18(x69251,x69252),f2(x69251))),x69253)),f2(x69251))
% 163.42/163.16 [6942]E(f326(f326(f79(a920),f326(f103(a920),x69421)),f326(f326(f79(a920),f326(f103(a920),x69422)),x69423)),f326(f326(f79(a920),f326(f103(a920),x69422)),x69423))+~P106(f326(a194,f326(f103(a1),x69421)))
% 163.42/163.16 [6957]~P6(x69571)+E(f36(x69571,f326(f326(f308(x69571),x69572),f326(f326(f308(x69571),x69573),f189(f928(x69571,a916))))),f326(f326(f110(x69571),x69572),x69573))
% 163.42/163.16 [6958]~P6(x69581)+E(f37(x69581,f326(f326(f308(x69581),x69582),f326(f326(f308(x69581),x69583),f189(f928(x69581,a916))))),f326(f326(f101(x69581),x69582),x69583))
% 163.42/163.16 [6980]E(f326(f326(f175(x69801),x69802),x69803),x69803)+~P106(f326(f326(f234(a920),f326(f190(f921(x69801)),x69803)),x69802))
% 163.42/163.16 [6992]E(f326(f326(f138(x69921),x69922),x69923),f113(x69921))+~P106(f326(f326(f234(a920),f326(f190(f921(x69921)),x69923)),x69922))
% 163.42/163.16 [7003]E(f326(f326(f79(a920),f326(f326(f3(a920),x70031),x70032)),x70033),f326(f326(f3(a920),f326(f326(f79(a920),x70031),x70033)),x70032))+~P106(f326(f326(f234(a920),x70032),x70031))
% 163.42/163.16 [7017]~P106(f326(f326(f235(a920),x70171),x70173))+P106(f326(f326(f235(a920),f326(f326(f3(a920),x70171),x70172)),x70173))
% 163.42/163.16 [7044]~P109(x70441)+E(f170(x70441,x70442,f326(f326(f148(x70441,x70441,f7(x70441)),x70442),x70443)),x70443)
% 163.42/163.16 [7134]E(f326(f326(f3(a920),f326(f326(f79(a920),x71341),x71342)),f326(a112,x71343)),f326(f326(f3(a920),x71341),f326(a112,f326(f326(f3(a920),x71343),x71342))))+~P106(f326(f326(f234(a920),x71342),x71343))
% 163.42/163.16 [7135]~P120(x71351)+P106(f326(f326(f234(x71351),f2(x71351)),f326(f326(f243(x71351),f326(f75(x71351),x71352)),x71353)))
% 163.42/163.16 [7181]P25(x71811,x71812,x71813)+~P106(f326(f326(f234(f928(f919(x71811),a916)),x71813),x71812))
% 163.42/163.16 [7223]~P106(f326(f60(x72231),x72232))+P106(f326(f60(x72231),f326(f326(f3(f928(x72231,a916)),x72232),x72233)))
% 163.42/163.16 [7224]~P106(f326(f60(x72241),x72243))+P106(f326(f60(x72241),f326(f326(f101(f928(x72241,a916)),x72242),x72243)))
% 163.42/163.16 [7225]~P106(f326(f60(x72251),x72252))+P106(f326(f60(x72251),f326(f326(f101(f928(x72251,a916)),x72252),x72253)))
% 163.42/163.16 [7368]~P39(x73681,x73683)+P39(x73681,f326(f326(f101(f928(f927(x73681,x73681),a916)),x73682),x73683))
% 163.42/163.16 [7369]~P39(x73691,x73692)+P39(x73691,f326(f326(f101(f928(f927(x73691,x73691),a916)),x73692),x73693))
% 163.42/163.16 [7492]~P2(x74921)+E(f12(x74921,f326(f172(x74921),f326(f326(f151(x74921),x74922),x74923))),f326(f142(x74921,x74921,f110(x74921),x74922),x74923))
% 163.42/163.16 [7493]~P2(x74931)+E(f13(x74931,f326(f172(x74931),f326(f326(f151(x74931),x74932),x74933))),f326(f142(x74931,x74931,f101(x74931),x74932),x74933))
% 163.42/163.16 [7494]~P109(x74941)+E(f16(x74941,f326(f172(x74941),f326(f326(f151(x74941),x74942),x74943))),f326(f142(x74941,x74941,f188(x74941),x74942),x74943))
% 163.42/163.16 [7495]~P109(x74951)+E(f17(x74951,f326(f172(x74951),f326(f326(f151(x74951),x74952),x74953))),f326(f142(x74951,x74951,f233(x74951),x74952),x74953))
% 163.42/163.16 [7556]~P106(f326(f60(x75561),x75562))+P106(f326(f326(f234(a920),f326(f34(x75561),x75562)),f326(f34(x75561),f326(f326(f308(x75561),x75563),x75562))))
% 163.42/163.16 [7563]E(f326(f326(f110(f928(a920,a916)),f326(f301(a920,x75631),x75632)),f326(f301(a920,x75632),f326(f326(f79(a920),x75632),x75633))),f326(f301(a920,x75631),f326(f326(f79(a920),x75632),x75633)))+~P106(f326(f326(f234(a920),x75631),x75632))
% 163.42/163.16 [7572]P106(f326(f326(f234(a920),x75721),x75722))+~P106(f326(f326(f234(a920),f326(f326(f79(a920),x75723),x75721)),x75722))
% 163.42/163.16 [7573]P106(f326(f326(f234(a920),x75731),x75732))+~P106(f326(f326(f234(a920),f326(f326(f79(a920),x75731),x75733)),x75732))
% 163.42/163.16 [7574]P106(f326(f326(f235(a920),x75741),x75742))+~P106(f326(f326(f235(a920),f326(f326(f79(a920),x75741),x75743)),x75742))
% 163.42/163.16 [7613]~P109(x76131)+E(f14(x76131,f188(x76131),f326(f172(x76131),f326(f326(f151(x76131),x76132),x76133))),f326(f142(x76131,x76131,f188(x76131),x76132),x76133))
% 163.42/163.16 [7614]~P109(x76141)+E(f15(x76141,f233(x76141),f326(f172(x76141),f326(f326(f151(x76141),x76142),x76143))),f326(f142(x76141,x76141,f233(x76141),x76142),x76143))
% 163.42/163.16 [7618]~E(x76182,f189(f928(f927(x76181,x76181),a916)))+P106(f326(f326(f234(f928(f927(x76181,x76181),a916)),x76182),x76183))
% 163.42/163.16 [7719]E(f326(f326(f110(f928(x77191,a916)),x77192),f326(f326(f3(f928(x77191,a916)),x77193),x77192)),x77193)+~P106(f326(f326(f234(f928(x77191,a916)),x77192),x77193))
% 163.42/163.16 [7720]~P106(f326(f326(f234(a920),x77201),f326(f326(f79(a920),x77203),x77202)))+P106(f326(f326(f234(a920),f326(f326(f3(a920),x77201),x77202)),x77203))
% 163.42/163.16 [7721]~P106(f326(f326(f235(a920),x77211),f326(f326(f3(a920),x77213),x77212)))+P106(f326(f326(f235(a920),f326(f326(f79(a920),x77211),x77212)),x77213))
% 163.42/163.16 [7777]E(x77771,f113(x77772))+E(f326(f141(x77772),f326(f326(f326(f183(f921(x77772),f921(x77772)),x77773),f167(x77772)),x77771)),f326(f326(f164(x77772),x77771),f44(a920,x77773,f326(f190(f921(x77772)),x77771))))
% 163.42/163.16 [7786]E(f326(f326(f308(x77861),x77862),f326(f326(f3(f928(x77861,a916)),x77863),f326(f326(f308(x77861),x77862),f189(f928(x77861,a916))))),x77863)+~P106(f326(f326(f328(x77861),x77862),x77863))
% 163.42/163.16 [7947]P106(f326(f326(f234(a920),x79471),f326(f326(f79(a920),x79472),x79473)))+~P106(f326(f326(f234(a920),f326(f326(f3(a920),x79471),x79473)),x79472))
% 163.42/163.16 [7948]P106(f326(f326(f235(a920),x79481),f326(f326(f3(a920),x79482),x79483)))+~P106(f326(f326(f235(a920),f326(f326(f79(a920),x79481),x79483)),x79482))
% 163.42/163.16 [7973]P106(f326(f60(x79731),x79732))+~P106(f326(f60(x79731),f326(f326(f110(f928(x79731,a916)),x79733),x79732)))
% 163.42/163.16 [7974]P106(f326(f60(x79741),x79742))+~P106(f326(f60(x79741),f326(f326(f110(f928(x79741,a916)),x79742),x79743)))
% 163.42/163.16 [8047]~P48(x80471,x80473)+P106(f326(f326(f328(f927(x80471,x80471)),f326(f326(f251(x80471,x80471),x80472),x80472)),x80473))
% 163.42/163.16 [8181]E(f326(f326(f164(a920),f139(a920,f326(f301(a920,x81811),x81812))),x81813),f326(f326(f79(a920),x81811),x81813))+~P106(f326(f326(f235(a920),f326(f326(f79(a920),x81811),x81813)),x81812))
% 163.42/163.16 [8247]E(f326(f326(f175(a920),x82471),f139(a920,f326(f301(a920,x82472),x82473))),f139(a920,f326(f301(a920,x82472),f326(f326(f79(a920),x82472),x82471))))+~P106(f326(f326(f234(a920),f326(f326(f79(a920),x82472),x82471)),x82473))
% 163.42/163.16 [8303]~P94(x83031)+E(f326(f326(f243(x83031),x83032),f326(f103(a920),f326(f326(f79(a1),x83033),x83033))),f326(f326(f85(x83031,x83031),f326(f326(f243(x83031),x83032),f326(f103(a920),x83033))),f326(f326(f20(x83031,x83031,x83031),f80(x83031)),f7(x83031))))
% 163.42/163.16 [8567]E(f326(f326(f134(x85671),f326(f326(f175(x85671),x85672),x85673)),f326(f326(f151(x85671),f326(f326(f164(x85671),x85673),x85672)),f326(f326(f138(x85671),f326(a112,x85672)),x85673))),x85673)+~P106(f326(f326(f235(a920),x85672),f326(f190(f921(x85671)),x85673)))
% 163.42/163.16 [8574]P106(f326(f326(f234(f928(x85741,a916)),f314(x85741,x85742)),f314(x85741,x85743)))+~P106(f326(f326(f234(f928(x85741,f928(x85741,a916))),x85743),x85742))
% 163.42/163.16 [8575]~P57(x85751,x85752,x85753)+P57(x85751,x85752,f326(f326(f3(f928(f927(x85751,x85751),a916)),x85753),f306(x85751,f189(f928(f927(x85751,x85751),a916)))))
% 163.42/163.16 [8594]P106(f326(f326(f234(f928(x85941,a916)),f315(x85941,x85942)),f315(x85941,x85943)))+~P106(f326(f326(f234(f928(f927(x85941,x85941),a916)),x85943),x85942))
% 163.42/163.16 [8601]~P128(x86011)+P106(f326(f326(f234(x86011),f2(x86011)),f326(f326(f79(x86011),f326(f326(f80(x86011),x86012),x86012)),f326(f326(f80(x86011),x86013),x86013))))
% 163.42/163.16 [8634]P106(f326(f326(f234(f928(x86341,a916)),f326(f280(x86341),x86342)),f326(f280(x86341),x86343)))+~P106(f326(f326(f234(f928(f927(x86341,x86341),a916)),x86342),x86343))
% 163.42/163.16 [8663]~P55(x86631,x86632)+~P106(f326(f326(f328(f927(x86631,x86631)),f326(f326(f251(x86631,x86631),x86633),x86633)),x86632))
% 163.42/163.16 [8665]~P39(x86651,x86652)+~P106(f326(f326(f328(f927(x86651,x86651)),f326(f326(f251(x86651,x86651),x86653),x86653)),x86652))
% 163.42/163.16 [8723]P106(f326(f326(f234(f928(x87231,a916)),f36(f928(x87231,a916),x87232)),f36(f928(x87231,a916),x87233)))+~P106(f326(f326(f234(f928(f928(x87231,a916),a916)),x87232),x87233))
% 163.42/163.16 [8724]P106(f326(f326(f234(f928(x87241,a916)),f37(f928(x87241,a916),x87242)),f37(f928(x87241,a916),x87243)))+~P106(f326(f326(f234(f928(f928(x87241,a916),a916)),x87243),x87242))
% 163.42/163.16 [8778]~P9(x87781,x87783,x87782)+P106(f326(f326(f234(f928(f927(x87781,x87781),a916)),x87782),f326(f326(f253(x87781,x87781),x87783),f326(f18(f928(x87781,a916),x87781),x87783))))
% 163.42/163.16 [8779]~P54(x87791,x87793,x87792)+P106(f326(f326(f234(f928(f927(x87791,x87791),a916)),x87792),f326(f326(f253(x87791,x87791),x87793),f326(f18(f928(x87791,a916),x87791),x87793))))
% 163.42/163.16 [8828]~P87(x88281)+P106(f326(f326(f234(x88281),f326(f326(f3(x88281),f326(f75(x88281),x88282)),f326(f75(x88281),x88283))),f326(f75(x88281),f326(f326(f3(x88281),x88283),x88282))))
% 163.42/163.16 [8829]~P87(x88291)+P106(f326(f326(f234(x88291),f326(f326(f3(x88291),f326(f75(x88291),x88292)),f326(f75(x88291),x88293))),f326(f75(x88291),f326(f326(f3(x88291),x88292),x88293))))
% 163.42/163.16 [8863]P106(f326(f326(f234(f928(f927(x88631,x88631),a916)),f306(x88631,x88632)),f306(x88631,x88633)))+~P106(f326(f326(f234(f928(f927(x88631,x88631),a916)),x88632),x88633))
% 163.42/163.16 [8975]~P26(x89752,x89751,x89753,f241(f928(x89752,a916)))+E(f326(f72(x89751,x89752,x89752,f91(x89752,x89751,f241(f928(x89752,a916)),x89753)),x89753),f31(x89752))
% 163.42/163.16 [9035]P57(x90351,x90352,x90353)+~P57(x90351,x90352,f326(f326(f3(f928(f927(x90351,x90351),a916)),x90353),f306(x90351,f189(f928(f927(x90351,x90351),a916)))))
% 163.42/163.16 [9055]P106(f326(f326(f234(f928(f927(f921(x90551),f921(x90551)),a916)),f157(x90551,x90552)),f157(x90551,x90553)))+~P106(f326(f326(f234(f928(f927(x90551,x90551),a916)),x90552),x90553))
% 163.42/163.16 [9056]P106(f326(f326(f234(f928(f927(f921(x90561),f921(x90561)),a916)),f158(x90561,x90562)),f158(x90561,x90563)))+~P106(f326(f326(f234(f928(f927(x90561,x90561),a916)),x90562),x90563))
% 163.42/163.16 [9077]~P54(x90771,x90773,x90772)+P106(f326(f326(f234(f928(f927(x90771,x90771),a916)),x90772),f326(f326(f288(x90771,x90771,x90771),f326(f285(x90771,x90771),x90772)),x90772)))
% 163.42/163.16 [9129]~P106(f326(f137(x91291),x91292))+E(f326(f136(x91291,f326(f326(f9(x91291,f928(x91291,a916),a916),f328(x91291)),f326(f172(x91291),f176(x91291,x91292,x91293)))),x91292),f176(x91291,x91292,x91293))
% 163.42/163.16 [9182]E(x91821,x91822)+~P106(f326(f326(f328(f927(x91823,x91823)),f326(f326(f251(x91823,x91823),x91821),x91822)),f306(x91823,f189(f928(f927(x91823,x91823),a916)))))
% 163.42/163.16 [9264]P106(f326(f326(f328(x92641),x92642),f315(x92641,x92643)))+P106(f326(f326(f328(f927(x92641,x92641)),f326(f326(f251(x92641,x92641),f509(x92643,x92642,x92641)),x92642)),x92643))
% 163.42/163.16 [9265]P106(f326(f326(f328(x92651),x92652),f315(x92651,x92653)))+P106(f326(f326(f328(f927(x92651,x92651)),f326(f326(f251(x92651,x92651),f602(x92653,x92652,x92651)),x92652)),x92653))
% 163.42/163.16 [9266]P106(f326(f326(f328(x92661),x92662),f315(x92661,x92663)))+P106(f326(f326(f328(f927(x92661,x92661)),f326(f326(f251(x92661,x92661),f604(x92663,x92662,x92661)),x92662)),x92663))
% 163.42/163.16 [9302]P26(x93021,x93022,x93023,f241(f928(x93021,a916)))+~E(f326(f72(x93022,x93021,x93021,f91(x93021,x93022,f241(f928(x93021,a916)),x93023)),x93023),f31(x93021))
% 163.42/163.16 [9355]~P106(f326(f326(f328(f921(x93551)),x93553),f161(x93551,x93552)))+P106(f326(f160(x93551,f326(f326(f9(x93551,f928(x93551,a916),a916),f328(x93551)),x93552)),x93553))
% 163.42/163.16 [9378]P106(f326(x93783,x93782))+E(f326(f261(x93781),f326(f326(f20(x93781,a916,a916),f326(f326(f10(a916,f928(a916,a916),x93781),a324),f326(a323,x93782))),x93783)),f189(f928(x93781,a916)))
% 163.42/163.16 [9394]~P87(x93941)+P106(f326(f326(f234(x93941),f326(f75(x93941),f326(f326(f3(x93941),f326(f75(x93941),x93942)),f326(f75(x93941),x93943)))),f326(f75(x93941),f326(f326(f3(x93941),x93942),x93943))))
% 163.42/163.16 [9408]~P106(f326(x94083,x94082))+E(f326(f261(x94081),f326(f326(f20(x94081,a916,a916),f326(f326(f10(a916,f928(a916,a916),x94081),a324),f326(a323,x94082))),x94083)),f326(f326(f308(x94081),x94082),f189(f928(x94081,a916))))
% 163.42/163.16 [9417]~P106(f326(f326(f328(f928(x94171,a916)),x94173),f326(f307(x94171),x94172)))+P106(f326(f247(x94171,f326(f326(f9(x94171,f928(x94171,a916),a916),f328(x94171)),x94172)),x94173))
% 163.42/163.16 [9453]P39(x94531,x94532)+P106(f326(f326(f328(f927(x94531,x94531)),f326(f326(f251(x94531,x94531),f326(f567(x94532,x94531),f326(a112,x94533))),f326(f567(x94532,x94531),x94533))),x94532))
% 163.42/163.16 [9594]P106(f326(f326(f328(f921(x95941)),x95942),f161(x95941,x95943)))+~P106(f326(f160(x95941,f326(f326(f9(x95941,f928(x95941,a916),a916),f328(x95941)),x95943)),x95942))
% 163.42/163.16 [9609]P106(f326(f326(f328(f928(x96091,a916)),x96092),f326(f307(x96091),x96093)))+~P106(f326(f247(x96091,f326(f326(f9(x96091,f928(x96091,a916),a916),f328(x96091)),x96093)),x96092))
% 163.42/163.16 [9672]P106(f326(f326(f328(x96721),f326(f267(x96721,x96722),x96723)),f326(f172(x96721),f326(f326(f154(f927(a99,x96721),x96721),f255(a99,x96721)),x96722))))+~P106(f326(f326(f235(a99),x96723),f326(f165(a99),f326(f326(f154(f927(a99,x96721),a99),f250(a99,x96721)),x96722))))
% 163.42/163.16 [9723]P106(f326(f326(f234(f928(f927(f921(x97231),f921(x97231)),a916)),f158(x97231,x97232)),f326(f326(f253(f921(x97231),f921(x97231)),f161(x97231,x97233)),f326(f18(f928(f921(x97231),a916),f921(x97231)),f161(x97231,x97233)))))+~P106(f326(f326(f234(f928(f927(x97231,x97231),a916)),x97232),f326(f326(f253(x97231,x97231),x97233),f326(f18(f928(x97231,a916),x97231),x97233))))
% 163.42/163.16 [9747]P106(f326(f326(f328(x97471),f326(f250(x97471,f927(a99,a99)),f326(f265(x97471,x97472),x97473))),f326(f172(x97471),f326(f326(f154(f927(a99,x97471),x97471),f255(a99,x97471)),x97472))))+~P106(f326(f326(f235(a99),f2(a99)),f326(f165(a99),f326(f326(f154(f927(a99,x97471),a99),f250(a99,x97471)),x97472))))
% 163.42/163.16 [9762]~P106(f326(f326(f234(f928(f927(x97621,x97621),a916)),x97622),f326(f326(f253(x97621,x97621),x97623),f326(f18(f928(x97621,a916),x97621),x97623))))+P106(f326(f326(f234(f928(f927(x97621,x97621),a916)),f326(f326(f288(x97621,x97621,x97621),x97622),f306(x97621,x97622))),f326(f326(f253(x97621,x97621),x97623),f326(f18(f928(x97621,a916),x97621),x97623))))
% 163.42/163.16 [10061]~P39(x100611,x100612)+~P106(f326(f326(f328(f927(x100611,x100611)),f326(f326(f251(x100611,x100611),f326(x100613,f326(a112,f568(x100612,x100611,x100613)))),f326(x100613,f568(x100612,x100611,x100613)))),x100612))
% 163.42/163.16 [10062]~P39(x100621,x100622)+~P106(f326(f326(f328(f927(x100621,x100621)),f326(f326(f251(x100621,x100621),f326(x100623,f326(a112,f608(x100623,x100622,x100621)))),f326(x100623,f608(x100623,x100622,x100621)))),x100622))
% 163.42/163.16 [10323]P106(f326(f326(f234(f928(f927(f928(x103231,a916),f928(x103231,a916)),a916)),f326(f326(f288(f928(x103231,a916),f928(x103231,a916),f928(x103231,a916)),f319(x103231,x103232)),f326(f326(f110(f928(f927(f928(x103231,a916),f928(x103231,a916)),a916)),f319(x103231,x103233)),f326(f326(f308(f927(f928(x103231,a916),f928(x103231,a916))),f326(f326(f251(f928(x103231,a916),f928(x103231,a916)),f189(f928(x103231,a916))),f189(f928(x103231,a916)))),f189(f928(f927(f928(x103231,a916),f928(x103231,a916)),a916)))))),f319(x103231,x103232)))+~P106(f326(f326(f234(f928(f927(x103231,x103231),a916)),f326(f326(f288(x103231,x103231,x103231),x103232),x103233)),x103232))
% 163.42/163.16 [10324]P106(f326(f326(f234(f928(f927(f928(x103241,a916),f928(x103241,a916)),a916)),f326(f326(f288(f928(x103241,a916),f928(x103241,a916),f928(x103241,a916)),f317(x103241,x103242)),f326(f326(f110(f928(f927(f928(x103241,a916),f928(x103241,a916)),a916)),f317(x103241,x103243)),f326(f326(f308(f927(f928(x103241,a916),f928(x103241,a916))),f326(f326(f251(f928(x103241,a916),f928(x103241,a916)),f189(f928(x103241,a916))),f189(f928(x103241,a916)))),f189(f928(f927(f928(x103241,a916),f928(x103241,a916)),a916)))))),f317(x103241,x103242)))+~P106(f326(f326(f234(f928(f927(x103241,x103241),a916)),f326(f326(f288(x103241,x103241,x103241),x103242),x103243)),x103242))
% 163.42/163.16 [7491]~P106(f326(f326(f234(a920),x74912),x74911))+E(f326(f326(f3(a920),f326(a112,f326(f326(f3(a920),x74911),x74912))),x74913),f326(f326(f3(a920),f326(a112,x74911)),f326(f326(f79(a920),x74912),x74913)))
% 163.42/163.16 [7531]~P62(x75311)+E(f326(f326(f79(x75311),f44(x75311,x75312,x75313)),f326(f326(f80(x75311),f326(f326(f35(x75311),x75312),x75313)),x75313)),x75312)
% 163.42/163.16 [7725]E(f326(f326(f80(a920),f326(f103(a920),x77251)),f326(f326(f80(a920),f326(f103(a920),x77252)),x77253)),f326(f326(f80(a920),f326(f103(a920),f326(f326(f80(a1),x77251),x77252))),x77253))+P106(f326(f326(f235(a1),x77251),a82))
% 163.42/163.16 [8190]~P106(f326(f326(f234(a920),x81903),x81902))+P106(f326(f326(f234(a920),x81901),f326(f326(f3(a920),f326(f326(f79(a920),x81902),x81901)),x81903)))
% 163.42/163.16 [8389]~P106(f326(f326(f234(a920),x83891),x83892))+E(f326(f326(f134(a920),f139(a920,f326(f301(a920,x83891),x83892))),f139(a920,f326(f301(a920,x83892),f326(f326(f79(a920),x83892),x83893)))),f139(a920,f326(f301(a920,x83891),f326(f326(f79(a920),x83892),x83893))))
% 163.42/163.16 [8642]~P106(f326(f60(x86421),x86422))+E(f326(a112,f326(f34(x86421),f326(f326(f3(f928(x86421,a916)),x86422),f326(f326(f308(x86421),x86423),f189(f928(x86421,a916)))))),f326(f34(x86421),f326(f326(f308(x86421),x86423),x86422)))
% 163.42/163.16 [8681]~P106(f326(f60(x86811),x86812))+E(f326(f326(f79(a920),f77(a920)),f326(f34(x86811),f326(f326(f3(f928(x86811,a916)),x86812),f326(f326(f308(x86811),x86813),f189(f928(x86811,a916)))))),f326(f34(x86811),f326(f326(f308(x86811),x86813),x86812)))
% 163.42/163.16 [8873]E(f326(f326(f3(a920),f326(f34(x88731),x88732)),f326(f34(x88731),f326(f326(f101(f928(x88731,a916)),x88732),x88733))),f326(f34(x88731),f326(f326(f3(f928(x88731,a916)),x88732),x88733)))+~P106(f326(f60(x88731),f326(f326(f101(f928(x88731,a916)),x88732),x88733)))
% 163.42/163.16 [9124]~P7(f326(x91242,f403(x91242,x91243,x91241)))+E(f326(f100(a1),f326(f326(f8(x91241,a920),f326(f326(f10(a1,a920,x91241),a104),x91242)),x91243)),f326(f326(f8(x91241,a1),x91242),x91243))
% 163.42/163.16 [9125]~P7(f326(x91252,f396(x91252,x91253,x91251)))+E(f326(f100(a1),f326(f326(f11(x91251,a920),f326(f326(f10(a1,a920,x91251),a104),x91252)),x91253)),f326(f326(f11(x91251,a1),x91252),x91253))
% 163.42/163.16 [9165]~P106(f326(f60(x91651),x91653))+P106(f326(f326(f234(a920),f326(f326(f3(a920),f326(f34(x91651),x91652)),f326(f34(x91651),x91653))),f326(f34(x91651),f326(f326(f3(f928(x91651,a916)),x91652),x91653))))
% 163.42/163.16 [9192]P106(f326(f326(f328(x91921),f403(x91922,x91923,x91921)),x91923))+E(f326(f100(a1),f326(f326(f8(x91921,a920),f326(f326(f10(a1,a920,x91921),a104),x91922)),x91923)),f326(f326(f8(x91921,a1),x91922),x91923))
% 163.42/163.16 [9193]P106(f326(f326(f328(x91931),f396(x91932,x91933,x91931)),x91933))+E(f326(f100(a1),f326(f326(f11(x91931,a920),f326(f326(f10(a1,a920,x91931),a104),x91932)),x91933)),f326(f326(f11(x91931,a1),x91932),x91933))
% 163.42/163.16 [9256]E(f84(x92561,f326(f326(f9(x92561,f928(x92561,a916),a916),f328(x92561)),f326(f326(f3(f928(x92561,a916)),x92562),f326(f326(f308(x92561),x92563),f189(f928(x92561,a916)))))),f246(x92561,x92563,x92562))+P106(f326(f326(f234(f928(x92561,a916)),x92562),f326(f326(f308(x92561),x92563),f189(f928(x92561,a916)))))
% 163.42/163.16 [9610]E(f326(f326(f154(f921(x96101),x96101),f326(f326(f9(f921(x96101),a920,x96101),f164(x96101)),x96102)),f326(f136(f921(x96101),f326(f326(f10(a920,a916,f921(x96101)),f326(f235(a920),x96102)),f190(f921(x96101)))),x96103)),f326(f326(f164(f921(x96101)),f179(x96101,x96103)),x96102))+~P106(f326(f326(f235(a920),x96102),f326(f190(f921(f921(x96101))),f179(x96101,x96103))))
% 163.42/163.16 [9695]E(f326(f136(x96951,x96952),x96953),f177(x96951,x96952,x96953))+P106(f326(f326(f328(x96951),f723(x96953,x96952,x96951)),f326(f172(x96951),f326(f326(f138(x96951),f326(f190(f921(x96951)),f177(x96951,x96952,x96953))),x96953))))
% 163.42/163.16 [9835]E(f326(f326(f138(x98351),f326(f190(f921(x98351)),f177(x98351,x98352,x98353))),x98353),f113(x98351))+~P106(f326(x98352,f326(f141(x98351),f326(f326(f138(x98351),f326(f190(f921(x98351)),f177(x98351,x98352,x98353))),x98353))))
% 163.42/163.16 [9927]~P106(f326(f326(f328(f927(x99271,x99271)),x99272),f306(x99271,x99273)))+P106(f326(f326(f328(f927(x99271,x99271)),x99272),f326(f326(f39(a920,f928(f927(x99271,x99271),a916)),f241(f928(a920,a916))),f326(f326(f9(a920,f928(f927(x99271,x99271),a916),f928(f927(x99271,x99271),a916)),f183(f927(x99271,x99271),a916)),x99273))))
% 163.42/163.16 [9987]~P106(f326(f326(f234(f928(x99871,a916)),f326(f326(f39(a920,f928(x99871,a916)),f326(f301(a920,f2(a920)),f501(x99873,x99872,x99871))),x99872)),x99873))+P106(f326(f326(f234(f928(x99871,a916)),f326(f326(f39(a920,f928(x99871,a916)),f241(f928(a920,a916))),x99872)),x99873))
% 163.42/163.16 [10034]~P106(f326(f326(f235(a1),f2(a1)),x100343))+P106(f326(f326(f235(a1),x100341),f326(f326(f79(a1),x100342),f326(f326(f80(a1),f326(f326(f79(a1),f326(f75(a1),f326(f326(f3(a1),x100342),x100341))),f77(a1))),x100343))))
% 163.42/163.16 [10048]~P39(x100481,f326(f326(f110(f928(f927(x100481,x100481),a916)),x100482),x100483))+P39(x100481,f326(f326(f110(f928(f927(x100481,x100481),a916)),f326(f326(f110(f928(f927(x100481,x100481),a916)),f326(f326(f288(x100481,x100481,x100481),x100482),x100482)),f326(f326(f288(x100481,x100481,x100481),x100483),x100482))),x100483))
% 163.42/163.16 [10123]P39(x101231,f326(f326(f110(f928(f927(x101231,x101231),a916)),x101232),x101233))+~P39(x101231,f326(f326(f110(f928(f927(x101231,x101231),a916)),f326(f326(f110(f928(f927(x101231,x101231),a916)),f326(f326(f288(x101231,x101231,x101231),x101232),x101232)),f326(f326(f288(x101231,x101231,x101231),x101233),x101232))),x101233))
% 163.42/163.16 [9699]~P143(x96991)+E(f326(f102(x96991),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x96992),x96993)),f189(f928(f927(a920,a920),a916)))))),f326(f326(f3(x96991),f326(f100(x96991),x96992)),f326(f100(x96991),x96993)))
% 163.42/163.16 [9782]P106(f326(x97823,x97822))+E(f326(f261(x97821),f326(f326(f20(x97821,a916,a916),f326(f326(f10(a916,f928(a916,a916),x97821),a324),f326(f326(f9(x97821,x97821,a916),a323),x97822))),x97823)),f189(f928(x97821,a916)))
% 163.42/163.16 [9784]~P106(f326(x97843,x97842))+E(f326(f261(x97841),f326(f326(f20(x97841,a916,a916),f326(f326(f10(a916,f928(a916,a916),x97841),a324),f326(f326(f9(x97841,x97841,a916),a323),x97842))),x97843)),f326(f326(f308(x97841),x97842),f189(f928(x97841,a916))))
% 163.42/163.16 [10013]E(x100131,x100132)+P106(f326(f326(f242(x100133,x100133,f326(f326(f10(f928(x100133,a916),f928(x100133,a916),x100133),f326(f10(a916,a916,x100133),a321)),a323)),x100131),x100132))
% 163.42/163.16 [10103]~E(x101031,x101032)+~P106(f326(f326(f242(x101033,x101033,f326(f326(f10(f928(x101033,a916),f928(x101033,a916),x101033),f326(f10(a916,a916,x101033),a321)),a323)),x101031),x101032))
% 163.42/163.16 [10115]~P106(f326(f60(x101151),x101153))+E(f326(f326(f63(x101151,f928(x101151,a916),f326(f326(f10(f928(x101151,a916),f928(f928(x101151,a916),f928(x101151,a916)),x101151),f326(f9(f928(x101151,a916),f928(x101151,a916),f928(x101151,a916)),f3(f928(x101151,a916)))),f326(f326(f9(x101151,f928(x101151,a916),f928(x101151,a916)),f308(x101151)),f189(f928(x101151,a916))))),x101152),x101153),f326(f326(f3(f928(x101151,a916)),x101152),x101153))
% 163.42/163.16 [10147]~P106(f326(f326(f235(a1),f2(a1)),x101473))+P106(f326(f326(f235(a1),f326(f326(f3(a1),x101471),f326(f326(f80(a1),f326(f326(f79(a1),f326(f75(a1),f326(f326(f3(a1),x101471),x101472))),f77(a1))),x101473))),x101472))
% 163.42/163.16 [10409]~P106(f326(f326(f328(x104091),x104093),f315(x104091,x104092)))+P106(f326(f314(x104091,f326(f326(f9(x104091,f928(f927(x104091,x104091),a916),f928(x104091,a916)),f326(f326(f10(f928(x104091,f928(f928(f927(x104091,x104091),a916),a916)),f928(f928(f927(x104091,x104091),a916),f928(x104091,a916)),x104091),f9(x104091,f928(f927(x104091,x104091),a916),a916)),f326(f326(f10(f928(x104091,f927(x104091,x104091)),f928(x104091,f928(f928(f927(x104091,x104091),a916),a916)),x104091),f326(f10(f927(x104091,x104091),f928(f928(f927(x104091,x104091),a916),a916),x104091),f328(f927(x104091,x104091)))),f251(x104091,x104091)))),x104092)),x104093))
% 163.42/163.16 [10423]P106(f326(f326(f328(x104231),x104232),f315(x104231,x104233)))+~P106(f326(f314(x104231,f326(f326(f9(x104231,f928(f927(x104231,x104231),a916),f928(x104231,a916)),f326(f326(f10(f928(x104231,f928(f928(f927(x104231,x104231),a916),a916)),f928(f928(f927(x104231,x104231),a916),f928(x104231,a916)),x104231),f9(x104231,f928(f927(x104231,x104231),a916),a916)),f326(f326(f10(f928(x104231,f927(x104231,x104231)),f928(x104231,f928(f928(f927(x104231,x104231),a916),a916)),x104231),f326(f10(f927(x104231,x104231),f928(f928(f927(x104231,x104231),a916),a916),x104231),f328(f927(x104231,x104231)))),f251(x104231,x104231)))),x104233)),x104232))
% 163.42/163.16 [9985]~P106(f326(f60(x99851),f326(f261(x99851),x99853)))+P106(f326(f60(x99851),f326(f261(x99851),f326(f326(f20(x99851,a916,a916),f326(f326(f10(a916,f928(a916,a916),x99851),a324),x99852)),x99853))))
% 163.42/163.16 [9986]~P106(f326(f60(x99861),f326(f261(x99861),x99862)))+P106(f326(f60(x99861),f326(f261(x99861),f326(f326(f20(x99861,a916,a916),f326(f326(f10(a916,f928(a916,a916),x99861),a324),x99862)),x99863))))
% 163.42/163.16 [10082]P106(f326(f60(x100821),f326(f261(x100821),x100822)))+~P106(f326(f60(x100821),f326(f261(x100821),f326(f326(f20(x100821,a916,a916),f326(f326(f10(a916,f928(a916,a916),x100821),a325),x100823)),x100822))))
% 163.42/163.16 [10083]P106(f326(f60(x100831),f326(f261(x100831),x100832)))+~P106(f326(f60(x100831),f326(f261(x100831),f326(f326(f20(x100831,a916,a916),f326(f326(f10(a916,f928(a916,a916),x100831),a325),x100832)),x100833))))
% 163.42/163.16 [10386]~P106(f326(f60(x103861),x103862))+P106(f326(f60(f921(x103861)),f326(f261(f921(x103861)),f326(f326(f20(f921(x103861),a916,a916),f326(f326(f10(a916,f928(a916,a916),f921(x103861)),a324),f326(f326(f9(f921(x103861),f928(x103861,a916),a916),f326(f326(f10(f928(x103861,a916),f928(f928(x103861,a916),a916),f921(x103861)),f234(f928(x103861,a916))),f172(x103861))),x103862))),f326(f326(f9(f921(x103861),a920,a916),f326(f326(f10(a920,f928(a920,a916),f921(x103861)),a323),f190(f921(x103861)))),x103863)))))
% 163.42/163.16 [10387]~P106(f326(f60(x103871),x103872))+P106(f326(f60(f921(x103871)),f326(f261(f921(x103871)),f326(f326(f20(f921(x103871),a916,a916),f326(f326(f10(a916,f928(a916,a916),f921(x103871)),a324),f326(f326(f9(f921(x103871),f928(x103871,a916),a916),f326(f326(f10(f928(x103871,a916),f928(f928(x103871,a916),a916),f921(x103871)),f234(f928(x103871,a916))),f172(x103871))),x103872))),f326(f326(f9(f921(x103871),a920,a916),f326(f326(f10(a920,f928(a920,a916),f921(x103871)),f234(a920)),f190(f921(x103871)))),x103873)))))
% 163.42/163.16 [10096]~P113(x100961)+E(f326(f326(f243(x100961),x100962),f326(f326(f80(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x100963)),f326(f326(f80(x100961),f326(f326(f243(x100961),x100962),x100963)),f326(f326(f243(x100961),x100962),x100963)))
% 163.42/163.16 [10128]~P82(x101281)+E(f326(f326(f243(x101281),f326(f326(f243(x101281),x101282),x101283)),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x101281),x101282),f326(f326(f80(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101283)))
% 163.42/163.16 [10184]~P143(x101841)+E(f326(f326(f243(x101841),f326(f78(x101841),x101842)),f326(f326(f80(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101843)),f326(f326(f243(x101841),x101842),f326(f326(f80(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101843)))
% 163.42/163.16 [10331]~P120(x103311)+P106(f326(f326(f234(x103311),f2(x103311)),f326(f326(f79(x103311),f326(f326(f243(x103311),x103312),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103311),x103313),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 163.42/163.16 [10194]~P113(x101941)+E(f326(f326(f243(x101941),x101942),f326(a112,f326(f326(f80(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101943))),f326(f326(f80(x101941),x101942),f326(f326(f80(x101941),f326(f326(f243(x101941),x101942),x101943)),f326(f326(f243(x101941),x101942),x101943))))
% 163.42/163.16 [10244]~P82(x102441)+E(f326(f326(f80(x102441),x102442),f326(f326(f243(x102441),f326(f326(f243(x102441),x102442),x102443)),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x102441),x102442),f326(a112,f326(f326(f80(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102443))))
% 163.42/163.16 [10285]~P120(x102851)+P106(f326(f326(f234(x102851),f2(x102851)),f326(f326(f243(x102851),x102852),f326(f326(f80(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102853))))
% 163.42/163.16 [10362]~P94(x103621)+E(f326(f326(f3(x103621),f326(f326(f79(x103621),f326(f326(f243(x103621),x103622),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103621),x103623),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f326(f326(f80(x103621),f326(f326(f80(x103621),f326(f103(x103621),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103622)),x103623)),f326(f326(f243(x103621),f326(f326(f3(x103621),x103622),x103623)),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 163.42/163.16 [10363]~P94(x103631)+E(f326(f326(f79(x103631),f326(f326(f79(x103631),f326(f326(f243(x103631),x103632),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103631),x103633),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f326(f326(f80(x103631),f326(f326(f80(x103631),f326(f103(x103631),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103632)),x103633)),f326(f326(f243(x103631),f326(f326(f79(x103631),x103632),x103633)),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 163.42/163.16 [4872]E(x48721,x48722)+~E(f30(x48723,x48721),f30(x48724,x48722))
% 163.42/163.16 [4873]E(x48731,x48732)+~E(f30(x48731,x48733),f30(x48732,x48734))
% 163.42/163.16 [4874]E(x48741,x48742)+~E(f29(x48743,x48741),f29(x48744,x48742))
% 163.42/163.16 [4875]E(x48751,x48752)+~E(f29(x48751,x48753),f29(x48752,x48754))
% 163.42/163.16 [7990]P26(x79901,x79902,x79903,x79904)+~E(f494(x79904,x79903,x79902,x79901),f495(x79904,x79903,x79902,x79901))
% 163.42/163.16 [8281]P36(x82811,x82812,x82813,x82814,f113(x82812))+~E(x82814,f113(x82811))
% 163.42/163.16 [8282]P36(x82821,x82822,x82823,f113(x82821),x82824)+~E(x82824,f113(x82822))
% 163.42/163.16 [8818]~P36(x88182,x88183,x88184,x88181,f113(x88183))+E(x88181,f113(x88182))
% 163.42/163.16 [8819]~P36(x88193,x88192,x88194,f113(x88193),x88191)+E(x88191,f113(x88192))
% 163.42/163.16 [5255]~P18(x52553,x52551,x52554)+E(f326(f326(x52551,x52552),x52552),x52552)
% 163.42/163.16 [5507]P106(f326(x55072,x55074))+E(f326(f136(x55071,x55072),f169(x55071,x55073,x55074)),f113(x55071))
% 163.42/163.16 [5544]~E(x55444,f189(f928(x55441,a916)))+E(f326(f309(x55441,x55442,x55443),x55444),f189(f928(x55442,a916)))
% 163.42/163.16 [5791]~P106(f326(x57912,x57914))+E(f326(f136(x57911,x57912),f169(x57911,x57913,x57914)),f169(x57911,x57913,x57914))
% 163.42/163.16 [5820]~E(f326(f309(x58202,x58203,x58204),x58201),f189(f928(x58203,a916)))+E(x58201,f189(f928(x58202,a916)))
% 163.42/163.16 [6007]~P8(x60071,x60073)+E(f270(x60071,x60072,f269(x60071,x60073),x60074),x60074)
% 163.42/163.16 [6114]~P109(x61142)+E(f326(f326(f148(x61141,x61142,x61143),x61144),f113(x61141)),f326(f326(f151(x61141),x61144),f113(x61141)))
% 163.42/163.16 [6479]~E(x64791,f189(f928(x64792,a916)))+~P106(f326(f61(x64792,x64793,x64791),x64794))
% 163.42/163.16 [6501]~P60(x65011,x65013,x65014,x65012)+P106(f326(f60(x65011),x65012))
% 163.42/163.16 [6503]~P60(x65031,x65033,x65032,x65034)+P106(f326(f60(x65031),x65032))
% 163.42/163.16 [6511]~P60(x65112,x65113,x65114,x65111)+~E(x65111,f189(f928(x65112,a916)))
% 163.42/163.16 [6545]~P110(x65451)+E(f326(f326(f101(f928(x65451,a916)),f326(f301(x65451,x65452),x65453)),f302(x65451,x65453,x65454)),f189(f928(x65451,a916)))
% 163.42/163.16 [6573]~P106(f326(f326(x65733,x65734),x65732))+P106(f326(f326(f328(x65731),x65732),f293(x65731,x65733,x65734)))
% 163.42/163.16 [6574]~P106(f326(f326(x65743,x65744),x65742))+P106(f326(f326(f328(x65741),x65742),f294(x65741,x65743,x65744)))
% 163.42/163.16 [6575]~P106(f326(f326(x65753,x65752),x65754))+P106(f326(f326(f328(x65751),x65752),f295(x65751,x65753,x65754)))
% 163.42/163.16 [6576]~P106(f326(f326(x65763,x65762),x65764))+P106(f326(f326(f328(x65761),x65762),f297(x65761,x65763,x65764)))
% 163.42/163.16 [6716]~P110(x67161)+E(f326(f326(f101(f928(x67161,a916)),f302(x67161,x67162,x67163)),f305(x67161,x67163,x67164)),f189(f928(x67161,a916)))
% 163.42/163.16 [6717]~P110(x67171)+E(f326(f326(f101(f928(x67171,a916)),f302(x67171,x67172,x67173)),f304(x67171,x67173,x67174)),f189(f928(x67171,a916)))
% 163.42/163.16 [6718]~P110(x67181)+E(f326(f326(f101(f928(x67181,a916)),f305(x67181,x67182,x67183)),f302(x67181,x67183,x67184)),f189(f928(x67181,a916)))
% 163.42/163.16 [6719]~P110(x67191)+E(f326(f326(f101(f928(x67191,a916)),f304(x67191,x67192,x67193)),f305(x67191,x67193,x67194)),f189(f928(x67191,a916)))
% 163.42/163.16 [6720]~P110(x67201)+E(f326(f326(f101(f928(x67201,a916)),f304(x67201,x67202,x67203)),f304(x67201,x67203,x67204)),f189(f928(x67201,a916)))
% 163.42/163.16 [6758]P106(f326(f326(x67581,x67582),f566(x67582,x67581)))+~P106(f326(f248(x67583,x67584,x67581),x67582))
% 163.42/163.16 [6839]~P109(x68392)+E(f326(f172(x68391),f150(x68391,x68392,x68393,x68394)),f326(f172(x68391),x68394))
% 163.42/163.16 [6889]~P146(x68891)+E(f191(x68891,x68892,f326(a112,x68893),x68894),f191(x68891,x68892,x68893,f326(x68892,x68894)))
% 163.42/163.16 [6951]~P106(f326(f326(f328(x69514),x69513),f293(x69514,x69511,x69512)))+P106(f326(f326(x69511,x69512),x69513))
% 163.42/163.16 [6952]~P106(f326(f326(f328(x69524),x69523),f294(x69524,x69521,x69522)))+P106(f326(f326(x69521,x69522),x69523))
% 163.42/163.16 [6953]~P106(f326(f326(f328(x69534),x69532),f295(x69534,x69531,x69533)))+P106(f326(f326(x69531,x69532),x69533))
% 163.42/163.16 [6954]~P106(f326(f326(f328(x69544),x69542),f297(x69544,x69541,x69543)))+P106(f326(f326(x69541,x69542),x69543))
% 163.42/163.16 [7029]E(f326(f34(f926(x70291,x70292)),f312(x70291,x70292,x70293,x70294)),f2(a920))+P106(f326(f60(x70292),x70294))
% 163.42/163.16 [7030]E(f326(f34(f926(x70301,x70302)),f312(x70301,x70302,x70303,x70304)),f2(a920))+P106(f326(f60(x70301),x70303))
% 163.42/163.16 [7232]~P15(x72324,x72321,x72322)+E(f326(f72(x72321,x72321,x72321,f326(x72322,x72323)),f326(x72322,x72323)),f326(x72322,x72323))
% 163.42/163.16 [7476]E(f276(x74761,x74762,x74763,x74764),f326(f251(f928(a99,f928(a916,f924(f922(x74761)))),f927(a99,a99)),f40(x74761)))+~P106(f326(f326(f234(a99),x74763),f2(a99)))
% 163.42/163.16 [8112]~E(x81122,x81123)+P106(f326(f326(f328(f927(x81121,x81121)),f326(f326(f251(x81121,x81121),x81122),x81123)),f306(x81121,x81124)))
% 163.42/163.16 [8141]~P26(x81411,x81412,x81413,f241(f928(x81411,a916)))+E(f326(f76(x81411,x81412,f241(f928(x81411,a916)),x81413),f326(x81413,x81414)),x81414)
% 163.42/163.16 [8142]~P26(x81421,x81422,x81423,f241(f928(x81421,a916)))+E(f326(f91(x81421,x81422,f241(f928(x81421,a916)),x81423),f326(x81423,x81424)),x81424)
% 163.42/163.16 [8230]~P106(f326(f326(f328(f921(x82301)),f326(f326(f151(x82301),x82304),x82302)),f161(x82301,x82303)))+P106(f326(f326(f328(f921(x82301)),x82302),f161(x82301,x82303)))
% 163.42/163.16 [8231]~P106(f326(f326(f328(f921(x82311)),f326(f326(f134(x82311),x82314),x82312)),f161(x82311,x82313)))+P106(f326(f326(f328(f921(x82311)),x82312),f161(x82311,x82313)))
% 163.42/163.16 [8232]~P106(f326(f326(f328(f921(x82321)),f326(f326(f134(x82321),x82322),x82324)),f161(x82321,x82323)))+P106(f326(f326(f328(f921(x82321)),x82322),f161(x82321,x82323)))
% 163.42/163.16 [8243]~P109(x82431)+P14(x82431,f326(f326(f154(x82432,x82431),x82433),f150(x82432,x82431,x82433,x82434)))
% 163.42/163.16 [8347]P26(x83474,x83473,x83471,x83472)+E(f326(x83471,f494(x83472,x83471,x83473,x83474)),f326(x83471,f495(x83472,x83471,x83473,x83474)))
% 163.42/163.16 [8453]~P26(x84532,x84531,x84534,x84533)+P26(x84531,x84532,f76(x84532,x84531,x84533,x84534),f326(f309(x84532,x84531,x84534),x84533))
% 163.42/163.16 [8592]P39(f927(x85922,x85924),f279(x85922,x85924,x85921,x85923))+P106(f326(x85921,f571(x85922,x85923,x85924,x85921)))
% 163.42/163.16 [8706]E(x87061,x87062)+~P106(f326(f326(f328(f927(x87063,x87063)),f326(f326(f251(x87063,x87063),x87061),x87062)),f262(x87063,x87064)))
% 163.42/163.16 [8770]~P106(f326(f60(f926(x87703,x87701)),f312(x87703,x87701,x87704,x87702)))+P106(f326(f60(x87701),x87702))
% 163.42/163.16 [8771]~P106(f326(f60(f926(x87711,x87713)),f312(x87711,x87713,x87712,x87714)))+P106(f326(f60(x87711),x87712))
% 163.42/163.16 [8780]~P26(x87801,x87802,x87803,x87804)+P27(x87801,x87802,x87803,x87804,f326(f309(x87801,x87802,x87803),x87804))
% 163.42/163.16 [8781]P12(x87811,x87812,x87813,x87814)+~E(f326(x87814,f829(x87812,x87814,x87813,x87811)),f326(x87814,f830(x87812,x87814,x87813,x87811)))
% 163.42/163.16 [8874]~P27(x88742,x88743,x88744,x88741,f189(f928(x88743,a916)))+E(x88741,f189(f928(x88742,a916)))
% 163.42/163.16 [8875]~P27(x88753,x88752,x88754,f189(f928(x88753,a916)),x88751)+E(x88751,f189(f928(x88752,a916)))
% 163.42/163.16 [8967]P39(f927(x89671,x89672),f279(x89671,x89672,x89673,x89674))+~P39(x89672,f326(x89674,f571(x89671,x89674,x89672,x89673)))
% 163.42/163.16 [9530]E(f326(f326(f159(x95301,x95302),f670(x95303,x95304,x95302,x95301)),f671(x95303,x95304,x95302,x95301)),x95304)+~P106(f326(f326(f328(f927(f921(x95301),f921(x95301))),f326(f326(f251(f921(x95301),f921(x95301)),x95302),x95304)),f157(x95301,x95303)))
% 163.42/163.16 [9535]~P106(f326(f326(f328(f927(f921(x95351),f921(x95351))),f326(f326(f251(f921(x95351),f921(x95351)),x95352),x95353)),f145(x95351,x95354)))+P106(f326(f326(f328(f927(f921(x95351),f921(x95351))),f326(f326(f251(f921(x95351),f921(x95351)),x95352),x95353)),f147(x95351,x95354)))
% 163.42/163.16 [9647]P106(f326(f60(x96471),x96472))+~P106(f326(f326(f328(f927(f928(x96471,a916),f928(x96471,a916))),f326(f326(f251(f928(x96471,a916),f928(x96471,a916)),x96473),x96472)),f317(x96471,x96474)))
% 163.42/163.16 [9648]P106(f326(f60(x96481),x96482))+~P106(f326(f326(f328(f927(f928(x96481,a916),f928(x96481,a916))),f326(f326(f251(f928(x96481,a916),f928(x96481,a916)),x96482),x96483)),f317(x96481,x96484)))
% 163.42/163.16 [9651]~E(x96511,f189(f928(x96512,a916)))+~P106(f326(f326(f328(f927(f928(x96512,a916),f928(x96512,a916))),f326(f326(f251(f928(x96512,a916),f928(x96512,a916)),x96513),x96511)),f317(x96512,x96514)))
% 163.42/163.16 [10296]P12(x102961,x102962,x102963,x102964)+~P106(f326(f326(f256(x102961,x102961,a916),f326(f326(f9(x102961,f928(x102961,x102962),f928(x102961,a916)),f326(f326(f10(f928(x102962,a916),f928(f928(x102961,x102962),f928(x102961,a916)),x102961),f10(x102962,a916,x102961)),f326(f326(f10(x102962,f928(x102962,a916),x102961),a323),x102964))),x102964)),f578(x102964,x102963,x102962,x102961)))
% 163.42/163.16 [5154]~E(x51542,f113(x51541))+E(f326(f326(f159(x51541,x51542),x51543),x51544),f113(x51541))
% 163.42/163.16 [5155]~E(x51554,f113(x51551))+E(f326(f326(f154(x51551,x51552),x51553),x51554),f113(x51552))
% 163.42/163.16 [5389]E(x53891,f113(x53892))+~E(f326(f326(f154(x53892,x53893),x53894),x53891),f113(x53893))
% 163.42/163.16 [5390]E(x53901,f113(x53902))+~E(f326(f326(f159(x53902,x53901),x53903),x53904),f113(x53902))
% 163.42/163.16 [5427]E(x54271,x54272)+~E(f326(f326(f134(x54273),x54274),x54271),f326(f326(f134(x54273),x54274),x54272))
% 163.42/163.16 [5428]E(x54281,x54282)+~E(f326(f326(f134(x54283),x54281),x54284),f326(f326(f134(x54283),x54282),x54284))
% 163.42/163.16 [5581]P106(f326(x55813,x55812))+E(f170(x55811,x55812,f326(f136(x55811,x55813),x55814)),f326(f136(x55811,x55813),x55814))
% 163.42/163.16 [5583]~P106(f326(x55832,x55833))+P35(x55831,x55832,f326(f326(f151(x55831),x55833),x55834))
% 163.42/163.16 [5593]E(x55931,x55932)+~E(f139(a920,f326(f301(a920,x55931),x55933)),f326(f326(f151(a920),x55932),x55934))
% 163.42/163.16 [5641]~P28(x56412,x56413)+P28(x56411,f326(f326(f73(x56412,x56411),x56413),x56414))
% 163.42/163.16 [5642]~P39(x56422,x56423)+P39(x56421,f326(f326(f287(x56422,x56421),x56423),x56424))
% 163.42/163.16 [5643]~P40(x56432,x56433)+P40(x56431,f326(f326(f287(x56432,x56431),x56433),x56434))
% 163.42/163.16 [5644]~P53(x56442,x56443)+P53(x56441,f326(f326(f287(x56442,x56441),x56443),x56444))
% 163.42/163.16 [5775]~P35(x57751,x57752,x57754)+P35(x57751,x57752,f326(f326(f151(x57751),x57753),x57754))
% 163.42/163.16 [5776]~P35(x57761,x57762,x57764)+P35(x57761,x57762,f326(f326(f134(x57761),x57763),x57764))
% 163.42/163.16 [5777]~P35(x57771,x57772,x57773)+P35(x57771,x57772,f326(f326(f134(x57771),x57773),x57774))
% 163.42/163.16 [5863]~E(x58631,f113(x58632))+~E(f326(f326(f134(x58632),x58633),f326(f326(f151(x58632),x58634),f113(x58632))),x58631)
% 163.42/163.16 [5888]~P33(x58883,x58881,f326(f326(f151(x58883),x58882),x58884))+P106(f326(x58881,x58882))
% 163.42/163.16 [5898]E(f114(x58981,x58982),x58983)+~E(f326(f326(f134(x58981),x58983),f326(f326(f151(x58981),x58984),f113(x58981))),x58982)
% 163.42/163.16 [5899]E(f144(x58991,x58992),x58993)+~E(f326(f326(f134(x58991),x58994),f326(f326(f151(x58991),x58993),f113(x58991))),x58992)
% 163.42/163.16 [6009]~E(f139(a920,f326(f301(a920,x60091),x60092)),f326(f326(f151(a920),x60093),x60094))+P106(f326(f326(f235(a920),x60091),x60092))
% 163.42/163.16 [6018]P33(x60181,x60182,x60183)+~P33(x60181,x60182,f326(f326(f151(x60181),x60184),x60183))
% 163.42/163.16 [6019]P33(x60191,x60192,x60193)+~P33(x60191,x60192,f326(f326(f134(x60191),x60194),x60193))
% 163.42/163.16 [6020]P33(x60201,x60202,x60203)+~P33(x60201,x60202,f326(f326(f134(x60201),x60203),x60204))
% 163.42/163.16 [6218]E(x62181,f326(f326(f134(x62182),f326(f168(x62182),x62183)),f326(f326(f151(x62182),x62184),f113(x62182))))+~E(f326(f168(x62182),x62181),f326(f326(f151(x62182),x62184),x62183))
% 163.42/163.16 [6400]~P110(x64001)+E(f326(f326(f101(f928(x64001,a916)),f326(f301(x64001,x64002),x64003)),f326(f301(x64001,x64003),x64004)),f189(f928(x64001,a916)))
% 163.42/163.16 [6411]E(f326(f326(f164(x64111),f169(x64111,x64112,x64113)),x64114),x64113)+~P106(f326(f326(f235(a920),x64114),x64112))
% 163.42/163.16 [6438]~P72(x64381)+E(f326(f165(x64381),f326(f326(f154(a1,x64381),x64382),f178(x64383,x64384))),f326(f326(f8(a1,x64381),x64382),f326(f172(a1),f178(x64383,x64384))))
% 163.42/163.16 [6439]~P72(x64391)+E(f326(f326(f8(a1,x64391),x64392),f326(f172(a1),f178(x64393,x64394))),f326(f165(x64391),f326(f326(f154(a1,x64391),x64392),f178(x64393,x64394))))
% 163.42/163.16 [6586]~E(x65862,f326(f326(f134(x65861),f326(f168(x65861),x65864)),f326(f326(f151(x65861),x65863),f113(x65861))))+E(f326(f168(x65861),x65862),f326(f326(f151(x65861),x65863),x65864))
% 163.42/163.16 [6602]~P20(x66022,x66023,x66024,x66021)+E(f326(x66021,f189(f928(x66022,a916))),f31(x66023))
% 163.42/163.16 [6627]~P110(x66271)+E(f326(f326(f101(f928(x66271,a916)),f305(x66271,x66272,x66273)),f326(f301(x66271,x66273),x66274)),f189(f928(x66271,a916)))
% 163.42/163.16 [6840]E(x68401,f189(f928(x68402,a916)))+~E(f312(x68403,x68402,x68404,x68401),f189(f928(f926(x68403,x68402),a916)))
% 163.42/163.16 [6841]E(x68411,f189(f928(x68412,a916)))+~E(f312(x68412,x68413,x68411,x68414),f189(f928(f926(x68412,x68413),a916)))
% 163.42/163.16 [6909]~P109(x69092)+E(f326(f190(f921(x69091)),f150(x69091,x69092,x69093,x69094)),f326(f190(f921(x69091)),x69094))
% 163.42/163.16 [6920]~P106(f326(f249(x69203,x69204,x69201),x69202))+P106(f326(f326(x69201,f556(x69202,x69201)),x69202))
% 163.42/163.16 [6963]~P106(f326(f60(x69632),x69634))+P106(f326(f60(x69631),f326(f309(x69632,x69631,x69633),x69634)))
% 163.42/163.16 [7193]~P26(x71932,x71931,x71933,x71934)+E(f326(f34(x71931),f326(f309(x71932,x71931,x71933),x71934)),f326(f34(x71932),x71934))
% 163.42/163.16 [7211]E(f326(f309(x72111,x72112,x72113),f326(f310(x72111,x72112,x72113),x72114)),x72114)+~E(f326(f309(x72111,x72112,x72113),f241(f928(x72111,a916))),f241(f928(x72112,a916)))
% 163.42/163.16 [7627]~P26(x76271,x76272,x76273,f241(f928(x76271,a916)))+E(f326(f310(x76271,x76272,x76273),f326(f309(x76271,x76272,x76273),x76274)),x76274)
% 163.42/163.16 [7908]E(x79081,x79082)+~P106(f326(f326(f328(x79083),x79081),f326(f172(x79083),f169(x79083,x79084,x79082))))
% 163.42/163.16 [7917]~E(x79171,f2(a920))+~P106(f326(f326(f328(x79172),x79173),f326(f172(x79172),f169(x79172,x79171,x79174))))
% 163.42/163.16 [7950]P106(f326(x79501,x79502))+~P106(f326(f326(f328(x79503),x79502),f326(f172(x79503),f177(x79503,x79501,x79504))))
% 163.42/163.16 [8058]~P106(f326(f326(f328(f921(x80581)),f326(f326(f151(x80581),x80582),x80584)),f161(x80581,x80583)))+P106(f326(f326(f328(x80581),x80582),x80583))
% 163.42/163.16 [8187]~P106(f326(f326(f328(x81871),x81872),f326(f172(x81871),f176(x81871,x81873,x81874))))+P106(f326(f326(f328(x81871),x81872),f326(f172(x81871),x81873)))
% 163.42/163.16 [8188]~P106(f326(f326(f328(x81881),x81882),f326(f172(x81881),f170(x81881,x81884,x81883))))+P106(f326(f326(f328(x81881),x81882),f326(f172(x81881),x81883)))
% 163.42/163.16 [8189]~P106(f326(f326(f328(x81891),x81892),f326(f172(x81891),f177(x81891,x81894,x81893))))+P106(f326(f326(f328(x81891),x81892),f326(f172(x81891),x81893)))
% 163.42/163.16 [8199]E(f326(f190(f921(x81991)),x81992),x81993)+~P106(f326(f326(f328(f921(x81991)),x81992),f326(f172(f921(x81991)),f54(x81991,x81993,x81994))))
% 163.42/163.16 [8294]P106(f326(x82943,x82942))+E(f326(f136(x82941,f326(f326(f10(a916,a916,x82941),a321),f326(a323,x82942))),f326(f136(x82941,x82943),x82944)),f326(f136(x82941,x82943),x82944))
% 163.42/163.16 [8405]E(f326(f326(f164(x84051),f177(x84051,x84052,x84053)),x84054),f326(f326(f164(x84051),x84053),x84054))+~P106(f326(f326(f235(a920),x84054),f326(f190(f921(x84051)),f177(x84051,x84052,x84053))))
% 163.42/163.16 [8491]~P72(x84911)+E(f326(f326(f8(a920,x84911),f326(f326(f10(a920,x84911,a920),x84912),a112)),f326(f301(a920,x84913),x84914)),f326(f326(f8(a920,x84911),x84912),f326(f301(a920,f326(a112,x84913)),f326(a112,x84914))))
% 163.42/163.16 [8500]~P72(x85001)+E(f326(f326(f8(a920,x85001),f326(f326(f10(a920,x85001,a920),x85002),a112)),f302(a920,x85003,x85004)),f326(f326(f8(a920,x85001),x85002),f302(a920,f326(a112,x85003),f326(a112,x85004))))
% 163.42/163.16 [8627]~P26(x86271,x86273,x86274,f241(f928(x86271,a916)))+P26(x86271,f928(x86272,x86273),f326(f326(f10(x86273,f928(x86272,x86273),x86271),f18(x86273,x86272)),x86274),f241(f928(x86271,a916)))
% 163.42/163.16 [8712]~P26(x87122,x87121,x87124,x87123)+E(f326(f309(x87121,x87122,f76(x87122,x87121,x87123,x87124)),f326(f309(x87122,x87121,x87124),x87123)),x87123)
% 163.42/163.16 [8772]~P106(f326(f326(f328(f927(x87721,x87721)),f326(f326(f251(x87721,x87721),x87722),x87724)),f262(x87721,x87723)))+P106(f326(f326(f328(x87721),x87722),x87723))
% 163.42/163.16 [8898]~P26(x88982,x88981,x88983,f241(f928(x88982,a916)))+E(f326(f309(x88981,x88982,f91(x88982,x88981,f241(f928(x88982,a916)),x88983)),f326(f309(x88982,x88981,x88983),x88984)),x88984)
% 163.42/163.16 [8973]~P27(x89731,x89732,x89733,x89734,f241(f928(x89732,a916)))+E(f326(f309(x89731,x89732,x89733),f241(f928(x89731,a916))),f241(f928(x89732,a916)))
% 163.42/163.16 [9006]~E(f326(f326(f8(x90061,a920),x90064),x90063),f326(a112,x90062))+P106(f326(f326(f328(x90061),f913(x90062,x90063,x90064,x90061)),x90063))
% 163.42/163.16 [9027]~E(f326(f326(f8(x90274,a920),x90271),x90273),f326(a112,x90272))+P106(f326(f326(f235(a920),f2(a920)),f326(x90271,f913(x90272,x90273,x90271,x90274))))
% 163.42/163.16 [9038]~P106(f326(f60(x90382),x90384))+P106(f326(f326(f234(a920),f326(f34(x90381),f326(f309(x90382,x90381,x90383),x90384))),f326(f34(x90382),x90384)))
% 163.42/163.16 [9039]E(f326(f326(f251(x90391,x90392),f643(x90393,x90394,x90392,x90391)),f644(x90393,x90394,x90392,x90391)),x90394)+~P106(f326(f326(f328(f927(x90391,x90392)),x90394),f326(f285(x90392,x90391),x90393)))
% 163.42/163.16 [9047]P26(x90471,x90472,x90473,x90474)+P106(f326(f326(f328(x90471),f494(x90474,x90473,x90472,x90471)),x90474))
% 163.42/163.16 [9048]P26(x90481,x90482,x90483,x90484)+P106(f326(f326(f328(x90481),f495(x90484,x90483,x90482,x90481)),x90484))
% 163.42/163.16 [9116]P12(x91161,x91162,x91163,x91164)+P106(f326(f326(f328(f927(x91161,x91161)),f578(x91164,x91163,x91162,x91161)),x91163))
% 163.42/163.16 [9170]P106(f326(x91701,x91702))+~P106(f326(x91701,f326(f326(f251(x91703,x91704),f397(x91704,x91703,x91701)),f398(x91704,x91703,x91701))))
% 163.42/163.16 [9187]E(f326(f190(f921(x91871)),x91872),f326(f190(f921(x91871)),x91873))+~P106(f326(f326(f328(f927(f921(x91871),f921(x91871))),f326(f326(f251(f921(x91871),f921(x91871)),x91872),x91873)),f145(x91871,x91874)))
% 163.42/163.16 [9188]E(f326(f190(f921(x91881)),x91882),f326(f190(f921(x91881)),x91883))+~P106(f326(f326(f328(f927(f921(x91881),f921(x91881))),f326(f326(f251(f921(x91881),f921(x91881)),x91882),x91883)),f157(x91881,x91884)))
% 163.42/163.16 [9191]E(f326(f190(f921(x91911)),x91912),f326(f190(f921(x91911)),x91913))+~P106(f326(f326(f328(f927(f921(x91911),f921(x91911))),f326(f326(f251(f921(x91911),f921(x91911)),x91912),x91913)),f158(x91911,x91914)))
% 163.42/163.16 [9260]P106(f326(f326(f234(a920),f155(x92601,x92602,x92603)),f155(x92601,x92604,x92603)))+P106(f326(f326(f328(x92601),f669(x92604,x92602,x92603,x92601)),f326(f172(x92601),x92603)))
% 163.42/163.16 [9263]E(f326(f190(f921(x92631)),x92632),f326(f190(f921(x92631)),x92633))+~P106(f326(f326(f328(f927(f921(x92631),f921(x92631))),f326(f326(f251(f921(x92631),f921(x92631)),x92632),x92633)),f306(f921(x92631),f157(x92631,x92634))))
% 163.42/163.16 [9501]~P26(x95011,x95012,x95013,x95014)+~P106(f326(f326(f235(a920),f326(f34(x95012),f326(f309(x95011,x95012,x95013),x95014))),f326(f34(x95011),x95014)))
% 163.42/163.16 [9548]~P106(f326(f326(f328(f927(f921(x95481),f921(x95481))),f326(f326(f251(f921(x95481),f921(x95481)),x95482),x95483)),f157(x95481,x95484)))+P106(f326(f326(f328(f927(f921(x95481),f921(x95481))),f326(f326(f251(f921(x95481),f921(x95481)),x95482),x95483)),f158(x95481,f306(x95481,x95484))))
% 163.42/163.16 [9552]~P106(f326(f326(f328(f927(f921(x95521),f921(x95521))),f326(f326(f251(f921(x95521),f921(x95521)),x95522),x95523)),f158(x95521,x95524)))+P106(f326(f326(f328(f927(f921(x95521),f921(x95521))),f326(f326(f251(f921(x95521),f921(x95521)),x95522),x95523)),f306(f921(x95521),f157(x95521,x95524))))
% 163.42/163.16 [9568]P106(f326(f326(f328(f927(x95681,x95681)),f326(f326(f251(x95681,x95681),x95682),x95683)),f306(x95681,x95684)))+~P106(f326(f326(f328(f927(x95681,x95681)),f326(f326(f251(x95681,x95681),x95682),x95683)),f326(f326(f288(x95681,x95681,x95681),x95684),f306(x95681,x95684))))
% 163.42/163.16 [9642]P106(f326(f326(f286(a920),x96421),x96422))+~P106(f326(f326(f235(f928(a920,a916)),f289(a920,f286(a920),x96423,x96424)),f289(a920,f286(a920),x96421,x96422)))
% 163.42/163.16 [9763]E(f326(f326(f134(x97631),f685(x97632,x97633,x97634,x97631)),f326(f326(f151(x97631),f686(x97632,x97633,x97634,x97631)),f688(x97632,x97633,x97634,x97631))),x97634)+~P106(f326(f326(f328(f927(f921(x97631),f921(x97631))),f326(f326(f251(f921(x97631),f921(x97631)),x97634),x97633)),f157(x97631,x97632)))
% 163.42/163.16 [9764]E(f326(f326(f134(x97641),f685(x97642,x97643,x97644,x97641)),f326(f326(f151(x97641),f687(x97642,x97643,x97644,x97641)),f688(x97642,x97643,x97644,x97641))),x97643)+~P106(f326(f326(f328(f927(f921(x97641),f921(x97641))),f326(f326(f251(f921(x97641),f921(x97641)),x97644),x97643)),f157(x97641,x97642)))
% 163.42/163.16 [9842]P106(f326(f326(f328(f927(x98421,x98421)),f326(f326(f251(x98421,x98421),x98422),f637(x98423,x98424,x98422,x98421))),f306(x98421,x98423)))+~P106(f326(f326(f328(f927(x98421,x98421)),f326(f326(f251(x98421,x98421),x98422),x98424)),f326(f326(f288(x98421,x98421,x98421),x98423),f306(x98421,x98423))))
% 163.42/163.16 [9910]P106(f326(f326(f234(a920),f155(x99101,x99102,x99103)),f155(x99101,x99104,x99103)))+~P106(f326(f326(f235(a920),f326(x99102,f669(x99104,x99102,x99103,x99101))),f326(x99104,f669(x99104,x99102,x99103,x99101))))
% 163.42/163.16 [9981]P106(f326(f326(f328(f927(x99811,x99811)),f326(f326(f251(x99811,x99811),f628(x99812,x99813,x99814,x99811)),x99813)),f306(x99811,x99812)))+~P106(f326(f326(f328(f927(x99811,x99811)),f326(f326(f251(x99811,x99811),x99814),x99813)),f326(f326(f288(x99811,x99811,x99811),x99812),f306(x99811,x99812))))
% 163.42/163.16 [5409]~E(x54092,x54093)+E(f170(x54091,x54092,f326(f326(f151(x54091),x54093),x54094)),x54094)
% 163.42/163.16 [5537]P106(f326(x55372,x55373))+E(f177(x55371,x55372,f326(f326(f151(x55371),x55373),x55374)),f113(x55371))
% 163.42/163.16 [5605]~P90(x56052)+E(f326(f326(f78(f928(x56051,x56052)),x56053),x56054),f326(f78(x56052),f326(x56053,x56054)))
% 163.42/163.16 [5618]~E(x56182,f2(a920))+E(f326(f326(f138(x56181),x56182),f326(f326(f151(x56181),x56183),x56184)),f326(f326(f151(x56181),x56183),x56184))
% 163.42/163.16 [5619]P106(f326(x56192,x56193))+E(f326(f136(x56191,x56192),f326(f326(f151(x56191),x56193),x56194)),f326(f136(x56191,x56192),x56194))
% 163.42/163.16 [5758]~E(x57582,x57584)+P106(f326(f326(f326(f308(x57581),x57582),x57583),x57584))
% 163.42/163.16 [5766]E(x57661,f113(x57662))+E(f144(x57663,f326(f326(f154(x57662,x57663),x57664),x57661)),f326(x57664,f144(x57662,x57661)))
% 163.42/163.16 [5780]~E(x57801,f62(x57802,x57804))+E(f326(x57801,f326(f326(f308(x57802),x57803),f189(f928(x57802,a916)))),x57803)
% 163.42/163.16 [5815]E(x58151,f113(x58152))+E(f326(f141(x58153),f326(f326(f154(x58152,x58153),x58154),x58151)),f326(x58154,f326(f141(x58152),x58151)))
% 163.42/163.16 [5918]~P106(f326(x59183,x59184))+P106(f326(f326(f326(f308(x59181),x59182),x59183),x59184))
% 163.42/163.16 [6037]~P19(x60372,x60374,x60371)+E(f326(x60371,f326(f326(f308(x60372),x60373),f189(f928(x60372,a916)))),x60373)
% 163.42/163.16 [6063]~E(x60632,x60633)+P106(f326(f326(f328(x60631),x60632),f326(f326(f308(x60631),x60633),x60634)))
% 163.42/163.16 [6068]~P2(x60681)+E(f326(f326(f110(x60681),x60682),f326(f326(f110(x60681),x60683),x60684)),f326(f326(f110(x60681),x60683),f326(f326(f110(x60681),x60682),x60684)))
% 163.42/163.16 [6070]~P101(x60701)+E(f326(f326(f110(x60701),x60702),f326(f326(f110(x60701),x60703),x60704)),f326(f326(f110(x60701),x60703),f326(f326(f110(x60701),x60702),x60704)))
% 163.42/163.16 [6071]~P113(x60711)+E(f326(f326(f80(x60711),x60712),f326(f326(f80(x60711),x60713),x60714)),f326(f326(f80(x60711),x60713),f326(f326(f80(x60711),x60712),x60714)))
% 163.42/163.16 [6072]~P2(x60721)+E(f326(f326(f101(x60721),x60722),f326(f326(f101(x60721),x60723),x60724)),f326(f326(f101(x60721),x60723),f326(f326(f101(x60721),x60722),x60724)))
% 163.42/163.16 [6074]~P102(x60741)+E(f326(f326(f101(x60741),x60742),f326(f326(f101(x60741),x60743),x60744)),f326(f326(f101(x60741),x60743),f326(f326(f101(x60741),x60742),x60744)))
% 163.42/163.16 [6075]~P113(x60751)+E(f326(f326(f79(x60751),x60752),f326(f326(f79(x60751),x60753),x60754)),f326(f326(f79(x60751),x60753),f326(f326(f79(x60751),x60752),x60754)))
% 163.42/163.16 [6077]~P109(x60771)+E(f326(f326(f188(x60771),x60772),f326(f326(f188(x60771),x60773),x60774)),f326(f326(f188(x60771),x60773),f326(f326(f188(x60771),x60772),x60774)))
% 163.42/163.16 [6079]~P109(x60791)+E(f326(f326(f233(x60791),x60792),f326(f326(f233(x60791),x60793),x60794)),f326(f326(f233(x60791),x60793),f326(f326(f233(x60791),x60792),x60794)))
% 163.42/163.16 [6086]E(x60861,x60862)+E(f170(x60863,x60861,f326(f326(f151(x60863),x60862),x60864)),f326(f326(f151(x60863),x60862),f170(x60863,x60861,x60864)))
% 163.42/163.16 [6101]~P106(f326(x61012,x61013))+E(f326(f136(x61011,x61012),f326(f326(f151(x61011),x61013),x61014)),f326(f326(f151(x61011),x61013),f326(f136(x61011,x61012),x61014)))
% 163.42/163.16 [6240]~P106(f326(x62402,x62403))+E(f177(x62401,x62402,f326(f326(f151(x62401),x62403),x62404)),f326(f326(f151(x62401),x62403),f177(x62401,x62402,x62404)))
% 163.42/163.16 [6292]P25(x62921,x62922,x62923)+~P25(x62921,x62922,f326(f326(f308(f919(x62921)),x62924),x62923))
% 163.42/163.16 [6308]E(x63081,f189(f928(x63082,a916)))+E(f326(f326(f38(x63082,f928(x63083,a916)),x63081),f326(f18(f928(x63083,a916),x63082),x63084)),x63084)
% 163.42/163.16 [6309]E(x63091,f189(f928(x63092,a916)))+E(f326(f326(f39(x63092,f928(x63093,a916)),x63091),f326(f18(f928(x63093,a916),x63092),x63094)),x63094)
% 163.42/163.16 [6318]~E(x63184,f189(f928(x63182,a916)))+E(f326(f326(f253(x63181,x63182),x63183),f326(f18(f928(x63182,a916),x63181),x63184)),f189(f928(f927(x63181,x63182),a916)))
% 163.42/163.16 [6319]~E(x63193,f189(f928(x63191,a916)))+E(f326(f326(f253(x63191,x63192),x63193),f326(f18(f928(x63192,a916),x63191),x63194)),f189(f928(f927(x63191,x63192),a916)))
% 163.42/163.16 [6373]E(x63731,f2(a920))+E(f326(f326(f138(x63732),x63731),f326(f326(f151(x63732),x63733),x63734)),f326(f326(f138(x63732),f326(f326(f3(a920),x63731),f77(a920))),x63734))
% 163.42/163.16 [6394]E(x63941,f189(f928(x63942,a916)))+E(f326(f309(x63942,x63943,f326(f18(x63943,x63942),x63944)),x63941),f326(f326(f308(x63943),x63944),f189(f928(x63943,a916))))
% 163.42/163.16 [6397]E(f326(f310(x63971,x63972,f326(f18(x63972,x63971),x63973)),x63974),f189(f928(x63971,a916)))+P106(f326(f326(f328(x63972),x63973),x63974))
% 163.42/163.16 [6462]~E(x64623,f189(f928(x64621,a916)))+E(f326(f326(f38(x64621,f928(x64622,a916)),x64623),f326(f18(f928(x64622,a916),x64621),x64624)),f241(f928(x64622,a916)))
% 163.42/163.16 [6463]~E(x64633,f189(f928(x64631,a916)))+E(f326(f326(f39(x64631,f928(x64632,a916)),x64633),f326(f18(f928(x64632,a916),x64631),x64634)),f189(f928(x64632,a916)))
% 163.42/163.16 [6465]~P62(x64651)+E(f44(x64651,f326(f326(f80(x64651),x64652),x64653),f326(f326(f80(x64651),x64652),x64654)),f326(f326(f80(x64651),x64652),f44(x64651,x64653,x64654)))
% 163.42/163.16 [6637]E(f326(f310(x66371,x66372,f326(f18(x66372,x66371),x66373)),x66374),f241(f928(x66371,a916)))+~P106(f326(f326(f328(x66372),x66373),x66374))
% 163.42/163.16 [6660]~P106(f326(f326(f328(x66601),x66602),x66604))+P106(f326(f326(f328(x66601),x66602),f326(f326(f308(x66601),x66603),x66604)))
% 163.42/163.16 [6665]P106(f326(x66651,x66652))+~P106(f326(f160(x66653,x66651),f326(f326(f151(x66653),x66652),x66654)))
% 163.42/163.16 [6674]~E(x66743,f326(f326(f3(a920),f326(f190(f921(x66741)),x66742)),f77(a920)))+E(f114(x66741,f326(f326(f159(x66741,x66742),x66743),x66744)),f114(x66741,x66742))
% 163.42/163.16 [6694]~P109(x66941)+E(f326(f326(f101(f928(x66941,a916)),f326(f300(x66941),x66942)),f302(x66941,x66943,x66944)),f302(x66941,x66943,f326(f326(f188(x66941),x66942),x66944)))
% 163.42/163.16 [6695]~P109(x66951)+E(f326(f326(f101(f928(x66951,a916)),f326(f282(x66951),x66952)),f302(x66951,x66953,x66954)),f302(x66951,f326(f326(f233(x66951),x66952),x66953),x66954))
% 163.42/163.16 [6711]E(f326(f326(f101(f928(x67111,a916)),x67112),f326(f326(f308(x67111),x67113),x67114)),f326(f326(f101(f928(x67111,a916)),x67112),x67114))+P106(f326(f326(f328(x67111),x67113),x67112))
% 163.42/163.16 [6723]E(f170(x67231,x67232,f326(f326(f134(x67231),x67233),x67234)),f326(f326(f134(x67231),x67233),f170(x67231,x67232,x67234)))+P106(f326(f326(f328(x67231),x67232),f326(f172(x67231),x67233)))
% 163.42/163.16 [6728]~P82(x67281)+E(f326(f326(f80(x67281),f326(f326(f243(x67281),x67282),x67283)),f326(f326(f243(x67281),x67282),x67284)),f326(f326(f243(x67281),x67282),f326(f326(f79(a920),x67283),x67284)))
% 163.42/163.16 [6729]~P113(x67291)+E(f326(f326(f80(x67291),f326(f326(f243(x67291),x67292),x67293)),f326(f326(f243(x67291),x67292),x67294)),f326(f326(f243(x67291),x67292),f326(f326(f79(a920),x67293),x67294)))
% 163.42/163.16 [6766]~P99(x67661)+E(f326(f326(f101(x67661),f326(f326(f110(x67661),x67662),x67663)),f326(f326(f110(x67661),x67662),x67664)),f326(f326(f110(x67661),x67662),f326(f326(f101(x67661),x67663),x67664)))
% 163.42/163.16 [6767]~P113(x67671)+E(f326(f326(f79(x67671),f326(f326(f80(x67671),x67672),x67673)),f326(f326(f80(x67671),x67672),x67674)),f326(f326(f80(x67671),x67672),f326(f326(f79(x67671),x67673),x67674)))
% 163.42/163.16 [6768]~P99(x67681)+E(f326(f326(f110(x67681),f326(f326(f101(x67681),x67682),x67683)),f326(f326(f101(x67681),x67682),x67684)),f326(f326(f101(x67681),x67682),f326(f326(f110(x67681),x67683),x67684)))
% 163.42/163.16 [6769]~P109(x67691)+E(f326(f326(f233(x67691),f326(f326(f188(x67691),x67692),x67693)),f326(f326(f188(x67691),x67692),x67694)),f326(f326(f188(x67691),x67692),f326(f326(f233(x67691),x67693),x67694)))
% 163.42/163.16 [6770]~P109(x67701)+E(f326(f326(f188(x67701),f326(f326(f233(x67701),x67702),x67703)),f326(f326(f233(x67701),x67702),x67704)),f326(f326(f233(x67701),x67702),f326(f326(f188(x67701),x67703),x67704)))
% 163.42/163.16 [6803]~P62(x68031)+E(f44(x68031,f326(f326(f80(x68031),x68032),x68033),f326(f326(f80(x68031),x68034),x68033)),f326(f326(f80(x68031),f44(x68031,x68032,x68034)),x68033))
% 163.42/163.16 [6806]~E(f326(f190(f921(x68061)),x68063),f326(f190(f921(x68062)),x68064))+E(f326(f326(f154(f927(x68061,x68062),x68062),f255(x68061,x68062)),f326(f326(f181(x68061,x68062),x68063),x68064)),x68064)
% 163.42/163.16 [6807]~E(f326(f190(f921(x68071)),x68073),f326(f190(f921(x68072)),x68074))+E(f326(f326(f154(f927(x68071,x68072),x68071),f250(x68071,x68072)),f326(f326(f181(x68071,x68072),x68073),x68074)),x68073)
% 163.42/163.16 [6812]P106(f326(f160(x68121,x68122),x68123))+~P106(f326(f160(x68121,x68122),f326(f326(f151(x68121),x68124),x68123)))
% 163.42/163.16 [6813]P106(f326(f160(x68131,x68132),x68133))+~P106(f326(f160(x68131,x68132),f326(f326(f134(x68131),x68134),x68133)))
% 163.42/163.16 [6814]P106(f326(f160(x68141,x68142),x68143))+~P106(f326(f160(x68141,x68142),f326(f326(f134(x68141),x68143),x68144)))
% 163.42/163.16 [6819]~P63(x68191)+E(f44(x68191,f326(f326(f3(x68191),x68192),f44(x68191,x68193,x68194)),x68194),f44(x68191,f326(f326(f3(x68191),x68192),x68193),x68194))
% 163.42/163.16 [6820]~P62(x68201)+E(f44(x68201,f326(f326(f80(x68201),x68202),f44(x68201,x68203,x68204)),x68204),f44(x68201,f326(f326(f80(x68201),x68202),x68203),x68204))
% 163.42/163.16 [6822]~P62(x68221)+E(f44(x68221,f326(f326(f79(x68221),x68222),f44(x68221,x68223,x68224)),x68224),f44(x68221,f326(f326(f79(x68221),x68222),x68223),x68224))
% 163.42/163.16 [6902]~P109(x69021)+E(f326(f326(f101(f928(x69021,a916)),f302(x69021,x69022,x69023)),f326(f300(x69021),x69024)),f302(x69021,x69022,f326(f326(f188(x69021),x69023),x69024)))
% 163.42/163.16 [6903]~P109(x69031)+E(f326(f326(f101(f928(x69031,a916)),f302(x69031,x69032,x69033)),f326(f282(x69031),x69034)),f302(x69031,f326(f326(f233(x69031),x69032),x69034),x69033))
% 163.42/163.16 [6906]~E(f326(f190(f921(x69061)),x69063),f326(f190(f921(x69062)),x69064))+E(f326(f326(f181(x69061,x69062),f326(f168(x69061),x69063)),f326(f168(x69062),x69064)),f326(f168(f927(x69061,x69062)),f326(f326(f181(x69061,x69062),x69063),x69064)))
% 163.42/163.16 [6917]E(x69171,f326(f326(f3(a920),f326(f190(f921(x69172)),x69173)),f77(a920)))+E(f114(x69172,f326(f326(f159(x69172,x69173),x69171),x69174)),f326(f326(f159(x69172,f114(x69172,x69173)),x69171),x69174))
% 163.42/163.16 [6932]~P106(f326(f137(x69322),x69324))+P106(f326(f137(f927(x69321,x69322)),f326(f326(f181(x69321,x69322),x69323),x69324)))
% 163.42/163.16 [6933]~P106(f326(f137(x69331),x69333))+P106(f326(f137(f927(x69331,x69332)),f326(f326(f181(x69331,x69332),x69333),x69334)))
% 163.42/163.16 [7196]E(f326(f326(f35(a920),x71961),x71962),x71963)+~P106(f326(f47(x71961,x71962),f326(f326(f251(a920,a920),x71963),x71964)))
% 163.42/163.16 [7219]E(f44(a920,x72191,x72192),x72193)+~P106(f326(f47(x72191,x72192),f326(f326(f251(a920,a920),x72194),x72193)))
% 163.42/163.16 [7222]P106(f326(f137(x72221),x72222))+~P106(f326(f137(x72223),f326(f326(f154(x72221,x72223),x72224),x72222)))
% 163.42/163.16 [7230]~P25(x72301,x72302,f326(f326(f308(f919(x72301)),x72303),x72304))+P25(x72301,x72302,f326(f326(f308(f919(x72301)),x72303),f189(f928(f919(x72301),a916))))
% 163.42/163.16 [7307]E(f170(x73071,x73072,f326(f326(f134(x73071),x73073),x73074)),f326(f326(f134(x73071),f170(x73071,x73072,x73073)),x73074))+~P106(f326(f326(f328(x73071),x73072),f326(f172(x73071),x73073)))
% 163.42/163.16 [7400]~P63(x74001)+E(f44(x74001,f326(f326(f3(x74001),f44(x74001,x74002,x74003)),x74004),x74003),f44(x74001,f326(f326(f3(x74001),x74002),x74004),x74003))
% 163.42/163.16 [7403]~P62(x74031)+E(f44(x74031,f326(f326(f80(x74031),f44(x74031,x74032,x74033)),x74034),x74033),f44(x74031,f326(f326(f80(x74031),x74032),x74034),x74033))
% 163.42/163.16 [7404]~P62(x74041)+E(f44(x74041,f326(f326(f79(x74041),f44(x74041,x74042,x74043)),x74044),x74043),f44(x74041,f326(f326(f79(x74041),x74042),x74044),x74043))
% 163.42/163.16 [7597]~E(x75971,f326(f326(f151(x75972),x75973),x75974))+~P106(f326(f326(f234(a920),f326(f190(f921(x75972)),x75971)),f326(f190(f921(x75972)),x75974)))
% 163.42/163.16 [7799]P26(x77991,x77992,x77993,f326(f172(x77991),x77994))+~P106(f326(f137(x77992),f326(f326(f154(x77991,x77992),x77993),x77994)))
% 163.42/163.16 [7874]~P106(f326(f326(f234(f928(x78741,a916)),x78742),x78744))+P106(f326(f326(f234(f928(x78741,a916)),x78742),f326(f326(f308(x78741),x78743),x78744)))
% 163.42/163.16 [7909]~P63(x79091)+E(f44(x79091,f326(f326(f3(x79091),f44(x79091,x79092,x79093)),f44(x79091,x79094,x79093)),x79093),f44(x79091,f326(f326(f3(x79091),x79092),x79094),x79093))
% 163.42/163.16 [7910]~P62(x79101)+E(f44(x79101,f326(f326(f80(x79101),f44(x79101,x79102,x79103)),f44(x79101,x79104,x79103)),x79103),f44(x79101,f326(f326(f80(x79101),x79102),x79104),x79103))
% 163.42/163.16 [7911]~P62(x79111)+E(f44(x79111,f326(f326(f79(x79111),f44(x79111,x79112,x79113)),f44(x79111,x79114,x79113)),x79113),f44(x79111,f326(f326(f79(x79111),x79112),x79114),x79113))
% 163.42/163.16 [8013]~E(f326(x80134,f422(x80134,x80133,x80131,x80132)),f189(f928(x80132,a916)))+E(f326(f326(f39(x80131,f928(x80132,a916)),x80133),x80134),f189(f928(x80132,a916)))
% 163.42/163.16 [8014]~E(f326(x80144,f425(x80144,x80143,x80141,x80142)),f241(f928(x80142,a916)))+E(f326(f326(f38(x80141,f928(x80142,a916)),x80143),x80144),f241(f928(x80142,a916)))
% 163.42/163.16 [8015]~E(f326(x80154,f430(x80154,x80153,x80152,x80151)),f241(f928(x80152,a916)))+E(f326(f326(f38(x80151,f928(x80152,a916)),x80153),x80154),f241(f928(x80152,a916)))
% 163.42/163.16 [8016]~E(f326(x80164,f423(x80164,x80163,x80162,x80161)),f189(f928(x80162,a916)))+E(f326(f326(f39(x80161,f928(x80162,a916)),x80163),x80164),f189(f928(x80162,a916)))
% 163.42/163.16 [8406]P106(f326(x84061,x84062))+~P106(f326(f326(f328(x84063),x84062),f326(f326(f101(f928(x84063,a916)),x84064),f326(f261(x84063),x84061))))
% 163.42/163.16 [8443]~P106(f326(f326(f234(f928(x84431,a916)),x84433),x84434))+P106(f326(f326(f234(f928(x84431,a916)),f326(f326(f308(x84431),x84432),x84433)),f326(f326(f308(x84431),x84432),x84434)))
% 163.42/163.16 [8620]P106(f326(x86202,x86203))+E(f326(f326(f138(x86201),f326(f190(f921(x86201)),f177(x86201,x86202,f326(f326(f151(x86201),x86203),x86204)))),f326(f326(f151(x86201),x86203),x86204)),f326(f326(f151(x86201),x86203),x86204))
% 163.42/163.16 [8726]~P106(f326(f326(f235(a920),f326(x87264,x87262)),f326(x87264,x87263)))+P106(f326(f326(f328(f927(x87261,x87261)),f326(f326(f251(x87261,x87261),x87262),x87263)),f326(f326(f287(a920,x87261),a239),x87264)))
% 163.42/163.16 [8822]~P106(f326(x88222,f742(x88224,x88222,x88223,x88221)))+E(f177(x88221,x88222,f326(f326(f134(x88221),x88223),x88224)),f326(f326(f134(x88221),x88223),f177(x88221,x88222,x88224)))
% 163.42/163.16 [8902]P26(f921(x89021),f921(x89022),f326(f154(x89021,x89022),x89023),x89024)+~P26(x89021,x89022,x89023,f36(f928(x89021,a916),f326(f309(f921(x89021),f928(x89021,a916),f172(x89021)),x89024)))
% 163.42/163.16 [8977]~P106(f326(x89772,x89773))+E(f326(f326(f138(x89771),f326(f190(f921(x89771)),f177(x89771,x89772,f326(f326(f151(x89771),x89773),x89774)))),f326(f326(f151(x89771),x89773),x89774)),f326(f326(f138(x89771),f326(f190(f921(x89771)),f177(x89771,x89772,x89774))),x89774))
% 163.42/163.16 [9018]~E(x90182,x90183)+E(f326(f136(x90181,f326(f326(f10(a916,a916,x90181),a321),f326(a323,x90182))),f326(f326(f151(x90181),x90183),x90184)),f326(f136(x90181,f326(f326(f10(a916,a916,x90181),a321),f326(a323,x90182))),x90184))
% 163.42/163.16 [9028]E(f326(f326(f39(x90281,f928(x90282,a916)),x90283),x90284),f189(f928(x90282,a916)))+P106(f326(f326(f328(x90281),f422(x90284,x90283,x90281,x90282)),x90283))
% 163.42/163.16 [9029]E(f326(f326(f38(x90291,f928(x90292,a916)),x90293),x90294),f241(f928(x90292,a916)))+P106(f326(f326(f328(x90291),f425(x90294,x90293,x90291,x90292)),x90293))
% 163.42/163.16 [9030]E(f326(f326(f38(x90301,f928(x90302,a916)),x90303),x90304),f241(f928(x90302,a916)))+P106(f326(f326(f328(x90301),f430(x90304,x90303,x90302,x90301)),x90303))
% 163.42/163.16 [9031]E(f326(f326(f39(x90311,f928(x90312,a916)),x90313),x90314),f189(f928(x90312,a916)))+P106(f326(f326(f328(x90311),f423(x90314,x90313,x90312,x90311)),x90313))
% 163.42/163.16 [9069]P106(f326(f326(f235(a920),f326(x90691,x90692)),f326(x90691,x90693)))+~P106(f326(f326(f328(f927(x90694,x90694)),f326(f326(f251(x90694,x90694),x90692),x90693)),f326(f326(f287(a920,x90694),a239),x90691)))
% 163.42/163.16 [9095]E(f177(x90951,x90952,f326(f326(f134(x90951),x90953),x90954)),f326(f326(f134(x90951),x90953),f177(x90951,x90952,x90954)))+P106(f326(f326(f328(x90951),f742(x90954,x90952,x90953,x90951)),f326(f172(x90951),x90953)))
% 163.42/163.16 [9146]~P27(x91461,x91462,x91463,f241(f928(x91461,a916)),f241(f928(x91462,a916)))+E(f326(f309(x91461,x91462,x91463),f326(f78(f928(x91461,a916)),x91464)),f326(f78(f928(x91462,a916)),f326(f309(x91461,x91462,x91463),x91464)))
% 163.42/163.16 [9249]P106(f326(f326(f328(x92491),f480(x92492,x92493,x92494,x92491)),x92493))+~P106(f326(f326(f328(f928(x92491,a916)),x92494),f326(f326(f59(x92491),x92493),x92492)))
% 163.42/163.16 [9252]E(x92521,x92522)+~P106(f326(f326(f328(f927(x92523,x92523)),f326(f326(f251(x92523,x92523),x92521),x92522)),f326(f326(f183(f927(x92523,x92523),a916),f2(a920)),x92524)))
% 163.42/163.16 [9333]E(f326(f284(x93331,x93331,x93332),f326(f326(f308(x93331),f480(x93332,x93333,x93334,x93331)),f189(f928(x93331,a916)))),x93334)+~P106(f326(f326(f328(f928(x93331,a916)),x93334),f326(f326(f59(x93331),x93333),x93332)))
% 163.42/163.16 [9338]~P106(f326(f326(f328(f927(x93381,x93381)),f326(f326(f251(x93381,x93381),x93383),x93382)),f306(x93381,x93384)))+P106(f326(f326(f328(f927(x93381,x93381)),f326(f326(f251(x93381,x93381),x93382),x93383)),f306(x93381,f326(f285(x93381,x93381),x93384))))
% 163.42/163.16 [9351]~P62(x93511)+E(f326(f326(f79(x93511),f326(f326(f79(x93511),f326(f326(f80(x93511),x93512),f326(f326(f35(x93511),x93513),x93512))),f44(x93511,x93513,x93512))),x93514),f326(f326(f79(x93511),x93513),x93514))
% 163.42/163.16 [9362]~P106(f326(f326(f328(x93621),x93623),x93624))+P106(f326(f326(f328(f928(x93621,a916)),f326(f284(x93621,x93621,x93622),f326(f326(f308(x93621),x93623),f189(f928(x93621,a916))))),f326(f326(f59(x93621),x93624),x93622)))
% 163.42/163.16 [9374]P106(f326(f326(f328(f927(x93741,x93741)),f326(f326(f251(x93741,x93741),x93742),x93743)),f306(x93741,x93744)))+~P106(f326(f326(f328(f927(x93741,x93741)),f326(f326(f251(x93741,x93741),x93743),x93742)),f306(x93741,f326(f285(x93741,x93741),x93744))))
% 163.42/163.16 [9460]E(f326(f326(f159(x94601,f326(f168(x94601),x94602)),f326(f326(f3(a920),f326(f326(f3(a920),f326(f190(f921(x94601)),x94602)),x94603)),f77(a920))),x94604),f326(f168(x94601),f326(f326(f159(x94601,x94602),x94603),x94604)))+~P106(f326(f326(f235(a920),x94603),f326(f190(f921(x94601)),x94602)))
% 163.42/163.16 [9463]~P106(f326(x94632,f736(x94634,x94632,x94633,x94631)))+E(f326(f326(f138(x94631),f326(f190(f921(x94631)),f177(x94631,x94632,f326(f326(f134(x94631),x94633),x94634)))),f326(f326(f134(x94631),x94633),x94634)),f326(f326(f138(x94631),f326(f190(f921(x94631)),f177(x94631,x94632,x94634))),x94634))
% 163.42/163.16 [9509]~P26(x95092,x95091,x95093,f241(f928(x95092,a916)))+P106(f326(f326(f234(f928(x95091,a916)),f326(f309(x95092,x95091,x95093),f326(f78(f928(x95092,a916)),x95094))),f326(f78(f928(x95091,a916)),f326(f309(x95092,x95091,x95093),x95094))))
% 163.42/163.16 [9521]~P6(x95211)+E(f326(f142(x95211,x95212,f326(f9(x95212,x95211,x95211),f326(f326(f10(x95211,f928(x95211,x95211),x95212),f101(x95211)),x95213)),f241(x95211)),x95214),f326(f326(f38(x95212,x95211),f326(f172(x95212),x95214)),x95213))
% 163.42/163.16 [9522]~P6(x95221)+E(f326(f142(x95221,x95222,f326(f9(x95222,x95221,x95221),f326(f326(f10(x95221,f928(x95221,x95221),x95222),f110(x95221)),x95223)),f189(x95221)),x95224),f326(f326(f39(x95222,x95221),f326(f172(x95222),x95224)),x95223))
% 163.42/163.16 [9532]E(f326(f326(f138(x95321),f326(f190(f921(x95321)),f177(x95321,x95322,f326(f326(f134(x95321),x95323),x95324)))),f326(f326(f134(x95321),x95323),x95324)),f326(f326(f138(x95321),f326(f190(f921(x95321)),f177(x95321,x95322,x95324))),x95324))+P106(f326(f326(f328(x95321),f736(x95324,x95322,x95323,x95321)),f326(f172(x95321),x95323)))
% 163.42/163.16 [9602]~P106(f326(f326(f328(f927(f921(x96024),f921(x96024))),f326(f326(f251(f921(x96024),f921(x96024)),x96023),x96022)),f157(x96024,x96021)))+P106(f326(f326(f235(a920),f670(x96021,x96022,x96023,x96024)),f326(f190(f921(x96024)),x96023)))
% 163.42/163.16 [9603]~P62(x96031)+E(f326(f326(f79(x96031),f326(f326(f79(x96031),f326(f326(f80(x96031),f326(f326(f35(x96031),x96032),x96033)),x96033)),f44(x96031,x96032,x96033))),x96034),f326(f326(f79(x96031),x96032),x96034))
% 163.42/163.16 [9632]~P106(f326(f326(f328(f927(f921(x96321),f921(x96321))),f326(f326(f251(f921(x96321),f921(x96321)),x96322),x96323)),f326(f285(f921(x96321),f921(x96321)),f157(x96321,x96324))))+P106(f326(f326(f328(f927(f921(x96321),f921(x96321))),f326(f326(f251(f921(x96321),f921(x96321)),x96322),x96323)),f157(x96321,f326(f285(x96321,x96321),x96324))))
% 163.42/163.16 [9633]P106(f326(f326(f328(f927(f921(x96331),f921(x96331))),f326(f326(f251(f921(x96331),f921(x96331)),x96332),x96333)),f326(f285(f921(x96331),f921(x96331)),f157(x96331,x96334))))+~P106(f326(f326(f328(f927(f921(x96331),f921(x96331))),f326(f326(f251(f921(x96331),f921(x96331)),x96332),x96333)),f157(x96331,f326(f285(x96331,x96331),x96334))))
% 163.42/163.16 [9675]~P106(f326(f326(f328(x96751),x96753),f326(f263(x96751,x96752),x96754)))+P106(f326(f326(f328(f927(x96751,x96752)),f326(f326(f251(x96751,x96752),x96753),f569(x96754,x96752,x96753,x96751))),x96754))
% 163.42/163.16 [9676]~P106(f326(f326(f328(x96761),x96763),f326(f263(x96761,x96762),x96764)))+P106(f326(f326(f328(f927(x96761,x96762)),f326(f326(f251(x96761,x96762),x96763),f570(x96764,x96762,x96763,x96761))),x96764))
% 163.42/163.16 [9837]~P106(f326(f326(f328(f927(x98371,x98371)),f326(f326(f251(x98371,x98371),x98372),x98374)),f326(f326(f288(x98371,x98371,x98371),x98373),f306(x98371,x98373))))+P106(f326(f326(f328(f927(x98371,x98371)),f326(f326(f251(x98371,x98371),x98372),f628(x98373,x98374,x98372,x98371))),x98373))
% 163.42/163.16 [9995]P12(x99951,x99952,x99953,x99954)+P106(f326(f326(f328(f927(x99951,x99951)),f326(f326(f251(x99951,x99951),f830(x99952,x99954,x99953,x99951)),f829(x99952,x99954,x99953,x99951))),x99953))
% 163.42/163.16 [10002]~P106(f326(f326(f328(f927(x100022,x100021)),x100024),f326(f285(x100021,x100022),x100023)))+P106(f326(f326(f328(f927(x100021,x100022)),f326(f326(f251(x100021,x100022),f644(x100023,x100024,x100021,x100022)),f643(x100023,x100024,x100021,x100022))),x100023))
% 163.42/163.16 [10026]~P106(f326(f326(f328(f927(f921(x100261),f921(x100261))),f326(f326(f251(f921(x100261),f921(x100261)),x100264),x100263)),f157(x100261,x100262)))+P106(f326(f326(f328(f927(x100261,x100261)),f326(f326(f251(x100261,x100261),f686(x100262,x100263,x100264,x100261)),f687(x100262,x100263,x100264,x100261))),x100262))
% 163.42/163.16 [10117]~P106(f326(f326(f328(f927(f921(x101171),f921(x101171))),f326(f326(f251(f921(x101171),f921(x101171)),x101172),x101174)),f157(x101171,x101173)))+P106(f326(f326(f328(f927(x101171,x101171)),f326(f326(f251(x101171,x101171),f326(f326(f164(x101171),x101172),f670(x101173,x101174,x101172,x101171))),f671(x101173,x101174,x101172,x101171))),x101173))
% 163.42/163.16 [10139]~P106(f326(f60(x101392),x101394))+E(f326(f326(f326(f64(f928(x101391,a916),x101392,f110(f928(x101391,a916))),f326(f326(f9(x101392,f928(x101391,a916),f928(x101391,a916)),f326(f326(f10(x101391,f928(f928(x101391,a916),f928(x101391,a916)),x101392),f308(x101391)),x101393)),f189(f928(x101391,a916)))),f189(f928(x101391,a916))),x101394),f326(f309(x101392,x101391,x101393),x101394))
% 163.42/163.16 [10249]~P26(x102491,x102492,x102493,f241(f928(x102491,a916)))+P106(f326(f326(f234(f928(x102491,a916)),f326(f310(x102491,x102492,x102493),f326(f326(f308(x102492),x102494),f189(f928(x102492,a916))))),f326(f326(f308(x102491),f84(x102491,f326(f326(f9(x102491,x102492,a916),f326(f326(f10(x102492,f928(x102492,a916),x102491),a323),x102493)),x102494))),f189(f928(x102491,a916)))))
% 163.42/163.16 [5826]~E(f326(f326(f134(x58261),x58262),x58264),x58263)+E(f326(f326(f175(x58261),f326(f190(f921(x58261)),x58262)),x58263),x58262)
% 163.42/163.16 [5827]~E(f326(f326(f134(x58272),x58273),x58271),x58274)+E(x58271,f326(f326(f138(x58272),f326(f190(f921(x58272)),x58273)),x58274))
% 163.42/163.16 [5838]~E(x58384,f2(a920))+E(f326(f326(f164(x58381),f326(f326(f151(x58381),x58382),x58383)),x58384),x58382)
% 163.42/163.16 [6386]~P113(x63861)+E(f326(f326(f243(x63861),f326(f326(f243(x63861),x63862),x63863)),x63864),f326(f326(f243(x63861),x63862),f326(f326(f80(a920),x63863),x63864)))
% 163.42/163.16 [6387]~P82(x63871)+E(f326(f326(f243(x63871),f326(f326(f243(x63871),x63872),x63873)),x63874),f326(f326(f243(x63871),x63872),f326(f326(f80(a920),x63873),x63874)))
% 163.42/163.16 [6395]E(x63951,f2(a920))+E(f326(f326(f164(x63952),f326(f326(f151(x63952),x63953),x63954)),x63951),f326(f326(f164(x63952),x63954),f326(f326(f3(a920),x63951),f77(a920))))
% 163.42/163.16 [6421]~P124(x64211)+E(f326(f326(f290(x64211),f326(f326(f80(x64211),x64212),x64213)),x64214),f326(f326(f80(x64211),x64212),f326(f326(f290(x64211),x64213),x64214)))
% 163.42/163.16 [6423]~P2(x64231)+E(f326(f326(f110(x64231),f326(f326(f110(x64231),x64232),x64233)),x64234),f326(f326(f110(x64231),x64232),f326(f326(f110(x64231),x64233),x64234)))
% 163.42/163.16 [6425]~P101(x64251)+E(f326(f326(f110(x64251),f326(f326(f110(x64251),x64252),x64253)),x64254),f326(f326(f110(x64251),x64252),f326(f326(f110(x64251),x64253),x64254)))
% 163.42/163.16 [6426]~P70(x64261)+E(f326(f326(f80(x64261),f326(f326(f80(x64261),x64262),x64263)),x64264),f326(f326(f80(x64261),x64262),f326(f326(f80(x64261),x64263),x64264)))
% 163.42/163.16 [6427]~P113(x64271)+E(f326(f326(f80(x64271),f326(f326(f80(x64271),x64272),x64273)),x64274),f326(f326(f80(x64271),x64272),f326(f326(f80(x64271),x64273),x64274)))
% 163.42/163.16 [6429]~P2(x64291)+E(f326(f326(f101(x64291),f326(f326(f101(x64291),x64292),x64293)),x64294),f326(f326(f101(x64291),x64292),f326(f326(f101(x64291),x64293),x64294)))
% 163.42/163.16 [6431]~P102(x64311)+E(f326(f326(f101(x64311),f326(f326(f101(x64311),x64312),x64313)),x64314),f326(f326(f101(x64311),x64312),f326(f326(f101(x64311),x64313),x64314)))
% 163.42/163.16 [6432]~P71(x64321)+E(f326(f326(f79(x64321),f326(f326(f79(x64321),x64322),x64323)),x64324),f326(f326(f79(x64321),x64322),f326(f326(f79(x64321),x64323),x64324)))
% 163.42/163.16 [6433]~P113(x64331)+E(f326(f326(f79(x64331),f326(f326(f79(x64331),x64332),x64333)),x64334),f326(f326(f79(x64331),x64332),f326(f326(f79(x64331),x64333),x64334)))
% 163.42/163.16 [6435]~P109(x64351)+E(f326(f326(f188(x64351),f326(f326(f188(x64351),x64352),x64353)),x64354),f326(f326(f188(x64351),x64352),f326(f326(f188(x64351),x64353),x64354)))
% 163.42/163.16 [6437]~P109(x64371)+E(f326(f326(f233(x64371),f326(f326(f233(x64371),x64372),x64373)),x64374),f326(f326(f233(x64371),x64372),f326(f326(f233(x64371),x64373),x64374)))
% 163.42/163.16 [6446]~P62(x64461)+E(f44(x64461,f326(f326(f79(x64461),x64462),f326(f326(f80(x64461),x64463),x64464)),x64464),f44(x64461,x64462,x64464))
% 163.42/163.16 [6447]~P62(x64471)+E(f44(x64471,f326(f326(f79(x64471),x64472),f326(f326(f80(x64471),x64473),x64474)),x64473),f44(x64471,x64472,x64473))
% 163.42/163.16 [6587]E(f326(f326(f164(x65871),f326(f326(f175(x65871),x65872),x65873)),x65874),f326(f326(f164(x65871),x65873),x65874))+~P106(f326(f326(f235(a920),x65874),x65872))
% 163.42/163.16 [6762]~E(x67622,x67624)+P106(f326(f326(f172(x67621),f326(f326(f151(x67621),x67622),x67623)),x67624))
% 163.42/163.16 [6764]~P113(x67641)+E(f326(f326(f80(x67641),f326(f326(f80(x67641),x67642),x67643)),x67644),f326(f326(f80(x67641),f326(f326(f80(x67641),x67642),x67644)),x67643))
% 163.42/163.16 [6765]~P113(x67651)+E(f326(f326(f79(x67651),f326(f326(f79(x67651),x67652),x67653)),x67654),f326(f326(f79(x67651),f326(f326(f79(x67651),x67652),x67654)),x67653))
% 163.42/163.16 [6825]~P146(x68252)+E(f326(f326(f8(x68251,x68252),f326(f18(x68252,x68251),x68253)),x68254),f326(f326(f80(x68252),f326(f100(x68252),f326(f34(x68251),x68254))),x68253))
% 163.42/163.16 [6995]E(f326(f326(f101(f928(x69951,a916)),f326(f326(f308(x69951),x69952),x69953)),x69954),f326(f326(f101(f928(x69951,a916)),x69953),x69954))+P106(f326(f326(f328(x69951),x69952),x69954))
% 163.42/163.16 [7064]~P99(x70641)+E(f326(f326(f101(x70641),f326(f326(f110(x70641),x70642),x70643)),f326(f326(f110(x70641),x70644),x70643)),f326(f326(f110(x70641),f326(f326(f101(x70641),x70642),x70644)),x70643))
% 163.42/163.16 [7065]~P80(x70651)+E(f326(f326(f188(x70651),f326(f326(f3(x70651),x70652),x70653)),f326(f326(f3(x70651),x70654),x70653)),f326(f326(f3(x70651),f326(f326(f188(x70651),x70652),x70654)),x70653))
% 163.42/163.16 [7066]~P80(x70661)+E(f326(f326(f233(x70661),f326(f326(f3(x70661),x70662),x70663)),f326(f326(f3(x70661),x70664),x70663)),f326(f326(f3(x70661),f326(f326(f233(x70661),x70662),x70664)),x70663))
% 163.42/163.16 [7068]~P114(x70681)+E(f326(f326(f79(x70681),f326(f326(f80(x70681),x70682),x70683)),f326(f326(f80(x70681),x70684),x70683)),f326(f326(f80(x70681),f326(f326(f79(x70681),x70682),x70684)),x70683))
% 163.42/163.16 [7069]~P99(x70691)+E(f326(f326(f110(x70691),f326(f326(f101(x70691),x70692),x70693)),f326(f326(f101(x70691),x70694),x70693)),f326(f326(f101(x70691),f326(f326(f110(x70691),x70692),x70694)),x70693))
% 163.42/163.16 [7070]~P85(x70701)+E(f326(f326(f188(x70701),f326(f326(f79(x70701),x70702),x70703)),f326(f326(f79(x70701),x70704),x70703)),f326(f326(f79(x70701),f326(f326(f188(x70701),x70702),x70704)),x70703))
% 163.42/163.16 [7071]~P85(x70711)+E(f326(f326(f233(x70711),f326(f326(f79(x70711),x70712),x70713)),f326(f326(f79(x70711),x70714),x70713)),f326(f326(f79(x70711),f326(f326(f233(x70711),x70712),x70714)),x70713))
% 163.42/163.16 [7072]~P109(x70721)+E(f326(f326(f233(x70721),f326(f326(f188(x70721),x70722),x70723)),f326(f326(f188(x70721),x70724),x70723)),f326(f326(f188(x70721),f326(f326(f233(x70721),x70722),x70724)),x70723))
% 163.42/163.16 [7073]~P124(x70731)+E(f326(f326(f3(x70731),f326(f326(f290(x70731),x70732),x70733)),f326(f326(f290(x70731),x70734),x70733)),f326(f326(f290(x70731),f326(f326(f3(x70731),x70732),x70734)),x70733))
% 163.42/163.16 [7074]~P124(x70741)+E(f326(f326(f79(x70741),f326(f326(f290(x70741),x70742),x70743)),f326(f326(f290(x70741),x70744),x70743)),f326(f326(f290(x70741),f326(f326(f79(x70741),x70742),x70744)),x70743))
% 163.42/163.16 [7075]~P113(x70751)+E(f326(f326(f80(x70751),f326(f326(f243(x70751),x70752),x70753)),f326(f326(f243(x70751),x70754),x70753)),f326(f326(f243(x70751),f326(f326(f80(x70751),x70752),x70754)),x70753))
% 163.42/163.16 [7076]~P77(x70761)+E(f326(f326(f80(x70761),f326(f326(f243(x70761),x70762),x70763)),f326(f326(f243(x70761),x70764),x70763)),f326(f326(f243(x70761),f326(f326(f80(x70761),x70762),x70764)),x70763))
% 163.42/163.16 [7077]~P65(x70771)+E(f326(f326(f290(x70771),f326(f326(f243(x70771),x70772),x70773)),f326(f326(f243(x70771),x70774),x70773)),f326(f326(f243(x70771),f326(f326(f290(x70771),x70772),x70774)),x70773))
% 163.42/163.16 [7078]~P109(x70781)+E(f326(f326(f188(x70781),f326(f326(f233(x70781),x70782),x70783)),f326(f326(f233(x70781),x70784),x70783)),f326(f326(f233(x70781),f326(f326(f188(x70781),x70782),x70784)),x70783))
% 163.42/163.16 [7079]~P113(x70791)+E(f326(f326(f79(x70791),f326(f326(f80(x70791),x70792),x70793)),f326(f326(f80(x70791),x70794),x70793)),f326(f326(f80(x70791),f326(f326(f79(x70791),x70792),x70794)),x70793))
% 163.42/163.16 [7111]E(f326(f326(f159(x71111,x71112),x71113),x71114),x71112)+~P106(f326(f326(f234(a920),f326(f190(f921(x71111)),x71112)),x71113))
% 163.42/163.16 [7137]~P106(f326(x71373,x71374))+P106(f326(f326(f326(f110(f928(x71371,a916)),x71372),x71373),x71374))
% 163.42/163.16 [7139]~P106(f326(x71392,x71394))+P106(f326(f326(f326(f110(f928(x71391,a916)),x71392),x71393),x71394))
% 163.42/163.16 [7158]E(f326(f326(f164(x71581),f326(f326(f134(x71581),x71582),x71583)),x71584),f326(f326(f164(x71581),x71582),x71584))+~P106(f326(f326(f235(a920),x71584),f326(f190(f921(x71581)),x71582)))
% 163.42/163.16 [7169]E(f326(f326(f3(f928(x71691,a916)),f326(f326(f308(x71691),x71692),x71693)),x71694),f326(f326(f3(f928(x71691,a916)),x71693),x71694))+~P106(f326(f326(f328(x71691),x71692),x71694))
% 163.42/163.16 [7209]~E(f139(a920,f326(f301(a920,x72091),x72092)),f326(f326(f151(a920),x72094),x72093))+E(f139(a920,f326(f301(a920,f326(f326(f79(a920),x72091),f77(a920))),x72092)),x72093)
% 163.42/163.16 [7231]~P106(f326(f326(f172(x72311),x72313),x72314))+P106(f326(f326(f172(x72311),f326(f326(f151(x72311),x72312),x72313)),x72314))
% 163.42/163.16 [7282]E(x72821,f2(a920))+E(f326(f326(f151(x72822),x72823),f326(f326(f175(x72822),f326(f326(f3(a920),x72821),f77(a920))),x72824)),f326(f326(f175(x72822),x72821),f326(f326(f151(x72822),x72823),x72824)))
% 163.42/163.16 [7384]E(f326(f326(f164(x73841),x73842),f326(f326(f3(a920),x73843),f326(f190(f921(x73841)),x73844))),f326(f326(f164(x73841),f326(f326(f134(x73841),x73844),x73842)),x73843))+P106(f326(f326(f235(a920),x73843),f326(f190(f921(x73841)),x73844)))
% 163.42/163.16 [7414]E(f326(f326(f101(f928(x74141,a916)),x74142),f326(f326(f308(x74141),x74143),x74144)),f326(f326(f308(x74141),x74143),f326(f326(f101(f928(x74141,a916)),x74142),x74144)))+~P106(f326(f326(f328(x74141),x74143),x74142))
% 163.42/163.16 [7452]E(f326(f326(f164(x74521),f326(f326(f159(x74521,x74522),x74523),x74524)),x74523),x74524)+~P106(f326(f326(f235(a920),x74523),f326(f190(f921(x74521)),x74522)))
% 163.42/163.16 [7474]E(x74741,f189(f928(x74742,a916)))+E(f326(f309(f927(x74743,x74742),x74743,f250(x74743,x74742)),f326(f326(f253(x74743,x74742),x74744),f326(f18(f928(x74742,a916),x74743),x74741))),x74744)
% 163.42/163.16 [7475]E(x74751,f189(f928(x74752,a916)))+E(f326(f309(f927(x74752,x74753),x74753,f255(x74752,x74753)),f326(f326(f253(x74752,x74753),x74751),f326(f18(f928(x74753,a916),x74752),x74754))),x74754)
% 163.42/163.16 [7547]E(f326(f326(f3(f928(x75471,a916)),f326(f326(f308(x75471),x75472),x75473)),x75474),f326(f326(f308(x75471),x75472),f326(f326(f3(f928(x75471,a916)),x75473),x75474)))+P106(f326(f326(f328(x75471),x75472),x75474))
% 163.42/163.16 [7583]~E(x75834,f189(f928(x75832,a916)))+E(f326(f309(f927(x75831,x75832),x75831,f250(x75831,x75832)),f326(f326(f253(x75831,x75832),x75833),f326(f18(f928(x75832,a916),x75831),x75834))),f189(f928(x75831,a916)))
% 163.42/163.16 [7584]~E(x75843,f189(f928(x75841,a916)))+E(f326(f309(f927(x75841,x75842),x75842,f255(x75841,x75842)),f326(f326(f253(x75841,x75842),x75843),f326(f18(f928(x75842,a916),x75841),x75844))),f189(f928(x75842,a916)))
% 163.42/163.16 [7636]~P106(f326(f326(f328(x76361),x76362),x76364))+P106(f326(f326(f328(x76361),x76362),f326(f326(f110(f928(x76361,a916)),x76363),x76364)))
% 163.42/163.16 [7639]~P106(f326(f326(f328(x76391),x76392),x76393))+P106(f326(f326(f328(x76391),x76392),f326(f326(f110(f928(x76391,a916)),x76393),x76394)))
% 163.42/163.16 [7657]E(f326(f326(f101(f928(x76571,a916)),f326(f326(f308(x76571),x76572),x76573)),x76574),f326(f326(f308(x76571),x76572),f326(f326(f101(f928(x76571,a916)),x76573),x76574)))+~P106(f326(f326(f328(x76571),x76572),x76574))
% 163.42/163.16 [7931]P106(f326(x79311,x79312))+~P106(f326(f326(f326(f101(f928(x79313,a916)),x79314),x79311),x79312))
% 163.42/163.16 [7932]P106(f326(x79321,x79322))+~P106(f326(f326(f326(f101(f928(x79323,a916)),x79321),x79324),x79322))
% 163.42/163.16 [7933]E(f326(f326(f8(x79331,a920),x79332),f326(f326(f3(f928(x79331,a916)),x79333),f326(f326(f308(x79331),x79334),f189(f928(x79331,a916))))),f326(f326(f8(x79331,a920),x79332),x79333))+P106(f326(f326(f328(x79331),x79334),x79333))
% 163.42/163.16 [7938]~P72(x79381)+E(f326(f165(x79381),f326(f326(f154(a920,x79381),x79382),f139(a920,f326(f301(a920,x79383),x79384)))),f326(f326(f8(a920,x79381),x79382),f326(f172(a920),f139(a920,f326(f301(a920,x79383),x79384)))))
% 163.42/163.16 [7939]~P72(x79391)+E(f326(f326(f8(a920,x79391),x79392),f326(f172(a920),f139(a920,f326(f301(a920,x79393),x79394)))),f326(f165(x79391),f326(f326(f154(a920,x79391),x79392),f139(a920,f326(f301(a920,x79393),x79394)))))
% 163.42/163.16 [8051]~E(x80513,x80514)+P106(f326(f61(x80511,x80512,f326(f326(f308(x80511),x80513),f189(f928(x80511,a916)))),x80514))
% 163.42/163.16 [8148]P106(f326(f326(f328(x81481),x81482),f326(f172(x81481),x81483)))+~P106(f326(f326(f328(x81481),x81482),f326(f172(x81481),f326(f326(f175(x81481),x81484),x81483))))
% 163.42/163.16 [8149]P106(f326(f326(f328(x81491),x81492),f326(f172(x81491),x81493)))+~P106(f326(f326(f328(x81491),x81492),f326(f172(x81491),f326(f326(f138(x81491),x81494),x81493))))
% 163.42/163.16 [8220]P106(f326(f326(f328(x82201),x82202),x82203))+~P106(f326(f326(f328(x82201),x82202),f326(f326(f3(f928(x82201,a916)),x82203),x82204)))
% 163.42/163.16 [8222]P106(f326(f326(f328(x82221),x82222),x82223))+~P106(f326(f326(f328(x82221),x82222),f326(f326(f101(f928(x82221,a916)),x82224),x82223)))
% 163.42/163.16 [8225]P106(f326(f326(f328(x82251),x82252),x82253))+~P106(f326(f326(f328(x82251),x82252),f326(f326(f101(f928(x82251,a916)),x82253),x82254)))
% 163.42/163.16 [8240]E(f326(f326(f134(x82401),f326(f326(f175(x82401),x82402),x82403)),f326(f326(f151(x82401),x82404),f326(f326(f138(x82401),f326(a112,x82402)),x82403))),f326(f326(f159(x82401,x82403),x82402),x82404))+~P106(f326(f326(f235(a920),x82402),f326(f190(f921(x82401)),x82403)))
% 163.42/163.16 [8263]P106(f326(f326(f328(x82631),x82632),x82633))+~P106(f326(f326(f234(f928(x82631,a916)),f326(f326(f308(x82631),x82632),x82634)),x82633))
% 163.42/163.16 [8299]~P106(f326(f326(f328(x82991),x82992),x82993))+~P106(f326(f326(f328(x82991),x82992),f326(f326(f3(f928(x82991,a916)),x82994),x82993)))
% 163.42/163.16 [8332]~P106(f326(f326(f235(a920),x83324),f326(f190(f921(x83321)),x83323)))+P106(f326(f326(f328(x83321),x83322),f326(f172(x83321),f326(f326(f159(x83321,x83323),x83324),x83322))))
% 163.42/163.16 [8385]E(f326(f326(f164(x83851),f326(f326(f138(x83851),x83852),x83853)),x83854),f326(f326(f164(x83851),x83853),f326(f326(f79(a920),x83852),x83854)))+~P106(f326(f326(f234(a920),f326(f326(f79(a920),x83852),x83854)),f326(f190(f921(x83851)),x83853)))
% 163.42/163.16 [8394]~P146(x83942)+E(f326(f326(f8(x83941,x83942),f326(f326(f10(a920,x83942,x83941),f100(x83942)),x83943)),x83944),f326(f100(x83942),f326(f326(f8(x83941,a920),x83943),x83944)))
% 163.42/163.16 [8395]~P143(x83952)+E(f326(f326(f8(x83951,x83952),f326(f326(f10(a1,x83952,x83951),f102(x83952)),x83953)),x83954),f326(f102(x83952),f326(f326(f8(x83951,a1),x83953),x83954)))
% 163.42/163.16 [8445]~P68(x84452)+E(f326(f326(f11(x84451,x84452),f326(f326(f10(x84452,x84452,x84451),f75(x84452)),x84453)),x84454),f326(f75(x84452),f326(f326(f11(x84451,x84452),x84453),x84454)))
% 163.42/163.16 [8446]~P69(x84462)+E(f326(f326(f8(x84461,x84462),f326(f326(f10(x84462,x84462,x84461),f78(x84462)),x84463)),x84464),f326(f78(x84462),f326(f326(f8(x84461,x84462),x84463),x84464)))
% 163.42/163.16 [8448]E(f326(f326(f8(x84481,a920),x84482),f326(f326(f3(f928(x84481,a916)),x84483),f326(f326(f308(x84481),x84484),f189(f928(x84481,a916))))),f326(f326(f3(a920),f326(f326(f8(x84481,a920),x84482),x84483)),f326(x84482,x84484)))+~P106(f326(f326(f328(x84481),x84484),x84483))
% 163.42/163.16 [8467]P106(f326(f326(f234(f928(x84671,a916)),x84672),x84673))+~P106(f326(f326(f234(f928(x84671,a916)),f326(f326(f308(x84671),x84674),x84672)),x84673))
% 163.42/163.16 [8590]~E(f326(f309(x85902,x85903,x85901),f241(f928(x85902,a916))),f241(f928(x85903,a916)))+E(f326(x85901,f326(f91(x85902,x85903,f241(f928(x85902,a916)),x85901),x85904)),x85904)
% 163.42/163.16 [8672]P39(x86721,x86722)+~P39(x86721,f326(f326(f308(f927(x86721,x86721)),f326(f326(f251(x86721,x86721),x86723),x86724)),x86722))
% 163.42/163.16 [8673]P59(x86731,x86732)+~P59(x86731,f326(f326(f308(f927(x86731,x86731)),f326(f326(f251(x86731,x86731),x86733),x86734)),x86732))
% 163.42/163.16 [8678]~P109(x86781)+E(f326(f326(f148(x86781,x86781,f7(x86781)),x86782),f326(f326(f148(x86781,x86781,f7(x86781)),x86783),x86784)),f326(f326(f148(x86781,x86781,f7(x86781)),x86783),f326(f326(f148(x86781,x86781,f7(x86781)),x86782),x86784)))
% 163.42/163.16 [8693]E(x86931,x86932)+~P106(f326(f61(x86933,x86934,f326(f326(f308(x86933),x86931),f189(f928(x86933,a916)))),x86932))
% 163.42/163.16 [8702]E(f326(f326(f134(x87021),f326(f326(f175(x87021),x87022),x87023)),f326(f326(f175(x87021),x87024),f326(f326(f138(x87021),x87022),x87023))),f326(f326(f175(x87021),f326(f326(f79(a920),x87022),x87024)),x87023))+~P106(f326(f326(f234(a920),f326(f326(f79(a920),x87022),x87024)),f326(f190(f921(x87021)),x87023)))
% 163.42/163.16 [8742]P106(f326(f60(x87421),x87422))+~E(x87422,f326(f309(a920,x87421,x87423),f326(f261(a920),f326(f326(f9(a920,a920,a916),f235(a920)),x87424))))
% 163.42/163.16 [8762]~P92(x87621)+E(f326(f142(x87621,x87621,f79(x87621),f326(f326(f79(x87621),x87622),x87623)),x87624),f326(f326(f79(x87621),x87622),f326(f142(x87621,x87621,f79(x87621),x87623),x87624)))
% 163.42/163.16 [8798]P106(f326(f326(f234(f928(x87981,a916)),f326(f263(x87981,x87982),x87983)),f326(f263(x87981,x87982),x87984)))+~P106(f326(f326(f234(f928(f927(x87981,x87982),a916)),x87983),x87984))
% 163.42/163.16 [8810]~P106(f326(f326(f234(a920),x88102),x88104))+P106(f326(f326(f234(f928(x88101,a916)),f326(f172(x88101),f326(f326(f175(x88101),x88102),x88103))),f326(f172(x88101),f326(f326(f175(x88101),x88104),x88103))))
% 163.42/163.16 [8811]~P106(f326(f326(f234(a920),x88114),x88112))+P106(f326(f326(f234(f928(x88111,a916)),f326(f172(x88111),f326(f326(f138(x88111),x88112),x88113))),f326(f172(x88111),f326(f326(f138(x88111),x88114),x88113))))
% 163.42/163.16 [8870]~P106(f326(f60(x88701),f326(f326(f3(f928(x88701,a916)),x88702),x88704)))+P106(f326(f60(x88701),f326(f326(f3(f928(x88701,a916)),x88702),f326(f326(f308(x88701),x88703),x88704))))
% 163.42/163.16 [8913]P106(f326(f326(f328(f927(x89131,x89131)),x89132),f306(x89131,x89133)))+~P106(f326(f326(f328(f927(x89131,x89131)),x89132),f326(f326(f183(f927(x89131,x89131),a916),x89134),x89133)))
% 163.42/163.16 [8999]~P106(f326(f60(x89991),f326(f326(f3(f928(x89991,a916)),x89992),f326(f326(f308(x89991),x89994),x89993))))+P106(f326(f60(x89991),f326(f326(f3(f928(x89991,a916)),x89992),x89993)))
% 163.42/163.16 [9210]~P2(x92101)+P106(f326(f326(f234(x92101),f326(f326(f110(x92101),x92102),f326(f326(f101(x92101),x92103),x92104))),f326(f326(f101(x92101),f326(f326(f110(x92101),x92102),x92103)),f326(f326(f110(x92101),x92102),x92104))))
% 163.42/163.16 [9211]~P109(x92111)+P106(f326(f326(f234(x92111),f326(f326(f233(x92111),x92112),f326(f326(f188(x92111),x92113),x92114))),f326(f326(f188(x92111),f326(f326(f233(x92111),x92112),x92113)),f326(f326(f233(x92111),x92112),x92114))))
% 163.42/163.16 [9358]E(x93581,x93582)+~P106(f326(f326(f328(f927(x93583,x93583)),f326(f326(f251(x93583,x93583),x93581),x93582)),f326(f172(f927(x93583,x93583)),f326(f326(f181(x93583,x93583),x93584),x93584))))
% 163.42/163.16 [9388]~P106(f326(f326(f328(f927(x93881,x93881)),f326(f326(f251(x93881,x93881),x93883),x93882)),f306(x93881,x93884)))+~P39(x93881,f326(f326(f308(f927(x93881,x93881)),f326(f326(f251(x93881,x93881),x93882),x93883)),x93884))
% 163.42/163.16 [9389]~P106(f326(f326(f328(f927(x93891,x93891)),f326(f326(f251(x93891,x93891),x93893),x93892)),f306(x93891,x93894)))+~P59(x93891,f326(f326(f308(f927(x93891,x93891)),f326(f326(f251(x93891,x93891),x93892),x93893)),x93894))
% 163.42/163.16 [9393]E(x93931,x93932)+E(f326(f136(x93933,f326(f326(f10(a916,a916,x93933),a321),f326(a323,x93931))),f326(f326(f151(x93933),x93932),x93934)),f326(f326(f151(x93933),x93932),f326(f136(x93933,f326(f326(f10(a916,a916,x93933),a321),f326(a323,x93931))),x93934)))
% 163.42/163.16 [9424]~P27(x94242,x94241,x94243,f241(f928(x94242,a916)),f241(f928(x94241,a916)))+E(f326(f309(x94241,x94242,f91(x94242,x94241,f241(f928(x94242,a916)),x94243)),x94244),f326(f310(x94242,x94241,x94243),x94244))
% 163.42/163.16 [9439]~P2(x94391)+P106(f326(f326(f234(x94391),f326(f326(f110(x94391),f326(f326(f101(x94391),x94392),x94393)),f326(f326(f101(x94391),x94392),x94394))),f326(f326(f101(x94391),x94392),f326(f326(f110(x94391),x94393),x94394))))
% 163.42/163.16 [9440]~P109(x94401)+P106(f326(f326(f234(x94401),f326(f326(f233(x94401),f326(f326(f188(x94401),x94402),x94403)),f326(f326(f188(x94401),x94402),x94404))),f326(f326(f188(x94401),x94402),f326(f326(f233(x94401),x94403),x94404))))
% 163.42/163.16 [9503]~P27(x95032,x95031,x95034,f241(f928(x95032,a916)),f241(f928(x95031,a916)))+E(f326(f261(x95031),f326(f326(f10(x95032,a916,x95031),x95033),f91(x95032,x95031,f241(f928(x95032,a916)),x95034))),f326(f309(x95032,x95031,x95034),f326(f261(x95032),x95033)))
% 163.42/163.16 [9517]~E(f326(f309(x95172,x95171,x95173),f241(f928(x95172,a916))),f241(f928(x95171,a916)))+P106(f326(f326(f234(f928(x95171,a916)),f326(f78(f928(x95171,a916)),f326(f309(x95172,x95171,x95173),x95174))),f326(f309(x95172,x95171,x95173),f326(f78(f928(x95172,a916)),x95174))))
% 163.42/163.16 [9850]P106(f326(f326(f328(f927(x98501,x98501)),f326(f326(f251(x98501,x98501),x98502),x98503)),f326(f285(x98501,x98501),f326(f326(f288(x98501,x98501,x98501),x98504),f306(x98501,x98504)))))+~P106(f326(f326(f328(f927(x98501,x98501)),f326(f326(f251(x98501,x98501),x98502),x98503)),f326(f326(f288(x98501,x98501,x98501),f326(f285(x98501,x98501),x98504)),f306(x98501,f326(f285(x98501,x98501),x98504)))))
% 163.42/163.16 [9851]~P106(f326(f326(f328(f927(x98511,x98511)),f326(f326(f251(x98511,x98511),x98512),x98513)),f326(f285(x98511,x98511),f326(f326(f288(x98511,x98511,x98511),x98514),f306(x98511,x98514)))))+P106(f326(f326(f328(f927(x98511,x98511)),f326(f326(f251(x98511,x98511),x98512),x98513)),f326(f326(f288(x98511,x98511,x98511),f326(f285(x98511,x98511),x98514)),f306(x98511,f326(f285(x98511,x98511),x98514)))))
% 163.42/163.16 [9872]~P106(f326(f326(f328(x98722),x98724),f326(f283(x98721,x98722),x98723)))+P106(f326(f326(f328(f927(x98721,x98722)),f326(f326(f251(x98721,x98722),f562(x98723,x98721,x98724,x98722)),x98724)),x98723))
% 163.42/163.16 [9873]~P106(f326(f326(f328(x98732),x98734),f326(f283(x98731,x98732),x98733)))+P106(f326(f326(f328(f927(x98731,x98732)),f326(f326(f251(x98731,x98732),f563(x98733,x98731,x98734,x98732)),x98734)),x98733))
% 163.42/163.16 [9898]~P106(f326(f326(f328(x98981),x98984),f326(f326(f110(f928(x98981,a916)),x98982),x98983)))+P106(f326(f326(f326(f110(f928(x98981,a916)),f326(f326(f9(x98981,f928(x98981,a916),a916),f328(x98981)),x98982)),f326(f326(f9(x98981,f928(x98981,a916),a916),f328(x98981)),x98983)),x98984))
% 163.42/163.16 [9899]~P106(f326(f326(f328(x98991),x98994),f326(f326(f101(f928(x98991,a916)),x98992),x98993)))+P106(f326(f326(f326(f101(f928(x98991,a916)),f326(f326(f9(x98991,f928(x98991,a916),a916),f328(x98991)),x98992)),f326(f326(f9(x98991,f928(x98991,a916),a916),f328(x98991)),x98993)),x98994))
% 163.42/163.16 [9979]~P106(f326(f326(f328(f927(x99791,x99791)),f326(f326(f251(x99791,x99791),x99794),x99793)),f326(f326(f288(x99791,x99791,x99791),x99792),f306(x99791,x99792))))+P106(f326(f326(f328(f927(x99791,x99791)),f326(f326(f251(x99791,x99791),f637(x99792,x99793,x99794,x99791)),x99793)),x99792))
% 163.42/163.16 [10014]P106(f326(f326(f328(x100141),x100142),f326(f326(f110(f928(x100141,a916)),x100143),x100144)))+~P106(f326(f326(f326(f110(f928(x100141,a916)),f326(f326(f9(x100141,f928(x100141,a916),a916),f328(x100141)),x100143)),f326(f326(f9(x100141,f928(x100141,a916),a916),f328(x100141)),x100144)),x100142))
% 163.42/163.16 [10015]P106(f326(f326(f328(x100151),x100152),f326(f326(f101(f928(x100151,a916)),x100153),x100154)))+~P106(f326(f326(f326(f101(f928(x100151,a916)),f326(f326(f9(x100151,f928(x100151,a916),a916),f328(x100151)),x100153)),f326(f326(f9(x100151,f928(x100151,a916),a916),f328(x100151)),x100154)),x100152))
% 163.42/163.16 [10301]P34(x103011,f326(f326(f9(x103011,f928(f927(x103011,x103011),a916),f928(x103011,a916)),f326(f326(f10(f928(x103011,f928(f928(f927(x103011,x103011),a916),a916)),f928(f928(f927(x103011,x103011),a916),f928(x103011,a916)),x103011),f9(x103011,f928(f927(x103011,x103011),a916),a916)),f326(f326(f10(f928(x103011,f927(x103011,x103011)),f928(x103011,f928(f928(f927(x103011,x103011),a916),a916)),x103011),f326(f10(f927(x103011,x103011),f928(f928(f927(x103011,x103011),a916),a916),x103011),f328(f927(x103011,x103011)))),f251(x103011,x103011)))),x103012),x103013,x103014)+~P106(f326(f326(f328(f927(f921(x103011),f921(x103011))),f326(f326(f251(f921(x103011),f921(x103011)),x103013),x103014)),f158(x103011,x103012)))
% 163.42/163.16 [10305]P60(x103051,f326(f326(f9(x103051,f928(f927(x103051,x103051),a916),f928(x103051,a916)),f326(f326(f10(f928(x103051,f928(f928(f927(x103051,x103051),a916),a916)),f928(f928(f927(x103051,x103051),a916),f928(x103051,a916)),x103051),f9(x103051,f928(f927(x103051,x103051),a916),a916)),f326(f326(f10(f928(x103051,f927(x103051,x103051)),f928(x103051,f928(f928(f927(x103051,x103051),a916),a916)),x103051),f326(f10(f927(x103051,x103051),f928(f928(f927(x103051,x103051),a916),a916),x103051),f328(f927(x103051,x103051)))),f251(x103051,x103051)))),x103052),x103053,x103054)+~P106(f326(f326(f328(f927(f928(x103051,a916),f928(x103051,a916))),f326(f326(f251(f928(x103051,a916),f928(x103051,a916)),x103053),x103054)),f317(x103051,x103052)))
% 163.42/163.16 [10341]E(x103411,x103412)+~E(f326(f326(f9(x103413,f928(f927(x103413,x103414),a916),f928(x103414,a916)),f326(f326(f10(f928(x103414,f928(f928(f927(x103413,x103414),a916),a916)),f928(f928(f927(x103413,x103414),a916),f928(x103414,a916)),x103413),f9(x103414,f928(f927(x103413,x103414),a916),a916)),f326(f326(f10(f928(x103414,f927(x103413,x103414)),f928(x103414,f928(f928(f927(x103413,x103414),a916),a916)),x103413),f326(f10(f927(x103413,x103414),f928(f928(f927(x103413,x103414),a916),a916),x103414),f328(f927(x103413,x103414)))),f251(x103413,x103414)))),x103411),f326(f326(f9(x103413,f928(f927(x103413,x103414),a916),f928(x103414,a916)),f326(f326(f10(f928(x103414,f928(f928(f927(x103413,x103414),a916),a916)),f928(f928(f927(x103413,x103414),a916),f928(x103414,a916)),x103413),f9(x103414,f928(f927(x103413,x103414),a916),a916)),f326(f326(f10(f928(x103414,f927(x103413,x103414)),f928(x103414,f928(f928(f927(x103413,x103414),a916),a916)),x103413),f326(f10(f927(x103413,x103414),f928(f928(f927(x103413,x103414),a916),a916),x103414),f328(f927(x103413,x103414)))),f251(x103413,x103414)))),x103412))
% 163.42/163.16 [10344]~P34(x103441,f326(f326(f9(x103441,f928(f927(x103441,x103441),a916),f928(x103441,a916)),f326(f326(f10(f928(x103441,f928(f928(f927(x103441,x103441),a916),a916)),f928(f928(f927(x103441,x103441),a916),f928(x103441,a916)),x103441),f9(x103441,f928(f927(x103441,x103441),a916),a916)),f326(f326(f10(f928(x103441,f927(x103441,x103441)),f928(x103441,f928(f928(f927(x103441,x103441),a916),a916)),x103441),f326(f10(f927(x103441,x103441),f928(f928(f927(x103441,x103441),a916),a916),x103441),f328(f927(x103441,x103441)))),f251(x103441,x103441)))),x103444),x103442,x103443)+P106(f326(f326(f328(f927(f921(x103441),f921(x103441))),f326(f326(f251(f921(x103441),f921(x103441)),x103442),x103443)),f158(x103441,x103444)))
% 163.42/163.16 [10345]~P60(x103451,f326(f326(f9(x103451,f928(f927(x103451,x103451),a916),f928(x103451,a916)),f326(f326(f10(f928(x103451,f928(f928(f927(x103451,x103451),a916),a916)),f928(f928(f927(x103451,x103451),a916),f928(x103451,a916)),x103451),f9(x103451,f928(f927(x103451,x103451),a916),a916)),f326(f326(f10(f928(x103451,f927(x103451,x103451)),f928(x103451,f928(f928(f927(x103451,x103451),a916),a916)),x103451),f326(f10(f927(x103451,x103451),f928(f928(f927(x103451,x103451),a916),a916),x103451),f328(f927(x103451,x103451)))),f251(x103451,x103451)))),x103454),x103452,x103453)+P106(f326(f326(f328(f927(f928(x103451,a916),f928(x103451,a916))),f326(f326(f251(f928(x103451,a916),f928(x103451,a916)),x103452),x103453)),f317(x103451,x103454)))
% 163.42/163.16 [7706]~P94(x77061)+E(f326(f326(f80(x77061),f326(f103(x77061),x77062)),f326(f326(f80(x77061),f326(f103(x77061),x77063)),x77064)),f326(f326(f80(x77061),f326(f103(x77061),f326(f326(f80(a1),x77062),x77063))),x77064))
% 163.42/163.16 [7707]~P94(x77071)+E(f326(f326(f79(x77071),f326(f103(x77071),x77072)),f326(f326(f3(x77071),f326(f103(x77071),x77073)),x77074)),f326(f326(f3(x77071),f326(f103(x77071),f326(f326(f79(a1),x77072),x77073))),x77074))
% 163.42/163.16 [7708]~P94(x77081)+E(f326(f326(f79(x77081),f326(f103(x77081),x77082)),f326(f326(f79(x77081),f326(f103(x77081),x77083)),x77084)),f326(f326(f79(x77081),f326(f103(x77081),f326(f326(f79(a1),x77082),x77083))),x77084))
% 163.42/163.16 [7749]~P146(x77491)+E(f326(f165(x77491),f326(f326(f154(x77492,x77491),f326(f18(x77491,x77492),x77493)),x77494)),f326(f326(f80(x77491),f326(f100(x77491),f326(f190(f921(x77492)),x77494))),x77493))
% 163.42/163.16 [7987]E(f326(f267(x79871,f326(f326(f151(f927(a99,x79871)),x79872),x79873)),x79874),f326(f255(a99,x79871),x79872))+~P106(f326(f326(f235(a99),x79874),f326(f250(a99,x79871),x79872)))
% 163.42/163.16 [8027]~P94(x80271)+E(f326(f326(f79(x80271),f326(f103(x80271),x80272)),f326(f326(f3(x80271),x80273),f326(f103(x80271),x80274))),f326(f326(f79(x80271),f326(f103(x80271),f326(f326(f79(a1),x80272),f326(f78(a1),x80274)))),x80273))
% 163.42/163.16 [8161]E(f326(f267(x81611,x81612),f326(f326(f3(a99),x81613),f326(f250(a99,x81611),x81614))),f326(f267(x81611,f326(f326(f151(f927(a99,x81611)),x81614),x81612)),x81613))+P106(f326(f326(f235(a99),x81613),f326(f250(a99,x81611),x81614)))
% 163.42/163.16 [8596]~P106(f326(f326(f328(x85961),x85962),f326(f172(x85961),f114(x85961,x85964))))+P106(f326(f326(f328(x85961),x85962),f326(f172(x85961),f114(x85961,f326(f326(f134(x85961),x85963),x85964)))))
% 163.42/163.16 [8597]~P106(f326(f326(f328(x85971),x85972),f326(f172(x85971),f114(x85971,x85973))))+P106(f326(f326(f328(x85971),x85972),f326(f172(x85971),f114(x85971,f326(f326(f134(x85971),x85973),x85974)))))
% 163.42/163.16 [8615]E(f326(f326(f110(f928(x86151,a916)),f326(f326(f101(f928(x86151,a916)),x86152),x86153)),x86154),f326(f326(f101(f928(x86151,a916)),x86152),f326(f326(f110(f928(x86151,a916)),x86153),x86154)))+~P106(f326(f326(f234(f928(x86151,a916)),x86154),x86152))
% 163.42/163.16 [8927]~E(f326(f326(f110(f928(x89271,a916)),f326(f326(f101(f928(x89271,a916)),x89273),x89274)),x89272),f326(f326(f101(f928(x89271,a916)),x89273),f326(f326(f110(f928(x89271,a916)),x89274),x89272)))+P106(f326(f326(f234(f928(x89271,a916)),x89272),x89273))
% 163.42/163.16 [9215]~P106(f326(f326(f234(f928(x92151,a916)),x92152),f326(f326(f110(f928(x92151,a916)),x92153),x92154)))+P106(f326(f326(f234(f928(x92151,a916)),f326(f326(f3(f928(x92151,a916)),x92152),x92153)),x92154))
% 163.42/163.16 [9330]~E(f326(f309(x93301,x93302,x93303),f241(f928(x93301,a916))),f241(f928(x93302,a916)))+E(f326(f309(x93301,x93302,x93303),f326(f309(x93302,x93301,f91(x93301,x93302,f241(f928(x93301,a916)),x93303)),x93304)),x93304)
% 163.42/163.16 [9335]P106(f326(f326(f234(f928(x93351,a916)),x93352),f326(f326(f110(f928(x93351,a916)),x93353),x93354)))+~P106(f326(f326(f234(f928(x93351,a916)),f326(f326(f3(f928(x93351,a916)),x93352),x93353)),x93354))
% 163.42/163.16 [9419]~P87(x94191)+E(f326(f75(x94191),f326(f326(f8(x94192,x94191),f326(f326(f10(x94191,x94191,x94192),f75(x94191)),x94193)),x94194)),f326(f326(f8(x94192,x94191),f326(f326(f10(x94191,x94191,x94192),f75(x94191)),x94193)),x94194))
% 163.42/163.16 [9593]~P87(x95931)+P106(f326(f326(f234(x95931),f2(x95931)),f326(f326(f8(x95932,x95931),f326(f326(f10(x95931,x95931,x95932),f75(x95931)),x95933)),x95934)))
% 163.42/163.16 [9597]~P69(x95971)+E(f326(f165(x95971),f326(f326(f154(x95972,x95971),f326(f72(x95971,x95971,x95972,f78(x95971)),x95973)),x95974)),f326(f78(x95971),f326(f165(x95971),f326(f326(f154(x95972,x95971),x95973),x95974))))
% 163.42/163.16 [9746]~P87(x97461)+P106(f326(f326(f234(x97461),f326(f75(x97461),f326(f326(f8(x97462,x97461),x97463),x97464))),f326(f326(f8(x97462,x97461),f326(f326(f10(x97461,x97461,x97462),f75(x97461)),x97463)),x97464)))
% 163.42/163.16 [9775]~E(f326(f326(f79(a920),x97751),x97754),f326(f326(f79(a920),x97753),x97752))+P106(f326(f326(f328(f927(f927(a920,a920),f927(a920,a920))),f326(f326(f251(f927(a920,a920),f927(a920,a920)),f326(f326(f251(a920,a920),x97751),x97752)),f326(f326(f251(a920,a920),x97753),x97754))),a108))
% 163.42/163.16 [9776]~P106(f326(f326(f235(a920),x97761),x97763))+P106(f326(f326(f328(f927(f927(a920,a920),f927(a920,a920))),f326(f326(f251(f927(a920,a920),f927(a920,a920)),f326(f326(f251(a920,a920),x97761),x97762)),f326(f326(f251(a920,a920),x97763),x97764))),a32))
% 163.42/163.16 [9777]~P106(f326(f326(f235(a920),x97771),x97773))+P106(f326(f326(f328(f927(f927(a920,a920),f927(a920,a920))),f326(f326(f251(f927(a920,a920),f927(a920,a920)),f326(f326(f251(a920,a920),x97771),x97772)),f326(f326(f251(a920,a920),x97773),x97774))),a70))
% 163.42/163.16 [9923]E(f326(f326(f79(a920),x99231),x99232),f326(f326(f79(a920),x99233),x99234))+~P106(f326(f326(f328(f927(f927(a920,a920),f927(a920,a920))),f326(f326(f251(f927(a920,a920),f927(a920,a920)),f326(f326(f251(a920,a920),x99231),x99234)),f326(f326(f251(a920,a920),x99233),x99232))),a108))
% 163.42/163.16 [9954]E(f326(f326(f164(x99541),f326(f326(f138(x99541),f326(f190(f921(x99541)),f177(x99541,x99542,x99543))),x99543)),x99544),f326(f326(f164(x99541),x99543),f326(f326(f79(a920),x99544),f326(f190(f921(x99541)),f177(x99541,x99542,x99543)))))+~P106(f326(f326(f235(a920),x99544),f326(f190(f921(x99541)),f326(f326(f138(x99541),f326(f190(f921(x99541)),f177(x99541,x99542,x99543))),x99543))))
% 163.42/163.16 [9970]~P106(f326(f326(f328(x99702),x99704),f326(f326(f38(x99701,f928(x99702,a916)),f241(f928(x99701,a916))),x99703)))+P106(f326(f326(f326(f38(x99701,f928(x99702,a916)),f241(f928(x99701,a916))),f326(f326(f10(f928(x99702,a916),f928(x99702,a916),x99701),f326(f9(x99702,f928(x99702,a916),a916),f328(x99702))),x99703)),x99704))
% 163.42/163.16 [9971]~P106(f326(f326(f328(x99712),x99714),f326(f326(f39(x99711,f928(x99712,a916)),f241(f928(x99711,a916))),x99713)))+P106(f326(f326(f326(f39(x99711,f928(x99712,a916)),f241(f928(x99711,a916))),f326(f326(f10(f928(x99712,a916),f928(x99712,a916),x99711),f326(f9(x99712,f928(x99712,a916),a916),f328(x99712))),x99713)),x99714))
% 163.42/163.16 [10041]~P106(f326(f48(x100411,x100412),f326(f326(f251(a1,a1),x100414),x100413)))+P106(f326(f48(f326(f78(a1),x100411),x100412),f326(f326(f251(a1,a1),f326(f326(f326(f96(a1),f326(f326(a323,x100413),f2(a1))),f326(f78(a1),x100414)),f326(f326(f3(a1),f326(f78(a1),x100414)),f77(a1)))),f326(f326(f326(f96(a1),f326(f326(a323,x100413),f2(a1))),f2(a1)),f326(f326(f3(a1),x100412),x100413)))))
% 163.42/163.16 [10053]P106(f326(f326(f328(x100531),x100532),f326(f326(f38(x100533,f928(x100531,a916)),f241(f928(x100533,a916))),x100534)))+~P106(f326(f326(f326(f38(x100533,f928(x100531,a916)),f241(f928(x100533,a916))),f326(f326(f10(f928(x100531,a916),f928(x100531,a916),x100533),f326(f9(x100531,f928(x100531,a916),a916),f328(x100531))),x100534)),x100532))
% 163.42/163.16 [10054]P106(f326(f326(f328(x100541),x100542),f326(f326(f39(x100543,f928(x100541,a916)),f241(f928(x100543,a916))),x100544)))+~P106(f326(f326(f326(f39(x100543,f928(x100541,a916)),f241(f928(x100543,a916))),f326(f326(f10(f928(x100541,a916),f928(x100541,a916),x100543),f326(f9(x100541,f928(x100541,a916),a916),f328(x100541))),x100544)),x100542))
% 163.42/163.16 [10066]E(f326(f326(f39(a920,f928(x100661,a916)),f241(f928(a920,a916))),x100662),f326(f326(f39(a920,f928(x100661,a916)),f241(f928(a920,a916))),x100663))+~E(f326(f326(f39(a920,f928(x100661,a916)),f326(f301(a920,f2(a920)),f496(x100662,x100664,x100663,x100661))),x100663),f326(f326(f39(a920,f928(x100661,a916)),f326(f301(a920,f2(a920)),f326(f326(f79(a920),f496(x100662,x100664,x100663,x100661)),x100664))),x100662))
% 163.42/163.16 [10421]~P106(f326(f326(f234(f928(f927(x104211,x104212),a916)),x104213),x104214))+P106(f326(f326(f234(f928(x104211,f928(x104212,a916))),f326(f326(f9(x104211,f928(f927(x104211,x104212),a916),f928(x104212,a916)),f326(f326(f10(f928(x104212,f928(f928(f927(x104211,x104212),a916),a916)),f928(f928(f927(x104211,x104212),a916),f928(x104212,a916)),x104211),f9(x104212,f928(f927(x104211,x104212),a916),a916)),f326(f326(f10(f928(x104212,f927(x104211,x104212)),f928(x104212,f928(f928(f927(x104211,x104212),a916),a916)),x104211),f326(f10(f927(x104211,x104212),f928(f928(f927(x104211,x104212),a916),a916),x104212),f328(f927(x104211,x104212)))),f251(x104211,x104212)))),x104213)),f326(f326(f9(x104211,f928(f927(x104211,x104212),a916),f928(x104212,a916)),f326(f326(f10(f928(x104212,f928(f928(f927(x104211,x104212),a916),a916)),f928(f928(f927(x104211,x104212),a916),f928(x104212,a916)),x104211),f9(x104212,f928(f927(x104211,x104212),a916),a916)),f326(f326(f10(f928(x104212,f927(x104211,x104212)),f928(x104212,f928(f928(f927(x104211,x104212),a916),a916)),x104211),f326(f10(f927(x104211,x104212),f928(f928(f927(x104211,x104212),a916),a916),x104212),f328(f927(x104211,x104212)))),f251(x104211,x104212)))),x104214)))
% 163.42/163.16 [10438]P106(f326(f326(f234(f928(f927(x104381,x104382),a916)),x104383),x104384))+~P106(f326(f326(f234(f928(x104381,f928(x104382,a916))),f326(f326(f9(x104381,f928(f927(x104381,x104382),a916),f928(x104382,a916)),f326(f326(f10(f928(x104382,f928(f928(f927(x104381,x104382),a916),a916)),f928(f928(f927(x104381,x104382),a916),f928(x104382,a916)),x104381),f9(x104382,f928(f927(x104381,x104382),a916),a916)),f326(f326(f10(f928(x104382,f927(x104381,x104382)),f928(x104382,f928(f928(f927(x104381,x104382),a916),a916)),x104381),f326(f10(f927(x104381,x104382),f928(f928(f927(x104381,x104382),a916),a916),x104382),f328(f927(x104381,x104382)))),f251(x104381,x104382)))),x104383)),f326(f326(f9(x104381,f928(f927(x104381,x104382),a916),f928(x104382,a916)),f326(f326(f10(f928(x104382,f928(f928(f927(x104381,x104382),a916),a916)),f928(f928(f927(x104381,x104382),a916),f928(x104382,a916)),x104381),f9(x104382,f928(f927(x104381,x104382),a916),a916)),f326(f326(f10(f928(x104382,f927(x104381,x104382)),f928(x104382,f928(f928(f927(x104381,x104382),a916),a916)),x104381),f326(f10(f927(x104381,x104382),f928(f928(f927(x104381,x104382),a916),a916),x104382),f328(f927(x104381,x104382)))),f251(x104381,x104382)))),x104384)))
% 163.42/163.16 [9466]~P106(f326(f326(f328(f927(x94661,x94661)),x94662),f306(x94661,x94664)))+P106(f326(f326(f328(f927(x94661,x94661)),x94662),f306(x94661,f326(f326(f110(f928(f927(x94661,x94661),a916)),x94663),x94664))))
% 163.42/163.16 [9467]~P106(f326(f326(f328(f927(x94671,x94671)),x94672),f306(x94671,x94673)))+P106(f326(f326(f328(f927(x94671,x94671)),x94672),f306(x94671,f326(f326(f110(f928(f927(x94671,x94671),a916)),x94673),x94674))))
% 163.42/163.16 [10154]~P106(f326(f326(f234(a920),f326(f326(f79(a920),x101541),x101544)),f326(f326(f79(a920),x101543),x101542)))+P106(f326(f326(f234(a1),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x101541),x101542)),f189(f928(f927(a920,a920),a916)))))),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x101543),x101544)),f189(f928(f927(a920,a920),a916)))))))
% 163.42/163.16 [10155]~P106(f326(f326(f235(a920),f326(f326(f79(a920),x101551),x101554)),f326(f326(f79(a920),x101553),x101552)))+P106(f326(f326(f235(a1),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x101551),x101552)),f189(f928(f927(a920,a920),a916)))))),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x101553),x101554)),f189(f928(f927(a920,a920),a916)))))))
% 163.42/163.16 [10242]P106(f326(f326(f234(a920),f326(f326(f79(a920),x102421),x102422)),f326(f326(f79(a920),x102423),x102424)))+~P106(f326(f326(f234(a1),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x102421),x102424)),f189(f928(f927(a920,a920),a916)))))),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x102423),x102422)),f189(f928(f927(a920,a920),a916)))))))
% 163.42/163.16 [10243]P106(f326(f326(f235(a920),f326(f326(f79(a920),x102431),x102432)),f326(f326(f79(a920),x102433),x102434)))+~P106(f326(f326(f235(a1),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x102431),x102434)),f189(f928(f927(a920,a920),a916)))))),f326(a88,f326(f284(f927(a920,a920),f927(a920,a920),a108),f326(f326(f308(f927(a920,a920)),f326(f326(f251(a920,a920),x102433),x102432)),f189(f928(f927(a920,a920),a916)))))))
% 163.42/163.16 [10287]P106(f326(f326(f234(f928(x102871,a916)),f326(f326(f39(a920,f928(x102871,a916)),f241(f928(a920,a916))),x102872)),f326(f326(f39(a920,f928(x102871,a916)),f241(f928(a920,a916))),x102873)))+~P106(f326(f326(f234(f928(x102871,a916)),f326(f326(f39(a920,f928(x102871,a916)),f326(f301(a920,f2(a920)),f497(x102873,x102874,x102872,x102871))),x102872)),f326(f326(f39(a920,f928(x102871,a916)),f326(f301(a920,f2(a920)),f326(f326(f79(a920),f497(x102873,x102874,x102872,x102871)),x102874))),x102873)))
% 163.42/163.16 [10348]P106(f326(f326(f234(a99),x103484),f2(a99)))+E(f326(f326(f258(f927(a99,a99),f927(x103481,f928(a923,a322)),f927(a99,a99),f927(f928(a99,f928(a916,f924(f922(x103481)))),f927(a99,a99))),f326(x103482,x103483)),f326(f326(f10(f928(f928(a99,f928(a916,f924(f922(x103481)))),f928(f927(a99,a99),f927(f928(a99,f928(a916,f924(f922(x103481)))),f927(a99,a99)))),f928(f927(a99,a99),f927(f928(a99,f928(a916,f924(f922(x103481)))),f927(a99,a99))),f927(x103481,f928(a923,a322))),f326(f258(f927(a99,a99),f928(a99,f928(a916,f924(f922(x103481)))),f927(a99,a99),f927(f928(a99,f928(a916,f924(f922(x103481)))),f927(a99,a99))),f276(x103481,x103482,f326(f326(f3(a99),x103484),f77(a99)),x103483))),f326(f326(f10(f928(f928(a99,f928(a916,f924(f922(x103481)))),f928(a99,f928(a916,f924(f922(x103481))))),f928(f928(a99,f928(a916,f924(f922(x103481)))),f928(f927(a99,a99),f927(f928(a99,f928(a916,f924(f922(x103481)))),f927(a99,a99)))),f927(x103481,f928(a923,a322))),f326(f10(f928(a99,f928(a916,f924(f922(x103481)))),f928(f927(a99,a99),f927(f928(a99,f928(a916,f924(f922(x103481)))),f927(a99,a99))),f928(a99,f928(a916,f924(f922(x103481))))),f251(f928(a99,f928(a916,f924(f922(x103481)))),f927(a99,a99)))),f326(f326(f10(f928(a99,f928(a916,f924(f922(x103481)))),f928(f928(a99,f928(a916,f924(f922(x103481)))),f928(a99,f928(a916,f924(f922(x103481))))),f927(x103481,f928(a923,a322))),f43(x103481)),f326(f326(f10(x103481,f928(a99,f928(a916,f924(f922(x103481)))),f927(x103481,f928(a923,a322))),f41(x103481)),f250(x103481,f928(a923,a322))))))),f276(x103481,x103482,x103484,x103483))
% 163.42/163.16 [10410]~P106(f326(f326(f328(x104102),x104104),f326(f283(x104101,x104102),x104103)))+P106(f326(f249(x104101,x104102,f326(f326(f9(x104101,f928(f927(x104101,x104102),a916),f928(x104102,a916)),f326(f326(f10(f928(x104102,f928(f928(f927(x104101,x104102),a916),a916)),f928(f928(f927(x104101,x104102),a916),f928(x104102,a916)),x104101),f9(x104102,f928(f927(x104101,x104102),a916),a916)),f326(f326(f10(f928(x104102,f927(x104101,x104102)),f928(x104102,f928(f928(f927(x104101,x104102),a916),a916)),x104101),f326(f10(f927(x104101,x104102),f928(f928(f927(x104101,x104102),a916),a916),x104102),f328(f927(x104101,x104102)))),f251(x104101,x104102)))),x104103)),x104104))
% 163.42/163.16 [10411]~P106(f326(f326(f328(x104111),x104114),f326(f263(x104111,x104112),x104113)))+P106(f326(f248(x104111,x104112,f326(f326(f9(x104111,f928(f927(x104111,x104112),a916),f928(x104112,a916)),f326(f326(f10(f928(x104112,f928(f928(f927(x104111,x104112),a916),a916)),f928(f928(f927(x104111,x104112),a916),f928(x104112,a916)),x104111),f9(x104112,f928(f927(x104111,x104112),a916),a916)),f326(f326(f10(f928(x104112,f927(x104111,x104112)),f928(x104112,f928(f928(f927(x104111,x104112),a916),a916)),x104111),f326(f10(f927(x104111,x104112),f928(f928(f927(x104111,x104112),a916),a916),x104112),f328(f927(x104111,x104112)))),f251(x104111,x104112)))),x104113)),x104114))
% 163.42/163.16 [10424]P106(f326(f326(f328(x104241),x104242),f326(f283(x104243,x104241),x104244)))+~P106(f326(f249(x104243,x104241,f326(f326(f9(x104243,f928(f927(x104243,x104241),a916),f928(x104241,a916)),f326(f326(f10(f928(x104241,f928(f928(f927(x104243,x104241),a916),a916)),f928(f928(f927(x104243,x104241),a916),f928(x104241,a916)),x104243),f9(x104241,f928(f927(x104243,x104241),a916),a916)),f326(f326(f10(f928(x104241,f927(x104243,x104241)),f928(x104241,f928(f928(f927(x104243,x104241),a916),a916)),x104243),f326(f10(f927(x104243,x104241),f928(f928(f927(x104243,x104241),a916),a916),x104241),f328(f927(x104243,x104241)))),f251(x104243,x104241)))),x104244)),x104242))
% 163.42/163.16 [10425]P106(f326(f326(f328(x104251),x104252),f326(f263(x104251,x104253),x104254)))+~P106(f326(f248(x104251,x104253,f326(f326(f9(x104251,f928(f927(x104251,x104253),a916),f928(x104253,a916)),f326(f326(f10(f928(x104253,f928(f928(f927(x104251,x104253),a916),a916)),f928(f928(f927(x104251,x104253),a916),f928(x104253,a916)),x104251),f9(x104253,f928(f927(x104251,x104253),a916),a916)),f326(f326(f10(f928(x104253,f927(x104251,x104253)),f928(x104253,f928(f928(f927(x104251,x104253),a916),a916)),x104251),f326(f10(f927(x104251,x104253),f928(f928(f927(x104251,x104253),a916),a916),x104253),f328(f927(x104251,x104253)))),f251(x104251,x104253)))),x104254)),x104252))
% 163.42/163.16 [10077]P106(f326(f160(x100771,x100772),x100773))+~P106(f326(f160(x100771,f326(f326(f20(x100771,a916,a916),f326(f326(f10(a916,f928(a916,a916),x100771),a324),x100774)),x100772)),x100773))
% 163.42/163.16 [10078]P106(f326(f160(x100781,x100782),x100783))+~P106(f326(f160(x100781,f326(f326(f20(x100781,a916,a916),f326(f326(f10(a916,f928(a916,a916),x100781),a324),x100782)),x100784)),x100783))
% 163.42/163.16 [10166]~P113(x101661)+E(f326(f326(f80(x101661),f326(f326(f79(x101661),f77(x101661)),f77(x101661))),f326(f326(f8(a920,x101661),f326(f326(f10(x101661,x101661,a920),f326(f79(x101661),x101662)),f326(f326(f9(a920,x101661,x101661),f326(f326(f10(x101661,f928(x101661,x101661),a920),f80(x101661)),f100(x101661))),x101663))),f326(f281(a920),x101664))),f326(f326(f80(x101661),f326(f100(x101661),x101664)),f326(f326(f79(x101661),x101662),f326(f326(f79(x101661),x101662),f326(f326(f80(x101661),f326(f100(x101661),f326(f326(f3(a920),x101664),f77(a920)))),x101663)))))
% 163.42/163.16 [10308]P106(f326(x103081,f572(x103082,x103083,x103084,x103081)))+P39(x103082,f326(f261(f927(x103082,x103082)),f326(f256(x103082,x103082,a916),f326(f326(f10(f928(x103082,a916),f928(x103082,a916),x103082),f326(f20(x103082,a916,a916),f326(f326(f10(a916,f928(a916,a916),x103082),a324),x103081))),f326(f326(f9(x103082,f928(x103082,x103082),f928(x103082,a916)),f326(f326(f10(f928(x103082,a916),f928(f928(x103082,x103082),f928(x103082,a916)),x103082),f10(x103082,a916,x103082)),a323)),x103083)))))
% 163.42/163.16 [10325]~P106(f326(f326(f235(a920),f326(x103254,f326(x103253,f572(x103251,x103253,x103254,x103252)))),f326(x103254,f572(x103251,x103253,x103254,x103252))))+P39(x103251,f326(f261(f927(x103251,x103251)),f326(f256(x103251,x103251,a916),f326(f326(f10(f928(x103251,a916),f928(x103251,a916),x103251),f326(f20(x103251,a916,a916),f326(f326(f10(a916,f928(a916,a916),x103251),a324),x103252))),f326(f326(f9(x103251,f928(x103251,x103251),f928(x103251,a916)),f326(f326(f10(f928(x103251,a916),f928(f928(x103251,x103251),f928(x103251,a916)),x103251),f10(x103251,a916,x103251)),a323)),x103253)))))
% 163.42/163.16 [10395]~P6(x103951)+E(f36(x103951,f326(f261(x103951),f326(f326(f10(f928(f928(x103952,x103951),a916),a916,x103951),f86(f928(x103952,x103951))),f326(f326(f10(f928(f928(x103952,x103951),a916),f928(f928(x103952,x103951),a916),x103951),f326(f20(f928(x103952,x103951),a916,a916),f326(f326(f10(a916,f928(a916,a916),f928(x103952,x103951)),a324),f326(f326(f9(f928(x103952,x103951),f928(f928(x103952,x103951),a916),a916),f328(f928(x103952,x103951))),x103953)))),f326(f326(f9(x103951,f928(f928(x103952,x103951),x103951),f928(f928(x103952,x103951),a916)),f326(f326(f10(f928(x103951,a916),f928(f928(f928(x103952,x103951),x103951),f928(f928(x103952,x103951),a916)),x103951),f10(x103951,a916,f928(x103952,x103951))),a323)),f326(f326(f9(f928(x103952,x103951),x103952,x103951),f7(f928(x103952,x103951))),x103954)))))),f326(f36(f928(x103952,x103951),x103953),x103954))
% 163.42/163.16 [10396]~P6(x103961)+E(f36(x103961,f326(f261(x103961),f326(f326(f10(f928(f928(x103962,x103961),a916),a916,x103961),f86(f928(x103962,x103961))),f326(f326(f10(f928(f928(x103962,x103961),a916),f928(f928(x103962,x103961),a916),x103961),f326(f20(f928(x103962,x103961),a916,a916),f326(f326(f10(a916,f928(a916,a916),f928(x103962,x103961)),a324),f326(f326(f9(f928(x103962,x103961),f928(f928(x103962,x103961),a916),a916),f328(f928(x103962,x103961))),x103963)))),f326(f326(f9(x103961,f928(f928(x103962,x103961),x103961),f928(f928(x103962,x103961),a916)),f326(f326(f10(f928(x103961,a916),f928(f928(f928(x103962,x103961),x103961),f928(f928(x103962,x103961),a916)),x103961),f10(x103961,a916,f928(x103962,x103961))),a323)),f326(f326(f9(f928(x103962,x103961),x103962,x103961),f7(f928(x103962,x103961))),x103964)))))),f326(f36(f928(x103962,x103961),x103963),x103964))
% 163.42/163.16 [10397]~P6(x103971)+E(f37(x103971,f326(f261(x103971),f326(f326(f10(f928(f928(x103972,x103971),a916),a916,x103971),f86(f928(x103972,x103971))),f326(f326(f10(f928(f928(x103972,x103971),a916),f928(f928(x103972,x103971),a916),x103971),f326(f20(f928(x103972,x103971),a916,a916),f326(f326(f10(a916,f928(a916,a916),f928(x103972,x103971)),a324),f326(f326(f9(f928(x103972,x103971),f928(f928(x103972,x103971),a916),a916),f328(f928(x103972,x103971))),x103973)))),f326(f326(f9(x103971,f928(f928(x103972,x103971),x103971),f928(f928(x103972,x103971),a916)),f326(f326(f10(f928(x103971,a916),f928(f928(f928(x103972,x103971),x103971),f928(f928(x103972,x103971),a916)),x103971),f10(x103971,a916,f928(x103972,x103971))),a323)),f326(f326(f9(f928(x103972,x103971),x103972,x103971),f7(f928(x103972,x103971))),x103974)))))),f326(f37(f928(x103972,x103971),x103973),x103974))
% 163.42/163.16 [10398]~P6(x103981)+E(f37(x103981,f326(f261(x103981),f326(f326(f10(f928(f928(x103982,x103981),a916),a916,x103981),f86(f928(x103982,x103981))),f326(f326(f10(f928(f928(x103982,x103981),a916),f928(f928(x103982,x103981),a916),x103981),f326(f20(f928(x103982,x103981),a916,a916),f326(f326(f10(a916,f928(a916,a916),f928(x103982,x103981)),a324),f326(f326(f9(f928(x103982,x103981),f928(f928(x103982,x103981),a916),a916),f328(f928(x103982,x103981))),x103983)))),f326(f326(f9(x103981,f928(f928(x103982,x103981),x103981),f928(f928(x103982,x103981),a916)),f326(f326(f10(f928(x103981,a916),f928(f928(f928(x103982,x103981),x103981),f928(f928(x103982,x103981),a916)),x103981),f10(x103981,a916,f928(x103982,x103981))),a323)),f326(f326(f9(f928(x103982,x103981),x103982,x103981),f7(f928(x103982,x103981))),x103984)))))),f326(f37(f928(x103982,x103981),x103983),x103984))
% 163.42/163.16 [10451]~P106(f326(f326(f328(f927(x104511,x104511)),f326(f326(f251(x104511,x104511),x104513),x104514)),f326(f326(f110(f928(f927(x104511,x104511),a916)),x104512),f306(x104511,f189(f928(f927(x104511,x104511),a916))))))+P106(f326(f326(f326(f326(f110(f928(x104511,f928(x104511,a916))),f326(f326(f9(x104511,f928(f927(x104511,x104511),a916),f928(x104511,a916)),f326(f326(f10(f928(x104511,f928(f928(f927(x104511,x104511),a916),a916)),f928(f928(f927(x104511,x104511),a916),f928(x104511,a916)),x104511),f9(x104511,f928(f927(x104511,x104511),a916),a916)),f326(f326(f10(f928(x104511,f927(x104511,x104511)),f928(x104511,f928(f928(f927(x104511,x104511),a916),a916)),x104511),f326(f10(f927(x104511,x104511),f928(f928(f927(x104511,x104511),a916),a916),x104511),f328(f927(x104511,x104511)))),f251(x104511,x104511)))),x104512)),a323),x104513),x104514))
% 163.42/163.16 [10461]P106(f326(f326(f328(f927(x104611,x104611)),f326(f326(f251(x104611,x104611),x104612),x104613)),f326(f326(f110(f928(f927(x104611,x104611),a916)),x104614),f306(x104611,f189(f928(f927(x104611,x104611),a916))))))+~P106(f326(f326(f326(f326(f110(f928(x104611,f928(x104611,a916))),f326(f326(f9(x104611,f928(f927(x104611,x104611),a916),f928(x104611,a916)),f326(f326(f10(f928(x104611,f928(f928(f927(x104611,x104611),a916),a916)),f928(f928(f927(x104611,x104611),a916),f928(x104611,a916)),x104611),f9(x104611,f928(f927(x104611,x104611),a916),a916)),f326(f326(f10(f928(x104611,f927(x104611,x104611)),f928(x104611,f928(f928(f927(x104611,x104611),a916),a916)),x104611),f326(f10(f927(x104611,x104611),f928(f928(f927(x104611,x104611),a916),a916),x104611),f328(f927(x104611,x104611)))),f251(x104611,x104611)))),x104614)),a323),x104612),x104613))
% 163.42/163.16 [10406]E(f326(f326(f151(f921(x104061)),f326(f326(f151(x104061),x104062),f326(f142(f921(x104061),f921(x104061),f134(x104061),f113(x104061)),f326(f326(f154(f921(x104061),f921(x104061)),f156(f921(x104061),x104061,f113(x104061),f326(f326(f10(f921(x104061),f928(f921(x104061),f921(x104061)),x104061),f18(f921(x104061),f921(x104061))),f326(f326(f9(x104061,f921(x104061),f921(x104061)),f151(x104061)),f113(x104061))))),x104063)))),f179(x104061,f326(f326(f151(f921(x104061)),x104064),f326(f142(f921(f921(x104061)),f921(f921(x104061)),f134(f921(x104061)),f113(f921(x104061))),f326(f326(f154(f921(x104061),f921(f921(x104061))),f156(f921(f921(x104061)),x104061,f113(f921(x104061)),f326(f18(f928(f921(x104061),f921(f921(x104061))),x104061),f326(f326(f9(f921(x104061),f921(f921(x104061)),f921(f921(x104061))),f151(f921(x104061))),f113(f921(x104061)))))),x104063))))),f179(x104061,f326(f326(f151(f921(x104061)),f326(f326(f151(x104061),x104062),x104064)),x104063)))+~P106(f326(f314(f921(f921(x104061)),f180(x104061)),f326(f326(f151(f921(x104061)),f326(f326(f151(x104061),x104062),x104064)),x104063)))
% 163.42/163.16 [10450]~P106(f326(f60(x104502),f326(f261(x104502),x104504)))+P106(f326(f60(x104501),f326(f261(x104501),f326(f326(f10(f928(x104502,a916),a916,x104501),f86(x104502)),f326(f326(f9(x104501,f928(x104502,a916),f928(x104502,a916)),f326(f326(f10(f928(x104502,f928(a916,a916)),f928(f928(x104502,a916),f928(x104502,a916)),x104501),f20(x104502,a916,a916)),f326(f326(f10(f928(x104502,a916),f928(x104502,f928(a916,a916)),x104501),f326(f10(a916,f928(a916,a916),x104502),a324)),f326(f326(f9(x104501,f928(x104502,x104501),f928(x104502,a916)),f326(f326(f10(f928(x104501,a916),f928(f928(x104502,x104501),f928(x104502,a916)),x104501),f10(x104501,a916,x104502)),a323)),x104503)))),x104504)))))
% 163.42/163.16 [8965]P26(x89651,x89652,x89653,x89654)+~P27(x89651,x89652,x89653,x89654,x89655)
% 163.42/163.16 [5461]E(x54611,x54612)+~E(f169(x54613,x54611,x54614),f169(x54613,x54612,x54615))
% 163.42/163.16 [5462]E(x54621,x54622)+~E(f126(x54623,x54624,x54621),f126(x54623,x54625,x54622))
% 163.42/163.16 [5463]E(x54631,x54632)+~E(f126(x54633,x54631,x54634),f126(x54633,x54632,x54635))
% 163.42/163.16 [8293]~E(f326(x82933,x82934),x82935)+E(f74(x82931,x82932,x82933,x82934,x82935),x82933)
% 163.42/163.16 [8820]~E(f74(x88204,x88205,x88201,x88202,x88203),x88201)+E(f326(x88201,x88202),x88203)
% 163.42/163.16 [9437]~P27(x94372,x94371,x94374,x94373,x94375)+P27(x94371,x94372,f76(x94372,x94371,x94373,x94374),x94375,x94373)
% 163.42/163.16 [9438]~P27(x94382,x94381,x94384,x94383,x94385)+P27(x94381,x94382,f91(x94382,x94381,x94383,x94384),x94385,x94383)
% 163.42/163.16 [6273]P106(f326(f249(x62731,x62732,x62733),x62734))+~P106(f326(f326(x62733,x62735),x62734))
% 163.42/163.16 [6275]P106(f326(f248(x62751,x62752,x62753),x62754))+~P106(f326(f326(x62753,x62754),x62755))
% 163.42/163.16 [6753]~E(x67535,f2(a99))+E(f326(f197(x67531,x67532,x67533,x67534),x67535),f124(x67532))
% 163.42/163.16 [6754]~E(x67545,f2(a99))+E(f326(f199(x67541,x67542,x67543,x67544),x67545),f115(x67542))
% 163.42/163.16 [6891]~E(x68913,f2(a99))+E(f326(f272(x68911,x68912,x68913,x68914),x68915),f326(f251(x68911,x68912),x68915))
% 163.42/163.16 [7943]~P21(x79434,x79431,x79432,x79435)+E(f326(f72(x79431,x79431,x79431,f326(x79432,x79433)),f326(x79432,x79433)),f326(x79432,x79433))
% 163.42/163.16 [8333]~P17(x83335,x83331,x83332)+E(f326(f72(x83331,x83331,x83331,f326(x83332,x83333)),f326(x83332,x83334)),f326(f72(x83331,x83331,x83331,f326(x83332,x83334)),f326(x83332,x83333)))
% 163.42/163.16 [8655]P106(f326(f326(f328(f927(x86551,x86551)),f326(f326(f251(x86551,x86551),x86552),x86553)),f320(x86551,x86554,x86555)))+~P106(f326(f326(f235(a920),f326(x86554,x86552)),f326(x86554,x86553)))
% 163.42/163.16 [8748]~P106(f326(f326(f328(x87484),x87483),f298(x87484,x87481,x87482,x87485)))+P106(f326(f326(x87481,x87482),x87483))
% 163.42/163.16 [8749]~P106(f326(f326(f328(x87494),x87493),f289(x87494,x87491,x87492,x87495)))+P106(f326(f326(x87491,x87492),x87493))
% 163.42/163.16 [8750]~P106(f326(f326(f328(x87504),x87502),f298(x87504,x87501,x87505,x87503)))+P106(f326(f326(x87501,x87502),x87503))
% 163.42/163.16 [8751]~P106(f326(f326(f328(x87514),x87512),f289(x87514,x87511,x87515,x87513)))+P106(f326(f326(x87511,x87512),x87513))
% 163.42/163.16 [8834]~P27(x88341,x88343,x88345,x88342,x88344)+E(f326(f34(x88341),x88342),f326(f34(x88343),x88344))
% 163.42/163.16 [8883]~P27(x88831,x88832,x88833,x88834,x88835)+E(f326(f309(x88831,x88832,x88833),x88834),x88835)
% 163.42/163.16 [8903]~P58(x89032,x89031,x89035,x89033,x89034)+E(f326(f309(x89031,x89032,x89033),x89034),f241(f928(x89032,a916)))
% 163.42/163.16 [9347]~P36(x93471,x93472,x93473,x93474,x93475)+P36(x93471,x93472,x93473,f326(f168(x93471),x93474),f326(f168(x93472),x93475))
% 163.42/163.16 [9349]~P36(x93491,x93492,x93493,f326(f168(x93491),x93494),x93495)+P36(x93491,x93492,x93493,x93494,f326(f168(x93492),x93495))
% 163.42/163.16 [9350]~P36(x93501,x93502,x93503,x93504,f326(f168(x93502),x93505))+P36(x93501,x93502,x93503,f326(f168(x93501),x93504),x93505)
% 163.42/163.16 [9356]P36(x93561,x93562,x93563,x93564,x93565)+~P36(x93561,x93562,x93563,f326(f168(x93561),x93564),f326(f168(x93562),x93565))
% 163.42/163.16 [9765]P106(f326(f326(f328(f927(f921(x97651),f921(x97651))),f326(f326(f251(f921(x97651),f921(x97651)),f326(f326(f151(x97651),x97652),x97653)),f326(f326(f151(x97651),x97652),x97654))),f157(x97651,x97655)))+~P106(f326(f326(f328(f927(f921(x97651),f921(x97651))),f326(f326(f251(f921(x97651),f921(x97651)),x97653),x97654)),f157(x97651,x97655)))
% 163.42/163.16 [9766]P106(f326(f326(f328(f927(f921(x97661),f921(x97661))),f326(f326(f251(f921(x97661),f921(x97661)),f326(f326(f134(x97661),x97662),x97663)),f326(f326(f134(x97661),x97662),x97664))),f147(x97661,x97665)))+~P106(f326(f326(f328(f927(f921(x97661),f921(x97661))),f326(f326(f251(f921(x97661),f921(x97661)),x97663),x97664)),f147(x97661,x97665)))
% 163.42/163.16 [9961]E(f326(f326(f151(x99611),f653(x99612,x99613,x99614,x99615,x99611)),f654(x99612,x99613,x99614,x99615,x99611)),x99615)+~P106(f326(f326(f328(f927(f921(x99611),f921(x99611))),f326(f326(f251(f921(x99611),f921(x99611)),x99615),f326(f326(f151(x99611),x99614),x99613))),f158(x99611,x99612)))
% 163.42/163.16 [9982]E(f326(f326(f151(x99821),f655(x99822,x99823,x99824,x99825,x99821)),f656(x99822,x99823,x99824,x99825,x99821)),x99823)+~P106(f326(f326(f328(f927(f921(x99821),f921(x99821))),f326(f326(f251(f921(x99821),f921(x99821)),f326(f326(f151(x99821),x99825),x99824)),x99823)),f158(x99821,x99822)))
% 163.42/163.16 [10129]~P106(f326(f326(f328(f927(f921(x101291),f921(x101291))),f326(f326(f251(f921(x101291),f921(x101291)),f326(f326(f151(x101291),x101295),x101292)),x101294)),f158(x101291,x101293)))+P106(f326(f326(f328(f927(f921(x101291),f921(x101291))),f326(f326(f251(f921(x101291),f921(x101291)),x101292),f656(x101293,x101294,x101292,x101295,x101291))),f158(x101291,x101293)))
% 163.42/163.16 [10209]~P106(f326(f326(f328(f927(f921(x102091),f921(x102091))),f326(f326(f251(f921(x102091),f921(x102091)),x102095),f326(f326(f151(x102091),x102094),x102093))),f158(x102091,x102092)))+P106(f326(f326(f328(f927(f921(x102091),f921(x102091))),f326(f326(f251(f921(x102091),f921(x102091)),f654(x102092,x102093,x102094,x102095,x102091)),x102093)),f158(x102091,x102092)))
% 163.42/163.16 [10400]P106(f326(f326(f328(f927(x104001,x104001)),f326(f326(f251(x104001,x104001),f326(x104002,f326(f326(f79(a920),x104003),x104004))),f326(x104002,x104003))),f306(x104001,x104005)))+~P106(f326(f326(f328(f927(x104001,x104001)),f326(f326(f251(x104001,x104001),f326(x104002,f326(a112,f613(x104004,x104003,x104005,x104002,x104001)))),f326(x104002,f613(x104004,x104003,x104005,x104002,x104001)))),f306(x104001,x104005)))
% 163.42/163.16 [5429]E(x54291,x54292)+~E(f326(f326(f151(x54293),x54294),x54291),f326(f326(f151(x54293),x54295),x54292))
% 163.42/163.16 [5430]E(x54301,x54302)+~E(f326(f326(f151(x54303),x54301),x54304),f326(f326(f151(x54303),x54302),x54305))
% 163.42/163.16 [5478]P106(f326(x54781,x54782))+~E(f326(f136(x54783,x54781),x54784),f326(f326(f151(x54783),x54782),x54785))
% 163.42/163.16 [5479]P106(f326(x54791,x54792))+~E(f326(f326(f151(x54793),x54792),x54794),f326(f136(x54793,x54791),x54795))
% 163.42/163.16 [5638]~E(f326(f326(f138(x56381),x56383),x56382),f326(f326(f151(x56381),x56384),x56385))+E(f326(f326(f164(x56381),x56382),x56383),x56384)
% 163.42/163.16 [5779]~P15(x57794,x57795,x57791)+E(f326(f326(x57791,x57792),f326(f326(x57791,x57792),x57793)),f326(f326(x57791,x57792),x57793))
% 163.42/163.16 [6333]~E(x63334,f2(a99))+E(f326(f326(f117(x63331,x63332,x63333),x63334),x63335),f326(f326(f251(f921(x63332),x63331),f113(x63332)),x63335))
% 163.42/163.16 [6404]~P109(x64042)+~E(f326(f326(f148(x64041,x64042,x64043),x64044),x64045),f113(x64041))
% 163.42/163.16 [6793]E(x67931,x67932)+~E(f326(f326(f134(x67933),x67934),f326(f326(f151(x67933),x67931),f113(x67933))),f326(f326(f134(x67933),x67935),f326(f326(f151(x67933),x67932),f113(x67933))))
% 163.42/163.16 [6794]E(x67941,x67942)+~E(f326(f326(f134(x67943),x67941),f326(f326(f151(x67943),x67944),f113(x67943))),f326(f326(f134(x67943),x67942),f326(f326(f151(x67943),x67945),f113(x67943))))
% 163.42/163.16 [7109]E(f326(f326(f308(x71091),f326(x71092,x71093)),f326(f309(x71094,x71091,x71092),x71095)),f326(f309(x71094,x71091,x71092),x71095))+~P106(f326(f326(f328(x71094),x71093),x71095))
% 163.42/163.16 [7115]~P106(f326(x71154,f326(x71153,x71155)))+P106(f326(f326(f310(x71151,x71152,x71153),x71154),x71155))
% 163.42/163.16 [7118]~P106(f326(f326(x71183,x71185),x71184))+P106(f326(f326(f242(x71181,x71182,x71183),x71184),x71185))
% 163.42/163.16 [7213]~E(f326(f309(x72131,x72132,x72133),x72134),x72135)+E(f326(f309(f928(x72131,a916),f928(x72132,a916),f309(x72131,x72132,x72133)),f326(f307(x72131),x72134)),f326(f307(x72132),x72135))
% 163.42/163.16 [7242]E(f326(f270(x72421,x72422,x72423,x72424),x72425),f326(x72424,x72425))+~P106(f326(f326(f328(x72421),x72425),x72423))
% 163.42/163.16 [7555]P26(x75551,x75552,x75553,x75554)+~P26(x75551,x75552,x75553,f326(f326(f308(x75551),x75555),x75554))
% 163.42/163.16 [7620]P106(f326(x76201,x76202))+~P106(f326(f326(f92(x76203,x76204,x76201),x76205),x76202))
% 163.42/163.16 [7661]~P106(f326(f326(f328(x76614),x76613),x76615))+P106(f326(f326(f328(x76611),f326(x76612,x76613)),f326(f309(x76614,x76611,x76612),x76615)))
% 163.42/163.16 [7682]~P109(x76822)+E(f150(x76821,x76822,x76823,f326(f136(x76821,x76824),x76825)),f326(f136(x76821,x76824),f150(x76821,x76822,x76823,x76825)))
% 163.42/163.16 [7712]P106(f326(x77121,f326(x77122,x77123)))+~P106(f326(f326(f310(x77124,x77125,x77122),x77121),x77123))
% 163.42/163.16 [7715]P106(f326(f326(x77151,x77152),x77153))+~P106(f326(f326(f242(x77154,x77155,x77151),x77153),x77152))
% 163.42/163.16 [7716]P106(f326(f326(x77161,x77162),x77163))+~P106(f326(f326(f92(x77164,x77161,x77165),x77162),x77163))
% 163.42/163.16 [7779]~P106(f326(f326(f328(x77793),f326(x77794,x77792)),x77795))+P106(f326(f326(f328(x77791),x77792),f326(f310(x77791,x77793,x77794),x77795)))
% 163.42/163.16 [8175]~P106(f326(f326(f328(x81755),x81753),f326(f310(x81755,x81751,x81752),x81754)))+P106(f326(f326(f328(x81751),f326(x81752,x81753)),x81754))
% 163.42/163.16 [8472]~P17(x84722,x84721,x84723)+E(f326(f142(x84721,x84722,f326(f9(x84722,x84721,x84721),x84723),x84724),f152(x84722,x84725)),f326(f326(f63(x84722,x84721,x84723),x84724),f326(f172(x84722),x84725)))
% 163.42/163.16 [8494]E(f326(x84941,f499(x84942,x84941,x84943,x84944)),x84944)+~P106(f326(f326(f328(x84945),x84944),f326(f309(x84943,x84945,x84941),x84942)))
% 163.42/163.16 [8795]~E(x87952,f326(f326(f151(x87951),x87954),x87955))+P106(f326(f326(f328(f927(f921(x87951),f921(x87951))),f326(f326(f251(f921(x87951),f921(x87951)),f113(x87951)),x87952)),f147(x87951,x87953)))
% 163.42/163.16 [8843]E(f326(x88431,f326(f91(x88432,x88433,x88434,x88431),x88435)),x88435)+~P106(f326(f326(f328(x88433),x88435),f326(f309(x88432,x88433,x88431),x88434)))
% 163.42/163.16 [8846]P26(x88461,x88462,f91(x88462,x88461,x88463,x88464),x88465)+~P106(f326(f326(f234(f928(x88461,a916)),x88465),f326(f309(x88462,x88461,x88464),x88463)))
% 163.42/163.16 [8853]~P36(x88531,x88533,x88535,x88532,x88534)+E(f326(f190(f921(x88531)),x88532),f326(f190(f921(x88533)),x88534))
% 163.42/163.16 [8864]P106(f326(f326(f234(f928(x88641,a916)),f326(f326(f38(x88642,f928(x88641,a916)),x88643),x88644)),f326(x88644,x88645)))+~P106(f326(f326(f328(x88642),x88645),x88643))
% 163.42/163.16 [8919]~P58(x89191,x89192,x89193,x89195,x89194)+E(f326(f309(x89191,x89192,x89193),f241(f928(x89191,a916))),x89194)
% 163.42/163.16 [9144]E(f326(f136(x91441,x91442),f745(x91443,x91444,x91445,x91442,x91441)),x91443)+~E(f326(f136(x91441,x91442),x91445),f326(f326(f151(x91441),x91444),x91443))
% 163.42/163.16 [9145]E(f326(f136(x91451,x91452),f746(x91453,x91452,x91454,x91455,x91451)),x91454)+~E(f326(f326(f151(x91451),x91455),x91454),f326(f136(x91451,x91452),x91453))
% 163.42/163.16 [9236]E(f326(f190(f921(x92361)),x92362),x92363)+~P106(f326(f326(f328(f927(f921(x92361),f921(x92361))),f326(f326(f251(f921(x92361),f921(x92361)),x92364),x92362)),f326(f143(x92361,x92365),x92363)))
% 163.42/163.16 [9237]E(f326(f190(f921(x92371)),x92372),x92373)+~P106(f326(f326(f328(f927(f921(x92371),f921(x92371))),f326(f326(f251(f921(x92371),f921(x92371)),x92372),x92374)),f326(f143(x92371,x92375),x92373)))
% 163.42/163.16 [9306]P106(f326(f326(f328(x93061),f499(x93062,x93063,x93061,x93064)),x93062))+~P106(f326(f326(f328(x93065),x93064),f326(f309(x93061,x93065,x93063),x93062)))
% 163.42/163.16 [9464]E(f326(f309(x94641,x94642,x94643),f500(x94644,x94643,x94641,x94645,x94642)),x94645)+~P106(f326(f326(f234(f928(x94642,a916)),x94645),f326(f309(x94641,x94642,x94643),x94644)))
% 163.42/163.16 [9783]P106(f326(f326(f328(f927(f921(x97831),f921(x97831))),f326(f326(f251(f921(x97831),f921(x97831)),f326(f326(f151(x97831),x97832),x97833)),f326(f326(f151(x97831),x97832),x97834))),f306(f921(x97831),f157(x97831,x97835))))+~P106(f326(f326(f328(f927(f921(x97831),f921(x97831))),f326(f326(f251(f921(x97831),f921(x97831)),x97833),x97834)),f306(f921(x97831),f157(x97831,x97835))))
% 163.42/163.16 [9814]~E(f326(x98143,f694(x98145,x98144,x98143,x98142,x98141)),f326(x98145,f694(x98145,x98144,x98143,x98142,x98141)))+E(f326(f326(f154(x98141,x98142),x98143),x98144),f326(f326(f154(x98141,x98142),x98145),x98144))
% 163.42/163.16 [9889]~E(f326(f136(x98891,x98895),x98894),f326(f326(f151(x98891),x98893),x98892))+E(f326(f326(f134(x98891),f747(x98892,x98893,x98894,x98895,x98891)),f326(f326(f151(x98891),x98893),f745(x98892,x98893,x98894,x98895,x98891))),x98894)
% 163.42/163.16 [9890]~E(f326(f326(f151(x98901),x98905),x98904),f326(f136(x98901,x98903),x98902))+E(f326(f326(f134(x98901),f743(x98902,x98903,x98904,x98905,x98901)),f326(f326(f151(x98901),x98905),f746(x98902,x98903,x98904,x98905,x98901))),x98902)
% 163.42/163.16 [9894]E(f326(f326(f154(x98941,x98942),x98943),x98944),f326(f326(f154(x98941,x98942),x98945),x98944))+P106(f326(f326(f328(x98941),f694(x98943,x98944,x98945,x98942,x98941)),f326(f172(x98941),x98944)))
% 163.42/163.16 [9924]~P106(f326(f326(f328(x99245),x99244),f326(f284(x99241,x99245,x99243),x99242)))+P106(f326(f326(f328(x99241),f401(x99242,x99243,x99241,x99244,x99245)),x99242))
% 163.42/163.16 [9925]~P106(f326(f326(f328(x99255),x99254),f326(f284(x99251,x99255,x99253),x99252)))+P106(f326(f326(f328(x99251),f481(x99252,x99253,x99251,x99254,x99255)),x99252))
% 163.42/163.16 [9955]~P106(f326(f326(f234(f928(x99555,a916)),x99554),f326(f309(x99551,x99555,x99553),x99552)))+P106(f326(f326(f234(f928(x99551,a916)),f500(x99552,x99553,x99551,x99554,x99555)),x99552))
% 163.42/163.16 [10401]E(x104011,f2(a99))+E(f224(f927(f921(x104012),x104013),f927(x104012,x104013),f326(f326(f251(f921(x104012),x104013),f113(x104012)),x104014),f326(f256(x104012,x104013,f927(f921(x104012),x104013)),f326(f326(f9(x104012,f928(x104013,f927(f921(x104012),x104013)),f928(x104013,f927(f921(x104012),x104013))),f326(f326(f10(f928(f927(f921(x104012),x104013),f927(f921(x104012),x104013)),f928(f928(x104013,f927(f921(x104012),x104013)),f928(x104013,f927(f921(x104012),x104013))),x104012),f10(f927(f921(x104012),x104013),f927(f921(x104012),x104013),x104013)),f326(f326(f10(f928(f921(x104012),f928(x104013,f927(f921(x104012),x104013))),f928(f927(f921(x104012),x104013),f927(f921(x104012),x104013)),x104012),f256(f921(x104012),x104013,f927(f921(x104012),x104013))),f326(f326(f10(f928(f921(x104012),f921(x104012)),f928(f921(x104012),f928(x104013,f927(f921(x104012),x104013))),x104012),f326(f10(f921(x104012),f928(x104013,f927(f921(x104012),x104013)),f921(x104012)),f251(f921(x104012),x104013))),f151(x104012))))),f326(f117(x104013,x104012,x104015),f326(f326(f3(a99),x104011),f77(a99))))),f326(x104015,x104014)),f326(f326(f117(x104013,x104012,x104015),x104011),x104014))
% 163.42/163.16 [6207]E(x62071,x62072)+~E(f326(f255(x62073,x62074),f326(f326(f251(x62073,x62074),x62075),x62071)),x62072)
% 163.42/163.16 [6208]E(x62081,x62082)+~E(f326(f250(x62083,x62084),f326(f326(f251(x62083,x62084),x62081),x62085)),x62082)
% 163.42/163.16 [6478]~E(x64783,f326(f326(f134(x64781),x64784),f326(f326(f151(x64781),x64782),x64785)))+P106(f326(f326(f328(x64781),x64782),f326(f172(x64781),x64783)))
% 163.42/163.16 [6878]E(f326(f309(x68781,x68782,f326(f18(x68782,x68781),x68783)),x68784),f326(f326(f308(x68782),x68783),f189(f928(x68782,a916))))+~P106(f326(f326(f328(x68781),x68785),x68784))
% 163.42/163.16 [6950]E(f326(f326(f110(f928(x69501,a916)),f326(f172(x69501),x69502)),f326(f172(x69501),x69503)),f326(f172(x69501),x69504))+~E(f166(x69501,x69505,x69504),f326(f326(f251(f921(x69501),f921(x69501)),x69502),x69503))
% 163.42/163.16 [7049]~P109(x70492)+E(f326(f190(f921(x70491)),f326(f326(f148(x70491,x70492,x70493),x70494),x70495)),f326(a112,f326(f190(f921(x70491)),x70495)))
% 163.42/163.16 [7063]~P109(x70632)+E(f326(f172(x70631),f326(f326(f148(x70631,x70632,x70633),x70634),x70635)),f326(f326(f308(x70631),x70634),f326(f172(x70631),x70635)))
% 163.42/163.16 [7336]~P113(x73361)+E(f326(f326(f80(x73361),f326(f326(f80(x73361),x73362),x73363)),f326(f326(f80(x73361),x73364),x73365)),f326(f326(f80(x73361),f326(f326(f80(x73361),x73362),x73364)),f326(f326(f80(x73361),x73363),x73365)))
% 163.42/163.16 [7337]~P113(x73371)+E(f326(f326(f79(x73371),f326(f326(f79(x73371),x73372),x73373)),f326(f326(f79(x73371),x73374),x73375)),f326(f326(f79(x73371),f326(f326(f79(x73371),x73372),x73374)),f326(f326(f79(x73371),x73373),x73375)))
% 163.42/163.16 [7338]~P65(x73381)+E(f326(f326(f290(x73381),f326(f326(f80(x73381),x73382),x73383)),f326(f326(f80(x73381),x73384),x73385)),f326(f326(f80(x73381),f326(f326(f290(x73381),x73382),x73384)),f326(f326(f290(x73381),x73383),x73385)))
% 163.42/163.16 [7352]~P109(x73521)+E(f302(x73521,f326(f326(f233(x73521),x73522),x73523),f326(f326(f188(x73521),x73524),x73525)),f326(f326(f101(f928(x73521,a916)),f302(x73521,x73522,x73524)),f302(x73521,x73523,x73525)))
% 163.42/163.16 [7353]~P109(x73531)+E(f305(x73531,f326(f326(f233(x73531),x73532),x73533),f326(f326(f188(x73531),x73534),x73535)),f326(f326(f101(f928(x73531,a916)),f305(x73531,x73532,x73534)),f305(x73531,x73533,x73535)))
% 163.42/163.16 [7354]~P109(x73541)+E(f304(x73541,f326(f326(f233(x73541),x73542),x73543),f326(f326(f188(x73541),x73544),x73545)),f326(f326(f101(f928(x73541,a916)),f304(x73541,x73542,x73544)),f304(x73541,x73543,x73545)))
% 163.42/163.16 [7355]~P109(x73551)+E(f326(f326(f101(f928(x73551,a916)),f326(f301(x73551,x73552),x73553)),f326(f301(x73551,x73554),x73555)),f326(f301(x73551,f326(f326(f233(x73551),x73552),x73554)),f326(f326(f188(x73551),x73553),x73555)))
% 163.42/163.16 [7477]~P106(f326(x74771,f392(x74773,x74772,x74771)))+P106(f326(x74771,f326(f326(f251(x74772,x74773),x74774),x74775)))
% 163.42/163.16 [7586]~E(x75862,f326(x75864,x75865))+P106(f326(f326(f328(x75861),x75862),f326(f309(x75863,x75861,x75864),f241(f928(x75863,a916)))))
% 163.42/163.16 [7658]~P17(x76583,x76582,x76584)+P17(x76581,x76582,f326(f326(f10(x76583,f928(x76582,x76582),x76581),x76584),x76585))
% 163.42/163.16 [7659]~P15(x76593,x76592,x76594)+P15(x76591,x76592,f326(f326(f10(x76593,f928(x76592,x76592),x76591),x76594),x76595))
% 163.42/163.16 [7796]~P26(x77961,x77962,x77963,x77964)+P26(x77961,x77962,x77963,f326(f326(f3(f928(x77961,a916)),x77964),x77965))
% 163.42/163.16 [7952]~P106(f326(f326(x79523,x79524),x79525))+P106(f326(f326(f256(x79521,x79522,a916),x79523),f326(f326(f251(x79521,x79522),x79524),x79525)))
% 163.42/163.16 [8064]~P106(f326(x80642,x80644))+~E(f326(f326(f138(x80641),f326(f190(f921(x80641)),f177(x80641,x80642,x80643))),x80643),f326(f326(f151(x80641),x80644),x80645))
% 163.42/163.16 [8084]P26(x80841,x80842,x80843,x80844)+~P26(x80841,x80842,x80843,f326(f326(f110(f928(x80841,a916)),x80845),x80844))
% 163.42/163.16 [8085]P26(x80851,x80852,x80853,x80854)+~P26(x80851,x80852,x80853,f326(f326(f110(f928(x80851,a916)),x80854),x80855))
% 163.42/163.16 [8132]~P109(x81322)+E(f326(f326(f148(x81321,x81322,x81323),x81324),f150(x81321,x81322,x81323,x81325)),f150(x81321,x81322,x81323,f326(f326(f151(x81321),x81324),x81325)))
% 163.42/163.16 [8449]~P15(x84492,x84491,x84493)+E(f326(f142(x84491,x84492,f326(f9(x84492,x84491,x84491),x84493),x84494),x84495),f326(f326(f63(x84492,x84491,x84493),x84494),f326(f172(x84492),x84495)))
% 163.42/163.16 [8477]~E(f326(f326(f138(x84771),f326(f190(f921(x84771)),f177(x84771,x84772,x84773))),x84773),f326(f326(f151(x84771),x84774),x84775))+E(f326(f326(f134(x84771),f177(x84771,x84772,x84773)),f326(f326(f151(x84771),x84774),x84775)),x84773)
% 163.42/163.16 [8504]P106(f326(f326(x85041,x85042),x85043))+~P106(f326(f326(f256(x85044,x85045,a916),x85041),f326(f326(f251(x85044,x85045),x85042),x85043)))
% 163.42/163.16 [8982]P106(f326(f326(f234(f928(x89821,a916)),f326(f310(x89821,x89822,x89823),x89824)),f326(f310(x89821,x89822,x89823),x89825)))+~P106(f326(f326(f234(f928(x89822,a916)),x89824),x89825))
% 163.42/163.16 [8983]P106(f326(f326(f234(f928(x89831,a916)),f326(f309(x89832,x89831,x89833),x89834)),f326(f309(x89832,x89831,x89833),x89835)))+~P106(f326(f326(f234(f928(x89832,a916)),x89834),x89835))
% 163.42/163.16 [9062]E(x90621,f2(a99))+E(f326(f326(f258(x90622,x90623,x90622,f927(x90623,x90622)),f326(x90624,x90625)),f272(x90623,x90622,f326(f326(f3(a99),x90621),f77(a99)),x90624)),f326(f272(x90623,x90622,x90621,x90624),x90625))
% 163.42/163.16 [9169]P106(f326(f326(f254(x91691,x91692,a916,x91693),x91694),x91695))+~P106(f326(x91693,f326(f326(f251(x91691,x91692),x91694),x91695)))
% 163.42/163.16 [9443]~P106(f326(f326(f254(x94432,x94433,a916,x94431),x94434),x94435))+P106(f326(x94431,f326(f326(f251(x94432,x94433),x94434),x94435)))
% 163.42/163.16 [9627]~P106(f326(f326(f328(x96272),x96275),f326(f309(x96271,x96272,x96274),x96273)))+P106(f326(f326(f328(x96271),f326(f91(x96271,x96272,x96273,x96274),x96275)),x96273))
% 163.42/163.16 [9725]~P106(f326(f60(x97253),f326(f309(x97252,x97253,x97255),f241(f928(x97252,a916)))))+P106(f326(f60(x97251),f326(f309(x97252,x97251,f326(f326(f10(x97253,x97251,x97252),x97254),x97255)),f241(f928(x97252,a916)))))
% 163.42/163.16 [9750]P106(f326(f326(f234(f928(f928(x97501,a916),a916)),f326(f309(f928(x97502,a916),f928(x97501,a916),f309(x97502,x97501,x97503)),f326(f307(x97502),x97504))),f326(f307(x97501),x97505)))+~P106(f326(f326(f234(f928(x97501,a916)),f326(f309(x97502,x97501,x97503),x97504)),x97505))
% 163.42/163.16 [9822]E(x98221,x98222)+~P106(f326(f65(x98223,x98224,x98225,x98221,f189(f928(x98223,a916))),x98222))
% 163.42/163.16 [9838]E(f326(f326(f251(x98381,x98382),f544(x98383,x98384,x98385,x98382,x98381)),f545(x98383,x98384,x98385,x98382,x98381)),x98385)+~P106(f326(f326(f328(f927(x98381,x98382)),x98385),f326(f326(f253(x98381,x98382),x98384),x98383)))
% 163.42/163.16 [9930]P106(f326(f326(f328(x99301),f544(x99302,x99303,x99304,x99305,x99301)),x99303))+~P106(f326(f326(f328(f927(x99301,x99305)),x99304),f326(f326(f253(x99301,x99305),x99303),x99302)))
% 163.42/163.16 [10030]P25(x100305,x100304,f326(f326(f308(f919(x100305)),f326(f326(f326(f90(x100305),x100301),x100303),x100302)),f189(f928(f919(x100305),a916))))+P106(f326(f326(x100301,f529(x100302,x100303,x100304,x100305,x100301)),f530(x100302,x100303,x100304,x100305,x100301)))
% 163.42/163.16 [10086]P106(f326(f326(f328(x100861),f545(x100862,x100863,x100864,x100861,x100865)),f326(x100862,f544(x100862,x100863,x100864,x100861,x100865))))+~P106(f326(f326(f328(f927(x100865,x100861)),x100864),f326(f326(f253(x100865,x100861),x100863),x100862)))
% 163.42/163.16 [10106]P106(f326(f326(f328(f927(x101061,x101061)),f326(f326(f251(x101061,x101061),x101062),f633(x101063,x101064,x101065,x101062,x101061))),x101063))+~P106(f326(f326(f328(f927(x101061,x101061)),f326(f326(f251(x101061,x101061),x101062),x101065)),f326(f326(f183(f927(x101061,x101061),a916),f326(a112,x101064)),x101063)))
% 163.42/163.16 [10107]P106(f326(f326(f328(f927(x101071,x101071)),f326(f326(f251(x101071,x101071),x101072),f634(x101073,x101074,x101075,x101072,x101071))),x101073))+~P106(f326(f326(f328(f927(x101071,x101071)),f326(f326(f251(x101071,x101071),x101072),x101075)),f326(f326(f183(f927(x101071,x101071),a916),f326(a112,x101074)),x101073)))
% 163.42/163.16 [10124]~P106(f326(f326(f328(f927(f921(x101241),f921(x101241))),f326(f326(f251(f921(x101241),f921(x101241)),f326(f326(f151(x101241),x101242),x101245)),x101244)),f158(x101241,x101243)))+P106(f326(f326(f328(f927(x101241,x101241)),f326(f326(f251(x101241,x101241),x101242),f655(x101243,x101244,x101245,x101242,x101241))),x101243))
% 163.42/163.16 [10126]~P25(x101261,x101262,f326(f326(f308(f919(x101261)),f326(f326(f326(f90(x101261),f92(x101261,x101263,x101264)),x101265),x101263)),f189(f928(f919(x101261),a916))))+P25(x101261,x101262,f326(f326(f308(f919(x101261)),f326(f326(f326(f90(x101261),x101263),f29(x101264,x101265)),f92(x101261,x101263,f326(f72(a916,a916,a918,a321),x101264)))),f189(f928(f919(x101261),a916))))
% 163.42/163.16 [10127]~P30(x101271,x101272,f326(f326(f308(f919(x101271)),f326(f326(f326(f90(x101271),f92(x101271,x101273,x101274)),x101275),x101273)),f189(f928(f919(x101271),a916))))+P30(x101271,x101272,f326(f326(f308(f919(x101271)),f326(f326(f326(f90(x101271),x101273),f29(x101274,x101275)),f92(x101271,x101273,f326(f72(a916,a916,a918,a321),x101274)))),f189(f928(f919(x101271),a916))))
% 163.42/163.16 [10427]P25(x104271,x104272,f326(f326(f308(f919(x104271)),f326(f326(f326(f90(x104271),x104273),x104274),x104275)),f189(f928(f919(x104271),a916))))+~P25(x104271,x104272,f326(f326(f308(f919(x104271)),f326(f326(f326(f90(x104271),f326(f18(f928(a918,a916),x104271),f326(f326(f9(a918,a918,a916),a323),f530(x104275,x104274,x104272,x104271,x104273)))),x104274),f326(f18(f928(a918,a916),x104271),f326(x104275,f529(x104275,x104274,x104272,x104271,x104273))))),f189(f928(f919(x104271),a916))))
% 163.42/163.16 [6558]P106(f326(x65582,x65584))+E(f177(x65581,x65582,f326(f326(f134(x65581),x65583),f326(f326(f151(x65581),x65584),x65585))),f177(x65581,x65582,x65583))
% 163.42/163.16 [6607]~P2(x66072)+E(f326(f326(f326(f110(f928(x66071,x66072)),x66073),x66074),x66075),f326(f326(f110(x66072),f326(x66073,x66075)),f326(x66074,x66075)))
% 163.42/163.16 [6609]~P4(x66092)+E(f326(f326(f326(f3(f928(x66091,x66092)),x66093),x66094),x66095),f326(f326(f3(x66092),f326(x66093,x66095)),f326(x66094,x66095)))
% 163.42/163.16 [6611]~P2(x66112)+E(f326(f326(f326(f101(f928(x66111,x66112)),x66113),x66114),x66115),f326(f326(f101(x66112),f326(x66113,x66115)),f326(x66114,x66115)))
% 163.42/163.16 [6628]E(x66281,x66282)+E(f326(f326(f164(x66283),f326(f326(f159(x66283,x66284),x66281),x66285)),x66282),f326(f326(f164(x66283),x66284),x66282))
% 163.42/163.16 [6896]~E(x68964,f189(f928(x68963,a916)))+E(f326(f326(f110(f928(x68961,a916)),x68962),f326(f326(f39(x68963,f928(x68961,a916)),x68964),x68965)),x68962)
% 163.42/163.16 [6897]~E(x68974,f189(f928(x68973,a916)))+E(f326(f326(f3(f928(x68971,a916)),x68972),f326(f326(f39(x68973,f928(x68971,a916)),x68974),x68975)),x68972)
% 163.42/163.16 [6898]~E(x68984,f189(f928(x68983,a916)))+E(f326(f326(f101(f928(x68981,a916)),x68982),f326(f326(f38(x68983,f928(x68981,a916)),x68984),x68985)),x68982)
% 163.42/163.16 [6913]~E(x69134,f189(f928(x69133,a916)))+E(f326(f326(f308(x69131),x69132),f326(f326(f39(x69133,f928(x69131,a916)),x69134),x69135)),f326(f326(f308(x69131),x69132),f189(f928(x69131,a916))))
% 163.42/163.16 [7704]E(f326(f326(f164(x77041),f326(f326(f154(x77042,x77041),x77043),x77044)),x77045),f326(x77043,f326(f326(f164(x77042),x77044),x77045)))+~P106(f326(f326(f235(a920),x77045),f326(f190(f921(x77042)),x77044)))
% 163.42/163.16 [7767]E(f326(f326(f110(f928(x77671,a916)),f326(x77672,x77673)),f326(f326(f39(x77674,f928(x77671,a916)),x77675),x77672)),f326(f326(f39(x77674,f928(x77671,a916)),x77675),x77672))+~P106(f326(f326(f328(x77674),x77673),x77675))
% 163.42/163.16 [7768]E(f326(f326(f101(f928(x77681,a916)),f326(x77682,x77683)),f326(f326(f38(x77684,f928(x77681,a916)),x77685),x77682)),f326(f326(f38(x77684,f928(x77681,a916)),x77685),x77682))+~P106(f326(f326(f328(x77684),x77683),x77685))
% 163.42/163.16 [8372]~E(x83723,f189(f928(x83721,a916)))+E(f326(f326(f39(x83721,f928(x83722,a916)),x83723),f326(f326(f10(f928(x83722,a916),f928(x83722,a916),x83721),f326(f308(x83722),x83724)),x83725)),f189(f928(x83722,a916)))
% 163.42/163.16 [8377]~P106(f326(f326(f328(x83774),x83773),x83775))+P106(f326(f326(f234(f928(x83771,a916)),f326(x83772,x83773)),f326(f326(f39(x83774,f928(x83771,a916)),x83775),x83772)))
% 163.42/163.16 [8503]~E(f326(x85034,x85032),x85035)+P106(f326(f326(f328(x85031),x85032),f326(f310(x85031,x85033,x85034),f326(f326(f308(x85033),x85035),f189(f928(x85033,a916))))))
% 163.42/163.16 [8550]~P56(x85501,x85502,f326(f285(x85502,x85501),x85503))+E(f326(f326(f101(f928(x85501,a916)),f326(f284(x85502,x85501,x85503),x85504)),f326(f284(x85502,x85501,x85503),x85505)),f326(f284(x85502,x85501,x85503),f326(f326(f101(f928(x85502,a916)),x85504),x85505)))
% 163.42/163.16 [8624]E(x86241,f2(a99))+E(f326(f118(x86242,x86243,f326(x86244,f326(f326(f3(a99),x86241),f77(a99)))),f326(f326(f9(x86242,a99,f922(x86243)),x86245),x86241)),f326(f199(x86242,x86243,x86244,x86245),x86241))
% 163.42/163.16 [8662]E(x86621,f189(f928(x86622,a916)))+E(f326(f326(f39(x86622,f928(x86623,a916)),x86621),f326(f326(f10(f928(x86623,a916),f928(x86623,a916),x86622),f326(f308(x86623),x86624)),x86625)),f326(f326(f308(x86623),x86624),f326(f326(f39(x86622,f928(x86623,a916)),x86621),x86625)))
% 163.42/163.16 [8713]~P26(x87132,x87131,x87133,f241(f928(x87132,a916)))+E(f326(f326(f3(f928(x87131,a916)),f326(f309(x87132,x87131,x87133),x87134)),f326(f309(x87132,x87131,x87133),x87135)),f326(f309(x87132,x87131,x87133),f326(f326(f3(f928(x87132,a916)),x87134),x87135)))
% 163.42/163.16 [8714]~P26(x87142,x87141,x87143,f241(f928(x87142,a916)))+E(f326(f326(f101(f928(x87141,a916)),f326(f309(x87142,x87141,x87143),x87144)),f326(f309(x87142,x87141,x87143),x87145)),f326(f309(x87142,x87141,x87143),f326(f326(f101(f928(x87142,a916)),x87144),x87145)))
% 163.42/163.16 [8782]~P106(f326(f326(f66(x87821,x87822,x87825),x87823),x87824))+P106(f326(f326(f328(f927(x87821,x87822)),f326(f326(f251(x87821,x87822),x87823),x87824)),x87825))
% 163.42/163.16 [8814]P106(f326(f326(f328(x88141),x88142),f326(f283(x88143,x88141),x88144)))+~P106(f326(f326(f328(f927(x88143,x88141)),f326(f326(f251(x88143,x88141),x88145),x88142)),x88144))
% 163.42/163.16 [8816]P106(f326(f326(f328(x88161),x88162),f326(f263(x88161,x88163),x88164)))+~P106(f326(f326(f328(f927(x88161,x88163)),f326(f326(f251(x88161,x88163),x88162),x88165)),x88164))
% 163.42/163.16 [8966]P106(f326(f326(f66(x89661,x89662,x89663),x89664),x89665))+~P106(f326(f326(f328(f927(x89661,x89662)),f326(f326(f251(x89661,x89662),x89664),x89665)),x89663))
% 163.42/163.16 [9005]E(f326(x90051,x90052),x90053)+~P106(f326(f326(f328(x90054),x90052),f326(f310(x90054,x90055,x90051),f326(f326(f308(x90055),x90053),f189(f928(x90055,a916))))))
% 163.42/163.16 [9233]P106(f326(f326(f328(f927(x92331,x92332)),f326(f326(f251(x92331,x92332),x92333),x92334)),f326(f285(x92332,x92331),x92335)))+~P106(f326(f326(f328(f927(x92332,x92331)),f326(f326(f251(x92332,x92331),x92334),x92333)),x92335))
% 163.42/163.16 [9251]~P106(f326(f326(x92511,x92515),x92514))+P106(f326(f326(x92511,f326(f255(x92512,x92513),f326(f326(f251(x92512,x92513),x92514),x92515))),f326(f250(x92512,x92513),f326(f326(f251(x92512,x92513),x92514),x92515))))
% 163.42/163.16 [9281]~P106(f326(f326(f328(f927(x92812,x92811)),f326(f326(f251(x92812,x92811),x92814),x92813)),f326(f285(x92811,x92812),x92815)))+P106(f326(f326(f328(f927(x92811,x92812)),f326(f326(f251(x92811,x92812),x92813),x92814)),x92815))
% 163.42/163.16 [9313]~P106(f326(f326(f328(f927(x93133,x93131)),f326(f326(f251(x93133,x93131),x93135),x93132)),x93134))+P106(f326(f326(f328(x93131),x93132),f326(f284(x93133,x93131,x93134),f326(f326(f308(x93133),x93135),f189(f928(x93133,a916))))))
% 163.42/163.16 [9360]P106(f326(f326(f328(f927(x93601,x93602)),f326(f326(f251(x93601,x93602),x93603),x93604)),x93605))+~P106(f326(f326(f328(x93602),x93604),f326(f284(x93601,x93602,x93605),f326(f326(f308(x93601),x93603),f189(f928(x93601,a916))))))
% 163.42/163.16 [9450]~P72(x94501)+E(f326(f326(f8(a920,x94501),x94502),f302(a920,f326(f326(f79(a920),x94503),x94504),f326(f326(f79(a920),x94505),x94504))),f326(f326(f8(a920,x94501),f326(f326(f10(a920,x94501,a920),x94502),f326(f326(f9(a920,a920,a920),f79(a920)),x94504))),f302(a920,x94503,x94505)))
% 163.42/163.16 [9469]~P72(x94691)+E(f326(f326(f8(a920,x94691),x94692),f326(f301(a920,f326(f326(f79(a920),x94693),x94694)),f326(f326(f79(a920),x94695),x94694))),f326(f326(f8(a920,x94691),f326(f326(f10(a920,x94691,a920),x94692),f326(f326(f9(a920,a920,a920),f79(a920)),x94694))),f326(f301(a920,x94693),x94695)))
% 163.42/163.16 [9527]~P26(x95271,x95272,x95273,f241(f928(x95271,a916)))+E(f326(f326(f154(x95271,x95272),x95273),f326(f136(x95271,f326(f326(f10(a916,a916,x95271),a321),f326(a323,x95274))),x95275)),f326(f136(x95272,f326(f326(f10(a916,a916,x95272),a321),f326(a323,f326(x95273,x95274)))),f326(f326(f154(x95271,x95272),x95273),x95275)))
% 163.42/163.16 [9545]~P26(x95451,x95452,x95453,f326(f326(f308(x95451),x95454),f326(f172(x95451),x95455)))+E(f326(f326(f154(x95451,x95452),x95453),f326(f136(x95451,f326(f326(f10(a916,a916,x95451),a321),f326(a323,x95454))),x95455)),f326(f136(x95452,f326(f326(f10(a916,a916,x95452),a321),f326(a323,f326(x95453,x95454)))),f326(f326(f154(x95451,x95452),x95453),x95455)))
% 163.42/163.16 [9713]P106(f326(f326(f328(f927(f921(x97131),f921(x97131))),f326(f326(f251(f921(x97131),f921(x97131)),f326(f326(f151(x97131),x97132),x97133)),f326(f326(f151(x97131),x97134),x97133))),f157(x97131,x97135)))+~P106(f326(f326(f328(f927(x97131,x97131)),f326(f326(f251(x97131,x97131),x97132),x97134)),x97135))
% 163.42/163.16 [9833]E(f326(f326(f308(x98331),f550(x98332,x98333,x98334,x98335,x98331)),f564(x98332,x98333,x98334,x98335,x98331)),f326(f326(f308(x98331),x98334),x98333))+~P106(f326(f61(x98331,x98335,f326(f326(f308(x98331),x98334),x98333)),x98332))
% 163.42/163.16 [9834]E(f326(f326(f308(x98341),f577(x98342,x98343,x98344,x98345,x98341)),f587(x98342,x98343,x98344,x98345,x98341)),f326(f326(f308(x98341),x98344),x98343))+~P106(f326(f61(x98341,x98345,f326(f326(f308(x98341),x98344),x98343)),x98342))
% 163.42/163.16 [9915]P106(f326(f326(f328(x99151),f452(x99152,x99153,x99154,x99155,x99151)),x99154))+P106(f326(f326(f326(f38(x99151,f928(x99155,a916)),x99154),x99153),x99152))
% 163.42/163.16 [9920]P106(f326(f326(f328(x99201),f426(x99202,x99203,x99201,x99204,x99205)),x99203))+P106(f326(f326(f328(x99205),x99204),f326(f326(f38(x99201,f928(x99205,a916)),x99203),x99202)))
% 163.42/163.16 [9928]P106(f326(f326(f328(x99281),f428(x99282,x99283,x99281,x99284,x99285)),x99283))+P106(f326(f326(f234(f928(x99285,a916)),x99284),f326(f326(f38(x99281,f928(x99285,a916)),x99283),x99282)))
% 163.42/163.16 [9929]P106(f326(f326(f328(x99291),f835(x99292,x99293,x99294,x99295,x99291)),x99295))+P106(f326(f326(f234(f928(x99294,a916)),x99293),f326(f326(f38(x99291,f928(x99294,a916)),x99295),x99292)))
% 163.42/163.16 [9931]P106(f326(f326(x99311,f440(x99312,x99311,x99313,x99314,x99315)),x99312))+~P106(f326(f326(f326(f39(x99315,f928(x99314,a916)),x99313),x99311),x99312))
% 163.42/163.16 [9935]P106(f326(f326(f328(x99351),f440(x99352,x99353,x99354,x99355,x99351)),x99354))+~P106(f326(f326(f326(f39(x99351,f928(x99355,a916)),x99354),x99353),x99352))
% 163.42/163.16 [9936]P54(x99364,f326(f326(f38(x99361,f928(x99364,a916)),x99365),x99363),f326(f326(f38(x99361,f928(f927(x99364,x99364),a916)),x99365),x99362))+P106(f326(f326(f328(x99361),f774(x99362,x99363,x99364,x99365,x99361)),x99365))
% 163.42/163.16 [9937]P54(x99374,f326(f326(f39(x99371,f928(x99374,a916)),x99375),x99373),f326(f326(f39(x99371,f928(f927(x99374,x99374),a916)),x99375),x99372))+P106(f326(f326(f328(x99371),f827(x99372,x99373,x99374,x99375,x99371)),x99375))
% 163.42/163.16 [9947]P106(f326(f326(f328(x99471),f427(x99472,x99473,x99471,x99474,x99475)),x99473))+~P106(f326(f326(f328(x99475),x99474),f326(f326(f39(x99471,f928(x99475,a916)),x99473),x99472)))
% 163.42/163.16 [9953]P106(f326(f326(f328(x99531),x99532),f326(x99533,f427(x99533,x99534,x99535,x99532,x99531))))+~P106(f326(f326(f328(x99531),x99532),f326(f326(f39(x99535,f928(x99531,a916)),x99534),x99533)))
% 163.42/163.16 [10035]~P106(f326(f326(x100354,f452(x100355,x100354,x100353,x100352,x100351)),x100355))+P106(f326(f326(f326(f38(x100351,f928(x100352,a916)),x100353),x100354),x100355))
% 163.42/163.16 [10038]~P106(f326(f326(f328(x100381),x100382),f326(x100385,f426(x100385,x100384,x100383,x100382,x100381))))+P106(f326(f326(f328(x100381),x100382),f326(f326(f38(x100383,f928(x100381,a916)),x100384),x100385)))
% 163.42/163.16 [10042]~P54(x100421,f326(x100424,f774(x100425,x100424,x100421,x100423,x100422)),f326(x100425,f774(x100425,x100424,x100421,x100423,x100422)))+P54(x100421,f326(f326(f38(x100422,f928(x100421,a916)),x100423),x100424),f326(f326(f38(x100422,f928(f927(x100421,x100421),a916)),x100423),x100425))
% 163.42/163.16 [10043]~P54(x100431,f326(x100434,f827(x100435,x100434,x100431,x100433,x100432)),f326(x100435,f827(x100435,x100434,x100431,x100433,x100432)))+P54(x100431,f326(f326(f39(x100432,f928(x100431,a916)),x100433),x100434),f326(f326(f39(x100432,f928(f927(x100431,x100431),a916)),x100433),x100435))
% 163.42/163.16 [10044]~P106(f326(f326(f234(f928(x100441,a916)),x100442),f326(x100445,f428(x100445,x100444,x100443,x100442,x100441))))+P106(f326(f326(f234(f928(x100441,a916)),x100442),f326(f326(f38(x100443,f928(x100441,a916)),x100444),x100445)))
% 163.42/163.16 [10045]~P106(f326(f326(f234(f928(x100451,a916)),x100452),f326(x100455,f835(x100455,x100452,x100451,x100454,x100453))))+P106(f326(f326(f234(f928(x100451,a916)),x100452),f326(f326(f38(x100453,f928(x100451,a916)),x100454),x100455)))
% 163.42/163.16 [10110]~P106(f326(f326(f328(x101101),f550(x101105,x101104,x101103,x101102,x101101)),f564(x101105,x101104,x101103,x101102,x101101)))+~P106(f326(f61(x101101,x101102,f326(f326(f308(x101101),x101103),x101104)),x101105))
% 163.42/163.16 [10111]~P106(f326(f326(f328(x101111),f577(x101115,x101114,x101113,x101112,x101111)),f587(x101115,x101114,x101113,x101112,x101111)))+~P106(f326(f61(x101111,x101112,f326(f326(f308(x101111),x101113),x101114)),x101115))
% 163.42/163.16 [10112]~P106(f326(f326(f328(f927(x101121,x101121)),f326(f326(f251(x101121,x101121),x101122),x101125)),f326(f326(f183(f927(x101121,x101121),a916),f326(a112,x101124)),x101123)))+P106(f326(f326(f328(f927(x101121,x101121)),f326(f326(f251(x101121,x101121),x101122),f635(x101123,x101124,x101125,x101122,x101121))),f326(f326(f183(f927(x101121,x101121),a916),x101124),x101123)))
% 163.42/163.16 [10118]P106(f326(f65(x101181,x101181,x101182,f550(x101183,x101184,x101185,x101182,x101181),f564(x101183,x101184,x101185,x101182,x101181)),x101183))+~P106(f326(f61(x101181,x101182,f326(f326(f308(x101181),x101185),x101184)),x101183))
% 163.42/163.16 [10119]P106(f326(f65(x101191,x101191,x101192,f577(x101193,x101194,x101195,x101192,x101191),f587(x101193,x101194,x101195,x101192,x101191)),x101193))+~P106(f326(f61(x101191,x101192,f326(f326(f308(x101191),x101195),x101194)),x101193))
% 163.42/163.16 [10131]~P109(x101311)+P14(x101311,f326(f326(f154(x101312,x101311),x101313),f326(f136(x101312,f326(f326(f9(x101312,x101311,a916),f326(f326(f10(x101311,f928(x101311,a916),x101312),a323),x101313)),f326(x101314,x101315))),x101315)))
% 163.42/163.16 [10181]~P106(f326(f326(f328(x101812),x101815),f326(f284(x101811,x101812,x101814),x101813)))+P106(f326(f326(f328(f927(x101811,x101812)),f326(f326(f251(x101811,x101812),f401(x101813,x101814,x101811,x101815,x101812)),x101815)),x101814))
% 163.42/163.16 [10182]~P106(f326(f326(f328(x101822),x101825),f326(f284(x101821,x101822,x101824),x101823)))+P106(f326(f326(f328(f927(x101821,x101822)),f326(f326(f251(x101821,x101822),f481(x101823,x101824,x101821,x101825,x101822)),x101825)),x101824))
% 163.42/163.16 [10202]~P106(f326(f326(f328(f927(x102021,x102021)),f326(f326(f251(x102021,x102021),x102025),x102024)),f326(f326(f183(f927(x102021,x102021),a916),f326(a112,x102023)),x102022)))+P106(f326(f326(f328(f927(x102021,x102021)),f326(f326(f251(x102021,x102021),f635(x102022,x102023,x102024,x102025,x102021)),x102024)),x102022))
% 163.42/163.16 [10205]~P106(f326(f326(f328(f927(x102051,x102051)),f326(f326(f251(x102051,x102051),x102055),x102054)),f326(f326(f183(f927(x102051,x102051),a916),f326(a112,x102053)),x102052)))+P106(f326(f326(f328(f927(x102051,x102051)),f326(f326(f251(x102051,x102051),f633(x102052,x102053,x102054,x102055,x102051)),x102054)),f326(f326(f183(f927(x102051,x102051),a916),x102053),x102052)))
% 163.42/163.16 [10206]~P106(f326(f326(f328(f927(x102061,x102061)),f326(f326(f251(x102061,x102061),x102065),x102064)),f326(f326(f183(f927(x102061,x102061),a916),f326(a112,x102063)),x102062)))+P106(f326(f326(f328(f927(x102061,x102061)),f326(f326(f251(x102061,x102061),f634(x102062,x102063,x102064,x102065,x102061)),x102064)),f326(f326(f183(f927(x102061,x102061),a916),x102063),x102062)))
% 163.42/163.16 [10207]~P106(f326(f326(f328(f927(f921(x102071),f921(x102071))),f326(f326(f251(f921(x102071),f921(x102071)),x102075),f326(f326(f151(x102071),x102074),x102073))),f158(x102071,x102072)))+P106(f326(f326(f328(f927(x102071,x102071)),f326(f326(f251(x102071,x102071),f653(x102072,x102073,x102074,x102075,x102071)),x102074)),x102072))
% 163.42/163.16 [7788]~E(x77883,f189(f928(x77882,a916)))+E(f326(f326(f110(f928(x77881,a916)),f326(f326(f39(x77882,f928(x77881,a916)),x77883),x77884)),x77885),x77885)
% 163.42/163.16 [7789]~E(x77893,f189(f928(x77892,a916)))+E(f326(f326(f101(f928(x77891,a916)),f326(f326(f38(x77892,f928(x77891,a916)),x77893),x77894)),x77895),x77895)
% 163.42/163.16 [8214]~E(x82143,f189(f928(x82142,a916)))+E(f326(f326(f3(f928(x82141,a916)),f326(f326(f38(x82142,f928(x82141,a916)),x82143),x82144)),x82145),f326(f326(f3(f928(x82141,a916)),f241(f928(x82141,a916))),x82145))
% 163.42/163.16 [8346]E(f326(f326(f159(x83461,f326(f326(f134(x83461),x83462),x83463)),x83464),x83465),f326(f326(f134(x83461),f326(f326(f159(x83461,x83462),x83464),x83465)),x83463))+~P106(f326(f326(f235(a920),x83464),f326(f190(f921(x83461)),x83462)))
% 163.42/163.16 [8614]E(f326(f326(f164(x86141),f326(f326(f154(a920,x86141),x86142),f139(a920,f326(f301(a920,x86143),x86144)))),x86145),f326(x86142,f326(f326(f79(a920),x86143),x86145)))+~P106(f326(f326(f235(a920),x86145),f326(f326(f3(a920),x86144),x86143)))
% 163.42/163.16 [8628]E(x86281,f2(a99))+E(f122(x86282,x86283,f326(x86284,f326(f326(f3(a99),x86281),f77(a99))),f326(f326(f9(x86282,a99,f922(f924(x86283))),x86285),x86281)),f326(f197(x86282,x86283,x86284,x86285),x86281))
% 163.42/163.16 [8652]~E(x86523,f189(f928(x86521,a916)))+E(f326(f326(f38(x86521,f928(x86522,a916)),x86523),f326(f326(f10(f928(x86522,a916),f928(x86522,a916),x86521),f326(f3(f928(x86522,a916)),x86524)),x86525)),f241(f928(x86522,a916)))
% 163.42/163.16 [8653]~E(x86533,f189(f928(x86531,a916)))+E(f326(f326(f38(x86531,f928(x86532,a916)),x86533),f326(f326(f10(f928(x86532,a916),f928(x86532,a916),x86531),f326(f101(f928(x86532,a916)),x86534)),x86535)),f241(f928(x86532,a916)))
% 163.42/163.16 [8654]~E(x86543,f189(f928(x86541,a916)))+E(f326(f326(f39(x86541,f928(x86542,a916)),x86543),f326(f326(f10(f928(x86542,a916),f928(x86542,a916),x86541),f326(f110(f928(x86542,a916)),x86544)),x86545)),f189(f928(x86542,a916)))
% 163.42/163.16 [8656]~P147(x86562)+E(f326(f326(f8(x86561,x86562),f326(f326(f10(x86562,x86562,x86561),f326(f80(x86562),x86563)),x86564)),x86565),f326(f326(f80(x86562),x86563),f326(f326(f8(x86561,x86562),x86564),x86565)))
% 163.42/163.16 [8950]E(x89501,f189(f928(x89502,a916)))+E(f326(f326(f38(x89502,f928(x89503,a916)),x89501),f326(f326(f10(f928(x89503,a916),f928(x89503,a916),x89502),f326(f3(f928(x89503,a916)),x89504)),x89505)),f326(f326(f3(f928(x89503,a916)),x89504),f326(f326(f39(x89502,f928(x89503,a916)),x89501),x89505)))
% 163.42/163.16 [8951]E(x89511,f189(f928(x89512,a916)))+E(f326(f326(f38(x89512,f928(x89513,a916)),x89511),f326(f326(f10(f928(x89513,a916),f928(x89513,a916),x89512),f326(f101(f928(x89513,a916)),x89514)),x89515)),f326(f326(f101(f928(x89513,a916)),x89514),f326(f326(f38(x89512,f928(x89513,a916)),x89511),x89515)))
% 163.42/163.16 [8952]E(x89521,f189(f928(x89522,a916)))+E(f326(f326(f39(x89522,f928(x89523,a916)),x89521),f326(f326(f10(f928(x89523,a916),f928(x89523,a916),x89522),f326(f110(f928(x89523,a916)),x89524)),x89525)),f326(f326(f110(f928(x89523,a916)),x89524),f326(f326(f39(x89522,f928(x89523,a916)),x89521),x89525)))
% 163.42/163.16 [9151]~P106(f326(f326(f235(a920),f326(x91514,x91512)),f326(x91514,x91513)))+P106(f326(f326(f328(f927(x91511,x91511)),f326(f326(f251(x91511,x91511),x91512),x91513)),f153(x91511,f326(f326(f151(f928(x91511,a920)),x91514),x91515))))
% 163.42/163.16 [9415]~P26(x94152,x94151,x94153,f326(f326(f110(f928(x94152,a916)),x94154),x94155))+E(f326(f326(f101(f928(x94151,a916)),f326(f309(x94152,x94151,x94153),f326(f326(f3(f928(x94152,a916)),x94154),x94155))),f326(f309(x94152,x94151,x94153),f326(f326(f3(f928(x94152,a916)),x94155),x94154))),f189(f928(x94151,a916)))
% 163.42/163.16 [9674]~P26(x96743,x96741,x96745,f241(f928(x96743,a916)))+E(f326(f72(x96741,x96742,x96743,f326(f72(x96743,x96742,x96741,x96744),f91(x96743,x96741,f241(f928(x96743,a916)),x96745))),x96745),x96744)
% 163.42/163.16 [9709]~P106(f326(f326(f234(f928(x97093,a916)),f326(f284(x97091,x97093,x97094),x97092)),x97095))+P106(f326(f326(f234(f928(x97091,a916)),x97092),f326(f78(f928(x97091,a916)),f326(f284(x97093,x97091,f326(f285(x97091,x97093),x97094)),f326(f78(f928(x97093,a916)),x97095)))))
% 163.42/163.16 [9734]~P26(x97341,x97342,x97343,f326(f326(f308(x97341),x97344),x97345))+~P106(f326(f326(f328(x97342),f326(x97343,x97344)),f326(f309(x97341,x97342,x97343),f326(f326(f3(f928(x97341,a916)),x97345),f326(f326(f308(x97341),x97344),f189(f928(x97341,a916)))))))
% 163.42/163.16 [9787]P106(f326(f326(f234(f928(x97871,a916)),f326(f284(x97872,x97871,x97873),x97874)),x97875))+~P106(f326(f326(f234(f928(x97872,a916)),x97874),f326(f78(f928(x97872,a916)),f326(f284(x97871,x97872,f326(f285(x97872,x97871),x97873)),f326(f78(f928(x97871,a916)),x97875)))))
% 163.42/163.16 [9860]~P87(x98601)+P106(f326(f326(f234(x98601),f326(f75(x98601),f326(f326(f3(x98601),f326(f326(f79(x98601),x98602),x98603)),f326(f326(f79(x98601),x98604),x98605)))),f326(f326(f79(x98601),f326(f75(x98601),f326(f326(f3(x98601),x98602),x98604))),f326(f75(x98601),f326(f326(f3(x98601),x98603),x98605)))))
% 163.42/163.16 [9968]P106(f326(f326(f328(x99681),f429(x99682,x99683,x99684,x99681,x99685)),x99684))+P106(f326(f326(f234(f928(x99685,a916)),f326(f326(f39(x99681,f928(x99685,a916)),x99684),x99683)),x99682))
% 163.42/163.16 [10149]~P106(f326(f326(f234(f928(x101491,a916)),f326(x101494,f429(x101495,x101494,x101493,x101492,x101491))),x101495))+P106(f326(f326(f234(f928(x101491,a916)),f326(f326(f39(x101492,f928(x101491,a916)),x101493),x101494)),x101495))
% 163.42/163.16 [8761]E(f326(f326(f134(x87611),x87612),f326(f326(f159(x87611,x87613),f326(f326(f3(a920),x87614),f326(f190(f921(x87611)),x87612))),x87615)),f326(f326(f159(x87611,f326(f326(f134(x87611),x87612),x87613)),x87614),x87615))+P106(f326(f326(f235(a920),x87614),f326(f190(f921(x87611)),x87612)))
% 163.42/163.16 [8789]~P141(x87891)+E(f326(f326(f79(x87891),f326(f326(f80(x87891),x87892),x87893)),f326(f326(f79(x87891),f326(f326(f80(x87891),x87894),x87893)),x87895)),f326(f326(f79(x87891),f326(f326(f80(x87891),f326(f326(f79(x87891),x87892),x87894)),x87893)),x87895))
% 163.42/163.16 [9369]~P147(x93691)+E(f326(f165(x93691),f326(f326(f154(x93692,x93691),f326(f326(f10(x93691,x93691,x93692),f326(f80(x93691),x93693)),x93694)),x93695)),f326(f326(f80(x93691),x93693),f326(f165(x93691),f326(f326(f154(x93692,x93691),x93694),x93695))))
% 163.42/163.16 [9544]E(f326(f190(f921(x95441)),f326(f326(f175(x95441),f326(f326(f188(a920),f326(f190(f921(x95441)),x95442)),f326(f190(f921(x95443)),x95444))),x95442)),f326(f190(f921(x95443)),f326(f326(f175(x95443),f326(f326(f188(a920),f326(f190(f921(x95441)),x95442)),f326(f190(f921(x95443)),x95444))),x95444)))+P106(f326(x95445,f326(f326(f181(x95441,x95443),x95442),x95444)))
% 163.42/163.16 [9797]~P147(x97972)+E(f326(f326(f8(x97971,x97972),f326(f326(f9(x97971,x97972,x97972),f326(f326(f10(x97972,f928(x97972,x97972),x97971),f80(x97972)),x97973)),x97974)),x97975),f326(f326(f80(x97972),f326(f326(f8(x97971,x97972),x97973),x97975)),x97974))
% 163.42/163.16 [9798]~P66(x97982)+E(f326(f326(f8(x97981,x97982),f326(f326(f9(x97981,x97982,x97982),f326(f326(f10(x97982,f928(x97982,x97982),x97981),f290(x97982)),x97983)),x97984)),x97985),f326(f326(f290(x97982),f326(f326(f8(x97981,x97982),x97983),x97985)),x97984))
% 163.42/163.16 [9805]~P69(x98052)+E(f326(f326(f8(x98051,x98052),f326(f326(f20(x98051,x98052,x98052),f326(f326(f10(x98052,f928(x98052,x98052),x98051),f3(x98052)),x98053)),x98054)),x98055),f326(f326(f3(x98052),f326(f326(f8(x98051,x98052),x98053),x98055)),f326(f326(f8(x98051,x98052),x98054),x98055)))
% 163.42/163.16 [9806]~P72(x98062)+E(f326(f326(f8(x98061,x98062),f326(f326(f20(x98061,x98062,x98062),f326(f326(f10(x98062,f928(x98062,x98062),x98061),f79(x98062)),x98063)),x98064)),x98065),f326(f326(f79(x98062),f326(f326(f8(x98061,x98062),x98063),x98065)),f326(f326(f8(x98061,x98062),x98064),x98065)))
% 163.42/163.16 [9807]~P77(x98072)+E(f326(f326(f11(x98071,x98072),f326(f326(f20(x98071,x98072,x98072),f326(f326(f10(x98072,f928(x98072,x98072),x98071),f80(x98072)),x98073)),x98074)),x98075),f326(f326(f80(x98072),f326(f326(f11(x98071,x98072),x98073),x98075)),f326(f326(f11(x98071,x98072),x98074),x98075)))
% 163.42/163.16 [9845]~E(x98453,f189(f928(x98451,a916)))+E(f326(f326(f38(x98451,f928(x98452,a916)),x98453),f326(f326(f9(x98451,f928(x98452,a916),f928(x98452,a916)),f326(f326(f10(f928(x98452,a916),f928(f928(x98452,a916),f928(x98452,a916)),x98451),f3(f928(x98452,a916))),x98454)),x98455)),f241(f928(x98452,a916)))
% 163.42/163.16 [9846]~E(x98463,f189(f928(x98461,a916)))+E(f326(f326(f38(x98461,f928(x98462,a916)),x98463),f326(f326(f9(x98461,f928(x98462,a916),f928(x98462,a916)),f326(f326(f10(f928(x98462,a916),f928(f928(x98462,a916),f928(x98462,a916)),x98461),f101(f928(x98462,a916))),x98464)),x98465)),f241(f928(x98462,a916)))
% 163.42/163.16 [9847]~E(x98473,f189(f928(x98471,a916)))+E(f326(f326(f39(x98471,f928(x98472,a916)),x98473),f326(f326(f9(x98471,f928(x98472,a916),f928(x98472,a916)),f326(f326(f10(f928(x98472,a916),f928(f928(x98472,a916),f928(x98472,a916)),x98471),f110(f928(x98472,a916))),x98474)),x98475)),f189(f928(x98472,a916)))
% 163.42/163.16 [9868]E(x98681,f189(f928(x98682,a916)))+E(f326(f326(f38(x98682,f928(x98683,a916)),x98681),f326(f326(f9(x98682,f928(x98683,a916),f928(x98683,a916)),f326(f326(f10(f928(x98683,a916),f928(f928(x98683,a916),f928(x98683,a916)),x98682),f3(f928(x98683,a916))),x98684)),x98685)),f326(f326(f3(f928(x98683,a916)),f326(f326(f38(x98682,f928(x98683,a916)),x98681),x98684)),x98685))
% 163.42/163.16 [9869]E(x98691,f189(f928(x98692,a916)))+E(f326(f326(f38(x98692,f928(x98693,a916)),x98691),f326(f326(f9(x98692,f928(x98693,a916),f928(x98693,a916)),f326(f326(f10(f928(x98693,a916),f928(f928(x98693,a916),f928(x98693,a916)),x98692),f101(f928(x98693,a916))),x98694)),x98695)),f326(f326(f101(f928(x98693,a916)),f326(f326(f38(x98692,f928(x98693,a916)),x98691),x98694)),x98695))
% 163.42/163.16 [9870]E(x98701,f189(f928(x98702,a916)))+E(f326(f326(f39(x98702,f928(x98703,a916)),x98701),f326(f326(f9(x98702,f928(x98703,a916),f928(x98703,a916)),f326(f326(f10(f928(x98703,a916),f928(f928(x98703,a916),f928(x98703,a916)),x98702),f110(f928(x98703,a916))),x98704)),x98705)),f326(f326(f110(f928(x98703,a916)),f326(f326(f39(x98702,f928(x98703,a916)),x98701),x98704)),x98705))
% 163.42/163.16 [9420]~P106(f326(f326(f234(a920),x94201),x94204))+E(f326(f326(f3(a920),f326(f326(f79(a920),f326(f326(f80(a920),x94201),x94202)),x94203)),f326(f326(f79(a920),f326(f326(f80(a920),x94204),x94202)),x94205)),f326(f326(f3(a920),x94203),f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f3(a920),x94204),x94201)),x94202)),x94205)))
% 163.42/163.16 [10017]~P147(x100171)+E(f326(f165(x100171),f326(f326(f154(x100172,x100171),f326(f326(f9(x100172,x100171,x100171),f326(f326(f10(x100171,f928(x100171,x100171),x100172),f80(x100171)),x100173)),x100174)),x100175)),f326(f326(f80(x100171),f326(f165(x100171),f326(f326(f154(x100172,x100171),x100173),x100175))),x100174))
% 163.42/163.16 [10023]~P69(x100231)+E(f326(f165(x100231),f326(f326(f154(x100232,x100231),f326(f326(f20(x100232,x100231,x100231),f326(f326(f10(x100231,f928(x100231,x100231),x100232),f3(x100231)),x100233)),x100234)),x100235)),f326(f326(f3(x100231),f326(f165(x100231),f326(f326(f154(x100232,x100231),x100233),x100235))),f326(f165(x100231),f326(f326(f154(x100232,x100231),x100234),x100235))))
% 163.42/163.16 [10024]~P72(x100241)+E(f326(f165(x100241),f326(f326(f154(x100242,x100241),f326(f326(f20(x100242,x100241,x100241),f326(f326(f10(x100241,f928(x100241,x100241),x100242),f79(x100241)),x100243)),x100244)),x100245)),f326(f326(f79(x100241),f326(f165(x100241),f326(f326(f154(x100242,x100241),x100243),x100245))),f326(f165(x100241),f326(f326(f154(x100242,x100241),x100244),x100245))))
% 163.42/163.16 [10173]P106(f326(x101731,f326(f326(f181(x101732,x101733),x101734),x101735)))+~P106(f326(x101731,f326(f326(f181(x101732,x101733),f326(f326(f175(x101732),f326(f326(f188(a920),f326(f190(f921(x101732)),x101734)),f326(f190(f921(x101733)),x101735))),x101734)),f326(f326(f175(x101733),f326(f326(f188(a920),f326(f190(f921(x101732)),x101734)),f326(f190(f921(x101733)),x101735))),x101735))))
% 163.42/163.16 [10437]~P106(f326(f326(f328(f927(x104372,x104371)),f326(f326(f251(x104372,x104371),x104374),x104375)),f326(f285(x104371,x104372),x104373)))+P106(f326(f326(f242(x104371,x104372,f326(f326(f9(x104371,f928(f927(x104371,x104372),a916),f928(x104372,a916)),f326(f326(f10(f928(x104372,f928(f928(f927(x104371,x104372),a916),a916)),f928(f928(f927(x104371,x104372),a916),f928(x104372,a916)),x104371),f9(x104372,f928(f927(x104371,x104372),a916),a916)),f326(f326(f10(f928(x104372,f927(x104371,x104372)),f928(x104372,f928(f928(f927(x104371,x104372),a916),a916)),x104371),f326(f10(f927(x104371,x104372),f928(f928(f927(x104371,x104372),a916),a916),x104372),f328(f927(x104371,x104372)))),f251(x104371,x104372)))),x104373)),x104374),x104375))
% 163.42/163.16 [10447]P106(f326(f326(f328(f927(x104471,x104472)),f326(f326(f251(x104471,x104472),x104473),x104474)),f326(f285(x104472,x104471),x104475)))+~P106(f326(f326(f242(x104472,x104471,f326(f326(f9(x104472,f928(f927(x104472,x104471),a916),f928(x104471,a916)),f326(f326(f10(f928(x104471,f928(f928(f927(x104472,x104471),a916),a916)),f928(f928(f927(x104472,x104471),a916),f928(x104471,a916)),x104472),f9(x104471,f928(f927(x104472,x104471),a916),a916)),f326(f326(f10(f928(x104471,f927(x104472,x104471)),f928(x104471,f928(f928(f927(x104472,x104471),a916),a916)),x104472),f326(f10(f927(x104472,x104471),f928(f928(f927(x104472,x104471),a916),a916),x104471),f328(f927(x104472,x104471)))),f251(x104472,x104471)))),x104475)),x104473),x104474))
% 163.42/163.16 [9673]~P106(f326(f326(f234(a920),x96734),x96731))+E(f326(f326(f3(a920),f326(f326(f79(a920),f326(f326(f80(a920),x96731),x96732)),x96733)),f326(f326(f79(a920),f326(f326(f80(a920),x96734),x96732)),x96735)),f326(f326(f3(a920),f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f3(a920),x96731),x96734)),x96732)),x96733)),x96735))
% 163.42/163.16 [5455]E(x54551,x54552)+~E(f27(x54553,x54554,x54551),f27(x54555,x54556,x54552))
% 163.42/163.16 [5456]E(x54561,x54562)+~E(f27(x54563,x54561,x54564),f27(x54565,x54562,x54566))
% 163.42/163.16 [5457]E(x54571,x54572)+~E(f27(x54571,x54573,x54574),f27(x54572,x54575,x54576))
% 163.42/163.16 [5458]E(x54581,x54582)+~E(f26(x54583,x54584,x54581),f26(x54585,x54586,x54582))
% 163.42/163.16 [5459]E(x54591,x54592)+~E(f26(x54593,x54591,x54594),f26(x54595,x54592,x54596))
% 163.42/163.16 [5460]E(x54601,x54602)+~E(f26(x54601,x54603,x54604),f26(x54602,x54605,x54606))
% 163.42/163.16 [7485]E(x74851,x74852)+~E(f221(x74853,x74854,x74855,x74851),f221(x74853,x74854,x74856,x74852))
% 163.42/163.16 [7486]E(x74861,x74862)+~E(f221(x74863,x74864,x74861,x74865),f221(x74863,x74864,x74862,x74866))
% 163.42/163.16 [8599]~P20(x85995,x85991,x85992,x85996)+E(f326(f72(x85991,x85991,x85991,f326(x85992,x85993)),f326(x85992,x85994)),f326(f72(x85991,x85991,x85991,f326(x85992,x85994)),f326(x85992,x85993)))
% 163.42/163.16 [8835]~P58(x88354,x88355,x88352,x88351,x88356)+E(f326(x88351,f326(x88352,x88353)),x88353)
% 163.42/163.16 [9003]P26(x90031,x90032,x90033,x90034)+~P26(x90031,x90035,f326(f72(x90032,x90035,x90031,x90036),x90033),x90034)
% 163.42/163.16 [9076]~E(x90766,x90764)+E(f326(f74(x90761,x90762,x90763,x90764,x90765),x90766),x90765)
% 163.42/163.16 [9082]E(x90821,x90822)+E(f326(f74(x90823,x90824,x90825,x90822,x90826),x90821),f326(x90825,x90821))
% 163.42/163.16 [9094]~P26(x90944,x90942,f326(f72(x90941,x90942,x90944,x90943),x90945),x90946)+P26(x90941,x90942,x90943,f326(f309(x90944,x90941,x90945),x90946))
% 163.42/163.16 [9808]P106(f326(f60(x98081),x98082))+~P106(f326(f65(x98081,x98083,x98084,x98085,x98082),x98086))
% 163.42/163.16 [9817]~P106(f326(f326(f328(x98174),x98173),f299(x98174,x98175,x98171,x98172,x98176)))+P106(f326(f326(x98171,x98172),x98173))
% 163.42/163.16 [9818]~P106(f326(f326(f328(x98184),x98183),f296(x98184,x98181,x98185,x98182,x98186)))+P106(f326(f326(x98181,x98182),x98183))
% 163.42/163.16 [9819]~P106(f326(f326(f328(x98194),x98192),f299(x98194,x98191,x98195,x98196,x98193)))+P106(f326(f326(x98191,x98192),x98193))
% 163.42/163.16 [9820]~P106(f326(f326(f328(x98204),x98202),f296(x98204,x98205,x98201,x98206,x98203)))+P106(f326(f326(x98201,x98202),x98203))
% 163.42/163.16 [10326]P13(x103261,x103262,x103263,x103264,x103265,x103266)+~E(f326(f326(x103266,f844(x103263,x103266,x103265,x103262,x103264,x103261)),f852(x103263,x103266,x103265,x103262,x103264,x103261)),f326(f326(x103266,f845(x103263,x103266,x103265,x103262,x103264,x103261)),f853(x103263,x103266,x103265,x103262,x103264,x103261)))
% 163.42/163.16 [5969]E(x59691,x59692)+~E(f326(f326(f251(x59693,x59694),x59695),x59691),f326(f326(f251(x59693,x59694),x59696),x59692))
% 163.42/163.16 [5971]E(x59711,x59712)+~E(f326(f326(f251(x59713,x59714),x59711),x59715),f326(f326(f251(x59713,x59714),x59712),x59716))
% 163.42/163.16 [6107]~P17(x61075,x61076,x61071)+E(f326(f326(x61071,x61072),f326(f326(x61071,x61073),x61074)),f326(f326(x61071,x61073),f326(f326(x61071,x61072),x61074)))
% 163.42/163.16 [7549]~P34(x75494,x75491,f326(f326(f151(x75494),x75492),x75495),f326(f326(f151(x75494),x75493),x75496))+P106(f326(f326(x75491,x75492),x75493))
% 163.42/163.16 [7905]P34(x79051,x79052,x79053,x79054)+~P34(x79051,x79052,f326(f326(f151(x79051),x79055),x79053),f326(f326(f151(x79051),x79056),x79054))
% 163.42/163.16 [8940]~P58(x89405,x89401,x89402,x89406,x89404)+P106(f326(f326(f328(x89401),f326(x89402,x89403)),x89404))
% 163.42/163.16 [9142]~E(x91423,f326(f326(f151(x91421),x91425),x91426))+P106(f326(f326(f328(f927(f921(x91421),f921(x91421))),f326(f326(f251(f921(x91421),f921(x91421)),x91422),f326(f326(f134(x91421),x91422),x91423))),f147(x91421,x91424)))
% 163.42/163.16 [9375]~P36(x93751,x93752,x93753,x93755,x93756)+P36(x93751,x93752,x93753,f326(f326(f175(x93751),x93754),x93755),f326(f326(f175(x93752),x93754),x93756))
% 163.42/163.16 [9376]~P36(x93761,x93762,x93763,x93765,x93766)+P36(x93761,x93762,x93763,f326(f326(f138(x93761),x93764),x93765),f326(f326(f138(x93762),x93764),x93766))
% 163.42/163.16 [9637]E(f326(f309(x96371,x96372,f74(x96371,x96372,x96373,x96374,x96375)),x96376),f326(f309(x96371,x96372,x96373),x96376))+P106(f326(f326(f328(x96371),x96374),x96376))
% 163.42/163.16 [9640]E(f326(f326(f154(x96401,x96402),f74(x96401,x96402,x96403,x96404,x96405)),x96406),f326(f326(f154(x96401,x96402),x96403),x96406))+P106(f326(f326(f328(x96401),x96404),f326(f172(x96401),x96406)))
% 163.42/163.16 [9880]~P24(x98804,x98802,x98805,x98803,x98806,x98801)+E(f326(x98801,f189(f928(x98802,a916))),x98803)
% 163.42/163.16 [10113]~E(f326(x101134,f326(f250(x101131,x101133),x101135)),f326(x101136,f326(f250(x101131,x101133),x101135)))+E(f326(f257(x101131,x101132,x101133,x101133,x101134,f31(x101133)),x101135),f326(f257(x101131,x101132,x101133,x101133,x101136,f31(x101133)),x101135))
% 163.42/163.16 [10114]~E(f326(x101144,f326(f255(x101141,x101142),x101145)),f326(x101146,f326(f255(x101141,x101142),x101145)))+E(f326(f257(x101141,x101141,x101142,x101143,f31(x101141),x101144),x101145),f326(f257(x101141,x101141,x101142,x101143,f31(x101141),x101146),x101145))
% 163.42/163.16 [10169]~E(f326(f257(x101692,x101696,x101693,x101693,x101691,f31(x101693)),x101694),f326(f257(x101692,x101696,x101693,x101693,x101695,f31(x101693)),x101694))+E(f326(x101691,f326(f250(x101692,x101693),x101694)),f326(x101695,f326(f250(x101692,x101693),x101694)))
% 163.42/163.16 [10170]~E(f326(f257(x101702,x101702,x101703,x101706,f31(x101702),x101701),x101704),f326(f257(x101702,x101702,x101703,x101706,f31(x101702),x101705),x101704))+E(f326(x101701,f326(f255(x101702,x101703),x101704)),f326(x101705,f326(f255(x101702,x101703),x101704)))
% 163.42/163.16 [9043]P106(f326(f326(f328(x90431),x90432),x90433))+~P106(f326(f326(f328(f927(x90431,x90434)),f326(f326(f251(x90431,x90434),x90432),x90435)),f326(f326(f253(x90431,x90434),x90433),x90436)))
% 163.42/163.16 [9059]P106(f326(f326(f328(x90591),x90592),f326(x90593,x90594)))+~P106(f326(f326(f328(f927(x90595,x90591)),f326(f326(f251(x90595,x90591),x90594),x90592)),f326(f326(f253(x90595,x90591),x90596),x90593)))
% 163.42/163.16 [9494]P106(f326(f326(f328(f927(x94941,x94941)),f326(f326(f251(x94941,x94941),f326(x94942,x94943)),f326(x94942,x94944))),x94945))+~P106(f326(f326(f328(f927(x94946,x94946)),f326(f326(f251(x94946,x94946),x94943),x94944)),f326(f326(f287(x94941,x94946),x94945),x94942)))
% 163.42/163.16 [9514]~P106(f326(f326(f328(f927(x95144,x95144)),f326(f326(f251(x95144,x95144),f326(x95146,x95142)),f326(x95146,x95143))),x95145))+P106(f326(f326(f328(f927(x95141,x95141)),f326(f326(f251(x95141,x95141),x95142),x95143)),f326(f326(f287(x95144,x95141),x95145),x95146)))
% 163.42/163.16 [10172]E(f326(f326(f251(x101721,x101722),f646(x101723,x101724,x101725,x101726,x101722,x101721)),f647(x101723,x101724,x101725,x101726,x101722,x101721)),x101726)+~P106(f326(f326(f328(f927(x101721,x101722)),x101726),f326(f326(f288(x101721,x101725,x101722),x101724),x101723)))
% 163.42/163.16 [10391]~P106(f326(f326(f328(f927(x103911,x103916)),x103915),f326(f326(f288(x103911,x103912,x103916),x103914),x103913)))+P106(f326(f326(f328(f927(x103911,x103912)),f326(f326(f251(x103911,x103912),f646(x103913,x103914,x103912,x103915,x103916,x103911)),f648(x103913,x103914,x103912,x103915,x103916,x103911))),x103914))
% 163.42/163.16 [10392]~P106(f326(f326(f328(f927(x103926,x103922)),x103925),f326(f326(f288(x103926,x103921,x103922),x103924),x103923)))+P106(f326(f326(f328(f927(x103921,x103922)),f326(f326(f251(x103921,x103922),f648(x103923,x103924,x103921,x103925,x103922,x103926)),f647(x103923,x103924,x103921,x103925,x103922,x103926))),x103923))
% 163.42/163.16 [10393]P13(x103931,x103932,x103933,x103934,x103935,x103936)+P106(f326(f326(f328(f927(x103932,x103932)),f326(f326(f251(x103932,x103932),f853(x103933,x103936,x103935,x103932,x103934,x103931)),f852(x103933,x103936,x103935,x103932,x103934,x103931))),x103935))
% 163.42/163.16 [10394]P13(x103941,x103942,x103943,x103944,x103945,x103946)+P106(f326(f326(f328(f927(x103941,x103941)),f326(f326(f251(x103941,x103941),f845(x103943,x103946,x103945,x103942,x103944,x103941)),f844(x103943,x103946,x103945,x103942,x103944,x103941))),x103944))
% 163.42/163.16 [7975]~P6(x79752)+E(f326(f326(f38(x79751,x79752),x79753),f326(f326(f9(x79751,x79754,x79752),x79755),x79756)),f326(f326(f326(f38(x79751,f928(x79754,x79752)),x79753),x79755),x79756))
% 163.42/163.16 [7976]~P6(x79762)+E(f326(f326(f39(x79761,x79762),x79763),f326(f326(f9(x79761,x79764,x79762),x79765),x79766)),f326(f326(f326(f39(x79761,f928(x79764,x79762)),x79763),x79765),x79766))
% 163.42/163.16 [8744]E(f326(f326(f39(x87441,f928(x87442,a916)),x87443),f326(f326(f10(f928(x87442,a916),f928(x87442,a916),x87441),f326(f308(x87442),x87444)),x87445)),f326(f326(f308(x87442),x87444),f326(f326(f39(x87441,f928(x87442,a916)),x87443),x87445)))+~P106(f326(f326(f328(x87441),x87446),x87443))
% 163.42/163.16 [9195]~P6(x91952)+E(f326(f326(f38(x91951,x91952),x91953),f326(f326(f10(f928(x91954,x91952),x91952,x91951),f326(f38(x91954,x91952),x91955)),f326(f9(x91954,x91951,x91952),x91956))),f326(f326(f38(x91954,x91952),x91955),f326(f326(f10(f928(x91951,x91952),x91952,x91954),f326(f38(x91951,x91952),x91953)),x91956)))
% 163.42/163.16 [9196]~P6(x91962)+E(f326(f326(f39(x91961,x91962),x91963),f326(f326(f10(f928(x91964,x91962),x91962,x91961),f326(f39(x91964,x91962),x91965)),f326(f9(x91964,x91961,x91962),x91966))),f326(f326(f39(x91964,x91962),x91965),f326(f326(f10(f928(x91961,x91962),x91962,x91964),f326(f39(x91961,x91962),x91963)),x91966)))
% 163.42/163.16 [9400]P106(f326(f326(f328(x94001),x94002),f326(f172(x94001),x94003)))+~P106(f326(f326(f328(f927(x94004,x94001)),f326(f326(f251(x94004,x94001),x94005),x94002)),f326(f172(f927(x94004,x94001)),f326(f326(f181(x94004,x94001),x94006),x94003))))
% 163.42/163.16 [9401]P106(f326(f326(f328(x94011),x94012),f326(f172(x94011),x94013)))+~P106(f326(f326(f328(f927(x94011,x94014)),f326(f326(f251(x94011,x94014),x94012),x94015)),f326(f172(f927(x94011,x94014)),f326(f326(f181(x94011,x94014),x94013),x94016))))
% 163.42/163.16 [9510]P106(f326(f326(f234(f928(x95101,a916)),f326(f284(x95102,x95101,x95103),x95104)),x95105))+~P106(f326(f326(f234(f928(f927(x95102,x95101),a916)),x95103),f326(f326(f253(x95102,x95101),x95106),f326(f18(f928(x95101,a916),x95102),x95105))))
% 163.42/163.16 [9515]~P27(x95154,x95152,x95155,f241(f928(x95154,a916)),f241(f928(x95152,a916)))+E(f326(f326(f38(x95151,f928(x95152,a916)),x95153),f326(f326(f10(f928(x95154,a916),f928(x95152,a916),x95151),f309(x95154,x95152,x95155)),x95156)),f326(f309(x95154,x95152,x95155),f326(f326(f38(x95151,f928(x95154,a916)),x95153),x95156)))
% 163.42/163.16 [9712]P106(f326(f326(f328(f927(f921(x97121),f921(x97121))),f326(f326(f251(f921(x97121),f921(x97121)),f326(f326(f151(x97121),x97122),x97123)),f326(f326(f151(x97121),x97124),x97125))),f147(x97121,x97126)))+~P106(f326(f326(f328(f927(x97121,x97121)),f326(f326(f251(x97121,x97121),x97122),x97124)),x97126))
% 163.42/163.16 [10168]E(f326(f326(f251(x101681,x101682),f591(x101683,x101684,x101685,x101682,x101681,x101686)),f592(x101683,x101684,x101685,x101682,x101681,x101686)),x101686)+P106(f326(f326(f328(x101685),x101684),f326(f326(f256(x101681,x101682,f928(x101685,a916)),x101683),x101686)))
% 163.42/163.16 [10174]E(f326(f326(f251(x101741,x101742),f593(x101743,x101744,x101742,x101741,x101745,x101746)),f594(x101743,x101744,x101742,x101741,x101745,x101746)),x101743)+~P106(f326(f326(f328(x101746),x101745),f326(f326(f256(x101741,x101742,f928(x101746,a916)),x101744),x101743)))
% 163.42/163.16 [10339]P106(f326(f326(f328(x103391),x103392),f326(f326(x103393,f593(x103394,x103393,x103395,x103396,x103392,x103391)),f594(x103394,x103393,x103395,x103396,x103392,x103391))))+~P106(f326(f326(f328(x103391),x103392),f326(f326(f256(x103396,x103395,f928(x103391,a916)),x103393),x103394)))
% 163.42/163.16 [10364]~P106(f326(f326(f328(x103641),x103642),f326(f326(x103645,f591(x103645,x103642,x103641,x103644,x103643,x103646)),f592(x103645,x103642,x103641,x103644,x103643,x103646))))+P106(f326(f326(f328(x103641),x103642),f326(f326(f256(x103643,x103644,f928(x103641,a916)),x103645),x103646)))
% 163.42/163.16 [8644]E(x86441,x86442)+E(f326(f326(f159(x86443,f326(f326(f159(x86443,x86444),x86441),x86445)),x86442),x86446),f326(f326(f159(x86443,f326(f326(f159(x86443,x86444),x86442),x86446)),x86441),x86445))
% 163.42/163.16 [9772]~P106(f326(f326(f328(x97723),x97726),x97725))+E(f326(f326(f308(x97721),x97722),f326(f309(x97723,x97721,x97724),f326(f326(f3(f928(x97723,a916)),x97725),f326(f326(f308(x97723),x97726),f189(f928(x97723,a916)))))),f326(f309(x97723,x97721,f74(x97723,x97721,x97724,x97726,x97722)),x97725))
% 163.42/163.16 [9274]~P106(f326(f326(x92744,x92745),x92746))+P106(f326(f326(f326(f326(f110(f928(x92741,f928(x92742,a916))),x92743),x92744),x92745),x92746))
% 163.42/163.16 [9276]~P106(f326(f326(x92763,x92765),x92766))+P106(f326(f326(f326(f326(f110(f928(x92761,f928(x92762,a916))),x92763),x92764),x92765),x92766))
% 163.42/163.16 [9565]P106(f326(f326(x95651,x95652),x95653))+~P106(f326(f326(f326(f326(f101(f928(x95654,f928(x95655,a916))),x95656),x95651),x95652),x95653))
% 163.42/163.16 [9566]P106(f326(f326(x95661,x95662),x95663))+~P106(f326(f326(f326(f326(f101(f928(x95664,f928(x95665,a916))),x95661),x95666),x95662),x95663))
% 163.42/163.16 [10005]~P72(x100052)+E(f326(f326(f8(x100051,x100052),f326(f326(f9(x100051,f928(x100053,a916),x100052),f326(f326(f10(f928(x100053,x100052),f928(f928(x100053,a916),x100052),x100051),f8(x100053,x100052)),x100054)),x100055)),x100056),f326(f326(f8(f927(x100051,x100053),x100052),f326(f256(x100051,x100053,x100052),x100054)),f326(f326(f253(x100051,x100053),x100056),f326(f18(f928(x100053,a916),x100051),x100055))))
% 163.42/163.16 [10006]~P77(x100062)+E(f326(f326(f11(x100061,x100062),f326(f326(f9(x100061,f928(x100063,a916),x100062),f326(f326(f10(f928(x100063,x100062),f928(f928(x100063,a916),x100062),x100061),f11(x100063,x100062)),x100064)),x100065)),x100066),f326(f326(f11(f927(x100061,x100063),x100062),f326(f256(x100061,x100063,x100062),x100064)),f326(f326(f253(x100061,x100063),x100066),f326(f18(f928(x100063,a916),x100061),x100065))))
% 163.42/163.16 [10140]~P72(x101402)+E(f326(f326(f8(x101401,x101402),f326(f326(f9(x101401,f928(x101403,a916),x101402),f326(f326(f10(f928(x101403,x101402),f928(f928(x101403,a916),x101402),x101401),f8(x101403,x101402)),f326(f9(x101403,x101401,x101402),x101404))),x101405)),x101406),f326(f326(f8(x101403,x101402),f326(f326(f9(x101403,f928(x101401,a916),x101402),f326(f326(f10(f928(x101401,x101402),f928(f928(x101401,a916),x101402),x101403),f8(x101401,x101402)),x101404)),x101406)),x101405))
% 163.42/163.16 [10459]~P106(f326(f326(f328(f927(x104591,x104592)),f326(f326(f251(x104591,x104592),x104595),x104596)),f326(f326(f110(f928(f927(x104591,x104592),a916)),x104593),x104594)))+P106(f326(f326(f326(f326(f110(f928(x104591,f928(x104592,a916))),f326(f326(f9(x104591,f928(f927(x104591,x104592),a916),f928(x104592,a916)),f326(f326(f10(f928(x104592,f928(f928(f927(x104591,x104592),a916),a916)),f928(f928(f927(x104591,x104592),a916),f928(x104592,a916)),x104591),f9(x104592,f928(f927(x104591,x104592),a916),a916)),f326(f326(f10(f928(x104592,f927(x104591,x104592)),f928(x104592,f928(f928(f927(x104591,x104592),a916),a916)),x104591),f326(f10(f927(x104591,x104592),f928(f928(f927(x104591,x104592),a916),a916),x104592),f328(f927(x104591,x104592)))),f251(x104591,x104592)))),x104593)),f326(f326(f9(x104591,f928(f927(x104591,x104592),a916),f928(x104592,a916)),f326(f326(f10(f928(x104592,f928(f928(f927(x104591,x104592),a916),a916)),f928(f928(f927(x104591,x104592),a916),f928(x104592,a916)),x104591),f9(x104592,f928(f927(x104591,x104592),a916),a916)),f326(f326(f10(f928(x104592,f927(x104591,x104592)),f928(x104592,f928(f928(f927(x104591,x104592),a916),a916)),x104591),f326(f10(f927(x104591,x104592),f928(f928(f927(x104591,x104592),a916),a916),x104592),f328(f927(x104591,x104592)))),f251(x104591,x104592)))),x104594)),x104595),x104596))
% 163.42/163.16 [10460]~P106(f326(f326(f328(f927(x104601,x104602)),f326(f326(f251(x104601,x104602),x104605),x104606)),f326(f326(f101(f928(f927(x104601,x104602),a916)),x104603),x104604)))+P106(f326(f326(f326(f326(f101(f928(x104601,f928(x104602,a916))),f326(f326(f9(x104601,f928(f927(x104601,x104602),a916),f928(x104602,a916)),f326(f326(f10(f928(x104602,f928(f928(f927(x104601,x104602),a916),a916)),f928(f928(f927(x104601,x104602),a916),f928(x104602,a916)),x104601),f9(x104602,f928(f927(x104601,x104602),a916),a916)),f326(f326(f10(f928(x104602,f927(x104601,x104602)),f928(x104602,f928(f928(f927(x104601,x104602),a916),a916)),x104601),f326(f10(f927(x104601,x104602),f928(f928(f927(x104601,x104602),a916),a916),x104602),f328(f927(x104601,x104602)))),f251(x104601,x104602)))),x104603)),f326(f326(f9(x104601,f928(f927(x104601,x104602),a916),f928(x104602,a916)),f326(f326(f10(f928(x104602,f928(f928(f927(x104601,x104602),a916),a916)),f928(f928(f927(x104601,x104602),a916),f928(x104602,a916)),x104601),f9(x104602,f928(f927(x104601,x104602),a916),a916)),f326(f326(f10(f928(x104602,f927(x104601,x104602)),f928(x104602,f928(f928(f927(x104601,x104602),a916),a916)),x104601),f326(f10(f927(x104601,x104602),f928(f928(f927(x104601,x104602),a916),a916),x104602),f328(f927(x104601,x104602)))),f251(x104601,x104602)))),x104604)),x104605),x104606))
% 163.42/163.16 [10469]P106(f326(f326(f328(f927(x104691,x104692)),f326(f326(f251(x104691,x104692),x104693),x104694)),f326(f326(f110(f928(f927(x104691,x104692),a916)),x104695),x104696)))+~P106(f326(f326(f326(f326(f110(f928(x104691,f928(x104692,a916))),f326(f326(f9(x104691,f928(f927(x104691,x104692),a916),f928(x104692,a916)),f326(f326(f10(f928(x104692,f928(f928(f927(x104691,x104692),a916),a916)),f928(f928(f927(x104691,x104692),a916),f928(x104692,a916)),x104691),f9(x104692,f928(f927(x104691,x104692),a916),a916)),f326(f326(f10(f928(x104692,f927(x104691,x104692)),f928(x104692,f928(f928(f927(x104691,x104692),a916),a916)),x104691),f326(f10(f927(x104691,x104692),f928(f928(f927(x104691,x104692),a916),a916),x104692),f328(f927(x104691,x104692)))),f251(x104691,x104692)))),x104695)),f326(f326(f9(x104691,f928(f927(x104691,x104692),a916),f928(x104692,a916)),f326(f326(f10(f928(x104692,f928(f928(f927(x104691,x104692),a916),a916)),f928(f928(f927(x104691,x104692),a916),f928(x104692,a916)),x104691),f9(x104692,f928(f927(x104691,x104692),a916),a916)),f326(f326(f10(f928(x104692,f927(x104691,x104692)),f928(x104692,f928(f928(f927(x104691,x104692),a916),a916)),x104691),f326(f10(f927(x104691,x104692),f928(f928(f927(x104691,x104692),a916),a916),x104692),f328(f927(x104691,x104692)))),f251(x104691,x104692)))),x104696)),x104693),x104694))
% 163.42/163.16 [10470]P106(f326(f326(f328(f927(x104701,x104702)),f326(f326(f251(x104701,x104702),x104703),x104704)),f326(f326(f101(f928(f927(x104701,x104702),a916)),x104705),x104706)))+~P106(f326(f326(f326(f326(f101(f928(x104701,f928(x104702,a916))),f326(f326(f9(x104701,f928(f927(x104701,x104702),a916),f928(x104702,a916)),f326(f326(f10(f928(x104702,f928(f928(f927(x104701,x104702),a916),a916)),f928(f928(f927(x104701,x104702),a916),f928(x104702,a916)),x104701),f9(x104702,f928(f927(x104701,x104702),a916),a916)),f326(f326(f10(f928(x104702,f927(x104701,x104702)),f928(x104702,f928(f928(f927(x104701,x104702),a916),a916)),x104701),f326(f10(f927(x104701,x104702),f928(f928(f927(x104701,x104702),a916),a916),x104702),f328(f927(x104701,x104702)))),f251(x104701,x104702)))),x104705)),f326(f326(f9(x104701,f928(f927(x104701,x104702),a916),f928(x104702,a916)),f326(f326(f10(f928(x104702,f928(f928(f927(x104701,x104702),a916),a916)),f928(f928(f927(x104701,x104702),a916),f928(x104702,a916)),x104701),f9(x104702,f928(f927(x104701,x104702),a916),a916)),f326(f326(f10(f928(x104702,f927(x104701,x104702)),f928(x104702,f928(f928(f927(x104701,x104702),a916),a916)),x104701),f326(f10(f927(x104701,x104702),f928(f928(f927(x104701,x104702),a916),a916),x104702),f328(f927(x104701,x104702)))),f251(x104701,x104702)))),x104706)),x104703),x104704))
% 163.42/163.16 [10453]~P106(f326(f326(f328(f927(x104532,x104533)),f326(f326(f251(x104532,x104533),x104535),x104536)),f326(f326(f38(x104531,f928(f927(x104532,x104533),a916)),f241(f928(x104531,a916))),x104534)))+P106(f326(f326(f326(f326(f38(x104531,f928(x104532,f928(x104533,a916))),f241(f928(x104531,a916))),f326(f326(f10(f928(f927(x104532,x104533),a916),f928(x104532,f928(x104533,a916)),x104531),f326(f9(x104532,f928(f927(x104532,x104533),a916),f928(x104533,a916)),f326(f326(f10(f928(x104533,f928(f928(f927(x104532,x104533),a916),a916)),f928(f928(f927(x104532,x104533),a916),f928(x104533,a916)),x104532),f9(x104533,f928(f927(x104532,x104533),a916),a916)),f326(f326(f10(f928(x104533,f927(x104532,x104533)),f928(x104533,f928(f928(f927(x104532,x104533),a916),a916)),x104532),f326(f10(f927(x104532,x104533),f928(f928(f927(x104532,x104533),a916),a916),x104533),f328(f927(x104532,x104533)))),f251(x104532,x104533))))),x104534)),x104535),x104536))
% 163.42/163.16 [10454]~P106(f326(f326(f328(f927(x104542,x104543)),f326(f326(f251(x104542,x104543),x104545),x104546)),f326(f326(f39(x104541,f928(f927(x104542,x104543),a916)),f241(f928(x104541,a916))),x104544)))+P106(f326(f326(f326(f326(f39(x104541,f928(x104542,f928(x104543,a916))),f241(f928(x104541,a916))),f326(f326(f10(f928(f927(x104542,x104543),a916),f928(x104542,f928(x104543,a916)),x104541),f326(f9(x104542,f928(f927(x104542,x104543),a916),f928(x104543,a916)),f326(f326(f10(f928(x104543,f928(f928(f927(x104542,x104543),a916),a916)),f928(f928(f927(x104542,x104543),a916),f928(x104543,a916)),x104542),f9(x104543,f928(f927(x104542,x104543),a916),a916)),f326(f326(f10(f928(x104543,f927(x104542,x104543)),f928(x104543,f928(f928(f927(x104542,x104543),a916),a916)),x104542),f326(f10(f927(x104542,x104543),f928(f928(f927(x104542,x104543),a916),a916),x104543),f328(f927(x104542,x104543)))),f251(x104542,x104543))))),x104544)),x104545),x104546))
% 163.42/163.16 [10463]P106(f326(f326(f328(f927(x104631,x104632)),f326(f326(f251(x104631,x104632),x104633),x104634)),f326(f326(f38(x104635,f928(f927(x104631,x104632),a916)),f241(f928(x104635,a916))),x104636)))+~P106(f326(f326(f326(f326(f38(x104635,f928(x104631,f928(x104632,a916))),f241(f928(x104635,a916))),f326(f326(f10(f928(f927(x104631,x104632),a916),f928(x104631,f928(x104632,a916)),x104635),f326(f9(x104631,f928(f927(x104631,x104632),a916),f928(x104632,a916)),f326(f326(f10(f928(x104632,f928(f928(f927(x104631,x104632),a916),a916)),f928(f928(f927(x104631,x104632),a916),f928(x104632,a916)),x104631),f9(x104632,f928(f927(x104631,x104632),a916),a916)),f326(f326(f10(f928(x104632,f927(x104631,x104632)),f928(x104632,f928(f928(f927(x104631,x104632),a916),a916)),x104631),f326(f10(f927(x104631,x104632),f928(f928(f927(x104631,x104632),a916),a916),x104632),f328(f927(x104631,x104632)))),f251(x104631,x104632))))),x104636)),x104633),x104634))
% 163.42/163.16 [10464]P106(f326(f326(f328(f927(x104641,x104642)),f326(f326(f251(x104641,x104642),x104643),x104644)),f326(f326(f39(x104645,f928(f927(x104641,x104642),a916)),f241(f928(x104645,a916))),x104646)))+~P106(f326(f326(f326(f326(f39(x104645,f928(x104641,f928(x104642,a916))),f241(f928(x104645,a916))),f326(f326(f10(f928(f927(x104641,x104642),a916),f928(x104641,f928(x104642,a916)),x104645),f326(f9(x104641,f928(f927(x104641,x104642),a916),f928(x104642,a916)),f326(f326(f10(f928(x104642,f928(f928(f927(x104641,x104642),a916),a916)),f928(f928(f927(x104641,x104642),a916),f928(x104642,a916)),x104641),f9(x104642,f928(f927(x104641,x104642),a916),a916)),f326(f326(f10(f928(x104642,f927(x104641,x104642)),f928(x104642,f928(f928(f927(x104641,x104642),a916),a916)),x104641),f326(f10(f927(x104641,x104642),f928(f928(f927(x104641,x104642),a916),a916),x104642),f328(f927(x104641,x104642)))),f251(x104641,x104642))))),x104646)),x104643),x104644))
% 163.42/163.16 [7654]E(f326(x76541,f326(x76542,x76543)),f326(x76544,x76543))+~E(f326(f72(x76545,x76546,x76547,x76541),x76542),x76544)
% 163.42/163.16 [9788]E(x97881,x97882)+E(f74(x97883,x97884,f74(x97883,x97884,x97885,x97881,x97886),x97882,x97887),f74(x97883,x97884,f74(x97883,x97884,x97885,x97882,x97887),x97881,x97886))
% 163.42/163.16 [9879]~P23(x98793,x98794,x98791,x98795,x98796,x98797)+E(f326(f326(x98791,x98792),x98792),x98792)
% 163.42/163.16 [6209]~E(f326(f326(f154(x62091,x62095),x62096),x62092),f326(f326(f154(x62093,x62095),x62097),x62094))+E(f326(f190(f921(x62091)),x62092),f326(f190(f921(x62093)),x62094))
% 163.42/163.16 [8675]E(f326(x86751,f326(x86752,x86753)),f326(x86754,x86753))+~E(f326(f72(x86755,x86756,x86757,x86751),x86752),f326(f72(x86756,x86756,x86757,f31(x86756)),x86754))
% 163.42/163.16 [9032]~P36(x90324,x90325,x90321,f326(f326(f151(x90324),x90322),x90326),f326(f326(f151(x90325),x90323),x90327))+P106(f326(f326(x90321,x90322),x90323))
% 163.42/163.16 [9407]P36(x94071,x94072,x94073,x94074,x94075)+~P36(x94071,x94072,x94073,f326(f326(f151(x94071),x94076),x94074),f326(f326(f151(x94072),x94077),x94075))
% 163.42/163.16 [10039]P106(f326(f326(x100391,x100392),f565(x100393,x100392,x100394,x100391)))+~P106(f326(f326(f252(x100395,x100396,x100397,x100391,x100394),x100392),x100393))
% 163.42/163.16 [10063]P106(f326(f326(x100631,f565(x100632,x100633,x100631,x100634)),x100632))+~P106(f326(f326(f252(x100635,x100636,x100637,x100634,x100631),x100633),x100632))
% 163.42/163.16 [6259]E(x62591,x62592)+~E(f326(f326(f326(f90(x62593),x62594),x62595),x62591),f326(f326(f326(f90(x62593),x62596),x62597),x62592))
% 163.42/163.16 [6260]E(x62601,x62602)+~E(f326(f326(f326(f90(x62603),x62604),x62601),x62605),f326(f326(f326(f90(x62603),x62606),x62602),x62607))
% 163.42/163.16 [6261]E(x62611,x62612)+~E(f326(f326(f326(f90(x62613),x62611),x62614),x62615),f326(f326(f326(f90(x62613),x62612),x62616),x62617))
% 163.42/163.16 [9149]~P21(x91496,x91491,x91493,x91497)+E(f326(f72(x91491,x91491,x91492,f326(x91493,x91494)),f326(f72(x91491,x91491,x91492,f326(x91493,x91494)),x91495)),f326(f72(x91491,x91491,x91492,f326(x91493,x91494)),x91495))
% 163.42/163.16 [9518]~P36(x95183,x95182,x95184,f326(f326(f154(x95181,x95183),x95185),x95186),x95187)+P36(x95181,x95182,f326(f326(f10(x95183,f928(x95182,a916),x95181),x95184),x95185),x95186,x95187)
% 163.42/163.16 [9541]P36(x95411,x95412,x95413,f326(f326(f154(x95414,x95411),x95415),x95416),x95417)+~P36(x95414,x95412,f326(f326(f10(x95411,f928(x95412,a916),x95414),x95413),x95415),x95416,x95417)
% 163.42/163.16 [9148]~P106(f326(f326(f328(x91481),x91482),f326(f326(x91485,x91486),x91487)))+P106(f326(f326(f328(x91481),x91482),f326(f326(f256(x91483,x91484,f928(x91481,a916)),x91485),f326(f326(f251(x91483,x91484),x91486),x91487))))
% 163.42/163.16 [9433]P106(f326(f326(f326(x94331,x94332),x94333),x94334))+~P106(f326(f326(f326(f256(x94335,x94336,f928(x94337,a916)),x94331),f326(f326(f251(x94335,x94336),x94332),x94333)),x94334))
% 163.42/163.16 [9580]P106(f326(f326(f328(x95801),f326(f326(x95802,x95803),x95804)),f326(f309(f927(x95805,x95806),x95801,f326(f256(x95805,x95806,x95801),x95802)),x95807)))+~P106(f326(f326(f328(f927(x95805,x95806)),f326(f326(f251(x95805,x95806),x95803),x95804)),x95807))
% 163.42/163.16 [9926]P106(f326(f326(f328(f927(f921(x99261),f921(x99261))),f326(f326(f251(f921(x99261),f921(x99261)),f326(f326(f134(x99261),x99262),f326(f326(f151(x99261),x99263),x99264))),f326(f326(f134(x99261),x99262),f326(f326(f151(x99261),x99265),x99266)))),f147(x99261,x99267)))+~P106(f326(f326(f328(f927(x99261,x99261)),f326(f326(f251(x99261,x99261),x99263),x99265)),x99267))
% 163.42/163.16 [9990]~P36(x99901,x99903,x99904,x99906,f326(f326(f154(x99902,x99903),x99905),x99907))+P36(x99901,x99902,f326(f326(f9(x99901,f928(x99902,x99903),f928(x99902,a916)),f326(f326(f10(f928(x99903,a916),f928(f928(x99902,x99903),f928(x99902,a916)),x99901),f10(x99903,a916,x99902)),x99904)),x99905),x99906,x99907)
% 163.42/163.16 [10067]P36(x100671,x100672,x100673,x100674,f326(f326(f154(x100675,x100672),x100676),x100677))+~P36(x100671,x100675,f326(f326(f9(x100671,f928(x100675,x100672),f928(x100675,a916)),f326(f326(f10(f928(x100672,a916),f928(f928(x100675,x100672),f928(x100675,a916)),x100671),f10(x100672,a916,x100675)),x100673)),x100676),x100674,x100677)
% 163.42/163.16 [10378]P106(f326(f326(f328(x103781),f441(x103782,x103783,x103784,x103785,x103786,x103787,x103781)),x103785))+P106(f326(f326(f326(f326(f38(x103781,f928(x103787,f928(x103786,a916))),x103785),x103784),x103783),x103782))
% 163.42/163.16 [10379]P106(f326(f326(f328(x103791),f786(x103792,x103793,x103794,x103795,x103796,x103797,x103791)),x103797))+P106(f326(f326(f326(f326(f38(x103791,f928(x103793,f928(x103792,a916))),x103797),x103796),x103795),x103794))
% 163.42/163.16 [10380]P106(f326(f326(f328(x103801),f442(x103802,x103803,x103804,x103805,x103806,x103807,x103801)),x103805))+~P106(f326(f326(f326(f326(f39(x103801,f928(x103807,f928(x103806,a916))),x103805),x103804),x103803),x103802))
% 163.42/163.16 [10381]P106(f326(f326(f328(x103811),f787(x103812,x103813,x103814,x103815,x103816,x103817,x103811)),x103815))+~P106(f326(f326(f326(f326(f39(x103811,f928(x103817,f928(x103816,a916))),x103815),x103814),x103813),x103812))
% 163.42/163.16 [10416]P106(f326(f326(f326(x104161,f442(x104162,x104163,x104161,x104164,x104165,x104166,x104167)),x104163),x104162))+~P106(f326(f326(f326(f326(f39(x104167,f928(x104166,f928(x104165,a916))),x104164),x104161),x104163),x104162))
% 163.42/163.16 [10417]P106(f326(f326(f326(x104171,f787(x104172,x104173,x104171,x104174,x104175,x104176,x104177)),x104173),x104172))+~P106(f326(f326(f326(f326(f39(x104177,f928(x104176,f928(x104175,a916))),x104174),x104171),x104173),x104172))
% 163.42/163.16 [10434]~P106(f326(f326(f326(x104345,f441(x104347,x104346,x104345,x104344,x104343,x104342,x104341)),x104346),x104347))+P106(f326(f326(f326(f326(f38(x104341,f928(x104342,f928(x104343,a916))),x104344),x104345),x104346),x104347))
% 163.42/163.16 [10435]~P106(f326(f326(f326(x104355,f786(x104353,x104352,x104357,x104356,x104355,x104354,x104351)),x104356),x104357))+P106(f326(f326(f326(f326(f38(x104351,f928(x104352,f928(x104353,a916))),x104354),x104355),x104356),x104357))
% 163.42/163.16 [10452]~P106(f326(f326(f328(f927(x104521,x104523)),f326(f326(f251(x104521,x104523),x104526),x104527)),f326(f326(f288(x104521,x104522,x104523),x104524),x104525)))+P106(f326(f326(f252(x104521,x104522,x104523,f326(f326(f9(x104521,f928(f927(x104521,x104522),a916),f928(x104522,a916)),f326(f326(f10(f928(x104522,f928(f928(f927(x104521,x104522),a916),a916)),f928(f928(f927(x104521,x104522),a916),f928(x104522,a916)),x104521),f9(x104522,f928(f927(x104521,x104522),a916),a916)),f326(f326(f10(f928(x104522,f927(x104521,x104522)),f928(x104522,f928(f928(f927(x104521,x104522),a916),a916)),x104521),f326(f10(f927(x104521,x104522),f928(f928(f927(x104521,x104522),a916),a916),x104522),f328(f927(x104521,x104522)))),f251(x104521,x104522)))),x104524),f326(f326(f9(x104522,f928(f927(x104522,x104523),a916),f928(x104523,a916)),f326(f326(f10(f928(x104523,f928(f928(f927(x104522,x104523),a916),a916)),f928(f928(f927(x104522,x104523),a916),f928(x104523,a916)),x104522),f9(x104523,f928(f927(x104522,x104523),a916),a916)),f326(f326(f10(f928(x104523,f927(x104522,x104523)),f928(x104523,f928(f928(f927(x104522,x104523),a916),a916)),x104522),f326(f10(f927(x104522,x104523),f928(f928(f927(x104522,x104523),a916),a916),x104523),f328(f927(x104522,x104523)))),f251(x104522,x104523)))),x104525)),x104526),x104527))
% 163.42/163.16 [10462]P106(f326(f326(f328(f927(x104621,x104622)),f326(f326(f251(x104621,x104622),x104623),x104624)),f326(f326(f288(x104621,x104625,x104622),x104626),x104627)))+~P106(f326(f326(f252(x104621,x104625,x104622,f326(f326(f9(x104621,f928(f927(x104621,x104625),a916),f928(x104625,a916)),f326(f326(f10(f928(x104625,f928(f928(f927(x104621,x104625),a916),a916)),f928(f928(f927(x104621,x104625),a916),f928(x104625,a916)),x104621),f9(x104625,f928(f927(x104621,x104625),a916),a916)),f326(f326(f10(f928(x104625,f927(x104621,x104625)),f928(x104625,f928(f928(f927(x104621,x104625),a916),a916)),x104621),f326(f10(f927(x104621,x104625),f928(f928(f927(x104621,x104625),a916),a916),x104625),f328(f927(x104621,x104625)))),f251(x104621,x104625)))),x104626),f326(f326(f9(x104625,f928(f927(x104625,x104622),a916),f928(x104622,a916)),f326(f326(f10(f928(x104622,f928(f928(f927(x104625,x104622),a916),a916)),f928(f928(f927(x104625,x104622),a916),f928(x104622,a916)),x104625),f9(x104622,f928(f927(x104625,x104622),a916),a916)),f326(f326(f10(f928(x104622,f927(x104625,x104622)),f928(x104622,f928(f928(f927(x104625,x104622),a916),a916)),x104625),f326(f10(f927(x104625,x104622),f928(f928(f927(x104625,x104622),a916),a916),x104622),f328(f927(x104625,x104622)))),f251(x104625,x104622)))),x104627)),x104623),x104624))
% 163.42/163.16 [10390]~P147(x103902)+E(f326(f326(f8(x103901,x103902),f326(f326(f9(x103901,f928(x103903,a916),x103902),f326(f326(f10(f928(x103903,x103902),f928(f928(x103903,a916),x103902),x103901),f8(x103903,x103902)),f326(f326(f9(x103901,f928(x103903,x103902),f928(x103903,x103902)),f326(f326(f10(f928(x103902,x103902),f928(f928(x103903,x103902),f928(x103903,x103902)),x103901),f10(x103902,x103902,x103903)),f326(f326(f10(x103902,f928(x103902,x103902),x103901),f80(x103902)),x103904))),x103905))),x103906)),x103907),f326(f326(f80(x103902),f326(f326(f8(x103901,x103902),x103904),x103907)),f326(f326(f8(x103903,x103902),x103905),x103906)))
% 163.42/163.16 [9465]~P20(x94657,x94651,x94653,x94658)+E(f326(f72(x94651,x94651,x94652,f326(x94653,x94654)),f326(f72(x94651,x94651,x94652,f326(x94653,x94655)),x94656)),f326(f72(x94651,x94651,x94652,f326(x94653,x94655)),f326(f72(x94651,x94651,x94652,f326(x94653,x94654)),x94656)))
% 163.42/163.16 [10457]E(f326(f326(f251(x104571,x104572),f326(x104573,f546(x104574,x104575,x104573,x104576,x104577,x104578,x104572,x104571))),f326(x104575,f547(x104574,x104575,x104573,x104576,x104577,x104578,x104572,x104571))),x104578)+~P106(f326(f326(f328(f927(x104571,x104572)),x104578),f326(f309(f927(x104577,x104576),f927(x104571,x104572),f257(x104577,x104571,x104576,x104572,x104573,x104575)),x104574)))
% 163.42/163.16 [10475]~P106(f326(f326(f328(f927(x104758,x104757)),x104756),f326(f309(f927(x104751,x104752),f927(x104758,x104757),f257(x104751,x104758,x104752,x104757,x104755,x104754)),x104753)))+P106(f326(f326(f328(f927(x104751,x104752)),f326(f326(f251(x104751,x104752),f546(x104753,x104754,x104755,x104752,x104751,x104756,x104757,x104758)),f547(x104753,x104754,x104755,x104752,x104751,x104756,x104757,x104758))),x104753))
% 163.42/163.16 [9916]P106(f326(f326(f328(f927(f927(x99161,x99162),f927(x99161,x99162))),f326(f326(f251(f927(x99161,x99162),f927(x99161,x99162)),f326(f326(f251(x99161,x99162),x99163),x99164)),f326(f326(f251(x99161,x99162),x99165),x99166))),f318(x99161,x99162,x99167,x99168)))+~P106(f326(f326(f328(f927(x99161,x99161)),f326(f326(f251(x99161,x99161),x99163),x99165)),x99167))
% 163.42/163.16 [10446]E(f326(f142(x104461,x104462,f326(f9(x104462,x104461,x104461),x104463),f326(x104464,x104465)),x104466),f326(x104464,f326(f142(x104467,x104462,f326(f9(x104462,x104467,x104467),x104468),x104465),x104466)))+P106(f326(f326(f328(x104462),f734(x104465,x104468,x104464,x104463,x104467,x104461,x104466,x104462)),f326(f172(x104462),x104466)))
% 163.42/163.16 [10465]~E(f326(f72(x104651,x104651,x104657,f326(x104653,f734(x104655,x104658,x104654,x104653,x104657,x104651,x104656,x104652))),x104654),f326(f72(x104657,x104651,x104657,x104654),f326(x104658,f734(x104655,x104658,x104654,x104653,x104657,x104651,x104656,x104652))))+E(f326(f142(x104651,x104652,f326(f9(x104652,x104651,x104651),x104653),f326(x104654,x104655)),x104656),f326(x104654,f326(f142(x104657,x104652,f326(f9(x104652,x104657,x104657),x104658),x104655),x104656)))
% 163.42/163.16 [8680]E(f326(x86801,f326(x86802,x86803)),f326(x86804,f326(x86805,x86803)))+~E(f326(f72(x86806,x86807,x86808,x86801),x86802),f326(f72(x86809,x86807,x86808,x86804),x86805))
% 163.42/163.16 [10302]P106(f326(f326(f328(f927(x103021,x103022)),f326(f326(f251(x103021,x103022),f326(x103023,x103024)),f326(x103025,x103026))),f326(f309(f927(x103027,x103028),f927(x103021,x103022),f257(x103027,x103021,x103028,x103022,x103023,x103025)),x103029)))+~P106(f326(f326(f328(f927(x103027,x103028)),f326(f326(f251(x103027,x103028),x103024),x103026)),x103029))
% 163.42/163.16 [8978]~E(f326(x89784,f326(x89785,x89786)),f326(x89789,f326(x897810,x897811)))+E(f326(f326(f72(x89781,x89782,x89783,x89784),x89785),x89786),f326(f326(f72(x89787,x89782,x89788,x89789),x897810),x897811))
% 163.42/163.16 [4774]~P109(x47741)+~P102(x47741)+E(f101(x47741),f188(x47741))
% 163.42/163.16 [4775]~P109(x47751)+~P101(x47751)+E(f110(x47751),f233(x47751))
% 163.42/163.16 [5024]~P120(x50241)+~P94(x50241)+E(f326(f75(x50241),f326(f103(x50241),a97)),f77(x50241))
% 163.42/163.16 [5313]E(x53131,f2(a1))+E(f81(a1,x53131),f326(f78(a1),f77(a1)))+P106(f326(f326(f235(a1),f2(a1)),x53131))
% 163.42/163.16 [5522]E(x55221,f2(a1))+E(f81(a1,x55221),f77(a1))+~P106(f326(f326(f235(a1),f2(a1)),x55221))
% 163.42/163.16 [7553]~P42(x75531)+P106(f326(f60(a1),x75531))+~P106(f326(f60(a920),f326(f309(a1,a920,a104),x75531)))
% 163.42/163.16 [9878]E(x98781,f189(f928(f927(a920,a920),a916)))+~P106(f326(f60(f927(a920,a920)),x98781))+P106(f326(f326(f328(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f251(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),f189(f928(f927(a920,a920),a916))),x98781)),a33))
% 163.42/163.16 [10040]E(x100401,f2(a920))+E(x100401,f326(a112,f2(a920)))+~P106(f326(f326(f235(a920),x100401),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 163.42/163.16 [10334]E(x103341,f2(a99))+E(f326(f326(f79(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a24,f326(f326(f35(a99),x103341),f326(f103(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))),f77(a1)),f326(a24,x103341))+E(f44(a99,x103341,f326(f103(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(a99))
% 163.42/163.16 [10178]E(x101781,f2(a99))+~E(f44(a99,x101781,f326(f103(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(a99))+E(f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a24,f326(f326(f35(a99),x101781),f326(f103(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f326(a24,x101781))
% 163.42/163.16 [4855]~P59(x48551,x48552)+P46(x48551,x48552)+~P47(a916)
% 163.42/163.16 [4784]~P146(x47841)+P29(x47841,x47842)+~E(x47842,f2(x47841))
% 163.42/163.16 [4785]~P109(x47851)+P14(x47851,x47852)+~E(x47852,f113(x47851))
% 163.42/163.16 [4794]~P120(x47941)+~E(x47942,f2(x47941))+E(f81(x47941,x47942),f2(x47941))
% 163.42/163.16 [4795]~P91(x47951)+~E(x47952,f2(x47951))+E(f81(x47951,x47952),f2(x47951))
% 163.42/163.16 [4803]~P146(x48032)+~P29(x48032,x48031)+E(x48031,f2(x48032))
% 163.42/163.16 [4848]~P120(x48482)+~E(f81(x48482,x48481),f2(x48482))+E(x48481,f2(x48482))
% 163.42/163.16 [4862]~P5(x48622)+~P5(x48621)+P5(f928(x48621,x48622))
% 163.42/163.16 [4863]~P5(x48632)+~P5(x48631)+P5(f926(x48631,x48632))
% 163.42/163.16 [4864]~P5(x48642)+~P5(x48641)+P5(f927(x48641,x48642))
% 163.42/163.16 [4865]~P7(x48652)+~P7(x48651)+P7(f195(x48651,x48652))
% 163.42/163.16 [4866]~P64(x48662)+~P64(x48661)+P64(f928(x48661,x48662))
% 163.42/163.16 [4867]~P64(x48672)+~P64(x48671)+P64(f926(x48671,x48672))
% 163.42/163.16 [4868]~P64(x48682)+~P64(x48681)+P64(f927(x48681,x48682))
% 163.42/163.16 [4869]~P104(x48692)+~P104(x48691)+P104(f927(x48691,x48692))
% 163.42/163.16 [4996]~P109(x49961)+~P14(x49961,x49962)+P14(x49961,f152(x49961,x49962))
% 163.42/163.16 [5239]~P7(x52392)+~P7(x52391)+P7(f44(a1,x52391,x52392))
% 163.42/163.16 [4805]~P78(x48051)+~E(x48052,f2(x48051))+E(f326(f78(x48051),x48052),x48052)
% 163.42/163.16 [4820]~P143(x48201)+~E(x48202,f2(a1))+E(f326(f102(x48201),x48202),f2(x48201))
% 163.42/163.16 [4821]~P93(x48211)+~E(x48212,f2(a1))+E(f326(f102(x48211),x48212),f2(x48211))
% 163.42/163.16 [4845]~P76(x48451)+~E(f2(x48451),x48452)+E(f326(f78(x48451),x48452),f2(x48451))
% 163.42/163.16 [4846]~P87(x48461)+~E(x48462,f2(x48461))+E(f326(f75(x48461),x48462),f2(x48461))
% 163.42/163.16 [4847]~P76(x48471)+~E(x48472,f2(x48471))+E(f326(f78(x48471),x48472),f2(x48471))
% 163.42/163.16 [4871]~P78(x48712)+E(x48711,f2(x48712))+~E(f326(f78(x48712),x48711),x48711)
% 163.42/163.16 [4877]E(x48771,f326(a104,x48772))+~E(x48771,f2(a920))+~E(x48772,f326(f100(a1),x48771))
% 163.42/163.16 [4878]E(f326(a104,x48781),x48782)+~E(x48782,f2(a920))+~E(x48781,f326(f100(a1),x48782))
% 163.42/163.16 [4882]~P93(x48822)+E(x48821,f2(a1))+~E(f326(f102(x48822),x48821),f2(x48822))
% 163.42/163.16 [4886]~P87(x48862)+E(x48861,f2(x48862))+~E(f326(f75(x48862),x48861),f2(x48862))
% 163.42/163.16 [4887]~P76(x48872)+E(x48871,f2(x48872))+~E(f326(f78(x48872),x48871),f2(x48872))
% 163.42/163.16 [4888]~P76(x48881)+E(f2(x48881),x48882)+~E(f326(f78(x48881),x48882),f2(x48881))
% 163.42/163.16 [5071]~P109(x50711)+~P14(x50711,x50712)+P14(x50711,f326(f171(x50711),x50712))
% 163.42/163.16 [5098]~P106(x50982)+~P106(x50981)+P106(f326(f326(a324,x50981),x50982))
% 163.42/163.16 [5132]~E(f77(a920),f2(a920))+E(f326(f34(x51321),x51322),f2(a920))+~P106(f326(f60(x51321),x51322))
% 163.42/163.16 [5168]~P116(x51681)+~P147(x51681)+E(f326(f326(f243(x51681),f2(x51681)),f326(a112,x51682)),f2(x51681))
% 163.42/163.16 [5207]~P109(x52071)+P14(x52071,f139(x52071,x52072))+~P106(f326(f60(x52071),x52072))
% 163.42/163.16 [5208]~P109(x52081)+P14(x52081,f726(x52082,x52081))+~P106(f326(f60(x52081),x52082))
% 163.42/163.16 [5231]~P109(x52311)+E(f326(f172(x52311),f139(x52311,x52312)),x52312)+~P106(f326(f60(x52311),x52312))
% 163.42/163.16 [5232]~P109(x52321)+E(f326(f172(x52321),f726(x52322,x52321)),x52322)+~P106(f326(f60(x52321),x52322))
% 163.42/163.16 [5261]P106(x52611)+P106(x52612)+~P106(f326(f326(a325,x52612),x52611))
% 163.42/163.16 [5274]E(x52741,f189(f928(x52742,a916)))+~E(f326(f34(x52742),x52741),f2(a920))+~P106(f326(f60(x52742),x52741))
% 163.42/163.16 [5279]P106(x52791)+~P106(x52792)+~P106(f326(f326(a329,x52792),x52791))
% 163.42/163.16 [5331]~P75(x53311)+E(f326(f75(x53311),x53312),x53312)+P106(f326(f326(f235(x53311),x53312),f2(x53311)))
% 163.42/163.16 [5391]~P64(x53912)+~P106(f326(f55(x53912),x53911))+P106(f326(x53911,f727(x53911,x53912)))
% 163.42/163.16 [5392]~P64(x53922)+~P106(f326(f55(x53922),x53921))+P106(f326(x53921,f735(x53921,x53922)))
% 163.42/163.16 [5433]E(x54331,f113(x54332))+P106(f326(f137(x54332),f114(x54332,x54331)))+~P106(f326(f137(x54332),x54331))
% 163.42/163.16 [5438]~P109(x54381)+~P106(f326(f60(x54381),x54382))+P106(f326(f137(x54381),f139(x54381,x54382)))
% 163.42/163.16 [5439]~P109(x54391)+~P106(f326(f60(x54391),x54392))+P106(f326(f137(x54391),f726(x54392,x54391)))
% 163.42/163.16 [5444]~P143(x54441)+E(f326(f100(x54441),f326(a104,x54442)),f326(f102(x54441),x54442))+P106(f326(f326(f235(a1),x54442),f2(a1)))
% 163.42/163.16 [5471]P8(x54712,x54711)+E(f326(x54711,f443(x54711)),f326(x54711,f482(x54711)))+P106(f326(f326(x54711,f443(x54711)),f482(x54711)))
% 163.42/163.16 [5484]E(f326(f100(a1),f367(x54841,x54842)),x54841)+P106(f326(x54842,f326(a104,x54841)))+~P106(f326(x54842,f2(a920)))
% 163.42/163.16 [5496]~P64(x54961)+~P106(f326(x54962,f740(x54962,x54961)))+P106(f326(f56(x54961),x54962))
% 163.42/163.16 [5497]~P64(x54971)+~P106(f326(x54972,f750(x54972,x54971)))+P106(f326(f56(x54971),x54972))
% 163.42/163.16 [5532]~P120(x55321)+~E(f81(x55321,x55322),f326(f78(x55321),f77(x55321)))+P106(f326(f326(f235(x55321),x55322),f2(x55321)))
% 163.42/163.16 [5607]~E(x56072,f2(a1))+E(f216(x56071,x56072),f326(f326(f251(a1,a1),f2(a1)),f77(a1)))+P106(f326(f326(f235(a1),x56072),f2(a1)))
% 163.42/163.16 [5608]~E(x56081,f2(a1))+E(f216(x56081,x56082),f326(f326(f251(a1,a1),f2(a1)),f77(a1)))+P106(f326(f326(f235(a1),x56082),f2(a1)))
% 163.42/163.16 [5660]E(f326(f100(a1),f367(x56601,x56602)),x56601)+P106(f326(x56602,f326(a104,x56601)))+P106(f326(f326(f235(a1),x56601),f2(a1)))
% 163.42/163.16 [5729]~P120(x57291)+E(f81(x57291,x57292),f326(f78(x57291),f77(x57291)))+~P106(f326(f326(f235(x57291),x57292),f2(x57291)))
% 163.42/163.16 [5730]~P87(x57301)+E(f326(f75(x57301),x57302),f326(f78(x57301),x57302))+~P106(f326(f326(f234(x57301),x57302),f2(x57301)))
% 163.42/163.16 [5731]~P87(x57311)+E(f326(f75(x57311),x57312),f326(f78(x57311),x57312))+~P106(f326(f326(f235(x57311),x57312),f2(x57311)))
% 163.42/163.16 [5732]~P75(x57321)+E(f326(f75(x57321),x57322),f326(f78(x57321),x57322))+~P106(f326(f326(f235(x57321),x57322),f2(x57321)))
% 163.42/163.16 [5832]~P106(f326(x58321,f367(x58322,x58321)))+P106(f326(x58321,f326(a104,x58322)))+~P106(f326(x58321,f2(a920)))
% 163.42/163.16 [5839]E(x58391,f2(a920))+E(f326(a112,f860(x58392,x58391)),x58391)+~P106(f326(f326(f235(a920),x58391),f326(a112,x58392)))
% 163.42/163.16 [5843]P8(x58431,x58432)+~E(f326(x58432,f443(x58432)),f326(x58432,f482(x58432)))+~P106(f326(f326(x58432,f443(x58432)),f482(x58432)))
% 163.42/163.16 [5861]~P109(x58611)+P14(x58611,x58612)+P106(f326(f326(f234(a920),f709(x58612,x58611)),f710(x58612,x58611)))
% 163.42/163.16 [5862]~P109(x58621)+P14(x58621,x58622)+P106(f326(f326(f234(a920),f717(x58622,x58621)),f722(x58622,x58621)))
% 163.42/163.16 [5948]~P87(x59481)+~E(x59482,f2(x59481))+P106(f326(f326(f234(x59481),f326(f75(x59481),x59482)),f2(x59481)))
% 163.42/163.16 [6036]~P106(f326(x60361,f367(x60362,x60361)))+P106(f326(x60361,f326(a104,x60362)))+P106(f326(f326(f235(a1),x60362),f2(a1)))
% 163.42/163.16 [6061]~P106(f326(x60611,f326(a104,x60612)))+P106(f326(x60611,f2(a920)))+~P106(f326(f326(f235(a1),x60612),f2(a1)))
% 163.42/163.16 [6414]~P120(x64141)+~P106(f326(f326(f235(x64141),x64142),f2(x64141)))+P106(f326(f326(f235(x64141),f81(x64141,x64142)),f2(x64141)))
% 163.42/163.16 [6531]~P120(x65311)+P106(f326(f326(f234(x65311),f326(f102(x65311),x65312)),f2(x65311)))+~P106(f326(f326(f234(a1),x65312),f2(a1)))
% 163.42/163.16 [6532]~P120(x65321)+P106(f326(f326(f235(x65321),f326(f102(x65321),x65322)),f2(x65321)))+~P106(f326(f326(f235(a1),x65322),f2(a1)))
% 163.42/163.16 [6541]~P87(x65412)+E(x65411,f2(x65412))+~P106(f326(f326(f234(x65412),f326(f75(x65412),x65411)),f2(x65412)))
% 163.42/163.16 [6617]~P143(x66171)+~P106(f326(f326(f328(x66171),x66172),f109(x66171)))+P106(f326(f326(f328(x66171),f326(f78(x66171),x66172)),f109(x66171)))
% 163.42/163.16 [6649]~P120(x66491)+~P106(f326(f326(f235(x66491),f81(x66491,x66492)),f2(x66491)))+P106(f326(f326(f235(x66491),x66492),f2(x66491)))
% 163.42/163.16 [6823]~P120(x68232)+~P106(f326(f326(f234(x68232),f326(f102(x68232),x68231)),f2(x68232)))+P106(f326(f326(f234(a1),x68231),f2(a1)))
% 163.42/163.16 [6824]~P120(x68242)+~P106(f326(f326(f235(x68242),f326(f102(x68242),x68241)),f2(x68242)))+P106(f326(f326(f235(a1),x68241),f2(a1)))
% 163.42/163.16 [7328]~P78(x73281)+~P106(f326(f326(f234(x73281),x73282),f2(x73281)))+P106(f326(f326(f234(x73281),f326(f326(f79(x73281),x73282),x73282)),f2(x73281)))
% 163.42/163.16 [7330]~P120(x73301)+~P106(f326(f326(f235(x73301),x73302),f2(x73301)))+P106(f326(f326(f235(x73301),f326(f326(f79(x73301),x73302),x73302)),f2(x73301)))
% 163.42/163.16 [7331]~P78(x73311)+~P106(f326(f326(f235(x73311),x73312),f2(x73311)))+P106(f326(f326(f235(x73311),f326(f326(f79(x73311),x73312),x73312)),f2(x73311)))
% 163.42/163.16 [7899]~P78(x78991)+~P106(f326(f326(f234(x78991),f326(f326(f79(x78991),x78992),x78992)),f2(x78991)))+P106(f326(f326(f234(x78991),x78992),f2(x78991)))
% 163.42/163.16 [7900]~P120(x79001)+~P106(f326(f326(f235(x79001),f326(f326(f79(x79001),x79002),x79002)),f2(x79001)))+P106(f326(f326(f235(x79001),x79002),f2(x79001)))
% 163.42/163.16 [7901]~P78(x79011)+~P106(f326(f326(f235(x79011),f326(f326(f79(x79011),x79012),x79012)),f2(x79011)))+P106(f326(f326(f235(x79011),x79012),f2(x79011)))
% 163.42/163.16 [4923]~E(x49232,f77(a920))+~E(x49231,f77(a920))+E(f326(f326(f80(a920),x49231),x49232),f77(a920))
% 163.42/163.16 [4924]~E(x49242,f77(a1))+~E(x49241,f77(a1))+E(f326(f326(f80(a1),x49241),x49242),f77(a1))
% 163.42/163.16 [4925]~E(x49252,f2(a920))+~E(x49251,f2(a920))+E(f326(f326(f79(a920),x49251),x49252),f2(a920))
% 163.42/163.16 [4980]~P124(x49802)+E(x49801,f2(x49802))+E(f326(f326(f290(x49802),x49801),x49801),f77(x49802))
% 163.42/163.16 [4981]~P62(x49812)+E(x49811,f2(x49812))+E(f326(f326(f35(x49812),x49811),x49811),f77(x49812))
% 163.42/163.16 [4982]~P125(x49822)+E(x49821,f2(x49822))+E(f326(f326(f290(x49822),x49821),x49821),f77(x49822))
% 163.42/163.16 [5002]~P144(x50021)+~E(x50022,f77(x50021))+E(f326(f326(f80(x50021),x50022),x50022),f77(x50021))
% 163.42/163.16 [5003]~P78(x50031)+~E(x50032,f2(x50031))+E(f326(f326(f79(x50031),x50032),x50032),f2(x50031))
% 163.42/163.16 [5004]~P125(x50041)+~E(x50042,f2(x50041))+E(f326(f326(f290(x50041),x50042),x50042),f2(x50041))
% 163.42/163.16 [5049]~E(x50492,f2(a920))+~E(x50491,f2(a920))+E(f326(f78(a1),f326(f100(a1),x50491)),f326(f100(a1),x50492))
% 163.42/163.16 [5068]E(x50681,f77(a920))+E(x50682,f2(a920))+~E(f326(f326(f80(a920),x50682),x50681),x50682)
% 163.42/163.16 [5080]E(x50801,f2(a920))+E(x50802,f2(a920))+~E(f326(f326(f80(a920),x50802),x50801),f2(a920))
% 163.42/163.16 [5107]~E(x51072,f2(a920))+~E(x51071,f326(a112,f2(a920)))+E(f326(f326(f79(a920),x51071),x51072),f326(a112,f2(a920)))
% 163.42/163.16 [5108]~E(x51081,f2(a920))+~E(x51082,f326(a112,f2(a920)))+E(f326(f326(f79(a920),x51081),x51082),f326(a112,f2(a920)))
% 163.42/163.16 [5115]E(x51151,f77(a1))+E(x51152,f326(f103(a1),a97))+~E(f326(f326(f80(a1),x51151),x51152),f77(a1))
% 163.42/163.16 [5116]E(x51161,f77(a1))+E(x51162,f326(f103(a1),a97))+~E(f326(f326(f80(a1),x51162),x51161),f77(a1))
% 163.42/163.16 [5117]E(x51171,f77(a1))+E(x51171,f326(f103(a1),a97))+~E(f326(f326(f80(a1),x51172),x51171),f77(a1))
% 163.42/163.16 [5119]E(x51191,f77(a1))+E(x51191,f326(f103(a1),a97))+~E(f326(f326(f80(a1),x51191),x51192),f77(a1))
% 163.42/163.16 [5140]~P78(x51402)+E(x51401,f2(x51402))+~E(f326(f326(f79(x51402),x51401),x51401),f2(x51402))
% 163.42/163.16 [5146]~E(x51461,f326(f103(a1),a97))+~E(x51462,f326(f103(a1),a97))+E(f326(f326(f80(a1),x51461),x51462),f77(a1))
% 163.42/163.16 [5157]E(x51571,f2(a920))+E(x51572,f2(a920))+~E(f326(f326(f79(a920),x51572),x51571),f326(a112,f2(a920)))
% 163.42/163.16 [5167]~P65(x51671)+~P94(x51671)+E(f326(f326(f290(x51671),x51672),f326(f103(x51671),a82)),f2(x51671))
% 163.42/163.16 [5173]~P144(x51731)+~E(x51732,f326(f78(x51731),f77(x51731)))+E(f326(f326(f80(x51731),x51732),x51732),f77(x51731))
% 163.42/163.16 [5178]~P7(x51782)+~P7(x51781)+P7(f326(f326(f80(a1),x51781),x51782))
% 163.42/163.16 [5179]~P7(x51792)+~P7(x51791)+P7(f326(f326(f79(a1),x51791),x51792))
% 163.42/163.16 [5180]~P7(x51802)+~P7(x51801)+P7(f326(f326(f35(a1),x51801),x51802))
% 163.42/163.16 [5182]~E(x51822,f2(a1))+E(x51821,f2(a1))+E(f45(x51821,x51822),f326(f326(f251(a1,a1),f2(a1)),x51821))
% 163.42/163.16 [5205]~E(x52052,f326(a112,f2(a920)))+~E(x52051,f326(a112,f2(a920)))+E(f326(f326(f80(a920),x52051),x52052),f326(a112,f2(a920)))
% 163.42/163.16 [5222]E(x52221,f2(a920))+E(x52222,f326(a112,f2(a920)))+~E(f326(f326(f243(a920),x52222),x52221),f326(a112,f2(a920)))
% 163.42/163.16 [5223]E(x52231,f2(a920))+E(x52231,f326(a112,f2(a920)))+~E(f326(f326(f79(a920),x52232),x52231),f326(a112,f2(a920)))
% 163.42/163.16 [5224]E(x52241,f2(a920))+E(x52241,f326(a112,f2(a920)))+~E(f326(f326(f79(a920),x52241),x52242),f326(a112,f2(a920)))
% 163.42/163.16 [5233]~P65(x52331)+~P94(x52331)+E(f326(f326(f290(x52331),x52332),f326(f103(x52331),a97)),f326(f78(x52331),x52332))
% 163.42/163.16 [5253]E(x52531,f326(a104,x52532))+~E(x52531,f2(a920))+P106(f326(f326(f234(a1),f2(a1)),x52532))
% 163.42/163.16 [5254]E(f326(a104,x52541),x52542)+~E(x52542,f2(a920))+P106(f326(f326(f234(a1),f2(a1)),x52541))
% 163.42/163.16 [5270]E(x52701,f326(a112,f2(a920)))+E(x52702,f326(a112,f2(a920)))+~E(f326(f326(f79(a920),x52701),x52702),f326(a112,f2(a920)))
% 163.42/163.16 [5281]~E(x52811,f326(a104,x52812))+E(x52811,f2(a920))+P106(f326(f326(f234(a1),f2(a1)),x52812))
% 163.42/163.16 [5282]~E(f326(a104,x52822),x52821)+E(x52821,f2(a920))+P106(f326(f326(f234(a1),f2(a1)),x52822))
% 163.42/163.16 [5305]~P2(x53051)+E(f326(f62(x53051,f110(x53051)),x53052),f12(x53051,x53052))+~P106(f326(f60(x53051),x53052))
% 163.42/163.16 [5306]~P2(x53061)+E(f326(f62(x53061,f101(x53061)),x53062),f13(x53061,x53062))+~P106(f326(f60(x53061),x53062))
% 163.42/163.16 [5307]~P109(x53071)+E(f326(f62(x53071,f188(x53071)),x53072),f16(x53071,x53072))+~P106(f326(f60(x53071),x53072))
% 163.42/163.16 [5308]~P109(x53081)+E(f326(f62(x53081,f233(x53081)),x53082),f17(x53081,x53082))+~P106(f326(f60(x53081),x53082))
% 163.42/163.16 [5386]E(x53861,x53862)+~E(f326(f326(f3(a920),x53862),x53861),f2(a920))+~E(f326(f326(f3(a920),x53861),x53862),f2(a920))
% 163.42/163.16 [5404]P7(x54041)+~P42(x54042)+~P106(f326(f326(f328(a1),x54041),x54042))
% 163.42/163.16 [5434]~P120(x54341)+~E(f81(x54341,x54342),f77(x54341))+P106(f326(f326(f235(x54341),f2(x54341)),x54342))
% 163.42/163.16 [5445]~P94(x54451)+E(f326(f100(x54451),f326(f103(a920),x54452)),f326(f103(x54451),x54452))+P106(f326(a194,f326(f103(a1),x54452)))
% 163.42/163.16 [5450]~P46(x54501,x54502)+P47(a916)+P106(f326(f60(f927(x54501,x54501)),x54502))
% 163.42/163.16 [5524]~P109(x55241)+E(f326(f62(x55241,f188(x55241)),x55242),f14(x55241,f188(x55241),x55242))+~P106(f326(f60(x55241),x55242))
% 163.42/163.16 [5525]~P109(x55251)+E(f326(f62(x55251,f233(x55251)),x55252),f15(x55251,f233(x55251),x55252))+~P106(f326(f60(x55251),x55252))
% 163.42/163.16 [5539]E(x55391,x55392)+P106(f326(f326(f235(a920),x55392),x55391))+P106(f326(f326(f235(a920),x55391),x55392))
% 163.42/163.16 [5540]E(x55401,x55402)+P106(f326(f326(f235(a1),x55402),x55401))+P106(f326(f326(f235(a1),x55401),x55402))
% 163.42/163.16 [5594]~P94(x55941)+E(f326(f100(x55941),f326(f103(a920),x55942)),f2(x55941))+~P106(f326(a194,f326(f103(a1),x55942)))
% 163.42/163.16 [5597]~E(x55972,f326(a104,x55971))+E(x55971,f326(f100(a1),x55972))+~P106(f326(f326(f234(a1),f2(a1)),x55971))
% 163.42/163.16 [5598]~E(f326(a104,x55981),x55982)+E(x55981,f326(f100(a1),x55982))+~P106(f326(f326(f234(a1),f2(a1)),x55981))
% 163.42/163.16 [5599]~E(x55991,f326(a104,x55992))+E(f326(f100(a1),x55991),x55992)+~P106(f326(f326(f234(a1),f2(a1)),x55992))
% 163.42/163.16 [5609]E(x56091,f326(a104,x56092))+~E(x56092,f326(f100(a1),x56091))+~P106(f326(f326(f234(a1),f2(a1)),x56092))
% 163.42/163.16 [5610]E(f326(a104,x56101),x56102)+~E(x56101,f326(f100(a1),x56102))+~P106(f326(f326(f234(a1),f2(a1)),x56101))
% 163.42/163.16 [5651]~P87(x56512)+E(x56511,f2(x56512))+P106(f326(f326(f235(x56512),f2(x56512)),f326(f75(x56512),x56511)))
% 163.42/163.16 [5716]~P120(x57161)+E(f81(x57161,x57162),f77(x57161))+~P106(f326(f326(f235(x57161),f2(x57161)),x57162))
% 163.42/163.16 [5722]~P94(x57221)+E(f326(f100(x57221),f326(f103(a920),x57222)),f2(x57221))+P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x57222)))
% 163.42/163.16 [5733]~P87(x57331)+E(f326(f75(x57331),x57332),x57332)+~P106(f326(f326(f234(x57331),f2(x57331)),x57332))
% 163.42/163.16 [5734]~P87(x57341)+E(f326(f75(x57341),x57342),x57342)+~P106(f326(f326(f235(x57341),f2(x57341)),x57342))
% 163.42/163.16 [5743]E(x57431,f2(a920))+~E(f139(a920,f326(f301(a920,x57432),x57431)),f113(a920))+P106(f326(f326(f234(a920),x57431),x57432))
% 163.42/163.16 [5754]~P72(x57541)+E(f326(f326(f8(x57541,x57541),f7(x57541)),f326(f172(x57541),x57542)),f326(f165(x57541),x57542))+~P106(f326(f137(x57541),x57542))
% 163.42/163.16 [5757]~P143(x57571)+E(f326(f100(x57571),f326(a104,x57572)),f326(f102(x57571),x57572))+~P106(f326(f326(f234(a1),f2(a1)),x57572))
% 163.42/163.16 [5784]E(x57841,x57842)+P106(f326(f326(f235(a920),x57841),x57842))+~P106(f326(f326(f234(a920),x57841),x57842))
% 163.42/163.16 [5785]E(x57851,x57852)+P106(f326(f326(f235(a1),x57851),x57852))+~P106(f326(f326(f234(a1),x57851),x57852))
% 163.42/163.16 [5788]E(x57881,f77(a1))+~E(f326(f326(f80(a1),x57882),x57881),f77(a1))+~P106(f326(f326(f235(a1),f2(a1)),x57882))
% 163.42/163.16 [5789]E(x57891,f77(a1))+~E(f326(f326(f80(a1),x57891),x57892),f77(a1))+~P106(f326(f326(f235(a1),f2(a1)),x57891))
% 163.42/163.16 [5829]~P42(x58292)+P106(f326(f326(f234(a1),f2(a1)),x58291))+~P106(f326(f326(f328(a1),x58291),x58292))
% 163.42/163.16 [5848]~P59(x58481,x58482)+P39(x58481,x58482)+~P106(f326(f60(f927(x58481,x58481)),x58482))
% 163.42/163.16 [5850]~P59(x58501,x58502)+P46(x58501,x58502)+~P106(f326(f60(f927(x58501,x58501)),x58502))
% 163.42/163.16 [5892]E(x58921,f189(f928(x58922,a916)))+~P106(f326(f60(x58922),x58921))+P106(f326(f326(f235(a920),f2(a920)),f326(f34(x58922),x58921)))
% 163.42/163.16 [5919]~P106(f326(x59191,x59192))+P106(f326(x59191,f2(a920)))+P106(f326(f326(f235(a920),f906(x59192,x59191)),x59192))
% 163.42/163.16 [5942]E(x59421,f2(a920))+~E(f326(f165(a920),x59422),f2(a920))+~P106(f326(f326(f328(a920),x59421),f326(f172(a920),x59422)))
% 163.42/163.16 [6010]E(x60101,x60102)+~P106(f326(f326(f234(a920),x60102),x60101))+~P106(f326(f326(f234(a920),x60101),x60102))
% 163.42/163.16 [6011]E(x60111,x60112)+~P106(f326(f326(f234(a1),x60112),x60111))+~P106(f326(f326(f234(a1),x60111),x60112))
% 163.42/163.16 [6013]E(f326(f34(x60131),x60132),f2(a920))+~P106(f326(f60(x60131),x60132))+P106(f326(f326(f328(x60131),f907(x60132,x60131)),x60132))
% 163.42/163.16 [6022]E(f49(x60221,x60222),f45(x60221,x60222))+P106(f326(f326(f234(a1),f2(a1)),x60221))+~P106(f326(f326(f235(a1),f2(a1)),x60222))
% 163.42/163.16 [6048]~P106(f326(x60481,f363(x60481)))+P106(f326(x60481,f326(a104,x60482)))+~P106(f326(f326(f234(a1),f2(a1)),x60482))
% 163.42/163.16 [6051]P106(f326(f326(f234(a920),x60511),f413(x60512)))+~P106(f326(f60(a920),x60512))+~P106(f326(f326(f328(a920),x60511),x60512))
% 163.42/163.16 [6052]P106(f326(f326(f235(a920),x60521),f411(x60522)))+~P106(f326(f60(a920),x60522))+~P106(f326(f326(f328(a920),x60521),x60522))
% 163.42/163.16 [6083]E(x60831,x60832)+~P106(f326(f326(f235(a920),x60831),f326(a112,x60832)))+P106(f326(f326(f235(a920),x60831),x60832))
% 163.42/163.16 [6119]E(x61191,f326(a112,x61192))+~P106(f326(f326(f234(a920),x61191),f326(a112,x61192)))+P106(f326(f326(f234(a920),x61191),x61192))
% 163.42/163.16 [6135]P106(f326(x61351,f368(x61351)))+~P106(f326(x61351,f326(a104,x61352)))+~P106(f326(f326(f234(a1),f2(a1)),x61352))
% 163.42/163.16 [6151]~P106(f326(x61511,x61512))+~P106(f326(f326(f234(a1),f2(a1)),x61512))+P106(f326(x61511,f326(f100(a1),f338(x61511))))
% 163.42/163.16 [6162]~P87(x61622)+~E(x61621,f2(x61622))+~P106(f326(f326(f235(x61622),f2(x61622)),f326(f75(x61622),x61621)))
% 163.42/163.16 [6187]~P59(x61871,x61872)+P39(x61871,f326(f285(x61871,x61871),x61872))+~P106(f326(f60(f927(x61871,x61871)),x61872))
% 163.42/163.16 [6196]~P94(x61961)+E(f326(f100(x61961),f326(f103(a920),x61962)),f326(f103(x61961),x61962))+~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x61962)))
% 163.42/163.16 [6199]E(f326(a112,x61991),x61992)+~P106(f326(f326(f235(a920),x61991),x61992))+P106(f326(f326(f235(a920),f326(a112,x61991)),x61992))
% 163.42/163.16 [6215]E(f326(f326(f35(a1),x62151),x62152),f2(a1))+~P106(f326(f326(f234(a1),x62151),f2(a1)))+~P106(f326(f326(f235(a1),x62152),x62151))
% 163.42/163.16 [6227]E(f44(a1,x62271,x62272),x62271)+~P106(f326(f326(f234(a1),x62271),f2(a1)))+~P106(f326(f326(f235(a1),x62272),x62271))
% 163.42/163.16 [6241]E(f46(x62411,x62412),f45(x62411,x62412))+~P106(f326(f326(f234(a1),f2(a1)),x62411))+~P106(f326(f326(f234(a1),f2(a1)),x62412))
% 163.42/163.16 [6251]E(f326(f326(f35(a1),x62511),x62512),f2(a1))+~P106(f326(f326(f234(a1),f2(a1)),x62511))+~P106(f326(f326(f235(a1),x62511),x62512))
% 163.42/163.16 [6265]E(f44(a920,f326(f103(a920),x62651),f326(f103(a920),x62652)),f326(f103(a920),x62651))+P106(f326(a194,f326(f103(a1),x62651)))+~P106(f326(a194,f326(f103(a1),x62652)))
% 163.42/163.16 [6267]E(f44(a1,x62671,x62672),x62671)+~P106(f326(f326(f234(a1),f2(a1)),x62671))+~P106(f326(f326(f235(a1),x62671),x62672))
% 163.42/163.16 [6268]E(x62681,x62682)+~P106(f326(f326(f235(a920),x62681),f326(a112,x62682)))+~P106(f326(f326(f234(a920),x62682),x62681))
% 163.42/163.16 [6282]~P78(x62821)+~P106(f326(f326(f234(x62821),x62822),f2(x62821)))+P106(f326(f326(f234(x62821),x62822),f326(f78(x62821),x62822)))
% 163.42/163.16 [6283]~P120(x62831)+~P106(f326(f326(f235(x62831),x62832),f2(x62831)))+P106(f326(f326(f235(x62831),x62832),f326(f78(x62831),x62832)))
% 163.42/163.16 [6293]~P6(x62931)+E(f326(f326(f63(x62931,x62931,f110(x62931)),f189(x62931)),x62932),f36(x62931,x62932))+~P106(f326(f60(x62931),x62932))
% 163.42/163.16 [6294]~P6(x62941)+E(f326(f326(f63(x62941,x62941,f101(x62941)),f241(x62941)),x62942),f37(x62941,x62942))+~P106(f326(f60(x62941),x62942))
% 163.42/163.16 [6311]~P120(x63111)+~P106(f326(f326(f234(a1),f2(a1)),x63112))+P106(f326(f326(f234(x63111),f2(x63111)),f326(f102(x63111),x63112)))
% 163.42/163.16 [6312]~P127(x63121)+~P106(f326(f326(f235(a920),f2(a920)),x63122))+P106(f326(f326(f235(x63121),f2(x63121)),f326(f100(x63121),x63122)))
% 163.42/163.16 [6313]~P120(x63131)+~P106(f326(f326(f235(a1),f2(a1)),x63132))+P106(f326(f326(f235(x63131),f2(x63131)),f326(f102(x63131),x63132)))
% 163.42/163.16 [6316]~P7(x63162)+~P7(x63161)+E(f326(f309(a920,a1,f100(a1)),f302(a920,f326(a104,x63161),f326(a104,x63162))),f302(a1,x63161,x63162))
% 163.42/163.16 [6322]P106(f326(x63221,x63222))+~P106(f326(f326(f234(a1),f2(a1)),x63222))+~P106(f326(x63221,f326(f100(a1),f351(x63221))))
% 163.42/163.16 [6352]E(f326(f326(f79(a920),f326(f103(a920),x63521)),f326(f103(a920),x63522)),f326(f103(a920),x63521))+P106(f326(f326(f235(a1),x63521),a82))+~P106(f326(f326(f235(a1),x63522),a82))
% 163.42/163.16 [6356]~P120(x63561)+P106(f326(f326(f235(x63561),f2(x63561)),f81(x63561,x63562)))+~P106(f326(f326(f235(x63561),f2(x63561)),x63562))
% 163.42/163.16 [6370]~P80(x63701)+~P106(f326(f326(f234(x63701),x63702),f2(x63701)))+P106(f326(f326(f234(x63701),f2(x63701)),f326(f78(x63701),x63702)))
% 163.42/163.16 [6371]~P80(x63711)+~P106(f326(f326(f235(x63711),x63712),f2(x63711)))+P106(f326(f326(f235(x63711),f2(x63711)),f326(f78(x63711),x63712)))
% 163.42/163.16 [6374]E(x63741,f241(f928(x63742,a916)))+~E(f326(f34(x63742),x63741),f326(f34(x63742),f241(f928(x63742,a916))))+~P106(f326(f60(x63742),f241(f928(x63742,a916))))
% 163.42/163.16 [6406]~P78(x64061)+P106(f326(f326(f234(x64061),x64062),f2(x64061)))+~P106(f326(f326(f234(x64061),x64062),f326(f78(x64061),x64062)))
% 163.42/163.16 [6407]~P120(x64071)+P106(f326(f326(f235(x64071),x64072),f2(x64071)))+~P106(f326(f326(f235(x64071),x64072),f326(f78(x64071),x64072)))
% 163.42/163.16 [6416]~P94(x64161)+P106(f326(f326(f328(x64161),f326(f103(x64161),x64162)),f186(x64161)))+~P106(f326(f326(f234(a1),a82),x64162))
% 163.42/163.16 [6445]E(x64451,f2(a920))+~P106(f326(f326(f235(a920),x64451),f326(a112,x64452)))+P106(f326(f326(f235(a920),f860(x64452,x64451)),x64452))
% 163.42/163.16 [6468]~P120(x64681)+~P106(f326(f326(f235(x64681),f2(x64681)),f81(x64681,x64682)))+P106(f326(f326(f235(x64681),f2(x64681)),x64682))
% 163.42/163.16 [6470]~E(f326(f103(a920),x64702),f326(f103(a920),x64701))+P106(f326(f326(f234(a1),f326(f103(a1),x64701)),f2(a1)))+~P106(f326(a194,f326(f103(a1),x64702)))
% 163.42/163.16 [6499]E(f326(f250(a1,a1),f49(x64991,x64992)),f326(f326(f35(a1),x64991),x64992))+~P106(f326(f326(f235(a1),x64991),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x64992))
% 163.42/163.16 [6539]E(f326(f255(a1,a1),f49(x65391,x65392)),f44(a1,x65391,x65392))+~P106(f326(f326(f235(a1),x65391),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x65392))
% 163.42/163.16 [6542]~P120(x65422)+~P106(f326(f326(f234(x65422),f2(x65422)),f326(f102(x65422),x65421)))+P106(f326(f326(f234(a1),f2(a1)),x65421))
% 163.42/163.16 [6543]~P127(x65432)+~P106(f326(f326(f235(x65432),f2(x65432)),f326(f100(x65432),x65431)))+P106(f326(f326(f235(a920),f2(a920)),x65431))
% 163.42/163.16 [6544]~P120(x65442)+~P106(f326(f326(f235(x65442),f2(x65442)),f326(f102(x65442),x65441)))+P106(f326(f326(f235(a1),f2(a1)),x65441))
% 163.42/163.16 [6548]E(f326(f250(a1,a1),f46(x65481,x65482)),f326(f326(f35(a1),x65481),x65482))+~P106(f326(f326(f234(a1),f2(a1)),x65482))+~P106(f326(f326(f235(a1),f2(a1)),x65481))
% 163.42/163.16 [6562]E(f326(f255(a1,a1),f46(x65621,x65622)),f44(a1,x65621,x65622))+~P106(f326(f326(f234(a1),f2(a1)),x65622))+~P106(f326(f326(f235(a1),f2(a1)),x65621))
% 163.42/163.16 [6578]~P80(x65781)+P106(f326(f326(f234(x65781),x65782),f2(x65781)))+~P106(f326(f326(f234(x65781),f2(x65781)),f326(f78(x65781),x65782)))
% 163.42/163.16 [6579]~P80(x65791)+P106(f326(f326(f235(x65791),x65792),f2(x65791)))+~P106(f326(f326(f235(x65791),f2(x65791)),f326(f78(x65791),x65792)))
% 163.42/163.16 [6605]P106(f326(f48(x66051,x66052),f49(x66051,x66052)))+~P106(f326(f326(f235(a1),x66051),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x66052))
% 163.42/163.16 [6629]P106(f326(f48(x66291,x66292),f46(x66291,x66292)))+~P106(f326(f326(f234(a1),f2(a1)),x66291))+~P106(f326(f326(f235(a1),f2(a1)),x66292))
% 163.42/163.16 [6672]~P80(x66721)+P106(f326(f326(f234(x66721),f326(f78(x66721),x66722)),f2(x66721)))+~P106(f326(f326(f234(x66721),f2(x66721)),x66722))
% 163.42/163.16 [6673]~P80(x66731)+P106(f326(f326(f235(x66731),f326(f78(x66731),x66732)),f2(x66731)))+~P106(f326(f326(f235(x66731),f2(x66731)),x66732))
% 163.42/163.16 [6691]E(f326(f326(f3(a920),f326(a104,x66911)),f326(a104,x66912)),f326(a104,f195(x66911,x66912)))+~P106(f326(f326(f234(a1),f2(a1)),x66912))+~P106(f326(f326(f234(a1),f2(a1)),x66911))
% 163.42/163.16 [6709]P106(f326(f326(f234(a1),f2(a1)),f195(x67091,x67092)))+~P106(f326(f326(f234(a1),f2(a1)),x67092))+~P106(f326(f326(f234(a1),f2(a1)),x67091))
% 163.42/163.16 [6746]~P106(f326(x67461,x67462))+P106(f326(x67461,f2(a920)))+P106(f326(x67461,f326(f326(f79(a920),f906(x67462,x67461)),f77(a920))))
% 163.42/163.16 [6830]E(f326(f103(a920),x68301),f326(f103(a920),x68302))+~P106(f326(f326(f234(a1),f326(f103(a1),x68302)),f2(a1)))+~P106(f326(a194,f326(f103(a1),x68301)))
% 163.42/163.16 [6842]~E(x68421,f2(a920))+~E(f675(x68422,x68421),f2(a920))+E(f326(f142(a920,a920,f79(a920),x68421),x68422),f2(a920))
% 163.42/163.16 [6866]~P106(f326(f60(x68661),f876(x68662,x68661)))+~P106(f326(f60(f928(x68661,a916)),x68662))+P106(f326(f60(x68661),f36(f928(x68661,a916),x68662)))
% 163.42/163.16 [6872]E(x68721,x68722)+P106(f326(f326(f235(a1),x68721),x68722))+~P106(f326(f326(f235(a1),x68721),f326(f326(f79(a1),x68722),f77(a1))))
% 163.42/163.16 [6873]P106(f326(f326(f234(a920),f326(a104,x68731)),f326(a104,x68732)))+~P106(f326(f326(f234(a1),f2(a1)),x68732))+~P106(f326(f326(f234(a1),x68731),x68732))
% 163.42/163.16 [6874]P106(f326(f326(f234(a920),f326(a104,x68741)),f326(a104,x68742)))+~P106(f326(f326(f235(a1),f2(a1)),x68741))+~P106(f326(f326(f234(a1),x68741),x68742))
% 163.42/163.16 [6876]P106(f326(f326(f235(a920),f326(a104,x68761)),f326(a104,x68762)))+~P106(f326(f326(f234(a1),f2(a1)),x68761))+~P106(f326(f326(f235(a1),x68761),x68762))
% 163.42/163.16 [6877]P106(f326(f326(f235(a920),f326(a104,x68771)),f326(a104,x68772)))+~P106(f326(f326(f235(a1),f2(a1)),x68772))+~P106(f326(f326(f235(a1),x68771),x68772))
% 163.42/163.16 [6888]E(f44(a920,f326(a104,x68881),f326(a104,x68882)),f326(a104,f44(a1,x68881,x68882)))+~P106(f326(f326(f234(a1),f2(a1)),x68882))+~P106(f326(f326(f234(a1),f2(a1)),x68881))
% 163.42/163.16 [6911]~P80(x69111)+~P106(f326(f326(f234(x69111),f326(f78(x69111),x69112)),f2(x69111)))+P106(f326(f326(f234(x69111),f2(x69111)),x69112))
% 163.42/163.16 [6912]~P80(x69121)+~P106(f326(f326(f235(x69121),f326(f78(x69121),x69122)),f2(x69121)))+P106(f326(f326(f235(x69121),f2(x69121)),x69122))
% 163.42/163.16 [6927]~P106(f326(f326(f235(a1),a82),x69272))+~P106(f326(f326(f235(a1),x69271),x69272))+P106(f326(f326(f235(a920),f326(f103(a920),x69271)),f326(f103(a920),x69272)))
% 163.42/163.16 [7018]~P106(f326(f326(f234(a1),f2(a1)),x70181))+P106(f326(f326(f235(a920),f326(a104,x70181)),x70182))+~P106(f326(f326(f235(a1),x70181),f326(f100(a1),x70182)))
% 163.42/163.16 [7023]P106(f326(x70231,x70232))+~P106(f326(x70231,f326(a22,f810(x70231,x70232))))+~P106(f326(f326(f328(a920),x70232),f241(f928(a920,a916))))
% 163.42/163.16 [7034]E(x70341,f2(a1))+E(f44(a1,x70342,x70341),f2(a1))+E(f326(f326(f3(a1),f326(f78(a1),f326(f326(f35(a1),x70342),x70341))),f77(a1)),f326(f326(f35(a1),x70342),f326(f78(a1),x70341)))
% 163.42/163.16 [7048]~P106(f326(f326(f234(a1),f2(a1)),x70481))+~P106(f326(f326(f235(a920),f326(a104,x70481)),x70482))+P106(f326(f326(f235(a1),x70481),f326(f100(a1),x70482)))
% 163.42/163.16 [7084]~P106(f326(f326(f234(a920),f326(a104,x70841)),f326(a104,x70842)))+~P106(f326(f326(f234(a1),f2(a1)),x70842))+P106(f326(f326(f234(a1),x70841),x70842))
% 163.42/163.16 [7085]~P106(f326(f326(f234(a920),f326(a104,x70851)),f326(a104,x70852)))+~P106(f326(f326(f235(a1),f2(a1)),x70851))+P106(f326(f326(f234(a1),x70851),x70852))
% 163.42/163.16 [7114]P106(f326(f326(f234(a1),x71141),x71142))+~P106(f326(f326(f234(a920),f326(f103(a920),x71141)),f326(f103(a920),x71142)))+P106(f326(f326(f234(a1),x71141),a82))
% 163.42/163.16 [7140]P106(f326(f326(f234(a1),f2(a1)),f44(a1,x71401,x71402)))+~P106(f326(f326(f234(a1),f2(a1)),x71402))+~P106(f326(f326(f234(a1),f2(a1)),x71401))
% 163.42/163.16 [7237]P106(f326(f326(f235(a1),a82),x72371))+~P106(f326(f326(f235(a1),x72372),x72371))+~P106(f326(f326(f235(a920),f326(f103(a920),x72372)),f326(f103(a920),x72371)))
% 163.42/163.16 [7291]E(f326(f326(f251(a1,a1),f326(f326(f35(a1),x72911),x72912)),f44(a1,x72911,x72912)),f49(x72911,x72912))+~P106(f326(f326(f235(a1),x72911),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x72912))
% 163.42/163.16 [7311]E(f326(f326(f251(a1,a1),f326(f326(f35(a1),x73111),x73112)),f44(a1,x73111,x73112)),f46(x73111,x73112))+~P106(f326(f326(f234(a1),f2(a1)),x73112))+~P106(f326(f326(f234(a1),f2(a1)),x73111))
% 163.42/163.16 [7365]~P97(x73652)+E(x73651,f113(x73652))+E(f326(f142(x73652,x73652,f80(x73652),f326(f141(x73652),x73651)),f326(f171(x73652),x73651)),f326(f62(x73652,f80(x73652)),f326(f172(x73652),x73651)))
% 163.42/163.16 [7482]~E(x74821,f2(a920))+E(f326(f142(a920,a920,f79(a920),x74821),x74822),f2(a920))+P106(f326(f326(f328(a920),f675(x74822,x74821)),f326(f172(a920),x74822)))
% 163.42/163.16 [7533]~P106(f326(f326(f234(a1),x75331),f2(a1)))+P106(f326(f326(f234(a1),f326(f326(f35(a1),x75331),x75332)),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x75332))
% 163.42/163.16 [7534]~P106(f326(f326(f235(a1),x75342),f2(a1)))+P106(f326(f326(f234(a1),f326(f326(f35(a1),x75341),x75342)),f2(a1)))+~P106(f326(f326(f234(a1),f2(a1)),x75341))
% 163.42/163.16 [7535]~P106(f326(f326(f235(a1),x75352),f2(a1)))+P106(f326(f326(f235(a1),f326(f326(f35(a1),x75351),x75352)),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x75351))
% 163.42/163.16 [7537]~P106(f326(f326(f235(a1),x75371),f2(a1)))+P106(f326(f326(f235(a1),f326(f326(f35(a1),x75371),x75372)),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x75372))
% 163.42/163.16 [7543]P106(f326(f326(f328(f928(x75431,a916)),f876(x75432,x75431)),x75432))+~P106(f326(f60(f928(x75431,a916)),x75432))+P106(f326(f60(x75431),f36(f928(x75431,a916),x75432)))
% 163.42/163.16 [7633]P26(x76331,x76331,x76332,f241(f928(x76331,a916)))+~E(f326(f309(x76331,x76331,x76332),f241(f928(x76331,a916))),f241(f928(x76331,a916)))+~P106(f326(f60(x76331),f241(f928(x76331,a916))))
% 163.42/163.16 [7753]~P26(x77531,x77531,x77532,f241(f928(x77531,a916)))+E(f326(f309(x77531,x77531,x77532),f241(f928(x77531,a916))),f241(f928(x77531,a916)))+~P106(f326(f60(x77531),f241(f928(x77531,a916))))
% 163.42/163.16 [7893]E(f326(f326(f35(a1),x78931),x78932),f326(f103(a1),a97))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),x78931),x78932)),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x78931))
% 163.42/163.16 [7949]~P106(f326(f326(f235(a1),x79492),f2(a1)))+~P106(f326(f326(f235(a1),f326(f326(f35(a1),x79491),x79492)),f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x79491))
% 163.42/163.16 [7954]E(f326(f326(f79(a1),x79541),x79542),f44(a1,x79541,x79542))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),x79541),x79542)),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x79541))
% 163.42/163.16 [7957]P106(f326(f326(f235(a1),x79571),f2(a1)))+~P106(f326(f326(f235(a1),f326(f326(f35(a1),x79571),x79572)),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x79572))
% 163.42/163.16 [8649]~P109(x86491)+P14(x86491,x86492)+~P106(f326(f326(f234(x86491),f326(f326(f164(x86491),x86492),f709(x86492,x86491))),f326(f326(f164(x86491),x86492),f710(x86492,x86491))))
% 163.42/163.16 [8650]~P109(x86501)+P14(x86501,x86502)+~P106(f326(f326(f234(x86501),f326(f326(f164(x86501),x86502),f717(x86502,x86501))),f326(f326(f164(x86501),x86502),f722(x86502,x86501))))
% 163.42/163.16 [5885]E(x58851,f2(a1))+~E(f44(a1,x58852,x58851),f2(a1))+E(f326(f326(f35(a1),x58852),f326(f78(a1),x58851)),f326(f78(a1),f326(f326(f35(a1),x58852),x58851)))
% 163.42/163.16 [5903]~P42(x59032)+~P42(x59031)+P42(f326(f326(f110(f928(a1,a916)),x59031),x59032))
% 163.42/163.16 [5904]~P42(x59042)+~P42(x59041)+P42(f326(f326(f101(f928(a1,a916)),x59041),x59042))
% 163.42/163.16 [5922]~P65(x59221)+~P94(x59221)+E(f326(f78(x59221),f326(f326(f290(x59221),f77(x59221)),x59222)),f326(f326(f290(x59221),f326(f103(x59221),a97)),x59222))
% 163.42/163.16 [6040]E(x60401,f2(a1))+~E(f44(a1,x60402,x60401),f2(a1))+E(f326(f326(f35(a1),f326(f78(a1),x60402)),x60401),f326(f78(a1),f326(f326(f35(a1),x60402),x60401)))
% 163.42/163.16 [6181]~P109(x61811)+P14(x61811,x61812)+P106(f326(f326(f235(a920),f710(x61812,x61811)),f326(f190(f921(x61811)),x61812)))
% 163.42/163.16 [6182]~P109(x61821)+P14(x61821,x61822)+P106(f326(f326(f235(a920),f722(x61822,x61821)),f326(f190(f921(x61821)),x61822)))
% 163.42/163.16 [6346]~P94(x63461)+~E(f326(f103(x63461),x63462),f2(x63461))+P29(x63461,f326(f103(x63461),f326(f326(f79(a1),x63462),f326(f78(a1),a82))))
% 163.42/163.16 [6347]~P94(x63471)+~E(f326(f103(x63471),x63472),f2(x63471))+P29(x63471,f326(f103(x63471),f326(f326(f79(a1),a82),f326(f78(a1),x63472))))
% 163.42/163.16 [6349]E(f326(a50,f46(f326(f78(a1),x63491),f326(f78(a1),x63492))),f45(x63491,x63492))+P106(f326(f326(f234(a1),f2(a1)),x63491))+P106(f326(f326(f235(a1),f2(a1)),x63492))
% 163.42/163.16 [6476]~E(x64762,f2(a920))+~E(x64761,f2(a920))+P106(f326(f326(f234(a1),f326(f100(a1),x64761)),f326(f78(a1),f326(f100(a1),x64762))))
% 163.42/163.16 [6505]E(f326(f326(f79(a920),f326(f103(a920),x65051)),f326(f103(a920),x65052)),f326(f103(a920),f326(f326(f79(a1),x65051),x65052)))+P106(f326(f326(f235(a1),x65051),a82))+P106(f326(f326(f235(a1),x65052),a82))
% 163.42/163.16 [6638]~P78(x66381)+~P106(f326(f326(f234(x66381),f2(x66381)),x66382))+P106(f326(f326(f234(x66381),f326(f78(x66381),x66382)),x66382))
% 163.42/163.16 [6639]~P78(x66391)+~P106(f326(f326(f235(x66391),f2(x66391)),x66392))+P106(f326(f326(f235(x66391),f326(f78(x66391),x66392)),x66392))
% 163.42/163.16 [6816]E(f326(f326(f3(a920),f326(a104,x68161)),f326(a104,x68162)),f326(a104,f326(f326(f3(a1),x68161),x68162)))+~P106(f326(f326(f234(a1),f2(a1)),x68162))+~P106(f326(f326(f234(a1),x68162),x68161))
% 163.42/163.16 [6850]E(f326(a104,f44(a1,f326(f103(a1),x68501),f326(f103(a1),x68502))),f44(a920,f326(f103(a920),x68501),f326(f103(a920),x68502)))+P106(f326(a194,f326(f103(a1),x68501)))+P106(f326(a194,f326(f103(a1),x68502)))
% 163.42/163.16 [6867]~P78(x68671)+P106(f326(f326(f234(x68671),f2(x68671)),x68672))+~P106(f326(f326(f234(x68671),f326(f78(x68671),x68672)),x68672))
% 163.42/163.16 [6868]~P78(x68681)+P106(f326(f326(f235(x68681),f2(x68681)),x68682))+~P106(f326(f326(f235(x68681),f326(f78(x68681),x68682)),x68682))
% 163.42/163.16 [6880]~P78(x68801)+~P106(f326(f326(f234(x68801),f2(x68801)),x68802))+P106(f326(f326(f234(x68801),f2(x68801)),f326(f326(f79(x68801),x68802),x68802)))
% 163.42/163.16 [6882]~P78(x68821)+~P106(f326(f326(f235(x68821),f2(x68821)),x68822))+P106(f326(f326(f235(x68821),f2(x68821)),f326(f326(f79(x68821),x68822),x68822)))
% 163.42/163.16 [6894]E(f326(f326(f79(a920),f326(a104,x68941)),f326(a104,x68942)),f326(a104,f326(f326(f79(a1),x68941),x68942)))+~P106(f326(f326(f234(a1),f2(a1)),x68942))+~P106(f326(f326(f234(a1),f2(a1)),x68941))
% 163.42/163.16 [6905]E(x69051,f2(a920))+P106(f326(f326(f235(a920),f2(a920)),x69052))+~P106(f326(f326(f235(a920),f2(a920)),f326(f326(f243(a920),x69052),x69051)))
% 163.42/163.16 [6939]~P94(x69391)+E(f326(f103(x69391),x69392),f2(x69391))+~P29(x69391,f326(f103(x69391),f326(f326(f79(a1),a82),f326(f78(a1),x69392))))
% 163.42/163.16 [6940]~P94(x69401)+E(f326(f103(x69401),x69402),f2(x69401))+~P29(x69401,f326(f103(x69401),f326(f326(f79(a1),x69402),f326(f78(a1),a82))))
% 163.42/163.16 [6996]~P106(f326(f60(x69961),x69962))+~P106(f326(f60(x69961),f241(f928(x69961,a916))))+P106(f326(f60(x69961),f326(f78(f928(x69961,a916)),x69962)))
% 163.42/163.16 [7019]~P106(f326(f326(f235(a1),f2(a1)),x70192))+~P106(f326(f326(f234(a1),x70192),x70191))+P106(f326(f326(f235(a1),f2(a1)),f326(f326(f35(a1),x70191),x70192)))
% 163.42/163.16 [7020]~P106(f326(f326(f234(a1),x70201),f2(a1)))+~P106(f326(f326(f235(a1),x70202),f2(a1)))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f35(a1),x70201),x70202)))
% 163.42/163.16 [7058]~P106(f326(f326(f234(a1),f2(a1)),x70582))+~P106(f326(f326(f234(a1),f2(a1)),x70581))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f80(a1),x70581),x70582)))
% 163.42/163.16 [7059]~P106(f326(f326(f234(a1),f2(a1)),x70592))+~P106(f326(f326(f234(a1),f2(a1)),x70591))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x70591),x70592)))
% 163.42/163.16 [7060]~P106(f326(f326(f234(a1),f2(a1)),x70602))+~P106(f326(f326(f234(a1),f2(a1)),x70601))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f35(a1),x70601),x70602)))
% 163.42/163.16 [7061]~P106(f326(f326(f234(a1),f2(a1)),x70611))+~P106(f326(f326(f235(a1),f2(a1)),x70612))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f35(a1),x70611),x70612)))
% 163.42/163.16 [7062]~P106(f326(f326(f235(a920),f2(a920)),x70622))+~P106(f326(f326(f235(a920),f2(a920)),x70621))+P106(f326(f326(f235(a920),f2(a920)),f326(f326(f80(a920),x70621),x70622)))
% 163.42/163.16 [7127]E(x71271,f2(a1))+E(f44(a1,x71272,x71271),f2(a1))+E(f326(f326(f3(a1),f326(f78(a1),f326(f326(f35(a1),x71272),x71271))),f77(a1)),f326(f326(f35(a1),f326(f78(a1),x71272)),x71271))
% 163.42/163.16 [7182]P106(f326(f326(f235(a920),f2(a920)),x71821))+P106(f326(f326(f235(a920),f2(a920)),x71822))+~P106(f326(f326(f235(a920),f2(a920)),f326(f326(f79(a920),x71822),x71821)))
% 163.42/163.16 [7186]~P78(x71861)+P106(f326(f326(f234(x71861),f2(x71861)),x71862))+~P106(f326(f326(f234(x71861),f2(x71861)),f326(f326(f79(x71861),x71862),x71862)))
% 163.42/163.16 [7187]~P78(x71871)+P106(f326(f326(f235(x71871),f2(x71871)),x71872))+~P106(f326(f326(f235(x71871),f2(x71871)),f326(f326(f79(x71871),x71872),x71872)))
% 163.42/163.16 [7238]~P106(f326(f60(x72381),x72382))+P106(f326(f60(x72381),f241(f928(x72381,a916))))+~P106(f326(f60(x72381),f326(f78(f928(x72381,a916)),x72382)))
% 163.42/163.16 [7303]P106(f326(f326(f234(a1),x73031),f2(a1)))+~P106(f326(f326(f235(a1),x73032),f2(a1)))+~P106(f326(f326(f234(a1),f2(a1)),f326(f326(f35(a1),x73031),x73032)))
% 163.42/163.16 [7309]~P106(f326(f326(f235(a1),f2(a1)),x73091))+P106(f326(f326(f234(a1),x73091),x73092))+~P106(f326(f326(f235(a1),f2(a1)),f326(f326(f35(a1),x73092),x73091)))
% 163.42/163.16 [7310]~P106(f326(f326(f234(a1),f2(a1)),x73102))+P106(f326(f326(f234(a1),x73101),x73102))+~P106(f326(f326(f235(a1),f2(a1)),f326(f326(f35(a1),x73102),x73101)))
% 163.42/163.16 [7340]P106(f326(f326(f234(a1),f2(a1)),x73401))+~P106(f326(f326(f235(a1),f2(a1)),x73402))+~P106(f326(f326(f234(a1),f2(a1)),f326(f326(f35(a1),x73401),x73402)))
% 163.42/163.16 [7341]P106(f326(f326(f235(a1),f2(a1)),x73411))+~P106(f326(f326(f234(a1),f2(a1)),x73412))+~P106(f326(f326(f235(a1),f2(a1)),f326(f326(f35(a1),x73412),x73411)))
% 163.42/163.16 [7784]~P106(f326(f60(x77842),f241(f928(x77842,a916))))+~P106(f326(f60(x77841),f241(f928(x77841,a916))))+P106(f326(f60(f926(x77841,x77842)),f241(f928(f926(x77841,x77842),a916))))
% 163.42/163.16 [7785]~P106(f326(f60(x77852),f241(f928(x77852,a916))))+~P106(f326(f60(x77851),f241(f928(x77851,a916))))+P106(f326(f60(f927(x77851,x77852)),f241(f928(f927(x77851,x77852),a916))))
% 163.42/163.16 [7857]~P106(f326(f326(f235(a920),f326(a112,f2(a920))),x78571))+~P106(f326(f326(f235(a920),f326(a112,f2(a920))),x78572))+P106(f326(f326(f235(a920),x78571),f326(f326(f80(a920),x78572),x78571)))
% 163.42/163.16 [7858]~P106(f326(f326(f235(a920),f326(a112,f2(a920))),x78581))+~P106(f326(f326(f235(a920),f326(a112,f2(a920))),x78582))+P106(f326(f326(f235(a920),x78581),f326(f326(f80(a920),x78581),x78582)))
% 163.42/163.16 [7892]E(f326(f34(x78921),f241(f928(x78921,a916))),f326(a112,f2(a920)))+P106(f326(f60(x78922),f241(f928(x78922,a916))))+~P106(f326(f60(f928(x78922,x78921)),f241(f928(f928(x78922,x78921),a916))))
% 163.42/163.16 [8017]~P106(f326(f326(f234(a920),f326(a112,f2(a920))),x80171))+~P106(f326(f326(f234(a920),f326(a112,f2(a920))),x80172))+P106(f326(f326(f234(a920),f326(a112,f2(a920))),f326(f326(f80(a920),x80171),x80172)))
% 163.42/163.16 [8018]~P106(f326(f326(f235(a920),f326(a112,f2(a920))),x80182))+~P106(f326(f326(f235(a920),f326(a112,f2(a920))),x80181))+P106(f326(f326(f235(a920),f326(a112,f2(a920))),f326(f326(f80(a920),x80181),x80182)))
% 163.42/163.16 [8696]E(x86961,f113(x86962))+~P106(f326(f137(x86962),x86961))+E(f177(x86962,f326(f326(f10(a916,a916,x86962),a321),f326(f326(f9(x86962,x86962,a916),a323),f144(x86962,x86961))),x86961),f114(x86962,x86961))
% 163.42/163.16 [8791]~P42(x87912)+~P42(x87911)+E(f326(f309(a920,a1,f100(a1)),f326(f326(f110(f928(a920,a916)),f326(f309(a1,a920,a104),x87911)),f326(f309(a1,a920,a104),x87912))),f326(f326(f110(f928(a1,a916)),x87911),x87912))
% 163.42/163.16 [8792]~P42(x87922)+~P42(x87921)+E(f326(f309(a920,a1,f100(a1)),f326(f326(f101(f928(a920,a916)),f326(f309(a1,a920,a104),x87921)),f326(f309(a1,a920,a104),x87922))),f326(f326(f101(f928(a1,a916)),x87921),x87922))
% 163.42/163.16 [9459]~P94(x94591)+~E(f326(f103(x94591),x94592),f77(x94591))+P29(x94591,f326(f103(x94591),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f78(a1),x94592))))
% 163.42/163.16 [9710]~P94(x97101)+E(f326(f103(x97101),x97102),f77(x97101))+~P29(x97101,f326(f103(x97101),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f78(a1),x97102))))
% 163.42/163.16 [10472]E(x104721,f2(a1))+E(x104722,f2(a1))+E(f326(f257(a1,a1,a1,a1,f31(a1),f326(f80(a1),f81(a1,x104722))),f326(f326(f326(f96(f927(a1,a1)),f326(f326(a323,f81(a1,x104721)),f81(a1,x104722))),f52(x104721,x104722)),f326(f326(f256(a1,a1,f927(a1,a1)),f326(f326(f20(a1,f928(a1,f927(a1,a1)),f928(a1,f927(a1,a1))),f326(f326(f10(f928(a1,f928(f927(a1,a1),f927(a1,a1))),f928(f928(a1,f927(a1,a1)),f928(a1,f927(a1,a1))),a1),f20(a1,f927(a1,a1),f927(a1,a1))),f326(f326(f10(f927(a1,a1),f928(a1,f928(f927(a1,a1),f927(a1,a1))),a1),f326(f9(a1,f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),f326(f326(f10(a916,f928(f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),a1),f96(f927(a1,a1))),f326(f326(f9(a1,a1,a916),a323),f2(a1))))),f326(f326(f9(a1,a1,f927(a1,a1)),f326(f326(f10(a1,f928(a1,f927(a1,a1)),a1),f251(a1,a1)),f78(a1))),f2(a1))))),f326(f326(f9(a1,f928(a1,a1),f928(a1,f927(a1,a1))),f326(f326(f10(f928(a1,f927(a1,a1)),f928(f928(a1,a1),f928(a1,f927(a1,a1))),a1),f10(a1,f927(a1,a1),a1)),f326(f326(f10(a1,f928(a1,f927(a1,a1)),a1),f251(a1,a1)),f326(f326(f9(a1,a1,a1),f326(f326(f10(a1,f928(a1,a1),a1),f3(a1)),f78(a1))),f77(a1))))),f326(f3(a1),f326(f75(a1),x104722))))),f52(x104721,x104722)))),f45(x104721,x104722))
% 163.42/163.16 [10473]E(x104731,f2(a1))+E(x104732,f2(a1))+E(f326(f257(a1,a1,a1,a1,f31(a1),f326(f80(a1),f81(a1,x104732))),f326(f326(f326(f96(f927(a1,a1)),f326(f326(a325,f326(f326(a324,f326(f326(f235(a1),f2(a1)),x104732)),f326(f326(f234(a1),f2(a1)),x104731))),f326(f326(a324,f326(f326(f235(a1),x104732),f2(a1))),f326(f326(f235(a1),x104731),f2(a1))))),f52(x104731,x104732)),f326(f326(f256(a1,a1,f927(a1,a1)),f326(f326(f20(a1,f928(a1,f927(a1,a1)),f928(a1,f927(a1,a1))),f326(f326(f10(f928(a1,f928(f927(a1,a1),f927(a1,a1))),f928(f928(a1,f927(a1,a1)),f928(a1,f927(a1,a1))),a1),f20(a1,f927(a1,a1),f927(a1,a1))),f326(f326(f10(f927(a1,a1),f928(a1,f928(f927(a1,a1),f927(a1,a1))),a1),f326(f9(a1,f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),f326(f326(f10(a916,f928(f927(a1,a1),f928(f927(a1,a1),f927(a1,a1))),a1),f96(f927(a1,a1))),f326(f326(f9(a1,a1,a916),a323),f2(a1))))),f326(f326(f9(a1,a1,f927(a1,a1)),f326(f326(f10(a1,f928(a1,f927(a1,a1)),a1),f251(a1,a1)),f78(a1))),f2(a1))))),f326(f326(f9(a1,f928(a1,a1),f928(a1,f927(a1,a1))),f326(f326(f10(f928(a1,f927(a1,a1)),f928(f928(a1,a1),f928(a1,f927(a1,a1))),a1),f10(a1,f927(a1,a1),a1)),f326(f326(f10(a1,f928(a1,f927(a1,a1)),a1),f251(a1,a1)),f326(f326(f9(a1,a1,a1),f326(f326(f10(a1,f928(a1,a1),a1),f3(a1)),f78(a1))),f77(a1))))),f326(f3(a1),f326(f75(a1),x104732))))),f52(x104731,x104732)))),f45(x104731,x104732))
% 163.42/163.16 [5911]~P120(x59111)+~P94(x59111)+E(f326(f75(x59111),f326(f326(f243(x59111),f326(f103(x59111),a97)),x59112)),f77(x59111))
% 163.42/163.16 [6417]~P143(x64171)+~P106(f326(f326(f235(a1),x64172),f2(a1)))+E(f326(f78(x64171),f326(f100(x64171),f326(a104,f326(f78(a1),x64172)))),f326(f102(x64171),x64172))
% 163.42/163.16 [6622]P106(f326(f326(f234(a99),x66221),f77(a99)))+E(f326(f326(f79(a99),f77(a99)),f271(x66221,f326(f326(f35(a99),x66222),x66221))),f271(x66221,x66222))+P106(f326(f326(f235(a99),x66222),x66221))
% 163.42/163.16 [7226]~P93(x72261)+~P106(f326(f326(f328(x72261),x72262),f109(x72261)))+~E(f326(f326(f79(x72261),f326(f326(f79(x72261),f77(x72261)),x72262)),x72262),f2(x72261))
% 163.42/163.16 [7342]~P106(f326(f326(f234(a1),x73422),f2(a1)))+~P106(f326(f326(f235(a1),x73421),f2(a1)))+E(f326(f250(a1,a1),f326(a50,f46(f326(f78(a1),x73421),f326(f78(a1),x73422)))),f326(f326(f35(a1),x73421),x73422))
% 163.42/163.16 [7359]~P106(f326(f326(f234(a1),x73592),f2(a1)))+~P106(f326(f326(f235(a1),x73591),f2(a1)))+E(f326(f255(a1,a1),f326(a50,f46(f326(f78(a1),x73591),f326(f78(a1),x73592)))),f44(a1,x73591,x73592))
% 163.42/163.16 [7367]~P106(f326(f326(f235(a1),x73672),f2(a1)))+E(f326(f250(a1,a1),f326(a50,f49(f326(f78(a1),x73671),f326(f78(a1),x73672)))),f326(f326(f35(a1),x73671),x73672))+~P106(f326(f326(f235(a1),f2(a1)),x73671))
% 163.42/163.16 [7385]~P106(f326(f326(f235(a1),x73852),f2(a1)))+E(f326(f255(a1,a1),f326(a50,f49(f326(f78(a1),x73851),f326(f78(a1),x73852)))),f44(a1,x73851,x73852))+~P106(f326(f326(f235(a1),f2(a1)),x73851))
% 163.42/163.16 [7438]E(f326(f326(f35(a1),f326(f326(f243(a1),x74381),x74382)),x74381),f326(f326(f243(a1),x74381),f326(f326(f3(a920),x74382),f326(a112,f2(a920)))))+~P106(f326(f326(f235(a920),f2(a920)),x74382))+~P106(f326(f326(f235(a1),f2(a1)),x74381))
% 163.42/163.16 [7540]~P106(f326(f326(f235(a920),f2(a920)),x75401))+~P106(f326(f326(f235(a920),f2(a920)),x75402))+P106(f326(f326(f235(a920),f326(f326(f3(a920),x75401),x75402)),x75401))
% 163.42/163.16 [7541]~P106(f326(f326(f235(a920),f2(a920)),x75411))+~P106(f326(f326(f235(a920),f77(a920)),x75412))+P106(f326(f326(f235(a920),f326(f326(f35(a920),x75411),x75412)),x75411))
% 163.42/163.16 [7542]~P106(f326(f326(f235(a1),f2(a1)),x75421))+~P106(f326(f326(f235(a1),f77(a1)),x75422))+P106(f326(f326(f235(a1),f326(f326(f35(a1),x75421),x75422)),x75421))
% 163.42/163.16 [7679]E(x76791,f2(a920))+~E(x76792,f2(a1))+~P106(f326(f326(f235(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x76792)),x76791)))
% 163.42/163.16 [8096]~E(x80962,f113(f921(x80961)))+E(f326(f190(f921(f921(x80961))),f179(x80961,x80962)),f2(a920))+~P14(a920,f326(f168(a920),f326(f326(f154(f921(x80961),a920),f190(f921(x80961))),x80962)))
% 163.42/163.16 [8349]P106(f326(x83491,x83492))+~P106(f326(x83491,f326(a106,f548(x83491,x83492))))+~P106(f326(f326(f328(f928(f927(a920,a920),a916)),x83492),a98))
% 163.42/163.16 [8365]E(x83651,f113(f921(x83652)))+E(f326(f190(f921(x83652)),f326(f326(f164(f921(x83652)),x83651),f2(a920))),f326(f190(f921(f921(x83652))),f179(x83652,x83651)))+~P14(a920,f326(f168(a920),f326(f326(f154(f921(x83652),a920),f190(f921(x83652))),x83651)))
% 163.42/163.16 [8505]~P40(x85051,x85052)+~P41(x85051,x85052)+P40(x85051,f326(f326(f3(f928(f927(x85051,x85051),a916)),x85052),f306(x85051,f189(f928(f927(x85051,x85051),a916)))))
% 163.42/163.16 [9079]~P106(f326(f60(x90791),f326(f261(x90791),x90792)))+~P106(f326(f60(x90791),f241(f928(x90791,a916))))+P106(f326(f60(x90791),f326(f261(x90791),f326(f326(f10(a916,a916,x90791),a321),x90792))))
% 163.42/163.16 [9143]E(f326(f326(f251(a920,a920),f326(a112,f326(f326(f35(a920),f326(f326(f3(a920),x91431),x91432)),x91432))),f44(a920,f326(f326(f3(a920),x91431),x91432),x91432)),f84(f927(a920,a920),f47(x91431,x91432)))+~P106(f326(f326(f235(a920),f2(a920)),x91432))+~P106(f326(f326(f234(a920),x91432),x91431))
% 163.42/163.16 [9425]~P106(f326(f60(x94251),f326(f261(x94251),x94252)))+P106(f326(f60(x94251),f241(f928(x94251,a916))))+~P106(f326(f60(x94251),f326(f261(x94251),f326(f326(f10(a916,a916,x94251),a321),x94252))))
% 163.42/163.16 [10151]P28(x101511,x101512)+~P39(x101511,f326(f250(f928(f927(x101511,x101511),a916),f928(f927(x101511,x101511),a916)),x101512))+~P106(f326(f326(f234(f928(f927(x101511,x101511),a916)),f326(f326(f288(x101511,x101511,x101511),f326(f250(f928(f927(x101511,x101511),a916),f928(f927(x101511,x101511),a916)),x101512)),f326(f255(f928(f927(x101511,x101511),a916),f928(f927(x101511,x101511),a916)),x101512))),f326(f250(f928(f927(x101511,x101511),a916),f928(f927(x101511,x101511),a916)),x101512)))
% 163.42/163.16 [10247]~E(f299(a920,f286(a920),f326(f326(f20(a920,f928(a920,a916),f928(a920,a916)),f326(f326(f10(f928(a920,f928(a916,a916)),f928(f928(a920,a916),f928(a920,a916)),a920),f20(a920,a916,a916)),f326(f326(f10(f928(a920,a916),f928(a920,f928(a916,a916)),a920),f326(f10(a916,f928(a916,a916),a920),a324)),f286(a920)))),f326(f326(f10(f928(a920,a916),f928(a920,a916),a920),f326(f10(a916,a916,a920),a321)),f326(f9(a920,a920,a916),f286(a920)))),x102472,x102471),f189(f928(a920,a916)))+~P106(f326(f326(f286(a920),x102472),x102471))+P106(f326(f326(f286(a920),x102471),x102472))
% 163.42/163.16 [10248]~E(f296(a920,f286(a920),f326(f326(f20(a920,f928(a920,a916),f928(a920,a916)),f326(f326(f10(f928(a920,f928(a916,a916)),f928(f928(a920,a916),f928(a920,a916)),a920),f20(a920,a916,a916)),f326(f326(f10(f928(a920,a916),f928(a920,f928(a916,a916)),a920),f326(f10(a916,f928(a916,a916),a920),a324)),f286(a920)))),f326(f326(f10(f928(a920,a916),f928(a920,a916),a920),f326(f10(a916,a916,a920),a321)),f326(f9(a920,a920,a916),f286(a920)))),x102482,x102481),f189(f928(a920,a916)))+~P106(f326(f326(f286(a920),x102482),x102481))+P106(f326(f326(f286(a920),x102481),x102482))
% 163.42/163.16 [7468]~P106(f326(f326(f235(a920),f2(a920)),x74682))+P106(f326(f326(f235(a920),x74681),x74682))+E(f326(a112,f326(f326(f35(a920),f326(f326(f3(a920),x74681),x74682)),x74682)),f326(f326(f35(a920),x74681),x74682))
% 163.42/163.16 [7605]~P106(f326(f326(f235(a920),f2(a920)),x76052))+~P106(f326(f326(f234(a920),x76052),x76051))+E(f326(a112,f326(f326(f35(a920),f326(f326(f3(a920),x76051),x76052)),x76052)),f326(f326(f35(a920),x76051),x76052))
% 163.42/163.16 [8568]~P94(x85681)+~P93(x85681)+~P29(x85681,f326(f103(x85681),f326(f326(f3(a1),f326(f326(f79(a1),x85682),x85682)),a97)))
% 163.42/163.16 [9332]E(x93321,f2(a920))+E(f326(f326(f256(a920,a920,f927(a920,a920)),f326(f326(f10(a920,f928(a920,f927(a920,a920)),a920),f251(a920,a920)),a112)),f84(f927(a920,a920),f47(f326(f326(f3(a920),x93322),x93321),x93321))),f84(f927(a920,a920),f47(x93322,x93321)))+P106(f326(f326(f235(a920),x93322),x93321))
% 163.42/163.16 [9513]~P40(x95131,x95132)+~P53(x95131,x95132)+P106(f326(f326(f234(f928(f927(x95131,x95131),a916)),f326(f326(f288(x95131,x95131,x95131),f326(f285(x95131,x95131),x95132)),x95132)),x95132))
% 163.42/163.16 [9774]P106(f326(x97742,f642(x97742,x97741)))+P106(f326(x97741,f642(x97742,x97741)))+E(f326(f261(a1),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f234(a1),f2(a1)))),x97741)),f326(f261(a1),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f234(a1),f2(a1)))),x97742)))
% 163.42/163.16 [9778]~P106(f326(x97782,f642(x97782,x97781)))+~P106(f326(x97781,f642(x97782,x97781)))+E(f326(f261(a1),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f234(a1),f2(a1)))),x97781)),f326(f261(a1),f326(f326(f20(a1,a916,a916),f326(f326(f10(a916,f928(a916,a916),a1),a324),f326(f234(a1),f2(a1)))),x97782)))
% 163.42/163.16 [7815]~P66(x78151)+~P94(x78151)+E(f326(f326(f290(x78151),x78152),f326(f103(x78151),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),x78152)
% 163.42/163.16 [9458]~P94(x94581)+~E(f326(f103(x94581),x94582),f77(x94581))+P29(x94581,f326(f103(x94581),f326(f326(f79(a1),x94582),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 163.42/163.16 [9645]~P144(x96451)+~E(x96452,f77(x96451))+E(f326(f326(f243(x96451),x96452),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x96451))
% 163.42/163.16 [9646]~P144(x96461)+~E(x96462,f2(x96461))+E(f326(f326(f243(x96461),x96462),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(x96461))
% 163.42/163.16 [9661]~P144(x96611)+~E(x96612,f326(f78(x96611),f77(x96611)))+E(f326(f326(f243(x96611),x96612),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x96611))
% 163.42/163.16 [9711]~P94(x97111)+E(f326(f103(x97111),x97112),f77(x97111))+~P29(x97111,f326(f103(x97111),f326(f326(f79(a1),x97112),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 163.42/163.16 [10093]~P120(x100932)+E(x100931,f2(x100932))+P106(f326(f326(f235(x100932),f2(x100932)),f326(f326(f243(x100932),x100931),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 163.42/163.16 [10150]~P120(x101502)+~E(x101501,f2(x101502))+~P106(f326(f326(f235(x101502),f2(x101502)),f326(f326(f243(x101502),x101501),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 163.42/163.16 [10186]P106(f326(f326(f234(a1),x101861),f2(a1)))+P106(f326(f326(f235(a1),x101862),x101861))+E(f326(f42(x101861),f46(x101862,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101861))),f46(x101862,x101861))
% 163.42/163.16 [10187]~P106(f326(f326(f235(a1),f2(a1)),x101871))+P106(f326(f326(f235(a1),x101872),x101871))+E(f326(f42(x101871),f46(x101872,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101871))),f46(x101872,x101871))
% 163.42/163.16 [10188]P106(f326(f326(f234(a1),x101881),f2(a1)))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x101882),x101881)))+E(f326(f42(x101881),f49(x101882,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101881))),f49(x101882,x101881))
% 163.42/163.16 [10189]~P106(f326(f326(f235(a1),f2(a1)),x101891))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x101892),x101891)))+E(f326(f42(x101891),f49(x101892,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101891))),f49(x101892,x101891))
% 163.42/163.16 [10190]~P146(x101901)+~P106(f326(f326(f234(a1),f2(a1)),x101902))+E(f326(f100(x101901),f326(a104,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101902))),f326(f326(f79(x101901),f326(f100(x101901),f326(a104,x101902))),f326(f100(x101901),f326(a104,x101902))))
% 163.42/163.16 [5240]~P148(x52401,x52403,x52402)+~E(x52403,f2(a1))+P106(f326(x52401,x52402))
% 163.42/163.16 [5365]~P109(x53651)+~P14(x53651,x53653)+P14(x53651,f170(x53651,x53652,x53653))
% 163.42/163.16 [5366]~P109(x53661)+~P14(x53661,x53663)+P14(x53661,f177(x53661,x53662,x53663))
% 163.42/163.16 [4933]~P76(x49332)+~E(x49333,f326(f78(x49332),x49331))+E(x49331,f326(f78(x49332),x49333))
% 163.42/163.16 [4935]~P76(x49351)+~E(f326(f78(x49351),x49353),x49352)+E(f326(f78(x49351),x49352),x49353)
% 163.42/163.16 [5014]~P103(x50143)+E(x50141,x50142)+~E(f326(f100(x50143),x50141),f326(f100(x50143),x50142))
% 163.42/163.16 [5015]~P76(x50153)+E(x50151,x50152)+~E(f326(f78(x50153),x50151),f326(f78(x50153),x50152))
% 163.42/163.16 [5016]~P96(x50163)+E(x50161,x50162)+~E(f326(f78(x50163),x50161),f326(f78(x50163),x50162))
% 163.42/163.16 [5017]~P93(x50173)+E(x50171,x50172)+~E(f326(f102(x50173),x50171),f326(f102(x50173),x50172))
% 163.42/163.16 [5018]~P109(x50183)+E(x50181,x50182)+~E(f326(f281(x50183),x50181),f326(f281(x50183),x50182))
% 163.42/163.16 [5019]~P109(x50193)+E(x50191,x50192)+~E(f326(f300(x50193),x50191),f326(f300(x50193),x50192))
% 163.42/163.16 [5020]~P109(x50203)+E(x50201,x50202)+~E(f326(f282(x50203),x50201),f326(f282(x50203),x50202))
% 163.42/163.16 [5021]~P109(x50213)+E(x50211,x50212)+~E(f326(f303(x50213),x50211),f326(f303(x50213),x50212))
% 163.42/163.16 [5123]~P64(x51231)+~P106(f326(x51232,x51233))+P106(f326(f55(x51231),x51232))
% 163.42/163.16 [5159]~P64(x51593)+P106(f326(x51591,x51592))+~P106(f326(f56(x51593),x51591))
% 163.42/163.16 [5260]~P149(x52601,x52602,x52603)+~E(x52602,f2(a1))+P106(f326(x52601,f2(a1)))
% 163.42/163.16 [5300]~E(x53001,f2(a920))+E(f858(x53001,x53002,x53003),f189(f928(x53003,a916)))+~E(f326(f34(x53003),x53002),f326(a112,x53001))
% 163.42/163.16 [5449]~E(x54492,f2(a920))+E(f326(f250(a920,a920),x54491),f2(a920))+~P106(f326(f47(x54493,x54492),x54491))
% 163.42/163.16 [5493]P106(f326(x54931,x54932))+~E(x54933,f326(f100(a1),x54932))+~P106(f326(x54931,f326(a104,x54933)))
% 163.42/163.16 [5975]~E(x59753,f2(a920))+~P106(f326(x59751,x59752))+P106(f326(x59751,f44(a920,x59752,x59753)))
% 163.42/163.16 [6210]~P104(x62102)+~P104(x62101)+E(f131(x62101,x62102,f132(x62101,x62103),f132(x62102,x62103)),f132(f927(x62101,x62102),x62103))
% 163.42/163.16 [6399]~E(x63993,f2(a920))+P106(f326(x63991,x63992))+~P106(f326(x63991,f44(a920,x63992,x63993)))
% 163.42/163.16 [7083]E(x70831,f2(a920))+~P106(f326(x70832,f364(x70831,x70833,x70832)))+P106(f326(x70832,f44(a920,x70833,x70831)))
% 163.42/163.16 [7192]~P6(x71921)+~P106(f326(f326(f234(x71921),x71922),f381(x71923,x71922,x71921)))+P106(f326(f326(f234(x71921),x71922),f37(x71921,x71923)))
% 163.42/163.16 [7194]~P106(f326(x71941,x71942))+~P106(f326(x71941,f364(x71943,x71942,x71941)))+P106(f326(x71941,f44(a920,x71942,x71943)))
% 163.42/163.16 [7297]E(x72971,f113(x72972))+E(f326(f326(f151(x72972),f690(x72973,x72971,x72972)),f693(x72973,x72971,x72972)),x72971)+~P106(f326(f326(f328(f921(x72972)),x72971),f161(x72972,x72973)))
% 163.42/163.16 [7329]~P143(x73291)+~P106(f326(f326(f328(x73291),x73292),f109(x73291)))+P106(f326(f326(f328(x73291),f326(f326(f243(x73291),x73292),x73293)),f109(x73291)))
% 163.42/163.16 [7651]P39(x76511,x76512)+~P106(f326(f326(f328(x76511),x76513),f617(x76512,x76511)))+P106(f326(f326(f328(x76511),f640(x76512,x76511,x76513)),f617(x76512,x76511)))
% 163.42/163.16 [7919]E(x79191,f113(x79192))+~P106(f326(f326(f328(f921(x79192)),x79191),f161(x79192,x79193)))+P106(f326(f326(f328(f921(x79192)),f693(x79193,x79191,x79192)),f161(x79192,x79193)))
% 163.42/163.16 [7971]E(x79711,f2(a920))+E(f326(f326(f79(a920),f326(f326(f80(a920),x79711),f365(x79711,x79712,x79713))),f364(x79711,x79712,x79713)),x79712)+P106(f326(x79713,f44(a920,x79712,x79711)))
% 163.42/163.16 [8012]~P106(f326(x80123,x80122))+E(f326(f326(f79(a920),f326(f326(f80(a920),x80121),f365(x80121,x80122,x80123))),f364(x80121,x80122,x80123)),x80122)+P106(f326(x80123,f44(a920,x80122,x80121)))
% 163.42/163.16 [8152]P106(f326(f326(f235(a1),x81521),f372(x81522,x81523,x81521)))+P106(f326(f326(x81523,f326(f326(f35(a1),x81522),x81521)),f44(a1,x81522,x81521)))+~P106(f326(f326(f235(a1),x81521),f2(a1)))
% 163.42/163.16 [8420]P106(f326(f326(x84202,f326(f326(f35(a1),x84201),x84203)),f44(a1,x84201,x84203)))+~P106(f326(f326(f235(a1),x84203),f2(a1)))+P106(f326(f326(f234(a1),f372(x84201,x84202,x84203)),f2(a1)))
% 163.42/163.16 [8602]E(f326(f326(f79(a1),f326(f326(f80(a1),x86021),f375(x86022,x86023,x86021))),f372(x86022,x86023,x86021)),x86022)+P106(f326(f326(x86023,f326(f326(f35(a1),x86022),x86021)),f44(a1,x86022,x86021)))+~P106(f326(f326(f235(a1),x86021),f2(a1)))
% 163.42/163.16 [8841]~P106(f326(f326(x88411,f375(x88412,x88411,x88413)),f372(x88412,x88411,x88413)))+P106(f326(f326(x88411,f326(f326(f35(a1),x88412),x88413)),f44(a1,x88412,x88413)))+~P106(f326(f326(f235(a1),x88413),f2(a1)))
% 163.42/163.16 [9092]~P109(x90921)+~P14(x90921,x90923)+P14(x90921,f149(x90921,x90921,f7(x90921),x90922,x90923))
% 163.42/163.16 [9590]~P129(x95902)+E(x95901,f2(x95902))+~P106(f326(f326(f234(x95902),f326(f326(f79(x95902),f326(f326(f80(x95902),x95903),x95903)),f326(f326(f80(x95902),x95901),x95901))),f2(x95902)))
% 163.42/163.16 [9591]~P129(x95912)+E(x95911,f2(x95912))+~P106(f326(f326(f234(x95912),f326(f326(f79(x95912),f326(f326(f80(x95912),x95911),x95911)),f326(f326(f80(x95912),x95913),x95913))),f2(x95912)))
% 163.42/163.16 [10404]~P120(x104041)+~P106(f326(f326(f235(x104041),x104042),f2(x104041)))+P106(f326(f326(f235(x104041),f326(f326(f243(x104041),x104042),f326(a112,f326(f326(f80(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x104043)))),f2(x104041)))
% 163.42/163.16 [10414]~P120(x104142)+E(x104141,f2(x104142))+~P106(f326(f326(f234(x104142),f326(f326(f79(x104142),f326(f326(f243(x104142),x104143),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104142),x104141),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x104142)))
% 163.42/163.16 [10415]~P120(x104152)+E(x104151,f2(x104152))+~P106(f326(f326(f234(x104152),f326(f326(f79(x104152),f326(f326(f243(x104152),x104151),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104152),x104153),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x104152)))
% 163.42/163.16 [4969]~E(x49692,x49693)+~P69(x49691)+E(f326(f326(f3(x49691),x49692),x49693),f2(x49691))
% 163.42/163.16 [4970]~E(x49702,x49703)+~P76(x49701)+E(f326(f326(f3(x49701),x49702),x49703),f2(x49701))
% 163.42/163.16 [4983]~P140(x49831)+~E(x49833,f2(x49831))+E(f326(f326(f79(x49831),x49832),x49833),x49832)
% 163.42/163.16 [5000]~P142(x50001)+~E(x50003,f2(x50001))+E(f326(f326(f80(x50001),x50002),x50003),f2(x50001))
% 163.42/163.16 [5001]~P142(x50011)+~E(x50012,f2(x50011))+E(f326(f326(f80(x50011),x50012),x50013),f2(x50011))
% 163.42/163.16 [5023]~E(x50233,f113(x50231))+~E(x50232,f113(x50231))+E(f326(f326(f134(x50231),x50232),x50233),f113(x50231))
% 163.42/163.16 [5113]~P140(x51132)+E(x51131,f2(x51132))+~E(f326(f326(f79(x51132),x51133),x51131),x51133)
% 163.42/163.16 [5114]~P76(x51141)+~E(x51142,f326(f78(x51141),x51143))+E(f326(f326(f79(x51141),x51142),x51143),f2(x51141))
% 163.42/163.16 [5121]E(x51211,f113(x51212))+E(x51213,f2(a920))+~E(f326(f326(f175(x51212),x51213),x51211),f113(x51212))
% 163.42/163.16 [5127]~P69(x51273)+E(x51271,x51272)+~E(f326(f326(f3(x51273),x51271),x51272),f2(x51273))
% 163.42/163.16 [5128]~P76(x51283)+E(x51281,x51282)+~E(f326(f326(f3(x51283),x51281),x51282),f2(x51283))
% 163.42/163.16 [5141]~P144(x51412)+E(x51411,f2(x51412))+~E(f326(f326(f243(x51412),x51411),x51413),f2(x51412))
% 163.42/163.16 [5142]~P3(x51422)+E(x51421,f189(x51422))+~E(f326(f326(f110(x51422),x51423),x51421),f189(x51422))
% 163.42/163.16 [5143]~P3(x51432)+E(x51431,f189(x51432))+~E(f326(f326(f110(x51432),x51431),x51433),f189(x51432))
% 163.42/163.16 [5144]~P100(x51442)+E(x51441,f241(x51442))+~E(f326(f326(f101(x51442),x51443),x51441),f241(x51442))
% 163.42/163.16 [5145]~P100(x51452)+E(x51451,f241(x51452))+~E(f326(f326(f101(x51452),x51451),x51453),f241(x51452))
% 163.42/163.16 [5214]~P76(x52142)+E(x52141,f326(f78(x52142),x52143))+~E(f326(f326(f79(x52142),x52141),x52143),f2(x52142))
% 163.42/163.16 [5215]~P76(x52151)+E(f326(f78(x52151),x52152),x52153)+~E(f326(f326(f79(x52151),x52152),x52153),f2(x52151))
% 163.42/163.16 [5217]~E(x52172,x52173)+~P107(x52171)+P106(f326(f326(f234(x52171),x52172),x52173))
% 163.42/163.16 [5219]~E(x52192,x52193)+~P110(x52191)+P106(f326(f326(f234(x52191),x52192),x52193))
% 163.42/163.16 [5318]~P122(x53181)+~E(x53182,f326(f78(x53181),x53183))+E(f326(f326(f80(x53181),x53182),x53182),f326(f326(f80(x53181),x53183),x53183))
% 163.42/163.16 [5326]~P109(x53261)+~P14(x53261,x53263)+P14(x53261,f326(f326(f175(x53261),x53262),x53263))
% 163.42/163.16 [5327]~P109(x53271)+~P14(x53271,x53273)+P14(x53271,f326(f326(f138(x53271),x53272),x53273))
% 163.42/163.16 [5363]E(x53631,x53632)+E(x53633,f2(a920))+~E(f326(f326(f80(a920),x53633),x53631),f326(f326(f80(a920),x53633),x53632))
% 163.42/163.16 [5364]E(x53641,x53642)+E(x53643,f2(a920))+~E(f326(f326(f80(a920),x53641),x53643),f326(f326(f80(a920),x53642),x53643))
% 163.42/163.16 [5442]~E(x54422,x54423)+~P110(x54421)+E(f302(x54421,x54422,x54423),f326(f326(f308(x54421),x54422),f189(f928(x54421,a916))))
% 163.42/163.16 [5483]~P120(x54831)+~E(f326(f75(x54831),x54832),f326(f75(x54831),x54833))+P106(f326(f326(f286(x54831),x54832),x54833))
% 163.42/163.16 [5491]~E(x54911,x54912)+~P109(x54913)+~P106(f326(f326(f235(x54913),x54911),x54912))
% 163.42/163.16 [5492]~E(x54921,x54922)+~P110(x54923)+~P106(f326(f326(f235(x54923),x54921),x54922))
% 163.42/163.16 [5504]~P110(x55041)+E(f326(f301(x55041,x55042),x55043),f189(f928(x55041,a916)))+P106(f326(f326(f235(x55041),x55042),x55043))
% 163.42/163.16 [5552]~P110(x55521)+E(f302(x55521,x55522,x55523),f189(f928(x55521,a916)))+P106(f326(f326(f234(x55521),x55522),x55523))
% 163.42/163.16 [5553]~P110(x55531)+E(f304(x55531,x55532,x55533),f189(f928(x55531,a916)))+P106(f326(f326(f235(x55531),x55532),x55533))
% 163.42/163.16 [5554]~P110(x55541)+E(f189(f928(x55541,a916)),f302(x55541,x55542,x55543))+P106(f326(f326(f234(x55541),x55542),x55543))
% 163.42/163.16 [5555]~P110(x55551)+E(f189(f928(x55551,a916)),f304(x55551,x55552,x55553))+P106(f326(f326(f235(x55551),x55552),x55553))
% 163.42/163.16 [5563]~P101(x55631)+~E(f326(f326(f110(x55631),x55632),x55633),x55633)+P106(f326(f326(f234(x55631),x55632),x55633))
% 163.42/163.16 [5564]~P102(x55641)+~E(f326(f326(f101(x55641),x55642),x55643),x55642)+P106(f326(f326(f234(x55641),x55642),x55643))
% 163.42/163.16 [5565]~P109(x55651)+~E(f326(f326(f188(x55651),x55652),x55653),x55652)+P106(f326(f326(f234(x55651),x55652),x55653))
% 163.42/163.16 [5566]~P109(x55661)+~E(f326(f326(f233(x55661),x55662),x55663),x55663)+P106(f326(f326(f234(x55661),x55662),x55663))
% 163.42/163.16 [5585]~P109(x55851)+P14(x55851,x55852)+~P14(x55851,f326(f326(f151(x55851),x55853),x55852))
% 163.42/163.16 [5586]~P109(x55861)+P14(x55861,x55862)+~P14(x55861,f326(f326(f134(x55861),x55863),x55862))
% 163.42/163.16 [5587]~P109(x55871)+P14(x55871,x55872)+~P14(x55871,f326(f326(f134(x55871),x55872),x55873))
% 163.42/163.16 [5592]~P62(x55921)+~E(f44(x55921,x55923,x55922),f2(x55921))+P106(f326(f326(f286(x55921),x55922),x55923))
% 163.42/163.16 [5653]~P109(x56531)+P106(f326(f326(f234(x56531),x56533),x56532))+P106(f326(f326(f234(x56531),x56532),x56533))
% 163.42/163.16 [5658]~P109(x56581)+P106(f326(f326(f235(x56581),x56583),x56582))+P106(f326(f326(f234(x56581),x56582),x56583))
% 163.42/163.16 [5696]~P101(x56961)+E(f326(f326(f110(x56961),x56962),x56963),x56962)+~P106(f326(f326(f234(x56961),x56963),x56962))
% 163.42/163.16 [5698]~P101(x56981)+E(f326(f326(f110(x56981),x56982),x56983),x56983)+~P106(f326(f326(f234(x56981),x56982),x56983))
% 163.42/163.16 [5699]~P102(x56991)+E(f326(f326(f101(x56991),x56992),x56993),x56993)+~P106(f326(f326(f234(x56991),x56993),x56992))
% 163.42/163.16 [5701]~P102(x57011)+E(f326(f326(f101(x57011),x57012),x57013),x57012)+~P106(f326(f326(f234(x57011),x57012),x57013))
% 163.42/163.16 [5702]~P109(x57021)+E(f326(f326(f188(x57021),x57022),x57023),x57023)+~P106(f326(f326(f234(x57021),x57023),x57022))
% 163.42/163.16 [5704]~P109(x57041)+E(f326(f326(f188(x57041),x57042),x57043),x57042)+~P106(f326(f326(f234(x57041),x57042),x57043))
% 163.42/163.16 [5705]~P109(x57051)+E(f326(f326(f233(x57051),x57052),x57053),x57052)+~P106(f326(f326(f234(x57051),x57053),x57052))
% 163.42/163.16 [5707]~P109(x57071)+E(f326(f326(f233(x57071),x57072),x57073),x57073)+~P106(f326(f326(f234(x57071),x57072),x57073))
% 163.42/163.16 [5714]~P124(x57142)+E(x57141,f2(x57142))+E(f326(f326(f290(x57142),f326(f78(x57142),x57143)),f326(f78(x57142),x57141)),f326(f326(f290(x57142),x57143),x57141))
% 163.42/163.16 [5721]~P62(x57211)+E(f44(x57211,x57212,x57213),f2(x57211))+~P106(f326(f326(f286(x57211),x57213),x57212))
% 163.42/163.16 [5768]~P110(x57681)+E(f326(f301(x57681,x57682),x57683),f189(f928(x57681,a916)))+~P106(f326(f326(f234(x57681),x57683),x57682))
% 163.42/163.16 [5800]~P110(x58001)+E(f302(x58001,x58002,x58003),f189(f928(x58001,a916)))+~P106(f326(f326(f235(x58001),x58003),x58002))
% 163.42/163.16 [5801]~P110(x58011)+E(f305(x58011,x58012,x58013),f189(f928(x58011,a916)))+~P106(f326(f326(f234(x58011),x58013),x58012))
% 163.42/163.16 [5802]~P110(x58021)+E(f304(x58021,x58022,x58023),f189(f928(x58021,a916)))+~P106(f326(f326(f234(x58021),x58023),x58022))
% 163.42/163.16 [5854]~E(f326(f326(f3(a920),x58541),x58543),x58542)+E(x58541,f326(f326(f79(a920),x58542),x58543))+~P106(f326(f326(f234(a920),x58543),x58541))
% 163.42/163.16 [5855]~E(x58551,f326(f326(f79(a920),x58553),x58552))+E(f326(f326(f3(a920),x58551),x58552),x58553)+~P106(f326(f326(f234(a920),x58552),x58551))
% 163.42/163.16 [5900]~P106(f326(x59001,x59003))+P106(f326(x59001,f433(x59001,x59002)))+~P106(f326(f326(f234(a920),x59003),x59002))
% 163.42/163.16 [5901]~P106(f326(x59011,x59013))+P106(f326(x59011,f483(x59011,x59012)))+~P106(f326(f326(f235(a920),x59013),x59012))
% 163.42/163.16 [5909]~P110(x59091)+~E(f326(f301(x59091,x59092),x59093),f189(f928(x59091,a916)))+~P106(f326(f326(f235(x59091),x59092),x59093))
% 163.42/163.16 [5914]~P107(x59141)+~P106(f326(f326(f235(x59141),x59142),x59143))+P106(f326(f326(f234(x59141),x59142),x59143))
% 163.42/163.16 [5916]~P110(x59161)+~P106(f326(f326(f235(x59161),x59162),x59163))+P106(f326(f326(f234(x59161),x59162),x59163))
% 163.42/163.16 [6025]~P110(x60251)+~E(f302(x60251,x60252,x60253),f189(f928(x60251,a916)))+~P106(f326(f326(f234(x60251),x60252),x60253))
% 163.42/163.16 [6026]~P110(x60261)+~E(f304(x60261,x60262,x60263),f189(f928(x60261,a916)))+~P106(f326(f326(f235(x60261),x60262),x60263))
% 163.42/163.16 [6027]~P110(x60271)+~E(f189(f928(x60271,a916)),f302(x60271,x60272,x60273))+~P106(f326(f326(f234(x60271),x60272),x60273))
% 163.42/163.16 [6028]~P110(x60281)+~E(f189(f928(x60281,a916)),f304(x60281,x60282,x60283))+~P106(f326(f326(f235(x60281),x60282),x60283))
% 163.42/163.16 [6038]P106(f326(x60381,x60382))+~P106(f326(x60381,f437(x60381,x60383)))+~P106(f326(f326(f234(a920),x60382),x60383))
% 163.42/163.16 [6039]P106(f326(x60391,x60392))+~P106(f326(x60391,f490(x60391,x60393)))+~P106(f326(f326(f235(a920),x60392),x60393))
% 163.42/163.16 [6047]~E(x60471,f326(a112,x60473))+P106(f326(f326(f235(a920),x60471),f326(a112,x60472)))+~P106(f326(f326(f235(a920),x60473),x60472))
% 163.42/163.16 [6066]E(x60661,x60662)+~E(f326(f326(f80(a920),x60663),x60661),f326(f326(f80(a920),x60663),x60662))+~P106(f326(f326(f235(a920),f2(a920)),x60663))
% 163.42/163.16 [6126]E(f326(x61261,f890(x61261,x61262,x61263)),f77(a920))+~E(f326(f326(f8(x61263,a920),x61261),x61262),f77(a920))+~P106(f326(f60(x61263),x61262))
% 163.42/163.16 [6143]~P6(x61431)+P106(f326(f326(f234(x61431),x61432),f36(x61431,x61433)))+~P106(f326(f326(f328(x61431),x61432),x61433))
% 163.42/163.16 [6166]~P107(x61661)+~P106(f326(f326(f235(x61661),x61663),x61662))+~P106(f326(f326(f234(x61661),x61662),x61663))
% 163.42/163.16 [6170]~P107(x61701)+~P106(f326(f326(f235(x61701),x61703),x61702))+~P106(f326(f326(f235(x61701),x61702),x61703))
% 163.42/163.16 [6173]~P109(x61731)+~P106(f326(f326(f235(x61731),x61733),x61732))+~P106(f326(f326(f234(x61731),x61732),x61733))
% 163.42/163.16 [6174]~P109(x61741)+~P106(f326(f326(f235(x61741),x61743),x61742))+~P106(f326(f326(f235(x61741),x61742),x61743))
% 163.42/163.16 [6175]~P110(x61751)+~P106(f326(f326(f235(x61751),x61753),x61752))+~P106(f326(f326(f235(x61751),x61752),x61753))
% 163.42/163.16 [6195]~E(x61952,x61953)+~E(x61951,x61952)+E(f289(a920,f286(a920),x61951,x61952),f326(f326(f308(a920),x61953),f189(f928(a920,a916))))
% 163.42/163.16 [6202]~E(f326(x62022,f891(x62022,x62023,x62021)),f2(a920))+E(f326(f326(f8(x62021,a920),x62022),x62023),f2(a920))+~P106(f326(f60(x62021),x62023))
% 163.42/163.16 [6203]~E(f326(x62032,f797(x62032,x62033,x62031)),f77(a920))+E(f326(f326(f11(x62031,a920),x62032),x62033),f77(a920))+~P106(f326(f60(x62031),x62033))
% 163.42/163.16 [6219]~P108(x62191)+~P106(f326(f326(f234(x62191),x62193),x62192))+P106(f326(f326(f328(x62191),x62192),f326(f282(x62191),x62193)))
% 163.42/163.16 [6220]~P108(x62201)+~P106(f326(f326(f235(x62201),x62203),x62202))+P106(f326(f326(f328(x62201),x62202),f326(f303(x62201),x62203)))
% 163.42/163.16 [6221]~P108(x62211)+~P106(f326(f326(f235(x62211),x62212),x62213))+P106(f326(f326(f328(x62211),x62212),f326(f281(x62211),x62213)))
% 163.42/163.16 [6222]~P108(x62221)+~P106(f326(f326(f234(x62221),x62222),x62223))+P106(f326(f326(f328(x62221),x62222),f326(f300(x62221),x62223)))
% 163.42/163.16 [6223]~P120(x62231)+~P106(f326(f326(f286(x62231),x62232),x62233))+P106(f326(f326(f286(x62231),x62232),f326(f75(x62231),x62233)))
% 163.42/163.16 [6224]~P115(x62241)+~P106(f326(f326(f286(x62241),x62242),x62243))+P106(f326(f326(f286(x62241),x62242),f326(f78(x62241),x62243)))
% 163.42/163.16 [6236]E(f326(x62361,f892(x62361,x62362,x62363)),f326(a112,f2(a920)))+~E(f326(f326(f8(x62363,a920),x62361),x62362),f326(a112,f2(a920)))+~P106(f326(f60(x62363),x62362))
% 163.42/163.16 [6323]~P6(x63231)+~P106(f326(f326(f328(x63231),x63233),x63232))+P106(f326(f326(f234(x63231),f37(x63231,x63232)),x63233))
% 163.42/163.16 [6343]~P106(f326(f326(f234(a920),x63431),x63433))+P106(f326(f326(f234(a920),x63431),x63432))+~P106(f326(f326(f234(a920),x63433),x63432))
% 163.42/163.16 [6344]~P106(f326(f326(f234(a1),x63441),x63443))+P106(f326(f326(f234(a1),x63441),x63442))+~P106(f326(f326(f234(a1),x63443),x63442))
% 163.42/163.16 [6364]~P108(x63641)+~P106(f326(f326(f328(x63641),x63643),f326(f282(x63641),x63642)))+P106(f326(f326(f234(x63641),x63642),x63643))
% 163.42/163.16 [6365]~P108(x63651)+~P106(f326(f326(f328(x63651),x63652),f326(f300(x63651),x63653)))+P106(f326(f326(f234(x63651),x63652),x63653))
% 163.42/163.16 [6366]~P108(x63661)+~P106(f326(f326(f328(x63661),x63663),f326(f303(x63661),x63662)))+P106(f326(f326(f235(x63661),x63662),x63663))
% 163.42/163.16 [6367]~P108(x63671)+~P106(f326(f326(f328(x63671),x63672),f326(f281(x63671),x63673)))+P106(f326(f326(f235(x63671),x63672),x63673))
% 163.42/163.16 [6368]~P120(x63681)+~P106(f326(f326(f286(x63681),x63682),f326(f75(x63681),x63683)))+P106(f326(f326(f286(x63681),x63682),x63683))
% 163.42/163.16 [6369]~P115(x63691)+~P106(f326(f326(f286(x63691),x63692),f326(f78(x63691),x63693)))+P106(f326(f326(f286(x63691),x63692),x63693))
% 163.42/163.16 [6442]~P106(f326(x64421,x64422))+P106(f326(x64421,f783(x64421)))+~P106(f326(f326(f328(x64423),x64422),f241(f928(x64423,a916))))
% 163.42/163.16 [6588]~P67(x65881)+P106(f326(f326(f235(x65881),f2(x65881)),f908(x65883,x65882,x65881)))+P106(f326(f326(f234(x65881),x65882),x65883))
% 163.42/163.16 [6589]~P68(x65891)+P106(f326(f326(f235(x65891),f2(x65891)),f339(x65893,x65892,x65891)))+P106(f326(f326(f234(x65891),x65892),x65893))
% 163.42/163.16 [6655]~P80(x66551)+~P106(f326(f326(f234(x66551),x66553),f326(f78(x66551),x66552)))+P106(f326(f326(f234(x66551),x66552),f326(f78(x66551),x66553)))
% 163.42/163.16 [6657]~P80(x66571)+~P106(f326(f326(f235(x66571),x66573),f326(f78(x66571),x66572)))+P106(f326(f326(f235(x66571),x66572),f326(f78(x66571),x66573)))
% 163.42/163.16 [6669]~P106(f326(f326(f235(a920),x66691),x66693))+~P106(f326(f326(f235(a920),x66693),x66692))+P106(f326(f326(f235(a920),f326(a112,x66691)),x66692))
% 163.42/163.16 [6697]~P127(x66971)+P106(f326(f326(f234(x66971),f326(f100(x66971),x66972)),f326(f100(x66971),x66973)))+~P106(f326(f326(f234(a920),x66972),x66973))
% 163.42/163.16 [6698]~P120(x66981)+P106(f326(f326(f234(x66981),f326(f102(x66981),x66982)),f326(f102(x66981),x66983)))+~P106(f326(f326(f234(a1),x66982),x66983))
% 163.42/163.16 [6700]~P120(x67001)+P106(f326(f326(f235(x67001),f326(f102(x67001),x67002)),f326(f102(x67001),x67003)))+~P106(f326(f326(f235(a1),x67002),x67003))
% 163.42/163.16 [6701]~P127(x67011)+P106(f326(f326(f235(x67011),f326(f100(x67011),x67012)),f326(f100(x67011),x67013)))+~P106(f326(f326(f235(a920),x67012),x67013))
% 163.42/163.16 [6707]~P109(x67071)+E(f326(f326(f110(f928(x67071,a916)),f326(f281(x67071),x67072)),f326(f301(x67071,x67072),x67073)),f326(f281(x67071),x67073))+~P106(f326(f326(f234(x67071),x67072),x67073))
% 163.42/163.16 [6737]~P80(x67371)+~P106(f326(f326(f234(x67371),x67373),x67372))+P106(f326(f326(f234(x67371),f326(f78(x67371),x67372)),f326(f78(x67371),x67373)))
% 163.42/163.16 [6739]~P96(x67391)+~P106(f326(f326(f234(x67391),x67393),x67392))+P106(f326(f326(f234(x67391),f326(f78(x67391),x67392)),f326(f78(x67391),x67393)))
% 163.42/163.16 [6740]~P80(x67401)+~P106(f326(f326(f235(x67401),x67403),x67402))+P106(f326(f326(f235(x67401),f326(f78(x67401),x67402)),f326(f78(x67401),x67403)))
% 163.42/163.16 [6776]~P109(x67761)+E(f326(f326(f110(f928(x67761,a916)),f326(f281(x67761),x67762)),f302(x67761,x67762,x67763)),f326(f300(x67761),x67763))+~P106(f326(f326(f234(x67761),x67762),x67763))
% 163.42/163.16 [6777]~P109(x67771)+E(f326(f326(f110(f928(x67771,a916)),f326(f300(x67771),x67772)),f305(x67771,x67772,x67773)),f326(f281(x67771),x67773))+~P106(f326(f326(f235(x67771),x67772),x67773))
% 163.42/163.16 [6778]~P109(x67781)+E(f326(f326(f110(f928(x67781,a916)),f326(f300(x67781),x67782)),f304(x67781,x67782,x67783)),f326(f300(x67781),x67783))+~P106(f326(f326(f234(x67781),x67782),x67783))
% 163.42/163.16 [6811]~P109(x68111)+E(f326(f326(f110(f928(x68111,a916)),f326(f301(x68111,x68112),x68113)),f326(f282(x68111),x68113)),f326(f282(x68111),x68112))+~P106(f326(f326(f234(x68111),x68112),x68113))
% 163.42/163.16 [6966]~P109(x69661)+E(f326(f326(f110(f928(x69661,a916)),f302(x69661,x69662,x69663)),f326(f303(x69661),x69663)),f326(f282(x69661),x69662))+~P106(f326(f326(f234(x69661),x69662),x69663))
% 163.42/163.16 [6967]~P109(x69671)+E(f326(f326(f110(f928(x69671,a916)),f305(x69671,x69672,x69673)),f326(f282(x69671),x69673)),f326(f303(x69671),x69672))+~P106(f326(f326(f235(x69671),x69672),x69673))
% 163.42/163.16 [6968]~P109(x69681)+E(f326(f326(f110(f928(x69681,a916)),f304(x69681,x69682,x69683)),f326(f303(x69681),x69683)),f326(f303(x69681),x69682))+~P106(f326(f326(f234(x69681),x69682),x69683))
% 163.42/163.16 [6987]P106(f326(x69871,x69872))+~P106(f326(f326(f234(a920),x69872),x69873))+P106(f326(f326(f328(a920),f437(x69871,x69873)),f302(a920,f2(a920),x69873)))
% 163.42/163.16 [7021]E(x70211,x70212)+~E(f326(f326(f164(x70213),x70211),f639(x70213,x70212,x70211)),f326(f326(f164(x70213),x70212),f639(x70213,x70212,x70211)))+~E(f326(f190(f921(x70213)),x70211),f326(f190(f921(x70213)),x70212))
% 163.42/163.16 [7026]~E(x70263,f326(f326(f35(a920),x70261),x70262))+~P106(f326(f326(f235(a920),f2(a920)),x70262))+P106(f326(f326(f235(a920),x70261),f326(f326(f80(a920),x70262),f326(a112,x70263))))
% 163.42/163.16 [7042]~P106(f326(x70421,x70423))+~P106(f326(f326(f234(a920),x70423),x70422))+P106(f326(f326(f328(a920),f433(x70421,x70422)),f302(a920,f2(a920),x70422)))
% 163.42/163.16 [7081]~P106(f326(x70811,x70813))+P106(f326(x70811,f438(x70811,x70812)))+~P106(f326(f326(f328(a920),x70813),f302(a920,f2(a920),x70812)))
% 163.42/163.16 [7100]~P127(x71003)+~P106(f326(f326(f234(x71003),f326(f100(x71003),x71001)),f326(f100(x71003),x71002)))+P106(f326(f326(f234(a920),x71001),x71002))
% 163.42/163.16 [7101]~P120(x71013)+~P106(f326(f326(f234(x71013),f326(f102(x71013),x71011)),f326(f102(x71013),x71012)))+P106(f326(f326(f234(a1),x71011),x71012))
% 163.42/163.16 [7103]~P127(x71033)+~P106(f326(f326(f235(x71033),f326(f100(x71033),x71031)),f326(f100(x71033),x71032)))+P106(f326(f326(f235(a920),x71031),x71032))
% 163.42/163.16 [7104]~P120(x71043)+~P106(f326(f326(f235(x71043),f326(f102(x71043),x71041)),f326(f102(x71043),x71042)))+P106(f326(f326(f235(a1),x71041),x71042))
% 163.42/163.16 [7120]~P127(x71201)+~P106(f326(f326(f235(x71201),f77(x71201)),x71202))+P106(f326(f326(f235(x71201),f77(x71201)),f326(f326(f243(x71201),x71202),f326(a112,x71203))))
% 163.42/163.16 [7123]~P80(x71231)+~P106(f326(f326(f234(x71231),f326(f78(x71231),x71233)),f326(f78(x71231),x71232)))+P106(f326(f326(f234(x71231),x71232),x71233))
% 163.42/163.16 [7124]~P96(x71241)+~P106(f326(f326(f234(x71241),f326(f78(x71241),x71243)),f326(f78(x71241),x71242)))+P106(f326(f326(f234(x71241),x71242),x71243))
% 163.42/163.16 [7125]~P80(x71251)+~P106(f326(f326(f235(x71251),f326(f78(x71251),x71253)),f326(f78(x71251),x71252)))+P106(f326(f326(f235(x71251),x71252),x71253))
% 163.42/163.16 [7149]P106(f326(x71491,x71492))+~P106(f326(x71491,f439(x71491,x71493)))+~P106(f326(f326(f328(a920),x71492),f302(a920,f2(a920),x71493)))
% 163.42/163.16 [7170]~P67(x71701)+P106(f326(f326(f235(x71701),f908(x71703,x71702,x71701)),f77(x71701)))+P106(f326(f326(f234(x71701),x71702),x71703))
% 163.42/163.16 [7189]~E(f44(a920,x71893,x71892),f44(a920,x71891,x71892))+E(f326(f326(f79(a920),x71891),f326(f326(f80(a920),x71892),f379(x71891,x71892,x71893))),x71893)+~P106(f326(f326(f234(a920),x71891),x71893))
% 163.42/163.16 [7245]E(f326(f326(f8(x72451,a920),x72452),x72453),f2(a920))+~P106(f326(f60(x72451),x72453))+P106(f326(f326(f328(x72451),f891(x72452,x72453,x72451)),x72453))
% 163.42/163.16 [7246]E(f326(f326(f11(x72461,a920),x72462),x72463),f77(a920))+~P106(f326(f60(x72461),x72463))+P106(f326(f326(f328(x72461),f797(x72462,x72463,x72461)),x72463))
% 163.42/163.16 [7268]~P109(x72681)+~P106(f326(f326(f234(x72681),x72682),x72683))+P106(f326(f326(f234(f928(x72681,a916)),f326(f281(x72681),x72682)),f326(f281(x72681),x72683)))
% 163.42/163.16 [7269]~P110(x72691)+~P106(f326(f326(f234(x72691),x72692),x72693))+P106(f326(f326(f234(f928(x72691,a916)),f326(f300(x72691),x72692)),f326(f300(x72691),x72693)))
% 163.42/163.16 [7270]~P110(x72701)+~P106(f326(f326(f234(x72701),x72703),x72702))+P106(f326(f326(f234(f928(x72701,a916)),f326(f282(x72701),x72702)),f326(f282(x72701),x72703)))
% 163.42/163.16 [7271]~P109(x72711)+~P106(f326(f326(f234(x72711),x72713),x72712))+P106(f326(f326(f234(f928(x72711,a916)),f326(f303(x72711),x72712)),f326(f303(x72711),x72713)))
% 163.42/163.16 [7272]~P109(x72721)+~P106(f326(f326(f235(x72721),x72722),x72723))+P106(f326(f326(f235(f928(x72721,a916)),f326(f281(x72721),x72722)),f326(f281(x72721),x72723)))
% 163.42/163.16 [7283]~P6(x72831)+P106(f326(f326(f234(x72831),x72832),f37(x72831,x72833)))+P106(f326(f326(f328(x72831),f381(x72833,x72832,x72831)),x72833))
% 163.42/163.16 [7289]~P80(x72891)+P106(f326(f326(f234(x72891),f326(f326(f3(x72891),x72892),x72893)),f2(x72891)))+~P106(f326(f326(f234(x72891),x72892),x72893))
% 163.42/163.16 [7290]~P80(x72901)+P106(f326(f326(f235(x72901),f326(f326(f3(x72901),x72902),x72903)),f2(x72901)))+~P106(f326(f326(f235(x72901),x72902),x72903))
% 163.42/163.16 [7332]P106(f326(x73321,x73322))+P106(f326(f326(f234(a920),f439(x73321,x73323)),x73323))+~P106(f326(f326(f328(a920),x73322),f302(a920,f2(a920),x73323)))
% 163.42/163.16 [7374]~E(f326(f326(f8(x73741,a920),x73742),x73743),f77(a920))+~P106(f326(f60(x73741),x73743))+P106(f326(f326(f328(x73741),f890(x73742,x73743,x73741)),x73743))
% 163.42/163.16 [7375]~P106(f326(x73751,x73753))+P106(f326(f326(f234(a920),f438(x73751,x73752)),x73752))+~P106(f326(f326(f328(a920),x73753),f302(a920,f2(a920),x73752)))
% 163.42/163.16 [7415]~P6(x74151)+P106(f326(f326(f328(x74151),f880(x74153,x74152,x74151)),x74152))+P106(f326(f326(f234(x74151),f36(x74151,x74152)),x74153))
% 163.42/163.16 [7449]~E(f326(f326(f8(x74491,a920),x74492),x74493),f326(a112,f2(a920)))+~P106(f326(f60(x74491),x74493))+P106(f326(f326(f328(x74491),f892(x74492,x74493,x74491)),x74493))
% 163.42/163.16 [7460]E(x74601,f2(a920))+P106(f326(x74602,f44(a920,x74603,x74601)))+P106(f326(f326(f235(a920),f364(x74601,x74603,x74602)),x74601))
% 163.42/163.16 [7569]~P106(f326(x75691,x75692))+P106(f326(x75691,f44(a920,x75692,x75693)))+P106(f326(f326(f235(a920),f364(x75693,x75692,x75691)),x75693))
% 163.42/163.16 [7683]E(x76831,f113(x76832))+~P106(f326(f326(f328(f921(x76832)),x76831),f161(x76832,x76833)))+P106(f326(f326(f328(x76832),f690(x76833,x76831,x76832)),x76833))
% 163.42/163.16 [7705]~P109(x77051)+E(f326(f326(f110(f928(x77051,a916)),f326(f326(f308(x77051),x77052),f189(f928(x77051,a916)))),f305(x77051,x77052,x77053)),f326(f301(x77051,x77052),x77053))+~P106(f326(f326(f235(x77051),x77052),x77053))
% 163.42/163.16 [7727]~P109(x77271)+E(f326(f326(f110(f928(x77271,a916)),f326(f326(f308(x77271),x77272),f189(f928(x77271,a916)))),f304(x77271,x77272,x77273)),f302(x77271,x77272,x77273))+~P106(f326(f326(f234(x77271),x77272),x77273))
% 163.42/163.16 [7837]~P109(x78371)+P106(f326(f326(f234(x78371),x78372),x78373))+~P106(f326(f326(f234(f928(x78371,a916)),f326(f303(x78371),x78373)),f326(f303(x78371),x78372)))
% 163.42/163.16 [7838]~P110(x78381)+P106(f326(f326(f234(x78381),x78382),x78383))+~P106(f326(f326(f234(f928(x78381,a916)),f326(f282(x78381),x78383)),f326(f282(x78381),x78382)))
% 163.42/163.16 [7839]~P109(x78391)+P106(f326(f326(f234(x78391),x78392),x78393))+~P106(f326(f326(f234(f928(x78391,a916)),f326(f281(x78391),x78392)),f326(f281(x78391),x78393)))
% 163.42/163.16 [7840]~P110(x78401)+P106(f326(f326(f234(x78401),x78402),x78403))+~P106(f326(f326(f234(f928(x78401,a916)),f326(f300(x78401),x78402)),f326(f300(x78401),x78403)))
% 163.42/163.16 [7841]~P109(x78411)+P106(f326(f326(f235(x78411),x78412),x78413))+~P106(f326(f326(f235(f928(x78411,a916)),f326(f281(x78411),x78412)),f326(f281(x78411),x78413)))
% 163.42/163.16 [7864]~P80(x78641)+~P106(f326(f326(f234(x78641),f326(f326(f3(x78641),x78642),x78643)),f2(x78641)))+P106(f326(f326(f234(x78641),x78642),x78643))
% 163.42/163.16 [7865]~P80(x78651)+~P106(f326(f326(f235(x78651),f326(f326(f3(x78651),x78652),x78653)),f2(x78651)))+P106(f326(f326(f235(x78651),x78652),x78653))
% 163.42/163.16 [8019]E(x80191,f2(a920))+~E(f326(f142(a920,a920,f79(a920),x80192),x80193),f2(a920))+~P106(f326(f326(f328(a920),x80191),f326(f172(a920),x80193)))
% 163.42/163.16 [8023]~P6(x80231)+~P106(f326(f326(f234(x80231),f880(x80233,x80232,x80231)),x80233))+P106(f326(f326(f234(x80231),f36(x80231,x80232)),x80233))
% 163.42/163.16 [8178]P106(f326(f326(f234(a1),f2(a1)),f373(x81781,x81782,x81783)))+P106(f326(f326(x81782,f326(f326(f35(a1),x81781),x81783)),f44(a1,x81781,x81783)))+~P106(f326(f326(f235(a1),f2(a1)),x81783))
% 163.42/163.16 [8266]E(x82661,x82662)+~E(f326(f190(f921(x82663)),x82661),f326(f190(f921(x82663)),x82662))+~P106(f326(f326(f256(x82663,x82663,a916),a323),f665(x82663,x82661,x82662)))
% 163.42/163.16 [8336]~P39(x83362,x83363)+E(x83361,f189(f928(x83362,a916)))+~P106(f326(f326(f234(f928(x83362,a916)),x83361),f326(f284(x83362,x83362,x83363),x83361)))
% 163.42/163.16 [8367]~P68(x83671)+~P106(f326(f326(f234(x83671),x83672),f326(f326(f79(x83671),x83673),f339(x83673,x83672,x83671))))+P106(f326(f326(f234(x83671),x83672),x83673))
% 163.42/163.16 [8402]P54(x84021,x84022,x84023)+P106(f326(f326(f328(x84021),f574(x84023,x84022,x84021)),x84022))+P106(f326(f326(f328(f927(x84021,x84021)),f575(x84023,x84022,x84021)),x84023))
% 163.42/163.16 [8423]P106(f326(f326(x84232,f326(f326(f35(a1),x84231),x84233)),f44(a1,x84231,x84233)))+~P106(f326(f326(f235(a1),f2(a1)),x84233))+P106(f326(f326(f235(a1),f373(x84231,x84232,x84233)),x84233))
% 163.42/163.16 [8447]E(f326(f309(a920,a920,f326(f326(f9(a920,a920,a920),f3(a920)),x84471)),f326(f301(a920,x84472),x84473)),f189(f928(a920,a916)))+P106(f326(f326(f235(a920),x84471),x84473))+P106(f326(f326(f235(a920),x84472),x84473))
% 163.42/163.16 [8557]E(f326(f309(a920,a920,f326(f326(f9(a920,a920,a920),f3(a920)),x85571)),f326(f301(a920,x85572),x85573)),f326(f326(f308(a920),f2(a920)),f189(f928(a920,a916))))+P106(f326(f326(f235(a920),x85571),x85573))+~P106(f326(f326(f235(a920),x85572),x85573))
% 163.42/163.16 [8571]~P109(x85711)+E(f149(x85711,x85711,f7(x85711),x85712,x85713),x85713)+~P106(f326(f326(f328(x85711),x85712),f326(f172(x85711),x85713)))
% 163.42/163.16 [8584]P26(x85841,x85841,x85842,x85843)+~P106(f326(f60(x85841),x85843))+~P106(f326(f326(f234(f928(x85841,a916)),x85843),f326(f309(x85841,x85841,x85842),x85843)))
% 163.42/163.16 [8610]E(f326(f326(f79(a1),f326(f326(f80(a1),x86101),f374(x86102,x86103,x86101))),f373(x86102,x86103,x86101)),x86102)+P106(f326(f326(x86103,f326(f326(f35(a1),x86102),x86101)),f44(a1,x86102,x86101)))+~P106(f326(f326(f235(a1),f2(a1)),x86101))
% 163.42/163.16 [8848]~P106(f326(f326(x88481,f374(x88482,x88481,x88483)),f373(x88482,x88481,x88483)))+P106(f326(f326(x88481,f326(f326(f35(a1),x88482),x88483)),f44(a1,x88482,x88483)))+~P106(f326(f326(f235(a1),f2(a1)),x88483))
% 163.42/163.16 [9742]~P106(f326(f60(x97421),x97422))+~P106(f326(f326(f328(x97421),x97423),x97422))+P106(f326(f326(f235(a920),f326(f34(x97421),f326(f326(f3(f928(x97421,a916)),x97422),f326(f326(f308(x97421),x97423),f189(f928(x97421,a916)))))),f326(f34(x97421),x97422)))
% 163.42/163.16 [10347]P54(x103471,x103472,x103473)+~P106(f326(f326(f256(x103471,x103471,a916),f326(f326(f9(x103471,f928(x103471,a916),f928(x103471,a916)),f326(f326(f10(f928(a916,a916),f928(f928(x103471,a916),f928(x103471,a916)),x103471),f10(a916,a916,x103471)),f326(f326(f10(a916,f928(a916,a916),x103471),a324),f326(f326(f9(x103471,f928(x103471,a916),a916),f328(x103471)),x103472)))),f326(f326(f9(x103471,f928(x103471,a916),a916),f328(x103471)),x103472))),f575(x103473,x103472,x103471)))+P106(f326(f326(f328(x103471),f574(x103473,x103472,x103471)),x103472))
% 163.42/163.16 [5675]~P124(x56752)+E(x56751,f2(x56752))+E(f326(f326(f290(x56752),x56753),f326(f78(x56752),x56751)),f326(f78(x56752),f326(f326(f290(x56752),x56753),x56751)))
% 163.42/163.16 [5816]~E(x58163,f189(f928(x58161,a916)))+~E(x58162,f189(f928(x58161,a916)))+E(f326(f326(f110(f928(x58161,a916)),x58162),x58163),f189(f928(x58161,a916)))
% 163.42/163.16 [5874]~E(x58743,f2(a920))+~P106(f326(x58741,f2(a920)))+P106(f326(x58741,f326(f326(f35(a920),x58742),x58743)))
% 163.42/163.16 [6017]~P68(x60172)+E(x60171,f2(x60172))+E(f326(f326(f290(x60172),f326(f75(x60172),x60173)),f326(f75(x60172),x60171)),f326(f75(x60172),f326(f326(f290(x60172),x60173),x60171)))
% 163.42/163.16 [6136]~P62(x61361)+E(f326(f326(f80(x61361),x61362),f326(f326(f35(x61361),x61363),x61362)),x61363)+~P106(f326(f326(f286(x61361),x61362),x61363))
% 163.42/163.16 [6191]~P106(f326(f60(x61911),x61913))+E(f326(f34(x61911),f326(f326(f308(x61911),x61912),x61913)),f326(a112,f326(f34(x61911),x61913)))+P106(f326(f326(f328(x61911),x61912),x61913))
% 163.42/163.16 [6271]~E(x62712,f2(a920))+P106(f326(x62711,f2(a920)))+~P106(f326(x62711,f326(f326(f35(a920),x62713),x62712)))
% 163.42/163.16 [6288]~P106(f326(f60(x62881),x62883))+E(f326(f34(x62881),f326(f326(f308(x62881),x62882),x62883)),f326(f34(x62881),x62883))+~P106(f326(f326(f328(x62881),x62882),x62883))
% 163.42/163.16 [6325]~P106(f326(f60(x63251),x63253))+E(f326(f34(x63251),f326(f326(f308(x63251),x63252),x63253)),f326(f326(f79(a920),f77(a920)),f326(f34(x63251),x63253)))+P106(f326(f326(f328(x63251),x63252),x63253))
% 163.42/163.16 [6332]~P63(x63321)+E(f326(f326(f35(x63321),x63322),f326(f78(x63321),x63323)),f326(f78(x63321),f326(f326(f35(x63321),x63322),x63323)))+~P106(f326(f326(f286(x63321),x63323),x63322))
% 163.42/163.16 [6443]E(f326(f326(f79(a920),x64431),f893(x64431,x64432,x64433)),x64432)+~P106(f326(x64433,f2(a920)))+P106(f326(x64433,f326(f326(f3(a920),x64432),x64431)))
% 163.42/163.16 [6444]E(f326(f326(f79(a920),x64441),f894(x64441,x64442,x64443)),x64442)+~P106(f326(x64443,f2(a920)))+P106(f326(x64443,f326(f326(f3(a920),x64442),x64441)))
% 163.42/163.16 [6467]~P63(x64671)+E(f326(f326(f35(x64671),f326(f78(x64671),x64672)),x64673),f326(f78(x64671),f326(f326(f35(x64671),x64672),x64673)))+~P106(f326(f326(f286(x64671),x64673),x64672))
% 163.42/163.16 [6491]~P6(x64911)+~P106(f326(f60(x64911),x64913))+E(f326(f326(f63(x64911,x64911,f110(x64911)),x64912),x64913),f326(f326(f110(x64911),x64912),f36(x64911,x64913)))
% 163.42/163.16 [6492]~P6(x64921)+~P106(f326(f60(x64921),x64923))+E(f326(f326(f63(x64921,x64921,f101(x64921)),x64922),x64923),f326(f326(f101(x64921),x64922),f37(x64921,x64923)))
% 163.42/163.16 [6498]~P94(x64981)+~E(f326(f103(x64981),x64982),f326(f103(x64981),x64983))+P29(x64981,f326(f103(x64981),f326(f326(f79(a1),x64982),f326(f78(a1),x64983))))
% 163.42/163.16 [6507]~P143(x65071)+E(f326(f326(f3(x65071),f326(f100(x65071),x65072)),f326(f100(x65071),x65073)),f326(f100(x65071),f326(f326(f3(a920),x65072),x65073)))+~P106(f326(f326(f234(a920),x65073),x65072))
% 163.42/163.16 [6514]~P120(x65141)+~P106(f326(f326(f286(x65141),x65142),x65143))+P106(f326(f326(f286(x65141),f326(f75(x65141),x65142)),x65143))
% 163.42/163.16 [6515]~P115(x65151)+~P106(f326(f326(f286(x65151),x65152),x65153))+P106(f326(f326(f286(x65151),f326(f78(x65151),x65152)),x65153))
% 163.42/163.16 [6599]E(f326(f326(f79(a920),x65991),f893(x65991,x65992,x65993)),x65992)+P106(f326(f326(f235(a920),x65992),x65991))+P106(f326(x65993,f326(f326(f3(a920),x65992),x65991)))
% 163.42/163.16 [6600]E(f326(f326(f79(a920),x66001),f894(x66001,x66002,x66003)),x66002)+P106(f326(f326(f235(a920),x66002),x66001))+P106(f326(x66003,f326(f326(f3(a920),x66002),x66001)))
% 163.42/163.16 [6614]~P120(x66141)+E(f326(f326(f80(x66141),f326(f75(x66141),x66142)),x66143),f326(f75(x66141),f326(f326(f80(x66141),x66142),x66143)))+~P106(f326(f326(f234(x66141),f2(x66141)),x66143))
% 163.42/163.16 [6615]~P67(x66151)+E(f326(f326(f290(x66151),f326(f75(x66151),x66152)),x66153),f326(f75(x66151),f326(f326(f290(x66151),x66152),x66153)))+~P106(f326(f326(f235(x66151),f2(x66151)),x66153))
% 163.42/163.16 [6623]~P2(x66231)+~P106(f326(f60(x66231),x66233))+E(f326(f326(f63(x66231,x66231,f110(x66231)),x66232),x66233),f12(x66231,f326(f326(f308(x66231),x66232),x66233)))
% 163.42/163.16 [6624]~P2(x66241)+~P106(f326(f60(x66241),x66243))+E(f326(f326(f63(x66241,x66241,f101(x66241)),x66242),x66243),f13(x66241,f326(f326(f308(x66241),x66242),x66243)))
% 163.42/163.16 [6625]~P109(x66251)+~P106(f326(f60(x66251),x66253))+E(f326(f326(f63(x66251,x66251,f188(x66251)),x66252),x66253),f16(x66251,f326(f326(f308(x66251),x66252),x66253)))
% 163.42/163.16 [6626]~P109(x66261)+~P106(f326(f60(x66261),x66263))+E(f326(f326(f63(x66261,x66261,f233(x66261)),x66262),x66263),f17(x66261,f326(f326(f308(x66261),x66262),x66263)))
% 163.42/163.16 [6671]E(x66711,f113(x66712))+~E(f179(x66712,x66713),f113(f921(x66712)))+~P106(f326(f326(f328(f921(x66712)),x66711),f326(f172(f921(x66712)),x66713)))
% 163.42/163.16 [6715]~P106(f326(f137(x67151),x67153))+P106(f326(f326(f328(x67151),x67152),f326(f172(x67151),x67153)))+P106(f326(f137(x67151),f326(f326(f151(x67151),x67152),x67153)))
% 163.42/163.16 [6726]~P97(x67261)+~P106(f326(f60(x67261),x67263))+E(f326(f62(x67261,f80(x67261)),f326(f326(f308(x67261),x67262),x67263)),f326(f326(f63(x67261,x67261,f80(x67261)),x67262),x67263))
% 163.42/163.16 [6748]~P109(x67481)+~P106(f326(f60(x67481),x67483))+E(f14(x67481,f188(x67481),f326(f326(f308(x67481),x67482),x67483)),f326(f326(f63(x67481,x67481,f188(x67481)),x67482),x67483))
% 163.42/163.16 [6749]~P109(x67491)+~P106(f326(f60(x67491),x67493))+E(f15(x67491,f233(x67491),f326(f326(f308(x67491),x67492),x67493)),f326(f326(f63(x67491,x67491,f233(x67491)),x67492),x67493))
% 163.42/163.16 [6751]P106(f326(x67511,f2(a920)))+~P106(f326(f326(f235(a920),x67512),x67513))+~P106(f326(x67511,f326(f326(f3(a920),x67512),x67513)))
% 163.42/163.16 [6772]~P87(x67721)+P106(f326(f326(f234(x67721),x67722),x67723))+~P106(f326(f326(f234(x67721),f326(f75(x67721),x67722)),x67723))
% 163.42/163.16 [6773]~P120(x67731)+P106(f326(f326(f235(x67731),x67732),x67733))+~P106(f326(f326(f235(x67731),f326(f75(x67731),x67732)),x67733))
% 163.42/163.16 [6774]~P120(x67741)+P106(f326(f326(f286(x67741),x67742),x67743))+~P106(f326(f326(f286(x67741),f326(f75(x67741),x67742)),x67743))
% 163.42/163.16 [6775]~P115(x67751)+P106(f326(f326(f286(x67751),x67752),x67753))+~P106(f326(f326(f286(x67751),f326(f78(x67751),x67752)),x67753))
% 163.42/163.16 [6792]E(x67921,f113(x67922))+E(f326(f141(x67922),f326(f326(f138(x67922),x67923),x67921)),f326(f326(f164(x67922),x67921),x67923))+~P106(f326(f326(f235(a920),x67923),f326(f190(f921(x67922)),x67921)))
% 163.42/163.16 [6844]~P106(f326(x68441,x68443))+P106(f326(x68441,f491(x68441,x68442)))+~P106(f326(f326(f328(a920),x68443),f326(f301(a920,f2(a920)),x68442)))
% 163.42/163.16 [6864]P106(f326(x68641,x68642))+~P106(f326(f326(f235(a920),x68642),x68643))+P106(f326(f326(f328(a920),f490(x68641,x68643)),f326(f301(a920,f2(a920)),x68643)))
% 163.42/163.16 [6879]~P127(x68791)+~P106(f326(f326(f234(x68791),f77(x68791)),x68792))+P106(f326(f326(f234(x68791),f77(x68791)),f326(f326(f243(x68791),x68792),x68793)))
% 163.42/163.16 [6881]~P127(x68811)+~P106(f326(f326(f234(x68811),f2(x68811)),x68812))+P106(f326(f326(f234(x68811),f2(x68811)),f326(f326(f243(x68811),x68812),x68813)))
% 163.42/163.16 [6883]~P127(x68831)+~P106(f326(f326(f235(x68831),f2(x68831)),x68832))+P106(f326(f326(f235(x68831),f2(x68831)),f326(f326(f243(x68831),x68832),x68833)))
% 163.42/163.16 [6907]~P106(f326(x69071,x69073))+~P106(f326(f326(f235(a920),x69073),x69072))+P106(f326(f326(f328(a920),f483(x69071,x69072)),f326(f301(a920,f2(a920)),x69072)))
% 163.42/163.16 [6915]P106(f326(f60(x69151),x69152))+~P106(f326(f60(x69151),x69153))+~P106(f326(f326(f234(f928(x69151,a916)),x69152),x69153))
% 163.42/163.16 [6922]~P106(f326(f326(f286(a920),x69221),x69222))+~P106(f326(f326(f286(a920),x69221),x69223))+P106(f326(f326(f286(a920),x69221),f326(f326(f3(a920),x69222),x69223)))
% 163.42/163.16 [6923]P106(f326(x69231,x69232))+~P106(f326(x69231,f492(x69231,x69233)))+~P106(f326(f326(f328(a920),x69232),f326(f301(a920,f2(a920)),x69233)))
% 163.42/163.16 [6936]E(x69361,f2(a920))+P106(f326(x69362,f370(x69361,x69363,x69362)))+~P106(f326(x69362,f326(f326(f35(a920),x69363),x69361)))
% 163.42/163.16 [6943]~P129(x69432)+E(x69431,f2(x69432))+~E(f326(f326(f79(x69432),f326(f326(f80(x69432),x69433),x69433)),f326(f326(f80(x69432),x69431),x69431)),f2(x69432))
% 163.42/163.16 [6944]~P129(x69442)+E(x69441,f2(x69442))+~E(f326(f326(f79(x69442),f326(f326(f80(x69442),x69441),x69441)),f326(f326(f80(x69442),x69443),x69443)),f2(x69442))
% 163.42/163.16 [6988]E(x69881,f2(a920))+~P106(f326(x69882,f371(x69881,x69883,x69882)))+P106(f326(x69882,f326(f326(f35(a920),x69883),x69881)))
% 163.42/163.16 [6993]~P109(x69931)+~P14(x69931,x69933)+P14(x69931,f326(f326(f148(x69931,x69931,f7(x69931)),x69932),x69933))
% 163.42/163.16 [7035]P106(f326(x70351,f370(x70352,x70353,x70351)))+P106(f326(x70351,f2(a920)))+~P106(f326(x70351,f326(f326(f35(a920),x70353),x70352)))
% 163.42/163.16 [7041]~P94(x70411)+E(f326(f103(x70411),x70412),f326(f103(x70411),x70413))+~P29(x70411,f326(f103(x70411),f326(f326(f79(a1),x70412),f326(f78(a1),x70413))))
% 163.42/163.16 [7107]E(x71071,f2(a1))+E(x71072,f2(a1))+~P106(f326(f48(x71072,x71072),f326(f326(f251(a1,a1),x71073),x71071)))
% 163.42/163.16 [7108]E(x71081,f77(a1))+E(x71082,f2(a1))+~P106(f326(f48(x71082,x71082),f326(f326(f251(a1,a1),x71081),x71083)))
% 163.42/163.16 [7122]P106(f326(x71221,x71222))+P106(f326(f326(f235(a920),f492(x71221,x71223)),x71223))+~P106(f326(f326(f328(a920),x71222),f326(f301(a920,f2(a920)),x71223)))
% 163.42/163.16 [7145]~P106(f326(x71451,f893(x71453,x71452,x71451)))+~P106(f326(x71451,f2(a920)))+P106(f326(x71451,f326(f326(f3(a920),x71452),x71453)))
% 163.42/163.16 [7146]~P106(f326(x71461,f894(x71463,x71462,x71461)))+~P106(f326(x71461,f2(a920)))+P106(f326(x71461,f326(f326(f3(a920),x71462),x71463)))
% 163.42/163.16 [7147]~P106(f326(x71471,f371(x71473,x71472,x71471)))+~P106(f326(x71471,f2(a920)))+P106(f326(x71471,f326(f326(f35(a920),x71472),x71473)))
% 163.42/163.16 [7166]~P106(f326(x71661,x71663))+P106(f326(f326(f235(a920),f491(x71661,x71662)),x71662))+~P106(f326(f326(f328(a920),x71663),f326(f301(a920,f2(a920)),x71662)))
% 163.42/163.16 [7167]E(f326(f326(f3(a920),f326(f326(f3(a920),x71671),x71672)),f326(f326(f3(a920),x71673),x71672)),f326(f326(f3(a920),x71671),x71673))+~P106(f326(f326(f234(a920),x71672),x71671))+~P106(f326(f326(f234(a920),x71672),x71673))
% 163.42/163.16 [7202]~P80(x72021)+~P106(f326(f326(f234(x72021),f326(f78(x72021),x72023)),x72022))+P106(f326(f326(f234(x72021),f326(f78(x72021),x72022)),x72023))
% 163.42/163.16 [7204]~P87(x72041)+~P106(f326(f326(f234(x72041),f326(f75(x72041),x72042)),x72043))+P106(f326(f326(f234(x72041),f326(f78(x72041),x72042)),x72043))
% 163.42/163.16 [7206]~P80(x72061)+~P106(f326(f326(f235(x72061),f326(f78(x72061),x72063)),x72062))+P106(f326(f326(f235(x72061),f326(f78(x72061),x72062)),x72063))
% 163.42/163.16 [7207]~P120(x72071)+~P106(f326(f326(f235(x72071),f326(f75(x72071),x72072)),x72073))+P106(f326(f326(f235(x72071),f326(f78(x72071),x72072)),x72073))
% 163.42/163.16 [7240]~P106(f326(x72403,f893(x72402,x72401,x72403)))+P106(f326(f326(f235(a920),x72401),x72402))+P106(f326(x72403,f326(f326(f3(a920),x72401),x72402)))
% 163.42/163.16 [7241]~P106(f326(x72413,f894(x72412,x72411,x72413)))+P106(f326(f326(f235(a920),x72411),x72412))+P106(f326(x72413,f326(f326(f3(a920),x72411),x72412)))
% 163.42/163.16 [7293]~E(f882(x72933,x72932,x72931),f883(x72933,x72932,x72931))+E(f326(f326(f101(f928(x72931,a916)),x72932),f36(f928(x72931,a916),x72933)),f189(f928(x72931,a916)))+P106(f326(f326(f328(f928(x72931,a916)),x72932),x72933))
% 163.42/163.16 [7301]~P106(f326(f60(x73011),x73013))+P106(f326(f60(x73011),f37(f928(x73011,a916),x73012)))+~P106(f326(f326(f328(f928(x73011,a916)),x73013),x73012))
% 163.42/163.16 [7361]~P109(x73611)+E(f326(f326(f110(f928(x73611,a916)),f326(f301(x73611,x73612),x73613)),f326(f326(f308(x73611),x73613),f189(f928(x73611,a916)))),f302(x73611,x73612,x73613))+~P106(f326(f326(f234(x73611),x73612),x73613))
% 163.42/163.16 [7364]E(x73641,f2(a920))+P106(f326(f326(f235(a920),f376(x73641,x73643,x73642)),x73641))+P106(f326(x73642,f326(f326(f35(a920),x73643),x73641)))
% 163.42/163.16 [7393]P106(f326(f326(f235(a920),f326(f190(f921(x73931)),x73932)),f785(x73933,x73931)))+~P106(f326(f60(f921(x73931)),x73933))+~P106(f326(f326(f328(f921(x73931)),x73932),x73933))
% 163.42/163.16 [7399]E(x73991,x73992)+~P106(f326(f326(f234(f928(x73993,a916)),x73991),x73992))+P106(f326(f326(f235(f928(x73993,a916)),x73991),x73992))
% 163.42/163.16 [7412]E(x74121,x74122)+~E(f326(f190(f921(x74123)),x74121),f326(f190(f921(x74123)),x74122))+P106(f326(f326(f235(a920),f639(x74123,x74121,x74122)),f326(f190(f921(x74123)),x74122)))
% 163.42/163.16 [7461]P9(x74611,x74612,x74613)+~E(f326(f263(x74611,x74611),x74613),x74612)+~E(f326(f326(f288(x74611,x74611,x74611),f326(f285(x74611,x74611),x74613)),x74613),x74613)
% 163.42/163.16 [7539]~P106(f326(x75391,f2(a920)))+P106(f326(f326(f235(a920),f376(x75393,x75392,x75391)),x75393))+P106(f326(x75391,f326(f326(f35(a920),x75392),x75393)))
% 163.42/163.16 [7548]~P109(x75481)+E(f326(f326(f110(f928(x75481,a916)),f305(x75481,x75482,x75483)),f326(f326(f308(x75481),x75483),f189(f928(x75481,a916)))),f304(x75481,x75482,x75483))+~P106(f326(f326(f235(x75481),x75482),x75483))
% 163.42/163.16 [7640]~P106(f326(f60(x76401),x76403))+P106(f326(f326(f234(a920),f326(f34(x76401),x76402)),f326(f34(x76401),x76403)))+~P106(f326(f326(f234(f928(x76401,a916)),x76402),x76403))
% 163.42/163.16 [7641]~P106(f326(f60(x76411),x76413))+P106(f326(f326(f235(a920),f326(f34(x76411),x76412)),f326(f34(x76411),x76413)))+~P106(f326(f326(f235(f928(x76411,a916)),x76412),x76413))
% 163.42/163.16 [7772]E(x77721,x77722)+~P106(f326(f326(f234(f928(x77723,a916)),x77722),x77721))+~P106(f326(f326(f234(f928(x77723,a916)),x77721),x77722))
% 163.42/163.16 [7775]~P109(x77751)+P14(x77751,x77752)+~P14(x77751,f326(f326(f148(x77751,x77751,f7(x77751)),x77753),x77752))
% 163.42/163.16 [7846]~P106(f326(f326(f235(a920),x78463),x78462))+~P106(f326(f326(f235(a920),x78463),x78461))+P106(f326(f326(f235(a920),f326(f326(f3(a920),x78461),x78462)),f326(f326(f3(a920),x78461),x78463)))
% 163.42/163.16 [7847]~P106(f326(f326(f234(a920),x78472),x78471))+~P106(f326(f326(f235(a920),x78471),x78473))+P106(f326(f326(f235(a920),f326(f326(f3(a920),x78471),x78472)),f326(f326(f3(a920),x78473),x78472)))
% 163.42/163.16 [7862]~P106(f326(f326(f235(a1),x78622),f2(a1)))+~P106(f326(f326(f234(a1),x78623),x78621))+P106(f326(f326(f234(a1),f326(f326(f35(a1),x78621),x78622)),f326(f326(f35(a1),x78623),x78622)))
% 163.42/163.16 [7879]~P106(f326(f326(f235(a920),f2(a920)),x78793))+~P106(f326(f326(f234(a920),x78793),x78792))+P106(f326(f326(f234(a920),f326(f326(f35(a920),x78791),x78792)),f326(f326(f35(a920),x78791),x78793)))
% 163.42/163.16 [7880]~P106(f326(f326(f235(a1),f2(a1)),x78802))+~P106(f326(f326(f234(a1),x78801),x78803))+P106(f326(f326(f234(a1),f326(f326(f35(a1),x78801),x78802)),f326(f326(f35(a1),x78803),x78802)))
% 163.42/163.16 [7884]~P106(f326(f326(f235(a920),f2(a920)),x78842))+~P106(f326(f326(f235(a920),x78841),x78843))+P106(f326(f326(f235(a920),f326(f326(f80(a920),x78841),x78842)),f326(f326(f80(a920),x78843),x78842)))
% 163.42/163.16 [7885]~P106(f326(f326(f235(a920),f2(a920)),x78851))+~P106(f326(f326(f235(a920),x78852),x78853))+P106(f326(f326(f235(a920),f326(f326(f80(a920),x78851),x78852)),f326(f326(f80(a920),x78851),x78853)))
% 163.42/163.16 [7886]~P106(f326(f326(f235(a1),f2(a1)),x78861))+~P106(f326(f326(f235(a1),x78862),x78863))+P106(f326(f326(f235(a1),f326(f326(f80(a1),x78861),x78862)),f326(f326(f80(a1),x78861),x78863)))
% 163.42/163.16 [7934]E(x79341,f2(a920))+E(f326(f326(f79(a920),f326(f326(f80(a920),x79341),f371(x79341,x79342,x79343))),f376(x79341,x79342,x79343)),x79342)+P106(f326(x79343,f326(f326(f35(a920),x79342),x79341)))
% 163.42/163.16 [7993]E(f326(f326(f79(a920),f326(f326(f80(a920),x79931),f371(x79931,x79932,x79933))),f376(x79931,x79932,x79933)),x79932)+~P106(f326(x79933,f2(a920)))+P106(f326(x79933,f326(f326(f35(a920),x79932),x79931)))
% 163.42/163.16 [8010]~P106(f326(f60(x80101),x80103))+P106(f326(f326(f328(x80101),f899(x80102,x80103,x80101)),x80103))+P106(f326(f326(f235(a920),f2(a920)),f326(f326(f11(x80101,a920),x80102),x80103)))
% 163.42/163.16 [8011]~P106(f326(f60(x80111),x80113))+P106(f326(f326(f328(x80111),f912(x80112,x80113,x80111)),x80113))+P106(f326(f326(f235(a920),f2(a920)),f326(f326(f11(x80111,a920),x80112),x80113)))
% 163.42/163.16 [8111]E(x81111,f2(a920))+P106(f326(f326(f286(a920),x81112),x81113))+~P106(f326(f326(f286(a920),f326(f326(f80(a920),x81111),x81112)),f326(f326(f80(a920),x81111),x81113)))
% 163.42/163.16 [8301]E(x83011,f189(f928(x83012,a916)))+E(x83011,f326(f326(f308(x83012),x83013),f189(f928(x83012,a916))))+~P106(f326(f326(f234(f928(x83012,a916)),x83011),f326(f326(f308(x83012),x83013),f189(f928(x83012,a916)))))
% 163.42/163.16 [8337]~P106(f326(f326(f235(a920),f77(a920)),x83373))+P106(f326(f326(f234(a920),x83371),x83372))+~P106(f326(f326(f286(a920),f326(f326(f243(a920),x83373),x83371)),f326(f326(f243(a920),x83373),x83372)))
% 163.42/163.16 [8339]~P106(f326(f326(f235(a920),f2(a920)),x83393))+P106(f326(f326(f234(a920),x83391),x83392))+~P106(f326(f326(f234(a920),f326(f326(f80(a920),x83393),x83391)),f326(f326(f80(a920),x83393),x83392)))
% 163.42/163.16 [8340]~P106(f326(f326(f235(a920),f2(a920)),x83403))+P106(f326(f326(f234(a920),x83401),x83402))+~P106(f326(f326(f234(a920),f326(f326(f80(a920),x83401),x83403)),f326(f326(f80(a920),x83402),x83403)))
% 163.42/163.16 [8342]~P106(f326(f326(f235(a920),f2(a920)),x83423))+P106(f326(f326(f235(a920),x83421),x83422))+~P106(f326(f326(f235(a920),f326(f326(f243(a920),x83423),x83421)),f326(f326(f243(a920),x83423),x83422)))
% 163.42/163.16 [8344]~P106(f326(f326(f235(a920),f2(a920)),x83443))+P106(f326(f326(f286(a920),x83441),x83442))+~P106(f326(f326(f286(a920),f326(f326(f80(a920),x83443),x83441)),f326(f326(f80(a920),x83443),x83442)))
% 163.42/163.16 [8383]~E(f326(f326(f101(f928(x83831,a916)),f883(x83833,x83832,x83831)),f882(x83833,x83832,x83831)),f189(f928(x83831,a916)))+E(f326(f326(f101(f928(x83831,a916)),x83832),f36(f928(x83831,a916),x83833)),f189(f928(x83831,a916)))+P106(f326(f326(f328(f928(x83831,a916)),x83832),x83833))
% 163.42/163.16 [8397]E(x83971,f113(x83972))+~E(f326(f142(f921(x83972),f921(x83972),f134(x83972),f113(x83972)),x83973),f113(x83972))+~P106(f326(f326(f328(f921(x83972)),x83971),f326(f172(f921(x83972)),x83973)))
% 163.42/163.16 [8452]E(x84521,f189(f928(f928(x84522,a916),a916)))+P106(f326(f326(f328(f928(x84522,a916)),f384(x84523,x84521,x84522)),x84521))+P106(f326(f326(f234(f928(x84522,a916)),f37(f928(x84522,a916),x84521)),x84523))
% 163.42/163.16 [8458]~P72(x84581)+~P77(x84581)+E(f326(f326(f8(a1,x84581),f326(f326(f10(a920,x84581,a1),x84582),a104)),f326(f309(a920,a1,f100(a1)),x84583)),f326(f326(f8(a920,x84581),x84582),x84583))
% 163.42/163.16 [8459]~P72(x84591)+~P77(x84591)+E(f326(f326(f11(a1,x84591),f326(f326(f10(a920,x84591,a1),x84592),a104)),f326(f309(a920,a1,f100(a1)),x84593)),f326(f326(f11(a920,x84591),x84592),x84593))
% 163.42/163.16 [8501]~P106(f326(f60(x85011),x85013))+~P106(f326(f326(f235(a920),f2(a920)),f326(x85012,f899(x85012,x85013,x85011))))+P106(f326(f326(f235(a920),f2(a920)),f326(f326(f11(x85011,a920),x85012),x85013)))
% 163.42/163.16 [8502]~P106(f326(f60(x85021),x85023))+~P106(f326(f326(f235(a920),f2(a920)),f326(x85022,f912(x85022,x85023,x85021))))+P106(f326(f326(f235(a920),f2(a920)),f326(f326(f11(x85021,a920),x85022),x85023)))
% 163.42/163.16 [8538]~P66(x85382)+E(x85381,f77(x85382))+E(f326(f326(f290(x85382),f326(f326(f3(x85382),f326(f326(f243(x85382),x85381),x85383)),f77(x85382))),f326(f326(f3(x85382),x85381),f77(x85382))),f326(f326(f8(a920,x85382),f326(f243(x85382),x85381)),f326(f301(a920,f2(a920)),x85383)))
% 163.42/163.16 [8595]E(x85951,f2(a920))+~P106(f326(x85953,f326(f326(f35(a920),x85952),x85951)))+P106(f326(f326(f235(a920),x85952),f326(f326(f80(a920),x85951),f326(a112,f370(x85951,x85952,x85953)))))
% 163.42/163.16 [8613]P106(f326(x86131,f2(a920)))+~P106(f326(x86131,f326(f326(f35(a920),x86132),x86133)))+P106(f326(f326(f235(a920),x86132),f326(f326(f80(a920),x86133),f326(a112,f370(x86133,x86132,x86131)))))
% 163.42/163.16 [8651]E(x86511,f2(a920))+~P106(f326(x86513,f326(f326(f35(a920),x86512),x86511)))+P106(f326(f326(f234(a920),f326(f326(f80(a920),x86511),f370(x86511,x86512,x86513))),x86512))
% 163.42/163.16 [8682]P106(f326(x86821,f2(a920)))+~P106(f326(x86821,f326(f326(f35(a920),x86823),x86822)))+P106(f326(f326(f234(a920),f326(f326(f80(a920),x86822),f370(x86822,x86823,x86821))),x86823))
% 163.42/163.16 [8690]~P109(x86901)+E(f326(f326(f148(x86901,x86901,f7(x86901)),x86902),x86903),f149(x86901,x86901,f7(x86901),x86902,x86903))+P106(f326(f326(f328(x86901),x86902),f326(f172(x86901),x86903)))
% 163.42/163.16 [8725]~E(f326(x87253,f585(x87252,x87253,x87251)),f326(x87253,f588(x87252,x87253,x87251)))+~P61(x87251,f326(x87253,f586(x87252,x87253,x87251)))+P61(x87251,f326(f326(f39(x87252,f928(x87251,f928(x87251,a916))),f241(f928(x87252,a916))),x87253))
% 163.42/163.16 [8734]E(x87341,f189(f928(f928(x87342,a916),a916)))+~P106(f326(f326(f234(f928(x87342,a916)),f384(x87343,x87341,x87342)),x87343))+P106(f326(f326(f234(f928(x87342,a916)),f37(f928(x87342,a916),x87341)),x87343))
% 163.42/163.16 [8794]~P68(x87941)+~P106(f326(f326(f235(x87941),x87942),x87943))+P106(f326(f326(f235(x87941),x87942),f326(f326(f290(x87941),f326(f326(f79(x87941),x87942),x87943)),f326(f326(f79(x87941),f77(x87941)),f77(x87941)))))
% 163.42/163.16 [8854]~P106(f326(f326(x88541,f385(x88541,x88543,x88542)),f387(x88541,x88543,x88542)))+P106(f326(f326(x88541,x88542),x88543))+~P106(f326(f314(f927(a1,a1),a51),f326(f326(f251(a1,a1),x88542),x88543)))
% 163.42/163.16 [8855]~P106(f326(f326(x88551,f389(x88551,x88553,x88552)),f390(x88551,x88553,x88552)))+P106(f326(f326(x88551,x88552),x88553))+~P106(f326(f314(f927(a1,a1),a57),f326(f326(f251(a1,a1),x88552),x88553)))
% 163.42/163.16 [8856]~P106(f326(f326(x88561,f393(x88561,x88563,x88562)),f394(x88561,x88563,x88562)))+P106(f326(f326(x88561,x88562),x88563))+~P106(f326(f314(f927(a920,a920),a220),f326(f326(f251(a920,a920),x88562),x88563)))
% 163.42/163.16 [8857]~P106(f326(f326(x88571,f402(x88571,x88573,x88572)),f404(x88571,x88573,x88572)))+P106(f326(f326(x88571,x88572),x88573))+~P106(f326(f314(f927(a1,a1),a222),f326(f326(f251(a1,a1),x88572),x88573)))
% 163.42/163.16 [8858]~P106(f326(f326(x88581,f676(x88581,x88583,x88582)),f679(x88581,x88583,x88582)))+P106(f326(f326(x88581,x88582),x88583))+~P106(f326(f314(f927(a1,a1),a182),f326(f326(f251(a1,a1),x88582),x88583)))
% 163.42/163.16 [8859]~P106(f326(f326(x88591,f772(x88591,x88593,x88592)),f773(x88591,x88593,x88592)))+P106(f326(f326(x88591,x88592),x88593))+~P106(f326(f314(f927(a1,a1),a133),f326(f326(f251(a1,a1),x88592),x88593)))
% 163.42/163.16 [8872]P106(f326(f326(x88721,x88722),f865(x88723,x88721)))+~P25(a915,a929,f326(f326(f308(f919(a915)),f326(f326(f326(f90(a915),x88723),a931),x88721)),f189(f928(f919(a915),a916))))+~P106(f326(f326(x88723,x88722),a857))
% 163.42/163.16 [9133]P106(f326(f326(x91331,x91332),x91333))+P106(f326(f314(f927(a920,a920),a220),f326(f326(f251(a920,a920),f393(x91331,x91333,x91332)),f394(x91331,x91333,x91332))))+~P106(f326(f314(f927(a920,a920),a220),f326(f326(f251(a920,a920),x91332),x91333)))
% 163.42/163.16 [9134]P106(f326(f326(x91341,x91342),x91343))+P106(f326(f314(f927(a1,a1),a51),f326(f326(f251(a1,a1),f385(x91341,x91343,x91342)),f387(x91341,x91343,x91342))))+~P106(f326(f314(f927(a1,a1),a51),f326(f326(f251(a1,a1),x91342),x91343)))
% 163.42/163.16 [9135]P106(f326(f326(x91351,x91352),x91353))+P106(f326(f314(f927(a1,a1),a57),f326(f326(f251(a1,a1),f389(x91351,x91353,x91352)),f390(x91351,x91353,x91352))))+~P106(f326(f314(f927(a1,a1),a57),f326(f326(f251(a1,a1),x91352),x91353)))
% 163.42/163.16 [9136]P106(f326(f326(x91361,x91362),x91363))+P106(f326(f314(f927(a1,a1),a222),f326(f326(f251(a1,a1),f402(x91361,x91363,x91362)),f404(x91361,x91363,x91362))))+~P106(f326(f314(f927(a1,a1),a222),f326(f326(f251(a1,a1),x91362),x91363)))
% 163.42/163.16 [9137]P106(f326(f326(x91371,x91372),x91373))+P106(f326(f314(f927(a1,a1),a182),f326(f326(f251(a1,a1),f676(x91371,x91373,x91372)),f679(x91371,x91373,x91372))))+~P106(f326(f314(f927(a1,a1),a182),f326(f326(f251(a1,a1),x91372),x91373)))
% 163.42/163.16 [9138]P106(f326(f326(x91381,x91382),x91383))+P106(f326(f314(f927(a1,a1),a133),f326(f326(f251(a1,a1),f772(x91381,x91383,x91382)),f773(x91381,x91383,x91382))))+~P106(f326(f314(f927(a1,a1),a133),f326(f326(f251(a1,a1),x91382),x91383)))
% 163.42/163.16 [9471]~P106(f326(f60(x94711),x94713))+P106(f326(f326(f328(f927(f928(x94711,a916),f928(x94711,a916))),f326(f326(f251(f928(x94711,a916),f928(x94711,a916)),x94712),x94713)),f313(x94711)))+~P106(f326(f326(f235(f928(x94711,a916)),x94712),x94713))
% 163.42/163.16 [9546]~P61(x95461,f326(x95463,f586(x95462,x95463,x95461)))+P61(x95461,f326(f326(f39(x95462,f928(x95461,f928(x95461,a916))),f241(f928(x95462,a916))),x95463))+~E(f326(f326(f101(f928(x95461,a916)),f248(x95461,x95461,f326(x95463,f585(x95462,x95463,x95461)))),f249(x95461,x95461,f326(x95463,f588(x95462,x95463,x95461)))),f189(f928(x95461,a916)))
% 163.42/163.16 [9755]P54(x97551,x97552,x97553)+P106(f326(f326(f328(f927(x97551,x97551)),f575(x97553,x97552,x97551)),x97553))+~P106(f326(f326(f328(f927(x97551,x97551)),f326(f326(f251(x97551,x97551),f574(x97553,x97552,x97551)),f574(x97553,x97552,x97551))),x97553))
% 163.42/163.16 [10350]P54(x103501,x103502,x103503)+~P106(f326(f326(f256(x103501,x103501,a916),f326(f326(f9(x103501,f928(x103501,a916),f928(x103501,a916)),f326(f326(f10(f928(a916,a916),f928(f928(x103501,a916),f928(x103501,a916)),x103501),f10(a916,a916,x103501)),f326(f326(f10(a916,f928(a916,a916),x103501),a324),f326(f326(f9(x103501,f928(x103501,a916),a916),f328(x103501)),x103502)))),f326(f326(f9(x103501,f928(x103501,a916),a916),f328(x103501)),x103502))),f575(x103503,x103502,x103501)))+~P106(f326(f326(f328(f927(x103501,x103501)),f326(f326(f251(x103501,x103501),f574(x103503,x103502,x103501)),f574(x103503,x103502,x103501))),x103503))
% 163.42/163.16 [5856]~P62(x58562)+E(x58561,f2(x58562))+E(f326(f326(f35(x58562),f326(f326(f80(x58562),x58563),x58561)),x58561),x58563)
% 163.42/163.16 [5857]~P62(x58572)+E(x58571,f2(x58572))+E(f326(f326(f35(x58572),f326(f326(f80(x58572),x58571),x58573)),x58571),x58573)
% 163.42/163.16 [6508]~P62(x65081)+E(f326(f326(f80(x65081),f326(f326(f35(x65081),x65082),x65083)),x65083),x65082)+~P106(f326(f326(f286(x65081),x65083),x65082))
% 163.42/163.16 [6670]~P72(x66701)+~E(f326(x66702,f2(a920)),f2(x66701))+E(f326(f326(f8(a920,x66701),x66702),f326(f301(a920,f326(a112,f2(a920))),x66703)),f326(f326(f8(a920,x66701),x66702),f326(f301(a920,f2(a920)),x66703)))
% 163.42/163.16 [6804]~P62(x68042)+E(x68041,f2(x68042))+E(f326(f326(f35(x68042),f326(f326(f79(x68042),x68043),x68041)),x68041),f326(f326(f79(x68042),f326(f326(f35(x68042),x68043),x68041)),f77(x68042)))
% 163.42/163.16 [6805]~P62(x68052)+E(x68051,f2(x68052))+E(f326(f326(f35(x68052),f326(f326(f79(x68052),x68051),x68053)),x68051),f326(f326(f79(x68052),f326(f326(f35(x68052),x68053),x68051)),f77(x68052)))
% 163.42/163.16 [7024]~P106(f326(x70243,f2(a1)))+P106(f326(f326(f234(a920),x70241),x70242))+P106(f326(x70243,f326(f100(a1),f326(f326(f3(a920),x70242),x70241))))
% 163.42/163.16 [7128]P106(f326(f326(f235(a920),x71282),x71281))+P106(f326(f326(f234(a920),x71281),x71282))+P106(f326(x71283,f326(f100(a1),f326(f326(f3(a920),x71282),x71281))))
% 163.42/163.16 [7200]E(f326(f326(f79(a920),f326(f103(a920),x72001)),f326(f326(f79(a920),f326(f103(a920),x72002)),x72003)),f326(f326(f79(a920),f326(f103(a920),x72001)),x72003))+P106(f326(a194,f326(f103(a1),x72001)))+~P106(f326(a194,f326(f103(a1),x72002)))
% 163.42/163.16 [7280]~E(x72802,f326(f326(f35(a920),x72803),x72801))+~P106(f326(f326(f235(a920),f2(a920)),x72801))+P106(f326(f326(f234(a920),f326(f326(f80(a920),x72801),x72802)),x72803))
% 163.42/163.16 [7396]~P106(f326(f60(x73961),x73963))+~P106(f326(f60(x73961),x73962))+P106(f326(f60(x73961),f326(f326(f110(f928(x73961,a916)),x73962),x73963)))
% 163.42/163.16 [7446]~P40(x74461,x74463)+~P40(x74461,x74462)+P40(x74461,f326(f326(f101(f928(f927(x74461,x74461),a916)),x74462),x74463))
% 163.42/163.16 [7447]~P53(x74471,x74473)+~P53(x74471,x74472)+P53(x74471,f326(f326(f110(f928(f927(x74471,x74471),a916)),x74472),x74473))
% 163.42/163.16 [7448]~P53(x74481,x74483)+~P53(x74481,x74482)+P53(x74481,f326(f326(f101(f928(f927(x74481,x74481),a916)),x74482),x74483))
% 163.42/163.16 [7689]~P109(x76891)+~P106(f326(f60(x76891),x76892))+E(f139(x76891,f326(f326(f3(f928(x76891,a916)),x76892),f326(f326(f308(x76891),x76893),f189(f928(x76891,a916))))),f170(x76891,x76893,f139(x76891,x76892)))
% 163.42/163.16 [7751]P106(f326(x77511,f2(a1)))+~P106(f326(f326(f235(a920),x77512),x77513))+~P106(f326(x77511,f326(f100(a1),f326(f326(f3(a920),x77512),x77513))))
% 163.42/163.16 [7769]~P106(f326(f60(x77691),x77692))+E(f326(f34(x77691),f326(f326(f3(f928(x77691,a916)),x77692),f326(f326(f308(x77691),x77693),f189(f928(x77691,a916))))),f326(f34(x77691),x77692))+P106(f326(f326(f328(x77691),x77693),x77692))
% 163.42/163.16 [7902]~P127(x79021)+~P106(f326(f326(f235(x79021),f77(x79021)),x79022))+P106(f326(f326(f235(x79021),f77(x79021)),f326(f326(f80(x79021),x79022),f326(f326(f243(x79021),x79022),x79023))))
% 163.42/163.16 [7944]~P106(f326(f60(x79441),x79443))+E(f326(f326(f3(a920),f326(f34(x79441),x79442)),f326(f34(x79441),x79443)),f326(f34(x79441),f326(f326(f3(f928(x79441,a916)),x79442),x79443)))+~P106(f326(f326(f234(f928(x79441,a916)),x79443),x79442))
% 163.42/163.16 [8001]~P106(f326(f326(f234(a920),x80012),x80013))+~P106(f326(f326(f234(a920),x80011),f326(f326(f3(a920),x80013),x80012)))+P106(f326(f326(f234(a920),f326(f326(f79(a920),x80011),x80012)),x80013))
% 163.42/163.16 [8054]P106(f326(f60(x80541),x80542))+~P106(f326(f60(x80541),x80543))+~P106(f326(f60(x80541),f326(f326(f3(f928(x80541,a916)),x80542),x80543)))
% 163.42/163.16 [8060]~P106(f326(f60(x80601),x80602))+E(f326(f34(x80601),f326(f326(f3(f928(x80601,a916)),x80602),f326(f326(f308(x80601),x80603),f189(f928(x80601,a916))))),f326(f326(f3(a920),f326(f34(x80601),x80602)),f77(a920)))+~P106(f326(f326(f328(x80601),x80603),x80602))
% 163.42/163.16 [8136]P61(x81361,x81362)+~P61(x81361,x81363)+~P106(f326(f326(f234(f928(x81361,f928(x81361,a916))),x81362),x81363))
% 163.42/163.16 [8177]~P106(f326(f326(f234(a920),x81773),x81772))+P106(f326(f326(f234(a920),x81771),f326(f326(f3(a920),x81772),x81773)))+~P106(f326(f326(f234(a920),f326(f326(f79(a920),x81771),x81773)),x81772))
% 163.42/163.16 [8195]P39(x81951,x81952)+~P39(x81951,x81953)+~P106(f326(f326(f234(f928(f927(x81951,x81951),a916)),x81952),x81953))
% 163.42/163.17 [8196]P59(x81961,x81962)+~P59(x81961,x81963)+~P106(f326(f326(f234(f928(f927(x81961,x81961),a916)),x81962),x81963))
% 163.42/163.17 [8197]P41(x81971,x81972)+~P41(x81971,x81973)+~P106(f326(f326(f234(f928(f927(x81971,x81971),a916)),x81972),x81973))
% 163.42/163.17 [8430]~P127(x84301)+~P106(f326(f326(f235(x84301),f77(x84301)),x84302))+P106(f326(f326(f235(x84301),f326(f326(f243(x84301),x84302),x84303)),f326(f326(f80(x84301),x84302),f326(f326(f243(x84301),x84302),x84303))))
% 163.42/163.17 [8520]~P106(f326(x85201,f2(a1)))+~P106(f326(x85201,f326(f326(f3(a1),f326(f100(a1),x85202)),f326(f100(a1),x85203))))+P106(f326(x85201,f326(f100(a1),f326(f326(f3(a920),x85202),x85203))))
% 163.42/163.17 [8535]~P106(f326(f326(f234(a920),x85353),x85352))+P106(f326(x85351,f326(f326(f3(a1),f326(f100(a1),x85352)),f326(f100(a1),x85353))))+~P106(f326(x85351,f326(f100(a1),f326(f326(f3(a920),x85352),x85353))))
% 163.42/163.17 [8554]P106(f326(f326(f235(a920),x85541),x85542))+~P106(f326(x85543,f326(f326(f3(a1),f326(f100(a1),x85541)),f326(f100(a1),x85542))))+P106(f326(x85543,f326(f100(a1),f326(f326(f3(a920),x85541),x85542))))
% 163.42/163.17 [8607]~P129(x86072)+E(x86071,f2(x86072))+P106(f326(f326(f235(x86072),f2(x86072)),f326(f326(f79(x86072),f326(f326(f80(x86072),x86073),x86073)),f326(f326(f80(x86072),x86071),x86071))))
% 163.42/163.17 [8608]~P129(x86082)+E(x86081,f2(x86082))+P106(f326(f326(f235(x86082),f2(x86082)),f326(f326(f79(x86082),f326(f326(f80(x86082),x86081),x86081)),f326(f326(f80(x86082),x86083),x86083))))
% 163.42/163.17 [8707]~P106(f326(f326(f235(a920),f2(a920)),x87071))+~P106(f326(f326(f235(a1),x87072),x87073))+P106(f326(f326(f235(a1),f326(f326(f80(a1),f326(f100(a1),x87071)),x87072)),f326(f326(f80(a1),f326(f100(a1),x87071)),x87073)))
% 163.42/163.17 [8763]E(f326(f326(f101(f928(x87631,a916)),x87632),f36(f928(x87631,a916),x87633)),f189(f928(x87631,a916)))+P106(f326(f326(f328(f928(x87631,a916)),x87632),x87633))+P106(f326(f326(f328(f928(x87631,a916)),f883(x87633,x87632,x87631)),f326(f326(f308(f928(x87631,a916)),x87632),x87633)))
% 163.42/163.17 [8764]E(f326(f326(f101(f928(x87641,a916)),x87642),f36(f928(x87641,a916),x87643)),f189(f928(x87641,a916)))+P106(f326(f326(f328(f928(x87641,a916)),x87642),x87643))+P106(f326(f326(f328(f928(x87641,a916)),f882(x87643,x87642,x87641)),f326(f326(f308(f928(x87641,a916)),x87642),x87643)))
% 163.42/163.17 [8793]E(x87931,x87932)+~E(f326(f190(f921(x87933)),x87931),f326(f190(f921(x87933)),x87932))+P106(f326(f326(f328(f927(x87933,x87933)),f665(x87933,x87931,x87932)),f326(f172(f927(x87933,x87933)),f326(f326(f181(x87933,x87933),x87932),x87931))))
% 163.42/163.17 [9046]E(f306(x90461,x90462),f306(x90461,x90463))+~P106(f326(f326(f234(f928(f927(x90461,x90461),a916)),x90463),f306(x90461,x90462)))+~P106(f326(f326(f234(f928(f927(x90461,x90461),a916)),x90462),x90463))
% 163.42/163.17 [9113]~P54(x91131,f241(f928(x91131,a916)),x91133)+P106(f326(f326(f234(f928(f927(f921(x91131),f921(x91131)),a916)),f157(x91131,x91132)),f158(x91131,x91133)))+~P106(f326(f326(f234(f928(f927(x91131,x91131),a916)),x91132),x91133))
% 163.42/163.17 [9308]P39(x93081,x93082)+~P106(f326(f326(f328(x93081),x93083),f617(x93082,x93081)))+P106(f326(f326(f328(f927(x93081,x93081)),f326(f326(f251(x93081,x93081),f640(x93082,x93081,x93083)),x93083)),x93082))
% 163.42/163.17 [9343]~P106(f326(f60(x93431),x93432))+P106(f326(f60(f928(x93431,a916)),f326(f326(f59(x93431),x93432),x93433)))+~P106(f326(f326(f234(f928(f927(x93431,x93431),a916)),x93433),f326(f326(f253(x93431,x93431),x93432),f326(f18(f928(x93431,a916),x93431),x93432))))
% 163.42/163.17 [9379]P54(x93791,x93792,x93793)+P106(f326(f326(f328(x93791),f539(x93793,x93792,x93791)),x93792))+~P106(f326(f326(f234(f928(f927(x93791,x93791),a916)),x93793),f326(f326(f253(x93791,x93791),x93792),f326(f18(f928(x93791,a916),x93791),x93792))))
% 163.42/163.17 [9380]P54(x93801,x93802,x93803)+P106(f326(f326(f328(x93801),f549(x93802,x93803,x93801)),x93802))+~P106(f326(f326(f234(f928(f927(x93801,x93801),a916)),x93803),f326(f326(f253(x93801,x93801),x93802),f326(f18(f928(x93801,a916),x93801),x93802))))
% 163.42/163.17 [9414]~P68(x94141)+~P106(f326(f326(f235(x94141),x94142),x94143))+P106(f326(f326(f235(x94141),f326(f326(f290(x94141),f326(f326(f79(x94141),x94142),x94143)),f326(f326(f79(x94141),f77(x94141)),f77(x94141)))),x94143))
% 163.42/163.17 [9444]~P67(x94441)+P106(f326(f326(f234(x94441),x94442),x94443))+~P106(f326(f326(f234(x94441),f326(f326(f80(x94441),f908(x94443,x94442,x94441)),x94442)),x94443))
% 163.42/163.17 [9581]E(f326(f190(f921(f921(x95811))),f326(f136(f921(x95811),f326(f326(f10(a920,a916,f921(x95811)),f326(f235(a920),x95812)),f190(f921(x95811)))),f179(x95811,x95813))),f326(f190(f921(x95811)),f326(f326(f164(f921(x95811)),x95813),x95812)))+~P14(a920,f326(f168(a920),f326(f326(f154(f921(x95811),a920),f190(f921(x95811))),x95813)))+~P106(f326(f326(f235(a920),x95812),f326(f190(f921(f921(x95811))),x95813)))
% 163.42/163.17 [9702]~P39(x97021,x97022)+P28(x97021,f326(f326(f251(f928(f927(x97021,x97021),a916),f928(f927(x97021,x97021),a916)),x97022),x97023))+~P106(f326(f326(f234(f928(f927(x97021,x97021),a916)),f326(f326(f288(x97021,x97021,x97021),x97022),x97023)),x97022))
% 163.42/163.17 [9708]E(f326(f326(f154(f921(x97081),x97081),f326(f326(f9(f921(x97081),a920,x97081),f164(x97081)),x97082)),f326(f136(f921(x97081),f326(f326(f10(a920,a916,f921(x97081)),f326(f235(a920),x97082)),f190(f921(x97081)))),f179(x97081,x97083))),f326(f326(f164(f921(x97081)),x97083),x97082))+~P14(a920,f326(f168(a920),f326(f326(f154(f921(x97081),a920),f190(f921(x97081))),x97083)))+~P106(f326(f326(f235(a920),x97082),f326(f190(f921(f921(x97081))),x97083)))
% 163.42/163.17 [9843]P54(x98431,x98432,x98433)+~P106(f326(f326(f328(f927(x98431,x98431)),f326(f326(f251(x98431,x98431),f539(x98433,x98432,x98431)),f539(x98433,x98432,x98431))),x98433))+~P106(f326(f326(f234(f928(f927(x98431,x98431),a916)),x98433),f326(f326(f253(x98431,x98431),x98432),f326(f18(f928(x98431,a916),x98431),x98432))))
% 163.42/163.17 [9844]P54(x98441,x98442,x98443)+~P106(f326(f326(f328(f927(x98441,x98441)),f326(f326(f251(x98441,x98441),f549(x98442,x98443,x98441)),f549(x98442,x98443,x98441))),x98443))+~P106(f326(f326(f234(f928(f927(x98441,x98441),a916)),x98443),f326(f326(f253(x98441,x98441),x98442),f326(f18(f928(x98441,a916),x98441),x98442))))
% 163.42/163.17 [10012]~P143(x100121)+~P126(x100121)+E(f326(f326(f290(x100121),f326(f102(x100121),f326(f326(f72(f927(a1,a1),a1,x100122,f250(a1,a1)),f213(x100122)),x100123))),f326(f102(x100121),f326(f326(f72(f927(a1,a1),a1,x100122,f255(a1,a1)),f213(x100122)),x100123))),f223(x100122,x100121,x100123))
% 163.42/163.17 [10218]~E(x102183,f2(a920))+~E(f326(f190(f921(x102181)),f326(f326(f164(f921(x102181)),x102182),f713(x102183,x102181,x102182))),x102183)+E(f326(f326(f154(a920,f921(x102181)),f326(f326(f9(a920,f921(a920),f921(x102181)),f326(f326(f10(f928(a920,x102181),f928(f921(a920),f921(x102181)),a920),f154(a920,x102181)),f326(f9(a920,a920,x102181),f326(f326(f10(f921(x102181),f928(a920,x102181),a920),f164(x102181)),f326(f164(f921(x102181)),x102182))))),f139(a920,f326(f301(a920,f2(a920)),f326(f190(f921(f921(x102181))),x102182))))),f139(a920,f326(f301(a920,f2(a920)),x102183))),f179(x102181,x102182))
% 163.42/163.17 [10219]E(x102191,f113(f921(x102192)))+~E(f326(f190(f921(x102192)),f326(f326(f164(f921(x102192)),x102191),f713(x102193,x102192,x102191))),x102193)+E(f326(f326(f154(a920,f921(x102192)),f326(f326(f9(a920,f921(a920),f921(x102192)),f326(f326(f10(f928(a920,x102192),f928(f921(a920),f921(x102192)),a920),f154(a920,x102192)),f326(f9(a920,a920,x102192),f326(f326(f10(f921(x102192),f928(a920,x102192),a920),f164(x102192)),f326(f164(f921(x102192)),x102191))))),f139(a920,f326(f301(a920,f2(a920)),f326(f190(f921(f921(x102192))),x102191))))),f139(a920,f326(f301(a920,f2(a920)),x102193))),f179(x102192,x102191))
% 163.42/163.17 [10220]~E(x102203,f2(a920))+E(f326(f326(f154(a920,f921(x102201)),f326(f326(f9(a920,f921(a920),f921(x102201)),f326(f326(f10(f928(a920,x102201),f928(f921(a920),f921(x102201)),a920),f154(a920,x102201)),f326(f9(a920,a920,x102201),f326(f326(f10(f921(x102201),f928(a920,x102201),a920),f164(x102201)),f326(f164(f921(x102201)),x102202))))),f139(a920,f326(f301(a920,f2(a920)),f326(f190(f921(f921(x102201))),x102202))))),f139(a920,f326(f301(a920,f2(a920)),x102203))),f179(x102201,x102202))+P106(f326(f326(f235(a920),f713(x102203,x102201,x102202)),f326(f190(f921(f921(x102201))),x102202)))
% 163.42/163.17 [10221]E(x102211,f113(f921(x102212)))+E(f326(f326(f154(a920,f921(x102212)),f326(f326(f9(a920,f921(a920),f921(x102212)),f326(f326(f10(f928(a920,x102212),f928(f921(a920),f921(x102212)),a920),f154(a920,x102212)),f326(f9(a920,a920,x102212),f326(f326(f10(f921(x102212),f928(a920,x102212),a920),f164(x102212)),f326(f164(f921(x102212)),x102211))))),f139(a920,f326(f301(a920,f2(a920)),f326(f190(f921(f921(x102212))),x102211))))),f139(a920,f326(f301(a920,f2(a920)),x102213))),f179(x102212,x102211))+P106(f326(f326(f235(a920),f713(x102213,x102212,x102211)),f326(f190(f921(f921(x102212))),x102211)))
% 163.42/163.17 [7941]E(f326(f326(f79(a920),f326(f103(a920),x79411)),f326(f326(f79(a920),f326(f103(a920),x79412)),x79413)),f326(f326(f79(a920),f326(f103(a920),f326(f326(f79(a1),x79411),x79412))),x79413))+P106(f326(a194,f326(f103(a1),x79411)))+P106(f326(a194,f326(f103(a1),x79412)))
% 163.42/163.17 [8699]~P106(f326(f60(x86991),x86992))+~P106(f326(f326(f328(x86991),x86993),x86992))+E(f326(a112,f326(f34(x86991),f326(f326(f3(f928(x86991,a916)),x86992),f326(f326(f308(x86991),x86993),f189(f928(x86991,a916)))))),f326(f34(x86991),x86992))
% 163.42/163.17 [8715]~P106(f326(f60(x87151),x87152))+~P106(f326(f326(f328(x87151),x87153),x87152))+E(f326(f326(f79(a920),f77(a920)),f326(f34(x87151),f326(f326(f3(f928(x87151,a916)),x87152),f326(f326(f308(x87151),x87153),f189(f928(x87151,a916)))))),f326(f34(x87151),x87152))
% 163.42/163.17 [8802]~P109(x88021)+~P106(f326(f60(x88021),x88023))+E(f326(f326(f148(x88021,x88021,f7(x88021)),x88022),f139(x88021,f326(f326(f3(f928(x88021,a916)),x88023),f326(f326(f308(x88021),x88022),f189(f928(x88021,a916)))))),f139(x88021,f326(f326(f308(x88021),x88022),x88023)))
% 163.42/163.17 [8971]~P106(f326(f60(x89711),x89713))+~P106(f326(f60(x89711),x89712))+E(f326(f326(f79(a920),f326(f34(x89711),f326(f326(f110(f928(x89711,a916)),x89712),x89713))),f326(f34(x89711),f326(f326(f101(f928(x89711,a916)),x89712),x89713))),f326(f326(f79(a920),f326(f34(x89711),x89712)),f326(f34(x89711),x89713)))
% 163.42/163.17 [10167]~P26(x101671,f928(f928(x101671,a916),a916),f326(f326(f9(x101671,f928(f927(x101671,x101671),a916),f928(f928(x101671,a916),a916)),f326(f326(f10(f928(x101671,a916),f928(f928(f927(x101671,x101671),a916),f928(f928(x101671,a916),a916)),x101671),f59(x101671)),f326(f326(f9(x101671,f928(x101671,a916),f928(x101671,a916)),f308(x101671)),f189(f928(x101671,a916))))),x101673),x101672)+~P106(f326(f60(x101671),x101672))+E(f326(f34(f928(x101671,a916)),f326(f326(f59(x101671),x101672),x101673)),f326(f34(x101671),x101672))
% 163.42/163.17 [8209]~P94(x82091)+P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x82093)))+E(f326(f326(f243(x82091),x82092),f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),x82093),x82093)),a97))),f77(x82091))
% 163.42/163.17 [9684]~P94(x96841)+~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x96843)))+E(f326(f326(f243(x96841),x96842),f326(f103(a920),f326(f326(f3(a1),f326(f326(f79(a1),x96843),x96843)),a97))),f326(f326(f85(x96841,x96841),f326(f326(f243(x96841),x96842),f326(f103(a920),x96843))),f326(f326(f20(x96841,x96841,x96841),f326(f326(f10(x96841,f928(x96841,x96841),x96841),f80(x96841)),f326(f80(x96841),x96842))),f7(x96841))))
% 163.42/163.17 [10075]~P106(f326(f137(x100751),x100753))+~P106(f326(f326(f328(x100751),x100752),f326(f172(x100751),x100753)))+E(f326(f326(f138(x100751),f326(f190(f921(x100751)),f177(x100751,f326(f326(f10(a916,a916,x100751),a321),f326(f326(f9(x100751,x100751,a916),a323),x100752)),f326(f168(x100751),x100753)))),f326(f168(x100751),x100753)),f326(f326(f151(x100751),x100752),f326(f168(x100751),f177(x100751,f326(f326(f10(a916,a916,x100751),a321),f326(f326(f9(x100751,x100751,a916),a323),x100752)),x100753))))
% 163.42/163.17 [10137]P106(f326(f326(f234(f928(f927(x101371,x101371),a916)),f306(x101371,x101372)),x101373))+~P106(f326(f326(f234(f928(f927(x101371,x101371),a916)),f306(x101371,f189(f928(f927(x101371,x101371),a916)))),x101373))+~P106(f326(f326(f234(f928(f927(x101371,x101371),a916)),f326(f326(f288(x101371,x101371,x101371),f326(f326(f101(f928(f927(x101371,x101371),a916)),f306(x101371,x101372)),x101373)),x101372)),x101373))
% 163.42/163.17 [9992]~P106(f326(f60(x99921),f326(f261(x99921),x99923)))+~P106(f326(f60(x99921),f326(f261(x99921),x99922)))+P106(f326(f60(x99921),f326(f261(x99921),f326(f326(f20(x99921,a916,a916),f326(f326(f10(a916,f928(a916,a916),x99921),a325),x99922)),x99923))))
% 163.42/163.17 [10284]P106(f326(f326(f234(f928(f927(x102841,x102841),a916)),f326(f326(f288(x102841,x102841,x102841),x102842),f306(x102841,x102842))),x102843))+~P106(f326(f326(f234(f928(f927(x102841,x102841),a916)),x102842),x102843))+~P106(f326(f326(f234(f928(f927(x102841,x102841),a916)),f326(f326(f288(x102841,x102841,x102841),f326(f326(f101(f928(f927(x102841,x102841),a916)),f326(f326(f288(x102841,x102841,x102841),x102842),f306(x102841,x102842))),x102843)),x102842)),x102843))
% 163.42/163.17 [10234]~P120(x102342)+E(x102341,f2(x102342))+~E(f326(f326(f79(x102342),f326(f326(f243(x102342),x102343),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x102342),x102341),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x102342))
% 163.42/163.17 [10235]~P120(x102352)+E(x102351,f2(x102352))+~E(f326(f326(f79(x102352),f326(f326(f243(x102352),x102351),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x102352),x102353),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x102352))
% 163.42/163.17 [10240]~P106(f326(f137(x102401),x102403))+~P106(f326(f326(f328(x102401),x102402),f326(f172(x102401),x102403)))+E(f326(f168(x102401),f326(f171(x102401),f326(f326(f138(x102401),f326(f190(f921(x102401)),f177(x102401,f326(f326(f10(a916,a916,x102401),a321),f326(f326(f9(x102401,x102401,a916),a323),x102402)),x102403))),x102403))),f177(x102401,f326(f326(f10(a916,a916,x102401),a321),f326(f326(f9(x102401,x102401,a916),a323),x102402)),f326(f168(x102401),x102403)))
% 163.42/163.17 [10332]~P120(x103322)+E(x103321,f2(x103322))+P106(f326(f326(f235(x103322),f2(x103322)),f326(f326(f79(x103322),f326(f326(f243(x103322),x103323),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103322),x103321),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 163.42/163.17 [10333]~P120(x103332)+E(x103331,f2(x103332))+P106(f326(f326(f235(x103332),f2(x103332)),f326(f326(f79(x103332),f326(f326(f243(x103332),x103331),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103332),x103333),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 163.42/163.17 [10388]~P120(x103881)+P106(f326(f326(f234(x103881),f2(x103881)),x103882))+~P106(f326(f326(f234(x103881),f2(x103881)),f326(f326(f243(x103881),x103882),f326(a112,f326(f326(f80(a920),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103883)))))
% 163.42/163.17 [5688]~P25(x56881,x56884,x56883)+P25(x56881,x56882,x56883)+~P25(x56881,x56882,x56884)
% 163.42/163.17 [5151]~E(x51512,f89(x51513,x51511))+P106(f326(x51511,x51512))+~P106(f326(x51511,x51514))
% 163.42/163.17 [5397]E(f67(x53973,x53972,x53974),x53972)+E(x53971,f739(x53972,x53973,x53974))+~P106(f326(x53974,x53971))
% 163.42/163.17 [6727]E(f67(x67271,x67272,x67273),f84(x67271,x67273))+~E(f775(x67272,x67271,x67273,x67274),x67274)+~P106(f326(x67273,x67274))
% 163.42/163.17 [6937]~P39(x69372,x69374)+~P39(x69371,x69373)+P39(f927(x69371,x69372),f318(x69371,x69372,x69373,x69374))
% 163.42/163.17 [6938]~P40(x69382,x69384)+~P40(x69381,x69383)+P40(f927(x69381,x69382),f318(x69381,x69382,x69383,x69384))
% 163.42/163.17 [5337]~P8(x53374,x53371)+~E(f326(x53371,x53372),f326(x53371,x53373))+P106(f326(f326(x53371,x53372),x53373))
% 163.42/163.17 [5501]~P8(x55014,x55011)+E(f326(x55011,x55012),f326(x55011,x55013))+~P106(f326(f326(x55011,x55012),x55013))
% 163.42/163.17 [5502]~P16(x55024,x55021)+E(f326(x55021,x55022),f326(x55021,x55023))+~P106(f326(f326(x55021,x55022),x55023))
% 163.42/163.17 [5595]~P19(x55953,x55954,x55951)+E(f326(x55951,x55952),f326(f62(x55953,x55954),x55952))+~P106(f326(f60(x55953),x55952))
% 163.42/163.17 [5596]~P10(x55963,x55964,x55961)+E(f326(x55961,x55962),f326(f62(x55963,x55964),x55962))+~P106(f326(f60(x55963),x55962))
% 163.42/163.17 [5723]~P8(x57234,x57231)+~P106(f326(f326(x57231,x57233),x57232))+P106(f326(f326(x57231,x57232),x57233))
% 163.42/163.17 [5724]~P52(x57244,x57241)+~P106(f326(f326(x57241,x57243),x57242))+P106(f326(f326(x57241,x57242),x57243))
% 163.42/163.17 [5725]~P16(x57254,x57251)+~P106(f326(f326(x57251,x57253),x57252))+P106(f326(f326(x57251,x57252),x57253))
% 163.42/163.17 [5726]~P16(x57263,x57261)+P106(f326(f326(x57261,x57262),x57262))+~P106(f326(f326(x57261,x57264),x57262))
% 163.42/163.17 [5727]~P16(x57273,x57271)+P106(f326(f326(x57271,x57272),x57272))+~P106(f326(f326(x57271,x57272),x57274))
% 163.42/163.17 [5798]E(x57981,x57982)+~E(f326(f250(x57983,x57984),x57981),f326(f250(x57983,x57984),x57982))+~E(f326(f255(x57983,x57984),x57981),f326(f255(x57983,x57984),x57982))
% 163.42/163.17 [5825]E(x58251,x58252)+~P106(f326(f47(x58253,x58254),x58252))+~P106(f326(f47(x58253,x58254),x58251))
% 163.42/163.17 [6016]~P72(x60162)+E(f232(x60161,x60162,x60163,x60164),f2(x60162))+P106(f326(f60(x60161),x60164))
% 163.42/163.17 [6064]~P8(x60643,x60642)+~P106(f326(x60641,x60644))+P106(f326(x60641,f820(x60641,x60642,x60643)))
% 163.42/163.17 [6161]~P106(f326(f314(x61611,x61612),x61614))+P106(f326(f314(x61611,x61612),x61613))+~P106(f326(f326(x61612,x61613),x61614))
% 163.42/163.17 [6971]~P31(x69711,x69713,x69714)+P106(f326(x69711,x69712))+~P106(f326(f326(f328(a1),x69712),f302(a1,x69713,x69714)))
% 163.42/163.17 [7163]~P8(x71631,x71633)+~P106(f326(x71632,x71634))+P106(f326(f326(f328(x71631),f820(x71632,x71633,x71631)),f269(x71631,x71633)))
% 163.42/163.17 [8049]E(x80491,f2(a920))+~P106(f326(x80492,x80493))+P106(f326(x80492,f770(x80492,x80493,x80491,x80494)))
% 163.42/163.17 [8131]~P109(x81312)+~P106(f326(f137(x81311),x81314))+P106(f326(f137(x81311),f150(x81311,x81312,x81313,x81314)))
% 163.42/163.17 [8176]E(f67(x81761,x81762,x81763),f84(x81761,x81763))+~P106(f326(x81763,x81764))+P106(f326(x81763,f775(x81762,x81761,x81763,x81764)))
% 163.42/163.17 [8357]~P106(f326(f60(x83572),x83574))+~P106(f326(f60(x83571),x83573))+P106(f326(f60(f926(x83571,x83572)),f312(x83571,x83572,x83573,x83574)))
% 163.42/163.17 [8358]~P106(f326(f137(x83582),x83584))+~P106(f326(f137(x83581),x83583))+P106(f326(f137(f927(x83581,x83582)),f58(x83581,x83582,x83583,x83584)))
% 163.42/163.17 [8361]P106(f326(f326(f328(f921(x83611)),f326(f326(f134(x83611),x83612),x83613)),f161(x83611,x83614)))+~P106(f326(f326(f328(f921(x83611)),x83613),f161(x83611,x83614)))+~P106(f326(f326(f328(f921(x83611)),x83612),f161(x83611,x83614)))
% 163.42/163.17 [8637]E(x86371,f2(a920))+P106(f326(x86372,x86373))+~P106(f326(x86372,f771(x86372,x86373,x86371,x86374)))
% 163.42/163.17 [8674]~P109(x86743)+~P106(f326(f137(x86741),f150(x86741,x86743,x86744,x86742)))+P106(f326(f137(x86741),x86742))
% 163.42/163.17 [8960]~P106(f326(f326(f328(f927(x89601,x89601)),f326(f326(f251(x89601,x89601),x89602),x89604)),f306(x89601,x89603)))+P106(f326(f326(f328(x89601),x89602),f315(x89601,x89603)))+~P106(f326(f326(f328(x89601),x89604),f315(x89601,x89603)))
% 163.42/163.17 [5321]~P72(x53212)+E(f326(f326(f8(x53211,x53212),x53213),x53214),f2(x53212))+P106(f326(f60(x53211),x53214))
% 163.42/163.17 [5324]~P77(x53242)+E(f326(f326(f11(x53241,x53242),x53243),x53244),f77(x53242))+P106(f326(f60(x53241),x53244))
% 163.42/163.17 [5465]~P73(x54653)+E(x54651,x54652)+~E(f326(f326(f79(x54653),x54654),x54651),f326(f326(f79(x54653),x54654),x54652))
% 163.42/163.17 [5466]~P74(x54663)+E(x54661,x54662)+~E(f326(f326(f79(x54663),x54664),x54661),f326(f326(f79(x54663),x54664),x54662))
% 163.42/163.17 [5468]~P73(x54683)+E(x54681,x54682)+~E(f326(f326(f79(x54683),x54681),x54684),f326(f326(f79(x54683),x54682),x54684))
% 163.42/163.17 [5562]~P123(x55621)+~E(x55623,f326(f326(f80(x55621),x55622),x55624))+P106(f326(f326(f286(x55621),x55622),x55623))
% 163.42/163.17 [5590]~P6(x55903)+E(x55901,f189(f928(x55902,a916)))+E(f326(f326(f38(x55902,x55903),x55901),f326(f18(x55903,x55902),x55904)),x55904)
% 163.42/163.17 [5591]~P6(x55913)+E(x55911,f189(f928(x55912,a916)))+E(f326(f326(f39(x55912,x55913),x55911),f326(f18(x55913,x55912),x55914)),x55914)
% 163.42/163.17 [5744]~E(x57444,f189(f928(x57441,a916)))+~E(x57444,f326(f326(f308(x57441),x57442),x57443))+P106(f326(f326(f328(x57441),x57442),x57443))
% 163.42/163.17 [5811]~P110(x58113)+E(x58111,x58112)+~E(f302(x58113,x58114,x58111),f326(f326(f308(x58113),x58112),f189(f928(x58113,a916))))
% 163.42/163.17 [5812]~P110(x58123)+E(x58121,x58122)+~E(f302(x58123,x58121,x58122),f326(f326(f308(x58123),x58124),f189(f928(x58123,a916))))
% 163.42/163.17 [5872]~P37(x58723,x58721,x58724)+P37(x58723,x58721,f326(f326(f151(x58723),x58722),x58724))+P106(f326(x58721,x58722))
% 163.42/163.17 [5974]~P33(x59741,x59742,x59744)+~P106(f326(x59742,x59743))+P33(x59741,x59742,f326(f326(f151(x59741),x59743),x59744))
% 163.42/163.17 [6116]P106(f326(x61161,x61162))+~P106(f326(f247(x61163,x61161),x61164))+~P106(f326(f326(f328(x61163),x61162),x61164))
% 163.42/163.17 [6125]~P33(x61251,x61252,x61254)+~P33(x61251,x61252,x61253)+P33(x61251,x61252,f326(f326(f134(x61251),x61253),x61254))
% 163.42/163.17 [6140]P35(x61401,x61402,x61403)+~P35(x61401,x61402,f326(f326(f151(x61401),x61404),x61403))+P106(f326(x61402,x61404))
% 163.42/163.17 [6141]P37(x61411,x61412,x61413)+~P37(x61411,x61412,f326(f326(f151(x61411),x61414),x61413))+P106(f326(x61412,x61414))
% 163.42/163.17 [6216]P35(x62161,x62162,x62163)+P35(x62161,x62162,x62164)+~P35(x62161,x62162,f326(f326(f134(x62161),x62164),x62163))
% 163.42/163.17 [6237]~P72(x62371)+E(f326(f326(f8(a920,x62371),x62372),f326(f301(a920,x62373),f326(a112,x62374))),f2(x62371))+~P106(f326(f326(f235(a920),x62374),x62373))
% 163.42/163.17 [6242]~P63(x62421)+~E(f44(x62421,x62422,x62423),f44(x62421,x62424,x62423))+E(f44(x62421,f326(f78(x62421),x62422),x62423),f44(x62421,f326(f78(x62421),x62424),x62423))
% 163.42/163.17 [6314]P106(f326(x63141,x63142))+~E(f326(f136(x63143,x63141),x63144),x63144)+~P106(f326(f326(f328(x63143),x63142),f326(f172(x63143),x63144)))
% 163.42/163.17 [6334]~E(f326(f326(f79(a920),x63343),x63342),f326(f326(f79(a920),x63341),x63344))+~P106(f326(f326(f235(a920),x63343),x63344))+P106(f326(f326(f235(a920),x63341),x63342))
% 163.42/163.17 [6340]P35(x63401,x63402,x63403)+~P106(f326(x63402,x63404))+~P106(f326(f326(f328(x63401),x63404),f326(f172(x63401),x63403)))
% 163.42/163.17 [6381]~P33(x63813,x63811,x63814)+P106(f326(x63811,x63812))+~P106(f326(f326(f328(x63813),x63812),f326(f172(x63813),x63814)))
% 163.42/163.17 [6383]~E(f326(f136(x63831,x63832),x63833),f113(x63831))+~P106(f326(x63832,x63834))+~P106(f326(f326(f328(x63831),x63834),f326(f172(x63831),x63833)))
% 163.42/163.17 [6384]~E(f177(x63843,x63841,x63844),x63844)+P106(f326(x63841,x63842))+~P106(f326(f326(f328(x63843),x63842),f326(f172(x63843),x63844)))
% 163.42/163.17 [6410]~E(x64104,f189(f928(x64102,a916)))+~E(x64103,f189(f928(x64101,a916)))+E(f312(x64101,x64102,x64103,x64104),f189(f928(f926(x64101,x64102),a916)))
% 163.42/163.17 [6560]P106(f326(x65601,x65602))+~P106(f326(f160(x65603,x65601),x65604))+~P106(f326(f326(f328(x65603),x65602),f326(f172(x65603),x65604)))
% 163.42/163.17 [6696]~P32(x66961,x66963,x66964)+P106(f326(x66961,x66962))+~P106(f326(f326(f328(a920),x66962),f326(f301(a920,x66963),x66964)))
% 163.42/163.17 [6834]~P72(x68341)+E(f326(f326(f8(a920,x68341),x68342),f302(a920,x68343,f326(a112,x68344))),f2(x68341))+~P106(f326(f326(f235(a920),f326(a112,x68344)),x68343))
% 163.42/163.17 [6974]~P109(x69741)+E(f326(f326(f3(f928(x69741,a916)),f326(f301(x69741,x69742),x69743)),f326(f301(x69741,x69742),x69744)),f326(f301(x69741,x69744),x69743))+~P106(f326(f326(f234(x69741),x69742),x69744))
% 163.42/163.17 [7045]~E(x70453,x70454)+E(x70451,f2(a920))+P106(f326(f326(f328(x70452),x70453),f326(f172(x70452),f169(x70452,x70451,x70454))))
% 163.42/163.17 [7326]~P106(f326(f326(f328(f921(x73261)),x73264),f161(x73261,x73263)))+P106(f326(f326(f328(x73261),x73262),x73263))+~P106(f326(f326(f328(x73261),x73262),f326(f172(x73261),x73264)))
% 163.42/163.17 [7333]~P39(x73331,x73332)+P106(f326(f326(f328(x73331),f618(x73332,x73331,x73333)),x73333))+~P106(f326(f326(f328(x73331),x73334),x73333))
% 163.42/163.17 [7390]~P72(x73901)+E(f326(f326(f326(f64(x73901,x73902,f79(x73901)),x73903),f2(x73901)),x73904),f326(f326(f8(x73902,x73901),x73903),x73904))+~P106(f326(f60(x73902),x73904))
% 163.42/163.17 [7392]~P77(x73921)+E(f326(f326(f326(f64(x73921,x73922,f80(x73921)),x73923),f77(x73921)),x73924),f326(f326(f11(x73922,x73921),x73923),x73924))+~P106(f326(f60(x73922),x73924))
% 163.42/163.17 [7421]P26(x74211,x74212,x74213,x74214)+~E(f326(f34(x74212),f326(f309(x74211,x74212,x74213),x74214)),f326(f34(x74211),x74214))+~P106(f326(f60(x74211),x74214))
% 163.42/163.17 [7611]~P72(x76111)+E(f326(f326(f79(x76111),f326(x76112,x76113)),f326(f326(f8(a920,x76111),x76112),f304(a920,x76113,x76114))),f326(f326(f8(a920,x76111),x76112),f302(a920,x76113,x76114)))+~P106(f326(f326(f234(a920),x76113),x76114))
% 163.42/163.17 [7621]~P72(x76211)+~P26(x76212,x76211,x76213,x76214)+E(f326(f326(f8(x76211,x76211),f31(x76211)),f326(f309(x76212,x76211,x76213),x76214)),f326(f326(f8(x76212,x76211),x76213),x76214))
% 163.42/163.17 [7622]~P77(x76221)+~P26(x76222,x76221,x76223,x76224)+E(f326(f326(f11(x76221,x76221),f31(x76221)),f326(f309(x76222,x76221,x76223),x76224)),f326(f326(f11(x76222,x76221),x76223),x76224))
% 163.42/163.17 [7671]E(f326(f34(f926(x76711,x76712)),f312(x76711,x76712,x76713,x76714)),f326(f326(f79(a920),f326(f34(x76711),x76713)),f326(f34(x76712),x76714)))+~P106(f326(f60(x76712),x76714))+~P106(f326(f60(x76711),x76713))
% 163.42/163.17 [7752]E(x77521,x77522)+P106(f326(f326(f328(x77523),x77521),f326(f172(x77523),f170(x77523,x77522,x77524))))+~P106(f326(f326(f328(x77523),x77521),f326(f172(x77523),x77524)))
% 163.42/163.17 [7980]~P72(x79801)+E(f326(f326(f79(x79801),f326(f326(f8(a920,x79801),x79802),f326(f301(a920,x79803),x79804))),f326(x79802,x79804)),f326(f326(f8(a920,x79801),x79802),f326(f301(a920,x79803),f326(a112,x79804))))+P106(f326(f326(f235(a920),x79804),x79803))
% 163.42/163.17 [8029]~P26(x80291,x80292,x80293,f241(f928(x80291,a916)))+~P106(f326(f60(x80292),x80294))+P106(f326(f60(x80291),f326(f310(x80291,x80292,x80293),x80294)))
% 163.42/163.17 [8146]P106(f326(f326(f328(f921(x81461)),f326(f326(f151(x81461),x81462),x81463)),f161(x81461,x81464)))+~P106(f326(f326(f328(f921(x81461)),x81463),f161(x81461,x81464)))+~P106(f326(f326(f328(x81461),x81462),x81464))
% 163.42/163.17 [8233]~E(f326(f309(x82333,x82331,x82334),f241(f928(x82333,a916))),f241(f928(x82331,a916)))+P106(f326(f60(x82331),x82332))+~P106(f326(f60(x82333),f326(f310(x82333,x82331,x82334),x82332)))
% 163.42/163.17 [8327]~P26(x83271,x83273,x83274,x83272)+P106(f326(f60(x83271),x83272))+~P106(f326(f60(x83273),f326(f309(x83271,x83273,x83274),x83272)))
% 163.42/163.17 [8351]~E(x83512,x83513)+P106(f326(f326(f328(f927(x83511,x83511)),f326(f326(f251(x83511,x83511),x83512),x83513)),f262(x83511,x83514)))+~P106(f326(f326(f328(x83511),x83512),x83514))
% 163.42/163.17 [8384]~P72(x83841)+E(f326(f326(f79(x83841),f326(f326(f8(a920,x83841),x83842),f302(a920,x83843,x83844))),f326(x83842,f326(a112,x83844))),f326(f326(f8(a920,x83841),x83842),f302(a920,x83843,f326(a112,x83844))))+P106(f326(f326(f235(a920),f326(a112,x83844)),x83843))
% 163.42/163.17 [8444]P106(f326(x84441,x84442))+~P106(f326(x84441,f326(f326(f164(x84443),x84444),f662(x84441,x84444,x84443))))+~P106(f326(f326(f328(x84443),x84442),f326(f172(x84443),x84444)))
% 163.42/163.17 [8583]~P106(f326(f326(f328(x85831),x85832),f315(x85831,x85834)))+P106(f326(f326(f328(f921(x85831)),f326(f326(f151(x85831),x85832),x85833)),f315(f921(x85831),f157(x85831,x85834))))+~P106(f326(f326(f328(f921(x85831)),x85833),f315(f921(x85831),f157(x85831,x85834))))
% 163.42/163.17 [8598]~P26(x85982,x85983,x85984,f532(x85984,x85983,x85982,x85981))+P26(x85982,x85983,x85984,f37(f928(x85982,a916),x85981))+E(x85981,f189(f928(f928(x85982,a916),a916)))
% 163.42/163.17 [8868]E(x88681,x88682)+~P106(f326(f326(f328(f927(x88683,x88683)),f326(f326(f251(x88683,x88683),x88681),x88682)),f306(x88683,x88684)))+P106(f326(f326(f328(x88683),x88681),f326(f263(x88683,x88683),x88684)))
% 163.42/163.17 [9147]E(x91471,f2(a920))+P106(f326(x91472,x91473))+P106(f326(f326(f328(x91474),f771(x91472,x91473,x91471,x91474)),f326(f172(x91474),f169(x91474,x91471,x91473))))
% 163.42/163.17 [9159]E(x91591,f2(a920))+~P106(f326(x91593,x91594))+P106(f326(f326(f328(x91592),f770(x91593,x91594,x91591,x91592)),f326(f172(x91592),f169(x91592,x91591,x91594))))
% 163.42/163.17 [9161]~P27(x91611,x91612,x91613,f241(f928(x91611,a916)),f241(f928(x91612,a916)))+~P106(f326(f60(x91612),x91614))+P106(f326(f60(x91611),f326(f310(x91611,x91612,x91613),x91614)))
% 163.42/163.17 [9164]P26(x91642,x91643,x91644,f37(f928(x91642,a916),x91641))+E(x91641,f189(f928(f928(x91642,a916),a916)))+P106(f326(f326(f328(f928(x91642,a916)),f532(x91644,x91643,x91642,x91641)),x91641))
% 163.42/163.17 [9279]~P27(x92793,x92791,x92794,f241(f928(x92793,a916)),f241(f928(x92791,a916)))+P106(f326(f60(x92791),x92792))+~P106(f326(f60(x92793),f326(f310(x92793,x92791,x92794),x92792)))
% 163.42/163.17 [9296]P106(f326(f60(x92961),x92962))+~P106(f326(f60(x92964),f326(f309(x92961,x92964,x92963),x92962)))+P106(f326(f326(f328(x92961),f576(x92963,x92964,x92962,x92961)),x92962))
% 163.42/163.17 [9390]~P6(x93902)+E(f326(f326(f63(x93901,x93902,f326(f326(f10(x93902,f928(x93902,x93902),x93901),f101(x93902)),x93903)),f241(x93902)),x93904),f326(f326(f38(x93901,x93902),x93904),x93903))+~P106(f326(f60(x93901),x93904))
% 163.42/163.17 [9391]~P6(x93912)+E(f326(f326(f63(x93911,x93912,f326(f326(f10(x93912,f928(x93912,x93912),x93911),f110(x93912)),x93913)),f189(x93912)),x93914),f326(f326(f39(x93911,x93912),x93914),x93913))+~P106(f326(f60(x93911),x93914))
% 163.42/163.17 [9421]~P106(f326(f326(f286(a920),x94213),x94214))+P106(f326(f326(f286(a920),x94211),x94212))+P106(f326(f326(f235(f928(a920,a916)),f289(a920,f286(a920),x94211,x94212)),f289(a920,f286(a920),x94213,x94214)))
% 163.42/163.17 [9476]P106(f326(x94761,x94762))+~P106(f326(x94761,f326(f326(f164(x94763),x94764),f701(x94762,x94761,x94764,x94763))))+~P106(f326(f326(f328(x94763),x94762),f326(f172(x94763),x94764)))
% 163.42/163.17 [9497]E(x94971,x94972)+~P106(f326(f326(f328(f927(x94973,x94973)),f326(f326(f251(x94973,x94973),x94971),x94972)),f306(x94973,x94974)))+P106(f326(f326(f328(f927(x94973,x94973)),f326(f326(f251(x94973,x94973),x94971),x94972)),f326(f326(f288(x94973,x94973,x94973),x94974),f306(x94973,x94974))))
% 163.42/163.17 [9547]~E(f326(f190(f921(x95471)),x95472),f326(f190(f921(x95471)),x95473))+~P106(f326(f326(f328(f927(f921(x95471),f921(x95471))),f326(f326(f251(f921(x95471),f921(x95471)),x95472),x95473)),f147(x95471,x95474)))+P106(f326(f326(f328(f927(f921(x95471),f921(x95471))),f326(f326(f251(f921(x95471),f921(x95471)),x95472),x95473)),f145(x95471,x95474)))
% 163.42/163.17 [9670]P106(f326(f326(f286(a920),x96701),x96702))+~P106(f326(f326(f286(a920),x96703),x96701))+~P106(f326(f326(f235(f928(a920,a916)),f289(a920,f286(a920),x96703,x96701)),f289(a920,f286(a920),x96704,x96702)))
% 163.42/163.17 [9671]P106(f326(f326(f286(a920),x96711),x96712))+~P106(f326(f326(f286(a920),x96712),x96713))+~P106(f326(f326(f235(f928(a920,a916)),f289(a920,f286(a920),x96712,x96713)),f289(a920,f286(a920),x96711,x96714)))
% 163.42/163.17 [9791]P33(x97911,f326(f326(f20(x97911,a916,a916),f326(f326(f10(a916,f928(a916,a916),x97911),a325),f326(f326(f10(a916,a916,x97911),a321),x97912))),f326(a323,x97913)),x97914)+~P106(f326(x97912,x97913))+~P37(x97911,x97912,f326(f326(f151(x97911),x97913),x97914))
% 163.42/163.17 [9956]~P33(x99561,f326(f326(f20(x99561,a916,a916),f326(f326(f10(a916,f928(a916,a916),x99561),a325),f326(f326(f10(a916,a916,x99561),a321),x99562))),f326(a323,x99563)),x99564)+~P106(f326(x99562,x99563))+P37(x99561,x99562,f326(f326(f151(x99561),x99563),x99564))
% 163.42/163.17 [9960]~P37(x99601,x99602,x99604)+~P33(x99601,f326(f326(f20(x99601,a916,a916),f326(f326(f10(a916,f928(a916,a916),x99601),a325),f326(f326(f10(a916,a916,x99601),a321),x99602))),f326(a323,x99603)),x99604)+P37(x99601,x99602,f326(f326(f151(x99601),x99603),x99604))
% 163.42/163.17 [9993]~P69(x99931)+E(f326(f326(f8(a920,x99931),f326(f326(f20(a920,x99931,x99931),f326(f326(f10(x99931,f928(x99931,x99931),a920),f3(x99931)),x99932)),f326(f326(f10(a920,x99931,a920),x99932),f326(f326(f9(a920,a920,a920),f79(a920)),f77(a920))))),f302(a920,x99933,x99934)),f2(x99931))+P106(f326(f326(f234(a920),x99933),x99934))
% 163.42/163.17 [10233]~P39(x102332,x102334)+~P26(x102332,x102331,x102333,f241(f928(x102332,a916)))+P39(x102331,f326(f309(f927(x102332,x102332),f927(x102331,x102331),f257(x102332,x102331,x102332,x102331,x102333,x102333)),x102334))
% 163.42/163.17 [10426]~E(f326(f190(f921(x104261)),x104263),f326(f190(f921(x104261)),x104262))+P106(f326(f326(f328(f927(f921(x104261),f921(x104261))),f326(f326(f251(f921(x104261),f921(x104261)),x104262),x104263)),f158(x104261,x104264)))+~P106(f326(f326(f256(x104261,x104261,a916),f326(f326(f9(x104261,f928(f927(x104261,x104261),a916),f928(x104261,a916)),f326(f326(f10(f928(x104261,f928(f928(f927(x104261,x104261),a916),a916)),f928(f928(f927(x104261,x104261),a916),f928(x104261,a916)),x104261),f9(x104261,f928(f927(x104261,x104261),a916),a916)),f326(f326(f10(f928(x104261,f927(x104261,x104261)),f928(x104261,f928(f928(f927(x104261,x104261),a916),a916)),x104261),f326(f10(f927(x104261,x104261),f928(f928(f927(x104261,x104261),a916),a916),x104261),f328(f927(x104261,x104261)))),f251(x104261,x104261)))),x104264)),f666(x104264,x104263,x104262,x104261)))
% 163.42/163.17 [6295]~P62(x62951)+~E(x62952,f2(x62951))+E(f326(f326(f35(x62951),f326(f326(f80(x62951),x62952),x62953)),f326(f326(f80(x62951),x62952),x62954)),f2(x62951))
% 163.42/163.17 [6337]E(x63371,f113(x63372))+E(x63373,f326(f326(f3(a920),f326(f190(f921(x63372)),x63371)),f77(a920)))+E(f144(x63372,f326(f326(f159(x63372,x63371),x63373),x63374)),f144(x63372,x63371))
% 163.42/163.17 [6372]E(x63721,x63722)+P106(f326(x63723,x63722))+~P106(f326(f326(f326(f308(x63724),x63721),x63723),x63722))
% 163.42/163.17 [6388]~P72(x63881)+~P106(f326(f137(x63882),x63884))+E(f326(f165(x63881),f326(f326(f154(x63882,x63881),x63883),x63884)),f326(f326(f8(x63882,x63881),x63883),f326(f172(x63882),x63884)))
% 163.42/163.17 [6403]~P77(x64032)+~P106(f326(f60(x64031),x64034))+E(f326(f326(f11(x64031,x64032),f326(f18(x64032,x64031),x64033)),x64034),f326(f326(f243(x64032),x64033),f326(f34(x64031),x64034)))
% 163.42/163.17 [6456]~P65(x64562)+E(x64561,f2(x64562))+E(f326(f326(f290(x64562),f326(f326(f80(x64562),x64563),x64561)),f326(f326(f80(x64562),x64564),x64561)),f326(f326(f290(x64562),x64563),x64564))
% 163.42/163.17 [6457]~P65(x64572)+E(x64571,f2(x64572))+E(f326(f326(f290(x64572),f326(f326(f80(x64572),x64571),x64573)),f326(f326(f80(x64572),x64571),x64574)),f326(f326(f290(x64572),x64573),x64574))
% 163.42/163.17 [6458]~P62(x64582)+E(x64581,f2(x64582))+E(f326(f326(f35(x64582),f326(f326(f80(x64582),x64583),x64581)),f326(f326(f80(x64582),x64584),x64581)),f326(f326(f35(x64582),x64583),x64584))
% 163.42/163.17 [6460]~P62(x64602)+E(x64601,f2(x64602))+E(f326(f326(f35(x64602),f326(f326(f80(x64602),x64601),x64603)),f326(f326(f80(x64602),x64601),x64604)),f326(f326(f35(x64602),x64603),x64604))
% 163.42/163.17 [6528]P106(f326(x65281,x65282))+~E(x65283,f326(f326(f79(a920),x65284),x65282))+~P106(f326(x65281,f326(f326(f3(a920),x65283),x65284)))
% 163.42/163.17 [6613]~P106(f326(x66132,x66133))+~P106(f326(f160(x66131,x66132),x66134))+P106(f326(f160(x66131,x66132),f326(f326(f151(x66131),x66133),x66134)))
% 163.42/163.17 [6653]E(x66531,f113(x66532))+~E(x66533,f326(f326(f3(a920),f326(f190(f921(x66532)),x66531)),f77(a920)))+E(f144(x66532,f326(f326(f159(x66532,x66531),x66533),x66534)),x66534)
% 163.42/163.17 [6676]~P101(x66761)+~P106(f326(f326(f234(x66761),x66762),x66764))+P106(f326(f326(f234(x66761),x66762),f326(f326(f110(x66761),x66763),x66764)))
% 163.42/163.17 [6677]~P101(x66771)+~P106(f326(f326(f234(x66771),x66772),x66773))+P106(f326(f326(f234(x66771),x66772),f326(f326(f110(x66771),x66773),x66774)))
% 163.42/163.17 [6679]~P109(x66791)+~P106(f326(f326(f234(x66791),x66792),x66794))+P106(f326(f326(f234(x66791),x66792),f326(f326(f233(x66791),x66793),x66794)))
% 163.42/163.17 [6681]~P109(x66811)+~P106(f326(f326(f234(x66811),x66812),x66813))+P106(f326(f326(f234(x66811),x66812),f326(f326(f233(x66811),x66813),x66814)))
% 163.42/163.17 [6682]~P101(x66821)+~P106(f326(f326(f235(x66821),x66822),x66824))+P106(f326(f326(f235(x66821),x66822),f326(f326(f110(x66821),x66823),x66824)))
% 163.42/163.17 [6683]~P101(x66831)+~P106(f326(f326(f235(x66831),x66832),x66833))+P106(f326(f326(f235(x66831),x66832),f326(f326(f110(x66831),x66833),x66834)))
% 163.42/163.17 [6685]~P109(x66851)+~P106(f326(f326(f235(x66851),x66852),x66854))+P106(f326(f326(f235(x66851),x66852),f326(f326(f233(x66851),x66853),x66854)))
% 163.42/163.17 [6687]~P109(x66871)+~P106(f326(f326(f235(x66871),x66872),x66873))+P106(f326(f326(f235(x66871),x66872),f326(f326(f233(x66871),x66873),x66874)))
% 163.42/163.17 [6688]~P113(x66881)+~P106(f326(f326(f286(x66881),x66882),x66884))+P106(f326(f326(f286(x66881),x66882),f326(f326(f80(x66881),x66883),x66884)))
% 163.42/163.17 [6689]~P113(x66891)+~P106(f326(f326(f286(x66891),x66892),x66893))+P106(f326(f326(f286(x66891),x66892),f326(f326(f80(x66891),x66893),x66894)))
% 163.42/163.17 [6779]~E(f326(f326(f164(x67791),x67792),x67793),x67794)+E(f326(f326(f159(x67791,x67792),x67793),x67794),x67792)+~P106(f326(f326(f235(a920),x67793),f326(f190(f921(x67791)),x67792)))
% 163.42/163.17 [6818]P106(f326(x68181,x68182))+~P106(f326(x68183,x68182))+~P106(f326(f326(f234(f928(x68184,a916)),x68183),x68181))
% 163.42/163.17 [6851]~E(f326(f326(f159(x68511,x68512),x68513),x68514),x68512)+E(f326(f326(f164(x68511),x68512),x68513),x68514)+~P106(f326(f326(f235(a920),x68513),f326(f190(f921(x68511)),x68512)))
% 163.42/163.17 [6865]~P106(f326(f160(x68651,x68652),x68654))+~P106(f326(f160(x68651,x68652),x68653))+P106(f326(f160(x68651,x68652),f326(f326(f134(x68651),x68653),x68654)))
% 163.42/163.17 [6970]E(x69701,f189(f928(x69702,a916)))+E(x69703,f189(f928(x69704,a916)))+~E(f326(f326(f253(x69704,x69702),x69703),f326(f18(f928(x69702,a916),x69704),x69701)),f189(f928(f927(x69704,x69702),a916)))
% 163.42/163.17 [6990]E(x69901,x69902)+P106(f326(f326(f328(x69903),x69901),x69904))+~P106(f326(f326(f328(x69903),x69901),f326(f326(f308(x69903),x69902),x69904)))
% 163.42/163.17 [7007]~P109(x70071)+P106(f326(f326(f234(x70071),x70072),x70073))+~P106(f326(f326(f234(x70071),x70072),f326(f326(f188(x70071),x70074),x70073)))
% 163.42/163.17 [7009]~P109(x70091)+P106(f326(f326(f234(x70091),x70092),x70093))+~P106(f326(f326(f234(x70091),x70092),f326(f326(f188(x70091),x70093),x70094)))
% 163.42/163.17 [7011]~P102(x70111)+P106(f326(f326(f234(x70111),x70112),x70113))+~P106(f326(f326(f234(x70111),x70112),f326(f326(f101(x70111),x70114),x70113)))
% 163.42/163.17 [7013]~P102(x70131)+P106(f326(f326(f234(x70131),x70132),x70133))+~P106(f326(f326(f234(x70131),x70132),f326(f326(f101(x70131),x70133),x70134)))
% 163.42/163.17 [7014]~P109(x70141)+P106(f326(f326(f235(x70141),x70142),x70143))+~P106(f326(f326(f235(x70141),x70142),f326(f326(f188(x70141),x70144),x70143)))
% 163.42/163.17 [7015]~P109(x70151)+P106(f326(f326(f235(x70151),x70152),x70153))+~P106(f326(f326(f235(x70151),x70152),f326(f326(f188(x70151),x70153),x70154)))
% 163.42/163.17 [7036]~E(f326(f326(f164(x70361),x70363),x70364),x70362)+P106(f326(f326(f328(x70361),x70362),f326(f172(x70361),x70363)))+~P106(f326(f326(f235(a920),x70364),f326(f190(f921(x70361)),x70363)))
% 163.42/163.17 [7046]~P109(x70461)+~P14(x70461,f326(f326(f151(x70461),x70462),f326(f326(f151(x70461),x70463),x70464)))+P106(f326(f326(f234(x70461),x70462),x70463))
% 163.42/163.17 [7190]~P33(x71902,x71901,x71903)+P106(f326(x71901,f326(f326(f164(x71902),x71903),x71904)))+~P106(f326(f326(f235(a920),x71904),f326(f190(f921(x71902)),x71903)))
% 163.42/163.17 [7208]E(x72081,f2(a1))+E(f326(f326(f35(a1),x72082),x72081),x72083)+~P106(f326(f48(x72082,x72081),f326(f326(f251(a1,a1),x72083),x72084)))
% 163.42/163.17 [7229]E(f44(a1,x72292,x72291),x72293)+E(x72291,f2(a1))+~P106(f326(f48(x72292,x72291),f326(f326(f251(a1,a1),x72294),x72293)))
% 163.42/163.17 [7350]P106(f326(f326(f328(x73501),x73502),x73503))+~P106(f326(f326(f328(x73501),x73502),x73504))+~P106(f326(f326(f235(f928(x73501,a916)),x73504),x73503))
% 163.42/163.17 [7351]P106(f326(f326(f328(x73511),x73512),x73513))+~P106(f326(f326(f328(x73511),x73512),x73514))+~P106(f326(f326(f234(f928(x73511,a916)),x73514),x73513))
% 163.42/163.17 [7362]~P122(x73621)+~E(x73623,f2(x73621))+P106(f326(f326(f286(x73621),f326(f326(f80(x73621),x73622),x73623)),f326(f326(f80(x73621),x73624),x73623)))
% 163.42/163.17 [7363]~P122(x73631)+~E(x73632,f2(x73631))+P106(f326(f326(f286(x73631),f326(f326(f80(x73631),x73632),x73633)),f326(f326(f80(x73631),x73632),x73634)))
% 163.42/163.17 [7465]P35(x74651,x74652,x74653)+~P106(f326(x74652,f326(f326(f164(x74651),x74653),x74654)))+~P106(f326(f326(f235(a920),x74654),f326(f190(f921(x74651)),x74653)))
% 163.42/163.17 [7577]~P108(x75772)+~P106(f326(f326(f235(f928(x75771,x75772)),x75773),x75774))+P106(f326(f326(f234(f928(x75771,x75772)),x75773),x75774))
% 163.42/163.17 [7660]~P25(x76601,x76602,x76604)+P25(x76601,x76602,f326(f326(f308(f919(x76601)),x76603),x76604))+~P25(x76601,x76602,f326(f326(f308(f919(x76601)),x76603),f189(f928(f919(x76601),a916))))
% 163.42/163.17 [7702]~P106(f326(f326(f328(x77021),x77022),x77024))+P106(f326(f326(f328(x77021),x77022),f36(f928(x77021,a916),x77023)))+~P106(f326(f326(f328(f928(x77021,a916)),x77024),x77023))
% 163.42/163.17 [7730]~P85(x77301)+~P106(f326(f326(f234(x77301),x77303),x77304))+P106(f326(f326(f234(x77301),f326(f326(f79(x77301),x77302),x77303)),f326(f326(f79(x77301),x77302),x77304)))
% 163.42/163.17 [7731]~P86(x77311)+~P106(f326(f326(f234(x77311),x77313),x77314))+P106(f326(f326(f234(x77311),f326(f326(f79(x77311),x77312),x77313)),f326(f326(f79(x77311),x77312),x77314)))
% 163.42/163.17 [7732]~P85(x77321)+~P106(f326(f326(f234(x77321),x77322),x77324))+P106(f326(f326(f234(x77321),f326(f326(f79(x77321),x77322),x77323)),f326(f326(f79(x77321),x77324),x77323)))
% 163.42/163.17 [7733]~P86(x77331)+~P106(f326(f326(f234(x77331),x77332),x77334))+P106(f326(f326(f234(x77331),f326(f326(f79(x77331),x77332),x77333)),f326(f326(f79(x77331),x77334),x77333)))
% 163.42/163.17 [7734]~P84(x77341)+~P106(f326(f326(f235(x77341),x77343),x77344))+P106(f326(f326(f235(x77341),f326(f326(f79(x77341),x77342),x77343)),f326(f326(f79(x77341),x77342),x77344)))
% 163.42/163.17 [7735]~P85(x77351)+~P106(f326(f326(f235(x77351),x77353),x77354))+P106(f326(f326(f235(x77351),f326(f326(f79(x77351),x77352),x77353)),f326(f326(f79(x77351),x77352),x77354)))
% 163.42/163.17 [7736]~P84(x77361)+~P106(f326(f326(f235(x77361),x77362),x77364))+P106(f326(f326(f235(x77361),f326(f326(f79(x77361),x77362),x77363)),f326(f326(f79(x77361),x77364),x77363)))
% 163.42/163.17 [7737]~P85(x77371)+~P106(f326(f326(f235(x77371),x77372),x77374))+P106(f326(f326(f235(x77371),f326(f326(f79(x77371),x77372),x77373)),f326(f326(f79(x77371),x77374),x77373)))
% 163.42/163.17 [7738]~P122(x77381)+~P106(f326(f326(f286(x77381),x77383),x77384))+P106(f326(f326(f286(x77381),f326(f326(f80(x77381),x77382),x77383)),f326(f326(f80(x77381),x77382),x77384)))
% 163.42/163.17 [7739]~P122(x77391)+~P106(f326(f326(f286(x77391),x77392),x77394))+P106(f326(f326(f286(x77391),f326(f326(f80(x77391),x77392),x77393)),f326(f326(f80(x77391),x77394),x77393)))
% 163.42/163.17 [7746]~P111(x77461)+~P95(x77461)+E(f326(f326(f3(x77461),f326(f326(f80(x77461),x77462),f326(f103(x77461),x77463))),f326(f326(f80(x77461),x77464),f326(f103(x77461),x77463))),f326(f326(f80(x77461),f326(f326(f3(x77461),x77462),x77464)),f326(f103(x77461),x77463)))
% 163.42/163.17 [7747]~P141(x77471)+~P95(x77471)+E(f326(f326(f79(x77471),f326(f326(f80(x77471),x77472),f326(f103(x77471),x77473))),f326(f326(f80(x77471),x77474),f326(f103(x77471),x77473))),f326(f326(f80(x77471),f326(f326(f79(x77471),x77472),x77474)),f326(f103(x77471),x77473)))
% 163.42/163.17 [7783]~P72(x77831)+E(f326(f326(f79(x77831),f326(x77832,x77833)),f326(f326(f8(a920,x77831),x77832),f302(a920,f326(a112,x77833),x77834))),f326(f326(f8(a920,x77831),x77832),f302(a920,x77833,x77834)))+~P106(f326(f326(f234(a920),x77833),x77834))
% 163.42/163.17 [7795]~P26(x77952,x77951,x77953,f326(f172(x77952),x77954))+~P106(f326(f137(x77952),x77954))+P106(f326(f137(x77951),f326(f326(f154(x77952,x77951),x77953),x77954)))
% 163.42/163.17 [7844]~P106(f326(f326(f234(a920),x78442),x78444))+~P106(f326(f326(f234(a920),x78441),x78443))+P106(f326(f326(f234(a920),f326(f326(f80(a920),x78441),x78442)),f326(f326(f80(a920),x78443),x78444)))
% 163.42/163.17 [7845]~P106(f326(f326(f234(a920),x78452),x78454))+~P106(f326(f326(f234(a920),x78451),x78453))+P106(f326(f326(f234(a920),f326(f326(f79(a920),x78451),x78452)),f326(f326(f79(a920),x78453),x78454)))
% 163.42/163.17 [7848]~P106(f326(f326(f235(a920),x78482),x78484))+~P106(f326(f326(f235(a920),x78481),x78483))+P106(f326(f326(f235(a920),f326(f326(f79(a920),x78481),x78482)),f326(f326(f79(a920),x78483),x78484)))
% 163.42/163.17 [7849]~P106(f326(f326(f234(a1),x78492),x78494))+~P106(f326(f326(f235(a1),x78491),x78493))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x78491),x78492)),f326(f326(f79(a1),x78493),x78494)))
% 163.42/163.17 [7897]P106(f326(f326(f328(x78971),x78972),x78973))+~P106(f326(f326(f328(x78971),x78972),f37(f928(x78971,a916),x78974)))+~P106(f326(f326(f328(f928(x78971,a916)),x78973),x78974))
% 163.42/163.17 [7913]~P106(f326(x79131,f660(x79131,x79133,x79132)))+P106(f326(x79131,f326(f326(f164(x79132),x79133),x79134)))+~P106(f326(f326(f235(a920),x79134),f326(f190(f921(x79132)),x79133)))
% 163.42/163.17 [7918]P106(f326(x79181,x79182))+~P106(f326(f326(f328(x79184),x79182),f326(f172(x79184),x79183)))+P106(f326(f326(f235(a920),f662(x79181,x79183,x79184)),f326(f190(f921(x79184)),x79183)))
% 163.42/163.17 [7965]~P108(x79651)+~P106(f326(f326(f235(f928(x79652,x79651)),x79654),x79653))+~P106(f326(f326(f234(f928(x79652,x79651)),x79653),x79654))
% 163.42/163.17 [8008]~P106(f326(x80084,x80082))+~P106(f326(f326(f328(x80081),x80082),x80083))+P106(f326(f326(f328(x80081),x80082),f326(f326(f101(f928(x80081,a916)),x80083),f326(f261(x80081),x80084))))
% 163.42/163.17 [8153]~P106(f326(f326(f328(x81531),x81533),x81534))+~P106(f326(f326(f235(f928(x81531,a916)),x81532),x81534))+P106(f326(f326(f235(f928(x81531,a916)),x81532),f326(f326(f308(x81531),x81533),x81534)))
% 163.42/163.17 [8155]E(f326(f326(f101(f928(x81551,a916)),x81552),x81553),f189(f928(x81551,a916)))+~E(f326(f326(f101(f928(x81551,a916)),f36(f928(x81551,a916),x81554)),x81553),f189(f928(x81551,a916)))+~P106(f326(f326(f328(f928(x81551,a916)),x81552),x81554))
% 163.42/163.17 [8229]P106(f326(f326(f328(x82291),x82292),x82293))+~P106(f326(f326(f234(f928(x82291,a916)),x82293),f326(f326(f308(x82291),x82292),x82294)))+P106(f326(f326(f234(f928(x82291,a916)),x82293),x82294))
% 163.42/163.17 [8246]P106(f326(f326(f328(x82462),f660(x82461,x82463,x82462)),f326(f172(x82462),x82463)))+P106(f326(x82461,f326(f326(f164(x82462),x82463),x82464)))+~P106(f326(f326(f235(a920),x82464),f326(f190(f921(x82462)),x82463)))
% 163.42/163.17 [8254]~P106(f326(f326(f234(f928(x82541,a916)),x82542),x82544))+P106(f326(f326(f234(f928(x82541,a916)),x82542),x82543))+~P106(f326(f326(f234(f928(x82541,a916)),x82544),x82543))
% 163.42/163.17 [8255]~P106(f326(f326(f235(f928(x82551,a916)),x82552),x82554))+~P106(f326(f326(f234(f928(x82551,a916)),x82554),x82553))+P106(f326(f326(f235(f928(x82551,a916)),x82552),x82553))
% 163.42/163.17 [8256]~P106(f326(f326(f234(f928(x82561,a916)),x82562),x82564))+~P106(f326(f326(f235(f928(x82561,a916)),x82564),x82563))+P106(f326(f326(f235(f928(x82561,a916)),x82562),x82563))
% 163.42/163.17 [8257]~P106(f326(f326(f235(f928(x82571,a916)),x82572),x82574))+P106(f326(f326(f235(f928(x82571,a916)),x82572),x82573))+~P106(f326(f326(f235(f928(x82571,a916)),x82574),x82573))
% 163.42/163.17 [8300]~P106(f326(f326(f328(x83001),x83004),x83003))+~P106(f326(f326(f235(f928(x83001,a916)),x83002),f326(f326(f308(x83001),x83004),x83003)))+P106(f326(f326(f235(f928(x83001,a916)),x83002),x83003))
% 163.42/163.17 [8311]~P85(x83111)+P106(f326(f326(f234(x83111),x83112),x83113))+~P106(f326(f326(f234(x83111),f326(f326(f79(x83111),x83114),x83112)),f326(f326(f79(x83111),x83114),x83113)))
% 163.42/163.17 [8313]~P85(x83131)+P106(f326(f326(f234(x83131),x83132),x83133))+~P106(f326(f326(f234(x83131),f326(f326(f79(x83131),x83132),x83134)),f326(f326(f79(x83131),x83133),x83134)))
% 163.42/163.17 [8315]~P85(x83151)+P106(f326(f326(f235(x83151),x83152),x83153))+~P106(f326(f326(f235(x83151),f326(f326(f79(x83151),x83154),x83152)),f326(f326(f79(x83151),x83154),x83153)))
% 163.42/163.17 [8317]~P85(x83171)+P106(f326(f326(f235(x83171),x83172),x83173))+~P106(f326(f326(f235(x83171),f326(f326(f79(x83171),x83172),x83174)),f326(f326(f79(x83171),x83173),x83174)))
% 163.42/163.17 [8368]P106(f326(x83681,x83682))+~E(f326(f326(f138(x83683),f326(f190(f921(x83683)),f177(x83683,x83681,x83684))),x83684),f113(x83683))+~P106(f326(f326(f328(x83683),x83682),f326(f172(x83683),x83684)))
% 163.42/163.17 [8486]P106(f326(x84861,x84862))+~P106(f326(f326(f328(x84863),x84862),f326(f172(x84863),x84864)))+P106(f326(f326(f235(a920),f326(f190(f921(x84863)),f326(f136(x84863,x84861),x84864))),f326(f190(f921(x84863)),x84864)))
% 163.42/163.17 [8976]~P106(f326(x89761,f753(x89761,x89763,x89762,x89764)))+P106(f326(x89761,f326(f326(f164(x89762),x89763),x89764)))+~P106(f326(f326(f235(a920),x89764),f326(f190(f921(x89762)),x89763)))
% 163.42/163.17 [9000]~P26(x90004,x90003,x90001,f241(f928(x90004,a916)))+E(f326(x90001,f502(x90002,x90001,x90003,x90004)),x90002)+~P106(f326(f326(f328(x90003),x90002),f326(f309(x90004,x90003,x90001),f241(f928(x90004,a916)))))
% 163.42/163.17 [9068]E(f177(x90681,x90682,x90683),f326(f326(f175(x90681),x90684),x90683))+P106(f326(f326(f235(a920),f724(x90682,x90683,x90681,x90684)),x90684))+P106(f326(f326(f235(a920),x90684),f326(f190(f921(x90681)),x90683)))
% 163.42/163.17 [9071]E(f177(x90711,x90712,x90713),f326(f326(f175(x90711),x90714),x90713))+P106(f326(f326(f235(a920),f724(x90712,x90713,x90711,x90714)),x90714))+P106(f326(x90712,f326(f326(f164(x90711),x90713),x90714)))
% 163.42/163.17 [9106]P106(f326(x91061,x91062))+~P106(f326(f326(f328(x91064),x91062),f326(f172(x91064),x91063)))+P106(f326(f326(f235(a920),f701(x91062,x91061,x91063,x91064)),f326(f190(f921(x91064)),x91063)))
% 163.42/163.17 [9108]E(f177(x91081,x91082,x91083),f326(f326(f175(x91081),x91084),x91083))+P106(f326(f326(f235(a920),x91084),f326(f190(f921(x91081)),x91083)))+P106(f326(f326(f235(a920),f724(x91082,x91083,x91081,x91084)),f326(f190(f921(x91081)),x91083)))
% 163.42/163.17 [9115]E(f177(x91151,x91152,x91153),f326(f326(f175(x91151),x91154),x91153))+P106(f326(x91152,f326(f326(f164(x91151),x91153),x91154)))+P106(f326(f326(f235(a920),f724(x91152,x91153,x91151,x91154)),f326(f190(f921(x91151)),x91153)))
% 163.42/163.17 [9140]~P127(x91404)+P106(f326(f326(f328(x91401),f346(x91402,x91403,x91401,x91404)),x91403))+P106(f326(f326(f235(x91404),f2(x91404)),f326(f326(f11(x91401,x91404),x91402),x91403)))
% 163.42/163.17 [9141]~P127(x91414)+P106(f326(f326(f328(x91411),f347(x91412,x91413,x91411,x91414)),x91413))+P106(f326(f326(f234(x91414),f2(x91414)),f326(f326(f11(x91411,x91414),x91412),x91413)))
% 163.42/163.17 [9166]~P106(f326(f60(x91661),x91664))+P106(f326(f326(f328(x91661),f537(x91662,x91663,x91664,x91661)),x91664))+P106(f326(f60(f927(x91661,x91663)),f326(f326(f253(x91661,x91663),x91664),x91662)))
% 163.42/163.17 [9198]P106(f326(f326(f328(x91982),f753(x91981,x91983,x91982,x91984)),f326(f172(x91982),x91983)))+P106(f326(x91981,f326(f326(f164(x91982),x91983),x91984)))+~P106(f326(f326(f235(a920),x91984),f326(f190(f921(x91982)),x91983)))
% 163.42/163.17 [9327]P106(f326(f326(f234(a920),x93274),f326(f190(f921(x93272)),f177(x93272,x93273,x93271))))+P106(f326(f326(f235(a920),f725(x93271,x93272,x93273,x93274)),x93274))+~P106(f326(f326(f234(a920),x93274),f326(f190(f921(x93272)),x93271)))
% 163.42/163.17 [9480]E(f177(x94801,x94802,x94803),f326(f326(f175(x94801),x94804),x94803))+~P106(f326(x94802,f326(f326(f164(x94801),x94803),f724(x94802,x94803,x94801,x94804))))+P106(f326(f326(f235(a920),x94804),f326(f190(f921(x94801)),x94803)))
% 163.42/163.17 [9487]E(f177(x94871,x94872,x94873),f326(f326(f175(x94871),x94874),x94873))+~P106(f326(x94872,f326(f326(f164(x94871),x94873),f724(x94872,x94873,x94871,x94874))))+P106(f326(x94872,f326(f326(f164(x94871),x94873),x94874)))
% 163.42/163.17 [9491]~P106(f326(f60(x94911),x94913))+~P106(f326(f60(x94912),f326(x94914,f537(x94914,x94912,x94913,x94911))))+P106(f326(f60(f927(x94911,x94912)),f326(f326(f253(x94911,x94912),x94913),x94914)))
% 163.42/163.17 [9499]~P127(x94991)+~P106(f326(f326(f234(x94991),f2(x94991)),f326(x94993,f347(x94993,x94994,x94992,x94991))))+P106(f326(f326(f234(x94991),f2(x94991)),f326(f326(f11(x94992,x94991),x94993),x94994)))
% 163.42/163.17 [9500]~P127(x95001)+~P106(f326(f326(f235(x95001),f2(x95001)),f326(x95003,f346(x95003,x95004,x95002,x95001))))+P106(f326(f326(f235(x95001),f2(x95001)),f326(f326(f11(x95002,x95001),x95003),x95004)))
% 163.42/163.17 [9508]~E(f326(f190(f921(x95084)),x95082),f326(f190(f921(x95084)),x95083))+P106(f326(f326(f328(f927(f921(x95084),f921(x95084))),f326(f326(f251(f921(x95084),f921(x95084)),x95083),x95082)),f158(x95084,x95081)))+P106(f326(f326(f235(a920),f649(x95081,x95082,x95083,x95084)),f326(f190(f921(x95084)),x95083)))
% 163.42/163.17 [9560]~P106(f326(x95603,f326(f326(f164(x95602),x95604),f725(x95604,x95602,x95603,x95601))))+P106(f326(f326(f234(a920),x95601),f326(f190(f921(x95602)),f177(x95602,x95603,x95604))))+~P106(f326(f326(f234(a920),x95601),f326(f190(f921(x95602)),x95604)))
% 163.42/163.17 [9641]E(f326(f326(f175(x96411),f661(x96412,x96413,x96414,x96411)),x96413),f326(f326(f175(x96411),f661(x96412,x96413,x96414,x96411)),x96414))+~P106(f326(f326(f328(f927(f921(x96411),f921(x96411))),f326(f326(f251(f921(x96411),f921(x96411)),x96414),x96413)),f147(x96411,x96412)))+P106(f326(f326(f235(a920),f326(f190(f921(x96411)),x96414)),f326(f190(f921(x96411)),x96413)))
% 163.42/163.17 [9704]~P106(f326(f326(f235(a920),f2(a920)),x97043))+~P106(f326(f326(f235(a920),x97044),x97041))+P106(f326(f326(f235(a920),f326(f326(f79(a920),f326(f326(f80(a920),x97041),f44(a920,x97042,x97043))),x97044)),f326(f326(f80(a920),x97041),x97043)))
% 163.42/163.17 [9896]~P108(x98962)+~P106(f326(f326(f234(x98962),f326(x98963,f914(x98964,x98963,x98961,x98962))),f326(x98964,f914(x98964,x98963,x98961,x98962))))+P106(f326(f326(f234(f928(x98961,x98962)),x98963),x98964))
% 163.42/163.17 [9998]~P69(x99981)+E(f326(f326(f8(a920,x99981),f326(f326(f20(a920,x99981,x99981),f326(f326(f10(x99981,f928(x99981,x99981),a920),f3(x99981)),x99982)),f326(f326(f10(a920,x99981,a920),x99982),f326(f326(f9(a920,a920,a920),f79(a920)),f77(a920))))),f302(a920,x99983,x99984)),f326(f326(f3(x99981),f326(x99982,x99983)),f326(x99982,f326(f326(f79(a920),x99984),f77(a920)))))+~P106(f326(f326(f234(a920),x99983),x99984))
% 163.42/163.17 [10074]~P39(x100743,f326(f326(f288(x100743,x100743,x100743),x100742),f306(x100743,x100742)))+~P106(f326(f326(f328(f927(x100743,x100743)),f326(f326(f251(x100743,x100743),f326(x100741,f326(a112,f837(x100742,x100741,x100743)))),f326(x100741,f837(x100742,x100741,x100743)))),f306(x100743,x100742)))+E(f326(x100741,f326(f326(f79(a920),f836(x100742,x100741,x100743)),x100744)),f326(x100741,f836(x100742,x100741,x100743)))
% 163.42/163.17 [6955]~P62(x69551)+E(f326(f326(f35(x69551),f326(f326(f80(x69551),x69552),x69553)),x69554),f326(f326(f80(x69551),x69552),f326(f326(f35(x69551),x69553),x69554)))+~P106(f326(f326(f286(x69551),x69554),x69553))
% 163.42/163.17 [7040]E(f326(f326(f134(x70401),x70402),x70403),x70404)+~E(x70403,f326(f326(f138(x70401),f326(f190(f921(x70401)),x70402)),x70404))+~E(f326(f326(f175(x70401),f326(f190(f921(x70401)),x70402)),x70404),x70402)
% 163.42/163.17 [7096]~P66(x70962)+E(x70961,f2(x70962))+E(f326(f326(f290(x70962),f326(f326(f243(x70962),x70963),x70964)),f326(f326(f243(x70962),x70961),x70964)),f326(f326(f243(x70962),f326(f326(f290(x70962),x70963),x70961)),x70964))
% 163.42/163.17 [7239]~P62(x72391)+E(f326(f326(f35(x72391),f326(f326(f80(x72391),x72392),x72393)),x72394),f326(f326(f80(x72391),f326(f326(f35(x72391),x72392),x72394)),x72393))+~P106(f326(f326(f286(x72391),x72394),x72392))
% 163.42/163.17 [7247]~P102(x72471)+~P106(f326(f326(f234(x72471),x72473),x72474))+P106(f326(f326(f234(x72471),f326(f326(f101(x72471),x72472),x72473)),x72474))
% 163.42/163.17 [7248]~P102(x72481)+~P106(f326(f326(f234(x72481),x72482),x72484))+P106(f326(f326(f234(x72481),f326(f326(f101(x72481),x72482),x72483)),x72484))
% 163.42/163.17 [7250]~P109(x72501)+~P106(f326(f326(f234(x72501),x72503),x72504))+P106(f326(f326(f234(x72501),f326(f326(f188(x72501),x72502),x72503)),x72504))
% 163.42/163.17 [7252]~P109(x72521)+~P106(f326(f326(f234(x72521),x72522),x72524))+P106(f326(f326(f234(x72521),f326(f326(f188(x72521),x72522),x72523)),x72524))
% 163.42/163.17 [7253]~P102(x72531)+~P106(f326(f326(f235(x72531),x72533),x72534))+P106(f326(f326(f235(x72531),f326(f326(f101(x72531),x72532),x72533)),x72534))
% 163.42/163.17 [7254]~P102(x72541)+~P106(f326(f326(f235(x72541),x72542),x72544))+P106(f326(f326(f235(x72541),f326(f326(f101(x72541),x72542),x72543)),x72544))
% 163.42/163.17 [7256]~P109(x72561)+~P106(f326(f326(f235(x72561),x72563),x72564))+P106(f326(f326(f235(x72561),f326(f326(f188(x72561),x72562),x72563)),x72564))
% 163.42/163.17 [7258]~P109(x72581)+~P106(f326(f326(f235(x72581),x72582),x72584))+P106(f326(f326(f235(x72581),f326(f326(f188(x72581),x72582),x72583)),x72584))
% 163.42/163.17 [7281]~P106(f326(x72813,x72814))+~P106(f326(x72812,x72814))+P106(f326(f326(f326(f101(f928(x72811,a916)),x72812),x72813),x72814))
% 163.42/163.17 [7407]P25(x74071,x74072,x74073)+~P25(x74071,x74074,x74073)+~P106(f326(f326(f234(f928(f919(x74071),a916)),x74074),x74072))
% 163.42/163.17 [7408]P25(x74081,x74082,x74083)+~P25(x74081,x74082,x74084)+~P106(f326(f326(f234(f928(f919(x74081),a916)),x74083),x74084))
% 163.42/163.17 [7773]~P72(x77731)+E(f326(f326(f79(x77731),f326(x77732,x77733)),f326(f326(f8(a920,x77731),x77732),f326(f301(a920,f326(a112,x77733)),x77734))),f326(f326(f8(a920,x77731),x77732),f326(f301(a920,x77733),x77734)))+~P106(f326(f326(f235(a920),x77733),x77734))
% 163.42/163.17 [7791]E(x77911,x77912)+P106(f326(f326(f172(x77913),x77914),x77912))+~P106(f326(f326(f172(x77913),f326(f326(f151(x77913),x77911),x77914)),x77912))
% 163.42/163.17 [7803]~P109(x78031)+P106(f326(f326(f234(x78031),x78032),x78033))+~P106(f326(f326(f234(x78031),f326(f326(f233(x78031),x78034),x78032)),x78033))
% 163.42/163.17 [7805]~P109(x78051)+P106(f326(f326(f234(x78051),x78052),x78053))+~P106(f326(f326(f234(x78051),f326(f326(f233(x78051),x78052),x78054)),x78053))
% 163.42/163.17 [7807]~P101(x78071)+P106(f326(f326(f234(x78071),x78072),x78073))+~P106(f326(f326(f234(x78071),f326(f326(f110(x78071),x78074),x78072)),x78073))
% 163.42/163.17 [7809]~P101(x78091)+P106(f326(f326(f234(x78091),x78092),x78093))+~P106(f326(f326(f234(x78091),f326(f326(f110(x78091),x78092),x78094)),x78093))
% 163.42/163.17 [7810]~P109(x78101)+P106(f326(f326(f235(x78101),x78102),x78103))+~P106(f326(f326(f235(x78101),f326(f326(f233(x78101),x78104),x78102)),x78103))
% 163.42/163.17 [7811]~P109(x78111)+P106(f326(f326(f235(x78111),x78112),x78113))+~P106(f326(f326(f235(x78111),f326(f326(f233(x78111),x78112),x78114)),x78113))
% 163.42/163.17 [7812]~P113(x78121)+P106(f326(f326(f286(x78121),x78122),x78123))+~P106(f326(f326(f286(x78121),f326(f326(f80(x78121),x78124),x78122)),x78123))
% 163.42/163.17 [7813]~P113(x78131)+P106(f326(f326(f286(x78131),x78132),x78133))+~P106(f326(f326(f286(x78131),f326(f326(f80(x78131),x78132),x78134)),x78133))
% 163.42/163.17 [7889]~P106(f326(f326(f328(x78891),x78892),x78894))+P106(f326(f326(f328(x78891),x78892),x78893))+P106(f326(f326(f328(x78891),x78892),f326(f326(f3(f928(x78891,a916)),x78894),x78893)))
% 163.42/163.17 [7972]P106(f326(x79721,x79722))+P106(f326(x79723,x79722))+~P106(f326(f326(f326(f110(f928(x79724,a916)),x79723),x79721),x79722))
% 163.42/163.17 [7983]~P106(f326(f326(f328(x79831),x79832),x79834))+~P106(f326(f326(f328(x79831),x79832),x79833))+P106(f326(f326(f328(x79831),x79832),f326(f326(f101(f928(x79831,a916)),x79833),x79834)))
% 163.42/163.17 [8030]~P101(x80301)+~P106(f326(f60(x80301),x80304))+E(f326(f326(f63(x80301,x80301,f110(x80301)),x80302),f326(f326(f308(x80301),x80303),x80304)),f326(f326(f110(x80301),x80303),f326(f326(f63(x80301,x80301,f110(x80301)),x80302),x80304)))
% 163.42/163.17 [8031]~P102(x80311)+~P106(f326(f60(x80311),x80314))+E(f326(f326(f63(x80311,x80311,f101(x80311)),x80312),f326(f326(f308(x80311),x80313),x80314)),f326(f326(f101(x80311),x80313),f326(f326(f63(x80311,x80311,f101(x80311)),x80312),x80314)))
% 163.42/163.17 [8032]~P109(x80321)+~P106(f326(f60(x80321),x80324))+E(f326(f326(f63(x80321,x80321,f188(x80321)),x80322),f326(f326(f308(x80321),x80323),x80324)),f326(f326(f188(x80321),x80323),f326(f326(f63(x80321,x80321,f188(x80321)),x80322),x80324)))
% 163.42/163.17 [8033]~P109(x80331)+~P106(f326(f60(x80331),x80334))+E(f326(f326(f63(x80331,x80331,f233(x80331)),x80332),f326(f326(f308(x80331),x80333),x80334)),f326(f326(f233(x80331),x80333),f326(f326(f63(x80331,x80331,f233(x80331)),x80332),x80334)))
% 163.42/163.17 [8035]~P111(x80351)+~P95(x80351)+E(f326(f326(f3(x80351),f326(f326(f80(x80351),f326(f103(x80351),x80352)),x80353)),f326(f326(f80(x80351),f326(f103(x80351),x80352)),x80354)),f326(f326(f80(x80351),f326(f103(x80351),x80352)),f326(f326(f3(x80351),x80353),x80354)))
% 163.42/163.17 [8036]~P141(x80361)+~P95(x80361)+E(f326(f326(f79(x80361),f326(f326(f80(x80361),f326(f103(x80361),x80362)),x80363)),f326(f326(f80(x80361),f326(f103(x80361),x80362)),x80364)),f326(f326(f80(x80361),f326(f103(x80361),x80362)),f326(f326(f79(x80361),x80363),x80364)))
% 163.42/163.17 [8151]E(x81511,x81512)+P106(f326(f326(f328(x81513),x81511),f326(f172(x81513),x81514)))+~P106(f326(f326(f328(x81513),x81511),f326(f172(x81513),f326(f326(f151(x81513),x81512),x81514))))
% 163.42/163.17 [8322]P56(x83221,x83222,x83223)+~P56(x83221,x83222,x83224)+~P106(f326(f326(f234(f928(f927(x83221,x83222),a916)),x83223),x83224))
% 163.42/163.17 [8370]P106(f326(f326(f328(x83701),x83702),x83703))+P106(f326(f326(f328(x83701),x83702),x83704))+~P106(f326(f326(f328(x83701),x83702),f326(f326(f110(f928(x83701,a916)),x83704),x83703)))
% 163.42/163.17 [8380]~P54(x83801,x83804,x83803)+~P106(f326(f326(f328(x83801),x83802),x83804))+P106(f326(f326(f328(f927(x83801,x83801)),f326(f326(f251(x83801,x83801),x83802),x83802)),x83803))
% 163.42/163.17 [8392]~P106(f326(f60(x83922),x83924))+~P106(f326(f60(x83921),x83923))+P106(f326(f60(f927(x83921,x83922)),f326(f326(f253(x83921,x83922),x83923),f326(f18(f928(x83922,a916),x83921),x83924))))
% 163.42/163.17 [8393]~P106(f326(f326(f328(x83931),x83932),x83934))+~P106(f326(f326(f234(f928(x83931,a916)),x83933),x83934))+P106(f326(f326(f234(f928(x83931,a916)),f326(f326(f308(x83931),x83932),x83933)),x83934))
% 163.42/163.17 [8400]~P77(x84002)+~P146(x84002)+E(f326(f326(f11(x84001,x84002),f326(f326(f10(a920,x84002,x84001),f100(x84002)),x84003)),x84004),f326(f100(x84002),f326(f326(f11(x84001,a920),x84003),x84004)))
% 163.42/163.17 [8401]~P77(x84012)+~P143(x84012)+E(f326(f326(f11(x84011,x84012),f326(f326(f10(a1,x84012,x84011),f102(x84012)),x84013)),x84014),f326(f102(x84012),f326(f326(f11(x84011,a1),x84013),x84014)))
% 163.42/163.17 [8425]E(f326(f326(f3(f928(x84251,a916)),x84252),f326(f326(f3(f928(x84251,a916)),x84253),x84254)),x84254)+~P106(f326(f326(f234(f928(x84251,a916)),x84252),x84253))+~P106(f326(f326(f234(f928(x84251,a916)),x84254),x84252))
% 163.42/163.17 [8521]~P106(f326(f60(x85211),x85214))+E(f326(f326(f3(a920),f326(f326(f8(x85211,a920),x85212),x85213)),f326(f326(f8(x85211,a920),x85212),x85214)),f326(f326(f8(x85211,a920),x85212),f326(f326(f3(f928(x85211,a916)),x85213),x85214)))+~P106(f326(f326(f234(f928(x85211,a916)),x85214),x85213))
% 163.42/163.17 [8671]~P9(x86711,x86714,x86713)+~P106(f326(f326(f328(x86711),x86712),x86714))+P106(f326(f326(f328(x86711),x86712),f326(f284(x86711,x86711,x86713),f326(f326(f308(x86711),x86712),f189(f928(x86711,a916))))))
% 163.42/163.17 [8732]~P106(f326(f326(f234(f928(x87321,a916)),x87322),x87323))+~P106(f326(f326(f234(f928(x87321,a916)),x87322),x87324))+P106(f326(f326(f234(f928(x87321,a916)),x87322),f326(f326(f101(f928(x87321,a916)),x87323),x87324)))
% 163.42/163.17 [8836]E(x88361,f189(f928(x88362,a916)))+P106(f326(f60(x88363),x88364))+~P106(f326(f60(f927(x88363,x88362)),f326(f326(f253(x88363,x88362),x88364),f326(f18(f928(x88362,a916),x88363),x88361))))
% 163.42/163.17 [8837]E(x88371,f189(f928(x88372,a916)))+P106(f326(f60(x88373),x88374))+~P106(f326(f60(f927(x88372,x88373)),f326(f326(f253(x88372,x88373),x88371),f326(f18(f928(x88373,a916),x88372),x88374))))
% 163.42/163.17 [8911]P106(f326(f326(f328(x89111),x89112),f315(x89111,x89113)))+~P106(f326(f326(f328(x89111),x89114),f315(x89111,x89113)))+~P106(f326(f326(f328(f927(x89111,x89111)),f326(f326(f251(x89111,x89111),x89112),x89114)),x89113))
% 163.42/163.17 [8968]~P39(x89681,x89684)+P106(f326(f326(f328(f927(x89681,x89681)),f326(f326(f251(x89681,x89681),x89683),x89682)),f306(x89681,x89684)))+P39(x89681,f326(f326(f308(f927(x89681,x89681)),f326(f326(f251(x89681,x89681),x89682),x89683)),x89684))
% 163.42/163.17 [8969]~P59(x89691,x89694)+P106(f326(f326(f328(f927(x89691,x89691)),f326(f326(f251(x89691,x89691),x89693),x89692)),f306(x89691,x89694)))+P59(x89691,f326(f326(f308(f927(x89691,x89691)),f326(f326(f251(x89691,x89691),x89692),x89693)),x89694))
% 163.42/163.17 [9051]~E(x90512,x90513)+~P106(f326(f326(f328(x90511),x90512),f326(f172(x90511),x90514)))+P106(f326(f326(f328(f927(x90511,x90511)),f326(f326(f251(x90511,x90511),x90512),x90513)),f326(f172(f927(x90511,x90511)),f326(f326(f181(x90511,x90511),x90514),x90514))))
% 163.42/163.17 [9139]~E(x91393,x91394)+P106(f326(f326(f256(x91391,x91391,a916),a323),x91392))+~P106(f326(f326(f328(f927(x91391,x91391)),x91392),f326(f172(f927(x91391,x91391)),f326(f326(f181(x91391,x91391),x91393),x91394))))
% 163.42/163.17 [9183]P106(f326(f326(f328(f927(f921(x91831),f921(x91831))),f326(f326(f251(f921(x91831),f921(x91831)),x91832),x91833)),f147(x91831,x91834)))+~E(f326(f326(f175(x91831),f326(f190(f921(x91831)),x91832)),x91833),x91832)+~P106(f326(f326(f235(a920),f326(f190(f921(x91831)),x91832)),f326(f190(f921(x91831)),x91833)))
% 163.42/163.17 [9186]~P53(x91861,x91864)+~P106(f326(f326(f328(f927(x91861,x91861)),f326(f326(f251(x91861,x91861),x91863),x91862)),x91864))+P106(f326(f326(f328(f927(x91861,x91861)),f326(f326(f251(x91861,x91861),x91862),x91863)),x91864))
% 163.42/163.17 [9277]~P106(f326(f60(x92771),x92774))+P106(f326(f326(f328(x92771),f424(x92772,x92773,x92774,x92771)),x92774))+P106(f326(f60(x92773),f326(f326(f39(x92771,f928(x92773,a916)),x92774),x92772)))
% 163.42/163.17 [9278]~P106(f326(f60(x92781),x92784))+P106(f326(f326(f328(x92781),f584(x92782,x92783,x92784,x92781)),x92784))+P106(f326(f60(x92783),f326(f326(f39(x92781,f928(x92783,a916)),x92784),x92782)))
% 163.42/163.17 [9363]P106(f326(f326(f328(f927(x93631,x93631)),x93632),f326(f326(f288(x93631,x93631,x93631),x93633),f306(x93631,x93633))))+~P106(f326(f326(f235(a920),f2(a920)),x93634))+~P106(f326(f326(f328(f927(x93631,x93631)),x93632),f326(f326(f183(f927(x93631,x93631),a916),x93634),x93633)))
% 163.42/163.17 [9371]~P39(x93711,x93712)+~P106(f326(f326(f328(f927(x93711,x93711)),f326(f326(f251(x93711,x93711),x93714),x93713)),x93712))+~P106(f326(f326(f328(f927(x93711,x93711)),f326(f326(f251(x93711,x93711),x93713),x93714)),x93712))
% 163.42/163.17 [9498]~P106(f326(f60(x94981),x94984))+E(f326(f326(f8(x94981,a920),f326(f326(f10(f928(x94982,a916),a920,x94981),f34(x94982)),x94983)),x94984),f326(f34(f927(x94981,x94982)),f326(f326(f253(x94981,x94982),x94984),x94983)))+P106(f326(f326(f328(x94981),f540(x94983,x94982,x94984,x94981)),x94984))
% 163.42/163.17 [9502]~P106(f326(f137(x95021),x95022))+P106(f326(f137(x95021),f326(f326(f159(x95021,x95022),x95023),x95024)))+P106(f326(f326(f328(x95021),x95024),f326(f326(f3(f928(x95021,a916)),f326(f172(x95021),x95022)),f326(f326(f308(x95021),f326(f326(f164(x95021),x95022),x95023)),f189(f928(x95021,a916))))))
% 163.42/163.17 [9519]~P106(f326(f60(x95192),x95193))+~P106(f326(f60(x95191),f326(x95194,f424(x95194,x95191,x95193,x95192))))+P106(f326(f60(x95191),f326(f326(f39(x95192,f928(x95191,a916)),x95193),x95194)))
% 163.42/163.17 [9520]~P106(f326(f60(x95202),x95203))+~P106(f326(f60(x95201),f326(x95204,f584(x95204,x95201,x95203,x95202))))+P106(f326(f60(x95201),f326(f326(f39(x95202,f928(x95201,a916)),x95203),x95204)))
% 163.42/163.17 [9598]~P106(f326(f326(f328(f927(x95981,x95981)),x95982),f326(f326(f288(x95981,x95981,x95981),x95984),f306(x95981,x95984))))+P106(f326(f326(f328(f927(x95981,x95981)),x95982),f326(f326(f288(x95981,x95981,x95981),x95983),f306(x95981,x95983))))+~P106(f326(f326(f234(f928(f927(x95981,x95981),a916)),x95984),x95983))
% 163.42/163.17 [9608]E(f326(f326(f175(x96081),f661(x96084,x96083,x96082,x96081)),x96083),f326(f326(f175(x96081),f661(x96084,x96083,x96082,x96081)),x96082))+~P106(f326(f326(f328(f927(f921(x96081),f921(x96081))),f326(f326(f251(f921(x96081),f921(x96081)),x96082),x96083)),f147(x96081,x96084)))+E(f326(f326(f175(x96081),f326(f190(f921(x96081)),x96082)),x96083),x96082)
% 163.42/163.17 [9624]~P106(f326(f60(x96241),x96244))+E(f326(f326(f8(x96241,a920),f326(f326(f10(f928(x96242,a916),a920,x96241),f34(x96242)),x96243)),x96244),f326(f34(f927(x96241,x96242)),f326(f326(f253(x96241,x96242),x96244),x96243)))+~P106(f326(f60(x96242),f326(x96243,f540(x96243,x96242,x96244,x96241))))
% 163.42/163.17 [9628]~E(f326(f190(f921(x96281)),x96283),f326(f190(f921(x96281)),x96282))+P106(f326(f326(f328(f927(f921(x96281),f921(x96281))),f326(f326(f251(f921(x96281),f921(x96281)),x96282),x96283)),f158(x96281,x96284)))+P106(f326(f326(f328(f927(x96281,x96281)),f666(x96284,x96283,x96282,x96281)),f326(f172(f927(x96281,x96281)),f326(f326(f181(x96281,x96281),x96282),x96283))))
% 163.42/163.17 [9716]~P106(f326(f326(f328(f927(f921(x97161),f921(x97161))),f326(f326(f251(f921(x97161),f921(x97161)),x97162),x97163)),f147(x97161,x97164)))+E(f326(f326(f175(x97161),f326(f190(f921(x97161)),x97162)),x97163),x97162)+P106(f326(f326(f235(a920),f661(x97164,x97163,x97162,x97161)),f326(f326(f188(a920),f326(f190(f921(x97161)),x97162)),f326(f190(f921(x97161)),x97163))))
% 163.42/163.17 [9740]~P106(f326(f326(f328(f927(f921(x97401),f921(x97401))),f326(f326(f251(f921(x97401),f921(x97401)),x97402),x97403)),f147(x97401,x97404)))+P106(f326(f326(f235(a920),f326(f190(f921(x97401)),x97402)),f326(f190(f921(x97401)),x97403)))+P106(f326(f326(f235(a920),f661(x97404,x97403,x97402,x97401)),f326(f326(f188(a920),f326(f190(f921(x97401)),x97402)),f326(f190(f921(x97401)),x97403))))
% 163.42/163.17 [10143]~P106(f326(f326(f328(f927(f921(x101431),f921(x101431))),f326(f326(f251(f921(x101431),f921(x101431)),x101432),x101433)),f147(x101431,x101434)))+E(f326(f326(f175(x101431),f326(f190(f921(x101431)),x101432)),x101433),x101432)+P106(f326(f326(f328(f927(x101431,x101431)),f326(f326(f251(x101431,x101431),f326(f326(f164(x101431),x101432),f661(x101434,x101433,x101432,x101431))),f326(f326(f164(x101431),x101433),f661(x101434,x101433,x101432,x101431)))),x101434))
% 163.42/163.17 [10144]~P106(f326(f326(f328(f927(f921(x101441),f921(x101441))),f326(f326(f251(f921(x101441),f921(x101441)),x101442),x101443)),f147(x101441,x101444)))+P106(f326(f326(f235(a920),f326(f190(f921(x101441)),x101442)),f326(f190(f921(x101441)),x101443)))+P106(f326(f326(f328(f927(x101441,x101441)),f326(f326(f251(x101441,x101441),f326(f326(f164(x101441),x101442),f661(x101444,x101443,x101442,x101441))),f326(f326(f164(x101441),x101443),f661(x101444,x101443,x101442,x101441)))),x101444))
% 163.42/163.17 [10211]~E(f326(f190(f921(x102111)),x102112),f326(f190(f921(x102111)),x102113))+P106(f326(f326(f328(f927(f921(x102111),f921(x102111))),f326(f326(f251(f921(x102111),f921(x102111)),x102112),x102113)),f158(x102111,x102114)))+~P106(f326(f326(f328(f927(x102111,x102111)),f326(f326(f251(x102111,x102111),f326(f326(f164(x102111),x102112),f649(x102114,x102113,x102112,x102111))),f326(f326(f164(x102111),x102113),f649(x102114,x102113,x102112,x102111)))),x102114))
% 163.42/163.17 [10361]~P72(x103611)+~P106(f326(f60(x103612),x103614))+E(f326(f165(x103611),f326(f326(f154(x103612,x103611),x103613),f89(f921(x103612),f326(f326(f20(f921(x103612),a916,a916),f326(f326(f10(a916,f928(a916,a916),f921(x103612)),a324),f326(f326(f9(f921(x103612),f928(x103612,a916),a916),f326(f326(f10(f928(x103612,a916),f928(f928(x103612,a916),a916),f921(x103612)),a323),f172(x103612))),x103614))),f137(x103612))))),f232(x103612,x103611,x103613,x103614))
% 163.42/163.17 [7623]~P65(x76232)+E(x76231,f2(x76232))+E(f326(f326(f290(x76232),f326(f326(f79(x76232),x76233),f326(f326(f80(x76232),x76234),x76231))),x76231),f326(f326(f79(x76232),x76234),f326(f326(f290(x76232),x76233),x76231)))
% 163.42/163.17 [7624]~P62(x76242)+E(x76241,f2(x76242))+E(f326(f326(f35(x76242),f326(f326(f79(x76242),x76243),f326(f326(f80(x76242),x76244),x76241))),x76241),f326(f326(f79(x76242),x76244),f326(f326(f35(x76242),x76243),x76241)))
% 163.42/163.17 [7625]~P62(x76252)+E(x76251,f2(x76252))+E(f326(f326(f35(x76252),f326(f326(f79(x76252),x76253),f326(f326(f80(x76252),x76251),x76254))),x76251),f326(f326(f79(x76252),x76254),f326(f326(f35(x76252),x76253),x76251)))
% 163.42/163.17 [7852]~P66(x78522)+E(x78521,f2(x78522))+E(f326(f326(f290(x78522),f326(f326(f3(x78522),x78523),f326(f326(f80(x78522),x78521),x78524))),x78521),f326(f326(f3(x78522),f326(f326(f290(x78522),x78523),x78521)),x78524))
% 163.42/163.17 [7853]~P65(x78532)+E(x78531,f2(x78532))+E(f326(f326(f290(x78532),f326(f326(f79(x78532),x78533),f326(f326(f80(x78532),x78534),x78531))),x78531),f326(f326(f79(x78532),f326(f326(f290(x78532),x78533),x78531)),x78534))
% 163.42/163.17 [7854]~P66(x78542)+E(x78541,f2(x78542))+E(f326(f326(f290(x78542),f326(f326(f79(x78542),x78543),f326(f326(f80(x78542),x78541),x78544))),x78541),f326(f326(f79(x78542),f326(f326(f290(x78542),x78543),x78541)),x78544))
% 163.42/163.17 [8552]~P106(f326(f160(x85521,x85523),x85524))+~P106(f326(f160(x85521,x85522),x85524))+P106(f326(f160(x85521,f326(f326(f101(f928(x85521,a916)),x85522),x85523)),x85524))
% 163.42/163.17 [8926]~E(f326(f326(f288(x89261,x89261,x89261),x89262),x89264),f189(f928(f927(x89261,x89261),a916)))+~E(f326(f326(f288(x89261,x89261,x89261),x89262),x89263),f189(f928(f927(x89261,x89261),a916)))+E(f326(f326(f288(x89261,x89261,x89261),x89262),f326(f326(f110(f928(f927(x89261,x89261),a916)),x89263),x89264)),f189(f928(f927(x89261,x89261),a916)))
% 163.42/163.17 [9052]~P106(f326(f326(f234(f928(x90521,a916)),x90523),x90524))+~P106(f326(f326(f234(f928(x90521,a916)),x90522),x90524))+P106(f326(f326(f234(f928(x90521,a916)),f326(f326(f110(f928(x90521,a916)),x90522),x90523)),x90524))
% 163.42/163.17 [9426]~P106(f326(f60(x94261),x94264))+~P106(f326(f60(x94261),x94263))+E(f326(f326(f3(a920),f326(f326(f79(a920),f326(f326(f8(x94261,a920),x94262),x94263)),f326(f326(f8(x94261,a920),x94262),x94264))),f326(f326(f8(x94261,a920),x94262),f326(f326(f101(f928(x94261,a916)),x94263),x94264))),f326(f326(f8(x94261,a920),x94262),f326(f326(f110(f928(x94261,a916)),x94263),x94264)))
% 163.42/163.17 [9516]~P106(f326(f326(f328(x95161),x95163),x95162))+~P106(f326(f326(f234(f928(x95161,a916)),x95162),f326(f326(f308(x95161),x95163),x95164)))+P106(f326(f326(f234(f928(x95161,a916)),f326(f326(f3(f928(x95161,a916)),x95162),f326(f326(f308(x95161),x95163),f189(f928(x95161,a916))))),x95164))
% 163.42/163.17 [9690]~P106(f326(f326(f328(x96901),x96903),x96902))+P106(f326(f326(f234(f928(x96901,a916)),x96902),f326(f326(f308(x96901),x96903),x96904)))+~P106(f326(f326(f234(f928(x96901,a916)),f326(f326(f3(f928(x96901,a916)),x96902),f326(f326(f308(x96901),x96903),f189(f928(x96901,a916))))),x96904))
% 163.42/163.17 [9780]~P106(f326(f326(f234(a920),x97801),x97803))+~P106(f326(f326(f235(a920),x97802),x97804))+P106(f326(f326(f328(f927(f927(a920,a920),f927(a920,a920))),f326(f326(f251(f927(a920,a920),f927(a920,a920)),f326(f326(f251(a920,a920),x97801),x97802)),f326(f326(f251(a920,a920),x97803),x97804))),a32))
% 163.42/163.17 [9781]~P106(f326(f326(f234(a920),x97812),x97814))+~P106(f326(f326(f234(a920),x97811),x97813))+P106(f326(f326(f328(f927(f927(a920,a920),f927(a920,a920))),f326(f326(f251(f927(a920,a920),f927(a920,a920)),f326(f326(f251(a920,a920),x97811),x97812)),f326(f326(f251(a920,a920),x97813),x97814))),a70))
% 163.42/163.17 [10072]~P106(f326(f326(f328(f921(x100721)),x100724),f161(x100721,x100723)))+~P106(f326(f326(f328(f921(x100721)),x100724),f161(x100721,x100722)))+P106(f326(f160(x100721,f326(f326(f101(f928(x100721,a916)),f326(f326(f9(x100721,f928(x100721,a916),a916),f328(x100721)),x100722)),f326(f326(f9(x100721,f928(x100721,a916),a916),f328(x100721)),x100723))),x100724))
% 163.42/163.17 [10177]~P26(x101771,f928(f928(x101771,a916),a916),f326(f326(f9(x101771,f928(f927(x101771,x101771),a916),f928(f928(x101771,a916),a916)),f326(f326(f10(f928(x101771,a916),f928(f928(f927(x101771,x101771),a916),f928(f928(x101771,a916),a916)),x101771),f59(x101771)),f326(f326(f9(x101771,f928(x101771,a916),f928(x101771,a916)),f308(x101771)),f189(f928(x101771,a916))))),x101773),x101772)+~P106(f326(f326(f328(x101771),x101774),x101772))+E(f326(f326(f3(f928(f928(x101771,a916),a916)),f326(f326(f59(x101771),x101772),x101773)),f326(f326(f59(x101771),f326(f326(f308(x101771),x101774),f189(f928(x101771,a916)))),x101773)),f326(f326(f59(x101771),f326(f326(f3(f928(x101771,a916)),x101772),f326(f326(f308(x101771),x101774),f189(f928(x101771,a916))))),x101773))
% 163.42/163.17 [10314]~P54(x103141,x103142,x103144)+~P106(f326(f326(f328(f927(x103141,x103141)),x103143),x103144))+P106(f326(f326(f256(x103141,x103141,a916),f326(f326(f9(x103141,f928(x103141,a916),f928(x103141,a916)),f326(f326(f10(f928(a916,a916),f928(f928(x103141,a916),f928(x103141,a916)),x103141),f10(a916,a916,x103141)),f326(f326(f10(a916,f928(a916,a916),x103141),a324),f326(f326(f9(x103141,f928(x103141,a916),a916),f328(x103141)),x103142)))),f326(f326(f9(x103141,f928(x103141,a916),a916),f328(x103141)),x103142))),x103143))
% 163.42/163.17 [10329]P106(f326(f60(x103291),x103292))+~P106(f326(f60(x103293),f326(f309(x103291,x103293,x103294),x103292)))+~P106(f326(f60(x103291),f326(f261(x103291),f326(f326(f20(x103291,a916,a916),f326(f326(f10(a916,f928(a916,a916),x103291),a324),f326(f326(f9(x103291,f928(x103291,a916),a916),f328(x103291)),x103292))),f326(f326(f9(x103291,x103293,a916),f326(f326(f10(x103293,f928(x103293,a916),x103291),a323),x103294)),f326(x103294,f576(x103294,x103293,x103292,x103291)))))))
% 163.42/163.17 [8306]~P66(x83062)+E(x83061,f2(x83062))+E(f326(f326(f290(x83062),f326(f326(f3(x83062),f326(f326(f80(x83062),x83061),x83063)),x83064)),x83061),f326(f326(f3(x83062),x83063),f326(f326(f290(x83062),x83064),x83061)))
% 163.42/163.17 [8307]~P66(x83072)+E(x83071,f2(x83072))+E(f326(f326(f290(x83072),f326(f326(f79(x83072),f326(f326(f80(x83072),x83071),x83073)),x83074)),x83071),f326(f326(f79(x83072),x83073),f326(f326(f290(x83072),x83074),x83071)))
% 163.42/163.17 [9212]~E(f326(f326(f288(x92121,x92121,x92121),x92123),x92124),f189(f928(f927(x92121,x92121),a916)))+~E(f326(f326(f288(x92121,x92121,x92121),x92122),x92124),f189(f928(f927(x92121,x92121),a916)))+E(f326(f326(f288(x92121,x92121,x92121),f326(f326(f110(f928(f927(x92121,x92121),a916)),x92122),x92123)),x92124),f189(f928(f927(x92121,x92121),a916)))
% 163.42/163.17 [9988]~P106(f326(f160(x99881,x99883),x99884))+~P106(f326(f160(x99881,x99882),x99884))+P106(f326(f160(x99881,f326(f326(f20(x99881,a916,a916),f326(f326(f10(a916,f928(a916,a916),x99881),a324),x99882)),x99883)),x99884))
% 163.42/163.17 [10250]P106(f326(x102501,f559(x102502,x102503,x102501,x102504)))+~P106(f326(f60(x102504),f326(f261(x102504),x102501)))+P106(f326(f60(x102503),f326(f261(x102503),f326(f326(f10(f928(x102504,a916),a916,x102503),f86(x102504)),f326(f326(f10(f928(x102504,a916),f928(x102504,a916),x102503),f326(f20(x102504,a916,a916),f326(f326(f10(a916,f928(a916,a916),x102504),a324),x102501))),x102502)))))
% 163.42/163.17 [10268]~P106(f326(f60(x102682),f326(f261(x102682),x102683)))+~P106(f326(f60(x102681),f326(f261(x102681),f326(f326(f9(x102681,x102682,a916),x102684),f559(x102684,x102681,x102683,x102682)))))+P106(f326(f60(x102681),f326(f261(x102681),f326(f326(f10(f928(x102682,a916),a916,x102681),f86(x102682)),f326(f326(f10(f928(x102682,a916),f928(x102682,a916),x102681),f326(f20(x102682,a916,a916),f326(f326(f10(a916,f928(a916,a916),x102682),a324),x102683))),x102684)))))
% 163.42/163.17 [10340]~P106(f326(f60(x103401),x103404))+P106(f326(f326(f328(x103401),f794(x103402,x103403,x103404,x103401)),x103404))+P106(f326(f60(x103403),f326(f261(x103403),f326(f326(f10(f928(x103401,a916),a916,x103403),f86(x103401)),f326(f326(f10(f928(x103401,a916),f928(x103401,a916),x103403),f326(f20(x103401,a916,a916),f326(f326(f10(a916,f928(a916,a916),x103401),a324),f326(f326(f9(x103401,f928(x103401,a916),a916),f328(x103401)),x103404)))),x103402)))))
% 163.42/163.17 [10346]~P106(f326(f60(x103462),x103463))+~P106(f326(f60(x103461),f326(f261(x103461),f326(f326(f9(x103461,x103462,a916),x103464),f794(x103464,x103461,x103463,x103462)))))+P106(f326(f60(x103461),f326(f261(x103461),f326(f326(f10(f928(x103462,a916),a916,x103461),f86(x103462)),f326(f326(f10(f928(x103462,a916),f928(x103462,a916),x103461),f326(f20(x103462,a916,a916),f326(f326(f10(a916,f928(a916,a916),x103462),a324),f326(f326(f9(x103462,f928(x103462,a916),a916),f328(x103462)),x103463)))),x103464)))))
% 163.42/163.17 [5228]~E(x52282,x52284)+E(f169(x52281,x52282,x52283),f169(x52281,x52284,x52285))+~E(x52282,f2(a920))
% 163.42/163.17 [5482]E(x54821,x54822)+~E(f169(x54824,x54823,x54821),f169(x54824,x54825,x54822))+E(x54823,f2(a920))
% 163.42/163.17 [6757]E(x67571,x67572)+~E(f326(x67573,x67571),f326(x67573,x67572))+~P26(x67574,x67575,x67573,f241(f928(x67574,a916)))
% 163.42/163.17 [7655]E(x76551,x76552)+~P26(x76553,x76554,x76555,f241(f928(x76553,a916)))+~E(f326(f309(x76553,x76554,x76555),x76551),f326(f309(x76553,x76554,x76555),x76552))
% 163.42/163.17 [7906]P26(x79062,x79063,f498(x79064,x79063,x79062,x79061),x79061)+~E(f326(f309(x79063,x79062,x79065),x79064),x79061)+E(x79061,f189(f928(x79062,a916)))
% 163.42/163.17 [8436]~P106(f326(f326(x84363,x84362),x84365))+~P106(f326(f326(x84363,x84364),x84362))+P106(f326(f326(f328(x84361),x84362),f298(x84361,x84363,x84364,x84365)))
% 163.42/163.17 [8437]~P106(f326(f326(x84373,x84372),x84375))+~P106(f326(f326(x84373,x84374),x84372))+P106(f326(f326(f328(x84371),x84372),f289(x84371,x84373,x84374,x84375)))
% 163.42/163.17 [8740]~P26(x87401,x87402,x87403,x87404)+P27(x87401,x87402,x87403,x87404,x87405)+~E(f326(f309(x87401,x87402,x87403),x87404),x87405)
% 163.42/163.17 [8876]~P27(x88761,x88763,x88764,x88762,x88765)+~P106(f326(f60(x88763),x88765))+P106(f326(f60(x88761),x88762))
% 163.42/163.17 [8877]~P27(x88773,x88771,x88774,x88775,x88772)+~P106(f326(f60(x88773),x88775))+P106(f326(f60(x88771),x88772))
% 163.42/163.17 [9009]~P26(x90091,x90093,x90095,f241(f928(x90091,a916)))+~P26(x90093,x90092,x90094,f241(f928(x90093,a916)))+P26(x90091,x90092,f326(f72(x90093,x90092,x90091,x90094),x90095),f241(f928(x90091,a916)))
% 163.42/163.17 [9575]P106(f326(f326(f328(f927(x95751,x95751)),f326(f326(f251(x95751,x95751),x95752),x95753)),f306(x95751,x95754)))+~P106(f326(f326(f328(f927(x95751,x95751)),f326(f326(f251(x95751,x95751),x95752),x95755)),f306(x95751,x95754)))+~P106(f326(f326(f328(f927(x95751,x95751)),f326(f326(f251(x95751,x95751),x95755),x95753)),f306(x95751,x95754)))
% 163.42/163.17 [9615]~P109(x96152)+~P106(f326(f137(x96151),x96155))+P106(f326(f137(x96151),f149(x96151,x96152,x96153,x96154,x96155)))
% 163.42/163.17 [5557]~E(x55572,f113(x55571))+E(f326(f326(f134(x55571),x55572),x55573),f326(f326(f151(x55571),x55574),x55575))+~E(x55573,f326(f326(f151(x55571),x55574),x55575))
% 163.42/163.17 [5558]~E(x55582,f113(x55581))+E(f326(f326(f134(x55581),x55582),x55583),f326(f326(f151(x55581),x55584),x55585))+~E(f326(f326(f151(x55581),x55584),x55585),x55583)
% 163.42/163.17 [6713]~E(f326(f190(f921(x67131)),x67135),f326(f190(f921(x67132)),x67134))+E(f326(f326(f154(f927(x67131,x67132),x67132),f255(x67131,x67132)),x67133),x67134)+~E(f326(f326(f181(x67131,x67132),x67135),x67134),x67133)
% 163.42/163.17 [6714]~E(f326(f190(f921(x67141)),x67144),f326(f190(f921(x67142)),x67145))+E(f326(f326(f154(f927(x67141,x67142),x67141),f250(x67141,x67142)),x67143),x67144)+~E(f326(f326(f181(x67141,x67142),x67144),x67145),x67143)
% 163.42/163.17 [7191]~P109(x71911)+~P14(x71911,f326(f326(f154(x71912,x71911),x71913),x71915))+P14(x71911,f326(f326(f154(x71912,x71911),x71913),f326(f136(x71912,x71914),x71915)))
% 163.42/163.17 [7234]~P106(f326(x72343,x72345))+~P106(f326(f326(x72342,x72344),x72345))+P106(f326(f326(f92(x72341,x72342,x72343),x72344),x72345))
% 163.42/163.17 [7334]~P109(x73341)+P14(x73341,f326(f326(f154(x73342,x73341),x73343),f170(x73342,x73344,x73345)))+~P14(x73341,f326(f326(f154(x73342,x73341),x73343),x73345))
% 163.42/163.17 [7357]~P56(x73573,x73572,x73575)+~P56(x73571,x73573,x73574)+P56(x73571,x73572,f326(f326(f288(x73571,x73573,x73572),x73574),x73575))
% 163.42/163.17 [7454]E(x74541,x74542)+~P26(x74543,x74544,x74545,f241(f928(x74543,a916)))+~E(f326(f326(f154(x74543,x74544),x74545),x74541),f326(f326(f154(x74543,x74544),x74545),x74542))
% 163.42/163.17 [7609]~P106(f326(f326(f234(a920),x76091),f326(x76093,x76095)))+P106(f326(f326(f234(a920),x76091),f155(x76092,x76093,x76094)))+~P106(f326(f326(f328(x76092),x76095),f326(f172(x76092),x76094)))
% 163.42/163.17 [7610]~P106(f326(f326(f235(a920),x76101),f326(x76103,x76105)))+P106(f326(f326(f235(a920),x76101),f155(x76102,x76103,x76104)))+~P106(f326(f326(f328(x76102),x76105),f326(f172(x76102),x76104)))
% 163.42/163.17 [8002]P106(f326(x80021,x80022))+~P106(f326(x80021,x80023))+~P106(f326(f326(f328(x80024),x80022),f326(f172(x80024),f169(x80024,x80025,x80023))))
% 163.42/163.17 [8003]P106(f326(x80031,x80032))+~P106(f326(x80031,x80033))+~P106(f326(f326(f328(x80034),x80033),f326(f172(x80034),f169(x80034,x80035,x80032))))
% 163.42/163.17 [8007]~P110(x80071)+P106(f326(f326(f234(f928(x80071,a916)),f302(x80071,x80072,x80073)),f302(x80071,x80074,x80075)))+P106(f326(f326(f234(x80071),x80072),x80073))
% 163.42/163.17 [8028]~P6(x80281)+P106(f326(f326(f234(x80281),f326(f326(f38(x80282,x80281),x80283),x80284)),f326(x80284,x80285)))+~P106(f326(f326(f328(x80282),x80285),x80283))
% 163.42/163.17 [8097]~P26(x80971,x80972,x80974,x80973)+E(f326(f76(x80971,x80972,x80973,x80974),f326(x80974,x80975)),x80975)+~P106(f326(f326(f328(x80971),x80975),x80973))
% 163.42/163.17 [8098]~P26(x80981,x80982,x80984,x80983)+E(f326(f91(x80981,x80982,x80983,x80984),f326(x80984,x80985)),x80985)+~P106(f326(f326(f328(x80981),x80985),x80983))
% 163.42/163.17 [8295]~P106(f326(x82951,x82955))+P106(f326(x82951,f366(x82951,x82952,x82953,x82954)))+~P106(f326(f326(f328(x82954),x82955),x82953))
% 163.42/163.17 [8296]~P106(f326(x82961,x82965))+P106(f326(x82961,f366(x82961,x82962,x82963,x82964)))+~P106(f326(f326(f328(x82964),x82965),x82962))
% 163.42/163.17 [8390]P106(f326(f60(x83901),x83902))+~P106(f326(f60(x83903),x83904))+~P106(f326(f326(f234(f928(x83901,a916)),x83902),f326(f309(x83903,x83901,x83905),x83904)))
% 163.42/163.17 [8556]E(x85561,x85562)+~P26(x85563,x85564,x85565,f326(f326(f110(f928(x85563,a916)),f326(f172(x85563),x85561)),f326(f172(x85563),x85562)))+~E(f326(f326(f154(x85563,x85564),x85565),x85561),f326(f326(f154(x85563,x85564),x85565),x85562))
% 163.42/163.17 [8609]~P110(x86091)+~P106(f326(f326(f235(f928(x86091,a916)),f302(x86091,x86094,x86095)),f302(x86091,x86092,x86093)))+P106(f326(f326(f234(x86091),x86092),x86093))
% 163.42/163.17 [8670]~P26(x86701,x86704,x86705,f241(f928(x86701,a916)))+~P106(f326(f326(f328(x86704),f326(x86705,x86702)),f326(f309(x86701,x86704,x86705),x86703)))+P106(f326(f326(f328(x86701),x86702),x86703))
% 163.42/163.17 [8746]P106(f326(x87461,x87462))+~P106(f326(x87461,f377(x87461,x87463,x87464,x87465)))+~P106(f326(f326(f328(x87465),x87462),x87464))
% 163.42/163.17 [8747]P106(f326(x87471,x87472))+~P106(f326(x87471,f377(x87471,x87473,x87474,x87475)))+~P106(f326(f326(f328(x87475),x87472),x87473))
% 163.42/163.17 [9049]~P26(x90492,x90493,x90491,x90494)+E(f326(x90491,f326(f76(x90492,x90493,x90494,x90491),x90495)),x90495)+~P106(f326(f326(f328(x90493),x90495),f326(f309(x90492,x90493,x90491),x90494)))
% 163.42/163.17 [9152]E(x91521,f113(x91522))+E(f326(f326(f151(x91522),x91523),f680(x91524,x91523,x91525,x91521,x91522)),x91521)+~E(f326(f326(f134(x91522),x91521),x91525),f326(f326(f151(x91522),x91523),x91524))
% 163.42/163.17 [9153]E(x91531,f113(x91532))+E(f326(f326(f151(x91532),x91533),f681(x91534,x91531,x91535,x91533,x91532)),x91531)+~E(f326(f326(f134(x91532),x91531),x91534),f326(f326(f151(x91532),x91533),x91535))
% 163.42/163.17 [9171]E(f326(f326(f151(x91712),x91713),f680(x91714,x91713,x91711,x91715,x91712)),x91715)+~E(f326(f326(f134(x91712),x91715),x91711),f326(f326(f151(x91712),x91713),x91714))+E(x91711,f326(f326(f151(x91712),x91713),x91714))
% 163.42/163.17 [9172]E(f326(f326(f151(x91721),x91722),f681(x91724,x91725,x91723,x91722,x91721)),x91725)+~E(f326(f326(f134(x91721),x91725),x91724),f326(f326(f151(x91721),x91722),x91723))+E(f326(f326(f151(x91721),x91722),x91723),x91724)
% 163.42/163.17 [9248]~E(f326(f309(x92483,x92482,x92484),f241(f928(x92483,a916))),f241(f928(x92482,a916)))+~E(f326(f309(x92481,x92483,x92485),f241(f928(x92481,a916))),f241(f928(x92483,a916)))+E(f326(f309(x92481,x92482,f326(f72(x92483,x92482,x92481,x92484),x92485)),f241(f928(x92481,a916))),f241(f928(x92482,a916)))
% 163.42/163.17 [9621]E(x96211,f113(x96212))+~E(f326(f326(f134(x96212),x96211),x96213),f326(f326(f151(x96212),x96215),x96214))+E(f326(f326(f134(x96212),f681(x96213,x96211,x96214,x96215,x96212)),x96213),x96214)
% 163.42/163.17 [9622]E(x96221,f113(x96222))+~E(f326(f326(f134(x96222),x96221),x96225),f326(f326(f151(x96222),x96224),x96223))+E(f326(f326(f134(x96222),f680(x96223,x96224,x96225,x96221,x96222)),x96225),x96223)
% 163.42/163.17 [9629]E(f326(f326(f134(x96292),f680(x96294,x96293,x96291,x96295,x96292)),x96291),x96294)+~E(f326(f326(f134(x96292),x96295),x96291),f326(f326(f151(x96292),x96293),x96294))+E(x96291,f326(f326(f151(x96292),x96293),x96294))
% 163.42/163.17 [9630]~E(f326(f326(f134(x96301),x96305),x96304),f326(f326(f151(x96301),x96302),x96303))+E(f326(f326(f134(x96301),f681(x96304,x96305,x96303,x96302,x96301)),x96304),x96303)+E(f326(f326(f151(x96301),x96302),x96303),x96304)
% 163.42/163.17 [9631]E(f326(f326(f134(x96311),x96315),f684(x96313,x96312,x96314,x96315,x96311)),x96312)+E(f326(f326(f134(x96311),x96312),f683(x96313,x96312,x96314,x96315,x96311)),x96315)+~E(f326(f326(f134(x96311),x96315),x96314),f326(f326(f134(x96311),x96312),x96313))
% 163.42/163.17 [9668]~P109(x96681)+P14(x96681,f326(f326(f154(x96682,x96681),x96683),f149(x96682,x96681,x96683,x96684,x96685)))+~P14(x96681,f326(f326(f154(x96682,x96681),x96683),x96685))
% 163.42/163.17 [9685]~P60(x96855,x96851,x96854,x96853)+P106(f326(f326(x96851,x96852),f531(x96853,x96854,x96851,x96855,x96852)))+~P106(f326(f326(f328(x96855),x96852),x96854))
% 163.42/163.17 [9686]~P60(x96865,x96861,x96864,x96863)+P106(f326(f326(x96861,x96862),f800(x96863,x96864,x96861,x96865,x96862)))+~P106(f326(f326(f328(x96865),x96862),x96864))
% 163.42/163.17 [9792]~P106(f326(f326(f328(f927(x97921,x97921)),f326(f326(f251(x97921,x97921),x97925),x97923)),f306(x97921,x97924)))+P106(f326(f326(f328(f927(x97921,x97921)),f326(f326(f251(x97921,x97921),x97922),x97923)),f326(f326(f288(x97921,x97921,x97921),x97924),f306(x97921,x97924))))+~P106(f326(f326(f328(f927(x97921,x97921)),f326(f326(f251(x97921,x97921),x97922),x97925)),f326(f326(f288(x97921,x97921,x97921),x97924),f306(x97921,x97924))))
% 163.42/163.17 [9793]~P106(f326(f326(f328(f927(x97931,x97931)),f326(f326(f251(x97931,x97931),x97932),x97935)),f306(x97931,x97934)))+P106(f326(f326(f328(f927(x97931,x97931)),f326(f326(f251(x97931,x97931),x97932),x97933)),f326(f326(f288(x97931,x97931,x97931),x97934),f306(x97931,x97934))))+~P106(f326(f326(f328(f927(x97931,x97931)),f326(f326(f251(x97931,x97931),x97935),x97933)),f326(f326(f288(x97931,x97931,x97931),x97934),f306(x97931,x97934))))
% 163.42/163.17 [9795]P106(f326(f326(f328(f927(f921(x97951),f921(x97951))),f326(f326(f251(f921(x97951),f921(x97951)),x97952),x97953)),f158(x97951,f306(x97951,x97954))))+~P106(f326(f326(f328(f927(f921(x97951),f921(x97951))),f326(f326(f251(f921(x97951),f921(x97951)),x97952),x97955)),f158(x97951,f306(x97951,x97954))))+~P106(f326(f326(f328(f927(f921(x97951),f921(x97951))),f326(f326(f251(f921(x97951),f921(x97951)),x97955),x97953)),f158(x97951,f306(x97951,x97954))))
% 163.42/163.17 [9799]E(f326(f326(f134(x97991),x97992),f683(x97993,x97992,x97994,x97995,x97991)),x97995)+E(f326(f326(f134(x97991),f684(x97993,x97992,x97994,x97995,x97991)),x97993),x97994)+~E(f326(f326(f134(x97991),x97992),x97993),f326(f326(f134(x97991),x97995),x97994))
% 163.42/163.17 [9800]E(f326(f326(f134(x98001),x98002),f684(x98003,x98004,x98005,x98002,x98001)),x98004)+E(f326(f326(f134(x98001),f683(x98003,x98004,x98005,x98002,x98001)),x98005),x98003)+~E(f326(f326(f134(x98001),x98002),x98005),f326(f326(f134(x98001),x98004),x98003))
% 163.42/163.17 [9854]P106(f326(f326(f328(f927(x98541,x98541)),f326(f326(f251(x98541,x98541),x98542),x98543)),f326(f326(f288(x98541,x98541,x98541),x98544),f306(x98541,x98544))))+~P106(f326(f326(f328(f927(x98541,x98541)),f326(f326(f251(x98541,x98541),x98542),x98545)),f326(f326(f288(x98541,x98541,x98541),x98544),f306(x98541,x98544))))+~P106(f326(f326(f328(f927(x98541,x98541)),f326(f326(f251(x98541,x98541),x98545),x98543)),f326(f326(f288(x98541,x98541,x98541),x98544),f306(x98541,x98544))))
% 163.42/163.17 [9881]P36(x98811,x98812,x98813,x98814,x98815)+~E(f326(f190(f921(x98811)),x98814),f326(f190(f921(x98812)),x98815))+~P106(f326(f326(f256(x98811,x98812,a916),x98813),f696(x98815,x98814,x98813,x98812,x98811)))
% 163.42/163.17 [9882]P36(x98821,x98822,x98823,x98824,x98825)+~E(f326(f190(f921(x98821)),x98824),f326(f190(f921(x98822)),x98825))+~P106(f326(f326(f256(x98821,x98822,a916),x98823),f702(x98823,x98825,x98824,x98822,x98821)))
% 163.42/163.17 [9887]E(f326(f326(f134(x98871),f683(x98872,x98873,x98874,x98875,x98871)),x98874),x98872)+~E(f326(f326(f134(x98871),x98873),x98872),f326(f326(f134(x98871),x98875),x98874))+E(f326(f326(f134(x98871),f684(x98872,x98873,x98874,x98875,x98871)),x98872),x98874)
% 163.42/163.17 [9902]~P109(x99022)+E(f326(f326(f148(x99021,x99022,x99023),x99024),x99025),f326(f326(f151(x99021),x99024),x99025))+P106(f326(f326(f328(x99021),f744(x99024,x99023,x99025,x99021,x99022)),f326(f172(x99021),x99025)))
% 163.42/163.17 [9906]~P60(x99061,x99064,x99063,x99062)+~P106(f326(f326(f328(x99061),x99065),x99063))+P106(f326(f326(f328(x99061),f531(x99062,x99063,x99064,x99061,x99065)),x99062))
% 163.42/163.17 [9907]~P60(x99071,x99074,x99073,x99072)+~P106(f326(f326(f328(x99071),x99075),x99073))+P106(f326(f326(f328(x99071),f800(x99072,x99073,x99074,x99071,x99075)),x99072))
% 163.42/163.17 [10021]~P106(f326(f326(f328(f927(f928(x100211,a916),f928(x100211,a916))),f326(f326(f251(f928(x100211,a916),f928(x100211,a916)),x100214),x100213)),f317(x100211,x100212)))+~P106(f326(f326(f328(x100211),x100215),x100214))+P106(f326(f326(f328(x100211),f607(x100212,x100213,x100214,x100211,x100215)),x100213))
% 163.42/163.17 [10032]~P109(x100322)+E(f326(f326(f148(x100321,x100322,x100323),x100324),x100325),f326(f326(f151(x100321),x100324),x100325))+~P106(f326(f326(f234(x100322),f326(x100323,x100324)),f326(x100323,f744(x100324,x100323,x100325,x100321,x100322))))
% 163.42/163.17 [10081]~P26(x100813,x100814,x100815,f241(f928(x100813,a916)))+P106(f326(x100811,x100812))+~P106(f326(x100811,f326(f91(x100813,x100814,f241(f928(x100813,a916)),x100815),f813(x100812,x100811,x100815,x100814,x100813))))
% 163.42/163.17 [10228]P36(x102281,x102282,x102283,x102284,x102285)+~E(f326(f190(f921(x102281)),x102284),f326(f190(f921(x102282)),x102285))+~P106(f326(f326(x102283,f326(f326(f164(x102281),x102284),f703(x102285,x102284,x102283,x102282,x102281))),f326(f326(f164(x102282),x102285),f703(x102285,x102284,x102283,x102282,x102281))))
% 163.42/163.17 [10229]P36(x102291,x102292,x102293,x102294,x102295)+~E(f326(f190(f921(x102291)),x102294),f326(f190(f921(x102292)),x102295))+~P106(f326(f326(x102293,f326(f326(f164(x102291),x102294),f737(x102293,x102295,x102292,x102294,x102291))),f326(f326(f164(x102292),x102295),f737(x102293,x102295,x102292,x102294,x102291))))
% 163.42/163.17 [6788]~P18(x67882,x67885,x67881)+~P106(f326(f60(x67882),x67884))+E(f326(x67881,f326(f326(f308(x67882),x67883),x67884)),f326(f326(f63(x67882,x67882,x67885),x67883),x67884))
% 163.42/163.17 [6789]~E(x67893,x67894)+~E(x67892,x67895)+E(f326(f326(f308(x67891),x67892),f326(f326(f308(x67891),x67893),f189(f928(x67891,a916)))),f326(f326(f308(x67891),x67894),f326(f326(f308(x67891),x67895),f189(f928(x67891,a916)))))
% 163.42/163.17 [6799]P106(f326(x67992,x67995))+E(f177(x67991,x67992,f326(f326(f134(x67991),x67993),x67994)),f177(x67991,x67992,x67993))+~P106(f326(f326(f328(x67991),x67995),f326(f172(x67991),x67993)))
% 163.42/163.17 [6837]E(f326(x68371,x68372),f189(f928(x68373,a916)))+~E(f326(f326(f39(x68374,f928(x68373,a916)),x68375),x68371),f189(f928(x68373,a916)))+~P106(f326(f326(f328(x68374),x68372),x68375))
% 163.42/163.17 [6838]E(f326(x68381,x68382),f241(f928(x68383,a916)))+~E(f326(f326(f38(x68384,f928(x68383,a916)),x68385),x68381),f241(f928(x68383,a916)))+~P106(f326(f326(f328(x68384),x68382),x68385))
% 163.42/163.17 [7344]~E(x73442,x73444)+~P140(x73441)+E(f326(f326(f79(x73441),f326(f326(f80(x73441),x73442),x73443)),f326(f326(f80(x73441),x73444),x73445)),f326(f326(f79(x73441),f326(f326(f80(x73441),x73442),x73445)),f326(f326(f80(x73441),x73444),x73443)))
% 163.42/163.17 [7406]~P6(x74061)+~P106(f326(f326(f328(x74064),x74063),x74065))+P106(f326(f326(f234(x74061),f326(x74062,x74063)),f326(f326(f39(x74064,x74061),x74065),x74062)))
% 163.42/163.17 [7459]~P108(x74591)+P106(f326(f326(f234(x74591),f326(x74592,x74593)),f326(x74594,x74593)))+~P106(f326(f326(f234(f928(x74595,x74591)),x74592),x74594))
% 163.42/163.17 [7579]E(x75791,x75792)+E(x75793,x75791)+~E(f326(f326(f308(x75794),x75791),f326(f326(f308(x75794),x75795),f189(f928(x75794,a916)))),f326(f326(f308(x75794),x75792),f326(f326(f308(x75794),x75793),f189(f928(x75794,a916)))))
% 163.42/163.17 [7580]E(x75801,x75802)+E(x75803,x75801)+~E(f326(f326(f308(x75804),x75803),f326(f326(f308(x75804),x75802),f189(f928(x75804,a916)))),f326(f326(f308(x75804),x75805),f326(f326(f308(x75804),x75801),f189(f928(x75804,a916)))))
% 163.42/163.17 [7581]E(x75811,x75812)+E(x75811,x75813)+~E(f326(f326(f308(x75814),x75813),f326(f326(f308(x75814),x75812),f189(f928(x75814,a916)))),f326(f326(f308(x75814),x75815),f326(f326(f308(x75814),x75811),f189(f928(x75814,a916)))))
% 163.42/163.17 [7582]E(x75821,x75822)+E(x75821,x75823)+~E(f326(f326(f308(x75824),x75821),f326(f326(f308(x75824),x75825),f189(f928(x75824,a916)))),f326(f326(f308(x75824),x75822),f326(f326(f308(x75824),x75823),f189(f928(x75824,a916)))))
% 163.42/163.17 [8107]P26(x81071,x81072,x81073,x81074)+~P26(x81071,x81072,x81073,x81075)+~P106(f326(f326(f234(f928(x81071,a916)),x81074),x81075))
% 163.42/163.17 [8137]~E(f326(x81373,x81375),x81374)+~P26(x81371,x81372,x81373,f241(f928(x81371,a916)))+E(f326(f91(x81371,x81372,f241(f928(x81371,a916)),x81373),x81374),x81375)
% 163.42/163.17 [8284]E(x82841,x82842)+~E(f326(f309(x82843,x82844,x82845),x82841),f326(f309(x82843,x82844,x82845),x82842))+~P26(x82843,x82844,x82845,f326(f326(f110(f928(x82843,a916)),x82841),x82842))
% 163.42/163.17 [8360]P106(f326(x83602,x83604))+E(f326(f326(f138(x83601),f326(f190(f921(x83601)),f177(x83601,x83602,x83603))),x83603),f326(f326(f151(x83601),x83604),x83605))+~E(f326(f326(f134(x83601),f177(x83601,x83602,x83603)),f326(f326(f151(x83601),x83604),x83605)),x83603)
% 163.42/163.17 [8388]~P26(x83881,x83882,x83883,x83885)+~P26(x83881,x83882,x83883,x83884)+P26(x83881,x83882,x83883,f326(f326(f101(f928(x83881,a916)),x83884),x83885))
% 163.42/163.17 [8495]~P72(x84951)+E(f326(f326(f79(x84951),f326(x84952,x84953)),f326(f165(x84951),f326(f326(f154(x84954,x84951),x84952),f170(x84954,x84953,x84955)))),f326(f165(x84951),f326(f326(f154(x84954,x84951),x84952),x84955)))+~P106(f326(f326(f328(x84954),x84953),f326(f172(x84954),x84955)))
% 163.42/163.17 [8582]~P109(x85821)+~P14(x85821,f326(f326(f154(x85822,x85821),x85823),x85825))+P14(x85821,f326(f326(f154(x85822,x85821),x85823),f326(f326(f148(x85822,x85821,x85823),x85824),x85825)))
% 163.42/163.17 [8666]~P6(x86661)+P106(f326(f326(f234(x86661),f326(f326(f38(x86662,x86661),x86663),x86664)),f326(f326(f38(x86662,x86661),x86665),x86664)))+~P106(f326(f326(f234(f928(x86662,a916)),x86665),x86663))
% 163.42/163.17 [8667]~P6(x86671)+P106(f326(f326(f234(x86671),f326(f326(f39(x86672,x86671),x86673),x86674)),f326(f326(f39(x86672,x86671),x86675),x86674)))+~P106(f326(f326(f234(f928(x86672,a916)),x86673),x86675))
% 163.42/163.17 [8700]~P109(x87003)+P106(f326(f137(x87001),x87002))+~P106(f326(f137(x87001),f326(f326(f148(x87001,x87003,x87004),x87005),x87002)))
% 163.42/163.17 [8847]~P109(x88471)+~P106(f326(f326(f328(x88472),x88473),f326(f172(x88472),x88474)))+~P106(f326(f137(x88472),f326(f326(f148(x88472,x88471,x88475),x88473),x88474)))
% 163.42/163.17 [8938]~P109(x89381)+P14(x89381,f326(f326(f154(x89382,x89381),x89383),x89384))+~P14(x89381,f326(f326(f154(x89382,x89381),x89383),f326(f326(f148(x89382,x89381,x89383),x89385),x89384)))
% 163.42/163.17 [8984]~P26(x89842,x89841,x89844,x89843)+E(f326(f309(x89841,x89842,f91(x89842,x89841,x89843,x89844)),f326(f309(x89842,x89841,x89844),x89845)),x89845)+~P106(f326(f326(f234(f928(x89842,a916)),x89845),x89843))
% 163.42/163.17 [9037]~P109(x90372)+E(f326(f326(f148(x90371,x90372,x90373),x90374),x90375),f149(x90371,x90372,x90373,x90374,x90375))+P106(f326(f326(f328(x90372),f326(x90373,x90374)),f326(f309(x90371,x90372,x90373),f326(f172(x90371),x90375))))
% 163.42/163.17 [9118]~P109(x91182)+E(f149(x91181,x91182,x91183,x91184,x91185),x91185)+~P106(f326(f326(f328(x91182),f326(x91183,x91184)),f326(f309(x91181,x91182,x91183),f326(f172(x91181),x91185))))
% 163.42/163.17 [9132]~P26(x91322,x91321,x91323,x91325)+P106(f326(f326(f235(f928(x91321,a916)),f326(f309(x91322,x91321,x91323),x91324)),f326(f309(x91322,x91321,x91323),x91325)))+~P106(f326(f326(f235(f928(x91322,a916)),x91324),x91325))
% 163.42/163.17 [9289]~P26(x92891,x92892,x92893,f241(f928(x92891,a916)))+~P106(f326(f326(f234(f928(x92892,a916)),x92894),f326(f309(x92891,x92892,x92893),x92895)))+P106(f326(f326(f234(f928(x92891,a916)),f326(f310(x92891,x92892,x92893),x92894)),x92895))
% 163.42/163.17 [9312]~E(f326(f309(x93123,x93121,x93124),f241(f928(x93123,a916))),f241(f928(x93121,a916)))+P106(f326(f326(f234(f928(x93121,a916)),x93122),f326(f309(x93123,x93121,x93124),x93125)))+~P106(f326(f326(f234(f928(x93123,a916)),f326(f310(x93123,x93121,x93124),x93122)),x93125))
% 163.42/163.17 [9418]~P26(x94181,x94184,x94185,f241(f928(x94181,a916)))+~P106(f326(f326(f234(f928(x94184,a916)),f326(f309(x94181,x94184,x94185),x94182)),f326(f309(x94181,x94184,x94185),x94183)))+P106(f326(f326(f234(f928(x94181,a916)),x94182),x94183))
% 163.42/163.17 [9543]~P83(x95431)+~E(f326(x95433,f721(x95433,x95434,x95435,x95432,x95431)),f2(x95431))+E(f326(f165(x95431),f326(f326(f154(x95432,x95431),x95433),f326(f136(x95432,x95434),x95435))),f326(f165(x95431),f326(f326(f154(x95432,x95431),x95433),x95435)))
% 163.42/163.17 [9570]~P27(x95701,x95702,x95703,f241(f928(x95701,a916)),f241(f928(x95702,a916)))+~P106(f326(f326(f234(f928(x95702,a916)),x95704),f326(f309(x95701,x95702,x95703),x95705)))+P106(f326(f326(f234(f928(x95701,a916)),f326(f310(x95701,x95702,x95703),x95704)),x95705))
% 163.42/163.17 [9599]~P27(x95993,x95991,x95994,f241(f928(x95993,a916)),f241(f928(x95991,a916)))+P106(f326(f326(f234(f928(x95991,a916)),x95992),f326(f309(x95993,x95991,x95994),x95995)))+~P106(f326(f326(f234(f928(x95993,a916)),f326(f310(x95993,x95991,x95994),x95992)),x95995))
% 163.42/163.17 [9733]~P17(x97331,x97332,x97333)+~P106(f326(f60(x97331),x97335))+P106(f326(f65(x97331,x97332,x97333,x97334,x97335),f326(f326(f63(x97331,x97332,x97333),x97334),x97335)))
% 163.42/163.17 [9812]~P27(x98122,x98121,x98124,f241(f928(x98122,a916)),f241(f928(x98121,a916)))+~P27(x98121,x98123,x98125,f241(f928(x98121,a916)),f241(f928(x98123,a916)))+E(f326(f72(x98121,x98122,x98123,f91(x98122,x98121,f241(f928(x98122,a916)),x98124)),f91(x98121,x98123,f241(f928(x98121,a916)),x98125)),f91(x98122,x98123,f241(f928(x98122,a916)),f326(f72(x98121,x98123,x98122,x98125),x98124)))
% 163.42/163.17 [9813]P106(f326(x98131,f645(x98132,x98131,x98133,x98134,x98135)))+~P106(f326(f326(f234(f928(x98135,a916)),x98134),x98133))+P106(f326(f326(f234(f928(x98135,a916)),f326(f326(f101(f928(x98135,a916)),x98134),f326(f261(x98135),x98131))),f326(f326(f101(f928(x98135,a916)),x98133),f326(f261(x98135),x98132))))
% 163.42/163.17 [9827]~P83(x98271)+~P106(f326(x98274,f721(x98273,x98274,x98275,x98272,x98271)))+E(f326(f165(x98271),f326(f326(f154(x98272,x98271),x98273),f326(f136(x98272,x98274),x98275))),f326(f165(x98271),f326(f326(f154(x98272,x98271),x98273),x98275)))
% 163.42/163.17 [9904]~P6(x99045)+P106(f326(f326(f328(x99041),f434(x99042,x99043,x99041,x99044,x99045)),x99043))+P106(f326(f326(f234(x99045),x99044),f326(f326(f38(x99041,x99045),x99043),x99042)))
% 163.42/163.17 [9908]~P83(x99081)+E(f326(f165(x99081),f326(f326(f154(x99082,x99081),x99083),f326(f136(x99082,x99084),x99085))),f326(f165(x99081),f326(f326(f154(x99082,x99081),x99083),x99085)))+P106(f326(f326(f328(x99082),f721(x99083,x99084,x99085,x99082,x99081)),f326(f172(x99082),x99085)))
% 163.42/163.17 [9918]~P106(f326(x99185,f645(x99185,x99183,x99184,x99182,x99181)))+~P106(f326(f326(f234(f928(x99181,a916)),x99182),x99184))+P106(f326(f326(f234(f928(x99181,a916)),f326(f326(f101(f928(x99181,a916)),x99182),f326(f261(x99181),x99183))),f326(f326(f101(f928(x99181,a916)),x99184),f326(f261(x99181),x99185))))
% 163.42/163.17 [9934]~P26(x99345,x99343,x99344,f241(f928(x99345,a916)))+P106(f326(x99341,x99342))+P106(f326(f326(f328(x99343),f813(x99342,x99341,x99344,x99343,x99345)),f326(f309(x99345,x99343,x99344),f241(f928(x99345,a916)))))
% 163.42/163.17 [9957]P36(x99571,x99572,x99573,x99574,x99575)+~E(f326(f190(f921(x99572)),x99575),f326(f190(f921(x99571)),x99574))+P106(f326(f326(f235(a920),f703(x99575,x99574,x99573,x99572,x99571)),f326(f190(f921(x99571)),x99574)))
% 163.42/163.17 [9958]P36(x99581,x99582,x99583,x99584,x99585)+~E(f326(f190(f921(x99582)),x99585),f326(f190(f921(x99581)),x99584))+P106(f326(f326(f235(a920),f737(x99583,x99585,x99582,x99584,x99581)),f326(f190(f921(x99581)),x99584)))
% 163.42/163.17 [9989]P106(f326(f326(f328(x99891),f645(x99892,x99893,x99894,x99895,x99891)),x99895))+~P106(f326(f326(f234(f928(x99891,a916)),x99895),x99894))+P106(f326(f326(f234(f928(x99891,a916)),f326(f326(f101(f928(x99891,a916)),x99895),f326(f261(x99891),x99893))),f326(f326(f101(f928(x99891,a916)),x99894),f326(f261(x99891),x99892))))
% 163.42/163.17 [10033]~P6(x100331)+~P106(f326(f326(f234(x100331),x100332),f326(x100335,f434(x100335,x100334,x100333,x100332,x100331))))+P106(f326(f326(f234(x100331),x100332),f326(f326(f38(x100333,x100331),x100334),x100335)))
% 163.42/163.17 [10070]~P77(x100701)+~P106(f326(f60(x100702),x100705))+E(f326(f326(f326(f64(x100701,x100702,f80(x100701)),f326(f326(f20(x100702,x100701,x100701),f326(f326(f10(x100701,f928(x100701,x100701),x100702),f80(x100701)),x100703)),x100704)),f77(x100701)),x100705),f326(f326(f80(x100701),f326(f326(f326(f64(x100701,x100702,f80(x100701)),x100703),f77(x100701)),x100705)),f326(f326(f326(f64(x100701,x100702,f80(x100701)),x100704),f77(x100701)),x100705)))
% 163.42/163.17 [10125]~P106(f326(f326(f328(f927(f928(x101251,a916),f928(x101251,a916))),f326(f326(f251(f928(x101251,a916),f928(x101251,a916)),x101255),x101254)),f317(x101251,x101253)))+~P106(f326(f326(f328(x101251),x101252),x101255))+P106(f326(f326(f328(f927(x101251,x101251)),f326(f326(f251(x101251,x101251),x101252),f607(x101253,x101254,x101255,x101251,x101252))),x101253))
% 163.42/163.17 [10265]~P106(f326(f326(f328(f927(f921(x102651),f921(x102651))),f326(f326(f251(f921(x102651),f921(x102651)),f326(f326(f134(x102651),x102655),x102652)),f326(f326(f134(x102651),x102655),x102653))),f147(x102651,x102654)))+P106(f326(f326(f328(f927(f921(x102651),f921(x102651))),f326(f326(f251(f921(x102651),f921(x102651)),x102652),x102653)),f147(x102651,x102654)))+P106(f326(f326(f328(f927(x102651,x102651)),f326(f326(f251(x102651,x102651),f689(x102654,x102653,x102652,x102655,x102651)),f689(x102654,x102653,x102652,x102655,x102651))),x102654))
% 163.42/163.17 [7462]~E(x74623,x74625)+E(f326(f326(f164(x74621),f326(f326(f159(x74621,x74622),x74623),x74624)),x74625),x74624)+~P106(f326(f326(f235(a920),x74623),f326(f190(f921(x74621)),x74622)))
% 163.42/163.17 [7575]~E(f326(f326(f134(x75751),x75752),x75754),f326(f326(f134(x75751),x75753),x75755))+E(f326(f326(f175(x75751),f326(f190(f921(x75751)),x75752)),x75753),x75752)+P106(f326(f326(f234(a920),f326(f190(f921(x75751)),x75753)),f326(f190(f921(x75751)),x75752)))
% 163.42/163.17 [8068]~E(f326(f326(f134(x80681),x80682),x80684),f326(f326(f134(x80681),x80683),x80685))+E(f326(f326(f175(x80681),f326(f190(f921(x80681)),x80682)),x80683),x80682)+~P106(f326(f326(f234(a920),f326(f190(f921(x80681)),x80682)),f326(f190(f921(x80681)),x80683)))
% 163.42/163.17 [8092]~P106(f326(f60(x80921),f326(x80924,x80925)))+~P106(f326(f326(f328(x80922),x80925),x80923))+P106(f326(f60(x80921),f326(f326(f38(x80922,f928(x80921,a916)),x80923),x80924)))
% 163.42/163.17 [8268]~P54(x82681,x82683,x82685)+~P54(x82681,x82682,x82684)+P54(x82681,f326(f326(f110(f928(x82681,a916)),x82682),x82683),f326(f326(f110(f928(f927(x82681,x82681),a916)),x82684),x82685))
% 163.42/163.17 [8269]~P54(x82691,x82693,x82695)+~P54(x82691,x82692,x82694)+P54(x82691,f326(f326(f101(f928(x82691,a916)),x82692),x82693),f326(f326(f101(f928(f927(x82691,x82691),a916)),x82694),x82695))
% 163.42/163.17 [8621]E(f326(f326(f251(x86211,x86212),f326(f326(f164(x86211),x86213),x86214)),f326(f326(f164(x86212),x86215),x86214)),f326(f326(f164(f927(x86211,x86212)),f326(f326(f181(x86211,x86212),x86213),x86215)),x86214))+~P106(f326(f326(f235(a920),x86214),f326(f190(f921(x86211)),x86213)))+~P106(f326(f326(f235(a920),x86214),f326(f190(f921(x86212)),x86215)))
% 163.42/163.17 [8774]~P54(x87741,x87743,x87744)+P106(f326(f326(f328(x87741),x87742),x87743))+~P106(f326(f326(f328(f927(x87741,x87741)),f326(f326(f251(x87741,x87741),x87745),x87742)),x87744))
% 163.42/163.17 [8775]~P54(x87751,x87753,x87754)+P106(f326(f326(f328(x87751),x87752),x87753))+~P106(f326(f326(f328(f927(x87751,x87751)),f326(f326(f251(x87751,x87751),x87752),x87755)),x87754))
% 163.42/163.17 [8776]~P9(x87761,x87763,x87764)+P106(f326(f326(f328(x87761),x87762),x87763))+~P106(f326(f326(f328(f927(x87761,x87761)),f326(f326(f251(x87761,x87761),x87765),x87762)),x87764))
% 163.42/163.17 [8777]~P9(x87771,x87773,x87774)+P106(f326(f326(f328(x87771),x87772),x87773))+~P106(f326(f326(f328(f927(x87771,x87771)),f326(f326(f251(x87771,x87771),x87772),x87775)),x87774))
% 163.42/163.17 [9061]~P9(x90611,x90615,x90612)+E(f326(f284(x90611,x90611,x90612),f326(f326(f308(x90611),x90613),f189(f928(x90611,a916)))),f326(f284(x90611,x90611,x90612),f326(f326(f308(x90611),x90614),f189(f928(x90611,a916)))))+~P106(f326(f326(f328(f927(x90611,x90611)),f326(f326(f251(x90611,x90611),x90613),x90614)),x90612))
% 163.42/163.17 [9245]P106(f326(x92451,x92452))+~P106(f326(f326(f328(x92453),x92452),x92455))+P106(f326(f326(f328(x92453),f377(x92451,x92454,x92455,x92453)),f326(f326(f110(f928(x92453,a916)),x92455),x92454)))
% 163.42/163.17 [9246]P106(f326(x92461,x92462))+~P106(f326(f326(f328(x92463),x92462),x92464))+P106(f326(f326(f328(x92463),f377(x92461,x92464,x92465,x92463)),f326(f326(f110(f928(x92463,a916)),x92465),x92464)))
% 163.42/163.17 [9254]~P106(f326(x92542,x92545))+~P106(f326(f326(f328(x92541),x92545),x92544))+P106(f326(f326(f328(x92541),f366(x92542,x92543,x92544,x92541)),f326(f326(f110(f928(x92541,a916)),x92544),x92543)))
% 163.42/163.17 [9255]~P106(f326(x92552,x92555))+~P106(f326(f326(f328(x92551),x92555),x92553))+P106(f326(f326(f328(x92551),f366(x92552,x92553,x92554,x92551)),f326(f326(f110(f928(x92551,a916)),x92554),x92553)))
% 163.42/163.17 [9270]~P106(f326(f326(f234(f928(x92701,a916)),x92703),x92705))+~P106(f326(f326(f234(f928(x92701,a916)),x92702),x92704))+P106(f326(f326(f234(f928(x92701,a916)),f326(f326(f110(f928(x92701,a916)),x92702),x92703)),f326(f326(f110(f928(x92701,a916)),x92704),x92705)))
% 163.42/163.17 [9271]~P106(f326(f326(f234(f928(x92711,a916)),x92715),x92713))+~P106(f326(f326(f234(f928(x92711,a916)),x92712),x92714))+P106(f326(f326(f234(f928(x92711,a916)),f326(f326(f3(f928(x92711,a916)),x92712),x92713)),f326(f326(f3(f928(x92711,a916)),x92714),x92715)))
% 163.42/163.17 [9272]~P106(f326(f326(f234(f928(x92721,a916)),x92723),x92725))+~P106(f326(f326(f234(f928(x92721,a916)),x92722),x92724))+P106(f326(f326(f234(f928(x92721,a916)),f326(f326(f101(f928(x92721,a916)),x92722),x92723)),f326(f326(f101(f928(x92721,a916)),x92724),x92725)))
% 163.42/163.17 [9366]P106(f326(f326(f328(f927(x93661,x93661)),f326(f326(f251(x93661,x93661),x93662),x93663)),f320(x93661,x93664,x93665)))+~P106(f326(f326(f234(a920),f326(x93664,x93662)),f326(x93664,x93663)))+~P106(f326(f326(f328(f927(x93661,x93661)),f326(f326(f251(x93661,x93661),x93662),x93663)),x93665))
% 163.42/163.17 [9553]P106(f326(f326(f328(f927(x95531,x95531)),f326(f326(f251(x95531,x95531),x95532),x95533)),f306(x95531,x95534)))+~P106(f326(f326(f328(f927(x95531,x95531)),f326(f326(f251(x95531,x95531),x95532),x95535)),f306(x95531,x95534)))+~P106(f326(f326(f328(f927(x95531,x95531)),f326(f326(f251(x95531,x95531),x95535),x95533)),x95534))
% 163.42/163.17 [9554]P106(f326(f326(f328(f927(x95541,x95541)),f326(f326(f251(x95541,x95541),x95542),x95543)),f306(x95541,x95544)))+~P106(f326(f326(f328(f927(x95541,x95541)),f326(f326(f251(x95541,x95541),x95545),x95543)),f306(x95541,x95544)))+~P106(f326(f326(f328(f927(x95541,x95541)),f326(f326(f251(x95541,x95541),x95542),x95545)),x95544))
% 163.42/163.17 [9655]E(x96551,x96552)+E(f326(a112,f624(x96553,x96554,x96551,x96552,x96555)),x96554)+~P106(f326(f326(f328(f927(x96555,x96555)),f326(f326(f251(x96555,x96555),x96552),x96551)),f326(f326(f183(f927(x96555,x96555),a916),x96554),x96553)))
% 163.42/163.17 [9656]E(x96561,x96562)+E(f326(a112,f626(x96563,x96564,x96561,x96562,x96565)),x96564)+~P106(f326(f326(f328(f927(x96565,x96565)),f326(f326(f251(x96565,x96565),x96562),x96561)),f326(f326(f183(f927(x96565,x96565),a916),x96564),x96563)))
% 163.42/163.17 [9657]E(x96571,f2(a920))+E(f326(a112,f624(x96572,x96571,x96573,x96574,x96575)),x96571)+~P106(f326(f326(f328(f927(x96575,x96575)),f326(f326(f251(x96575,x96575),x96574),x96573)),f326(f326(f183(f927(x96575,x96575),a916),x96571),x96572)))
% 163.42/163.17 [9658]E(x96581,f2(a920))+E(f326(a112,f626(x96582,x96581,x96583,x96584,x96585)),x96581)+~P106(f326(f326(f328(f927(x96585,x96585)),f326(f326(f251(x96585,x96585),x96584),x96583)),f326(f326(f183(f927(x96585,x96585),a916),x96581),x96582)))
% 163.42/163.17 [9681]P106(f326(f326(f328(f927(x96811,x96811)),f326(f326(f251(x96811,x96811),x96812),x96813)),f326(f326(f288(x96811,x96811,x96811),x96814),f306(x96811,x96814))))+~P106(f326(f326(f328(f927(x96811,x96811)),f326(f326(f251(x96811,x96811),x96812),x96815)),x96814))+~P106(f326(f326(f328(f927(x96811,x96811)),f326(f326(f251(x96811,x96811),x96815),x96813)),x96814))
% 163.42/163.17 [9691]~P106(f326(f326(f328(f927(x96911,x96911)),f326(f326(f251(x96911,x96911),x96912),x96915)),f306(x96911,x96914)))+P106(f326(f326(f328(f927(x96911,x96911)),f326(f326(f251(x96911,x96911),x96912),x96913)),f326(f326(f288(x96911,x96911,x96911),x96914),f306(x96911,x96914))))+~P106(f326(f326(f328(f927(x96911,x96911)),f326(f326(f251(x96911,x96911),x96915),x96913)),x96914))
% 163.42/163.17 [9727]~P9(x97271,x97275,x97272)+~P106(f326(f326(f328(f927(x97271,x97271)),f326(f326(f251(x97271,x97271),x97273),x97274)),x97272))+P106(f326(f326(f234(f928(x97271,a916)),f326(f284(x97271,x97271,x97272),f326(f326(f308(x97271),x97273),f189(f928(x97271,a916))))),f326(f284(x97271,x97271,x97272),f326(f326(f308(x97271),x97274),f189(f928(x97271,a916))))))
% 163.42/163.17 [9785]P106(f326(f326(f328(f927(x97851,x97851)),f326(f326(f251(x97851,x97851),x97852),x97853)),f326(f326(f288(x97851,x97851,x97851),x97854),f306(x97851,x97854))))+~P106(f326(f326(f328(f927(x97851,x97851)),f326(f326(f251(x97851,x97851),x97852),x97855)),f326(f326(f288(x97851,x97851,x97851),x97854),f306(x97851,x97854))))+~P106(f326(f326(f328(f927(x97851,x97851)),f326(f326(f251(x97851,x97851),x97855),x97853)),x97854))
% 163.42/163.17 [9786]P106(f326(f326(f328(f927(x97861,x97861)),f326(f326(f251(x97861,x97861),x97862),x97863)),f326(f326(f288(x97861,x97861,x97861),x97864),f306(x97861,x97864))))+~P106(f326(f326(f328(f927(x97861,x97861)),f326(f326(f251(x97861,x97861),x97865),x97863)),f326(f326(f288(x97861,x97861,x97861),x97864),f306(x97861,x97864))))+~P106(f326(f326(f328(f927(x97861,x97861)),f326(f326(f251(x97861,x97861),x97862),x97865)),x97864))
% 163.42/163.17 [9836]~P106(f326(f65(x98361,x98361,x98364,x98362,x98363),x98365))+P106(f326(f326(f328(x98361),x98362),x98363))+P106(f326(f61(x98361,x98364,f326(f326(f308(x98361),x98362),x98363)),x98365))
% 163.42/163.17 [9874]~E(f326(f309(x98743,x98742,x98745),x98744),x98741)+E(x98741,f189(f928(x98742,a916)))+P106(f326(f326(f234(f928(x98743,a916)),f326(f309(x98742,x98743,f498(x98744,x98743,x98742,x98741)),x98741)),x98744))
% 163.42/163.17 [9921]~P6(x99215)+P106(f326(f326(f328(x99211),f431(x99212,x99213,x99214,x99211,x99215)),x99214))+P106(f326(f326(f234(x99215),f326(f326(f39(x99211,x99215),x99214),x99213)),x99212))
% 163.42/163.17 [9976]P36(x99761,x99762,x99763,x99764,x99765)+~E(f326(f190(f921(x99761)),x99764),f326(f190(f921(x99762)),x99765))+P106(f326(f326(f328(f927(x99761,x99762)),f696(x99765,x99764,x99763,x99762,x99761)),f326(f172(f927(x99761,x99762)),f326(f326(f181(x99761,x99762),x99764),x99765))))
% 163.42/163.17 [9977]P36(x99771,x99772,x99773,x99774,x99775)+~E(f326(f190(f921(x99771)),x99774),f326(f190(f921(x99772)),x99775))+P106(f326(f326(f328(f927(x99771,x99772)),f702(x99773,x99775,x99774,x99772,x99771)),f326(f172(f927(x99771,x99772)),f326(f326(f181(x99771,x99772),x99774),x99775))))
% 163.42/163.17 [10104]E(x101041,x101042)+P106(f326(f326(f328(f927(x101043,x101043)),f326(f326(f251(x101043,x101043),x101041),f627(x101044,x101045,x101042,x101041,x101043))),x101044))+~P106(f326(f326(f328(f927(x101043,x101043)),f326(f326(f251(x101043,x101043),x101041),x101042)),f326(f326(f183(f927(x101043,x101043),a916),x101045),x101044)))
% 163.42/163.17 [10105]E(x101051,f2(a920))+P106(f326(f326(f328(f927(x101052,x101052)),f326(f326(f251(x101052,x101052),x101053),f627(x101054,x101051,x101055,x101053,x101052))),x101054))+~P106(f326(f326(f328(f927(x101052,x101052)),f326(f326(f251(x101052,x101052),x101053),x101055)),f326(f326(f183(f927(x101052,x101052),a916),x101051),x101054)))
% 163.42/163.17 [10146]~P6(x101461)+~P106(f326(f326(f234(x101461),f326(x101464,f431(x101465,x101464,x101463,x101462,x101461))),x101465))+P106(f326(f326(f234(x101461),f326(f326(f39(x101462,x101461),x101463),x101464)),x101465))
% 163.42/163.17 [10198]E(x101981,x101982)+P106(f326(f326(f328(f927(x101983,x101983)),f326(f326(f251(x101983,x101983),f625(x101984,x101985,x101981,x101982,x101983)),x101981)),x101984))+~P106(f326(f326(f328(f927(x101983,x101983)),f326(f326(f251(x101983,x101983),x101982),x101981)),f326(f326(f183(f927(x101983,x101983),a916),x101985),x101984)))
% 163.42/163.17 [10199]E(x101991,f2(a920))+P106(f326(f326(f328(f927(x101992,x101992)),f326(f326(f251(x101992,x101992),f625(x101993,x101991,x101994,x101995,x101992)),x101994)),x101993))+~P106(f326(f326(f328(f927(x101992,x101992)),f326(f326(f251(x101992,x101992),x101995),x101994)),f326(f326(f183(f927(x101992,x101992),a916),x101991),x101993)))
% 163.42/163.17 [10203]E(x102031,x102032)+P106(f326(f326(f328(f927(x102033,x102033)),f326(f326(f251(x102033,x102033),x102031),f625(x102034,x102035,x102032,x102031,x102033))),f326(f326(f183(f927(x102033,x102033),a916),f624(x102034,x102035,x102032,x102031,x102033)),x102034)))+~P106(f326(f326(f328(f927(x102033,x102033)),f326(f326(f251(x102033,x102033),x102031),x102032)),f326(f326(f183(f927(x102033,x102033),a916),x102035),x102034)))
% 163.42/163.17 [10204]E(x102041,f2(a920))+P106(f326(f326(f328(f927(x102042,x102042)),f326(f326(f251(x102042,x102042),x102043),f625(x102044,x102041,x102045,x102043,x102042))),f326(f326(f183(f927(x102042,x102042),a916),f624(x102044,x102041,x102045,x102043,x102042)),x102044)))+~P106(f326(f326(f328(f927(x102042,x102042)),f326(f326(f251(x102042,x102042),x102043),x102045)),f326(f326(f183(f927(x102042,x102042),a916),x102041),x102044)))
% 163.42/163.17 [10256]E(x102561,x102562)+P106(f326(f326(f328(f927(x102563,x102563)),f326(f326(f251(x102563,x102563),f627(x102564,x102565,x102561,x102562,x102563)),x102561)),f326(f326(f183(f927(x102563,x102563),a916),f626(x102564,x102565,x102561,x102562,x102563)),x102564)))+~P106(f326(f326(f328(f927(x102563,x102563)),f326(f326(f251(x102563,x102563),x102562),x102561)),f326(f326(f183(f927(x102563,x102563),a916),x102565),x102564)))
% 163.42/163.17 [10257]E(x102571,f2(a920))+P106(f326(f326(f328(f927(x102572,x102572)),f326(f326(f251(x102572,x102572),f627(x102573,x102571,x102574,x102575,x102572)),x102574)),f326(f326(f183(f927(x102572,x102572),a916),f626(x102573,x102571,x102574,x102575,x102572)),x102573)))+~P106(f326(f326(f328(f927(x102572,x102572)),f326(f326(f251(x102572,x102572),x102575),x102574)),f326(f326(f183(f927(x102572,x102572),a916),x102571),x102573)))
% 163.42/163.17 [10292]~P72(x102922)+~P106(f326(f60(x102921),x102925))+E(f326(f326(f8(x102921,x102922),f326(f326(f9(x102921,x102922,x102922),f326(f326(f20(x102921,x102922,f928(x102922,x102922)),f326(f326(f10(a916,f928(x102922,f928(x102922,x102922)),x102921),f96(x102922)),f326(f326(f9(x102921,f928(x102921,a916),a916),f328(x102921)),x102923))),x102924)),f2(x102922))),x102925),f326(f326(f8(x102921,x102922),x102924),f326(f326(f101(f928(x102921,a916)),x102925),x102923)))
% 163.42/163.17 [8844]~P72(x88441)+~P106(f326(f60(x88444),x88445))+E(f326(f326(f79(x88441),f326(x88442,x88443)),f326(f326(f8(x88444,x88441),x88442),f326(f326(f3(f928(x88444,a916)),x88445),f326(f326(f308(x88444),x88443),f189(f928(x88444,a916)))))),f326(f326(f8(x88444,x88441),x88442),f326(f326(f308(x88444),x88443),x88445)))
% 163.42/163.17 [8845]~P77(x88451)+~P106(f326(f60(x88454),x88455))+E(f326(f326(f80(x88451),f326(x88452,x88453)),f326(f326(f11(x88454,x88451),x88452),f326(f326(f3(f928(x88454,a916)),x88455),f326(f326(f308(x88454),x88453),f189(f928(x88454,a916)))))),f326(f326(f11(x88454,x88451),x88452),f326(f326(f308(x88454),x88453),x88455)))
% 163.42/163.17 [9178]~P109(x91782)+~P14(x91782,f326(f168(x91782),f326(f326(f154(x91781,x91782),x91784),x91785)))+E(f326(f136(x91781,f326(f326(f10(x91782,a916,x91781),f326(f235(x91782),x91783)),x91784)),x91785),f177(x91781,f326(f326(f10(x91782,a916,x91781),f326(f235(x91782),x91783)),x91784),x91785))
% 163.42/163.17 [9202]~P72(x92021)+E(f326(f326(f79(x92021),f326(f326(f8(a920,x92021),x92022),f302(a920,x92023,x92024))),f326(f326(f8(a920,x92021),x92022),f302(a920,f326(f326(f79(a920),x92024),f77(a920)),f326(f326(f79(a920),x92024),x92025)))),f326(f326(f8(a920,x92021),x92022),f302(a920,x92023,f326(f326(f79(a920),x92024),x92025))))+~P106(f326(f326(f234(a920),x92023),f326(f326(f79(a920),x92024),f77(a920))))
% 163.42/163.17 [9203]~P106(f326(f326(f328(x92031),x92034),x92035))+~P106(f326(f326(f234(f928(x92031,a916)),f326(f172(x92031),x92032)),x92035))+P106(f326(f326(f234(f928(x92031,a916)),f326(f172(x92031),f326(f326(f159(x92031,x92032),x92033),x92034))),x92035))
% 163.42/163.17 [9427]~P6(x94272)+~P106(f326(f60(x94271),x94275))+E(f326(f326(f63(x94271,x94272,f326(f326(f10(x94272,f928(x94272,x94272),x94271),f110(x94272)),x94273)),x94274),x94275),f326(f326(f110(x94272),x94274),f326(f326(f39(x94271,x94272),x94275),x94273)))
% 163.42/163.17 [9428]~P6(x94282)+~P106(f326(f60(x94281),x94285))+E(f326(f326(f63(x94281,x94282,f326(f326(f10(x94282,f928(x94282,x94282),x94281),f101(x94282)),x94283)),x94284),x94285),f326(f326(f101(x94282),x94284),f326(f326(f38(x94281,x94282),x94285),x94283)))
% 163.42/163.17 [9478]E(f326(x94781,x94782),f326(x94781,x94783))+P106(f326(f326(f235(a920),f326(x94781,x94782)),f326(x94781,x94783)))+~P106(f326(f326(f328(f927(x94784,x94784)),f326(f326(f251(x94784,x94784),x94782),x94783)),f153(x94784,f326(f326(f151(f928(x94784,a920)),x94781),x94785))))
% 163.42/163.17 [9511]~E(f326(x95114,x95112),f326(x95114,x95113))+~P106(f326(f326(f328(f927(x95111,x95111)),f326(f326(f251(x95111,x95111),x95112),x95113)),f153(x95111,x95115)))+P106(f326(f326(f328(f927(x95111,x95111)),f326(f326(f251(x95111,x95111),x95112),x95113)),f153(x95111,f326(f326(f151(f928(x95111,a920)),x95114),x95115))))
% 163.42/163.17 [9531]~P26(x95311,x95312,x95313,x95315)+P26(x95311,x95312,x95313,f326(f326(f308(x95311),x95314),x95315))+P106(f326(f326(f328(x95312),f326(x95313,x95314)),f326(f309(x95311,x95312,x95313),f326(f326(f3(f928(x95311,a916)),x95315),f326(f326(f308(x95311),x95314),f189(f928(x95311,a916)))))))
% 163.42/163.17 [9534]P106(f326(x95342,x95345))+~P106(f326(f326(f328(x95341),x95345),f326(f172(x95341),x95343)))+E(f326(f326(f138(x95341),f326(f190(f921(x95341)),f177(x95341,x95342,f326(f326(f134(x95341),x95343),x95344)))),f326(f326(f134(x95341),x95343),x95344)),f326(f326(f134(x95341),f326(f326(f138(x95341),f326(f190(f921(x95341)),f177(x95341,x95342,x95343))),x95343)),x95344))
% 163.42/163.17 [9539]~P106(f326(f326(f328(f927(x95391,x95391)),f326(f326(f251(x95391,x95391),x95392),x95393)),f153(x95391,x95395)))+~P106(f326(f326(f234(a920),f326(x95394,x95392)),f326(x95394,x95393)))+P106(f326(f326(f328(f927(x95391,x95391)),f326(f326(f251(x95391,x95391),x95392),x95393)),f153(x95391,f326(f326(f151(f928(x95391,a920)),x95394),x95395))))
% 163.42/163.17 [9606]P106(f326(f326(f328(f927(x96064,x96064)),f326(f326(f251(x96064,x96064),x96062),x96063)),f153(x96064,x96065)))+P106(f326(f326(f235(a920),f326(x96061,x96062)),f326(x96061,x96063)))+~P106(f326(f326(f328(f927(x96064,x96064)),f326(f326(f251(x96064,x96064),x96062),x96063)),f153(x96064,f326(f326(f151(f928(x96064,a920)),x96061),x96065))))
% 163.42/163.17 [9757]~P106(f326(f326(f328(f927(f921(x97571),f921(x97571))),f326(f326(f251(f921(x97571),f921(x97571)),x97572),x97574)),f158(x97571,x97575)))+~P106(f326(f326(f235(a920),x97573),f326(f190(f921(x97571)),x97572)))+P106(f326(f326(f328(f927(x97571,x97571)),f326(f326(f251(x97571,x97571),f326(f326(f164(x97571),x97572),x97573)),f326(f326(f164(x97571),x97574),x97573))),x97575))
% 163.42/163.17 [9999]E(x99991,f2(a1))+~P106(f326(f48(x99993,x99991),f326(f326(f251(a1,a1),x99994),x99995)))+P106(f326(f48(f326(f326(f80(a1),x99992),x99993),x99991),f326(f326(f251(a1,a1),f326(f326(f79(a1),f326(f326(f80(a1),x99992),x99994)),f326(f326(f35(a1),f326(f326(f80(a1),x99992),x99995)),x99991))),f44(a1,f326(f326(f80(a1),x99992),x99995),x99991))))
% 163.42/163.17 [10000]~P106(f326(f326(f235(a920),f2(a920)),x100003))+~P106(f326(f47(x100002,x100003),f326(f326(f251(a920,a920),x100004),x100005)))+P106(f326(f47(f326(f326(f80(a920),x100001),x100002),x100003),f326(f326(f251(a920,a920),f326(f326(f79(a920),f326(f326(f80(a920),x100001),x100004)),f326(f326(f35(a920),f326(f326(f80(a920),x100001),x100005)),x100003))),f44(a920,f326(f326(f80(a920),x100001),x100005),x100003))))
% 163.42/163.17 [10315]~P72(x103152)+~P106(f326(f60(x103151),x103154))+E(f326(f326(f8(x103151,x103152),x103153),f326(f261(x103151),f326(f326(f20(x103151,a916,a916),f326(f326(f10(a916,f928(a916,a916),x103151),a324),f326(f326(f9(x103151,f928(x103151,a916),a916),f328(x103151)),x103154))),f326(f326(f9(x103151,f928(x103151,a916),a916),f328(x103151)),x103155)))),f326(f326(f8(x103151,x103152),f326(f326(f9(x103151,x103152,x103152),f326(f326(f20(x103151,x103152,f928(x103152,x103152)),f326(f326(f10(a916,f928(x103152,f928(x103152,x103152)),x103151),f96(x103152)),f326(f326(f9(x103151,f928(x103151,a916),a916),f328(x103151)),x103155))),x103153)),f2(x103152))),x103154))
% 163.42/163.17 [8474]~E(f326(f326(f134(x84741),x84742),x84745),f326(f326(f134(x84741),x84743),x84744))+E(f326(f326(f134(x84741),f326(f326(f138(x84741),f326(f190(f921(x84741)),x84742)),x84743)),x84744),x84745)+P106(f326(f326(f234(a920),f326(f190(f921(x84741)),x84743)),f326(f190(f921(x84741)),x84742)))
% 163.42/163.17 [8669]~E(f326(f326(f134(x86692),x86693),x86691),f326(f326(f134(x86692),x86694),x86695))+E(x86691,f326(f326(f134(x86692),f326(f326(f138(x86692),f326(f190(f921(x86692)),x86693)),x86694)),x86695))+~P106(f326(f326(f234(a920),f326(f190(f921(x86692)),x86693)),f326(f190(f921(x86692)),x86694)))
% 163.42/163.17 [8757]~E(f326(f326(f79(a920),f326(f326(f80(a920),x87573),x87574)),x87571),f326(f326(f79(a920),f326(f326(f80(a920),x87572),x87574)),x87575))+~P106(f326(f326(f234(a920),x87573),x87572))+E(x87571,f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f3(a920),x87572),x87573)),x87574)),x87575))
% 163.42/163.17 [8758]~E(f326(f326(f79(a920),f326(f326(f80(a920),x87581),x87583)),x87584),f326(f326(f79(a920),f326(f326(f80(a920),x87582),x87583)),x87585))+~P106(f326(f326(f234(a920),x87582),x87581))+E(f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f3(a920),x87581),x87582)),x87583)),x87584),x87585)
% 163.42/163.17 [8929]E(f326(f326(f79(a920),f326(f326(f80(a920),x89291),x89292)),x89293),f326(f326(f79(a920),f326(f326(f80(a920),x89294),x89292)),x89295))+~P106(f326(f326(f234(a920),x89294),x89291))+~E(x89295,f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f3(a920),x89291),x89294)),x89292)),x89293))
% 163.42/163.17 [8930]E(f326(f326(f79(a920),f326(f326(f80(a920),x89301),x89302)),x89303),f326(f326(f79(a920),f326(f326(f80(a920),x89304),x89302)),x89305))+~P106(f326(f326(f234(a920),x89304),x89301))+~E(f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f3(a920),x89301),x89304)),x89302)),x89303),x89305)
% 163.42/163.17 [9811]~P65(x98112)+~P106(f326(f60(x98111),x98115))+E(f326(f326(f11(x98111,x98112),f326(f326(f20(x98111,x98112,x98112),f326(f326(f10(x98112,f928(x98112,x98112),x98111),f290(x98112)),x98113)),x98114)),x98115),f326(f326(f290(x98112),f326(f326(f11(x98111,x98112),x98113),x98115)),f326(f326(f11(x98111,x98112),x98114),x98115)))
% 163.42/163.17 [9940]~E(f629(x99405,x99404,x99403,x99402,x99401),f630(x99405,x99404,x99403,x99402,x99401))+P106(f326(f326(f328(f927(x99401,x99401)),f326(f326(f251(x99401,x99401),x99402),x99403)),f306(x99401,x99404)))+~P106(f326(f326(f328(f927(x99401,x99401)),f326(f326(f251(x99401,x99401),x99402),x99403)),f306(x99401,f326(f326(f110(f928(f927(x99401,x99401),a916)),x99404),x99405))))
% 163.42/163.17 [9941]~E(f631(x99415,x99414,x99413,x99412,x99411),f632(x99415,x99414,x99413,x99412,x99411))+P106(f326(f326(f328(f927(x99411,x99411)),f326(f326(f251(x99411,x99411),x99412),x99413)),f306(x99411,x99414)))+~P106(f326(f326(f328(f927(x99411,x99411)),f326(f326(f251(x99411,x99411),x99412),x99413)),f306(x99411,f326(f326(f110(f928(f927(x99411,x99411),a916)),x99414),x99415))))
% 163.42/163.17 [10136]P106(f326(f326(f328(f927(x101361,x101361)),f326(f326(f251(x101361,x101361),x101362),f630(x101365,x101364,x101363,x101362,x101361))),f306(x101361,x101364)))+P106(f326(f326(f328(f927(x101361,x101361)),f326(f326(f251(x101361,x101361),x101362),x101363)),f306(x101361,x101364)))+~P106(f326(f326(f328(f927(x101361,x101361)),f326(f326(f251(x101361,x101361),x101362),x101363)),f306(x101361,f326(f326(f110(f928(f927(x101361,x101361),a916)),x101364),x101365))))
% 163.42/163.17 [10225]P106(f326(f326(f328(f927(x102251,x102251)),f326(f326(f251(x102251,x102251),f632(x102255,x102254,x102253,x102252,x102251)),x102253)),f306(x102251,x102254)))+P106(f326(f326(f328(f927(x102251,x102251)),f326(f326(f251(x102251,x102251),x102252),x102253)),f306(x102251,x102254)))+~P106(f326(f326(f328(f927(x102251,x102251)),f326(f326(f251(x102251,x102251),x102252),x102253)),f306(x102251,f326(f326(f110(f928(f927(x102251,x102251),a916)),x102254),x102255))))
% 163.42/163.17 [10263]P106(f326(f326(f328(f927(x102631,x102631)),f326(f326(f251(x102631,x102631),x102632),x102633)),f306(x102631,x102634)))+P106(f326(f326(f328(f927(x102631,x102631)),f326(f326(f251(x102631,x102631),f630(x102635,x102634,x102633,x102632,x102631)),f629(x102635,x102634,x102633,x102632,x102631))),x102635))+~P106(f326(f326(f328(f927(x102631,x102631)),f326(f326(f251(x102631,x102631),x102632),x102633)),f306(x102631,f326(f326(f110(f928(f927(x102631,x102631),a916)),x102634),x102635))))
% 163.42/163.17 [10264]P106(f326(f326(f328(f927(x102641,x102641)),f326(f326(f251(x102641,x102641),x102642),x102643)),f306(x102641,x102644)))+P106(f326(f326(f328(f927(x102641,x102641)),f326(f326(f251(x102641,x102641),f631(x102645,x102644,x102643,x102642,x102641)),f632(x102645,x102644,x102643,x102642,x102641))),x102645))+~P106(f326(f326(f328(f927(x102641,x102641)),f326(f326(f251(x102641,x102641),x102642),x102643)),f306(x102641,f326(f326(f110(f928(f927(x102641,x102641),a916)),x102644),x102645))))
% 163.42/163.17 [10412]~P106(f326(f326(f328(f927(f921(x104121),f921(x104121))),f326(f326(f251(f921(x104121),f921(x104121)),x104124),x104125)),f158(x104121,x104122)))+~P106(f326(f326(f328(f927(x104121,x104121)),x104123),f326(f172(f927(x104121,x104121)),f326(f326(f181(x104121,x104121),x104124),x104125))))+P106(f326(f326(f256(x104121,x104121,a916),f326(f326(f9(x104121,f928(f927(x104121,x104121),a916),f928(x104121,a916)),f326(f326(f10(f928(x104121,f928(f928(f927(x104121,x104121),a916),a916)),f928(f928(f927(x104121,x104121),a916),f928(x104121,a916)),x104121),f9(x104121,f928(f927(x104121,x104121),a916),a916)),f326(f326(f10(f928(x104121,f927(x104121,x104121)),f928(x104121,f928(f928(f927(x104121,x104121),a916),a916)),x104121),f326(f10(f927(x104121,x104121),f928(f928(f927(x104121,x104121),a916),a916),x104121),f328(f927(x104121,x104121)))),f251(x104121,x104121)))),x104122)),x104123))
% 163.42/163.17 [9840]~P106(f326(f326(f234(a920),x98403),x98402))+~P106(f326(f326(f234(a920),f326(f326(f79(a920),f326(f326(f80(a920),x98403),x98404)),x98401)),f326(f326(f79(a920),f326(f326(f80(a920),x98402),x98404)),x98405)))+P106(f326(f326(f234(a920),x98401),f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f3(a920),x98402),x98403)),x98404)),x98405)))
% 163.42/163.17 [9841]~P106(f326(f326(f234(a920),x98413),x98412))+~P106(f326(f326(f235(a920),f326(f326(f79(a920),f326(f326(f80(a920),x98413),x98414)),x98411)),f326(f326(f79(a920),f326(f326(f80(a920),x98412),x98414)),x98415)))+P106(f326(f326(f235(a920),x98411),f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f3(a920),x98412),x98413)),x98414)),x98415)))
% 163.42/163.17 [9858]~P106(f326(f326(f234(a920),x98581),x98584))+P106(f326(f326(f234(a920),f326(f326(f79(a920),f326(f326(f80(a920),x98581),x98582)),x98583)),f326(f326(f79(a920),f326(f326(f80(a920),x98584),x98582)),x98585)))+~P106(f326(f326(f234(a920),x98583),f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f3(a920),x98584),x98581)),x98582)),x98585)))
% 163.42/163.17 [9859]~P106(f326(f326(f234(a920),x98591),x98594))+P106(f326(f326(f235(a920),f326(f326(f79(a920),f326(f326(f80(a920),x98591),x98592)),x98593)),f326(f326(f79(a920),f326(f326(f80(a920),x98594),x98592)),x98595)))+~P106(f326(f326(f235(a920),x98593),f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f3(a920),x98594),x98591)),x98592)),x98595)))
% 163.42/163.17 [9974]~P106(f326(f326(f234(a920),x99742),x99741))+~P106(f326(f326(f234(a920),f326(f326(f79(a920),f326(f326(f80(a920),x99741),x99743)),x99744)),f326(f326(f79(a920),f326(f326(f80(a920),x99742),x99743)),x99745)))+P106(f326(f326(f234(a920),f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f3(a920),x99741),x99742)),x99743)),x99744)),x99745))
% 163.42/163.17 [9975]~P106(f326(f326(f234(a920),x99752),x99751))+~P106(f326(f326(f235(a920),f326(f326(f79(a920),f326(f326(f80(a920),x99751),x99753)),x99754)),f326(f326(f79(a920),f326(f326(f80(a920),x99752),x99753)),x99755)))+P106(f326(f326(f235(a920),f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f3(a920),x99751),x99752)),x99753)),x99754)),x99755))
% 163.42/163.17 [10018]~P106(f326(f326(f234(a920),x100184),x100181))+P106(f326(f326(f234(a920),f326(f326(f79(a920),f326(f326(f80(a920),x100181),x100182)),x100183)),f326(f326(f79(a920),f326(f326(f80(a920),x100184),x100182)),x100185)))+~P106(f326(f326(f234(a920),f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f3(a920),x100181),x100184)),x100182)),x100183)),x100185))
% 163.42/163.17 [10019]~P106(f326(f326(f234(a920),x100194),x100191))+P106(f326(f326(f235(a920),f326(f326(f79(a920),f326(f326(f80(a920),x100191),x100192)),x100193)),f326(f326(f79(a920),f326(f326(f80(a920),x100194),x100192)),x100195)))+~P106(f326(f326(f235(a920),f326(f326(f79(a920),f326(f326(f80(a920),f326(f326(f3(a920),x100191),x100194)),x100192)),x100193)),x100195))
% 163.42/163.17 [10251]~P12(x102511,x102512,x102515,x102513)+~P106(f326(f326(f328(f927(x102511,x102511)),x102514),x102515))+P106(f326(f326(f256(x102511,x102511,a916),f326(f326(f9(x102511,f928(x102511,x102512),f928(x102511,a916)),f326(f326(f10(f928(x102512,a916),f928(f928(x102511,x102512),f928(x102511,a916)),x102511),f10(x102512,a916,x102511)),f326(f326(f10(x102512,f928(x102512,a916),x102511),a323),x102513))),x102513)),x102514))
% 163.42/163.17 [8633]~P20(x86336,x86331,x86332,x86334)+E(f326(f72(x86331,x86331,x86331,f326(x86332,x86333)),f326(x86334,x86335)),f326(f72(x86331,x86331,x86331,f326(x86334,x86335)),f326(x86332,x86333)))+~P106(f326(f60(x86336),x86335))
% 163.42/163.17 [9073]~P26(x90731,x90733,x90735,x90736)+~P26(x90733,x90732,x90734,f326(f309(x90731,x90733,x90735),x90736))+P26(x90731,x90732,f326(f72(x90733,x90732,x90731,x90734),x90735),x90736)
% 163.42/163.17 [9638]~P106(f326(f326(x96383,x96382),x96386))+~P106(f326(f326(x96384,x96385),x96382))+P106(f326(f326(f328(x96381),x96382),f299(x96381,x96383,x96384,x96385,x96386)))
% 163.42/163.17 [9639]~P106(f326(f326(x96394,x96392),x96396))+~P106(f326(f326(x96393,x96395),x96392))+P106(f326(f326(f328(x96391),x96392),f296(x96391,x96393,x96394,x96395,x96396)))
% 163.42/163.17 [9758]E(x97581,x97582)+E(x97583,x97584)+~P106(f326(f326(f328(f927(f921(x97585),f921(x97585))),f326(f326(f251(f921(x97585),f921(x97585)),f326(f326(f151(x97585),x97583),x97581)),f326(f326(f151(x97585),x97584),x97582))),f157(x97585,x97586)))
% 163.42/163.17 [9767]~E(x97672,x97674)+P106(f326(f326(f328(f927(f921(x97671),f921(x97671))),f326(f326(f251(f921(x97671),f921(x97671)),f326(f326(f151(x97671),x97672),x97673)),f326(f326(f151(x97671),x97674),x97675))),f145(x97671,x97676)))+~P106(f326(f326(f328(f927(f921(x97671),f921(x97671))),f326(f326(f251(f921(x97671),f921(x97671)),x97673),x97675)),f145(x97671,x97676)))
% 163.42/163.17 [9768]~E(x97682,x97684)+P106(f326(f326(f328(f927(f921(x97681),f921(x97681))),f326(f326(f251(f921(x97681),f921(x97681)),f326(f326(f151(x97681),x97682),x97683)),f326(f326(f151(x97681),x97684),x97685))),f147(x97681,x97686)))+~P106(f326(f326(f328(f927(f921(x97681),f921(x97681))),f326(f326(f251(f921(x97681),f921(x97681)),x97683),x97685)),f147(x97681,x97686)))
% 163.42/163.17 [9769]~E(x97692,x97694)+P106(f326(f326(f328(f927(f921(x97691),f921(x97691))),f326(f326(f251(f921(x97691),f921(x97691)),f326(f326(f151(x97691),x97692),x97693)),f326(f326(f151(x97691),x97694),x97695))),f157(x97691,x97696)))+~P106(f326(f326(f328(f927(f921(x97691),f921(x97691))),f326(f326(f251(f921(x97691),f921(x97691)),x97693),x97695)),f157(x97691,x97696)))
% 163.42/163.17 [9770]~E(x97702,x97704)+P106(f326(f326(f328(f927(f921(x97701),f921(x97701))),f326(f326(f251(f921(x97701),f921(x97701)),f326(f326(f134(x97701),x97702),x97703)),f326(f326(f134(x97701),x97704),x97705))),f157(x97701,x97706)))+~P106(f326(f326(f328(f927(f921(x97701),f921(x97701))),f326(f326(f251(f921(x97701),f921(x97701)),x97703),x97705)),f157(x97701,x97706)))
% 163.42/163.17 [9771]~E(x97713,x97715)+P106(f326(f326(f328(f927(f921(x97711),f921(x97711))),f326(f326(f251(f921(x97711),f921(x97711)),f326(f326(f134(x97711),x97712),x97713)),f326(f326(f134(x97711),x97714),x97715))),f157(x97711,x97716)))+~P106(f326(f326(f328(f927(f921(x97711),f921(x97711))),f326(f326(f251(f921(x97711),f921(x97711)),x97712),x97714)),f157(x97711,x97716)))
% 163.42/163.17 [9828]E(x98281,x98282)+P106(f326(f326(f328(f927(f921(x98283),f921(x98283))),f326(f326(f251(f921(x98283),f921(x98283)),x98281),x98282)),f157(x98283,x98284)))+~P106(f326(f326(f328(f927(f921(x98283),f921(x98283))),f326(f326(f251(f921(x98283),f921(x98283)),f326(f326(f151(x98283),x98285),x98281)),f326(f326(f151(x98283),x98286),x98282))),f157(x98283,x98284)))
% 163.42/163.17 [9978]~E(x99783,x99785)+P106(f326(f326(f328(f927(f921(x99781),f921(x99781))),f326(f326(f251(f921(x99781),f921(x99781)),f326(f326(f134(x99781),x99782),f326(f326(f151(x99781),x99783),f113(x99781)))),f326(f326(f134(x99781),x99784),f326(f326(f151(x99781),x99785),f113(x99781))))),f157(x99781,x99786)))+~P106(f326(f326(f328(f927(f921(x99781),f921(x99781))),f326(f326(f251(f921(x99781),f921(x99781)),x99782),x99784)),f157(x99781,x99786)))
% 163.42/163.17 [10022]E(x100221,x100222)+E(x100223,x100224)+~P106(f326(f326(f328(f927(f921(x100225),f921(x100225))),f326(f326(f251(f921(x100225),f921(x100225)),f326(f326(f134(x100225),x100223),f326(f326(f151(x100225),x100221),f113(x100225)))),f326(f326(f134(x100225),x100224),f326(f326(f151(x100225),x100222),f113(x100225))))),f157(x100225,x100226)))
% 163.42/163.17 [10049]E(x100491,x100492)+~P106(f326(f326(f328(f927(f921(x100493),f921(x100493))),f326(f326(f251(f921(x100493),f921(x100493)),f326(f326(f134(x100493),x100491),f326(f326(f151(x100493),x100495),f113(x100493)))),f326(f326(f134(x100493),x100492),f326(f326(f151(x100493),x100496),f113(x100493))))),f157(x100493,x100494)))+P106(f326(f326(f328(f927(f921(x100493),f921(x100493))),f326(f326(f251(f921(x100493),f921(x100493)),x100491),x100492)),f157(x100493,x100494)))
% 163.42/163.17 [10087]~P106(f326(f326(f328(f927(f928(x100871,a916),f928(x100871,a916))),f326(f326(f251(f928(x100871,a916),f928(x100871,a916)),x100872),x100874)),f317(x100871,x100876)))+~P106(f326(f326(f328(f927(f928(x100871,a916),f928(x100871,a916))),f326(f326(f251(f928(x100871,a916),f928(x100871,a916)),x100873),x100875)),f317(x100871,x100876)))+P106(f326(f326(f328(f927(f928(x100871,a916),f928(x100871,a916))),f326(f326(f251(f928(x100871,a916),f928(x100871,a916)),f326(f326(f110(f928(x100871,a916)),x100872),x100873)),f326(f326(f110(f928(x100871,a916)),x100874),x100875))),f317(x100871,x100876)))
% 163.42/163.17 [5864]~E(f326(f326(f134(x58641),x58646),x58643),x58645)+E(f326(f326(f134(x58641),x58642),x58643),f326(f326(f151(x58641),x58644),x58645))+~E(x58642,f326(f326(f151(x58641),x58644),x58646))
% 163.42/163.17 [5865]~E(f326(f326(f134(x58651),x58656),x58653),x58655)+E(f326(f326(f134(x58651),x58652),x58653),f326(f326(f134(x58651),x58654),x58655))+~E(x58652,f326(f326(f134(x58651),x58654),x58656))
% 163.42/163.17 [5867]E(f326(f326(f134(x58671),x58672),x58673),f326(f326(f151(x58671),x58674),x58675))+~E(f326(f326(f151(x58671),x58674),x58676),x58672)+~E(x58675,f326(f326(f134(x58671),x58676),x58673))
% 163.42/163.17 [5869]~E(f326(f326(f134(x58691),x58692),x58696),x58694)+E(f326(f326(f134(x58691),x58692),x58693),f326(f326(f134(x58691),x58694),x58695))+~E(x58693,f326(f326(f134(x58691),x58696),x58695))
% 163.42/163.17 [7022]E(f326(x70221,x70222),f326(x70223,x70222))+~E(f326(f326(f154(x70224,x70225),x70221),x70226),f326(f326(f154(x70224,x70225),x70223),x70226))+~P106(f326(f326(f328(x70224),x70222),f326(f172(x70224),x70226)))
% 163.42/163.17 [7409]~P20(x74094,x74095,x74096,x74091)+E(f326(f326(x74091,x74092),x74093),f326(f326(f63(x74094,x74095,x74096),x74093),x74092))+~P106(f326(f60(x74094),x74092))
% 163.42/163.17 [7480]~E(x74802,f326(x74804,x74806))+~P106(f326(f326(f328(x74803),x74806),x74805))+P106(f326(f326(f328(x74801),x74802),f326(f309(x74803,x74801,x74804),x74805)))
% 163.42/163.17 [7481]~E(f326(x74814,x74812),x74816)+~P106(f326(f326(f328(x74813),x74816),x74815))+P106(f326(f326(f328(x74811),x74812),f326(f310(x74811,x74813,x74814),x74815)))
% 163.42/163.17 [7927]~P34(x79271,x79272,x79274,x79276)+P34(x79271,x79272,f326(f326(f151(x79271),x79273),x79274),f326(f326(f151(x79271),x79275),x79276))+~P106(f326(f326(x79272,x79273),x79275))
% 163.42/163.17 [8939]~P58(x89394,x89395,x89391,x89392,x89396)+E(f326(x89391,f326(x89392,x89393)),x89393)+~P106(f326(f326(f328(x89395),x89393),x89396))
% 163.42/163.17 [9436]~P27(x94362,x94361,x94365,x94364,x94363)+E(f326(f91(x94361,x94362,x94363,f91(x94362,x94361,x94364,x94365)),x94366),f326(x94365,x94366))+~P106(f326(f326(f328(x94362),x94366),x94364))
% 163.42/163.17 [9447]~P26(x94471,x94472,x94473,x94476)+P26(x94471,x94472,f74(x94471,x94472,x94473,x94474,x94475),x94476)+P106(f326(f326(f328(x94472),x94475),f326(f309(x94471,x94472,x94473),x94476)))
% 163.42/163.17 [9760]E(x97601,x97602)+E(f326(f190(f921(x97603)),x97604),f326(f190(f921(x97603)),x97605))+~P106(f326(f326(f328(f927(f921(x97603),f921(x97603))),f326(f326(f251(f921(x97603),f921(x97603)),f326(f326(f151(x97603),x97601),x97604)),f326(f326(f151(x97603),x97602),x97605))),f145(x97603,x97606)))
% 163.42/163.17 [9823]~P17(x98231,x98232,x98233)+E(f326(f326(f63(x98231,x98232,x98233),x98234),x98235),x98236)+~P106(f326(f65(x98231,x98232,x98233,x98234,x98235),x98236))
% 163.42/163.17 [9831]E(f326(f190(f921(x98311)),x98312),f326(f190(f921(x98311)),x98313))+P106(f326(f326(f328(f927(f921(x98311),f921(x98311))),f326(f326(f251(f921(x98311),f921(x98311)),x98312),x98313)),f145(x98311,x98314)))+~P106(f326(f326(f328(f927(f921(x98311),f921(x98311))),f326(f326(f251(f921(x98311),f921(x98311)),f326(f326(f151(x98311),x98315),x98312)),f326(f326(f151(x98311),x98316),x98313))),f145(x98311,x98314)))
% 163.42/163.17 [9852]~P106(f326(f326(f328(f927(x98521,x98521)),f326(f326(f251(x98521,x98521),x98522),x98524)),f306(x98521,x98526)))+P106(f326(f326(f328(f927(f921(x98521),f921(x98521))),f326(f326(f251(f921(x98521),f921(x98521)),f326(f326(f151(x98521),x98522),x98523)),f326(f326(f151(x98521),x98524),x98525))),f306(f921(x98521),f157(x98521,x98526))))+~P106(f326(f326(f328(f927(f921(x98521),f921(x98521))),f326(f326(f251(f921(x98521),f921(x98521)),x98523),x98525)),f306(f921(x98521),f157(x98521,x98526))))
% 163.42/163.17 [10028]~P106(f326(x100282,x100286))+~E(f326(f136(x100281,x100282),x100283),f326(f326(f151(x100281),x100284),x100285))+~P106(f326(f326(f328(x100281),x100286),f326(f172(x100281),f747(x100285,x100284,x100283,x100282,x100281))))
% 163.42/163.17 [10029]~P106(f326(x100294,x100296))+~E(f326(f326(f151(x100291),x100292),x100293),f326(f136(x100291,x100294),x100295))+~P106(f326(f326(f328(x100291),x100296),f326(f172(x100291),f743(x100295,x100294,x100293,x100292,x100291))))
% 163.42/163.17 [10351]~P72(x103512)+E(f326(f326(f8(x103511,x103512),f326(f326(f10(f928(x103513,a916),x103512,x103511),f326(f8(x103513,x103512),x103514)),f326(f326(f10(f928(x103513,a916),f928(x103513,a916),x103511),f261(x103513)),f326(f326(f10(f928(x103513,a916),f928(x103513,a916),x103511),f326(f20(x103513,a916,a916),f326(f326(f10(a916,f928(a916,a916),x103513),a324),f326(f326(f9(x103513,f928(x103513,a916),a916),f328(x103513)),x103515)))),f326(f9(x103513,x103511,a916),f326(f326(f10(x103511,f928(x103511,a916),x103513),a323),x103516)))))),f326(f309(x103513,x103511,x103516),x103515)),f326(f326(f8(x103513,x103512),x103514),x103515))+~P106(f326(f60(x103513),x103515))
% 163.42/163.17 [7080]~P109(x70803)+P106(f326(x70802,x70805))+E(f326(f136(x70801,x70802),f326(f326(f148(x70801,x70803,x70804),x70805),x70806)),f326(f136(x70801,x70802),x70806))
% 163.42/163.17 [7082]P106(f326(x70821,x70822))+~E(f166(x70823,x70821,x70824),f326(f326(f251(f921(x70823),f921(x70823)),x70825),x70826))+~P106(f326(f326(f328(x70823),x70822),f326(f172(x70823),x70825)))
% 163.42/163.17 [7126]~P106(f326(x71262,x71266))+~E(f166(x71261,x71262,x71263),f326(f326(f251(f921(x71261),f921(x71261)),x71264),x71265))+~P106(f326(f326(f328(x71261),x71266),f326(f172(x71261),x71265)))
% 163.42/163.17 [7790]~P15(x77901,x77902,x77903)+~P106(f326(f60(x77901),x77906))+E(f326(f326(f63(x77901,x77902,x77903),x77904),f326(f326(f308(x77901),x77905),x77906)),f326(f326(f63(x77901,x77902,x77903),f326(f326(x77903,x77905),x77904)),x77906))
% 163.42/163.17 [7843]~P109(x78432)+~P106(f326(f326(f234(x78432),f326(x78433,x78434)),f326(x78433,x78435)))+E(f326(f326(f148(x78431,x78432,x78433),x78434),f326(f326(f151(x78431),x78435),x78436)),f326(f326(f151(x78431),x78434),f326(f326(f151(x78431),x78435),x78436)))
% 163.42/163.17 [7955]E(x79551,x79552)+~E(f326(f326(f253(x79553,x79554),x79551),f326(f18(f928(x79554,a916),x79553),x79555)),f326(f326(f253(x79553,x79554),x79552),f326(f18(f928(x79554,a916),x79553),x79555)))+~P106(f326(f326(f328(x79554),x79556),x79555))
% 163.42/163.17 [8020]~P15(x80201,x80202,x80203)+~P106(f326(f60(x80201),x80206))+E(f326(f326(f63(x80201,x80202,x80203),x80204),f326(f326(f308(x80201),x80205),x80206)),f326(f326(x80203,x80205),f326(f326(f63(x80201,x80202,x80203),x80204),x80206)))
% 163.42/163.17 [8138]~P17(x81381,x81382,x81383)+~P106(f326(f60(x81381),x81386))+E(f326(f326(f63(x81381,x81382,x81383),f326(f326(x81383,x81384),x81385)),x81386),f326(f326(x81383,x81384),f326(f326(f63(x81381,x81382,x81383),x81385),x81386)))
% 163.42/163.17 [8207]~P21(x82072,x82075,x82076,x82071)+~P106(f326(f60(x82072),x82074))+E(f326(x82071,f326(f326(f308(x82072),x82073),x82074)),f326(f72(x82075,x82075,x82075,f326(x82071,x82074)),f326(x82076,x82073)))
% 163.42/163.17 [8239]~P109(x82392)+P106(f326(f326(f234(x82392),f326(x82393,x82394)),f326(x82393,x82395)))+E(f326(f326(f148(x82391,x82392,x82393),x82394),f326(f326(f151(x82391),x82395),x82396)),f326(f326(f151(x82391),x82395),f326(f326(f148(x82391,x82392,x82393),x82394),x82396)))
% 163.42/163.17 [8381]~E(f326(f190(f921(x83811)),x83815),f326(f190(f921(x83812)),x83816))+~E(f326(f190(f921(x83811)),x83813),f326(f190(f921(x83812)),x83814))+E(f326(f326(f134(f927(x83811,x83812)),f326(f326(f181(x83811,x83812),x83813),x83814)),f326(f326(f181(x83811,x83812),x83815),x83816)),f326(f326(f181(x83811,x83812),f326(f326(f134(x83811),x83813),x83815)),f326(f326(f134(x83812),x83814),x83816)))
% 163.42/163.17 [8492]~E(x84922,f326(f309(x84923,x84921,x84924),x84926))+P106(f326(f326(f234(f928(x84921,a916)),x84922),f326(f309(x84923,x84921,x84924),x84925)))+~P106(f326(f326(f234(f928(x84923,a916)),x84926),x84925))
% 163.42/163.17 [8593]~P109(x85935)+E(f326(x85931,x85932),f326(x85931,x85933))+E(f326(f326(f148(x85934,x85935,x85931),x85932),f326(f326(f148(x85934,x85935,x85931),x85933),x85936)),f326(f326(f148(x85934,x85935,x85931),x85933),f326(f326(f148(x85934,x85935,x85931),x85932),x85936)))
% 163.42/163.17 [8766]~P106(f326(f326(f328(x87662),x87664),f326(x87666,x87663)))+~P106(f326(f326(f328(x87661),x87663),x87665))+P106(f326(f326(f328(f927(x87661,x87662)),f326(f326(f251(x87661,x87662),x87663),x87664)),f326(f326(f253(x87661,x87662),x87665),x87666)))
% 163.42/163.17 [9243]~P72(x92432)+~P26(x92434,x92431,x92435,x92436)+E(f326(f326(f8(x92431,x92432),x92433),f326(f309(x92434,x92431,x92435),x92436)),f326(f326(f8(x92434,x92432),f326(f72(x92431,x92432,x92434,x92433),x92435)),x92436))
% 163.42/163.17 [9244]~P77(x92442)+~P26(x92444,x92441,x92445,x92446)+E(f326(f326(f11(x92441,x92442),x92443),f326(f309(x92444,x92441,x92445),x92446)),f326(f326(f11(x92444,x92442),f326(f72(x92441,x92442,x92444,x92443),x92445)),x92446))
% 163.42/163.17 [9291]~P36(x92912,x92915,x92911,x92913,x92916)+P106(f326(f326(x92911,f326(f326(f164(x92912),x92913),x92914)),f326(f326(f164(x92915),x92916),x92914)))+~P106(f326(f326(f235(a920),x92914),f326(f190(f921(x92915)),x92916)))
% 163.42/163.17 [9292]~P36(x92922,x92925,x92921,x92923,x92926)+P106(f326(f326(x92921,f326(f326(f164(x92922),x92923),x92924)),f326(f326(f164(x92925),x92926),x92924)))+~P106(f326(f326(f235(a920),x92924),f326(f190(f921(x92922)),x92923)))
% 163.42/163.17 [9303]~E(f326(f309(x93031,x93032,x93033),x93034),x93036)+E(f326(f309(x93031,x93032,x93033),f326(f309(x93032,x93031,f91(x93031,x93032,x93034,x93033)),x93035)),x93035)+~P106(f326(f326(f234(f928(x93032,a916)),x93035),x93036))
% 163.42/163.17 [9506]~P20(x95063,x95061,x95066,x95062)+~P106(f326(f60(x95063),x95064))+E(f326(f72(x95061,x95061,x95061,f326(x95062,f326(f326(f3(f928(x95063,a916)),x95064),f326(f326(f308(x95063),x95065),f189(f928(x95063,a916)))))),f326(x95066,x95065)),f326(x95062,f326(f326(f308(x95063),x95065),x95064)))
% 163.42/163.17 [10116]~E(f326(f309(x101162,x101164,x101166),f241(f928(x101162,a916))),f241(f928(x101164,a916)))+~E(f326(f309(x101161,x101163,x101165),f241(f928(x101161,a916))),f241(f928(x101163,a916)))+E(f326(f309(f927(x101161,x101162),f927(x101163,x101164),f257(x101161,x101163,x101162,x101164,x101165,x101166)),f241(f928(f927(x101161,x101162),a916))),f241(f928(f927(x101163,x101164),a916)))
% 163.42/163.17 [10175]~P26(x101753,x101754,x101755,f326(x101756,f551(x101756,x101755,x101754,x101753,x101752,x101751)))+P26(x101753,x101754,x101755,f326(f326(f38(x101752,f928(x101753,a916)),x101751),x101756))+E(x101751,f189(f928(x101752,a916)))
% 163.42/163.17 [10232]P26(x102326,x102325,x102324,f326(f326(f38(x102322,f928(x102326,a916)),x102321),x102323))+E(x102321,f189(f928(x102322,a916)))+P106(f326(f326(f328(x102322),f551(x102323,x102324,x102325,x102326,x102322,x102321)),x102321))
% 163.42/163.17 [10237]P106(f326(f326(f328(x102371),f603(x102372,x102373,x102374,x102375,x102376,x102371)),x102376))+P106(f326(f326(f234(f928(f927(x102371,x102374),a916)),f326(f326(f253(x102371,x102374),x102376),x102373)),f326(f326(f253(x102371,x102374),x102375),x102372)))+~P106(f326(f326(f234(f928(x102371,a916)),x102376),x102375))
% 163.42/163.17 [10277]P25(x102776,x102775,f326(f326(f308(f919(x102776)),f326(f326(f326(f90(x102776),x102774),x102773),x102772)),f189(f928(f919(x102776),a916))))+~P25(x102776,x102775,f326(f326(f308(f919(x102776)),f326(f326(f326(f90(x102776),x102774),x102773),x102771)),f189(f928(f919(x102776),a916))))+P106(f326(f326(x102771,f552(x102772,x102771,x102773,x102774,x102775,x102776)),f664(x102772,x102771,x102773,x102774,x102775,x102776)))
% 163.42/163.17 [10278]P25(x102786,x102785,f326(f326(f308(f919(x102786)),f326(f326(f326(f90(x102786),x102781),x102783),x102782)),f189(f928(f919(x102786),a916))))+~P25(x102786,x102785,f326(f326(f308(f919(x102786)),f326(f326(f326(f90(x102786),x102784),x102783),x102782)),f189(f928(f919(x102786),a916))))+P106(f326(f326(x102781,f780(x102781,x102782,x102783,x102784,x102785,x102786)),f875(x102781,x102782,x102783,x102784,x102785,x102786)))
% 163.42/163.17 [10320]~P25(x103201,x103202,f326(f326(f308(f919(x103201)),f326(f326(f326(f90(x103201),x103203),x103204),x103206)),f189(f928(f919(x103201),a916))))+P25(x103201,x103202,f326(f326(f308(f919(x103201)),f326(f326(f326(f90(x103201),x103203),x103204),x103205)),f189(f928(f919(x103201),a916))))+~P106(f326(f326(x103205,f552(x103205,x103206,x103204,x103203,x103202,x103201)),f664(x103205,x103206,x103204,x103203,x103202,x103201)))
% 163.42/163.17 [10321]~P25(x103211,x103212,f326(f326(f308(f919(x103211)),f326(f326(f326(f90(x103211),x103216),x103214),x103215)),f189(f928(f919(x103211),a916))))+P25(x103211,x103212,f326(f326(f308(f919(x103211)),f326(f326(f326(f90(x103211),x103213),x103214),x103215)),f189(f928(f919(x103211),a916))))+~P106(f326(f326(x103216,f780(x103213,x103215,x103214,x103216,x103212,x103211)),f875(x103213,x103215,x103214,x103216,x103212,x103211)))
% 163.42/163.17 [10365]~P106(f326(f326(f234(f928(x103652,a916)),f326(x103654,f603(x103656,x103654,x103652,x103655,x103653,x103651))),f326(x103656,f603(x103656,x103654,x103652,x103655,x103653,x103651))))+~P106(f326(f326(f234(f928(x103651,a916)),x103653),x103655))+P106(f326(f326(f234(f928(f927(x103651,x103652),a916)),f326(f326(f253(x103651,x103652),x103653),x103654)),f326(f326(f253(x103651,x103652),x103655),x103656)))
% 163.42/163.17 [7977]~P106(f326(x79771,x79775))+~P106(f326(x79776,x79774))+P106(f326(x79771,f326(f255(x79772,x79773),f326(f326(f251(x79772,x79773),x79774),x79775))))
% 163.42/163.17 [7978]~P106(f326(x79781,x79784))+~P106(f326(x79786,x79785))+P106(f326(x79781,f326(f250(x79782,x79783),f326(f326(f251(x79782,x79783),x79784),x79785))))
% 163.42/163.17 [8025]~P106(f326(f326(x80254,x80256),x80255))+~P106(f326(f326(f328(x80251),x80256),x80253))+P106(f326(f326(f326(f39(x80251,f928(x80252,a916)),x80253),x80254),x80255))
% 163.42/163.17 [8331]~P106(f326(f326(f328(x83311),x83312),f326(x83315,x83316)))+~P106(f326(f326(f328(x83313),x83316),x83314))+P106(f326(f326(f328(x83311),x83312),f326(f326(f39(x83313,f928(x83311,a916)),x83314),x83315)))
% 163.42/163.17 [8375]P106(f326(f326(x83751,x83752),x83753))+~P106(f326(f326(x83754,x83752),x83753))+~P106(f326(f326(f234(f928(x83755,f928(x83756,a916))),x83754),x83751))
% 163.42/163.17 [8515]P106(f326(f326(x85151,x85152),x85153))+~P106(f326(f326(f328(x85154),x85152),x85155))+~P106(f326(f326(f326(f38(x85154,f928(x85156,a916)),x85155),x85151),x85153))
% 163.42/163.17 [8648]P106(f326(f326(f328(x86481),x86482),f326(x86483,x86484)))+~P106(f326(f326(f328(x86485),x86484),x86486))+~P106(f326(f326(f328(x86481),x86482),f326(f326(f38(x86485,f928(x86481,a916)),x86486),x86483)))
% 163.42/163.17 [8918]~P12(x89184,x89185,x89186,x89181)+E(f326(x89181,x89182),f326(x89181,x89183))+~P106(f326(f326(f328(f927(x89184,x89184)),f326(f326(f251(x89184,x89184),x89182),x89183)),x89186))
% 163.42/163.17 [8953]P106(f326(f326(f234(f928(x89531,a916)),x89532),f326(x89533,x89534)))+~P106(f326(f326(f328(x89535),x89534),x89536))+~P106(f326(f326(f234(f928(x89531,a916)),x89532),f326(f326(f38(x89535,f928(x89531,a916)),x89536),x89533)))
% 163.42/163.17 [8986]~P56(x89863,x89864,f326(f285(x89864,x89863),x89865))+E(x89861,f189(f928(x89862,a916)))+E(f326(f326(f38(x89862,f928(x89863,a916)),x89861),f326(f326(f10(f928(x89864,a916),f928(x89863,a916),x89862),f284(x89864,x89863,x89865)),x89866)),f326(f284(x89864,x89863,x89865),f326(f326(f38(x89862,f928(x89864,a916)),x89861),x89866)))
% 163.42/163.17 [9064]P106(f326(f326(f328(x90641),x90642),f326(f284(x90643,x90641,x90644),x90645)))+~P106(f326(f326(f328(x90643),x90646),x90645))+~P106(f326(f326(f328(f927(x90643,x90641)),f326(f326(f251(x90643,x90641),x90646),x90642)),x90644))
% 163.42/163.17 [9368]P106(f326(f326(f234(f928(x93681,a916)),f326(f284(x93682,x93681,x93683),x93684)),f326(f284(x93682,x93681,x93685),x93686)))+~P106(f326(f326(f234(f928(x93682,a916)),x93684),x93686))+~P106(f326(f326(f234(f928(f927(x93682,x93681),a916)),x93683),x93685))
% 163.42/163.17 [9555]~P106(f326(f326(f328(x95552),x95556),x95554))+~P106(f326(f326(f234(f928(x95551,a916)),x95553),x95555))+P106(f326(f326(f234(f928(f927(x95551,x95552),a916)),f326(f326(f253(x95551,x95552),x95553),f326(f18(f928(x95552,a916),x95551),x95554))),f326(f326(f253(x95551,x95552),x95555),f326(f18(f928(x95552,a916),x95551),x95554))))
% 163.42/163.17 [9567]~P36(x95671,x95672,x95673,x95675,x95676)+P106(f326(f326(f256(x95671,x95672,a916),x95673),x95674))+~P106(f326(f326(f328(f927(x95671,x95672)),x95674),f326(f172(f927(x95671,x95672)),f326(f326(f181(x95671,x95672),x95675),x95676))))
% 163.42/163.17 [9714]~E(x97143,x97145)+P106(f326(f326(f328(f927(f921(x97141),f921(x97141))),f326(f326(f251(f921(x97141),f921(x97141)),f326(f326(f151(x97141),x97142),x97143)),f326(f326(f151(x97141),x97144),x97145))),f157(x97141,x97146)))+~P106(f326(f326(f328(f927(x97141,x97141)),f326(f326(f251(x97141,x97141),x97142),x97144)),x97146))
% 163.42/163.17 [9720]~E(f326(f190(f921(x97201)),x97203),f326(f190(f921(x97201)),x97205))+P106(f326(f326(f328(f927(f921(x97201),f921(x97201))),f326(f326(f251(f921(x97201),f921(x97201)),f326(f326(f151(x97201),x97202),x97203)),f326(f326(f151(x97201),x97204),x97205))),f145(x97201,x97206)))+~P106(f326(f326(f328(f927(x97201,x97201)),f326(f326(f251(x97201,x97201),x97202),x97204)),x97206))
% 163.42/163.17 [9752]P106(f326(f326(f328(f927(x97521,x97521)),f326(f326(f251(x97521,x97521),x97522),x97523)),f326(f326(f183(f927(x97521,x97521),a916),f326(a112,x97524)),x97525)))+~P106(f326(f326(f328(f927(x97521,x97521)),f326(f326(f251(x97521,x97521),x97526),x97523)),x97525))+~P106(f326(f326(f328(f927(x97521,x97521)),f326(f326(f251(x97521,x97521),x97522),x97526)),f326(f326(f183(f927(x97521,x97521),a916),x97524),x97525)))
% 163.42/163.17 [9753]P106(f326(f326(f328(f927(x97531,x97531)),f326(f326(f251(x97531,x97531),x97532),x97533)),f326(f326(f183(f927(x97531,x97531),a916),f326(a112,x97534)),x97535)))+~P106(f326(f326(f328(f927(x97531,x97531)),f326(f326(f251(x97531,x97531),x97532),x97536)),x97535))+~P106(f326(f326(f328(f927(x97531,x97531)),f326(f326(f251(x97531,x97531),x97536),x97533)),f326(f326(f183(f927(x97531,x97531),a916),x97534),x97535)))
% 163.42/163.17 [9756]~P106(f326(f326(f328(x97564),x97565),x97566))+P106(f326(f326(f234(f928(x97561,a916)),x97562),x97563))+~P106(f326(f326(f234(f928(f927(x97561,x97564),a916)),f326(f326(f253(x97561,x97564),x97562),f326(f18(f928(x97564,a916),x97561),x97566))),f326(f326(f253(x97561,x97564),x97563),f326(f18(f928(x97564,a916),x97561),x97566))))
% 163.42/163.17 [9801]E(x98011,x98012)+~P106(f326(f326(f328(f927(f921(x98013),f921(x98013))),f326(f326(f251(f921(x98013),f921(x98013)),f326(f326(f151(x98013),x98011),x98015)),f326(f326(f151(x98013),x98012),x98016))),f145(x98013,x98014)))+P106(f326(f326(f328(f927(x98013,x98013)),f326(f326(f251(x98013,x98013),x98011),x98012)),x98014))
% 163.42/163.17 [9802]E(x98021,x98022)+~P106(f326(f326(f328(f927(f921(x98023),f921(x98023))),f326(f326(f251(f921(x98023),f921(x98023)),f326(f326(f151(x98023),x98021),x98025)),f326(f326(f151(x98023),x98022),x98026))),f147(x98023,x98024)))+P106(f326(f326(f328(f927(x98023,x98023)),f326(f326(f251(x98023,x98023),x98021),x98022)),x98024))
% 163.42/163.17 [9803]E(x98031,x98032)+~P106(f326(f326(f328(f927(f921(x98033),f921(x98033))),f326(f326(f251(f921(x98033),f921(x98033)),f326(f326(f151(x98033),x98031),x98035)),f326(f326(f151(x98033),x98032),x98036))),f157(x98033,x98034)))+P106(f326(f326(f328(f927(x98033,x98033)),f326(f326(f251(x98033,x98033),x98031),x98032)),x98034))
% 163.42/163.17 [9839]P106(f326(f326(f328(f927(f921(x98391),f921(x98391))),f326(f326(f251(f921(x98391),f921(x98391)),f326(f326(f151(x98391),x98392),x98393)),f326(f326(f151(x98391),x98394),x98395))),f158(x98391,x98396)))+~P106(f326(f326(f328(f927(f921(x98391),f921(x98391))),f326(f326(f251(f921(x98391),f921(x98391)),x98393),x98395)),f158(x98391,x98396)))+~P106(f326(f326(f328(f927(x98391,x98391)),f326(f326(f251(x98391,x98391),x98392),x98394)),x98396))
% 163.42/163.17 [9856]P106(f326(x98561,x98562))+~P106(f326(x98561,f453(x98561,x98563,x98564,x98565,x98566)))+~P106(f326(f326(f328(x98566),x98562),f326(f326(f39(x98565,f928(x98566,a916)),x98564),x98563)))
% 163.42/163.17 [9861]~P106(f326(f326(f328(f927(f921(x98611),f921(x98611))),f326(f326(f251(f921(x98611),f921(x98611)),f326(f326(f151(x98611),x98612),x98615)),f326(f326(f151(x98611),x98613),x98616))),f145(x98611,x98614)))+P106(f326(f326(f328(f927(f921(x98611),f921(x98611))),f326(f326(f251(f921(x98611),f921(x98611)),x98615),x98616)),f145(x98611,x98614)))+P106(f326(f326(f328(f927(x98611,x98611)),f326(f326(f251(x98611,x98611),x98612),x98613)),x98614))
% 163.42/163.17 [9862]~P106(f326(f326(f328(f927(f921(x98621),f921(x98621))),f326(f326(f251(f921(x98621),f921(x98621)),f326(f326(f151(x98621),x98622),x98625)),f326(f326(f151(x98621),x98623),x98626))),f147(x98621,x98624)))+P106(f326(f326(f328(f927(f921(x98621),f921(x98621))),f326(f326(f251(f921(x98621),f921(x98621)),x98625),x98626)),f147(x98621,x98624)))+P106(f326(f326(f328(f927(x98621,x98621)),f326(f326(f251(x98621,x98621),x98622),x98623)),x98624))
% 163.42/163.17 [9863]~P106(f326(f326(f328(f927(f921(x98631),f921(x98631))),f326(f326(f251(f921(x98631),f921(x98631)),f326(f326(f151(x98631),x98632),x98635)),f326(f326(f151(x98631),x98633),x98636))),f157(x98631,x98634)))+P106(f326(f326(f328(f927(f921(x98631),f921(x98631))),f326(f326(f251(f921(x98631),f921(x98631)),x98635),x98636)),f157(x98631,x98634)))+P106(f326(f326(f328(f927(x98631,x98631)),f326(f326(f251(x98631,x98631),x98632),x98633)),x98634))
% 163.42/163.17 [9951]P106(f326(x99511,x99512))+P106(f326(f326(f328(x99513),f454(x99511,x99514,x99515,x99513,x99516)),x99515))+~P106(f326(f326(f328(x99516),x99512),f326(f326(f39(x99513,f928(x99516,a916)),x99515),x99514)))
% 163.42/163.17 [9962]~E(x99622,x99624)+P106(f326(f326(f328(f927(f921(x99621),f921(x99621))),f326(f326(f251(f921(x99621),f921(x99621)),f326(f326(f134(x99621),x99622),f326(f326(f151(x99621),x99623),f113(x99621)))),f326(f326(f134(x99621),x99624),f326(f326(f151(x99621),x99625),f113(x99621))))),f157(x99621,x99626)))+~P106(f326(f326(f328(f927(x99621,x99621)),f326(f326(f251(x99621,x99621),x99623),x99625)),x99626))
% 163.42/163.17 [10037]E(x100371,x100372)+~P106(f326(f326(f328(f927(f921(x100373),f921(x100373))),f326(f326(f251(f921(x100373),f921(x100373)),f326(f326(f134(x100373),x100375),f326(f326(f151(x100373),x100371),f113(x100373)))),f326(f326(f134(x100373),x100376),f326(f326(f151(x100373),x100372),f113(x100373))))),f157(x100373,x100374)))+P106(f326(f326(f328(f927(x100373,x100373)),f326(f326(f251(x100373,x100373),x100371),x100372)),x100374))
% 163.42/163.17 [10068]~P106(f326(f326(f328(f927(f921(x100681),f921(x100681))),f326(f326(f251(f921(x100681),f921(x100681)),f326(f326(f134(x100681),x100685),f326(f326(f151(x100681),x100682),f113(x100681)))),f326(f326(f134(x100681),x100686),f326(f326(f151(x100681),x100683),f113(x100681))))),f157(x100681,x100684)))+P106(f326(f326(f328(f927(f921(x100681),f921(x100681))),f326(f326(f251(f921(x100681),f921(x100681)),x100685),x100686)),f157(x100681,x100684)))+P106(f326(f326(f328(f927(x100681,x100681)),f326(f326(f251(x100681,x100681),x100682),x100683)),x100684))
% 163.42/163.17 [10088]P106(f326(x100881,x100882))+P106(f326(f326(f328(x100883),f453(x100881,x100884,x100885,x100886,x100883)),f326(x100884,f454(x100881,x100884,x100885,x100886,x100883))))+~P106(f326(f326(f328(x100883),x100882),f326(f326(f39(x100886,f928(x100883,a916)),x100885),x100884)))
% 163.42/163.17 [10241]P106(f326(f326(f328(x102411),f838(x102412,x102413,x102414,x102415,x102416,x102411)),x102415))+~P106(f326(f326(f234(f928(x102411,a916)),x102416),x102415))+P106(f326(f326(f234(f928(x102414,a916)),f326(f326(f38(x102411,f928(x102414,a916)),x102415),x102413)),f326(f326(f38(x102411,f928(x102414,a916)),x102415),x102412)))
% 163.42/163.17 [10366]~P106(f326(f326(f234(f928(x103661,a916)),f326(x103664,f838(x103665,x103664,x103661,x103663,x103666,x103662))),f326(x103665,f838(x103665,x103664,x103661,x103663,x103666,x103662))))+~P106(f326(f326(f234(f928(x103662,a916)),x103666),x103663))+P106(f326(f326(f234(f928(x103661,a916)),f326(f326(f38(x103662,f928(x103661,a916)),x103663),x103664)),f326(f326(f38(x103662,f928(x103661,a916)),x103663),x103665)))
% 163.42/163.17 [9084]~P17(x90843,x90844,x90841)+~P106(f326(f60(x90843),x90846))+E(f326(f326(x90841,x90842),f326(f326(f63(x90843,x90844,x90841),x90845),f326(f326(f3(f928(x90843,a916)),x90846),f326(f326(f308(x90843),x90842),f189(f928(x90843,a916)))))),f326(f326(f63(x90843,x90844,x90841),x90845),f326(f326(f308(x90843),x90842),x90846)))
% 163.42/163.17 [9377]~P106(f326(f326(f328(x93775),x93773),x93776))+P106(f326(f326(f234(f928(x93771,a916)),f326(x93772,x93773)),x93774))+~P106(f326(f326(f234(f928(x93771,a916)),f326(f326(f39(x93775,f928(x93771,a916)),x93776),x93772)),x93774))
% 163.42/163.17 [10011]~P9(x100111,x100115,x100114)+P106(f326(f326(f328(f927(x100111,x100111)),f326(f326(f251(x100111,x100111),x100112),x100113)),x100114))+~P106(f326(f326(f328(x100111),x100116),f326(f326(f101(f928(x100111,a916)),f326(f284(x100111,x100111,x100114),f326(f326(f308(x100111),x100112),f189(f928(x100111,a916))))),f326(f284(x100111,x100111,x100114),f326(f326(f308(x100111),x100113),f189(f928(x100111,a916)))))))
% 163.42/163.17 [8803]~P111(x88032)+~E(f326(f326(f79(x88032),f326(f326(f80(x88032),x88034),x88035)),x88031),f326(f326(f79(x88032),f326(f326(f80(x88032),x88033),x88035)),x88036))+E(x88031,f326(f326(f79(x88032),f326(f326(f80(x88032),f326(f326(f3(x88032),x88033),x88034)),x88035)),x88036))
% 163.42/163.17 [8804]~P111(x88041)+~E(f326(f326(f79(x88041),f326(f326(f80(x88041),x88042),x88044)),x88045),f326(f326(f79(x88041),f326(f326(f80(x88041),x88043),x88044)),x88046))+E(f326(f326(f79(x88041),f326(f326(f80(x88041),f326(f326(f3(x88041),x88042),x88043)),x88044)),x88045),x88046)
% 163.42/163.17 [8989]~P111(x89891)+E(f326(f326(f79(x89891),f326(f326(f80(x89891),x89892),x89893)),x89894),f326(f326(f79(x89891),f326(f326(f80(x89891),x89895),x89893)),x89896))+~E(x89896,f326(f326(f79(x89891),f326(f326(f80(x89891),f326(f326(f3(x89891),x89892),x89895)),x89893)),x89894))
% 163.42/163.17 [8990]~P111(x89901)+E(f326(f326(f79(x89901),f326(f326(f80(x89901),x89902),x89903)),x89904),f326(f326(f79(x89901),f326(f326(f80(x89901),x89905),x89903)),x89906))+~E(f326(f326(f79(x89901),f326(f326(f80(x89901),f326(f326(f3(x89901),x89902),x89905)),x89903)),x89904),x89906)
% 163.42/163.17 [9314]~P106(f326(f326(x93144,x93145),x93146))+~P106(f326(f326(x93143,x93145),x93146))+P106(f326(f326(f326(f326(f101(f928(x93141,f928(x93142,a916))),x93143),x93144),x93145),x93146))
% 163.42/163.17 [9576]P106(f326(f326(x95761,x95762),x95763))+P106(f326(f326(x95764,x95762),x95763))+~P106(f326(f326(f326(f326(f110(f928(x95765,f928(x95766,a916))),x95764),x95761),x95762),x95763))
% 163.42/163.17 [9876]~P112(x98761)+~P106(f326(f326(f234(x98761),f326(f326(f79(x98761),f326(f326(f80(x98761),x98764),x98765)),x98762)),f326(f326(f79(x98761),f326(f326(f80(x98761),x98763),x98765)),x98766)))+P106(f326(f326(f234(x98761),x98762),f326(f326(f79(x98761),f326(f326(f80(x98761),f326(f326(f3(x98761),x98763),x98764)),x98765)),x98766)))
% 163.42/163.17 [9877]~P112(x98771)+~P106(f326(f326(f235(x98771),f326(f326(f79(x98771),f326(f326(f80(x98771),x98774),x98775)),x98772)),f326(f326(f79(x98771),f326(f326(f80(x98771),x98773),x98775)),x98776)))+P106(f326(f326(f235(x98771),x98772),f326(f326(f79(x98771),f326(f326(f80(x98771),f326(f326(f3(x98771),x98773),x98774)),x98775)),x98776)))
% 163.42/163.17 [9900]~P112(x99001)+P106(f326(f326(f234(x99001),f326(f326(f79(x99001),f326(f326(f80(x99001),x99002),x99003)),x99004)),f326(f326(f79(x99001),f326(f326(f80(x99001),x99005),x99003)),x99006)))+~P106(f326(f326(f234(x99001),x99004),f326(f326(f79(x99001),f326(f326(f80(x99001),f326(f326(f3(x99001),x99005),x99002)),x99003)),x99006)))
% 163.42/163.17 [9901]~P112(x99011)+P106(f326(f326(f235(x99011),f326(f326(f79(x99011),f326(f326(f80(x99011),x99012),x99013)),x99014)),f326(f326(f79(x99011),f326(f326(f80(x99011),x99015),x99013)),x99016)))+~P106(f326(f326(f235(x99011),x99014),f326(f326(f79(x99011),f326(f326(f80(x99011),f326(f326(f3(x99011),x99015),x99012)),x99013)),x99016)))
% 163.42/163.17 [10003]~P112(x100031)+~P106(f326(f326(f234(x100031),f326(f326(f79(x100031),f326(f326(f80(x100031),x100032),x100034)),x100035)),f326(f326(f79(x100031),f326(f326(f80(x100031),x100033),x100034)),x100036)))+P106(f326(f326(f234(x100031),f326(f326(f79(x100031),f326(f326(f80(x100031),f326(f326(f3(x100031),x100032),x100033)),x100034)),x100035)),x100036))
% 163.42/163.17 [10004]~P112(x100041)+~P106(f326(f326(f235(x100041),f326(f326(f79(x100041),f326(f326(f80(x100041),x100042),x100044)),x100045)),f326(f326(f79(x100041),f326(f326(f80(x100041),x100043),x100044)),x100046)))+P106(f326(f326(f235(x100041),f326(f326(f79(x100041),f326(f326(f80(x100041),f326(f326(f3(x100041),x100042),x100043)),x100044)),x100045)),x100046))
% 163.42/163.17 [10051]~P112(x100511)+P106(f326(f326(f234(x100511),f326(f326(f79(x100511),f326(f326(f80(x100511),x100512),x100513)),x100514)),f326(f326(f79(x100511),f326(f326(f80(x100511),x100515),x100513)),x100516)))+~P106(f326(f326(f234(x100511),f326(f326(f79(x100511),f326(f326(f80(x100511),f326(f326(f3(x100511),x100512),x100515)),x100513)),x100514)),x100516))
% 163.42/163.17 [10052]~P112(x100521)+P106(f326(f326(f235(x100521),f326(f326(f79(x100521),f326(f326(f80(x100521),x100522),x100523)),x100524)),f326(f326(f79(x100521),f326(f326(f80(x100521),x100525),x100523)),x100526)))+~P106(f326(f326(f235(x100521),f326(f326(f79(x100521),f326(f326(f80(x100521),f326(f326(f3(x100521),x100522),x100525)),x100523)),x100524)),x100526))
% 163.42/163.17 [10226]~P72(x102262)+~P106(f326(f60(x102261),x102266))+E(f326(f326(f8(x102261,x102262),f326(f326(f20(x102261,x102262,x102262),f326(f326(f20(x102261,x102262,f928(x102262,x102262)),f326(f326(f10(a916,f928(x102262,f928(x102262,x102262)),x102261),f96(x102262)),x102263)),x102264)),x102265)),x102266),f326(f326(f79(x102262),f326(f326(f8(x102261,x102262),x102264),f326(f326(f101(f928(x102261,a916)),x102266),f326(f261(x102261),x102263)))),f326(f326(f8(x102261,x102262),x102265),f326(f326(f101(f928(x102261,a916)),x102266),f326(f78(f928(x102261,a916)),f326(f261(x102261),x102263))))))
% 163.42/163.17 [10288]P106(f326(f326(f328(x102882),x102884),x102886))+P106(f326(f326(f328(x102882),x102885),x102886))+E(f326(f310(x102881,x102882,f326(f326(f9(x102881,x102882,x102882),f326(f326(f9(x102881,x102882,f928(x102882,x102882)),f326(f326(f10(a916,f928(x102882,f928(x102882,x102882)),x102881),f96(x102882)),f326(f326(f9(x102881,f928(x102881,a916),a916),f328(x102881)),x102883))),x102884)),x102885)),x102886),f189(f928(x102881,a916)))
% 163.42/163.17 [10289]P106(f326(f326(f328(x102892),x102895),x102896))+~P106(f326(f326(f328(x102892),x102894),x102896))+E(f326(f310(x102891,x102892,f326(f326(f9(x102891,x102892,x102892),f326(f326(f9(x102891,x102892,f928(x102892,x102892)),f326(f326(f10(a916,f928(x102892,f928(x102892,x102892)),x102891),f96(x102892)),f326(f326(f9(x102891,f928(x102891,a916),a916),f328(x102891)),x102893))),x102894)),x102895)),x102896),x102893)
% 163.42/163.17 [10290]P106(f326(f326(f328(x102902),x102904),x102906))+~P106(f326(f326(f328(x102902),x102905),x102906))+E(f326(f310(x102901,x102902,f326(f326(f9(x102901,x102902,x102902),f326(f326(f9(x102901,x102902,f928(x102902,x102902)),f326(f326(f10(a916,f928(x102902,f928(x102902,x102902)),x102901),f96(x102902)),f326(f326(f9(x102901,f928(x102901,a916),a916),f328(x102901)),x102903))),x102904)),x102905)),x102906),f326(f78(f928(x102901,a916)),x102903))
% 163.42/163.17 [10291]~P106(f326(f326(f328(x102912),x102914),x102916))+~P106(f326(f326(f328(x102912),x102915),x102916))+E(f326(f310(x102911,x102912,f326(f326(f9(x102911,x102912,x102912),f326(f326(f9(x102911,x102912,f928(x102912,x102912)),f326(f326(f10(a916,f928(x102912,f928(x102912,x102912)),x102911),f96(x102912)),f326(f326(f9(x102911,f928(x102911,a916),a916),f328(x102911)),x102913))),x102914)),x102915)),x102916),f241(f928(x102911,a916)))
% 163.42/163.17 [8838]E(x88381,x88382)+~P58(x88384,x88385,x88383,x88386,x88387)+~E(f326(x88383,x88381),f326(x88383,x88382))
% 163.42/163.17 [8867]~P11(x88676,x88675,x88677,x88674,x88671)+E(f326(f326(x88671,x88672),x88673),x88674)+P106(f326(f60(x88675),x88673))
% 163.42/163.17 [9743]P44(x97431,x97432,x97433,x97434,x97435,f326(f326(x97433,x97436),x97437))+~E(f326(f326(x97433,x97436),x97437),x97434)+~E(x97435,f189(f928(x97431,a916)))
% 163.42/163.17 [9922]~P106(f326(x99226,x99223))+~P106(f326(f326(f328(f927(x99222,x99222)),f326(f326(f251(x99222,x99222),x99224),x99225)),f326(x99227,x99223)))+P106(f326(f326(f328(f927(f927(x99221,x99222),f927(x99221,x99222))),f326(f326(f251(f927(x99221,x99222),f927(x99221,x99222)),f326(f326(f251(x99221,x99222),x99223),x99224)),f326(f326(f251(x99221,x99222),x99223),x99225))),f279(x99221,x99222,x99226,x99227)))
% 163.42/163.17 [10354]~P44(x103542,x103547,x103543,x103546,x103541,f326(f326(x103543,x103545),x103544))+E(f326(f326(x103543,f781(x103544,x103545,x103541,x103546,x103543,x103547,x103542)),f789(x103544,x103545,x103541,x103546,x103543,x103547,x103542)),f326(f326(x103543,x103545),x103544))+E(x103541,f189(f928(x103542,a916)))
% 163.42/163.17 [10355]~P44(x103557,x103556,x103551,x103554,x103555,f326(f326(x103551,x103552),x103553))+E(f326(f326(x103551,f781(x103553,x103552,x103555,x103554,x103551,x103556,x103557)),f789(x103553,x103552,x103555,x103554,x103551,x103556,x103557)),f326(f326(x103551,x103552),x103553))+E(f326(f326(x103551,x103552),x103553),x103554)
% 163.42/163.17 [9410]~P36(x94101,x94102,x94103,x94105,x94107)+P36(x94101,x94102,x94103,f326(f326(f151(x94101),x94104),x94105),f326(f326(f151(x94102),x94106),x94107))+~P106(f326(f326(x94103,x94104),x94106))
% 163.42/163.17 [9429]P36(x94291,x94292,x94293,x94294,x94295)+~P36(x94291,x94292,x94293,f326(f326(f134(x94291),x94296),x94294),f326(f326(f134(x94292),x94297),x94295))+~E(f326(f190(f921(x94291)),x94296),f326(f190(f921(x94292)),x94297))
% 163.42/163.17 [9430]P36(x94301,x94302,x94303,x94304,x94305)+~P36(x94301,x94302,x94303,f326(f326(f134(x94301),x94304),x94306),f326(f326(f134(x94302),x94305),x94307))+~E(f326(f190(f921(x94301)),x94304),f326(f190(f921(x94302)),x94305))
% 163.42/163.17 [9643]~P36(x96431,x96432,x96433,x96435,x96437)+~P36(x96431,x96432,x96433,x96434,x96436)+P36(x96431,x96432,x96433,f326(f326(f134(x96431),x96434),x96435),f326(f326(f134(x96432),x96436),x96437))
% 163.42/163.17 [9996]~P106(f326(f65(x99961,x99964,x99965,x99966,x99963),x99967))+P106(f326(f65(x99961,x99964,x99965,x99966,f326(f326(f308(x99961),x99962),x99963)),f326(f326(x99965,x99962),x99967)))+P106(f326(f326(f328(x99961),x99962),x99963))
% 163.42/163.17 [10382]~P44(x103822,x103827,x103826,x103825,x103821,f326(f326(x103826,x103824),x103823))+E(x103821,f189(f928(x103822,a916)))+P106(f326(f326(f328(x103822),f781(x103823,x103824,x103821,x103825,x103826,x103827,x103822)),x103821))
% 163.42/163.17 [10383]~P44(x103835,x103837,x103831,x103834,x103836,f326(f326(x103831,x103832),x103833))+E(f326(f326(x103831,x103832),x103833),x103834)+P106(f326(f326(f328(x103835),f781(x103833,x103832,x103836,x103834,x103831,x103837,x103835)),x103836))
% 163.42/163.17 [10474]E(f326(f326(f251(x104741,x104742),x104743),x104744),f326(f326(f251(x104741,x104742),x104745),x104746))+P106(f326(f326(f328(f927(f927(x104741,x104742),f927(x104741,x104742))),f326(f326(f251(f927(x104741,x104742),f927(x104741,x104742)),f326(f326(f251(x104741,x104742),f848(x104747,x104744,x104743,x104746,x104745,x104742,x104741)),f849(x104747,x104744,x104743,x104746,x104745,x104742,x104741))),f326(f326(f251(x104741,x104742),x104743),x104744))),f306(f927(x104741,x104742),x104747)))+~P106(f326(f326(f328(f927(f927(x104741,x104742),f927(x104741,x104742))),f326(f326(f251(f927(x104741,x104742),f927(x104741,x104742)),f326(f326(f251(x104741,x104742),x104745),x104746)),f326(f326(f251(x104741,x104742),x104743),x104744))),f306(f927(x104741,x104742),x104747)))
% 163.42/163.17 [9109]~P22(x91094,x91095,x91096,x91097,x91091)+~P106(f326(f60(x91095),x91093))+E(f326(f326(x91091,x91092),x91093),f326(f326(f326(f64(x91094,x91095,x91096),x91092),x91097),x91093))
% 163.42/163.17 [9110]~P11(x91104,x91105,x91106,x91107,x91101)+~P106(f326(f60(x91105),x91103))+E(f326(f326(x91101,x91102),x91103),f326(f326(f326(f64(x91104,x91105,x91106),x91102),x91107),x91103))
% 163.42/163.17 [9707]~P25(x97071,x97072,f326(f326(f308(f919(x97071)),f326(f326(f326(f90(x97071),x97073),x97074),x97077)),f189(f928(f919(x97071),a916))))+P25(x97071,x97072,f326(f326(f308(f919(x97071)),f326(f326(f326(f90(x97071),x97073),f30(x97074,x97075)),x97076)),f189(f928(f919(x97071),a916))))+~P25(x97071,x97072,f326(f326(f308(f919(x97071)),f326(f326(f326(f90(x97071),x97077),x97075),x97076)),f189(f928(f919(x97071),a916))))
% 163.42/163.17 [9895]~P24(x98953,x98954,x98955,x98957,x98956,x98951)+~P106(f326(f60(x98954),x98952))+E(f326(x98951,x98952),f326(f326(f326(f64(x98953,x98954,x98955),x98956),x98957),x98952))
% 163.42/163.17 [10046]P44(x100461,x100462,x100463,x100464,x100465,f326(f326(x100463,x100466),x100467))+~P44(x100461,x100462,x100463,x100464,f326(f326(f3(f928(x100461,a916)),x100465),f326(f326(f308(x100461),x100466),f189(f928(x100461,a916)))),x100467)+~P106(f326(f326(f328(x100461),x100466),x100465))
% 163.42/163.17 [10322]~P25(x103221,x103222,f326(f326(f308(f919(x103221)),f326(f326(f326(f90(x103221),f92(x103221,x103223,x103224)),x103225),x103227)),f189(f928(f919(x103221),a916))))+P25(x103221,x103222,f326(f326(f308(f919(x103221)),f326(f326(f326(f90(x103221),x103223),f27(x103224,x103225,x103226)),x103227)),f189(f928(f919(x103221),a916))))+~P25(x103221,x103222,f326(f326(f308(f919(x103221)),f326(f326(f326(f90(x103221),f92(x103221,x103223,f326(f72(a916,a916,a918,a321),x103224))),x103226),x103227)),f189(f928(f919(x103221),a916))))
% 163.42/163.17 [10407]P106(f326(f326(x104077,f790(x104074,x104075,x104071,x104076,x104073,x104072,x104077)),f791(x104074,x104075,x104071,x104076,x104073,x104072,x104077)))+~P106(f326(f326(x104077,f326(f255(x104072,x104073),x104076)),f326(f250(x104072,x104073),x104076)))+P106(f326(x104071,f326(f326(f256(x104072,x104073,x104074),x104075),x104076)))
% 163.42/163.17 [10408]P25(x104087,x104086,f326(f326(f308(f919(x104087)),f326(f326(f326(f90(x104087),x104081),x104084),x104082)),f189(f928(f919(x104087),a916))))+~P25(x104087,x104086,f326(f326(f308(f919(x104087)),f326(f326(f326(f90(x104087),x104085),x104084),x104083)),f189(f928(f919(x104087),a916))))+P106(f326(f326(x104081,f888(x104082,x104081,x104083,x104084,x104085,x104086,x104087)),f895(x104082,x104081,x104083,x104084,x104085,x104086,x104087)))
% 163.42/163.17 [10418]~P44(x104182,x104183,x104184,x104185,x104181,f326(f326(x104184,x104187),x104186))+P44(x104182,x104183,x104184,x104185,f326(f326(f3(f928(x104182,a916)),x104181),f326(f326(f308(x104182),f781(x104186,x104187,x104181,x104185,x104184,x104183,x104182)),f189(f928(x104182,a916)))),f789(x104186,x104187,x104181,x104185,x104184,x104183,x104182))+E(x104181,f189(f928(x104182,a916)))
% 163.42/163.17 [10419]~P44(x104195,x104196,x104191,x104194,x104197,f326(f326(x104191,x104192),x104193))+P44(x104195,x104196,x104191,x104194,f326(f326(f3(f928(x104195,a916)),x104197),f326(f326(f308(x104195),f781(x104193,x104192,x104197,x104194,x104191,x104196,x104195)),f189(f928(x104195,a916)))),f789(x104193,x104192,x104197,x104194,x104191,x104196,x104195))+E(f326(f326(x104191,x104192),x104193),x104194)
% 163.42/163.17 [10420]~P25(x104201,x104202,f326(f326(f308(f919(x104201)),f326(f326(f326(f90(x104201),x104207),x104204),x104206)),f189(f928(f919(x104201),a916))))+P25(x104201,x104202,f326(f326(f308(f919(x104201)),f326(f326(f326(f90(x104201),x104203),x104204),x104205)),f189(f928(f919(x104201),a916))))+~P106(f326(f326(x104205,f888(x104205,x104203,x104206,x104204,x104207,x104202,x104201)),f905(x104205,x104203,x104206,x104204,x104207,x104202,x104201)))
% 163.42/163.17 [10441]~P106(f326(x104411,f326(f326(x104415,f791(x104414,x104415,x104411,x104416,x104413,x104412,x104417)),f790(x104414,x104415,x104411,x104416,x104413,x104412,x104417))))+~P106(f326(f326(x104417,f326(f255(x104412,x104413),x104416)),f326(f250(x104412,x104413),x104416)))+P106(f326(x104411,f326(f326(f256(x104412,x104413,x104414),x104415),x104416)))
% 163.42/163.17 [9728]P106(f326(f326(f234(f928(f927(x97281,x97282),a916)),f326(f326(f288(x97281,x97283,x97282),x97284),x97285)),f326(f326(f288(x97281,x97283,x97282),x97286),x97287)))+~P106(f326(f326(f234(f928(f927(x97283,x97282),a916)),x97285),x97287))+~P106(f326(f326(f234(f928(f927(x97281,x97283),a916)),x97284),x97286))
% 163.42/163.17 [10468]E(f326(f326(f251(x104681,x104682),x104683),x104684),f326(f326(f251(x104681,x104682),x104685),x104686))+~P106(f326(f326(f328(f927(f927(x104681,x104682),f927(x104681,x104682))),f326(f326(f251(f927(x104681,x104682),f927(x104681,x104682)),f326(f326(f251(x104681,x104682),x104683),x104684)),f326(f326(f251(x104681,x104682),x104685),x104686))),f306(f927(x104681,x104682),x104687)))+P106(f326(f326(f328(f927(f927(x104681,x104682),f927(x104681,x104682))),f326(f326(f251(f927(x104681,x104682),f927(x104681,x104682)),f326(f326(f251(x104681,x104682),x104683),x104684)),f326(f326(f251(x104681,x104682),f848(x104687,x104686,x104685,x104684,x104683,x104682,x104681)),f849(x104687,x104686,x104685,x104684,x104683,x104682,x104681)))),x104687))
% 163.42/163.17 [10057]~P106(f326(f326(f328(x100571),x100576),x100575))+P106(f326(f65(x100571,x100572,x100573,x100574,x100575),f326(f326(x100573,x100576),x100577)))+~P106(f326(f65(x100571,x100572,x100573,x100574,f326(f326(f3(f928(x100571,a916)),x100575),f326(f326(f308(x100571),x100576),f189(f928(x100571,a916))))),x100577))
% 163.42/163.17 [10481]~P147(x104811)+~P26(f927(x104812,x104813),x104811,f326(f256(x104812,x104813,x104811),f326(f326(f9(x104812,f928(x104813,x104811),f928(x104813,x104811)),f326(f326(f10(f928(x104811,x104811),f928(f928(x104813,x104811),f928(x104813,x104811)),x104812),f10(x104811,x104811,x104813)),f326(f326(f10(x104811,f928(x104811,x104811),x104812),f80(x104811)),x104814))),x104815)),f326(f326(f253(x104812,x104813),x104816),f326(f18(f928(x104813,a916),x104812),x104817)))+E(f326(f326(f8(x104811,x104811),f31(x104811)),f326(f261(x104811),f326(f326(f10(f928(x104812,a916),a916,x104811),f86(x104812)),f326(f326(f10(f928(x104812,f928(x104813,a916)),f928(x104812,a916),x104811),f326(f10(f928(x104813,a916),a916,x104812),f86(x104813))),f326(f326(f9(x104811,f928(x104812,f928(x104813,a916)),f928(x104812,f928(x104813,a916))),f326(f326(f10(f928(x104812,f928(f928(x104813,a916),f928(x104813,a916))),f928(f928(x104812,f928(x104813,a916)),f928(x104812,f928(x104813,a916))),x104811),f20(x104812,f928(x104813,a916),f928(x104813,a916))),f326(f326(f10(f928(x104812,f928(x104813,f928(a916,a916))),f928(x104812,f928(f928(x104813,a916),f928(x104813,a916))),x104811),f326(f10(f928(x104813,f928(a916,a916)),f928(f928(x104813,a916),f928(x104813,a916)),x104812),f20(x104813,a916,a916))),f326(f326(f10(f928(x104812,f928(x104813,a916)),f928(x104812,f928(x104813,f928(a916,a916))),x104811),f326(f10(f928(x104813,a916),f928(x104813,f928(a916,a916)),x104812),f326(f10(a916,f928(a916,a916),x104813),a324))),f326(f326(f9(x104811,f928(x104812,f928(x104813,x104811)),f928(x104812,f928(x104813,a916))),f326(f326(f10(f928(f928(x104813,x104811),f928(x104813,a916)),f928(f928(x104812,f928(x104813,x104811)),f928(x104812,f928(x104813,a916))),x104811),f10(f928(x104813,x104811),f928(x104813,a916),x104812)),f326(f326(f10(f928(x104811,a916),f928(f928(x104813,x104811),f928(x104813,a916)),x104811),f10(x104811,a916,x104813)),a323))),f326(f326(f9(x104812,f928(x104813,x104811),f928(x104813,x104811)),f326(f326(f10(f928(x104811,x104811),f928(f928(x104813,x104811),f928(x104813,x104811)),x104812),f10(x104811,x104811,x104813)),f326(f326(f10(x104811,f928(x104811,x104811),x104812),f80(x104811)),x104814))),x104815)))))),f326(f326(f9(x104812,f928(x104813,a916),f928(x104813,a916)),f326(f326(f10(f928(a916,a916),f928(f928(x104813,a916),f928(x104813,a916)),x104812),f10(a916,a916,x104813)),f326(f326(f10(a916,f928(a916,a916),x104812),a324),f326(f326(f9(x104812,f928(x104812,a916),a916),f328(x104812)),x104816)))),f326(f326(f9(x104813,f928(x104813,a916),a916),f328(x104813)),x104817))))))),f326(f326(f80(x104811),f326(f326(f8(x104812,x104811),x104814),x104816)),f326(f326(f8(x104813,x104811),x104815),x104817)))
% 163.42/163.17 [9732]~P27(x97321,x97323,x97325,x97326,x97328)+~P27(x97323,x97322,x97324,x97328,x97327)+P27(x97321,x97322,f326(f72(x97323,x97322,x97321,x97324),x97325),x97326,x97327)
% 163.42/163.17 [9761]P27(x97611,x97612,x97613,x97614,x97615)+~P27(x97616,x97611,x97617,x97618,x97614)+~P27(x97616,x97612,f326(f72(x97611,x97612,x97616,x97613),x97617),x97618,x97615)
% 163.42/163.17 [9893]~P106(f326(f326(x98934,x98936),x98938))+~P106(f326(f326(x98935,x98938),x98937))+P106(f326(f326(f252(x98931,x98932,x98933,x98934,x98935),x98936),x98937))
% 163.42/163.17 [9483]~P20(x94838,x94831,x94833,x94835)+~P106(f326(f60(x94838),x94836))+E(f326(f72(x94831,x94831,x94832,f326(x94833,x94834)),f326(f72(x94831,x94831,x94832,f326(x94835,x94836)),x94837)),f326(f72(x94831,x94831,x94832,f326(x94835,x94836)),f326(f72(x94831,x94831,x94832,f326(x94833,x94834)),x94837)))
% 163.42/163.17 [9883]~P23(x98837,x98832,x98835,x98838,x98836,x98831)+~P106(f326(f60(x98832),x98834))+E(f326(x98831,f326(f326(f308(x98832),x98833),x98834)),f326(f326(x98835,f326(x98836,x98833)),f326(x98831,x98834)))
% 163.42/163.17 [10001]~P26(x100012,x100014,x100016,x100018)+~P26(x100011,x100013,x100015,x100017)+P26(f927(x100011,x100012),f927(x100013,x100014),f257(x100011,x100013,x100012,x100014,x100015,x100016),f326(f326(f253(x100011,x100012),x100017),f326(f18(f928(x100012,a916),x100011),x100018)))
% 163.42/163.17 [9669]P106(f326(f326(f328(f927(x96691,x96692)),f326(f326(f251(x96691,x96692),x96693),x96694)),f326(f326(f288(x96691,x96695,x96692),x96696),x96697)))+~P106(f326(f326(f328(f927(x96691,x96695)),f326(f326(f251(x96691,x96695),x96693),x96698)),x96696))+~P106(f326(f326(f328(f927(x96695,x96692)),f326(f326(f251(x96695,x96692),x96698),x96694)),x96697))
% 163.42/163.17 [9864]~P106(f326(f326(f234(f928(f927(x98643,x98642),a916)),x98645),f326(f326(f253(x98643,x98642),x98648),f326(f18(f928(x98642,a916),x98643),x98647))))+~P106(f326(f326(f234(f928(f927(x98641,x98643),a916)),x98644),f326(f326(f253(x98641,x98643),x98646),f326(f18(f928(x98643,a916),x98641),x98648))))+P106(f326(f326(f234(f928(f927(x98641,x98642),a916)),f326(f326(f288(x98641,x98643,x98642),x98644),x98645)),f326(f326(f253(x98641,x98642),x98646),f326(f18(f928(x98642,a916),x98641),x98647))))
% 163.42/163.17 [9917]~E(x99173,x99175)+P106(f326(f326(f328(f927(f927(x99171,x99172),f927(x99171,x99172))),f326(f326(f251(f927(x99171,x99172),f927(x99171,x99172)),f326(f326(f251(x99171,x99172),x99173),x99174)),f326(f326(f251(x99171,x99172),x99175),x99176))),f318(x99171,x99172,x99177,x99178)))+~P106(f326(f326(f328(f927(x99172,x99172)),f326(f326(f251(x99172,x99172),x99174),x99176)),x99178))
% 163.42/163.17 [10020]E(x100201,x100202)+~P106(f326(f326(f328(f927(f927(x100203,x100205),f927(x100203,x100205))),f326(f326(f251(f927(x100203,x100205),f927(x100203,x100205)),f326(f326(f251(x100203,x100205),x100201),x100206)),f326(f326(f251(x100203,x100205),x100202),x100207))),f318(x100203,x100205,x100204,x100208)))+P106(f326(f326(f328(f927(x100203,x100203)),f326(f326(f251(x100203,x100203),x100201),x100202)),x100204))
% 163.42/163.17 [10036]~P106(f326(f326(f328(f927(f927(x100361,x100365),f927(x100361,x100365))),f326(f326(f251(f927(x100361,x100365),f927(x100361,x100365)),f326(f326(f251(x100361,x100365),x100362),x100366)),f326(f326(f251(x100361,x100365),x100363),x100367))),f318(x100361,x100365,x100364,x100368)))+P106(f326(f326(f328(f927(x100361,x100361)),f326(f326(f251(x100361,x100361),x100362),x100363)),x100364))+P106(f326(f326(f328(f927(x100365,x100365)),f326(f326(f251(x100365,x100365),x100366),x100367)),x100368))
% 163.42/163.17 [9952]~P24(x99527,x99525,x99521,x99528,x99522,x99524)+~P106(f326(f60(x99525),x99526))+E(f326(f326(x99521,f326(x99522,x99523)),f326(x99524,f326(f326(f3(f928(x99525,a916)),x99526),f326(f326(f308(x99525),x99523),f189(f928(x99525,a916)))))),f326(x99524,f326(f326(f308(x99525),x99523),x99526)))
% 163.42/163.17 [9435]~P106(f326(f326(f326(x94355,x94358),x94356),x94357))+~P106(f326(f326(f328(x94351),x94358),x94354))+P106(f326(f326(f326(f326(f39(x94351,f928(x94352,f928(x94353,a916))),x94354),x94355),x94356),x94357))
% 163.42/163.17 [9654]P106(f326(f326(f326(x96541,x96542),x96543),x96544))+~P106(f326(f326(f328(x96545),x96542),x96546))+~P106(f326(f326(f326(f326(f38(x96545,f928(x96547,f928(x96548,a916))),x96546),x96541),x96543),x96544))
% 163.42/163.17 [9857]~P22(x98573,x98572,x98574,x98578,x98571)+~P106(f326(f60(x98572),x98577))+E(f326(f326(x98571,f326(f326(f20(x98572,x98573,x98573),f326(f326(f10(x98573,f928(x98573,x98573),x98572),x98574),x98575)),x98576)),x98577),f326(f326(x98574,f326(f326(x98571,x98575),x98577)),f326(f326(x98571,x98576),x98577)))
% 163.42/163.17 [10122]~E(f326(f309(x101222,x101224,x101226),x101228),x1012210)+~E(f326(f309(x101221,x101223,x101225),x101227),x101229)+E(f326(f309(f927(x101221,x101222),f927(x101223,x101224),f257(x101221,x101223,x101222,x101224,x101225,x101226)),f326(f326(f253(x101221,x101222),x101227),f326(f18(f928(x101222,a916),x101221),x101228))),f326(f326(f253(x101223,x101224),x101229),f326(f18(f928(x101224,a916),x101223),x1012210)))
% 163.42/163.17 [5073]~P45(x50731,x50732)+~P51(x50731,x50732)+~P52(x50731,x50732)+P8(x50731,x50732)
% 163.42/163.17 [5029]~P109(x50292)+~P14(x50292,x50291)+P14(x50292,f114(x50292,x50291))+E(x50291,f113(x50292))
% 163.42/163.17 [5030]~P109(x50302)+~P14(x50302,x50301)+P14(x50302,f708(x50301,x50302))+E(x50301,f113(x50302))
% 163.42/163.17 [5272]~P6(x52722)+E(f12(x52722,x52721),f36(x52722,x52721))+E(x52721,f189(f928(x52722,a916)))+~P106(f326(f60(x52722),x52721))
% 163.42/163.17 [5273]~P6(x52732)+E(f13(x52732,x52731),f37(x52732,x52731))+E(x52731,f189(f928(x52732,a916)))+~P106(f326(f60(x52732),x52731))
% 163.42/163.17 [5431]~P109(x54312)+~P14(x54312,x54311)+E(x54311,f113(x54312))+E(f326(f326(f151(x54312),f728(x54311,x54312)),f708(x54311,x54312)),x54311)
% 163.42/163.17 [6248]~P2(x62482)+E(x62481,f189(f928(x62482,a916)))+P106(f326(f326(f234(x62482),f13(x62482,x62481)),f12(x62482,x62481)))+~P106(f326(f60(x62482),x62481))
% 163.42/163.17 [6262]~P42(x62622)+~P42(x62621)+E(x62621,x62622)+~E(f326(f309(a1,a920,a104),x62621),f326(f309(a1,a920,a104),x62622))
% 163.42/163.17 [9293]~P120(x92931)+~P106(f326(f326(f328(x92931),x92932),f109(x92931)))+P106(f326(f326(f235(x92931),f326(f326(f79(x92931),f326(f326(f79(x92931),f77(x92931)),x92932)),x92932)),f2(x92931)))+~P106(f326(f326(f235(x92931),x92932),f2(x92931)))
% 163.42/163.17 [9536]~P120(x95361)+~P106(f326(f326(f328(x95361),x95362),f109(x95361)))+~P106(f326(f326(f235(x95361),f326(f326(f79(x95361),f326(f326(f79(x95361),f77(x95361)),x95362)),x95362)),f2(x95361)))+P106(f326(f326(f235(x95361),x95362),f2(x95361)))
% 163.42/163.17 [5088]~P116(x50882)+~P147(x50882)+E(x50881,f2(a920))+E(f326(f326(f243(x50882),f2(x50882)),x50881),f2(x50882))
% 163.42/163.17 [5091]~P116(x50911)+~P147(x50911)+~E(x50912,f2(a920))+E(f326(f326(f243(x50911),f2(x50911)),x50912),f77(x50911))
% 163.42/163.17 [5258]~P144(x52582)+E(x52581,f77(x52582))+E(x52581,f326(f78(x52582),f77(x52582)))+~E(f326(f326(f80(x52582),x52581),x52581),f77(x52582))
% 163.42/163.17 [5512]~P91(x55122)+E(x55121,f2(x55122))+E(f81(x55122,x55121),f326(f78(x55122),f77(x55122)))+P106(f326(f326(f235(x55122),f2(x55122)),x55121))
% 163.42/163.17 [5755]~P91(x57552)+E(f81(x57552,x57551),f77(x57552))+E(x57551,f2(x57552))+~P106(f326(f326(f235(x57552),f2(x57552)),x57551))
% 163.42/163.17 [5764]E(x57641,x57642)+~E(f326(f103(a920),x57641),f326(f103(a920),x57642))+P106(f326(a194,f326(f103(a1),x57642)))+P106(f326(a194,f326(f103(a1),x57641)))
% 163.42/163.17 [5814]~P93(x58141)+~E(x58142,f2(x58141))+E(f326(f326(f79(x58141),x58142),x58142),f2(x58141))+~P106(f326(f326(f328(x58141),x58142),f109(x58141)))
% 163.42/163.17 [5853]E(x58531,f2(a1))+~E(f326(f326(f35(a1),x58532),x58531),f2(a1))+P106(f326(f326(f235(a1),x58531),x58532))+P106(f326(f326(f235(a1),x58532),x58531))
% 163.42/163.17 [5883]E(x58831,f2(a1))+~E(f326(f326(f35(a1),x58832),x58831),f2(a1))+P106(f326(f326(f234(a1),x58832),f2(a1)))+P106(f326(f326(f235(a1),x58832),x58831))
% 163.42/163.17 [5917]E(x59171,f2(a1))+~E(f326(f326(f35(a1),x59172),x59171),f2(a1))+P106(f326(f326(f234(a1),f2(a1)),x59172))+P106(f326(f326(f235(a1),x59171),x59172))
% 163.42/163.17 [5952]~P93(x59522)+E(x59521,f2(x59522))+~E(f326(f326(f79(x59522),x59521),x59521),f2(x59522))+~P106(f326(f326(f328(x59522),x59521),f109(x59522)))
% 163.42/163.17 [6014]E(f326(f103(a920),x60141),f326(f103(a920),x60142))+~E(f326(f103(a1),x60142),f2(a1))+P106(f326(a194,f326(f103(a1),x60142)))+~P106(f326(a194,f326(f103(a1),x60141)))
% 163.42/163.17 [6043]~E(f326(f103(a920),x60432),f326(f103(a920),x60431))+E(f326(f103(a1),x60431),f2(a1))+P106(f326(a194,f326(f103(a1),x60431)))+~P106(f326(a194,f326(f103(a1),x60432)))
% 163.42/163.17 [6053]~P109(x60532)+E(x60531,f189(f928(x60532,a916)))+~P106(f326(f60(x60532),x60531))+P106(f326(f326(f328(x60532),f16(x60532,x60531)),x60531))
% 163.42/163.17 [6054]~P109(x60542)+E(x60541,f189(f928(x60542,a916)))+~P106(f326(f60(x60542),x60541))+P106(f326(f326(f328(x60542),f17(x60542,x60541)),x60541))
% 163.42/163.17 [6225]~P120(x62251)+~P94(x62251)+P106(f326(f326(f234(x62251),f2(x62251)),f326(f103(x62251),x62252)))+~P106(f326(f326(f234(a1),a82),x62252))
% 163.42/163.17 [6226]~P120(x62261)+~P94(x62261)+P106(f326(f326(f235(x62261),f2(x62261)),f326(f103(x62261),x62262)))+~P106(f326(f326(f235(a1),a82),x62262))
% 163.42/163.17 [6247]~P120(x62471)+~P94(x62471)+E(f326(f75(x62471),f326(f103(x62471),x62472)),f326(f103(x62471),x62472))+P106(f326(f326(f235(x62471),f326(f103(x62471),x62472)),f2(x62471)))
% 163.42/163.17 [6286]E(x62861,x62862)+~E(f326(a104,x62861),f326(a104,x62862))+~P106(f326(f326(f234(a1),f2(a1)),x62862))+~P106(f326(f326(f234(a1),f2(a1)),x62861))
% 163.42/163.17 [6483]~P94(x64832)+~P120(x64832)+~P106(f326(f326(f234(x64832),f2(x64832)),f326(f103(x64832),x64831)))+P106(f326(f326(f234(a1),a82),x64831))
% 163.42/163.17 [6484]~P94(x64842)+~P120(x64842)+~P106(f326(f326(f235(x64842),f2(x64842)),f326(f103(x64842),x64841)))+P106(f326(f326(f235(a1),a82),x64841))
% 163.42/163.17 [6489]~P120(x64891)+~P94(x64891)+P106(f326(f326(f234(x64891),f326(f103(x64891),x64892)),f2(x64891)))+~P106(f326(f326(f234(a1),x64892),a82))
% 163.42/163.17 [6490]~P120(x64901)+~P94(x64901)+P106(f326(f326(f235(x64901),f326(f103(x64901),x64902)),f2(x64901)))+~P106(f326(f326(f235(a1),x64902),a82))
% 163.42/163.17 [6809]~P94(x68092)+~P120(x68092)+~P106(f326(f326(f234(x68092),f326(f103(x68092),x68091)),f2(x68092)))+P106(f326(f326(f234(a1),x68091),a82))
% 163.42/163.17 [6810]~P94(x68102)+~P120(x68102)+~P106(f326(f326(f235(x68102),f326(f103(x68102),x68101)),f2(x68102)))+P106(f326(f326(f235(a1),x68101),a82))
% 163.42/163.17 [6901]~P120(x69011)+~P94(x69011)+E(f326(f75(x69011),f326(f103(x69011),x69012)),f326(f78(x69011),f326(f103(x69011),x69012)))+~P106(f326(f326(f235(x69011),f326(f103(x69011),x69012)),f2(x69011)))
% 163.42/163.17 [6919]E(f326(f103(a920),x69191),f326(f103(a920),x69192))+~E(f326(f103(a1),x69192),f2(a1))+~P106(f326(f326(f234(a1),f326(f103(a1),x69191)),f2(a1)))+~P106(f326(a194,f326(f103(a1),x69191)))
% 163.42/163.17 [7797]~P109(x77972)+E(x77971,f189(f928(x77972,a916)))+~P106(f326(f60(x77972),x77971))+P106(f326(f326(f234(x77972),f14(x77972,f188(x77972),x77971)),f15(x77972,f233(x77972),x77971)))
% 163.42/163.17 [8114]~P7(x81141)+~P42(x81142)+P106(f326(f326(f328(a1),x81141),x81142))+~P106(f326(f326(f328(a920),f326(a104,x81141)),f326(f309(a1,a920,a104),x81142)))
% 163.42/163.17 [6049]~P143(x60492)+E(x60491,f2(a1))+E(f326(f78(x60492),f326(f102(x60492),f326(f78(a1),x60491))),f326(f102(x60492),x60491))+~P106(f326(f326(f235(a1),x60491),f2(a1)))
% 163.42/163.17 [6127]~P93(x61271)+~P94(x61271)+~P29(x61271,f326(f103(x61271),x61272))+P29(x61271,f326(f103(x61271),f326(f326(f79(a1),x61272),x61272)))
% 163.42/163.17 [6472]~P78(x64722)+E(x64721,f189(f928(x64722,a916)))+E(f17(x64722,f326(f309(x64722,x64722,f78(x64722)),x64721)),f326(f78(x64722),f16(x64722,x64721)))+~P106(f326(f60(x64722),x64721))
% 163.42/163.17 [6473]~P78(x64732)+E(x64731,f189(f928(x64732,a916)))+E(f16(x64732,f326(f309(x64732,x64732,f78(x64732)),x64731)),f326(f78(x64732),f17(x64732,x64731)))+~P106(f326(f60(x64732),x64731))
% 163.42/163.17 [6506]~P93(x65061)+~P94(x65061)+P29(x65061,f326(f103(x65061),x65062))+~P29(x65061,f326(f103(x65061),f326(f326(f79(a1),x65062),x65062)))
% 163.42/163.17 [6601]E(x66011,f2(a1))+E(f326(a50,f49(f326(f78(a1),x66011),f326(f78(a1),x66012))),f45(x66011,x66012))+P106(f326(f326(f234(a1),f2(a1)),x66012))+~P106(f326(f326(f234(a1),f2(a1)),x66011))
% 163.42/163.17 [8896]~P42(x88962)+~P42(x88961)+P106(f326(f326(f235(f928(a920,a916)),f326(f309(a1,a920,a104),x88961)),f326(f309(a1,a920,a104),x88962)))+~P106(f326(f326(f235(f928(a1,a916)),x88961),x88962))
% 163.42/163.17 [9127]~E(f733(x91272,x91271),f731(x91272,x91271))+~P106(f326(f137(x91271),f732(x91272,x91271)))+~P106(f326(f137(f921(x91271)),x91272))+P106(f326(f137(x91271),f326(f142(f921(x91271),f921(x91271),f134(x91271),f113(x91271)),x91272)))
% 163.42/163.17 [9213]~P42(x92132)+~P42(x92131)+~P106(f326(f326(f234(f928(a920,a916)),f326(f309(a1,a920,a104),x92131)),f326(f309(a1,a920,a104),x92132)))+P106(f326(f326(f234(f928(a1,a916)),x92131),x92132))
% 163.42/163.17 [9214]~P42(x92142)+~P42(x92141)+~P106(f326(f326(f235(f928(a920,a916)),f326(f309(a1,a920,a104),x92141)),f326(f309(a1,a920,a104),x92142)))+P106(f326(f326(f235(f928(a1,a916)),x92141),x92142))
% 163.42/163.17 [9220]~E(f733(x92202,x92201),f731(x92202,x92201))+~P106(f326(f137(f921(x92201)),x92202))+P106(f326(f137(x92201),f326(f142(f921(x92201),f921(x92201),f134(x92201),f113(x92201)),x92202)))+P106(f326(f326(f328(f921(x92201)),f732(x92202,x92201)),f326(f172(f921(x92201)),x92202)))
% 163.42/163.17 [9261]~P106(f326(f137(x92611),f732(x92612,x92611)))+~P106(f326(f137(f921(x92611)),x92612))+P106(f326(f137(x92611),f326(f142(f921(x92611),f921(x92611),f134(x92611),f113(x92611)),x92612)))+P106(f326(f326(f328(f921(x92611)),f731(x92612,x92611)),f326(f172(f921(x92611)),x92612)))
% 163.42/163.17 [9262]~P106(f326(f137(x92621),f732(x92622,x92621)))+~P106(f326(f137(f921(x92621)),x92622))+P106(f326(f137(x92621),f326(f142(f921(x92621),f921(x92621),f134(x92621),f113(x92621)),x92622)))+P106(f326(f326(f328(f921(x92621)),f733(x92622,x92621)),f326(f172(f921(x92621)),x92622)))
% 163.42/163.17 [9339]~P106(f326(f137(f921(x93391)),x93392))+P106(f326(f137(x93391),f326(f142(f921(x93391),f921(x93391),f134(x93391),f113(x93391)),x93392)))+P106(f326(f326(f328(f921(x93391)),f731(x93392,x93391)),f326(f172(f921(x93391)),x93392)))+P106(f326(f326(f328(f921(x93391)),f732(x93392,x93391)),f326(f172(f921(x93391)),x93392)))
% 163.42/163.17 [9340]~P106(f326(f137(f921(x93401)),x93402))+P106(f326(f137(x93401),f326(f142(f921(x93401),f921(x93401),f134(x93401),f113(x93401)),x93402)))+P106(f326(f326(f328(f921(x93401)),f733(x93402,x93401)),f326(f172(f921(x93401)),x93402)))+P106(f326(f326(f328(f921(x93401)),f732(x93402,x93401)),f326(f172(f921(x93401)),x93402)))
% 163.42/163.17 [9354]~E(f326(f326(f101(f928(x93541,a916)),f326(f172(x93541),f731(x93542,x93541))),f326(f172(x93541),f733(x93542,x93541))),f189(f928(x93541,a916)))+~P106(f326(f137(x93541),f732(x93542,x93541)))+~P106(f326(f137(f921(x93541)),x93542))+P106(f326(f137(x93541),f326(f142(f921(x93541),f921(x93541),f134(x93541),f113(x93541)),x93542)))
% 163.42/163.17 [9416]~E(f326(f326(f101(f928(x94161,a916)),f326(f172(x94161),f731(x94162,x94161))),f326(f172(x94161),f733(x94162,x94161))),f189(f928(x94161,a916)))+~P106(f326(f137(f921(x94161)),x94162))+P106(f326(f137(x94161),f326(f142(f921(x94161),f921(x94161),f134(x94161),f113(x94161)),x94162)))+P106(f326(f326(f328(f921(x94161)),f732(x94162,x94161)),f326(f172(f921(x94161)),x94162)))
% 163.42/163.17 [9700]E(x97001,f2(a1))+E(x97002,f2(a1))+E(f326(f326(f85(a1,f927(a1,a1)),f326(f326(a218,x97002),x97001)),f326(f326(f20(a1,a1,f927(a1,a1)),f326(f326(f10(a1,f928(a1,f927(a1,a1)),a1),f251(a1,a1)),f326(f35(a1),x97002))),f326(f35(a1),x97001))),f216(x97002,x97001))+P106(f326(f326(f235(a1),x97001),f2(a1)))
% 163.42/163.17 [8440]~P94(x84402)+~P120(x84402)+~P106(f326(f326(f234(x84402),f326(f103(x84402),x84401)),f77(x84402)))+P106(f326(f326(f234(a1),x84401),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 163.42/163.17 [8441]~P94(x84412)+~P120(x84412)+~P106(f326(f326(f235(x84412),f326(f103(x84412),x84411)),f77(x84412)))+P106(f326(f326(f235(a1),x84411),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 163.42/163.17 [8709]~P120(x87091)+~P94(x87091)+P106(f326(f326(f234(x87091),f326(f103(x87091),x87092)),f77(x87091)))+~P106(f326(f326(f234(a1),x87092),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 163.42/163.17 [8710]~P120(x87101)+~P94(x87101)+P106(f326(f326(f235(x87101),f326(f103(x87101),x87102)),f77(x87101)))+~P106(f326(f326(f235(a1),x87102),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 163.42/163.17 [8924]~P94(x89242)+~P120(x89242)+~P106(f326(f326(f234(x89242),f77(x89242)),f326(f103(x89242),x89241)))+P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x89241))
% 163.42/163.17 [8925]~P94(x89252)+~P120(x89252)+~P106(f326(f326(f235(x89252),f77(x89252)),f326(f103(x89252),x89251)))+P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x89251))
% 163.42/163.17 [9299]~P120(x92991)+~P94(x92991)+P106(f326(f326(f234(x92991),f77(x92991)),f326(f103(x92991),x92992)))+~P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x92992))
% 163.42/163.17 [9300]~P120(x93001)+~P94(x93001)+P106(f326(f326(f235(x93001),f77(x93001)),f326(f103(x93001),x93002)))+~P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x93002))
% 163.42/163.17 [9830]~P144(x98302)+E(x98301,f77(x98302))+E(x98301,f326(f78(x98302),f77(x98302)))+~E(f326(f326(f243(x98302),x98301),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x98302))
% 163.42/163.17 [10098]~P67(x100981)+~P94(x100981)+~P106(f326(f326(f235(x100981),f2(x100981)),x100982))+P106(f326(f326(f235(x100981),f2(x100981)),f326(f326(f290(x100981),x100982),f326(f103(x100981),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 163.42/163.17 [10152]~P67(x101521)+~P94(x101521)+P106(f326(f326(f235(x101521),f2(x101521)),x101522))+~P106(f326(f326(f235(x101521),f2(x101521)),f326(f326(f290(x101521),x101522),f326(f103(x101521),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 163.42/163.17 [10448]~P143(x104482)+E(x104481,f2(a1))+P106(f326(f326(f235(a1),x104481),f2(a1)))+E(f326(f326(f256(a1,a1,x104482),f326(f326(f9(a1,f928(a1,f928(x104482,x104482)),f928(a1,x104482)),f326(f326(f10(f928(f928(x104482,x104482),x104482),f928(f928(a1,f928(x104482,x104482)),f928(a1,x104482)),a1),f10(f928(x104482,x104482),x104482,a1)),f326(f326(f10(x104482,f928(f928(x104482,x104482),x104482),a1),f85(x104482,x104482)),f102(x104482)))),f326(f326(f9(a1,f928(x104482,x104482),f928(x104482,x104482)),f326(f326(f10(f928(x104482,f928(x104482,x104482)),f928(f928(x104482,x104482),f928(x104482,x104482)),a1),f20(x104482,x104482,x104482)),f326(f326(f9(a1,f928(x104482,x104482),f928(x104482,f928(x104482,x104482))),f326(f326(f10(f928(x104482,f928(x104482,x104482)),f928(f928(x104482,x104482),f928(x104482,f928(x104482,x104482))),a1),f10(x104482,f928(x104482,x104482),x104482)),f326(f326(f10(a916,f928(x104482,f928(x104482,x104482)),a1),f96(x104482)),f326(f326(f9(a1,a1,a916),a323),f2(a1))))),f326(f326(f20(x104482,x104482,x104482),f79(x104482)),f7(x104482))))),f326(f326(f9(x104482,x104482,x104482),f326(f326(f10(x104482,f928(x104482,x104482),x104482),f79(x104482)),f326(f326(f20(x104482,x104482,x104482),f79(x104482)),f7(x104482)))),f77(x104482))))),f45(x104481,f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f102(x104482),x104481))
% 163.42/163.17 [5521]~P40(x55211,x55213)+~P53(x55211,x55213)+~P54(x55211,x55212,x55213)+P9(x55211,x55212,x55213)
% 163.42/163.17 [5057]~P93(x50573)+~P94(x50573)+E(x50571,x50572)+~E(f326(f103(x50573),x50571),f326(f103(x50573),x50572))
% 163.42/163.17 [5531]~P51(x55311,x55312)+~P52(x55311,x55312)+P16(x55311,x55312)+~P106(f326(f326(x55312,x55313),x55313))
% 163.42/163.17 [6029]P16(x60292,x60291)+E(f326(x60291,f806(x60291)),f326(x60291,f807(x60291)))+P106(f326(f326(x60291,f806(x60291)),f807(x60291)))+~P106(f326(f326(x60291,x60293),x60293))
% 163.42/163.17 [6235]~P106(f326(x62351,x62352))+~P106(f326(x62351,x62353))+~P106(f326(f326(f234(a920),x62353),f906(x62352,x62351)))+P106(f326(x62351,f2(a920)))
% 163.42/163.17 [6306]P16(x63061,x63062)+P106(f326(f326(x63062,f806(x63062)),f806(x63062)))+P106(f326(f326(x63062,f806(x63062)),f807(x63062)))+~P106(f326(f326(x63062,x63063),x63063))
% 163.42/163.17 [6307]P16(x63071,x63072)+P106(f326(f326(x63072,f806(x63072)),f807(x63072)))+P106(f326(f326(x63072,f807(x63072)),f807(x63072)))+~P106(f326(f326(x63072,x63073),x63073))
% 163.42/163.17 [6663]P148(x66632,x66631,x66633)+E(x66631,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f863(x66633,x66631,x66632)))+P106(f326(f326(f235(a1),x66631),f2(a1)))
% 163.42/163.17 [6664]P149(x66642,x66641,x66643)+E(x66641,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f869(x66643,x66641,x66642)))+P106(f326(f326(f235(a1),x66641),f2(a1)))
% 163.42/163.17 [6790]P148(x67901,x67902,x67903)+~P106(f326(x67901,x67903))+P106(f326(f326(f234(a1),f2(a1)),f863(x67903,x67902,x67901)))+P106(f326(f326(f235(a1),x67902),f2(a1)))
% 163.42/163.17 [6815]P149(x68151,x68152,x68153)+P106(f326(f326(f234(a1),f2(a1)),f869(x68153,x68152,x68151)))+~P106(f326(x68151,f2(a1)))+P106(f326(f326(f235(a1),x68152),f2(a1)))
% 163.42/163.17 [6845]P148(x68452,x68451,x68453)+E(x68451,f2(a1))+~P106(f326(x68452,f863(x68453,x68451,x68452)))+P106(f326(f326(f235(a1),x68451),f2(a1)))
% 163.42/163.17 [6846]P149(x68462,x68461,x68463)+E(x68461,f2(a1))+~P106(f326(x68462,f870(x68463,x68461,x68462)))+P106(f326(f326(f235(a1),x68461),f2(a1)))
% 163.42/163.17 [6946]~P109(x69461)+~P6(x69461)+~P106(f326(f326(f235(x69461),x69462),f36(x69461,x69463)))+P106(f326(f326(f235(x69461),x69462),f877(x69463,x69462,x69461)))
% 163.42/163.17 [6956]P148(x69561,x69562,x69563)+~P106(f326(x69561,x69563))+~P106(f326(x69561,f863(x69563,x69562,x69561)))+P106(f326(f326(f235(a1),x69562),f2(a1)))
% 163.42/163.17 [6986]P149(x69861,x69862,x69863)+~P106(f326(x69861,f870(x69863,x69862,x69861)))+~P106(f326(x69861,f2(a1)))+P106(f326(f326(f235(a1),x69862),f2(a1)))
% 163.42/163.17 [7235]P148(x72352,x72351,x72353)+E(x72351,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f863(x72353,x72351,x72352)))+P106(f326(f326(f235(a1),x72351),f862(x72353,x72351,x72352)))
% 163.42/163.17 [7236]P149(x72362,x72361,x72363)+E(x72361,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f869(x72363,x72361,x72362)))+P106(f326(f326(f235(a1),x72361),f868(x72363,x72361,x72362)))
% 163.42/163.17 [7356]P148(x73561,x73562,x73563)+~P106(f326(x73561,x73563))+P106(f326(f326(f234(a1),f2(a1)),f863(x73563,x73562,x73561)))+P106(f326(f326(f235(a1),x73562),f862(x73563,x73562,x73561)))
% 163.42/163.17 [7377]P149(x73771,x73772,x73773)+P106(f326(f326(f234(a1),f2(a1)),f869(x73773,x73772,x73771)))+P106(f326(f326(f235(a1),x73772),f868(x73773,x73772,x73771)))+~P106(f326(x73771,f2(a1)))
% 163.42/163.17 [7410]P148(x74102,x74101,x74103)+E(x74101,f2(a1))+~P106(f326(x74102,f863(x74103,x74101,x74102)))+P106(f326(f326(f235(a1),x74101),f862(x74103,x74101,x74102)))
% 163.42/163.17 [7411]P149(x74112,x74111,x74113)+E(x74111,f2(a1))+~P106(f326(x74112,f870(x74113,x74111,x74112)))+P106(f326(f326(f235(a1),x74111),f868(x74113,x74111,x74112)))
% 163.42/163.17 [7455]P148(x74552,x74551,x74553)+E(x74551,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f863(x74553,x74551,x74552)))+~P106(f326(x74552,f862(x74553,x74551,x74552)))
% 163.42/163.17 [7456]P149(x74562,x74561,x74563)+E(x74561,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f869(x74563,x74561,x74562)))+~P106(f326(x74562,f871(x74563,x74561,x74562)))
% 163.42/163.17 [7550]P148(x75501,x75502,x75503)+~P106(f326(x75501,x75503))+~P106(f326(x75501,f863(x75503,x75502,x75501)))+P106(f326(f326(f235(a1),x75502),f862(x75503,x75502,x75501)))
% 163.42/163.17 [7565]P149(x75651,x75652,x75653)+~P106(f326(x75651,f870(x75653,x75652,x75651)))+P106(f326(f326(f235(a1),x75652),f868(x75653,x75652,x75651)))+~P106(f326(x75651,f2(a1)))
% 163.42/163.17 [7568]P148(x75681,x75682,x75683)+~P106(f326(x75681,x75683))+P106(f326(f326(f234(a1),f2(a1)),f863(x75683,x75682,x75681)))+~P106(f326(x75681,f862(x75683,x75682,x75681)))
% 163.42/163.17 [7585]P149(x75851,x75852,x75853)+P106(f326(f326(f234(a1),f2(a1)),f869(x75853,x75852,x75851)))+~P106(f326(x75851,f871(x75853,x75852,x75851)))+~P106(f326(x75851,f2(a1)))
% 163.42/163.17 [7607]P148(x76072,x76071,x76073)+E(x76071,f2(a1))+~P106(f326(x76072,f863(x76073,x76071,x76072)))+~P106(f326(x76072,f862(x76073,x76071,x76072)))
% 163.42/163.17 [7608]P149(x76082,x76081,x76083)+E(x76081,f2(a1))+~P106(f326(x76082,f870(x76083,x76081,x76082)))+~P106(f326(x76082,f871(x76083,x76081,x76082)))
% 163.42/163.17 [7694]P148(x76941,x76942,x76943)+~P106(f326(x76941,x76943))+~P106(f326(x76941,f863(x76943,x76942,x76941)))+~P106(f326(x76941,f862(x76943,x76942,x76941)))
% 163.42/163.17 [7711]P149(x77111,x77112,x77113)+~P106(f326(x77111,f870(x77113,x77112,x77111)))+~P106(f326(x77111,f871(x77113,x77112,x77111)))+~P106(f326(x77111,f2(a1)))
% 163.42/163.17 [7756]P148(x77562,x77561,x77563)+E(x77561,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f863(x77563,x77561,x77562)))+P106(f326(f326(f234(a1),f862(x77563,x77561,x77562)),f2(a1)))
% 163.42/163.17 [7757]P149(x77572,x77571,x77573)+E(x77571,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f869(x77573,x77571,x77572)))+P106(f326(f326(f234(a1),f868(x77573,x77571,x77572)),f2(a1)))
% 163.42/163.17 [7758]~P89(x77581)+~P106(f326(f326(f234(x77581),x77583),f2(x77581)))+~P106(f326(f326(f234(x77581),x77582),f2(x77581)))+P106(f326(f326(f234(x77581),f326(f326(f79(x77581),x77582),x77583)),f2(x77581)))
% 163.42/163.17 [7759]~P143(x77591)+~P106(f326(f326(f328(x77591),x77593),f109(x77591)))+~P106(f326(f326(f328(x77591),x77592),f109(x77591)))+P106(f326(f326(f328(x77591),f326(f326(f3(x77591),x77592),x77593)),f109(x77591)))
% 163.42/163.17 [7760]~P143(x77601)+~P106(f326(f326(f328(x77601),x77603),f109(x77601)))+~P106(f326(f326(f328(x77601),x77602),f109(x77601)))+P106(f326(f326(f328(x77601),f326(f326(f80(x77601),x77602),x77603)),f109(x77601)))
% 163.42/163.17 [7761]~P146(x77611)+~P106(f326(f326(f328(x77611),x77613),f186(x77611)))+~P106(f326(f326(f328(x77611),x77612),f186(x77611)))+P106(f326(f326(f328(x77611),f326(f326(f80(x77611),x77612),x77613)),f186(x77611)))
% 163.42/163.17 [7762]~P143(x77621)+~P106(f326(f326(f328(x77621),x77623),f109(x77621)))+~P106(f326(f326(f328(x77621),x77622),f109(x77621)))+P106(f326(f326(f328(x77621),f326(f326(f79(x77621),x77622),x77623)),f109(x77621)))
% 163.42/163.17 [7763]~P146(x77631)+~P106(f326(f326(f328(x77631),x77633),f186(x77631)))+~P106(f326(f326(f328(x77631),x77632),f186(x77631)))+P106(f326(f326(f328(x77631),f326(f326(f79(x77631),x77632),x77633)),f186(x77631)))
% 163.42/163.17 [7764]~P89(x77641)+~P106(f326(f326(f234(x77641),x77643),f2(x77641)))+~P106(f326(f326(f235(x77641),x77642),f2(x77641)))+P106(f326(f326(f235(x77641),f326(f326(f79(x77641),x77642),x77643)),f2(x77641)))
% 163.42/163.17 [7765]~P89(x77651)+~P106(f326(f326(f234(x77651),x77652),f2(x77651)))+~P106(f326(f326(f235(x77651),x77653),f2(x77651)))+P106(f326(f326(f235(x77651),f326(f326(f79(x77651),x77652),x77653)),f2(x77651)))
% 163.42/163.17 [7766]~P89(x77661)+~P106(f326(f326(f235(x77661),x77663),f2(x77661)))+~P106(f326(f326(f235(x77661),x77662),f2(x77661)))+P106(f326(f326(f235(x77661),f326(f326(f79(x77661),x77662),x77663)),f2(x77661)))
% 163.42/163.17 [7793]P148(x77933,x77931,x77932)+E(x77931,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x77931),f864(x77932,x77931,x77933))),f863(x77932,x77931,x77933)),x77932)+P106(f326(f326(f235(a1),x77931),f2(a1)))
% 163.42/163.17 [7794]P149(x77943,x77941,x77942)+E(x77941,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x77941),f870(x77942,x77941,x77943))),f869(x77942,x77941,x77943)),x77942)+P106(f326(f326(f235(a1),x77941),f2(a1)))
% 163.42/163.17 [7877]P148(x78771,x78772,x78773)+~P106(f326(x78771,x78773))+P106(f326(f326(f234(a1),f2(a1)),f863(x78773,x78772,x78771)))+P106(f326(f326(f234(a1),f862(x78773,x78772,x78771)),f2(a1)))
% 163.42/163.17 [7907]P149(x79071,x79072,x79073)+P106(f326(f326(f234(a1),f2(a1)),f869(x79073,x79072,x79071)))+~P106(f326(x79071,f2(a1)))+P106(f326(f326(f234(a1),f868(x79073,x79072,x79071)),f2(a1)))
% 163.42/163.17 [7916]P148(x79163,x79161,x79162)+~P106(f326(x79163,x79162))+E(f326(f326(f79(a1),f326(f326(f80(a1),x79161),f864(x79162,x79161,x79163))),f863(x79162,x79161,x79163)),x79162)+P106(f326(f326(f235(a1),x79161),f2(a1)))
% 163.42/163.17 [7922]P148(x79222,x79221,x79223)+E(x79221,f2(a1))+~P106(f326(x79222,f863(x79223,x79221,x79222)))+P106(f326(f326(f234(a1),f862(x79223,x79221,x79222)),f2(a1)))
% 163.42/163.17 [7923]P149(x79232,x79231,x79233)+E(x79231,f2(a1))+~P106(f326(x79232,f870(x79233,x79231,x79232)))+P106(f326(f326(f234(a1),f868(x79233,x79231,x79232)),f2(a1)))
% 163.42/163.17 [7928]P149(x79283,x79281,x79282)+E(f326(f326(f79(a1),f326(f326(f80(a1),x79281),f870(x79282,x79281,x79283))),f869(x79282,x79281,x79283)),x79282)+~P106(f326(x79283,f2(a1)))+P106(f326(f326(f235(a1),x79281),f2(a1)))
% 163.42/163.17 [7984]P148(x79841,x79842,x79843)+~P106(f326(x79841,x79843))+~P106(f326(x79841,f863(x79843,x79842,x79841)))+P106(f326(f326(f234(a1),f862(x79843,x79842,x79841)),f2(a1)))
% 163.42/163.17 [7988]P149(x79881,x79882,x79883)+~P106(f326(x79881,f870(x79883,x79882,x79881)))+~P106(f326(x79881,f2(a1)))+P106(f326(f326(f234(a1),f868(x79883,x79882,x79881)),f2(a1)))
% 163.42/163.17 [8055]~P129(x80551)+~P106(f326(f326(f234(x80551),f326(f326(f80(x80551),x80553),x80552)),f2(x80551)))+P106(f326(f326(f234(x80551),x80552),f2(x80551)))+P106(f326(f326(f234(x80551),x80553),f2(x80551)))
% 163.42/163.17 [8056]~P67(x80561)+~P106(f326(f326(f234(x80561),f326(f326(f290(x80561),x80563),x80562)),f2(x80561)))+P106(f326(f326(f234(x80561),x80562),f2(x80561)))+P106(f326(f326(f234(x80561),x80563),f2(x80561)))
% 163.42/163.17 [8057]~P67(x80571)+~P106(f326(f326(f235(x80571),f326(f326(f290(x80571),x80573),x80572)),f2(x80571)))+P106(f326(f326(f235(x80571),x80572),f2(x80571)))+P106(f326(f326(f235(x80571),x80573),f2(x80571)))
% 163.42/163.17 [8170]P148(x81703,x81701,x81702)+E(x81701,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x81701),f864(x81702,x81701,x81703))),f863(x81702,x81701,x81703)),x81702)+P106(f326(f326(f235(a1),x81701),f862(x81702,x81701,x81703)))
% 163.42/163.17 [8171]P149(x81713,x81711,x81712)+E(x81711,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x81711),f870(x81712,x81711,x81713))),f869(x81712,x81711,x81713)),x81712)+P106(f326(f326(f235(a1),x81711),f868(x81712,x81711,x81713)))
% 163.42/163.17 [8184]P148(x81843,x81841,x81842)+E(x81841,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x81841),f867(x81842,x81841,x81843))),f862(x81842,x81841,x81843)),x81842)+P106(f326(f326(f234(a1),f2(a1)),f863(x81842,x81841,x81843)))
% 163.42/163.17 [8185]P149(x81853,x81851,x81852)+E(x81851,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x81851),f871(x81852,x81851,x81853))),f868(x81852,x81851,x81853)),x81852)+P106(f326(f326(f234(a1),f2(a1)),f869(x81852,x81851,x81853)))
% 163.42/163.17 [8227]P148(x82273,x82271,x82272)+~P106(f326(x82273,x82272))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82271),f864(x82272,x82271,x82273))),f863(x82272,x82271,x82273)),x82272)+P106(f326(f326(f235(a1),x82271),f862(x82272,x82271,x82273)))
% 163.42/163.17 [8236]P149(x82363,x82361,x82362)+E(f326(f326(f79(a1),f326(f326(f80(a1),x82361),f870(x82362,x82361,x82363))),f869(x82362,x82361,x82363)),x82362)+P106(f326(f326(f235(a1),x82361),f868(x82362,x82361,x82363)))+~P106(f326(x82363,f2(a1)))
% 163.42/163.17 [8242]P148(x82423,x82421,x82422)+~P106(f326(x82423,x82422))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82421),f867(x82422,x82421,x82423))),f862(x82422,x82421,x82423)),x82422)+P106(f326(f326(f234(a1),f2(a1)),f863(x82422,x82421,x82423)))
% 163.42/163.17 [8248]P149(x82483,x82481,x82482)+E(f326(f326(f79(a1),f326(f326(f80(a1),x82481),f871(x82482,x82481,x82483))),f868(x82482,x82481,x82483)),x82482)+P106(f326(f326(f234(a1),f2(a1)),f869(x82482,x82481,x82483)))+~P106(f326(x82483,f2(a1)))
% 163.42/163.17 [8259]P148(x82593,x82591,x82592)+E(x82591,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82591),f864(x82592,x82591,x82593))),f863(x82592,x82591,x82593)),x82592)+~P106(f326(x82593,f862(x82592,x82591,x82593)))
% 163.42/163.17 [8260]P149(x82603,x82601,x82602)+E(x82601,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82601),f870(x82602,x82601,x82603))),f869(x82602,x82601,x82603)),x82602)+~P106(f326(x82603,f871(x82602,x82601,x82603)))
% 163.42/163.17 [8261]P148(x82613,x82611,x82612)+E(x82611,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82611),f867(x82612,x82611,x82613))),f862(x82612,x82611,x82613)),x82612)+~P106(f326(x82613,f863(x82612,x82611,x82613)))
% 163.42/163.17 [8262]P149(x82623,x82621,x82622)+E(x82621,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82621),f871(x82622,x82621,x82623))),f868(x82622,x82621,x82623)),x82622)+~P106(f326(x82623,f870(x82622,x82621,x82623)))
% 163.42/163.17 [8320]P148(x83203,x83201,x83202)+~P106(f326(x83203,x83202))+E(f326(f326(f79(a1),f326(f326(f80(a1),x83201),f864(x83202,x83201,x83203))),f863(x83202,x83201,x83203)),x83202)+~P106(f326(x83203,f862(x83202,x83201,x83203)))
% 163.42/163.17 [8321]P148(x83213,x83211,x83212)+~P106(f326(x83213,x83212))+E(f326(f326(f79(a1),f326(f326(f80(a1),x83211),f867(x83212,x83211,x83213))),f862(x83212,x83211,x83213)),x83212)+~P106(f326(x83213,f863(x83212,x83211,x83213)))
% 163.42/163.17 [8334]P149(x83343,x83341,x83342)+E(f326(f326(f79(a1),f326(f326(f80(a1),x83341),f870(x83342,x83341,x83343))),f869(x83342,x83341,x83343)),x83342)+~P106(f326(x83343,f871(x83342,x83341,x83343)))+~P106(f326(x83343,f2(a1)))
% 163.42/163.17 [8335]P149(x83353,x83351,x83352)+E(f326(f326(f79(a1),f326(f326(f80(a1),x83351),f871(x83352,x83351,x83353))),f868(x83352,x83351,x83353)),x83352)+~P106(f326(x83353,f870(x83352,x83351,x83353)))+~P106(f326(x83353,f2(a1)))
% 163.42/163.17 [8433]P148(x84333,x84331,x84332)+E(x84331,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84331),f864(x84332,x84331,x84333))),f863(x84332,x84331,x84333)),x84332)+P106(f326(f326(f234(a1),f862(x84332,x84331,x84333)),f2(a1)))
% 163.42/163.17 [8434]P149(x84343,x84341,x84342)+E(x84341,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84341),f870(x84342,x84341,x84343))),f869(x84342,x84341,x84343)),x84342)+P106(f326(f326(f234(a1),f868(x84342,x84341,x84343)),f2(a1)))
% 163.42/163.17 [8473]P148(x84733,x84731,x84732)+~P106(f326(x84733,x84732))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84731),f864(x84732,x84731,x84733))),f863(x84732,x84731,x84733)),x84732)+P106(f326(f326(f234(a1),f862(x84732,x84731,x84733)),f2(a1)))
% 163.42/163.17 [8478]P149(x84783,x84781,x84782)+E(f326(f326(f79(a1),f326(f326(f80(a1),x84781),f870(x84782,x84781,x84783))),f869(x84782,x84781,x84783)),x84782)+~P106(f326(x84783,f2(a1)))+P106(f326(f326(f234(a1),f868(x84782,x84781,x84783)),f2(a1)))
% 163.42/163.17 [8611]P148(x86113,x86111,x86112)+E(x86111,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x86111),f867(x86112,x86111,x86113))),f862(x86112,x86111,x86113)),x86112)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86111),f864(x86112,x86111,x86113))),f863(x86112,x86111,x86113)),x86112)
% 163.42/163.17 [8612]P149(x86123,x86121,x86122)+E(x86121,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x86121),f871(x86122,x86121,x86123))),f868(x86122,x86121,x86123)),x86122)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86121),f870(x86122,x86121,x86123))),f869(x86122,x86121,x86123)),x86122)
% 163.42/163.17 [8632]P148(x86323,x86321,x86322)+~P106(f326(x86323,x86322))+E(f326(f326(f79(a1),f326(f326(f80(a1),x86321),f867(x86322,x86321,x86323))),f862(x86322,x86321,x86323)),x86322)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86321),f864(x86322,x86321,x86323))),f863(x86322,x86321,x86323)),x86322)
% 163.42/163.17 [8643]P149(x86433,x86431,x86432)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86431),f871(x86432,x86431,x86433))),f868(x86432,x86431,x86433)),x86432)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86431),f870(x86432,x86431,x86433))),f869(x86432,x86431,x86433)),x86432)+~P106(f326(x86433,f2(a1)))
% 163.42/163.17 [9307]~P129(x93071)+~E(x93073,f2(x93071))+~E(x93072,f2(x93071))+P106(f326(f326(f234(x93071),f326(f326(f79(x93071),f326(f326(f80(x93071),x93072),x93072)),f326(f326(f80(x93071),x93073),x93073))),f2(x93071)))
% 163.42/163.17 [10385]~P120(x103851)+~E(x103853,f2(x103851))+~E(x103852,f2(x103851))+P106(f326(f326(f234(x103851),f326(f326(f79(x103851),f326(f326(f243(x103851),x103852),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103851),x103853),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x103851)))
% 163.42/163.17 [5005]~E(x50053,x50051)+~P124(x50052)+E(x50051,f2(x50052))+E(f326(f326(f290(x50052),x50053),x50051),f77(x50052))
% 163.42/163.17 [5058]~P3(x50581)+~E(x50583,f189(x50581))+~E(x50582,f189(x50581))+E(f326(f326(f110(x50581),x50582),x50583),f189(x50581))
% 163.42/163.17 [5059]~P100(x50591)+~E(x50593,f241(x50591))+~E(x50592,f241(x50591))+E(f326(f326(f101(x50591),x50592),x50593),f241(x50591))
% 163.42/163.17 [5152]~P124(x51523)+E(x51521,x51522)+E(x51522,f2(x51523))+~E(f326(f326(f290(x51523),x51521),x51522),f77(x51523))
% 163.42/163.17 [5170]~P133(x51702)+E(x51701,f2(x51702))+E(x51703,f2(x51702))+~E(f326(f326(f80(x51702),x51703),x51701),f2(x51702))
% 163.42/163.17 [5171]~P142(x51712)+E(x51711,f2(x51712))+E(x51713,f2(x51712))+~E(f326(f326(f80(x51712),x51713),x51711),f2(x51712))
% 163.42/163.17 [5550]~P122(x55503)+E(x55501,x55502)+E(x55501,f326(f78(x55503),x55502))+~E(f326(f326(f80(x55503),x55501),x55501),f326(f326(f80(x55503),x55502),x55502))
% 163.42/163.17 [5589]~P96(x55891)+E(f326(f78(x55891),x55892),x55893)+~E(f326(f326(f110(x55891),x55892),x55893),f241(x55891))+~E(f326(f326(f101(x55891),x55892),x55893),f189(x55891))
% 163.42/163.17 [5669]~P120(x56693)+E(x56691,x56692)+P106(f326(f326(f235(x56693),x56692),x56691))+P106(f326(f326(f235(x56693),x56691),x56692))
% 163.42/163.17 [5670]~P109(x56703)+E(x56701,x56702)+P106(f326(f326(f235(x56703),x56702),x56701))+P106(f326(f326(f235(x56703),x56701),x56702))
% 163.42/163.17 [5671]~E(x56712,x56713)+~P109(x56711)+P106(f326(f326(f235(x56711),x56712),x56713))+P106(f326(f326(f234(x56711),x56712),x56713))
% 163.42/163.17 [5933]~P110(x59333)+E(x59331,x59332)+~P106(f326(f326(f234(x59333),x59332),x59331))+P106(f326(f326(f235(x59333),x59332),x59331))
% 163.42/163.17 [5935]~P109(x59353)+E(x59351,x59352)+~P106(f326(f326(f234(x59353),x59351),x59352))+P106(f326(f326(f235(x59353),x59351),x59352))
% 163.42/163.17 [5941]~P110(x59413)+E(x59411,x59412)+~P106(f326(f326(f234(x59413),x59411),x59412))+P106(f326(f326(f235(x59413),x59411),x59412))
% 163.42/163.17 [6046]P148(x60461,x60462,x60463)+~P106(f326(x60461,x60463))+P106(f326(f326(f235(a1),x60462),f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x60462))
% 163.42/163.17 [6100]P149(x61001,x61002,x61003)+~P106(f326(x61001,f2(a1)))+P106(f326(f326(f235(a1),x61002),f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x61002))
% 163.42/163.17 [6105]~P2(x61051)+E(f326(f326(f110(x61051),x61052),f13(x61051,x61053)),x61052)+~P106(f326(f60(x61051),x61053))+~P106(f326(f326(f328(x61051),x61052),x61053))
% 163.42/163.17 [6106]~P2(x61061)+E(f326(f326(f101(x61061),x61062),f12(x61061,x61063)),x61062)+~P106(f326(f60(x61061),x61063))+~P106(f326(f326(f328(x61061),x61062),x61063))
% 163.42/163.17 [6144]~P2(x61441)+E(f326(f326(f110(x61441),x61442),f12(x61441,x61443)),f12(x61441,x61443))+~P106(f326(f60(x61441),x61443))+~P106(f326(f326(f328(x61441),x61442),x61443))
% 163.42/163.17 [6145]~P2(x61451)+E(f326(f326(f101(x61451),x61452),f13(x61451,x61453)),f13(x61451,x61453))+~P106(f326(f60(x61451),x61453))+~P106(f326(f326(f328(x61451),x61452),x61453))
% 163.42/163.17 [6146]~P109(x61461)+E(f326(f326(f188(x61461),x61462),f16(x61461,x61463)),f16(x61461,x61463))+~P106(f326(f60(x61461),x61463))+~P106(f326(f326(f328(x61461),x61462),x61463))
% 163.42/163.17 [6147]~P109(x61471)+E(f326(f326(f233(x61471),x61472),f17(x61471,x61473)),f17(x61471,x61473))+~P106(f326(f60(x61471),x61473))+~P106(f326(f326(f328(x61471),x61472),x61473))
% 163.42/163.17 [6186]E(x61861,x61862)+~P110(x61863)+~P106(f326(f326(f234(x61863),x61862),x61861))+~P106(f326(f326(f234(x61863),x61861),x61862))
% 163.42/163.17 [6335]~P107(x63351)+P106(f326(f326(f235(x63351),x63353),x63352))+~P106(f326(f326(f234(x63351),x63353),x63352))+P106(f326(f326(f234(x63351),x63352),x63353))
% 163.42/163.17 [6361]~P109(x63611)+~P106(f326(f60(x63611),x63613))+P106(f326(f326(f234(x63611),x63612),f17(x63611,x63613)))+~P106(f326(f326(f328(x63611),x63612),x63613))
% 163.42/163.17 [6408]~P109(x64081)+E(f326(f326(f188(x64081),x64082),f15(x64081,f233(x64081),x64083)),x64082)+~P106(f326(f60(x64081),x64083))+~P106(f326(f326(f328(x64081),x64082),x64083))
% 163.42/163.17 [6409]~P109(x64091)+E(f326(f326(f233(x64091),x64092),f14(x64091,f188(x64091),x64093)),x64092)+~P106(f326(f60(x64091),x64093))+~P106(f326(f326(f328(x64091),x64092),x64093))
% 163.42/163.17 [6553]E(x65531,x65532)+~E(f326(f326(f3(a920),x65531),x65533),f326(f326(f3(a920),x65532),x65533))+~P106(f326(f326(f234(a920),x65533),x65531))+~P106(f326(f326(f234(a920),x65533),x65532))
% 163.42/163.17 [6580]~P109(x65801)+~P106(f326(f60(x65801),x65802))+~P106(f326(f326(f328(x65801),x65803),x65802))+P106(f326(f326(f234(x65801),f16(x65801,x65802)),x65803))
% 163.42/163.17 [6642]P148(x66422,x66421,x66423)+E(x66421,f2(a1))+P106(f326(f326(f235(a1),x66421),f862(x66423,x66421,x66422)))+P106(f326(f326(f235(a1),f2(a1)),x66421))
% 163.42/163.17 [6643]P149(x66432,x66431,x66433)+E(x66431,f2(a1))+P106(f326(f326(f235(a1),x66431),f868(x66433,x66431,x66432)))+P106(f326(f326(f235(a1),f2(a1)),x66431))
% 163.42/163.17 [6644]~P109(x66441)+E(f326(f326(f188(x66441),x66442),f14(x66441,f188(x66441),x66443)),f14(x66441,f188(x66441),x66443))+~P106(f326(f60(x66441),x66443))+~P106(f326(f326(f328(x66441),x66442),x66443))
% 163.42/163.17 [6645]~P109(x66451)+E(f326(f326(f233(x66451),x66452),f15(x66451,f233(x66451),x66453)),f15(x66451,f233(x66451),x66453))+~P106(f326(f60(x66451),x66453))+~P106(f326(f326(f328(x66451),x66452),x66453))
% 163.42/163.17 [6650]~P106(f326(x66501,x66502))+P106(f326(x66501,f378(x66502,x66501,x66503)))+P106(f326(x66501,f2(a920)))+~P106(f326(f326(f235(a920),x66502),x66503))
% 163.42/163.17 [6708]~P106(f326(x67081,x67082))+~P106(f326(f60(x67083),x67082))+P106(f326(x67081,f493(x67081,x67082,x67083)))+P106(f326(x67081,f189(f928(x67083,a916))))
% 163.42/163.17 [6721]~P120(x67211)+~P94(x67211)+P106(f326(f326(f234(x67211),f326(f103(x67211),x67212)),f326(f103(x67211),x67213)))+~P106(f326(f326(f234(a1),x67212),x67213))
% 163.42/163.17 [6722]~P120(x67221)+~P94(x67221)+P106(f326(f326(f235(x67221),f326(f103(x67221),x67222)),f326(f103(x67221),x67223)))+~P106(f326(f326(f235(a1),x67222),x67223))
% 163.42/163.17 [6725]~P106(f326(x67251,x67253))+~P106(f326(f60(x67252),x67253))+P106(f326(f60(x67252),f493(x67251,x67253,x67252)))+P106(f326(x67251,f189(f928(x67252,a916))))
% 163.42/163.17 [6759]P148(x67591,x67592,x67593)+~P106(f326(x67591,x67593))+P106(f326(f326(f235(a1),x67592),f862(x67593,x67592,x67591)))+P106(f326(f326(f235(a1),f2(a1)),x67592))
% 163.42/163.17 [6796]P149(x67961,x67962,x67963)+P106(f326(f326(f235(a1),x67962),f868(x67963,x67962,x67961)))+~P106(f326(x67961,f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x67962))
% 163.42/163.17 [6826]~P108(x68261)+~P95(x68261)+E(f326(f326(f188(x68261),f326(f103(x68261),x68262)),f326(f103(x68261),x68263)),f326(f103(x68261),x68263))+P106(f326(f326(f234(x68261),f326(f103(x68261),x68262)),f326(f103(x68261),x68263)))
% 163.42/163.17 [6827]~P108(x68271)+~P95(x68271)+E(f326(f326(f233(x68271),f326(f103(x68271),x68272)),f326(f103(x68271),x68273)),f326(f103(x68271),x68272))+P106(f326(f326(f234(x68271),f326(f103(x68271),x68272)),f326(f103(x68271),x68273)))
% 163.42/163.17 [6885]P148(x68852,x68851,x68853)+E(x68851,f2(a1))+~P106(f326(x68852,f862(x68853,x68851,x68852)))+P106(f326(f326(f235(a1),f2(a1)),x68851))
% 163.42/163.17 [6886]P149(x68862,x68861,x68863)+E(x68861,f2(a1))+~P106(f326(x68862,f871(x68863,x68861,x68862)))+P106(f326(f326(f235(a1),f2(a1)),x68861))
% 163.42/163.17 [6890]P106(f326(x68901,x68902))+~P106(f326(f60(x68903),x68902))+P106(f326(x68901,f719(x68901,x68902,x68903)))+~P106(f326(x68901,f189(f928(x68903,a916))))
% 163.42/163.17 [6910]P106(f326(x69101,x69102))+P106(f326(f60(x69103),f719(x69101,x69102,x69103)))+~P106(f326(f60(x69103),x69102))+~P106(f326(x69101,f189(f928(x69103,a916))))
% 163.42/163.17 [6975]P148(x69751,x69752,x69753)+~P106(f326(x69751,x69753))+~P106(f326(x69751,f862(x69753,x69752,x69751)))+P106(f326(f326(f235(a1),f2(a1)),x69752))
% 163.42/163.17 [7005]P149(x70051,x70052,x70053)+~P106(f326(x70051,f871(x70053,x70052,x70051)))+~P106(f326(x70051,f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x70052))
% 163.42/163.17 [7112]~P94(x71123)+~P120(x71123)+~P106(f326(f326(f234(x71123),f326(f103(x71123),x71121)),f326(f103(x71123),x71122)))+P106(f326(f326(f234(a1),x71121),x71122))
% 163.42/163.17 [7113]~P94(x71133)+~P120(x71133)+~P106(f326(f326(f235(x71133),f326(f103(x71133),x71131)),f326(f103(x71133),x71132)))+P106(f326(f326(f235(a1),x71131),x71132))
% 163.42/163.17 [7141]~P109(x71411)+~P14(x71411,x71413)+P14(x71411,f326(f326(f151(x71411),x71412),x71413))+~P106(f326(f326(f234(x71411),x71412),f711(x71413,x71412,x71411)))
% 163.42/163.17 [7142]~P109(x71421)+~P14(x71421,x71423)+P14(x71421,f326(f326(f151(x71421),x71422),x71423))+~P106(f326(f326(f234(x71421),x71422),f714(x71423,x71422,x71421)))
% 163.42/163.17 [7143]~P109(x71431)+~P14(x71431,x71433)+P14(x71431,f326(f326(f151(x71431),x71432),x71433))+~P106(f326(f326(f234(x71431),x71432),f752(x71432,x71433,x71431)))
% 163.42/163.17 [7227]P148(x72272,x72271,x72273)+E(x72271,f2(a1))+P106(f326(f326(f235(a1),x72271),f2(a1)))+P106(f326(f326(f235(a1),f863(x72273,x72271,x72272)),x72271))
% 163.42/163.17 [7228]P149(x72282,x72281,x72283)+E(x72281,f2(a1))+P106(f326(f326(f235(a1),x72281),f2(a1)))+P106(f326(f326(f235(a1),f869(x72283,x72281,x72282)),x72281))
% 163.42/163.17 [7266]P148(x72662,x72661,x72663)+E(x72661,f2(a1))+P106(f326(f326(f234(a1),f862(x72663,x72661,x72662)),f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x72661))
% 163.42/163.17 [7267]P149(x72672,x72671,x72673)+E(x72671,f2(a1))+P106(f326(f326(f234(a1),f868(x72673,x72671,x72672)),f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x72671))
% 163.42/163.17 [7292]~P109(x72921)+~P14(x72921,x72923)+E(f326(f326(f148(x72921,x72921,f7(x72921)),x72922),f170(x72921,x72922,x72923)),x72923)+~P106(f326(f326(f328(x72921),x72922),f326(f172(x72921),x72923)))
% 163.42/163.17 [7339]P148(x73391,x73392,x73393)+~P106(f326(x73391,x73393))+P106(f326(f326(f235(a1),x73392),f2(a1)))+P106(f326(f326(f235(a1),f863(x73393,x73392,x73391)),x73392))
% 163.42/163.17 [7345]~P108(x73451)+~P95(x73451)+E(f326(f326(f188(x73451),f326(f103(x73451),x73452)),f326(f103(x73451),x73453)),f326(f103(x73451),x73452))+~P106(f326(f326(f234(x73451),f326(f103(x73451),x73452)),f326(f103(x73451),x73453)))
% 163.42/163.17 [7346]~P108(x73461)+~P95(x73461)+E(f326(f326(f233(x73461),f326(f103(x73461),x73462)),f326(f103(x73461),x73463)),f326(f103(x73461),x73463))+~P106(f326(f326(f234(x73461),f326(f103(x73461),x73462)),f326(f103(x73461),x73463)))
% 163.42/163.17 [7360]P149(x73601,x73602,x73603)+~P106(f326(x73601,f2(a1)))+P106(f326(f326(f235(a1),x73602),f2(a1)))+P106(f326(f326(f235(a1),f869(x73603,x73602,x73601)),x73602))
% 163.42/163.17 [7370]P148(x73701,x73702,x73703)+~P106(f326(x73701,x73703))+P106(f326(f326(f234(a1),f862(x73703,x73702,x73701)),f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x73702))
% 163.42/163.17 [7394]P149(x73941,x73942,x73943)+~P106(f326(x73941,f2(a1)))+P106(f326(f326(f234(a1),f868(x73943,x73942,x73941)),f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x73942))
% 163.42/163.17 [7422]~P106(f326(x74221,x74222))+P106(f326(x74221,f2(a920)))+~P106(f326(f326(f235(a920),x74222),x74223))+P106(f326(f326(f235(a920),f378(x74222,x74221,x74223)),x74223))
% 163.42/163.17 [7439]~P109(x74391)+~P14(x74391,x74393)+P14(x74391,f326(f326(f151(x74391),x74392),x74393))+P106(f326(f326(f328(x74391),f711(x74393,x74392,x74391)),f326(f172(x74391),x74393)))
% 163.42/163.17 [7440]~P109(x74401)+~P14(x74401,x74403)+P14(x74401,f326(f326(f151(x74401),x74402),x74403))+P106(f326(f326(f328(x74401),f714(x74403,x74402,x74401)),f326(f172(x74401),x74403)))
% 163.42/163.17 [7441]~P109(x74411)+~P14(x74411,x74413)+P14(x74411,f326(f326(f151(x74411),x74412),x74413))+P106(f326(f326(f328(x74411),f752(x74412,x74413,x74411)),f326(f172(x74411),x74413)))
% 163.42/163.17 [7554]~P109(x75541)+~P6(x75541)+~P106(f326(f326(f235(x75541),x75543),f36(x75541,x75542)))+P106(f326(f326(f328(x75541),f877(x75542,x75543,x75541)),x75542))
% 163.42/163.17 [7709]~P109(x77091)+~P6(x77091)+~P106(f326(f326(f235(x77091),f37(x77091,x77093)),x77092))+P106(f326(f326(f328(x77091),f383(x77092,x77093,x77091)),x77093))
% 163.42/163.17 [7710]~P109(x77101)+~P6(x77101)+~P106(f326(f326(f235(x77101),f37(x77101,x77103)),x77102))+P106(f326(f326(f235(x77101),f383(x77102,x77103,x77101)),x77102))
% 163.42/163.17 [7722]P148(x77222,x77221,x77223)+E(x77221,f2(a1))+P106(f326(f326(f235(a1),x77221),f862(x77223,x77221,x77222)))+P106(f326(f326(f235(a1),f863(x77223,x77221,x77222)),x77221))
% 163.42/163.17 [7723]P149(x77232,x77231,x77233)+E(x77231,f2(a1))+P106(f326(f326(f235(a1),x77231),f868(x77233,x77231,x77232)))+P106(f326(f326(f235(a1),f869(x77233,x77231,x77232)),x77231))
% 163.42/163.17 [7816]P148(x78163,x78161,x78162)+E(x78161,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x78161),f867(x78162,x78161,x78163))),f862(x78162,x78161,x78163)),x78162)+P106(f326(f326(f235(a1),f2(a1)),x78161))
% 163.42/163.17 [7817]P149(x78173,x78171,x78172)+E(x78171,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x78171),f871(x78172,x78171,x78173))),f868(x78172,x78171,x78173)),x78172)+P106(f326(f326(f235(a1),f2(a1)),x78171))
% 163.42/163.17 [7819]~P129(x78191)+~P106(f326(f326(f234(x78191),x78193),f2(x78191)))+P106(f326(f326(f234(x78191),f326(f326(f80(x78191),x78192),x78193)),f2(x78191)))+~P106(f326(f326(f234(x78191),f2(x78191)),x78192))
% 163.42/163.17 [7820]~P129(x78201)+~P106(f326(f326(f234(x78201),x78202),f2(x78201)))+P106(f326(f326(f234(x78201),f326(f326(f80(x78201),x78202),x78203)),f2(x78201)))+~P106(f326(f326(f234(x78201),f2(x78201)),x78203))
% 163.42/163.17 [7822]~P136(x78221)+~P106(f326(f326(f234(x78221),x78223),f2(x78221)))+P106(f326(f326(f234(x78221),f326(f326(f80(x78221),x78222),x78223)),f2(x78221)))+~P106(f326(f326(f234(x78221),f2(x78221)),x78222))
% 163.42/163.17 [7824]~P136(x78241)+~P106(f326(f326(f234(x78241),x78242),f2(x78241)))+P106(f326(f326(f234(x78241),f326(f326(f80(x78241),x78242),x78243)),f2(x78241)))+~P106(f326(f326(f234(x78241),f2(x78241)),x78243))
% 163.42/163.17 [7825]~P67(x78251)+~P106(f326(f326(f234(x78251),x78253),f2(x78251)))+P106(f326(f326(f234(x78251),f326(f326(f290(x78251),x78252),x78253)),f2(x78251)))+~P106(f326(f326(f234(x78251),f2(x78251)),x78252))
% 163.42/163.17 [7826]~P67(x78261)+~P106(f326(f326(f234(x78261),x78262),f2(x78261)))+P106(f326(f326(f234(x78261),f326(f326(f290(x78261),x78262),x78263)),f2(x78261)))+~P106(f326(f326(f234(x78261),f2(x78261)),x78263))
% 163.42/163.17 [7827]~P68(x78271)+~P106(f326(f326(f234(x78271),x78272),f2(x78271)))+P106(f326(f326(f234(x78271),f326(f326(f290(x78271),x78272),x78273)),f2(x78271)))+~P106(f326(f326(f235(x78271),f2(x78271)),x78273))
% 163.42/163.17 [7828]~P68(x78281)+~P106(f326(f326(f235(x78281),x78283),f2(x78281)))+P106(f326(f326(f234(x78281),f326(f326(f290(x78281),x78282),x78283)),f2(x78281)))+~P106(f326(f326(f234(x78281),f2(x78281)),x78282))
% 163.42/163.17 [7830]~P135(x78301)+~P106(f326(f326(f235(x78301),x78303),f2(x78301)))+P106(f326(f326(f235(x78301),f326(f326(f80(x78301),x78302),x78303)),f2(x78301)))+~P106(f326(f326(f235(x78301),f2(x78301)),x78302))
% 163.42/163.17 [7831]~P135(x78311)+~P106(f326(f326(f235(x78311),x78312),f2(x78311)))+P106(f326(f326(f235(x78311),f326(f326(f80(x78311),x78312),x78313)),f2(x78311)))+~P106(f326(f326(f235(x78311),f2(x78311)),x78313))
% 163.42/163.17 [7832]~P67(x78321)+~P106(f326(f326(f235(x78321),x78323),f2(x78321)))+P106(f326(f326(f235(x78321),f326(f326(f290(x78321),x78322),x78323)),f2(x78321)))+~P106(f326(f326(f235(x78321),f2(x78321)),x78322))
% 163.42/163.17 [7833]~P67(x78331)+~P106(f326(f326(f235(x78331),x78332),f2(x78331)))+P106(f326(f326(f235(x78331),f326(f326(f290(x78331),x78332),x78333)),f2(x78331)))+~P106(f326(f326(f235(x78331),f2(x78331)),x78333))
% 163.42/163.17 [7834]~P68(x78341)+~P106(f326(f326(f235(x78341),x78343),f2(x78341)))+P106(f326(f326(f235(x78341),f326(f326(f290(x78341),x78342),x78343)),f2(x78341)))+~P106(f326(f326(f235(x78341),f2(x78341)),x78342))
% 163.42/163.17 [7835]~P68(x78351)+~P106(f326(f326(f235(x78351),x78352),f2(x78351)))+P106(f326(f326(f235(x78351),f326(f326(f290(x78351),x78352),x78353)),f2(x78351)))+~P106(f326(f326(f235(x78351),f2(x78351)),x78353))
% 163.42/163.17 [7850]P148(x78501,x78502,x78503)+~P106(f326(x78501,x78503))+P106(f326(f326(f235(a1),x78502),f862(x78503,x78502,x78501)))+P106(f326(f326(f235(a1),f863(x78503,x78502,x78501)),x78502))
% 163.42/163.17 [7863]P149(x78631,x78632,x78633)+P106(f326(f326(f235(a1),x78632),f868(x78633,x78632,x78631)))+~P106(f326(x78631,f2(a1)))+P106(f326(f326(f235(a1),f869(x78633,x78632,x78631)),x78632))
% 163.42/163.17 [7914]P148(x79142,x79141,x79143)+E(x79141,f2(a1))+~P106(f326(x79142,f862(x79143,x79141,x79142)))+P106(f326(f326(f235(a1),f863(x79143,x79141,x79142)),x79141))
% 163.42/163.17 [7915]P149(x79152,x79151,x79153)+E(x79151,f2(a1))+~P106(f326(x79152,f871(x79153,x79151,x79152)))+P106(f326(f326(f235(a1),f869(x79153,x79151,x79152)),x79151))
% 163.42/163.17 [7925]P148(x79253,x79251,x79252)+~P106(f326(x79253,x79252))+E(f326(f326(f79(a1),f326(f326(f80(a1),x79251),f867(x79252,x79251,x79253))),f862(x79252,x79251,x79253)),x79252)+P106(f326(f326(f235(a1),f2(a1)),x79251))
% 163.42/163.17 [7940]P149(x79403,x79401,x79402)+E(f326(f326(f79(a1),f326(f326(f80(a1),x79401),f871(x79402,x79401,x79403))),f868(x79402,x79401,x79403)),x79402)+~P106(f326(x79403,f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x79401))
% 163.42/163.17 [7968]~P106(f326(x79681,x79683))+~P106(f326(f60(x79682),x79683))+P106(f326(f326(f328(x79682),f484(x79681,x79683,x79682)),f493(x79681,x79683,x79682)))+P106(f326(x79681,f189(f928(x79682,a916))))
% 163.42/163.17 [7979]P148(x79791,x79792,x79793)+~P106(f326(x79791,x79793))+~P106(f326(x79791,f862(x79793,x79792,x79791)))+P106(f326(f326(f235(a1),f863(x79793,x79792,x79791)),x79792))
% 163.42/163.17 [7985]P149(x79851,x79852,x79853)+~P106(f326(x79851,f871(x79853,x79852,x79851)))+~P106(f326(x79851,f2(a1)))+P106(f326(f326(f235(a1),f869(x79853,x79852,x79851)),x79852))
% 163.42/163.17 [8086]~P129(x80861)+~P106(f326(f326(f234(x80861),f326(f326(f80(x80861),x80863),x80862)),f2(x80861)))+P106(f326(f326(f234(x80861),x80862),f2(x80861)))+P106(f326(f326(f234(x80861),f2(x80861)),x80862))
% 163.42/163.17 [8087]~P129(x80871)+~P106(f326(f326(f234(x80871),f326(f326(f80(x80871),x80872),x80873)),f2(x80871)))+P106(f326(f326(f234(x80871),x80872),f2(x80871)))+P106(f326(f326(f234(x80871),f2(x80871)),x80872))
% 163.42/163.17 [8088]~P67(x80881)+~P106(f326(f326(f234(x80881),f326(f326(f290(x80881),x80883),x80882)),f2(x80881)))+P106(f326(f326(f234(x80881),x80882),f2(x80881)))+P106(f326(f326(f234(x80881),f2(x80881)),x80882))
% 163.42/163.17 [8089]~P67(x80891)+~P106(f326(f326(f234(x80891),f326(f326(f290(x80891),x80892),x80893)),f2(x80891)))+P106(f326(f326(f234(x80891),x80892),f2(x80891)))+P106(f326(f326(f234(x80891),f2(x80891)),x80892))
% 163.42/163.17 [8090]~P67(x80901)+~P106(f326(f326(f235(x80901),f326(f326(f290(x80901),x80903),x80902)),f2(x80901)))+P106(f326(f326(f235(x80901),x80902),f2(x80901)))+P106(f326(f326(f235(x80901),f2(x80901)),x80902))
% 163.42/163.17 [8091]~P67(x80911)+~P106(f326(f326(f235(x80911),f326(f326(f290(x80911),x80912),x80913)),f2(x80911)))+P106(f326(f326(f235(x80911),x80912),f2(x80911)))+P106(f326(f326(f235(x80911),f2(x80911)),x80912))
% 163.42/163.17 [8115]~P129(x81151)+~P106(f326(f326(f234(x81151),f326(f326(f80(x81151),x81152),x81153)),f2(x81151)))+P106(f326(f326(f234(x81151),f2(x81151)),x81152))+P106(f326(f326(f234(x81151),f2(x81151)),x81153))
% 163.42/163.17 [8116]~P67(x81161)+~P106(f326(f326(f234(x81161),f326(f326(f290(x81161),x81162),x81163)),f2(x81161)))+P106(f326(f326(f234(x81161),f2(x81161)),x81162))+P106(f326(f326(f234(x81161),f2(x81161)),x81163))
% 163.42/163.17 [8117]~P67(x81171)+~P106(f326(f326(f235(x81171),f326(f326(f290(x81171),x81172),x81173)),f2(x81171)))+P106(f326(f326(f235(x81171),f2(x81171)),x81172))+P106(f326(f326(f235(x81171),f2(x81171)),x81173))
% 163.42/163.17 [8139]P148(x81392,x81391,x81393)+E(x81391,f2(a1))+P106(f326(f326(f234(a1),f862(x81393,x81391,x81392)),f2(a1)))+P106(f326(f326(f235(a1),f863(x81393,x81391,x81392)),x81391))
% 163.42/163.17 [8140]P149(x81402,x81401,x81403)+E(x81401,f2(a1))+P106(f326(f326(f234(a1),f868(x81403,x81401,x81402)),f2(a1)))+P106(f326(f326(f235(a1),f869(x81403,x81401,x81402)),x81401))
% 163.42/163.17 [8147]~P127(x81471)+~P106(f326(f326(f235(x81471),x81472),f77(x81471)))+P106(f326(f326(f235(x81471),f326(f326(f243(x81471),x81472),f326(a112,x81473))),f77(x81471)))+~P106(f326(f326(f235(x81471),f2(x81471)),x81472))
% 163.42/163.17 [8201]~P109(x82011)+~E(x82013,f113(x82011))+~P14(x82011,f326(f168(x82011),x82013))+E(f326(f142(x82011,x82011,f326(f9(x82011,x82011,x82011),f233(x82011)),x82012),f326(f168(x82011),x82013)),x82012)
% 163.42/163.17 [8204]P148(x82041,x82042,x82043)+~P106(f326(x82041,x82043))+P106(f326(f326(f234(a1),f862(x82043,x82042,x82041)),f2(a1)))+P106(f326(f326(f235(a1),f863(x82043,x82042,x82041)),x82042))
% 163.42/163.17 [8211]P149(x82111,x82112,x82113)+~P106(f326(x82111,f2(a1)))+P106(f326(f326(f234(a1),f868(x82113,x82112,x82111)),f2(a1)))+P106(f326(f326(f235(a1),f869(x82113,x82112,x82111)),x82112))
% 163.42/163.17 [8428]P148(x84283,x84281,x84282)+E(x84281,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84281),f867(x84282,x84281,x84283))),f862(x84282,x84281,x84283)),x84282)+P106(f326(f326(f235(a1),f863(x84282,x84281,x84283)),x84281))
% 163.42/163.17 [8429]P149(x84293,x84291,x84292)+E(x84291,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84291),f871(x84292,x84291,x84293))),f868(x84292,x84291,x84293)),x84292)+P106(f326(f326(f235(a1),f869(x84292,x84291,x84293)),x84291))
% 163.42/163.17 [8464]P148(x84643,x84641,x84642)+~P106(f326(x84643,x84642))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84641),f867(x84642,x84641,x84643))),f862(x84642,x84641,x84643)),x84642)+P106(f326(f326(f235(a1),f863(x84642,x84641,x84643)),x84641))
% 163.42/163.17 [8465]~P72(x84651)+~P77(x84651)+~P42(x84653)+E(f326(f326(f8(a920,x84651),f326(f326(f10(a1,x84651,a920),x84652),f100(a1))),f326(f309(a1,a920,a104),x84653)),f326(f326(f8(a1,x84651),x84652),x84653))
% 163.42/163.17 [8466]~P72(x84661)+~P77(x84661)+~P42(x84663)+E(f326(f326(f11(a920,x84661),f326(f326(f10(a1,x84661,a920),x84662),f100(a1))),f326(f309(a1,a920,a104),x84663)),f326(f326(f11(a1,x84661),x84662),x84663))
% 163.42/163.17 [8475]P149(x84753,x84751,x84752)+E(f326(f326(f79(a1),f326(f326(f80(a1),x84751),f871(x84752,x84751,x84753))),f868(x84752,x84751,x84753)),x84752)+~P106(f326(x84753,f2(a1)))+P106(f326(f326(f235(a1),f869(x84752,x84751,x84753)),x84751))
% 163.42/163.17 [8497]~E(x84972,f2(a920))+~E(f326(f250(a920,a920),x84973),f2(a920))+~E(x84971,f326(f326(f79(a920),f326(f326(f80(a920),f326(f250(a920,a920),x84973)),x84972)),f326(f255(a920,a920),x84973)))+P106(f326(f47(x84971,x84972),x84973))
% 163.42/163.17 [8553]P106(f326(x85531,x85532))+~P106(f326(f326(f328(x85533),f712(x85531,x85532,x85533)),f719(x85531,x85532,x85533)))+~P106(f326(f60(x85533),x85532))+~P106(f326(x85531,f189(f928(x85533,a916))))
% 163.42/163.17 [9179]P106(f326(x91791,x91792))+~P106(f326(f60(x91793),x91792))+~P106(f326(x91791,f326(f326(f308(x91793),f712(x91791,x91792,x91793)),f719(x91791,x91792,x91793))))+~P106(f326(x91791,f189(f928(x91793,a916))))
% 163.42/163.17 [9409]P106(f326(f326(f234(a1),x94091),f2(a1)))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f80(a1),x94093),x94091)),x94092)),f2(a1)))+~P106(f326(f326(f234(a1),f2(a1)),x94092))+~P106(f326(f326(f235(a1),f2(a1)),x94093))
% 163.42/163.17 [6003]~P2(x60032)+E(x60031,f189(f928(x60032,a916)))+~P106(f326(f60(x60032),x60031))+E(f12(x60032,f326(f326(f308(x60032),x60033),x60031)),f326(f326(f110(x60032),x60033),f12(x60032,x60031)))
% 163.42/163.17 [6004]~P2(x60042)+E(x60041,f189(f928(x60042,a916)))+~P106(f326(f60(x60042),x60041))+E(f13(x60042,f326(f326(f308(x60042),x60043),x60041)),f326(f326(f101(x60042),x60043),f13(x60042,x60041)))
% 163.42/163.17 [6005]~P109(x60052)+E(x60051,f189(f928(x60052,a916)))+~P106(f326(f60(x60052),x60051))+E(f16(x60052,f326(f326(f308(x60052),x60053),x60051)),f326(f326(f188(x60052),x60053),f16(x60052,x60051)))
% 163.42/163.17 [6006]~P109(x60062)+E(x60061,f189(f928(x60062,a916)))+~P106(f326(f60(x60062),x60061))+E(f17(x60062,f326(f326(f308(x60062),x60063),x60061)),f326(f326(f233(x60062),x60063),f17(x60062,x60061)))
% 163.42/163.17 [6331]~P129(x63311)+~E(x63313,f2(x63311))+~E(x63312,f2(x63311))+E(f326(f326(f79(x63311),f326(f326(f80(x63311),x63312),x63312)),f326(f326(f80(x63311),x63313),x63313)),f2(x63311))
% 163.42/163.17 [6401]~P97(x64012)+E(x64011,f189(f928(x64012,a916)))+~P106(f326(f60(x64012),x64011))+E(f326(f62(x64012,f80(x64012)),f326(f326(f308(x64012),x64013),x64011)),f326(f326(f80(x64012),x64013),f326(f62(x64012,f80(x64012)),x64011)))
% 163.42/163.17 [6529]~P109(x65292)+E(x65291,f189(f928(x65292,a916)))+~P106(f326(f60(x65292),x65291))+E(f14(x65292,f188(x65292),f326(f326(f308(x65292),x65293),x65291)),f326(f326(f188(x65292),x65293),f14(x65292,f188(x65292),x65291)))
% 163.42/163.17 [6530]~P109(x65302)+E(x65301,f189(f928(x65302,a916)))+~P106(f326(f60(x65302),x65301))+E(f15(x65302,f233(x65302),f326(f326(f308(x65302),x65303),x65301)),f326(f326(f233(x65302),x65303),f15(x65302,f233(x65302),x65301)))
% 163.42/163.17 [7039]~P70(x70391)+~P106(f326(f60(x70391),x70393))+E(f326(f62(x70391,f80(x70391)),f326(f326(f308(x70391),x70392),x70393)),f326(f326(f63(x70391,x70391,f80(x70391)),x70392),x70393))+P106(f326(f326(f328(x70391),x70392),x70393))
% 163.42/163.17 [7119]~E(f326(f326(f79(a1),x71192),f326(f326(f80(a1),x71193),x71191)),x71193)+~P106(f326(f326(f235(a1),f2(a1)),x71193))+P106(f326(f326(f234(a1),f77(a1)),x71191))+~P106(f326(f326(f235(a1),x71192),x71193))
% 163.42/163.17 [7148]~E(f326(f326(f79(a1),x71482),f326(f326(f80(a1),x71483),x71481)),x71483)+P106(f326(f326(f234(a1),x71481),f77(a1)))+~P106(f326(f326(f234(a1),f2(a1)),x71482))+~P106(f326(f326(f235(a1),f2(a1)),x71483))
% 163.42/163.17 [7165]E(x71651,f2(a920))+~P106(f326(f47(x71653,x71651),x71652))+~P106(f326(f326(f235(a920),f2(a920)),x71651))+P106(f326(f326(f235(a920),f326(f255(a920,a920),x71652)),x71651))
% 163.42/163.17 [7195]~P139(x71951)+~P106(f326(f326(f234(x71951),x71952),f2(x71951)))+~P106(f326(f326(f234(x71951),x71953),f2(x71951)))+E(f326(f326(f80(x71951),f326(f75(x71951),x71952)),f326(f75(x71951),x71953)),f326(f75(x71951),f326(f326(f80(x71951),x71952),x71953)))
% 163.42/163.17 [7243]~P139(x72431)+~P106(f326(f326(f234(x72431),x72432),f2(x72431)))+E(f326(f326(f80(x72431),f326(f75(x72431),x72432)),f326(f75(x72431),x72433)),f326(f75(x72431),f326(f326(f80(x72431),x72432),x72433)))+~P106(f326(f326(f234(x72431),f2(x72431)),x72433))
% 163.42/163.17 [7244]~P139(x72441)+~P106(f326(f326(f234(x72441),x72443),f2(x72441)))+E(f326(f326(f80(x72441),f326(f75(x72441),x72442)),f326(f75(x72441),x72443)),f326(f75(x72441),f326(f326(f80(x72441),x72442),x72443)))+~P106(f326(f326(f234(x72441),f2(x72441)),x72442))
% 163.42/163.17 [7300]~P139(x73001)+E(f326(f326(f80(x73001),f326(f75(x73001),x73002)),f326(f75(x73001),x73003)),f326(f75(x73001),f326(f326(f80(x73001),x73002),x73003)))+~P106(f326(f326(f234(x73001),f2(x73001)),x73002))+~P106(f326(f326(f234(x73001),f2(x73001)),x73003))
% 163.42/163.17 [7317]~P112(x73171)+~P106(f326(f326(f234(x73171),x73173),f2(x73171)))+~P106(f326(f326(f234(x73171),x73172),f2(x73171)))+P106(f326(f326(f234(x73171),f2(x73171)),f326(f326(f80(x73171),x73172),x73173)))
% 163.42/163.17 [7318]~P129(x73181)+~P106(f326(f326(f234(x73181),x73183),f2(x73181)))+~P106(f326(f326(f234(x73181),x73182),f2(x73181)))+P106(f326(f326(f234(x73181),f2(x73181)),f326(f326(f80(x73181),x73182),x73183)))
% 163.42/163.17 [7319]~P67(x73191)+~P106(f326(f326(f234(x73191),x73193),f2(x73191)))+~P106(f326(f326(f234(x73191),x73192),f2(x73191)))+P106(f326(f326(f234(x73191),f2(x73191)),f326(f326(f290(x73191),x73192),x73193)))
% 163.42/163.17 [7320]~P68(x73201)+~P106(f326(f326(f235(x73201),x73203),f2(x73201)))+~P106(f326(f326(f234(x73201),x73202),f2(x73201)))+P106(f326(f326(f234(x73201),f2(x73201)),f326(f326(f290(x73201),x73202),x73203)))
% 163.42/163.17 [7321]~P129(x73211)+~P106(f326(f326(f235(x73211),x73213),f2(x73211)))+~P106(f326(f326(f235(x73211),x73212),f2(x73211)))+P106(f326(f326(f235(x73211),f2(x73211)),f326(f326(f80(x73211),x73212),x73213)))
% 163.42/163.17 [7322]~P67(x73221)+~P106(f326(f326(f235(x73221),x73223),f2(x73221)))+~P106(f326(f326(f235(x73221),x73222),f2(x73221)))+P106(f326(f326(f235(x73221),f2(x73221)),f326(f326(f290(x73221),x73222),x73223)))
% 163.42/163.17 [7323]~P68(x73231)+~P106(f326(f326(f235(x73231),x73233),f2(x73231)))+~P106(f326(f326(f235(x73231),x73232),f2(x73231)))+P106(f326(f326(f235(x73231),f2(x73231)),f326(f326(f290(x73231),x73232),x73233)))
% 163.42/163.17 [7324]~P127(x73241)+~P106(f326(f326(f235(a920),f2(a920)),x73243))+~P106(f326(f326(f235(x73241),f77(x73241)),x73242))+P106(f326(f326(f235(x73241),f77(x73241)),f326(f326(f243(x73241),x73242),x73243)))
% 163.42/163.17 [7423]~P112(x74231)+~P106(f326(f326(f234(x74231),f2(x74231)),x74233))+~P106(f326(f326(f234(x74231),f2(x74231)),x74232))+P106(f326(f326(f234(x74231),f2(x74231)),f326(f326(f80(x74231),x74232),x74233)))
% 163.42/163.17 [7424]~P129(x74241)+~P106(f326(f326(f234(x74241),f2(x74241)),x74243))+~P106(f326(f326(f234(x74241),f2(x74241)),x74242))+P106(f326(f326(f234(x74241),f2(x74241)),f326(f326(f80(x74241),x74242),x74243)))
% 163.42/163.17 [7425]~P136(x74251)+~P106(f326(f326(f234(x74251),f2(x74251)),x74253))+~P106(f326(f326(f234(x74251),f2(x74251)),x74252))+P106(f326(f326(f234(x74251),f2(x74251)),f326(f326(f80(x74251),x74252),x74253)))
% 163.42/163.17 [7427]~P67(x74271)+~P106(f326(f326(f234(x74271),f2(x74271)),x74273))+~P106(f326(f326(f234(x74271),f2(x74271)),x74272))+P106(f326(f326(f234(x74271),f2(x74271)),f326(f326(f290(x74271),x74272),x74273)))
% 163.42/163.17 [7428]~P68(x74281)+~P106(f326(f326(f235(x74281),f2(x74281)),x74283))+~P106(f326(f326(f234(x74281),f2(x74281)),x74282))+P106(f326(f326(f234(x74281),f2(x74281)),f326(f326(f290(x74281),x74282),x74283)))
% 163.42/163.17 [7429]~P127(x74291)+~P106(f326(f326(f235(x74291),f77(x74291)),x74293))+~P106(f326(f326(f235(x74291),f77(x74291)),x74292))+P106(f326(f326(f235(x74291),f77(x74291)),f326(f326(f80(x74291),x74292),x74293)))
% 163.42/163.17 [7430]~P135(x74301)+~P106(f326(f326(f235(x74301),f2(x74301)),x74303))+~P106(f326(f326(f235(x74301),f2(x74301)),x74302))+P106(f326(f326(f235(x74301),f2(x74301)),f326(f326(f80(x74301),x74302),x74303)))
% 163.42/163.17 [7433]~P89(x74331)+~P106(f326(f326(f235(x74331),f2(x74331)),x74333))+~P106(f326(f326(f235(x74331),f2(x74331)),x74332))+P106(f326(f326(f235(x74331),f2(x74331)),f326(f326(f79(x74331),x74332),x74333)))
% 163.42/163.17 [7434]~P67(x74341)+~P106(f326(f326(f235(x74341),f2(x74341)),x74343))+~P106(f326(f326(f235(x74341),f2(x74341)),x74342))+P106(f326(f326(f235(x74341),f2(x74341)),f326(f326(f290(x74341),x74342),x74343)))
% 163.42/163.17 [7435]~P68(x74351)+~P106(f326(f326(f235(x74351),f2(x74351)),x74353))+~P106(f326(f326(f235(x74351),f2(x74351)),x74352))+P106(f326(f326(f235(x74351),f2(x74351)),f326(f326(f290(x74351),x74352),x74353)))
% 163.42/163.17 [7514]~P2(x75141)+~P106(f326(f60(x75141),x75143))+E(f12(x75141,f326(f326(f308(x75141),x75142),x75143)),x75142)+~E(f326(f326(f3(f928(x75141,a916)),x75143),f326(f326(f308(x75141),x75142),f189(f928(x75141,a916)))),f189(f928(x75141,a916)))
% 163.42/163.17 [7515]~P2(x75151)+~P106(f326(f60(x75151),x75153))+E(f13(x75151,f326(f326(f308(x75151),x75152),x75153)),x75152)+~E(f326(f326(f3(f928(x75151,a916)),x75153),f326(f326(f308(x75151),x75152),f189(f928(x75151,a916)))),f189(f928(x75151,a916)))
% 163.42/163.17 [7516]~P109(x75161)+~P106(f326(f60(x75161),x75163))+E(f16(x75161,f326(f326(f308(x75161),x75162),x75163)),x75162)+~E(f326(f326(f3(f928(x75161,a916)),x75163),f326(f326(f308(x75161),x75162),f189(f928(x75161,a916)))),f189(f928(x75161,a916)))
% 163.42/163.17 [7517]~P109(x75171)+~P106(f326(f60(x75171),x75173))+E(f17(x75171,f326(f326(f308(x75171),x75172),x75173)),x75172)+~E(f326(f326(f3(f928(x75171,a916)),x75173),f326(f326(f308(x75171),x75172),f189(f928(x75171,a916)))),f189(f928(x75171,a916)))
% 163.42/163.17 [7519]~P129(x75191)+P106(f326(f326(f234(x75191),x75192),f2(x75191)))+P106(f326(f326(f234(x75191),f2(x75191)),x75193))+~P106(f326(f326(f234(x75191),f2(x75191)),f326(f326(f80(x75191),x75193),x75192)))
% 163.42/163.17 [7520]~P129(x75201)+P106(f326(f326(f234(x75201),x75202),f2(x75201)))+P106(f326(f326(f234(x75201),f2(x75201)),x75203))+~P106(f326(f326(f234(x75201),f2(x75201)),f326(f326(f80(x75201),x75202),x75203)))
% 163.42/163.17 [7521]~P67(x75211)+P106(f326(f326(f234(x75211),x75212),f2(x75211)))+P106(f326(f326(f234(x75211),f2(x75211)),x75213))+~P106(f326(f326(f234(x75211),f2(x75211)),f326(f326(f290(x75211),x75213),x75212)))
% 163.42/163.17 [7522]~P67(x75221)+P106(f326(f326(f234(x75221),x75222),f2(x75221)))+P106(f326(f326(f234(x75221),f2(x75221)),x75223))+~P106(f326(f326(f234(x75221),f2(x75221)),f326(f326(f290(x75221),x75222),x75223)))
% 163.42/163.17 [7523]~P129(x75231)+P106(f326(f326(f234(x75231),x75232),f2(x75231)))+P106(f326(f326(f234(x75231),f2(x75231)),x75232))+~P106(f326(f326(f234(x75231),f2(x75231)),f326(f326(f80(x75231),x75233),x75232)))
% 163.42/163.17 [7524]~P129(x75241)+P106(f326(f326(f234(x75241),x75242),f2(x75241)))+P106(f326(f326(f234(x75241),f2(x75241)),x75242))+~P106(f326(f326(f234(x75241),f2(x75241)),f326(f326(f80(x75241),x75242),x75243)))
% 163.42/163.17 [7525]~P67(x75251)+P106(f326(f326(f234(x75251),x75252),f2(x75251)))+P106(f326(f326(f234(x75251),f2(x75251)),x75252))+~P106(f326(f326(f234(x75251),f2(x75251)),f326(f326(f290(x75251),x75253),x75252)))
% 163.42/163.17 [7526]~P67(x75261)+P106(f326(f326(f234(x75261),x75262),f2(x75261)))+P106(f326(f326(f234(x75261),f2(x75261)),x75262))+~P106(f326(f326(f234(x75261),f2(x75261)),f326(f326(f290(x75261),x75262),x75263)))
% 163.42/163.17 [7527]~P67(x75271)+P106(f326(f326(f235(x75271),x75272),f2(x75271)))+P106(f326(f326(f235(x75271),f2(x75271)),x75273))+~P106(f326(f326(f235(x75271),f2(x75271)),f326(f326(f290(x75271),x75273),x75272)))
% 163.42/163.17 [7528]~P67(x75281)+P106(f326(f326(f235(x75281),x75282),f2(x75281)))+P106(f326(f326(f235(x75281),f2(x75281)),x75283))+~P106(f326(f326(f235(x75281),f2(x75281)),f326(f326(f290(x75281),x75282),x75283)))
% 163.42/163.17 [7529]~P67(x75291)+P106(f326(f326(f235(x75291),x75292),f2(x75291)))+P106(f326(f326(f235(x75291),f2(x75291)),x75292))+~P106(f326(f326(f235(x75291),f2(x75291)),f326(f326(f290(x75291),x75293),x75292)))
% 163.42/163.17 [7530]~P67(x75301)+P106(f326(f326(f235(x75301),x75302),f2(x75301)))+P106(f326(f326(f235(x75301),f2(x75301)),x75302))+~P106(f326(f326(f235(x75301),f2(x75301)),f326(f326(f290(x75301),x75302),x75303)))
% 163.42/163.17 [7615]~E(f326(f326(f101(f928(x76151,a916)),f326(f172(x76151),x76152)),f326(f172(x76151),x76153)),f189(f928(x76151,a916)))+~P106(f326(f137(x76151),x76153))+~P106(f326(f137(x76151),x76152))+P106(f326(f137(x76151),f326(f326(f134(x76151),x76152),x76153)))
% 163.42/163.17 [7616]~P109(x76161)+~P106(f326(f60(x76161),x76163))+E(f14(x76161,f188(x76161),f326(f326(f308(x76161),x76162),x76163)),x76162)+~E(f326(f326(f3(f928(x76161,a916)),x76163),f326(f326(f308(x76161),x76162),f189(f928(x76161,a916)))),f189(f928(x76161,a916)))
% 163.42/163.17 [7617]~P109(x76171)+~P106(f326(f60(x76171),x76173))+E(f15(x76171,f233(x76171),f326(f326(f308(x76171),x76172),x76173)),x76172)+~E(f326(f326(f3(f928(x76171,a916)),x76173),f326(f326(f308(x76171),x76172),f189(f928(x76171,a916)))),f189(f928(x76171,a916)))
% 163.42/163.17 [7631]~P87(x76311)+~P106(f326(f326(f234(x76311),x76312),x76313))+~P106(f326(f326(f234(x76311),f326(f78(x76311),x76312)),x76313))+P106(f326(f326(f234(x76311),f326(f75(x76311),x76312)),x76313))
% 163.42/163.17 [7632]~P120(x76321)+~P106(f326(f326(f235(x76321),x76322),x76323))+~P106(f326(f326(f235(x76321),f326(f78(x76321),x76322)),x76323))+P106(f326(f326(f235(x76321),f326(f75(x76321),x76322)),x76323))
% 163.42/163.17 [7699]~P135(x76991)+P106(f326(f326(f235(x76991),f2(x76991)),x76992))+~P106(f326(f326(f235(x76991),f2(x76991)),x76993))+~P106(f326(f326(f235(x76991),f2(x76991)),f326(f326(f80(x76991),x76993),x76992)))
% 163.42/163.17 [7700]~P135(x77001)+P106(f326(f326(f235(x77001),f2(x77001)),x77002))+~P106(f326(f326(f235(x77001),f2(x77001)),x77003))+~P106(f326(f326(f235(x77001),f2(x77001)),f326(f326(f80(x77001),x77002),x77003)))
% 163.42/163.17 [7999]E(x79991,x79992)+~P106(f326(f60(x79993),x79991))+~P106(f326(f326(f234(a920),f326(f34(x79993),x79991)),f326(f34(x79993),x79992)))+~P106(f326(f326(f234(f928(x79993,a916)),x79992),x79991))
% 163.42/163.17 [8144]~P106(f326(f326(f235(a1),x81441),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x81442))+~P106(f326(f326(f234(a1),x81442),x81443))+P106(f326(f326(f234(a1),f326(f326(f35(a1),x81441),x81442)),f326(f326(f35(a1),x81441),x81443)))
% 163.42/163.17 [8154]~P106(f326(f326(f234(a1),f2(a1)),x81541))+~P106(f326(f326(f235(a1),f2(a1)),x81543))+~P106(f326(f326(f234(a1),x81543),x81542))+P106(f326(f326(f234(a1),f326(f326(f35(a1),x81541),x81542)),f326(f326(f35(a1),x81541),x81543)))
% 163.42/163.17 [8289]E(f326(x82891,f356(x82892,x82891,x82893)),x82892)+~P106(f326(f326(f234(a1),x82892),f326(x82891,x82893)))+P106(f326(f326(f235(a920),f357(x82892,x82891,x82893)),x82893))+~P106(f326(f326(f234(a1),f326(x82891,f2(a920))),x82892))
% 163.42/163.17 [8290]E(f326(x82901,f359(x82902,x82901,x82903)),x82902)+~P106(f326(f326(f234(a1),x82902),f326(x82901,x82903)))+P106(f326(f326(f235(a920),f360(x82902,x82901,x82903)),x82903))+~P106(f326(f326(f234(a1),f326(x82901,f2(a920))),x82902))
% 163.42/163.17 [8391]~P106(f326(f60(x83911),x83913))+~P106(f326(f326(f235(a920),f326(f34(x83911),x83912)),f326(f34(x83911),x83913)))+~P106(f326(f326(f234(f928(x83911,a916)),x83912),x83913))+P106(f326(f326(f235(f928(x83911,a916)),x83912),x83913))
% 163.42/163.17 [8418]E(f326(f326(f79(a1),f456(x84183,x84181,x84182)),f457(x84183,x84181,x84182)),x84181)+E(f326(f326(f3(a1),x84181),x84182),x84181)+~P106(f326(f326(f235(a1),f2(a1)),x84182))+~P106(f326(f326(f328(a1),f326(f326(f3(a1),x84181),f77(a1))),x84183))
% 163.42/163.17 [8419]E(f326(f326(f3(a1),f464(x84193,x84191,x84192)),f465(x84193,x84191,x84192)),x84191)+E(f326(f326(f79(a1),x84191),x84192),x84191)+~P106(f326(f326(f235(a1),f2(a1)),x84192))+~P106(f326(f326(f328(a1),f326(f326(f79(a1),x84191),f77(a1))),x84193))
% 163.42/163.17 [8470]~P106(f326(f326(f234(a920),x84703),x84701))+P106(f326(f326(f234(a920),x84701),x84702))+~P106(f326(f326(f234(a920),x84703),x84702))+~P106(f326(f326(f234(a920),f326(f326(f3(a920),x84701),x84703)),f326(f326(f3(a920),x84702),x84703)))
% 163.42/163.17 [8471]~P106(f326(f326(f234(a920),x84713),x84711))+P106(f326(f326(f235(a920),x84711),x84712))+~P106(f326(f326(f234(a920),x84713),x84712))+~P106(f326(f326(f235(a920),f326(f326(f3(a920),x84711),x84713)),f326(f326(f3(a920),x84712),x84713)))
% 163.42/163.17 [8490]~P109(x84902)+E(x84901,f113(x84902))+~P14(x84902,f326(f168(x84902),x84901))+E(f326(f142(x84902,x84902,f326(f9(x84902,x84902,x84902),f233(x84902)),x84903),f326(f168(x84902),x84901)),f326(f326(f233(x84902),f326(f326(f164(x84902),x84901),f2(a920))),x84903))
% 163.42/163.17 [8558]E(f326(f326(f3(a1),x85581),x85582),x85581)+~P106(f326(f326(f235(a1),f2(a1)),x85582))+P106(f326(f326(f328(a1),f456(x85583,x85581,x85582)),x85583))+~P106(f326(f326(f328(a1),f326(f326(f3(a1),x85581),f77(a1))),x85583))
% 163.42/163.17 [8559]E(f326(f326(f79(a1),x85591),x85592),x85591)+~P106(f326(f326(f235(a1),f2(a1)),x85592))+P106(f326(f326(f328(a1),f464(x85593,x85591,x85592)),x85593))+~P106(f326(f326(f328(a1),f326(f326(f79(a1),x85591),f77(a1))),x85593))
% 163.42/163.17 [8630]~P106(f326(f326(f234(a1),x86301),f326(x86302,x86303)))+P106(f326(f326(f235(a920),f357(x86301,x86302,x86303)),x86303))+P106(f326(f326(f234(a920),f356(x86301,x86302,x86303)),x86303))+~P106(f326(f326(f234(a1),f326(x86302,f2(a920))),x86301))
% 163.42/163.17 [8631]~P106(f326(f326(f234(a1),x86311),f326(x86312,x86313)))+P106(f326(f326(f235(a920),f360(x86311,x86312,x86313)),x86313))+P106(f326(f326(f234(a920),f359(x86311,x86312,x86313)),x86313))+~P106(f326(f326(f234(a1),f326(x86312,f2(a920))),x86311))
% 163.42/163.17 [8703]E(f326(f326(f3(a1),x87031),x87032),x87031)+~P106(f326(f326(f235(a1),f2(a1)),x87032))+P106(f326(f326(f328(a1),f457(x87033,x87031,x87032)),f302(a1,f77(a1),x87032)))+~P106(f326(f326(f328(a1),f326(f326(f3(a1),x87031),f77(a1))),x87033))
% 163.42/163.17 [8704]E(f326(f326(f79(a1),x87041),x87042),x87041)+~P106(f326(f326(f235(a1),f2(a1)),x87042))+P106(f326(f326(f328(a1),f465(x87043,x87041,x87042)),f302(a1,f77(a1),x87042)))+~P106(f326(f326(f328(a1),f326(f326(f79(a1),x87041),f77(a1))),x87043))
% 163.42/163.17 [8839]~P127(x88391)+~P106(f326(f326(f235(x88391),x88392),f77(x88391)))+~P106(f326(f326(f235(x88391),f2(x88391)),x88392))+P106(f326(f326(f235(x88391),f326(f326(f80(x88391),x88392),f326(f326(f243(x88391),x88392),x88393))),f326(f326(f243(x88391),x88392),x88393)))
% 163.42/163.17 [8933]~P106(f326(x89331,x89332))+P106(f326(x89331,f2(a920)))+~P106(f326(f326(f235(a920),x89332),x89333))+~P106(f326(x89331,f44(a920,f326(a112,f378(x89332,x89331,x89333)),x89333)))
% 163.42/163.17 [9085]E(f394(x90851,x90852,x90853),f2(a920))+P106(f326(f326(x90851,x90853),x90852))+P106(f326(f326(x90851,f394(x90851,x90852,x90853)),f44(a920,f393(x90851,x90852,x90853),f394(x90851,x90852,x90853))))+~P106(f326(f314(f927(a920,a920),a220),f326(f326(f251(a920,a920),x90853),x90852)))
% 163.42/163.17 [9121]~P26(x91211,x91211,x91212,x91213)+E(f326(f309(x91211,x91211,x91212),x91213),x91213)+~P106(f326(f60(x91211),x91213))+~P106(f326(f326(f234(f928(x91211,a916)),f326(f309(x91211,x91211,x91212),x91213)),x91213))
% 163.42/163.17 [9336]P106(f326(f326(x93361,x93362),x93363))+P106(f326(f326(f235(a1),f772(x93361,x93363,x93362)),f773(x93361,x93363,x93362)))+P106(f326(f326(x93361,f772(x93361,x93363,x93362)),f326(f326(f79(a1),f773(x93361,x93363,x93362)),f77(a1))))+~P106(f326(f314(f927(a1,a1),a133),f326(f326(f251(a1,a1),x93362),x93363)))
% 163.42/163.17 [9353]P106(f326(f326(x93531,x93532),x93533))+~P106(f326(f326(f235(a1),f404(x93531,x93533,x93532)),f2(a1)))+P106(f326(f326(x93531,f326(f78(a1),f402(x93531,x93533,x93532))),f326(f78(a1),f404(x93531,x93533,x93532))))+~P106(f326(f314(f927(a1,a1),a222),f326(f326(f251(a1,a1),x93532),x93533)))
% 163.42/163.17 [9542]P106(f326(f326(x95421,x95422),x95423))+P106(f326(f326(x95421,f326(f326(f79(a1),f676(x95421,x95423,x95422)),f77(a1))),f679(x95421,x95423,x95422)))+~P106(f326(f326(f234(a1),f676(x95421,x95423,x95422)),f679(x95421,x95423,x95422)))+~P106(f326(f314(f927(a1,a1),a182),f326(f326(f251(a1,a1),x95422),x95423)))
% 163.42/163.17 [9983]~P64(x99832)+~P64(x99831)+~P106(f326(f55(f927(x99831,x99832)),x99833))+P106(f326(f55(x99831),f326(f326(f10(f928(x99832,a916),a916,x99831),f55(x99832)),f326(f326(f10(f928(x99832,f927(x99831,x99832)),f928(x99832,a916),x99831),f326(f10(f927(x99831,x99832),a916,x99832),x99833)),f251(x99831,x99832)))))
% 163.42/163.17 [9984]~P64(x99842)+~P64(x99841)+~P106(f326(f56(f927(x99841,x99842)),x99843))+P106(f326(f56(x99841),f326(f326(f10(f928(x99842,a916),a916,x99841),f56(x99842)),f326(f326(f10(f928(x99842,f927(x99841,x99842)),f928(x99842,a916),x99841),f326(f10(f927(x99841,x99842),a916,x99842),x99843)),f251(x99841,x99842)))))
% 163.42/163.17 [10079]~P64(x100792)+~P64(x100791)+P106(f326(f55(f927(x100791,x100792)),x100793))+~P106(f326(f55(x100791),f326(f326(f10(f928(x100792,a916),a916,x100791),f55(x100792)),f326(f326(f10(f928(x100792,f927(x100791,x100792)),f928(x100792,a916),x100791),f326(f10(f927(x100791,x100792),a916,x100792),x100793)),f251(x100791,x100792)))))
% 163.42/163.17 [10080]~P64(x100802)+~P64(x100801)+P106(f326(f56(f927(x100801,x100802)),x100803))+~P106(f326(f56(x100801),f326(f326(f10(f928(x100802,a916),a916,x100801),f56(x100802)),f326(f326(f10(f928(x100802,f927(x100801,x100802)),f928(x100802,a916),x100801),f326(f10(f927(x100801,x100802),a916,x100802),x100803)),f251(x100801,x100802)))))
% 163.42/163.17 [10254]E(f326(x102541,f356(x102542,x102541,x102543)),x102542)+~P106(f326(f326(f234(a1),x102542),f326(x102541,x102543)))+~P106(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x102541,f326(f326(f79(a920),f357(x102542,x102541,x102543)),f77(a920)))),f326(x102541,f357(x102542,x102541,x102543))))),f77(a1)))+~P106(f326(f326(f234(a1),f326(x102541,f2(a920))),x102542))
% 163.42/163.17 [10255]E(f326(x102551,f359(x102552,x102551,x102553)),x102552)+~P106(f326(f326(f234(a1),x102552),f326(x102551,x102553)))+~P106(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x102551,f326(f326(f79(a920),f360(x102552,x102551,x102553)),f77(a920)))),f326(x102551,f360(x102552,x102551,x102553))))),f77(a1)))+~P106(f326(f326(f234(a1),f326(x102551,f2(a920))),x102552))
% 163.42/163.17 [10258]~P106(f326(f326(f234(a1),x102581),f326(x102582,x102583)))+~P106(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x102582,f326(f326(f79(a920),f357(x102581,x102582,x102583)),f77(a920)))),f326(x102582,f357(x102581,x102582,x102583))))),f77(a1)))+P106(f326(f326(f234(a920),f356(x102581,x102582,x102583)),x102583))+~P106(f326(f326(f234(a1),f326(x102582,f2(a920))),x102581))
% 163.42/163.17 [10259]~P106(f326(f326(f234(a1),x102591),f326(x102592,x102593)))+~P106(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x102592,f326(f326(f79(a920),f360(x102591,x102592,x102593)),f77(a920)))),f326(x102592,f360(x102591,x102592,x102593))))),f77(a1)))+P106(f326(f326(f234(a920),f359(x102591,x102592,x102593)),x102593))+~P106(f326(f326(f234(a1),f326(x102592,f2(a920))),x102591))
% 163.42/163.17 [10318]E(x103181,x103182)+~E(f326(f142(f921(x103183),f921(x103183),f134(x103183),f113(x103183)),x103181),f326(f142(f921(x103183),f921(x103183),f134(x103183),f113(x103183)),x103182))+~E(f326(f190(f921(f921(x103183))),x103181),f326(f190(f921(f921(x103183))),x103182))+~P106(f326(f326(f256(f921(x103183),f921(x103183),a916),f326(f326(f9(f921(x103183),f928(f921(x103183),a920),f928(f921(x103183),a916)),f326(f326(f10(f928(a920,a916),f928(f928(f921(x103183),a920),f928(f921(x103183),a916)),f921(x103183)),f10(a920,a916,f921(x103183))),f326(f326(f10(a920,f928(a920,a916),f921(x103183)),a323),f190(f921(x103183))))),f190(f921(x103183)))),f704(x103182,x103181,x103183)))
% 163.42/163.17 [10319]E(x103191,x103192)+~E(f326(f142(f921(x103193),f921(x103193),f134(x103193),f113(x103193)),x103191),f326(f142(f921(x103193),f921(x103193),f134(x103193),f113(x103193)),x103192))+~E(f326(f190(f921(f921(x103193))),x103191),f326(f190(f921(f921(x103193))),x103192))+~P106(f326(f326(f256(f921(x103193),f921(x103193),a916),f326(f326(f9(f921(x103193),f928(f921(x103193),a920),f928(f921(x103193),a916)),f326(f326(f10(f928(a920,a916),f928(f928(f921(x103193),a920),f928(f921(x103193),a916)),f921(x103193)),f10(a920,a916,f921(x103193))),f326(f326(f10(a920,f928(a920,a916),f921(x103193)),a323),f190(f921(x103193))))),f190(f921(x103193)))),f705(x103191,x103192,x103193)))
% 163.42/163.17 [7027]~E(f77(a920),f2(a920))+~P106(f326(f60(x70271),x70273))+~P106(f326(f60(x70271),x70272))+E(f326(f326(f79(a920),f326(f34(x70271),x70272)),f326(f34(x70271),x70273)),f326(f34(x70271),f326(f326(f110(f928(x70271,a916)),x70272),x70273)))
% 163.42/163.17 [7442]~P102(x74421)+~P106(f326(f60(x74421),x74422))+~P106(f326(f326(f328(x74421),x74423),x74422))+P106(f326(f326(f234(x74421),f326(f62(x74421,f101(x74421)),x74422)),x74423))
% 163.42/163.17 [7443]~P109(x74431)+~P106(f326(f60(x74431),x74432))+~P106(f326(f326(f328(x74431),x74433),x74432))+P106(f326(f326(f234(x74431),f326(f62(x74431,f188(x74431)),x74432)),x74433))
% 163.42/163.17 [7693]~P106(f326(f60(x76931),x76933))+~P106(f326(f60(x76931),x76932))+~E(f326(f326(f101(f928(x76931,a916)),x76932),x76933),f189(f928(x76931,a916)))+E(f326(f326(f79(a920),f326(f34(x76931),x76932)),f326(f34(x76931),x76933)),f326(f34(x76931),f326(f326(f110(f928(x76931,a916)),x76932),x76933)))
% 163.42/163.17 [8476]~P39(x84761,x84763)+~P39(x84761,x84762)+~E(f326(f326(f101(f928(x84761,a916)),f326(f263(x84761,x84761),x84762)),f326(f283(x84761,x84761),x84763)),f189(f928(x84761,a916)))+P39(x84761,f326(f326(f110(f928(f927(x84761,x84761),a916)),x84762),x84763))
% 163.42/163.17 [8570]E(x85701,f326(f326(f35(a920),x85702),x85703))+~P106(f326(f326(f235(a920),f2(a920)),x85703))+~P106(f326(f326(f235(a920),x85702),f326(f326(f80(a920),x85703),f326(a112,x85701))))+~P106(f326(f326(f234(a920),f326(f326(f80(a920),x85703),x85701)),x85702))
% 163.42/163.17 [8701]~P106(f326(f60(x87011),x87012))+~P106(f326(f60(x87011),x87013))+E(f326(f326(f79(a920),f326(f34(x87011),x87012)),f326(f34(x87011),x87013)),f326(f34(x87011),f326(f326(f110(f928(x87011,a916)),x87012),x87013)))+P106(f326(f326(f328(x87011),f900(x87013,x87012,x87011)),f326(f326(f101(f928(x87011,a916)),x87012),x87013)))
% 163.42/163.17 [9097]~P129(x90972)+~E(x90971,f2(x90972))+~E(x90973,f2(x90972))+~P106(f326(f326(f235(x90972),f2(x90972)),f326(f326(f79(x90972),f326(f326(f80(x90972),x90973),x90973)),f326(f326(f80(x90972),x90971),x90971))))
% 163.42/163.17 [9623]~P39(x96231,x96233)+~P39(x96231,x96232)+P39(x96231,f326(f326(f110(f928(f927(x96231,x96231),a916)),x96232),x96233))+~P106(f326(f326(f234(f928(f927(x96231,x96231),a916)),f326(f326(f288(x96231,x96231,x96231),x96232),x96233)),x96232))
% 163.42/163.17 [9759]~P106(f326(x97591,x97593))+~P106(f326(f60(x97592),x97593))+P106(f326(x97591,f189(f928(x97592,a916))))+~P106(f326(x97591,f326(f326(f3(f928(x97592,a916)),f493(x97591,x97593,x97592)),f326(f326(f308(x97592),f484(x97591,x97593,x97592)),f189(f928(x97592,a916))))))
% 163.42/163.17 [8880]~P106(f326(f326(f235(a1),f2(a1)),x88803))+P106(f326(f326(f234(a1),f2(a1)),x88801))+~P106(f326(f326(f235(a1),x88802),x88803))+~P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f326(f326(f80(a1),x88803),x88801)),x88802)))
% 163.42/163.17 [8904]~P2(x89041)+~P106(f326(f60(x89041),x89042))+E(f326(f326(f3(f928(x89041,a916)),x89042),f326(f326(f308(x89041),x89043),f189(f928(x89041,a916)))),f189(f928(x89041,a916)))+E(f326(f326(f110(x89041),x89043),f12(x89041,f326(f326(f3(f928(x89041,a916)),x89042),f326(f326(f308(x89041),x89043),f189(f928(x89041,a916)))))),f12(x89041,f326(f326(f308(x89041),x89043),x89042)))
% 163.42/163.17 [8905]~P2(x89051)+~P106(f326(f60(x89051),x89052))+E(f326(f326(f3(f928(x89051,a916)),x89052),f326(f326(f308(x89051),x89053),f189(f928(x89051,a916)))),f189(f928(x89051,a916)))+E(f326(f326(f101(x89051),x89053),f13(x89051,f326(f326(f3(f928(x89051,a916)),x89052),f326(f326(f308(x89051),x89053),f189(f928(x89051,a916)))))),f13(x89051,f326(f326(f308(x89051),x89053),x89052)))
% 163.42/163.17 [8906]~P109(x89061)+~P106(f326(f60(x89061),x89062))+E(f326(f326(f3(f928(x89061,a916)),x89062),f326(f326(f308(x89061),x89063),f189(f928(x89061,a916)))),f189(f928(x89061,a916)))+E(f326(f326(f188(x89061),x89063),f16(x89061,f326(f326(f3(f928(x89061,a916)),x89062),f326(f326(f308(x89061),x89063),f189(f928(x89061,a916)))))),f16(x89061,f326(f326(f308(x89061),x89063),x89062)))
% 163.42/163.17 [8907]~P109(x89071)+~P106(f326(f60(x89071),x89072))+E(f326(f326(f3(f928(x89071,a916)),x89072),f326(f326(f308(x89071),x89073),f189(f928(x89071,a916)))),f189(f928(x89071,a916)))+E(f326(f326(f233(x89071),x89073),f17(x89071,f326(f326(f3(f928(x89071,a916)),x89072),f326(f326(f308(x89071),x89073),f189(f928(x89071,a916)))))),f17(x89071,f326(f326(f308(x89071),x89073),x89072)))
% 163.42/163.17 [8979]~P109(x89791)+~P106(f326(f60(x89791),x89792))+E(f326(f326(f3(f928(x89791,a916)),x89792),f326(f326(f308(x89791),x89793),f189(f928(x89791,a916)))),f189(f928(x89791,a916)))+E(f326(f326(f188(x89791),x89793),f14(x89791,f188(x89791),f326(f326(f3(f928(x89791,a916)),x89792),f326(f326(f308(x89791),x89793),f189(f928(x89791,a916)))))),f14(x89791,f188(x89791),f326(f326(f308(x89791),x89793),x89792)))
% 163.42/163.17 [8980]~P109(x89801)+~P106(f326(f60(x89801),x89802))+E(f326(f326(f3(f928(x89801,a916)),x89802),f326(f326(f308(x89801),x89803),f189(f928(x89801,a916)))),f189(f928(x89801,a916)))+E(f326(f326(f233(x89801),x89803),f15(x89801,f233(x89801),f326(f326(f3(f928(x89801,a916)),x89802),f326(f326(f308(x89801),x89803),f189(f928(x89801,a916)))))),f15(x89801,f233(x89801),f326(f326(f308(x89801),x89803),x89802)))
% 163.42/163.17 [9561]E(x95611,x95612)+~E(f326(f142(f921(x95613),f921(x95613),f134(x95613),f113(x95613)),x95611),f326(f142(f921(x95613),f921(x95613),f134(x95613),f113(x95613)),x95612))+~E(f326(f190(f921(f921(x95613))),x95611),f326(f190(f921(f921(x95613))),x95612))+P106(f326(f326(f328(f927(f921(x95613),f921(x95613))),f704(x95612,x95611,x95613)),f326(f172(f927(f921(x95613),f921(x95613))),f326(f326(f181(f921(x95613),f921(x95613)),x95611),x95612))))
% 163.42/163.17 [9562]E(x95621,x95622)+~E(f326(f142(f921(x95623),f921(x95623),f134(x95623),f113(x95623)),x95621),f326(f142(f921(x95623),f921(x95623),f134(x95623),f113(x95623)),x95622))+~E(f326(f190(f921(f921(x95623))),x95621),f326(f190(f921(f921(x95623))),x95622))+P106(f326(f326(f328(f927(f921(x95623),f921(x95623))),f705(x95621,x95622,x95623)),f326(f172(f927(f921(x95623),f921(x95623))),f326(f326(f181(f921(x95623),f921(x95623)),x95622),x95621))))
% 163.42/163.17 [10428]~P99(x104282)+E(x104281,f189(f928(x104282,a916)))+~P106(f326(f60(x104282),x104281))+E(f13(x104282,f326(f261(x104282),f326(f326(f10(f928(x104282,a916),a916,x104282),f86(x104282)),f326(f326(f9(x104282,f928(x104282,a916),f928(x104282,a916)),f326(f326(f10(f928(x104282,f928(a916,a916)),f928(f928(x104282,a916),f928(x104282,a916)),x104282),f20(x104282,a916,a916)),f326(f326(f10(f928(x104282,a916),f928(x104282,f928(a916,a916)),x104282),f326(f10(a916,f928(a916,a916),x104282),a324)),f326(f326(f9(x104282,f928(x104282,x104282),f928(x104282,a916)),f326(f326(f10(f928(x104282,a916),f928(f928(x104282,x104282),f928(x104282,a916)),x104282),f10(x104282,a916,x104282)),a323)),f326(f110(x104282),x104283))))),f326(f326(f9(x104282,f928(x104282,a916),a916),f328(x104282)),x104281))))),f326(f326(f110(x104282),x104283),f13(x104282,x104281)))
% 163.42/163.17 [10429]~P99(x104292)+E(x104291,f189(f928(x104292,a916)))+~P106(f326(f60(x104292),x104291))+E(f12(x104292,f326(f261(x104292),f326(f326(f10(f928(x104292,a916),a916,x104292),f86(x104292)),f326(f326(f9(x104292,f928(x104292,a916),f928(x104292,a916)),f326(f326(f10(f928(x104292,f928(a916,a916)),f928(f928(x104292,a916),f928(x104292,a916)),x104292),f20(x104292,a916,a916)),f326(f326(f10(f928(x104292,a916),f928(x104292,f928(a916,a916)),x104292),f326(f10(a916,f928(a916,a916),x104292),a324)),f326(f326(f9(x104292,f928(x104292,x104292),f928(x104292,a916)),f326(f326(f10(f928(x104292,a916),f928(f928(x104292,x104292),f928(x104292,a916)),x104292),f10(x104292,a916,x104292)),a323)),f326(f101(x104292),x104293))))),f326(f326(f9(x104292,f928(x104292,a916),a916),f328(x104292)),x104291))))),f326(f326(f101(x104292),x104293),f12(x104292,x104291)))
% 163.42/163.17 [10430]~P79(x104302)+E(x104301,f189(f928(x104302,a916)))+~P106(f326(f60(x104302),x104301))+E(f16(x104302,f326(f261(x104302),f326(f326(f10(f928(x104302,a916),a916,x104302),f86(x104302)),f326(f326(f9(x104302,f928(x104302,a916),f928(x104302,a916)),f326(f326(f10(f928(x104302,f928(a916,a916)),f928(f928(x104302,a916),f928(x104302,a916)),x104302),f20(x104302,a916,a916)),f326(f326(f10(f928(x104302,a916),f928(x104302,f928(a916,a916)),x104302),f326(f10(a916,f928(a916,a916),x104302),a324)),f326(f326(f9(x104302,f928(x104302,x104302),f928(x104302,a916)),f326(f326(f10(f928(x104302,a916),f928(f928(x104302,x104302),f928(x104302,a916)),x104302),f10(x104302,a916,x104302)),a323)),f326(f79(x104302),x104303))))),f326(f326(f9(x104302,f928(x104302,a916),a916),f328(x104302)),x104301))))),f326(f326(f79(x104302),x104303),f16(x104302,x104301)))
% 163.42/163.17 [10431]~P79(x104312)+E(x104311,f189(f928(x104312,a916)))+~P106(f326(f60(x104312),x104311))+E(f17(x104312,f326(f261(x104312),f326(f326(f10(f928(x104312,a916),a916,x104312),f86(x104312)),f326(f326(f9(x104312,f928(x104312,a916),f928(x104312,a916)),f326(f326(f10(f928(x104312,f928(a916,a916)),f928(f928(x104312,a916),f928(x104312,a916)),x104312),f20(x104312,a916,a916)),f326(f326(f10(f928(x104312,a916),f928(x104312,f928(a916,a916)),x104312),f326(f10(a916,f928(a916,a916),x104312),a324)),f326(f326(f9(x104312,f928(x104312,x104312),f928(x104312,a916)),f326(f326(f10(f928(x104312,a916),f928(f928(x104312,x104312),f928(x104312,a916)),x104312),f10(x104312,a916,x104312)),a323)),f326(f79(x104312),x104313))))),f326(f326(f9(x104312,f928(x104312,a916),a916),f328(x104312)),x104311))))),f326(f326(f79(x104312),x104313),f17(x104312,x104311)))
% 163.42/163.17 [10432]~P109(x104322)+E(x104321,f189(f928(x104322,a916)))+~P106(f326(f60(x104322),x104321))+E(f15(x104322,f233(x104322),f326(f261(x104322),f326(f326(f10(f928(x104322,a916),a916,x104322),f86(x104322)),f326(f326(f9(x104322,f928(x104322,a916),f928(x104322,a916)),f326(f326(f10(f928(x104322,f928(a916,a916)),f928(f928(x104322,a916),f928(x104322,a916)),x104322),f20(x104322,a916,a916)),f326(f326(f10(f928(x104322,a916),f928(x104322,f928(a916,a916)),x104322),f326(f10(a916,f928(a916,a916),x104322),a324)),f326(f326(f9(x104322,f928(x104322,x104322),f928(x104322,a916)),f326(f326(f10(f928(x104322,a916),f928(f928(x104322,x104322),f928(x104322,a916)),x104322),f10(x104322,a916,x104322)),a323)),f326(f188(x104322),x104323))))),f326(f326(f9(x104322,f928(x104322,a916),a916),f328(x104322)),x104321))))),f326(f326(f188(x104322),x104323),f15(x104322,f233(x104322),x104321)))
% 163.42/163.17 [10433]~P109(x104332)+E(x104331,f189(f928(x104332,a916)))+~P106(f326(f60(x104332),x104331))+E(f14(x104332,f188(x104332),f326(f261(x104332),f326(f326(f10(f928(x104332,a916),a916,x104332),f86(x104332)),f326(f326(f9(x104332,f928(x104332,a916),f928(x104332,a916)),f326(f326(f10(f928(x104332,f928(a916,a916)),f928(f928(x104332,a916),f928(x104332,a916)),x104332),f20(x104332,a916,a916)),f326(f326(f10(f928(x104332,a916),f928(x104332,f928(a916,a916)),x104332),f326(f10(a916,f928(a916,a916),x104332),a324)),f326(f326(f9(x104332,f928(x104332,x104332),f928(x104332,a916)),f326(f326(f10(f928(x104332,a916),f928(f928(x104332,x104332),f928(x104332,a916)),x104332),f10(x104332,a916,x104332)),a323)),f326(f233(x104332),x104333))))),f326(f326(f9(x104332,f928(x104332,a916),a916),f328(x104332)),x104331))))),f326(f326(f233(x104332),x104333),f14(x104332,f188(x104332),x104331)))
% 163.42/163.17 [10145]~P120(x101451)+~E(x101453,f2(x101451))+~E(x101452,f2(x101451))+E(f326(f326(f79(x101451),f326(f326(f243(x101451),x101452),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x101451),x101453),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x101451))
% 163.42/163.17 [10299]~P127(x102991)+~P106(f326(f326(f234(x102991),f2(x102991)),x102993))+P106(f326(f326(f234(x102991),x102992),x102993))+~P106(f326(f326(f234(x102991),f326(f326(f243(x102991),x102992),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x102991),x102993),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 163.42/163.17 [10357]~P120(x103572)+~E(x103571,f2(x103572))+~E(x103573,f2(x103572))+~P106(f326(f326(f235(x103572),f2(x103572)),f326(f326(f79(x103572),f326(f326(f243(x103572),x103573),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103572),x103571),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 163.42/163.17 [6908]~P8(x69083,x69082)+~P106(f326(x69081,x69084))+~P106(f326(f326(f328(x69083),x69084),f269(x69083,x69082)))+P106(f326(x69081,f821(x69081,x69082,x69083)))
% 163.42/163.17 [8812]P27(x88121,x88122,f825(x88123,x88122,x88124,x88121),x88124,x88123)+~E(f326(f34(x88121),x88124),f326(f34(x88122),x88123))+~P106(f326(f60(x88122),x88123))+~P106(f326(f60(x88121),x88124))
% 163.42/163.17 [9524]E(x95241,x95242)+~E(f657(x95241,x95242,x95244,x95243),f658(x95241,x95242,x95244,x95243))+P106(f326(f326(f328(f927(f921(x95243),f921(x95243))),f326(f326(f251(f921(x95243),f921(x95243)),x95242),x95241)),f147(x95243,x95244)))+P106(f326(f326(f328(f927(f921(x95243),f921(x95243))),f326(f326(f251(f921(x95243),f921(x95243)),x95241),x95242)),f147(x95243,x95244)))
% 163.42/163.17 [5043]~P65(x50432)+~E(x50434,f2(x50432))+~E(x50431,f2(x50432))+E(x50431,f326(f326(f290(x50432),x50433),x50434))
% 163.42/163.17 [5044]~P65(x50441)+~E(x50443,f2(x50441))+~E(x50444,f2(x50441))+E(f326(f326(f290(x50441),x50442),x50443),x50444)
% 163.42/163.17 [5160]~P65(x51602)+E(x51601,f2(x51602))+~E(x51603,f2(x51602))+~E(x51601,f326(f326(f290(x51602),x51604),x51603))
% 163.42/163.17 [5161]~P65(x51612)+E(x51611,f2(x51612))+~E(x51613,f2(x51612))+~E(f326(f326(f290(x51612),x51614),x51613),x51611)
% 163.42/163.17 [5344]~P124(x53442)+E(x53441,f2(x53442))+~E(f326(f326(f290(x53442),x53443),x53441),x53444)+E(x53443,f326(f326(f80(x53442),x53444),x53441))
% 163.42/163.17 [5346]~P124(x53462)+E(x53461,f2(x53462))+~E(f326(f326(f80(x53462),x53463),x53461),x53464)+E(x53463,f326(f326(f290(x53462),x53464),x53461))
% 163.42/163.17 [5347]~P65(x53472)+E(x53471,f2(x53472))+~E(f326(f326(f290(x53472),x53473),x53471),x53474)+E(x53473,f326(f326(f80(x53472),x53474),x53471))
% 163.42/163.17 [5348]~P65(x53482)+E(x53481,f2(x53482))+~E(f326(f326(f80(x53482),x53483),x53481),x53484)+E(x53483,f326(f326(f290(x53482),x53484),x53481))
% 163.42/163.17 [5349]~P124(x53492)+E(x53491,f2(x53492))+~E(x53493,f326(f326(f290(x53492),x53494),x53491))+E(f326(f326(f80(x53492),x53493),x53491),x53494)
% 163.42/163.17 [5351]~P124(x53512)+E(x53511,f2(x53512))+~E(x53513,f326(f326(f80(x53512),x53514),x53511))+E(f326(f326(f290(x53512),x53513),x53511),x53514)
% 163.42/163.17 [5352]~P65(x53522)+E(x53521,f2(x53522))+~E(x53523,f326(f326(f290(x53522),x53524),x53521))+E(f326(f326(f80(x53522),x53523),x53521),x53524)
% 163.42/163.17 [5353]~P65(x53532)+E(x53531,f2(x53532))+~E(x53533,f326(f326(f80(x53532),x53534),x53531))+E(f326(f326(f290(x53532),x53533),x53531),x53534)
% 163.42/163.17 [5377]~P65(x53772)+~E(x53771,f2(x53772))+~E(f326(f326(f80(x53772),x53771),x53774),x53773)+E(x53771,f326(f326(f290(x53772),x53773),x53774))
% 163.42/163.17 [5378]~P65(x53781)+~E(x53784,f2(x53781))+~E(x53782,f326(f326(f80(x53781),x53784),x53783))+E(f326(f326(f290(x53781),x53782),x53783),x53784)
% 163.42/163.17 [5452]~E(x54523,x54524)+~E(x54522,x54523)+~P110(x54521)+E(f302(x54521,x54522,x54523),f326(f326(f308(x54521),x54524),f189(f928(x54521,a916))))
% 163.42/163.17 [5659]~E(f114(x56592,x56591),x56593)+~E(f144(x56592,x56591),x56594)+E(x56591,f113(x56592))+E(f326(f326(f134(x56592),x56593),f326(f326(f151(x56592),x56594),f113(x56592))),x56591)
% 163.42/163.17 [6297]~P127(x62973)+E(x62971,x62972)+~E(f326(f326(f243(x62973),x62974),x62971),f326(f326(f243(x62973),x62974),x62972))+~P106(f326(f326(f235(x62973),f77(x62973)),x62974))
% 163.42/163.17 [6298]E(x62981,x62982)+~E(f326(f326(f308(x62983),x62984),x62981),f326(f326(f308(x62983),x62984),x62982))+P106(f326(f326(f328(x62983),x62984),x62982))+P106(f326(f326(f328(x62983),x62984),x62981))
% 163.42/163.17 [6341]E(f326(x63411,x63412),f77(a920))+~E(f326(f326(f11(x63413,a920),x63411),x63414),f77(a920))+~P106(f326(f60(x63413),x63414))+~P106(f326(f326(f328(x63413),x63412),x63414))
% 163.42/163.17 [6342]E(f326(x63421,x63422),f2(a920))+~E(f326(f326(f8(x63423,a920),x63421),x63424),f2(a920))+~P106(f326(f60(x63423),x63424))+~P106(f326(f326(f328(x63423),x63422),x63424))
% 163.42/163.17 [6564]~P110(x65641)+~P106(f326(f326(f234(x65641),x65644),x65643))+P106(f326(f326(f234(x65641),x65642),x65643))+~P106(f326(f326(f234(x65641),x65642),x65644))
% 163.42/163.17 [6565]~P107(x65651)+~P106(f326(f326(f234(x65651),x65652),x65654))+P106(f326(f326(f234(x65651),x65652),x65653))+~P106(f326(f326(f234(x65651),x65654),x65653))
% 163.42/163.17 [6566]~P110(x65661)+~P106(f326(f326(f235(x65661),x65664),x65663))+P106(f326(f326(f235(x65661),x65662),x65663))+~P106(f326(f326(f234(x65661),x65662),x65664))
% 163.42/163.17 [6567]~P110(x65671)+~P106(f326(f326(f235(x65671),x65672),x65674))+P106(f326(f326(f235(x65671),x65672),x65673))+~P106(f326(f326(f234(x65671),x65674),x65673))
% 163.42/163.17 [6568]~P110(x65681)+~P106(f326(f326(f235(x65681),x65684),x65683))+P106(f326(f326(f235(x65681),x65682),x65683))+~P106(f326(f326(f235(x65681),x65682),x65684))
% 163.42/163.17 [6569]~P107(x65691)+~P106(f326(f326(f235(x65691),x65692),x65694))+P106(f326(f326(f235(x65691),x65692),x65693))+~P106(f326(f326(f234(x65691),x65694),x65693))
% 163.42/163.17 [6570]~P107(x65701)+~P106(f326(f326(f235(x65701),x65704),x65703))+P106(f326(f326(f235(x65701),x65702),x65703))+~P106(f326(f326(f234(x65701),x65702),x65704))
% 163.42/163.17 [6571]~P107(x65711)+~P106(f326(f326(f235(x65711),x65712),x65714))+P106(f326(f326(f235(x65711),x65712),x65713))+~P106(f326(f326(f235(x65711),x65714),x65713))
% 163.42/163.17 [6572]~P113(x65721)+~P106(f326(f326(f286(x65721),x65722),x65724))+P106(f326(f326(f286(x65721),x65722),x65723))+~P106(f326(f326(f286(x65721),x65724),x65723))
% 163.42/163.17 [6651]~P37(x66514,x66513,x66512)+E(x66511,f758(x66512,x66513,x66514))+~P106(f326(x66513,x66511))+~P106(f326(f326(f328(x66514),x66511),f326(f172(x66514),x66512)))
% 163.42/163.17 [6652]~P37(x66524,x66523,x66522)+E(x66521,f768(x66522,x66523,x66524))+~P106(f326(x66523,x66521))+~P106(f326(f326(f328(x66524),x66521),f326(f172(x66524),x66522)))
% 163.42/163.17 [6802]~P6(x68021)+~P106(f326(f326(f234(x68021),x68022),f37(x68021,x68024)))+P106(f326(f326(f234(x68021),x68022),x68023))+~P106(f326(f326(f328(x68021),x68023),x68024))
% 163.42/163.17 [6949]~P109(x69491)+~P14(x69491,f326(f326(f151(x69491),x69492),x69494))+~P106(f326(f326(f328(x69491),x69493),f326(f172(x69491),x69494)))+P106(f326(f326(f234(x69491),x69492),x69493))
% 163.42/163.17 [7037]~P6(x70371)+~P106(f326(f326(f234(x70371),f36(x70371,x70374)),x70373))+P106(f326(f326(f234(x70371),x70372),x70373))+~P106(f326(f326(f328(x70371),x70372),x70374))
% 163.42/163.17 [7445]~P109(x74451)+E(f326(f326(f110(f928(x74451,a916)),f326(f301(x74451,x74452),x74453)),f326(f301(x74451,x74453),x74454)),f326(f301(x74451,x74452),x74454))+~P106(f326(f326(f234(x74451),x74453),x74454))+~P106(f326(f326(f234(x74451),x74452),x74453))
% 163.42/163.17 [7489]P37(x74891,x74892,x74893)+~E(f769(x74893,x74892,x74891,x74894),x74894)+~P106(f326(x74892,x74894))+~P106(f326(f326(f328(x74891),x74894),f326(f172(x74891),x74893)))
% 163.42/163.17 [7490]P37(x74901,x74902,x74903)+~E(f776(x74903,x74902,x74901,x74904),x74904)+~P106(f326(x74902,x74904))+~P106(f326(f326(f328(x74901),x74904),f326(f172(x74901),x74903)))
% 163.42/163.17 [7564]~P109(x75641)+E(f326(f326(f110(f928(x75641,a916)),f326(f301(x75641,x75642),x75643)),f302(x75641,x75643,x75644)),f302(x75641,x75642,x75644))+~P106(f326(f326(f234(x75641),x75643),x75644))+~P106(f326(f326(f234(x75641),x75642),x75643))
% 163.42/163.17 [7626]~P109(x76261)+E(f326(f326(f110(f928(x76261,a916)),f305(x76261,x76262,x76263)),f326(f301(x76261,x76263),x76264)),f305(x76261,x76262,x76264))+~P106(f326(f326(f234(x76261),x76263),x76264))+~P106(f326(f326(f235(x76261),x76262),x76263))
% 163.42/163.17 [7643]~P109(x76431)+E(f326(f326(f110(f928(x76431,a916)),f302(x76431,x76432,x76433)),f305(x76431,x76433,x76434)),f326(f301(x76431,x76432),x76434))+~P106(f326(f326(f234(x76431),x76432),x76433))+~P106(f326(f326(f235(x76431),x76433),x76434))
% 163.42/163.17 [7674]~P109(x76741)+E(f326(f326(f110(f928(x76741,a916)),f302(x76741,x76742,x76743)),f304(x76741,x76743,x76744)),f302(x76741,x76742,x76744))+~P106(f326(f326(f234(x76741),x76743),x76744))+~P106(f326(f326(f234(x76741),x76742),x76743))
% 163.42/163.17 [7675]~P109(x76751)+E(f326(f326(f110(f928(x76751,a916)),f305(x76751,x76752,x76753)),f302(x76751,x76753,x76754)),f304(x76751,x76752,x76754))+~P106(f326(f326(f234(x76751),x76753),x76754))+~P106(f326(f326(f235(x76751),x76752),x76753))
% 163.42/163.17 [7676]~P109(x76761)+E(f326(f326(f110(f928(x76761,a916)),f304(x76761,x76762,x76763)),f305(x76761,x76763,x76764)),f305(x76761,x76762,x76764))+~P106(f326(f326(f234(x76761),x76762),x76763))+~P106(f326(f326(f235(x76761),x76763),x76764))
% 163.42/163.17 [7677]~P109(x76771)+E(f326(f326(f110(f928(x76771,a916)),f304(x76771,x76772,x76773)),f304(x76771,x76773,x76774)),f304(x76771,x76772,x76774))+~P106(f326(f326(f234(x76771),x76773),x76774))+~P106(f326(f326(f234(x76771),x76772),x76773))
% 163.42/163.17 [8460]P26(x84601,x84602,f505(x84603,x84602,x84604,x84601),x84604)+~P106(f326(f60(x84602),x84603))+~P106(f326(f60(x84601),x84604))+~P106(f326(f326(f234(a920),f326(f34(x84601),x84604)),f326(f34(x84602),x84603)))
% 163.42/163.17 [8481]P37(x84811,x84812,x84813)+~P106(f326(x84812,x84814))+P106(f326(x84812,f769(x84813,x84812,x84811,x84814)))+~P106(f326(f326(f328(x84811),x84814),f326(f172(x84811),x84813)))
% 163.42/163.17 [8482]P37(x84821,x84822,x84823)+~P106(f326(x84822,x84824))+P106(f326(x84822,f776(x84823,x84822,x84821,x84824)))+~P106(f326(f326(f328(x84821),x84824),f326(f172(x84821),x84823)))
% 163.42/163.17 [8536]~P77(x85361)+~E(f326(x85363,f889(x85363,x85364,x85362,x85361)),f77(x85361))+E(f326(f326(f326(f64(x85361,x85362,f80(x85361)),x85363),f77(x85361)),x85364),f77(x85361))+~P106(f326(f60(x85362),x85364))
% 163.42/163.17 [8801]~P127(x88011)+~P106(f326(f326(f234(x88011),f2(x88011)),x88013))+P106(f326(f326(f234(x88011),x88012),x88013))+~P106(f326(f326(f234(x88011),f326(f326(f243(x88011),x88012),f326(a112,x88014))),f326(f326(f243(x88011),x88013),f326(a112,x88014))))
% 163.42/163.17 [9122]P37(x91221,x91222,x91223)+~P106(f326(x91222,x91224))+~P106(f326(f326(f328(x91221),x91224),f326(f172(x91221),x91223)))+P106(f326(f326(f328(x91221),f769(x91223,x91222,x91221,x91224)),f326(f172(x91221),x91223)))
% 163.42/163.17 [9123]P37(x91231,x91232,x91233)+~P106(f326(x91232,x91234))+~P106(f326(f326(f328(x91231),x91234),f326(f172(x91231),x91233)))+P106(f326(f326(f328(x91231),f776(x91233,x91232,x91231,x91234)),f326(f172(x91231),x91233)))
% 163.42/163.17 [9199]~P77(x91991)+E(f326(f326(f326(f64(x91991,x91992,f80(x91991)),x91993),f77(x91991)),x91994),f77(x91991))+~P106(f326(f60(x91992),x91994))+P106(f326(f326(f328(x91992),f889(x91993,x91994,x91992,x91991)),x91994))
% 163.42/163.17 [9696]~P106(f326(f326(f286(a920),x96961),x96963))+~P106(f326(f326(f286(a920),x96961),x96962))+~P106(f326(f326(f286(a920),x96964),x96963))+~P106(f326(f326(f235(f928(a920,a916)),f289(a920,f286(a920),x96961,x96963)),f289(a920,f286(a920),x96962,x96964)))
% 163.42/163.17 [9701]~P106(f326(f326(f234(a1),x97014),f2(a1)))+P106(f326(f326(f234(a1),f326(f326(f79(a1),f326(f326(f80(a1),x97011),f44(a1,x97012,x97013))),x97014)),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x97013))+~P106(f326(f326(f235(a1),x97011),x97014))
% 163.42/163.17 [10138]~P106(f326(f60(x101381),x101382))+~P106(f326(f326(f328(x101381),x101384),x101382))+~P106(f326(f326(f328(x101381),x101383),x101382))+P106(f326(f326(f235(a920),f326(f34(x101381),f326(f326(f3(f928(x101381,a916)),f326(f326(f3(f928(x101381,a916)),x101382),f326(f326(f308(x101381),x101383),f189(f928(x101381,a916))))),f326(f326(f308(x101381),x101384),f189(f928(x101381,a916)))))),f326(f34(x101381),x101382)))
% 163.42/163.17 [7095]~P147(x70953)+~P123(x70953)+P106(f326(x70951,f854(x70952,x70951,x70953)))+~P106(f326(x70951,f326(f326(f80(x70953),x70952),x70954)))
% 163.42/163.17 [7152]~P102(x71521)+~P106(f326(f326(f234(x71521),x71522),x71524))+~P106(f326(f326(f234(x71521),x71522),x71523))+P106(f326(f326(f234(x71521),x71522),f326(f326(f101(x71521),x71523),x71524)))
% 163.42/163.17 [7155]~P109(x71551)+~P106(f326(f326(f234(x71551),x71552),x71554))+~P106(f326(f326(f234(x71551),x71552),x71553))+P106(f326(f326(f234(x71551),x71552),f326(f326(f188(x71551),x71553),x71554)))
% 163.42/163.17 [7156]~P109(x71561)+~P106(f326(f326(f235(x71561),x71562),x71564))+~P106(f326(f326(f235(x71561),x71562),x71563))+P106(f326(f326(f235(x71561),x71562),f326(f326(f188(x71561),x71563),x71564)))
% 163.42/163.17 [7157]~P115(x71571)+~P106(f326(f326(f286(x71571),x71572),x71574))+~P106(f326(f326(f286(x71571),x71572),x71573))+P106(f326(f326(f286(x71571),x71572),f326(f326(f3(x71571),x71573),x71574)))
% 163.42/163.17 [7177]~P66(x71772)+E(x71771,f2(x71772))+E(f326(f326(f290(x71772),f326(f326(f243(x71772),x71771),x71773)),f326(f326(f243(x71772),x71771),x71774)),f326(f326(f243(x71772),x71771),f326(f326(f3(a920),x71773),x71774)))+~P106(f326(f326(f234(a920),x71774),x71773))
% 163.42/163.17 [7221]~P109(x72211)+~P14(x72211,f326(f326(f151(x72211),x72213),x72214))+P14(x72211,f326(f326(f151(x72211),x72212),f326(f326(f151(x72211),x72213),x72214)))+~P106(f326(f326(f234(x72211),x72212),x72213))
% 163.42/163.17 [7259]~P89(x72591)+~P106(f326(f326(f234(x72591),f2(x72591)),x72594))+~P106(f326(f326(f234(x72591),x72592),x72593))+P106(f326(f326(f234(x72591),x72592),f326(f326(f79(x72591),x72593),x72594)))
% 163.42/163.17 [7260]~P89(x72601)+~P106(f326(f326(f234(x72601),f2(x72601)),x72603))+~P106(f326(f326(f234(x72601),x72602),x72604))+P106(f326(f326(f234(x72601),x72602),f326(f326(f79(x72601),x72603),x72604)))
% 163.42/163.17 [7261]~P127(x72611)+~P106(f326(f326(f235(x72611),f2(x72611)),x72613))+~P106(f326(f326(f235(x72611),x72612),x72614))+P106(f326(f326(f235(x72611),x72612),f326(f326(f79(x72611),x72613),x72614)))
% 163.42/163.17 [7262]~P89(x72621)+~P106(f326(f326(f234(x72621),x72622),x72624))+~P106(f326(f326(f235(x72621),f2(x72621)),x72623))+P106(f326(f326(f235(x72621),x72622),f326(f326(f79(x72621),x72623),x72624)))
% 163.42/163.17 [7263]~P89(x72631)+~P106(f326(f326(f234(x72631),f2(x72631)),x72633))+~P106(f326(f326(f235(x72631),x72632),x72634))+P106(f326(f326(f235(x72631),x72632),f326(f326(f79(x72631),x72633),x72634)))
% 163.42/163.17 [7304]~P109(x73041)+P106(f326(f326(f234(x73041),x73042),x73043))+P106(f326(f326(f234(x73041),x73042),x73044))+~P106(f326(f326(f234(x73041),x73042),f326(f326(f233(x73041),x73044),x73043)))
% 163.42/163.17 [7305]~P109(x73051)+P106(f326(f326(f235(x73051),x73052),x73053))+P106(f326(f326(f235(x73051),x73052),x73054))+~P106(f326(f326(f235(x73051),x73052),f326(f326(f233(x73051),x73054),x73053)))
% 163.42/163.17 [7598]~P110(x75982)+~P64(x75981)+~P106(f326(f326(f235(f928(x75981,x75982)),x75983),x75984))+P106(f326(f326(f234(f928(x75981,x75982)),x75983),x75984))
% 163.42/163.17 [7961]~P68(x79611)+~P106(f326(f326(f235(x79611),x79614),f2(x79611)))+~P106(f326(f326(f234(x79611),x79613),f326(f326(f290(x79611),x79612),x79614)))+P106(f326(f326(f234(x79611),x79612),f326(f326(f80(x79611),x79613),x79614)))
% 163.42/163.17 [7962]~P68(x79621)+~P106(f326(f326(f235(x79621),x79624),f2(x79621)))+~P106(f326(f326(f234(x79621),x79623),f326(f326(f80(x79621),x79622),x79624)))+P106(f326(f326(f234(x79621),x79622),f326(f326(f290(x79621),x79623),x79624)))
% 163.42/163.17 [7963]~P68(x79631)+~P106(f326(f326(f235(x79631),x79634),f2(x79631)))+~P106(f326(f326(f235(x79631),x79633),f326(f326(f290(x79631),x79632),x79634)))+P106(f326(f326(f235(x79631),x79632),f326(f326(f80(x79631),x79633),x79634)))
% 163.42/163.17 [7964]~P68(x79641)+~P106(f326(f326(f235(x79641),x79644),f2(x79641)))+~P106(f326(f326(f235(x79641),x79643),f326(f326(f80(x79641),x79642),x79644)))+P106(f326(f326(f235(x79641),x79642),f326(f326(f290(x79641),x79643),x79644)))
% 163.42/163.17 [8069]~P112(x80691)+~P106(f326(f326(f234(x80691),x80692),f2(x80691)))+~P106(f326(f326(f234(x80691),x80694),x80693))+P106(f326(f326(f234(x80691),f326(f326(f80(x80691),x80692),x80693)),f326(f326(f80(x80691),x80692),x80694)))
% 163.42/163.17 [8070]~P129(x80701)+~P106(f326(f326(f235(x80701),x80702),f2(x80701)))+~P106(f326(f326(f234(x80701),x80704),x80703))+P106(f326(f326(f234(x80701),f326(f326(f80(x80701),x80702),x80703)),f326(f326(f80(x80701),x80702),x80704)))
% 163.42/163.17 [8071]~P112(x80711)+~P106(f326(f326(f234(x80711),x80713),f2(x80711)))+~P106(f326(f326(f234(x80711),x80714),x80712))+P106(f326(f326(f234(x80711),f326(f326(f80(x80711),x80712),x80713)),f326(f326(f80(x80711),x80714),x80713)))
% 163.42/163.17 [8072]~P67(x80721)+~P106(f326(f326(f234(x80721),x80723),f2(x80721)))+~P106(f326(f326(f234(x80721),x80724),x80722))+P106(f326(f326(f234(x80721),f326(f326(f290(x80721),x80722),x80723)),f326(f326(f290(x80721),x80724),x80723)))
% 163.42/163.17 [8076]~P129(x80761)+~P106(f326(f326(f235(x80761),x80763),f2(x80761)))+~P106(f326(f326(f235(x80761),x80764),x80762))+P106(f326(f326(f235(x80761),f326(f326(f80(x80761),x80762),x80763)),f326(f326(f80(x80761),x80764),x80763)))
% 163.42/163.17 [8077]~P129(x80771)+~P106(f326(f326(f235(x80771),x80772),f2(x80771)))+~P106(f326(f326(f235(x80771),x80774),x80773))+P106(f326(f326(f235(x80771),f326(f326(f80(x80771),x80772),x80773)),f326(f326(f80(x80771),x80772),x80774)))
% 163.42/163.17 [8078]~P68(x80781)+~P106(f326(f326(f235(x80781),x80783),f2(x80781)))+~P106(f326(f326(f235(x80781),x80784),x80782))+P106(f326(f326(f235(x80781),f326(f326(f290(x80781),x80782),x80783)),f326(f326(f290(x80781),x80784),x80783)))
% 163.42/163.17 [8079]~P127(x80791)+~P106(f326(f326(f235(x80791),f77(x80791)),x80792))+~P106(f326(f326(f234(a920),x80793),x80794))+P106(f326(f326(f234(x80791),f326(f326(f243(x80791),x80792),x80793)),f326(f326(f243(x80791),x80792),x80794)))
% 163.42/163.17 [8080]~P127(x80801)+~P106(f326(f326(f234(x80801),f77(x80801)),x80802))+~P106(f326(f326(f234(a920),x80803),x80804))+P106(f326(f326(f234(x80801),f326(f326(f243(x80801),x80802),x80803)),f326(f326(f243(x80801),x80802),x80804)))
% 163.42/163.17 [8082]~P127(x80821)+~P106(f326(f326(f235(x80821),f77(x80821)),x80822))+~P106(f326(f326(f235(a920),x80823),x80824))+P106(f326(f326(f235(x80821),f326(f326(f243(x80821),x80822),x80823)),f326(f326(f243(x80821),x80822),x80824)))
% 163.42/163.17 [8109]P106(f326(f326(f235(a920),f2(a920)),f326(x81091,x81092)))+~P106(f326(f60(x81093),x81094))+~P106(f326(f326(f328(x81093),x81092),x81094))+~P106(f326(f326(f235(a920),f2(a920)),f326(f326(f11(x81093,a920),x81091),x81094)))
% 163.42/163.17 [8118]~P129(x81181)+~P106(f326(f326(f235(x81181),f2(x81181)),x81182))+~P106(f326(f326(f234(x81181),x81183),x81184))+P106(f326(f326(f234(x81181),f326(f326(f80(x81181),x81182),x81183)),f326(f326(f80(x81181),x81182),x81184)))
% 163.42/163.17 [8119]~P138(x81191)+~P106(f326(f326(f234(x81191),x81193),x81194))+~P106(f326(f326(f234(x81191),f2(x81191)),x81192))+P106(f326(f326(f234(x81191),f326(f326(f80(x81191),x81192),x81193)),f326(f326(f80(x81191),x81192),x81194)))
% 163.42/163.17 [8120]~P137(x81201)+~P106(f326(f326(f234(x81201),x81203),x81204))+~P106(f326(f326(f234(x81201),f2(x81201)),x81202))+P106(f326(f326(f234(x81201),f326(f326(f80(x81201),x81202),x81203)),f326(f326(f80(x81201),x81202),x81204)))
% 163.42/163.17 [8121]~P138(x81211)+~P106(f326(f326(f234(x81211),x81212),x81214))+~P106(f326(f326(f234(x81211),f2(x81211)),x81213))+P106(f326(f326(f234(x81211),f326(f326(f80(x81211),x81212),x81213)),f326(f326(f80(x81211),x81214),x81213)))
% 163.42/163.17 [8122]~P67(x81221)+~P106(f326(f326(f234(x81221),x81222),x81224))+~P106(f326(f326(f234(x81221),f2(x81221)),x81223))+P106(f326(f326(f234(x81221),f326(f326(f290(x81221),x81222),x81223)),f326(f326(f290(x81221),x81224),x81223)))
% 163.42/163.17 [8123]~P127(x81231)+~P106(f326(f326(f234(x81231),x81232),x81234))+~P106(f326(f326(f234(x81231),f2(x81231)),x81232))+P106(f326(f326(f234(x81231),f326(f326(f243(x81231),x81232),x81233)),f326(f326(f243(x81231),x81234),x81233)))
% 163.42/163.17 [8125]~P121(x81251)+~P106(f326(f326(f235(x81251),x81253),x81254))+~P106(f326(f326(f235(x81251),f2(x81251)),x81252))+P106(f326(f326(f235(x81251),f326(f326(f80(x81251),x81252),x81253)),f326(f326(f80(x81251),x81252),x81254)))
% 163.42/163.17 [8126]~P135(x81261)+~P106(f326(f326(f235(x81261),x81263),x81264))+~P106(f326(f326(f235(x81261),f2(x81261)),x81262))+P106(f326(f326(f235(x81261),f326(f326(f80(x81261),x81262),x81263)),f326(f326(f80(x81261),x81262),x81264)))
% 163.42/163.17 [8127]~P129(x81271)+~P106(f326(f326(f235(x81271),x81272),x81274))+~P106(f326(f326(f235(x81271),f2(x81271)),x81273))+P106(f326(f326(f235(x81271),f326(f326(f80(x81271),x81272),x81273)),f326(f326(f80(x81271),x81274),x81273)))
% 163.42/163.17 [8128]~P135(x81281)+~P106(f326(f326(f235(x81281),x81282),x81284))+~P106(f326(f326(f235(x81281),f2(x81281)),x81283))+P106(f326(f326(f235(x81281),f326(f326(f80(x81281),x81282),x81283)),f326(f326(f80(x81281),x81284),x81283)))
% 163.42/163.17 [8129]~P129(x81291)+~P106(f326(f326(f235(x81291),x81293),x81294))+~P106(f326(f326(f235(x81291),f2(x81291)),x81292))+P106(f326(f326(f235(x81291),f326(f326(f80(x81291),x81292),x81293)),f326(f326(f80(x81291),x81292),x81294)))
% 163.42/163.17 [8130]~P68(x81301)+~P106(f326(f326(f235(x81301),x81302),x81304))+~P106(f326(f326(f235(x81301),f2(x81301)),x81303))+P106(f326(f326(f235(x81301),f326(f326(f290(x81301),x81302),x81303)),f326(f326(f290(x81301),x81304),x81303)))
% 163.42/163.17 [8173]~P108(x81732)+P106(f326(f326(f235(f928(x81731,x81732)),x81734),x81733))+~P106(f326(f326(f234(f928(x81731,x81732)),x81734),x81733))+P106(f326(f326(f234(f928(x81731,x81732)),x81733),x81734))
% 163.42/163.17 [8213]P106(f326(f326(f328(x82131),x82132),x82133))+P106(f326(f326(f328(x82131),x82132),x82134))+~P106(f326(f326(f234(f928(x82131,a916)),x82134),x82133))+P106(f326(f326(f235(f928(x82131,a916)),x82134),f326(f326(f308(x82131),x82132),x82133)))
% 163.42/163.17 [8323]~P122(x83232)+E(x83231,f2(x83232))+P106(f326(f326(f286(x83232),x83233),x83234))+~P106(f326(f326(f286(x83232),f326(f326(f80(x83232),x83233),x83231)),f326(f326(f80(x83232),x83234),x83231)))
% 163.42/163.17 [8324]~P122(x83242)+E(x83241,f2(x83242))+P106(f326(f326(f286(x83242),x83243),x83244))+~P106(f326(f326(f286(x83242),f326(f326(f80(x83242),x83241),x83243)),f326(f326(f80(x83242),x83241),x83244)))
% 163.42/163.17 [8373]P106(f326(f326(f328(x83731),x83732),x83733))+P106(f326(f326(f328(x83731),x83732),x83734))+~P106(f326(f326(f235(f928(x83731,a916)),x83734),f326(f326(f308(x83731),x83732),x83733)))+P106(f326(f326(f234(f928(x83731,a916)),x83734),x83733))
% 163.42/163.17 [8438]~P129(x84381)+P106(f326(f326(f235(x84381),x84383),x84382))+P106(f326(f326(f235(x84381),x84382),x84383))+~P106(f326(f326(f235(x84381),f326(f326(f80(x84381),x84384),x84382)),f326(f326(f80(x84381),x84384),x84383)))
% 163.42/163.17 [8439]~P129(x84391)+P106(f326(f326(f235(x84391),x84393),x84392))+P106(f326(f326(f235(x84391),x84392),x84393))+~P106(f326(f326(f235(x84391),f326(f326(f80(x84391),x84392),x84394)),f326(f326(f80(x84391),x84393),x84394)))
% 163.42/163.17 [8450]~P129(x84501)+P106(f326(f326(f235(x84501),x84504),f2(x84501)))+P106(f326(f326(f235(x84501),x84502),x84503))+~P106(f326(f326(f235(x84501),f326(f326(f80(x84501),x84502),x84504)),f326(f326(f80(x84501),x84503),x84504)))
% 163.42/163.17 [8451]~P129(x84511)+P106(f326(f326(f235(x84511),x84514),f2(x84511)))+P106(f326(f326(f235(x84511),x84512),x84513))+~P106(f326(f326(f235(x84511),f326(f326(f80(x84511),x84514),x84512)),f326(f326(f80(x84511),x84514),x84513)))
% 163.42/163.17 [8454]~P129(x84541)+P106(f326(f326(f235(x84541),x84542),x84543))+P106(f326(f326(f235(x84541),f2(x84541)),x84544))+~P106(f326(f326(f235(x84541),f326(f326(f80(x84541),x84544),x84543)),f326(f326(f80(x84541),x84544),x84542)))
% 163.42/163.17 [8455]~P129(x84551)+P106(f326(f326(f235(x84551),x84552),x84553))+P106(f326(f326(f235(x84551),f2(x84551)),x84554))+~P106(f326(f326(f235(x84551),f326(f326(f80(x84551),x84553),x84554)),f326(f326(f80(x84551),x84552),x84554)))
% 163.42/163.17 [8468]~P129(x84681)+P106(f326(f326(f235(x84681),x84682),f2(x84681)))+P106(f326(f326(f235(x84681),f2(x84681)),x84682))+~P106(f326(f326(f235(x84681),f326(f326(f80(x84681),x84683),x84682)),f326(f326(f80(x84681),x84684),x84682)))
% 163.42/163.17 [8469]~P129(x84691)+P106(f326(f326(f235(x84691),x84692),f2(x84691)))+P106(f326(f326(f235(x84691),f2(x84691)),x84692))+~P106(f326(f326(f235(x84691),f326(f326(f80(x84691),x84692),x84693)),f326(f326(f80(x84691),x84692),x84694)))
% 163.42/163.17 [8498]~P129(x84981)+~P106(f326(f326(f235(x84981),x84984),f2(x84981)))+P106(f326(f326(f234(x84981),x84982),x84983))+~P106(f326(f326(f234(x84981),f326(f326(f80(x84981),x84984),x84983)),f326(f326(f80(x84981),x84984),x84982)))
% 163.42/163.17 [8499]~P129(x84991)+~P106(f326(f326(f235(x84991),x84994),f2(x84991)))+P106(f326(f326(f235(x84991),x84992),x84993))+~P106(f326(f326(f235(x84991),f326(f326(f80(x84991),x84994),x84993)),f326(f326(f80(x84991),x84994),x84992)))
% 163.42/163.17 [8510]~P127(x85103)+~P106(f326(f326(f235(x85103),f77(x85103)),x85104))+P106(f326(f326(f234(a920),x85101),x85102))+~P106(f326(f326(f234(x85103),f326(f326(f243(x85103),x85104),x85101)),f326(f326(f243(x85103),x85104),x85102)))
% 163.42/163.17 [8512]~P127(x85123)+~P106(f326(f326(f235(x85123),f77(x85123)),x85124))+P106(f326(f326(f235(a920),x85121),x85122))+~P106(f326(f326(f235(x85123),f326(f326(f243(x85123),x85124),x85121)),f326(f326(f243(x85123),x85124),x85122)))
% 163.42/163.17 [8522]~P129(x85221)+P106(f326(f326(f234(x85221),x85222),x85223))+~P106(f326(f326(f235(x85221),f2(x85221)),x85224))+~P106(f326(f326(f234(x85221),f326(f326(f80(x85221),x85224),x85222)),f326(f326(f80(x85221),x85224),x85223)))
% 163.42/163.17 [8523]~P135(x85231)+P106(f326(f326(f234(x85231),x85232),x85233))+~P106(f326(f326(f235(x85231),f2(x85231)),x85234))+~P106(f326(f326(f234(x85231),f326(f326(f80(x85231),x85234),x85232)),f326(f326(f80(x85231),x85234),x85233)))
% 163.42/163.17 [8524]~P135(x85241)+P106(f326(f326(f234(x85241),x85242),x85243))+~P106(f326(f326(f235(x85241),f2(x85241)),x85244))+~P106(f326(f326(f234(x85241),f326(f326(f80(x85241),x85242),x85244)),f326(f326(f80(x85241),x85243),x85244)))
% 163.42/163.17 [8525]~P129(x85251)+P106(f326(f326(f235(x85251),x85252),x85253))+~P106(f326(f326(f235(x85251),f2(x85251)),x85254))+~P106(f326(f326(f235(x85251),f326(f326(f80(x85251),x85254),x85252)),f326(f326(f80(x85251),x85254),x85253)))
% 163.42/163.17 [8526]~P135(x85261)+P106(f326(f326(f235(x85261),x85262),x85263))+~P106(f326(f326(f234(x85261),f2(x85261)),x85264))+~P106(f326(f326(f235(x85261),f326(f326(f80(x85261),x85264),x85262)),f326(f326(f80(x85261),x85264),x85263)))
% 163.42/163.17 [8527]~P131(x85271)+P106(f326(f326(f235(x85271),x85272),x85273))+~P106(f326(f326(f234(x85271),f2(x85271)),x85274))+~P106(f326(f326(f235(x85271),f326(f326(f80(x85271),x85274),x85272)),f326(f326(f80(x85271),x85274),x85273)))
% 163.42/163.17 [8528]~P127(x85281)+~P106(f326(f326(f234(x85281),f2(x85281)),x85283))+P106(f326(f326(f235(x85281),x85282),x85283))+~P106(f326(f326(f235(x85281),f326(f326(f243(x85281),x85282),x85284)),f326(f326(f243(x85281),x85283),x85284)))
% 163.42/163.17 [8529]~P135(x85291)+P106(f326(f326(f235(x85291),x85292),x85293))+~P106(f326(f326(f234(x85291),f2(x85291)),x85294))+~P106(f326(f326(f235(x85291),f326(f326(f80(x85291),x85292),x85294)),f326(f326(f80(x85291),x85293),x85294)))
% 163.42/163.17 [8530]~P131(x85301)+P106(f326(f326(f235(x85301),x85302),x85303))+~P106(f326(f326(f234(x85301),f2(x85301)),x85304))+~P106(f326(f326(f235(x85301),f326(f326(f80(x85301),x85302),x85304)),f326(f326(f80(x85301),x85303),x85304)))
% 163.42/163.17 [8573]P106(f326(f326(f328(x85731),x85732),x85733))+~P106(f326(f326(f234(f928(x85731,a916)),x85733),x85734))+~P106(f326(f326(f235(f928(x85731,a916)),x85733),x85734))+P106(f326(f326(f235(f928(x85731,a916)),x85733),f326(f326(f308(x85731),x85732),x85734)))
% 163.42/163.17 [8605]~P147(x86051)+~P123(x86051)+P106(f326(f326(f286(x86051),x86052),f326(f326(f79(x86051),f854(x86052,x86053,x86051)),f2(x86051))))+~P106(f326(x86053,f326(f326(f80(x86051),x86052),x86054)))
% 163.42/163.17 [8954]E(f326(f326(f3(a1),f445(x89541,x89542,x89543,x89544)),f446(x89541,x89542,x89543,x89544)),x89544)+~P106(f326(f326(f235(a1),f2(a1)),x89543))+~P106(f326(f326(f234(a1),x89541),x89544))+P106(f326(f326(f234(a1),x89541),f326(f326(f79(a1),x89544),x89543)))
% 163.42/163.17 [8955]E(f326(f326(f3(a1),f475(x89551,x89552,x89553,x89554)),f476(x89551,x89552,x89553,x89554)),x89554)+~P106(f326(f326(f235(a1),f2(a1)),x89553))+~P106(f326(f326(f235(a1),x89551),x89554))+P106(f326(f326(f235(a1),x89551),f326(f326(f79(a1),x89554),x89553)))
% 163.42/163.17 [9105]~E(f326(f326(f164(x91051),x91053),f677(x91054,x91053,x91051,x91052)),f326(f326(f164(x91051),x91054),f677(x91054,x91053,x91051,x91052)))+E(f326(f326(f175(x91051),x91052),x91053),f326(f326(f175(x91051),x91052),x91054))+~P106(f326(f326(f234(a920),x91052),f326(f190(f921(x91051)),x91053)))+~P106(f326(f326(f234(a920),x91052),f326(f190(f921(x91051)),x91054)))
% 163.42/163.17 [9167]~P106(f326(f326(f235(a1),f2(a1)),x91673))+~P106(f326(f326(f234(a1),x91671),x91674))+P106(f326(f326(f328(a1),f445(x91671,x91672,x91673,x91674)),x91672))+P106(f326(f326(f234(a1),x91671),f326(f326(f79(a1),x91674),x91673)))
% 163.42/163.17 [9168]~P106(f326(f326(f235(a1),f2(a1)),x91683))+~P106(f326(f326(f235(a1),x91681),x91684))+P106(f326(f326(f328(a1),f475(x91681,x91682,x91683,x91684)),x91682))+P106(f326(f326(f235(a1),x91681),f326(f326(f79(a1),x91684),x91683)))
% 163.42/163.17 [9208]~P102(x92081)+~P106(f326(f60(x92081),x92083))+~P106(f326(f326(f328(x92081),x92084),x92083))+P106(f326(f326(f234(x92081),f326(f326(f63(x92081,x92081,f101(x92081)),x92082),x92083)),f326(f326(f101(x92081),x92084),x92082)))
% 163.42/163.17 [9209]~P109(x92091)+~P106(f326(f60(x92091),x92093))+~P106(f326(f326(f328(x92091),x92094),x92093))+P106(f326(f326(f234(x92091),f326(f326(f63(x92091,x92091,f188(x92091)),x92092),x92093)),f326(f326(f188(x92091),x92094),x92092)))
% 163.42/163.17 [9253]E(f326(f326(f175(x92531),x92532),x92533),f326(f326(f175(x92531),x92532),x92534))+P106(f326(f326(f235(a920),f677(x92533,x92534,x92531,x92532)),x92532))+~P106(f326(f326(f234(a920),x92532),f326(f190(f921(x92531)),x92533)))+~P106(f326(f326(f234(a920),x92532),f326(f190(f921(x92531)),x92534)))
% 163.42/163.17 [9258]~P106(f326(f326(f235(a1),f2(a1)),x92583))+~P106(f326(f326(f234(a1),x92581),x92582))+P106(f326(f326(f328(a1),f446(x92581,x92584,x92583,x92582)),f302(a1,f77(a1),x92583)))+P106(f326(f326(f234(a1),x92581),f326(f326(f79(a1),x92582),x92583)))
% 163.42/163.17 [9259]~P106(f326(f326(f235(a1),f2(a1)),x92593))+~P106(f326(f326(f235(a1),x92591),x92592))+P106(f326(f326(f328(a1),f476(x92591,x92594,x92593,x92592)),f302(a1,f77(a1),x92593)))+P106(f326(f326(f235(a1),x92591),f326(f326(f79(a1),x92592),x92593)))
% 163.42/163.17 [9582]~P101(x95821)+~P106(f326(f60(x95821),x95824))+P106(f326(f326(f328(x95821),f345(x95822,x95823,x95824,x95821)),x95824))+P106(f326(f326(f234(x95821),f326(f326(f63(x95821,x95821,f110(x95821)),x95822),x95824)),f326(f326(f110(x95821),x95823),x95822)))
% 163.42/163.17 [9583]~P109(x95831)+~P106(f326(f60(x95831),x95834))+P106(f326(f326(f328(x95831),f605(x95832,x95833,x95834,x95831)),x95834))+P106(f326(f326(f234(x95831),f326(f326(f63(x95831,x95831,f233(x95831)),x95832),x95834)),f326(f326(f233(x95831),x95833),x95832)))
% 163.42/163.17 [9718]~P101(x97181)+~P106(f326(f60(x97181),x97183))+~P106(f326(f326(f234(x97181),f345(x97182,x97184,x97183,x97181)),x97184))+P106(f326(f326(f234(x97181),f326(f326(f63(x97181,x97181,f110(x97181)),x97182),x97183)),f326(f326(f110(x97181),x97184),x97182)))
% 163.42/163.17 [9719]~P109(x97191)+~P106(f326(f60(x97191),x97193))+~P106(f326(f326(f234(x97191),f605(x97192,x97194,x97193,x97191)),x97194))+P106(f326(f326(f234(x97191),f326(f326(f63(x97191,x97191,f233(x97191)),x97192),x97193)),f326(f326(f233(x97191),x97194),x97192)))
% 163.42/163.17 [9721]~P106(f326(f326(f234(a1),f2(a1)),x97214))+~P106(f326(f326(f235(a1),f2(a1)),x97213))+~P106(f326(f326(f235(a1),x97214),x97211))+P106(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f80(a1),x97211),f44(a1,x97212,x97213))),x97214)),f326(f326(f80(a1),x97211),x97213)))
% 163.42/163.17 [10108]E(x101081,x101082)+P106(f326(f326(f328(f927(f921(x101083),f921(x101083))),f326(f326(f251(f921(x101083),f921(x101083)),x101082),x101081)),f147(x101083,x101084)))+P106(f326(f326(f328(f927(f921(x101083),f921(x101083))),f326(f326(f251(f921(x101083),f921(x101083)),x101081),x101082)),f147(x101083,x101084)))+~P106(f326(f326(f328(f927(x101083,x101083)),f326(f326(f251(x101083,x101083),f657(x101081,x101082,x101084,x101083)),f658(x101081,x101082,x101084,x101083))),x101084))
% 163.42/163.17 [10109]E(x101091,x101092)+P106(f326(f326(f328(f927(f921(x101093),f921(x101093))),f326(f326(f251(f921(x101093),f921(x101093)),x101092),x101091)),f147(x101093,x101094)))+P106(f326(f326(f328(f927(f921(x101093),f921(x101093))),f326(f326(f251(f921(x101093),f921(x101093)),x101091),x101092)),f147(x101093,x101094)))+~P106(f326(f326(f328(f927(x101093,x101093)),f326(f326(f251(x101093,x101093),f658(x101091,x101092,x101094,x101093)),f657(x101091,x101092,x101094,x101093))),x101094))
% 163.42/163.17 [7665]~P101(x76651)+~P106(f326(f326(f234(x76651),x76653),x76654))+~P106(f326(f326(f234(x76651),x76652),x76654))+P106(f326(f326(f234(x76651),f326(f326(f110(x76651),x76652),x76653)),x76654))
% 163.42/163.17 [7668]~P109(x76681)+~P106(f326(f326(f234(x76681),x76683),x76684))+~P106(f326(f326(f234(x76681),x76682),x76684))+P106(f326(f326(f234(x76681),f326(f326(f233(x76681),x76682),x76683)),x76684))
% 163.42/163.17 [7669]~P109(x76691)+~P106(f326(f326(f235(x76691),x76693),x76694))+~P106(f326(f326(f235(x76691),x76692),x76694))+P106(f326(f326(f235(x76691),f326(f326(f233(x76691),x76692),x76693)),x76694))
% 163.42/163.17 [7986]~E(x79861,x79863)+E(f139(a920,f326(f301(a920,x79861),x79862)),f326(f326(f151(a920),x79863),x79864))+~E(f139(a920,f326(f301(a920,f326(f326(f79(a920),x79861),f77(a920))),x79862)),x79864)+~P106(f326(f326(f235(a920),x79861),x79862))
% 163.42/163.17 [7994]~P109(x79941)+P106(f326(f326(f234(x79941),x79942),x79943))+P106(f326(f326(f234(x79941),x79944),x79943))+~P106(f326(f326(f234(x79941),f326(f326(f188(x79941),x79944),x79942)),x79943))
% 163.42/163.17 [7995]~P109(x79951)+P106(f326(f326(f235(x79951),x79952),x79953))+P106(f326(f326(f235(x79951),x79954),x79953))+~P106(f326(f326(f235(x79951),f326(f326(f188(x79951),x79954),x79952)),x79953))
% 163.42/163.17 [8271]~P67(x82711)+~P106(f326(f326(f235(x82711),f2(x82711)),x82713))+~P106(f326(f326(f234(x82711),x82712),f326(f326(f290(x82711),x82714),x82713)))+P106(f326(f326(f234(x82711),f326(f326(f80(x82711),x82712),x82713)),x82714))
% 163.42/163.17 [8272]~P68(x82721)+~P106(f326(f326(f235(x82721),f2(x82721)),x82723))+~P106(f326(f326(f234(x82721),x82722),f326(f326(f290(x82721),x82724),x82723)))+P106(f326(f326(f234(x82721),f326(f326(f80(x82721),x82722),x82723)),x82724))
% 163.42/163.17 [8273]~P67(x82731)+~P106(f326(f326(f235(x82731),f2(x82731)),x82733))+~P106(f326(f326(f234(x82731),x82732),f326(f326(f80(x82731),x82734),x82733)))+P106(f326(f326(f234(x82731),f326(f326(f290(x82731),x82732),x82733)),x82734))
% 163.42/163.17 [8275]~P68(x82751)+~P106(f326(f326(f235(x82751),f2(x82751)),x82753))+~P106(f326(f326(f234(x82751),x82752),f326(f326(f80(x82751),x82754),x82753)))+P106(f326(f326(f234(x82751),f326(f326(f290(x82751),x82752),x82753)),x82754))
% 163.42/163.17 [8276]~P67(x82761)+~P106(f326(f326(f235(x82761),f2(x82761)),x82763))+~P106(f326(f326(f235(x82761),x82762),f326(f326(f290(x82761),x82764),x82763)))+P106(f326(f326(f235(x82761),f326(f326(f80(x82761),x82762),x82763)),x82764))
% 163.42/163.17 [8277]~P68(x82771)+~P106(f326(f326(f235(x82771),f2(x82771)),x82773))+~P106(f326(f326(f235(x82771),x82772),f326(f326(f290(x82771),x82774),x82773)))+P106(f326(f326(f235(x82771),f326(f326(f80(x82771),x82772),x82773)),x82774))
% 163.42/163.17 [8278]~P67(x82781)+~P106(f326(f326(f235(x82781),f2(x82781)),x82783))+~P106(f326(f326(f235(x82781),x82782),f326(f326(f80(x82781),x82784),x82783)))+P106(f326(f326(f235(x82781),f326(f326(f290(x82781),x82782),x82783)),x82784))
% 163.42/163.17 [8280]~P68(x82801)+~P106(f326(f326(f235(x82801),f2(x82801)),x82803))+~P106(f326(f326(f235(x82801),x82802),f326(f326(f80(x82801),x82804),x82803)))+P106(f326(f326(f235(x82801),f326(f326(f290(x82801),x82802),x82803)),x82804))
% 163.42/163.17 [8408]~P67(x84081)+~P106(f326(f326(f235(x84081),f2(x84081)),x84084))+P106(f326(f326(f234(x84081),x84082),f326(f326(f80(x84081),x84083),x84084)))+~P106(f326(f326(f234(x84081),f326(f326(f290(x84081),x84082),x84084)),x84083))
% 163.42/163.17 [8409]~P67(x84091)+~P106(f326(f326(f235(x84091),f2(x84091)),x84094))+P106(f326(f326(f234(x84091),x84092),f326(f326(f290(x84091),x84093),x84094)))+~P106(f326(f326(f234(x84091),f326(f326(f80(x84091),x84092),x84094)),x84093))
% 163.42/163.17 [8411]~P68(x84111)+~P106(f326(f326(f235(x84111),f2(x84111)),x84114))+P106(f326(f326(f234(x84111),x84112),f326(f326(f80(x84111),x84113),x84114)))+~P106(f326(f326(f234(x84111),f326(f326(f290(x84111),x84112),x84114)),x84113))
% 163.42/163.17 [8412]~P68(x84121)+~P106(f326(f326(f235(x84121),f2(x84121)),x84124))+P106(f326(f326(f234(x84121),x84122),f326(f326(f290(x84121),x84123),x84124)))+~P106(f326(f326(f234(x84121),f326(f326(f80(x84121),x84122),x84124)),x84123))
% 163.42/163.17 [8413]~P67(x84131)+~P106(f326(f326(f235(x84131),f2(x84131)),x84134))+P106(f326(f326(f235(x84131),x84132),f326(f326(f80(x84131),x84133),x84134)))+~P106(f326(f326(f235(x84131),f326(f326(f290(x84131),x84132),x84134)),x84133))
% 163.42/163.17 [8414]~P67(x84141)+~P106(f326(f326(f235(x84141),f2(x84141)),x84144))+P106(f326(f326(f235(x84141),x84142),f326(f326(f290(x84141),x84143),x84144)))+~P106(f326(f326(f235(x84141),f326(f326(f80(x84141),x84142),x84144)),x84143))
% 163.42/163.17 [8416]~P68(x84161)+~P106(f326(f326(f235(x84161),f2(x84161)),x84164))+P106(f326(f326(f235(x84161),x84162),f326(f326(f80(x84161),x84163),x84164)))+~P106(f326(f326(f235(x84161),f326(f326(f290(x84161),x84162),x84164)),x84163))
% 163.42/163.17 [8417]~P68(x84171)+~P106(f326(f326(f235(x84171),f2(x84171)),x84174))+P106(f326(f326(f235(x84171),x84172),f326(f326(f290(x84171),x84173),x84174)))+~P106(f326(f326(f235(x84171),f326(f326(f80(x84171),x84172),x84174)),x84173))
% 163.42/163.17 [8576]~P68(x85761)+~P106(f326(f326(f235(x85761),x85763),f2(x85761)))+~P106(f326(f326(f234(x85761),f326(f326(f290(x85761),x85764),x85763)),x85762))+P106(f326(f326(f234(x85761),f326(f326(f80(x85761),x85762),x85763)),x85764))
% 163.42/163.17 [8577]~P68(x85771)+~P106(f326(f326(f235(x85771),x85773),f2(x85771)))+~P106(f326(f326(f234(x85771),f326(f326(f80(x85771),x85774),x85773)),x85772))+P106(f326(f326(f234(x85771),f326(f326(f290(x85771),x85772),x85773)),x85774))
% 163.42/163.17 [8578]~P68(x85781)+~P106(f326(f326(f235(x85781),x85783),f2(x85781)))+~P106(f326(f326(f235(x85781),f326(f326(f290(x85781),x85784),x85783)),x85782))+P106(f326(f326(f235(x85781),f326(f326(f80(x85781),x85782),x85783)),x85784))
% 163.42/163.17 [8579]~P68(x85791)+~P106(f326(f326(f235(x85791),x85793),f2(x85791)))+~P106(f326(f326(f235(x85791),f326(f326(f80(x85791),x85794),x85793)),x85792))+P106(f326(f326(f235(x85791),f326(f326(f290(x85791),x85792),x85793)),x85794))
% 163.42/163.17 [8591]~P106(f326(x85911,x85914))+~P106(f326(f326(f235(a920),x85912),f326(f326(f80(a920),x85913),f326(a112,x85914))))+P106(f326(x85911,f326(f326(f35(a920),x85912),x85913)))+~P106(f326(f326(f234(a920),f326(f326(f80(a920),x85913),x85914)),x85912))
% 163.42/163.17 [8799]~P101(x87991)+~P106(f326(f60(x87991),x87994))+~P106(f326(f326(f328(x87991),x87992),x87994))+P106(f326(f326(f234(x87991),f326(f326(f110(x87991),x87992),x87993)),f326(f326(f63(x87991,x87991,f110(x87991)),x87993),x87994)))
% 163.42/163.17 [8800]~P109(x88001)+~P106(f326(f60(x88001),x88004))+~P106(f326(f326(f328(x88001),x88002),x88004))+P106(f326(f326(f234(x88001),f326(f326(f233(x88001),x88002),x88003)),f326(f326(f63(x88001,x88001,f233(x88001)),x88003),x88004)))
% 163.42/163.17 [8956]~P106(f326(f60(x89561),x89562))+E(f326(f34(x89561),f326(f326(f3(f928(x89561,a916)),x89562),f326(f326(f308(x89561),x89563),x89564))),f326(f326(f3(a920),f326(f34(x89561),f326(f326(f3(f928(x89561,a916)),x89562),x89564))),f77(a920)))+P106(f326(f326(f328(x89561),x89563),x89564))+~P106(f326(f326(f328(x89561),x89563),x89562))
% 163.42/163.17 [9033]E(f326(f326(f79(a1),f467(x90331,x90332,x90333,x90334)),f468(x90331,x90332,x90333,x90334)),x90334)+~P106(f326(f326(f235(a1),f2(a1)),x90333))+~P106(f326(f326(f234(a1),x90334),x90331))+P106(f326(f326(f234(a1),f326(f326(f3(a1),x90334),x90333)),x90331))
% 163.42/163.17 [9034]E(f326(f326(f79(a1),f477(x90341,x90342,x90343,x90344)),f478(x90341,x90342,x90343,x90344)),x90344)+~P106(f326(f326(f235(a1),f2(a1)),x90343))+~P106(f326(f326(f235(a1),x90344),x90341))+P106(f326(f326(f235(a1),f326(f326(f3(a1),x90344),x90343)),x90341))
% 163.42/163.17 [9238]~P106(f326(f326(f235(a1),f2(a1)),x92383))+~P106(f326(f326(f234(a1),x92384),x92381))+P106(f326(f326(f328(a1),f467(x92381,x92382,x92383,x92384)),x92382))+P106(f326(f326(f234(a1),f326(f326(f3(a1),x92384),x92383)),x92381))
% 163.42/163.17 [9239]~P106(f326(f326(f235(a1),f2(a1)),x92393))+~P106(f326(f326(f235(a1),x92394),x92391))+P106(f326(f326(f328(a1),f477(x92391,x92392,x92393,x92394)),x92392))+P106(f326(f326(f235(a1),f326(f326(f3(a1),x92394),x92393)),x92391))
% 163.42/163.17 [9325]~P106(f326(f326(f235(a1),f2(a1)),x93252))+~P106(f326(f326(f234(a1),x93251),x93253))+P106(f326(f326(f328(a1),f468(x93253,x93254,x93252,x93251)),f302(a1,f77(a1),x93252)))+P106(f326(f326(f234(a1),f326(f326(f3(a1),x93251),x93252)),x93253))
% 163.42/163.17 [9326]~P106(f326(f326(f235(a1),f2(a1)),x93262))+~P106(f326(f326(f235(a1),x93261),x93263))+P106(f326(f326(f328(a1),f478(x93263,x93264,x93262,x93261)),f302(a1,f77(a1),x93262)))+P106(f326(f326(f235(a1),f326(f326(f3(a1),x93261),x93262)),x93263))
% 163.42/163.17 [9344]~P106(f326(f326(f234(a1),f2(a1)),x93444))+~P106(f326(f326(f235(a1),f2(a1)),x93443))+~P106(f326(f326(f235(a1),x93444),x93441))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f326(f326(f80(a1),x93441),f44(a1,x93442,x93443))),x93444)))
% 163.42/163.17 [9373]E(x93731,x93732)+~P41(x93733,x93734)+~P106(f326(f326(f328(f927(x93733,x93733)),f326(f326(f251(x93733,x93733),x93732),x93731)),x93734))+~P106(f326(f326(f328(f927(x93733,x93733)),f326(f326(f251(x93733,x93733),x93731),x93732)),x93734))
% 163.42/163.17 [9405]~P102(x94051)+~P106(f326(f60(x94051),x94054))+~P106(f326(f326(f234(x94051),x94052),f344(x94053,x94052,x94054,x94051)))+P106(f326(f326(f234(x94051),f326(f326(f101(x94051),x94052),x94053)),f326(f326(f63(x94051,x94051,f101(x94051)),x94053),x94054)))
% 163.42/163.17 [9406]~P109(x94061)+~P106(f326(f60(x94061),x94064))+~P106(f326(f326(f234(x94061),x94062),f342(x94063,x94062,x94064,x94061)))+P106(f326(f326(f234(x94061),f326(f326(f188(x94061),x94062),x94063)),f326(f326(f63(x94061,x94061,f188(x94061)),x94063),x94064)))
% 163.42/163.17 [9423]~P106(f326(f326(f234(a1),x94234),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x94232))+~P106(f326(f326(f235(a1),x94231),x94234))+P106(f326(f326(f235(a1),f326(f326(f80(a1),x94231),x94232)),f326(f326(f79(a1),f326(f326(f80(a1),x94231),f44(a1,x94233,x94232))),x94234)))
% 163.42/163.17 [9448]P106(f326(f60(x94481),x94482))+~P106(f326(f60(x94481),x94483))+~P106(f326(f326(f328(f928(x94481,a916)),x94482),f326(f326(f59(x94481),x94483),x94484)))+~P106(f326(f326(f234(f928(f927(x94481,x94481),a916)),x94484),f326(f326(f253(x94481,x94481),x94483),f326(f18(f928(x94481,a916),x94481),x94483))))
% 163.42/163.17 [9472]~P109(x94721)+~P106(f326(f60(x94721),x94724))+P106(f326(f326(f328(x94721),f342(x94722,x94723,x94724,x94721)),x94724))+P106(f326(f326(f234(x94721),f326(f326(f188(x94721),x94723),x94722)),f326(f326(f63(x94721,x94721,f188(x94721)),x94722),x94724)))
% 163.42/163.17 [9473]~P102(x94731)+~P106(f326(f60(x94731),x94734))+P106(f326(f326(f328(x94731),f344(x94732,x94733,x94734,x94731)),x94734))+P106(f326(f326(f234(x94731),f326(f326(f101(x94731),x94733),x94732)),f326(f326(f63(x94731,x94731,f101(x94731)),x94732),x94734)))
% 163.42/163.17 [9885]~P106(f326(f60(x98852),x98854))+~P106(f326(f60(x98851),x98853))+~P106(f326(f326(f234(a920),f326(f34(x98852),x98854)),f326(f34(x98851),x98853)))+P106(f326(f326(f234(f928(x98851,a916)),f326(f309(x98852,x98851,f505(x98853,x98851,x98854,x98852)),x98854)),x98853))
% 163.42/163.17 [9523]~P106(f326(f326(f328(x95231),x95232),x95234))+P106(f326(f326(f328(x95231),x95232),x95233))+~P106(f326(f326(f235(f928(x95231,a916)),x95234),f326(f326(f308(x95231),x95232),x95233)))+P106(f326(f326(f235(f928(x95231,a916)),f326(f326(f3(f928(x95231,a916)),x95234),f326(f326(f308(x95231),x95232),f189(f928(x95231,a916))))),x95233))
% 163.42/163.17 [9698]~P106(f326(f326(f328(x96981),x96982),x96984))+P106(f326(f326(f328(x96981),x96982),x96983))+P106(f326(f326(f235(f928(x96981,a916)),x96984),f326(f326(f308(x96981),x96982),x96983)))+~P106(f326(f326(f235(f928(x96981,a916)),f326(f326(f3(f928(x96981,a916)),x96984),f326(f326(f308(x96981),x96982),f189(f928(x96981,a916))))),x96983))
% 163.42/163.17 [9724]P106(f326(f326(f328(x97241),x97242),x97243))+~P106(f326(f326(f234(f928(x97241,a916)),x97244),x97243))+P106(f326(f326(f235(f928(x97241,a916)),x97244),f326(f326(f308(x97241),x97242),x97243)))+~P106(f326(f326(f235(f928(x97241,a916)),f326(f326(f3(f928(x97241,a916)),x97244),f326(f326(f308(x97241),x97242),f189(f928(x97241,a916))))),x97243))
% 163.42/163.17 [9729]~P106(f326(f326(f328(x97291),x97293),x97292))+~P106(f326(f326(f235(f928(x97291,a916)),x97292),x97294))+P106(f326(f326(f235(f928(x97291,a916)),x97292),f326(f326(f308(x97291),x97293),x97294)))+~P106(f326(f326(f235(f928(x97291,a916)),f326(f326(f3(f928(x97291,a916)),x97292),f326(f326(f308(x97291),x97293),f189(f928(x97291,a916))))),x97294))
% 163.42/163.17 [9745]~P106(f326(f326(f234(f928(x97451,a916)),x97452),x97454))+~P106(f326(f326(f235(f928(x97451,a916)),x97452),x97454))+P106(f326(f326(f235(f928(x97451,a916)),x97452),f326(f326(f308(x97451),x97453),x97454)))+~P106(f326(f326(f235(f928(x97451,a916)),f326(f326(f3(f928(x97451,a916)),x97452),f326(f326(f308(x97451),x97453),f189(f928(x97451,a916))))),x97454))
% 163.42/163.17 [9790]~P110(x97902)+~P64(x97901)+~P106(f326(f326(f234(f928(x97901,x97902)),x97903),x97904))+P106(f326(f56(x97901),f326(f326(f20(x97901,x97902,a916),f326(f326(f10(x97902,f928(x97902,a916),x97901),f234(x97902)),x97903)),x97904)))
% 163.42/163.17 [9933]~P110(x99332)+~P64(x99331)+P106(f326(f326(f234(f928(x99331,x99332)),x99333),x99334))+~P106(f326(f56(x99331),f326(f326(f20(x99331,x99332,a916),f326(f326(f10(x99332,f928(x99332,a916),x99331),f234(x99332)),x99333)),x99334)))
% 163.42/163.17 [10099]E(f326(f326(f164(x100991),f326(f326(f164(f921(x100991)),f179(x100991,x100992)),x100993)),x100994),f326(f326(f164(x100991),f326(f326(f164(f921(x100991)),x100992),x100994)),x100993))+~P106(f326(f326(f235(a920),x100993),f326(f190(f921(f921(x100991))),f179(x100991,x100992))))+~P14(a920,f326(f168(a920),f326(f326(f154(f921(x100991),a920),f190(f921(x100991))),x100992)))+~P106(f326(f326(f235(a920),x100994),f326(f190(f921(f921(x100991))),f326(f136(f921(x100991),f326(f326(f10(a920,a916,f921(x100991)),f326(f235(a920),x100993)),f190(f921(x100991)))),x100992))))
% 163.42/163.17 [10120]~P106(f326(f326(f328(f927(a920,a920)),x101204),x101201))+~P106(f326(f326(f328(f927(f927(a920,a920),f927(a920,a920))),f326(f326(f251(f927(a920,a920),f927(a920,a920)),x101204),x101202)),a32))+~P106(f326(f326(f328(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f251(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x101201),x101203)),a68))+P106(f326(f326(f328(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f251(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x101201),f326(f326(f308(f927(a920,a920)),x101202),x101203))),a68))
% 163.42/163.17 [10121]~P106(f326(f326(f328(f927(a920,a920)),x101214),x101211))+~P106(f326(f326(f328(f927(f927(a920,a920),f927(a920,a920))),f326(f326(f251(f927(a920,a920),f927(a920,a920)),x101214),x101212)),a70))+~P106(f326(f326(f328(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f251(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x101211),x101213)),a71))+P106(f326(f326(f328(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f251(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x101211),f326(f326(f308(f927(a920,a920)),x101212),x101213))),a71))
% 163.42/163.17 [10010]~P110(x100102)+~P64(x100101)+~P106(f326(f326(f235(f928(x100101,x100102)),x100103),x100104))+P106(f326(f55(x100101),f326(f326(f10(a916,a916,x100101),a321),f326(f326(f20(x100101,x100102,a916),f326(f326(f10(x100102,f928(x100102,a916),x100101),a323),x100103)),x100104))))
% 163.42/163.17 [10134]~P106(f326(f326(f328(f927(a920,a920)),x101344),x101343))+~P106(f326(f326(f328(f927(f927(a920,a920),f927(a920,a920))),f326(f326(f251(f927(a920,a920),f927(a920,a920)),x101341),x101344)),a32))+~P106(f326(f326(f328(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f251(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x101342),x101343)),a33))+P106(f326(f326(f328(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f251(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),f326(f326(f308(f927(a920,a920)),x101341),x101342)),x101343)),a33))
% 163.42/163.17 [10135]~P106(f326(f326(f328(f927(a920,a920)),x101354),x101353))+~P106(f326(f326(f328(f927(f927(a920,a920),f927(a920,a920))),f326(f326(f251(f927(a920,a920),f927(a920,a920)),x101351),x101354)),a70))+~P106(f326(f326(f328(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f251(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),x101352),x101353)),a69))+P106(f326(f326(f328(f927(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916))),f326(f326(f251(f928(f927(a920,a920),a916),f928(f927(a920,a920),a916)),f326(f326(f308(f927(a920,a920)),x101351),x101352)),x101353)),a69))
% 163.42/163.17 [6244]~P8(x62444,x62441)+~P106(f326(f326(x62441,x62442),x62445))+P106(f326(f326(x62441,x62442),x62443))+~P106(f326(f326(x62441,x62445),x62443))
% 163.42/163.17 [6245]~P51(x62454,x62451)+~P106(f326(f326(x62451,x62452),x62455))+P106(f326(f326(x62451,x62452),x62453))+~P106(f326(f326(x62451,x62455),x62453))
% 163.42/163.17 [6246]~P16(x62464,x62461)+~P106(f326(f326(x62461,x62462),x62465))+P106(f326(f326(x62461,x62462),x62463))+~P106(f326(f326(x62461,x62465),x62463))
% 163.42/163.17 [8941]~P8(x89414,x89413)+~P106(f326(x89411,x89415))+P106(f326(x89412,f833(x89412,x89411,x89413,x89414)))+P106(f326(x89411,f831(x89412,x89411,x89413,x89414)))
% 163.42/163.17 [9175]~P8(x91754,x91753)+~P106(f326(x91752,x91755))+~P106(f326(x91751,f831(x91751,x91752,x91753,x91754)))+P106(f326(x91751,f833(x91751,x91752,x91753,x91754)))
% 163.42/163.17 [9357]~P8(x93574,x93573)+~P106(f326(x93571,x93575))+P106(f326(f326(f328(x93574),f833(x93572,x93571,x93573,x93574)),f269(x93574,x93573)))+P106(f326(x93571,f831(x93572,x93571,x93573,x93574)))
% 163.42/163.17 [9481]~P8(x94811,x94814)+~P106(f326(x94813,x94815))+~P106(f326(x94812,f831(x94812,x94813,x94814,x94811)))+P106(f326(f326(f328(x94811),f833(x94812,x94813,x94814,x94811)),f269(x94811,x94814)))
% 163.42/163.17 [9779]~P40(x97791,x97794)+P106(f326(f326(f328(f927(f921(x97791),f921(x97791))),f326(f326(f251(f921(x97791),f921(x97791)),x97792),x97793)),f147(x97791,x97794)))+~P106(f326(f326(f328(f927(f921(x97791),f921(x97791))),f326(f326(f251(f921(x97791),f921(x97791)),x97792),x97795)),f147(x97791,x97794)))+~P106(f326(f326(f328(f927(f921(x97791),f921(x97791))),f326(f326(f251(f921(x97791),f921(x97791)),x97795),x97793)),f147(x97791,x97794)))
% 163.42/163.17 [5481]~P69(x54815)+E(x54811,x54812)+~E(x54813,x54814)+~E(f326(f326(f3(x54815),x54813),x54814),f326(f326(f3(x54815),x54811),x54812))
% 163.42/163.17 [6362]~P18(x63625,x63621,x63623)+E(f326(f326(x63621,x63622),f326(x63623,x63624)),f326(x63623,x63624))+~P106(f326(f60(x63625),x63624))+~P106(f326(f326(f328(x63625),x63622),x63624))
% 163.42/163.17 [6555]~P80(x65551)+~E(f326(f326(f3(x65551),x65554),x65555),f326(f326(f3(x65551),x65552),x65553))+~P106(f326(f326(f234(x65551),x65554),x65555))+P106(f326(f326(f234(x65551),x65552),x65553))
% 163.42/163.17 [6557]~P80(x65571)+~E(f326(f326(f3(x65571),x65574),x65575),f326(f326(f3(x65571),x65572),x65573))+~P106(f326(f326(f235(x65571),x65574),x65575))+P106(f326(f326(f235(x65571),x65572),x65573))
% 163.42/163.17 [7532]~E(x75322,f326(f326(f151(x75321),x75324),x75325))+P106(f326(f326(f328(f921(x75321)),x75322),f161(x75321,x75323)))+~P106(f326(f326(f328(f921(x75321)),x75325),f161(x75321,x75323)))+~P106(f326(f326(f328(x75321),x75324),x75323))
% 163.42/163.17 [7935]~E(f326(f190(f921(x79351)),x79353),f326(f190(f921(x79352)),x79354))+~E(f326(f326(f154(f927(x79351,x79352),x79352),f255(x79351,x79352)),x79355),x79354)+~E(f326(f326(f154(f927(x79351,x79352),x79351),f250(x79351,x79352)),x79355),x79353)+E(f326(f326(f181(x79351,x79352),x79353),x79354),x79355)
% 163.42/163.17 [8267]~P110(x82671)+P106(f326(f326(f235(f928(x82671,a916)),f302(x82671,x82672,x82673)),f302(x82671,x82674,x82675)))+~P106(f326(f326(f234(x82671),x82674),x82675))+P106(f326(f326(f234(x82671),x82672),x82673))
% 163.42/163.17 [8366]~P110(x83661)+P106(f326(f326(f234(f928(x83661,a916)),f302(x83661,x83662,x83663)),f302(x83661,x83664,x83665)))+~P106(f326(f326(f234(x83661),x83663),x83665))+~P106(f326(f326(f234(x83661),x83664),x83662))
% 163.42/163.17 [8484]~P109(x84841)+P106(f326(f326(f234(x84841),x84842),x84843))+P106(f326(f326(f234(x84841),x84844),x84843))+~P106(f326(f326(f234(f928(x84841,a916)),f326(f301(x84841,x84843),x84842)),f326(f301(x84841,x84844),x84845)))
% 163.42/163.17 [8485]~P109(x84851)+P106(f326(f326(f234(x84851),x84852),x84853))+P106(f326(f326(f234(x84851),x84852),x84854))+~P106(f326(f326(f234(f928(x84851,a916)),f326(f301(x84851,x84853),x84852)),f326(f301(x84851,x84855),x84854)))
% 163.42/163.17 [8716]~P110(x87161)+~P106(f326(f326(f234(f928(x87161,a916)),f302(x87161,x87164,x87162)),f302(x87161,x87165,x87163)))+P106(f326(f326(f234(x87161),x87162),x87163))+~P106(f326(f326(f234(x87161),x87164),x87162))
% 163.42/163.17 [8717]~P110(x87171)+~P106(f326(f326(f235(f928(x87171,a916)),f302(x87171,x87174,x87172)),f302(x87171,x87175,x87173)))+P106(f326(f326(f234(x87171),x87172),x87173))+~P106(f326(f326(f234(x87171),x87174),x87172))
% 163.42/163.17 [8718]~P110(x87181)+~P106(f326(f326(f234(f928(x87181,a916)),f302(x87181,x87183,x87184)),f302(x87181,x87182,x87185)))+P106(f326(f326(f234(x87181),x87182),x87183))+~P106(f326(f326(f234(x87181),x87183),x87184))
% 163.42/163.17 [8719]~P110(x87191)+~P106(f326(f326(f235(f928(x87191,a916)),f302(x87191,x87193,x87194)),f302(x87191,x87192,x87195)))+P106(f326(f326(f234(x87191),x87192),x87193))+~P106(f326(f326(f234(x87191),x87193),x87194))
% 163.42/163.17 [6243]~P18(x62432,x62435,x62433)+E(x62431,f189(f928(x62432,a916)))+~P106(f326(f60(x62432),x62431))+E(f326(x62433,f326(f326(f308(x62432),x62434),x62431)),f326(f326(x62435,x62434),f326(x62433,x62431)))
% 163.42/163.17 [7025]~E(x70251,x70252)+~E(f326(f326(f101(f928(x70253,a916)),x70254),x70255),f189(f928(x70253,a916)))+~P106(f326(f326(f328(x70253),x70252),x70255))+~P106(f326(f326(f328(x70253),x70251),x70254))
% 163.42/163.17 [7106]~P19(x71062,x71065,x71061)+~P106(f326(f60(x71062),x71064))+E(f326(x71061,f326(f326(f308(x71062),x71063),x71064)),f326(f326(f63(x71062,x71062,x71065),x71063),x71064))+P106(f326(f326(f328(x71062),x71063),x71064))
% 163.42/163.17 [7173]~P72(x71732)+~P106(f326(f60(x71731),x71735))+E(f326(f326(f8(x71731,x71732),x71733),f326(f326(f308(x71731),x71734),x71735)),f326(f326(f79(x71732),f326(x71733,x71734)),f326(f326(f8(x71731,x71732),x71733),x71735)))+P106(f326(f326(f328(x71731),x71734),x71735))
% 163.42/163.17 [7175]~P77(x71752)+~P106(f326(f60(x71751),x71755))+E(f326(f326(f11(x71751,x71752),x71753),f326(f326(f308(x71751),x71754),x71755)),f326(f326(f80(x71752),f326(x71753,x71754)),f326(f326(f11(x71751,x71752),x71753),x71755)))+P106(f326(f326(f328(x71751),x71754),x71755))
% 163.42/163.17 [7578]~P113(x75781)+~P106(f326(f60(x75784),x75785))+~P106(f326(f326(f328(x75784),x75783),x75785))+P106(f326(f326(f286(x75781),f326(x75782,x75783)),f326(f326(f11(x75784,x75781),x75782),x75785)))
% 163.42/163.17 [7678]~P19(x76782,x76785,x76781)+~P106(f326(f60(x76782),x76784))+E(f326(x76781,f326(f326(f308(x76782),x76783),x76784)),x76783)+~E(f326(f326(f3(f928(x76782,a916)),x76784),f326(f326(f308(x76782),x76783),f189(f928(x76782,a916)))),f189(f928(x76782,a916)))
% 163.42/163.17 [8034]~P62(x80341)+E(f326(f326(f35(x80341),f326(f326(f80(x80341),x80342),x80343)),f326(f326(f80(x80341),x80344),x80345)),f326(f326(f80(x80341),f326(f326(f35(x80341),x80342),x80344)),f326(f326(f35(x80341),x80343),x80345)))+~P106(f326(f326(f286(x80341),x80345),x80343))+~P106(f326(f326(f286(x80341),x80344),x80342))
% 163.42/163.17 [8038]~P101(x80381)+~P106(f326(f326(f234(x80381),x80383),x80385))+~P106(f326(f326(f234(x80381),x80382),x80384))+P106(f326(f326(f234(x80381),f326(f326(f110(x80381),x80382),x80383)),f326(f326(f110(x80381),x80384),x80385)))
% 163.42/163.17 [8039]~P102(x80391)+~P106(f326(f326(f234(x80391),x80393),x80395))+~P106(f326(f326(f234(x80391),x80392),x80394))+P106(f326(f326(f234(x80391),f326(f326(f101(x80391),x80392),x80393)),f326(f326(f101(x80391),x80394),x80395)))
% 163.42/163.17 [8040]~P86(x80401)+~P106(f326(f326(f234(x80401),x80403),x80405))+~P106(f326(f326(f234(x80401),x80402),x80404))+P106(f326(f326(f234(x80401),f326(f326(f79(x80401),x80402),x80403)),f326(f326(f79(x80401),x80404),x80405)))
% 163.42/163.17 [8041]~P109(x80411)+~P106(f326(f326(f234(x80411),x80413),x80415))+~P106(f326(f326(f234(x80411),x80412),x80414))+P106(f326(f326(f234(x80411),f326(f326(f188(x80411),x80412),x80413)),f326(f326(f188(x80411),x80414),x80415)))
% 163.42/163.17 [8042]~P109(x80421)+~P106(f326(f326(f234(x80421),x80423),x80425))+~P106(f326(f326(f234(x80421),x80422),x80424))+P106(f326(f326(f234(x80421),f326(f326(f233(x80421),x80422),x80423)),f326(f326(f233(x80421),x80424),x80425)))
% 163.42/163.17 [8043]~P84(x80431)+~P106(f326(f326(f234(x80431),x80433),x80435))+~P106(f326(f326(f235(x80431),x80432),x80434))+P106(f326(f326(f235(x80431),f326(f326(f79(x80431),x80432),x80433)),f326(f326(f79(x80431),x80434),x80435)))
% 163.42/163.17 [8044]~P84(x80441)+~P106(f326(f326(f234(x80441),x80442),x80444))+~P106(f326(f326(f235(x80441),x80443),x80445))+P106(f326(f326(f235(x80441),f326(f326(f79(x80441),x80442),x80443)),f326(f326(f79(x80441),x80444),x80445)))
% 163.42/163.17 [8045]~P84(x80451)+~P106(f326(f326(f235(x80451),x80453),x80455))+~P106(f326(f326(f235(x80451),x80452),x80454))+P106(f326(f326(f235(x80451),f326(f326(f79(x80451),x80452),x80453)),f326(f326(f79(x80451),x80454),x80455)))
% 163.42/163.17 [8046]~P113(x80461)+~P106(f326(f326(f286(x80461),x80463),x80465))+~P106(f326(f326(f286(x80461),x80462),x80464))+P106(f326(f326(f286(x80461),f326(f326(f80(x80461),x80462),x80463)),f326(f326(f80(x80461),x80464),x80465)))
% 163.42/163.17 [8183]~P140(x81835)+E(x81831,x81832)+E(x81833,x81834)+~E(f326(f326(f79(x81835),f326(f326(f80(x81835),x81833),x81831)),f326(f326(f80(x81835),x81834),x81832)),f326(f326(f79(x81835),f326(f326(f80(x81835),x81833),x81832)),f326(f326(f80(x81835),x81834),x81831)))
% 163.42/163.17 [8386]~P109(x83864)+~P106(f326(f137(x83861),x83863))+P106(f326(f326(f328(x83861),x83862),f326(f172(x83861),x83863)))+P106(f326(f137(x83861),f326(f326(f148(x83861,x83864,x83865),x83862),x83863)))
% 163.42/163.17 [8531]~P69(x85311)+E(f326(f326(f3(x85311),f326(f326(f8(a920,x85311),x85312),f326(f301(a920,x85313),x85314))),f326(f326(f8(a920,x85311),x85312),f326(f301(a920,x85313),x85315))),f326(f326(f8(a920,x85311),x85312),f326(f301(a920,x85315),x85314)))+~P106(f326(f326(f234(a920),x85315),x85314))+~P106(f326(f326(f234(a920),x85313),x85315))
% 163.42/163.17 [8532]~P72(x85321)+E(f326(f326(f79(x85321),f326(f326(f8(a920,x85321),x85322),f326(f301(a920,x85323),x85324))),f326(f326(f8(a920,x85321),x85322),f326(f301(a920,x85324),x85325))),f326(f326(f8(a920,x85321),x85322),f326(f301(a920,x85323),x85325)))+~P106(f326(f326(f234(a920),x85324),x85325))+~P106(f326(f326(f234(a920),x85323),x85324))
% 163.42/163.17 [8861]~P66(x88612)+E(x88611,f2(x88612))+E(x88613,f2(x88612))+E(f326(f326(f290(x88612),f326(f326(f3(x88612),f326(f326(f80(x88612),x88614),x88611)),f326(f326(f80(x88612),x88615),x88613))),f326(f326(f80(x88612),x88613),x88611)),f326(f326(f3(x88612),f326(f326(f290(x88612),x88614),x88613)),f326(f326(f290(x88612),x88615),x88611)))
% 163.42/163.17 [8862]~P66(x88622)+E(x88621,f2(x88622))+E(x88623,f2(x88622))+E(f326(f326(f290(x88622),f326(f326(f79(x88622),f326(f326(f80(x88622),x88624),x88621)),f326(f326(f80(x88622),x88625),x88623))),f326(f326(f80(x88622),x88623),x88621)),f326(f326(f79(x88622),f326(f326(f290(x88622),x88624),x88623)),f326(f326(f290(x88622),x88625),x88621)))
% 163.42/163.17 [8871]~E(x88712,f326(x88713,x88711))+E(x88711,f502(x88712,x88713,x88714,x88715))+~P26(x88715,x88714,x88713,f241(f928(x88715,a916)))+~P106(f326(f326(f328(x88714),x88712),f326(f309(x88715,x88714,x88713),f241(f928(x88715,a916)))))
% 163.42/163.17 [9089]~P120(x90891)+~P106(f326(f326(f235(x90891),f326(f75(x90891),x90892)),x90894))+P106(f326(f326(f235(x90891),f326(f326(f80(x90891),f326(f75(x90891),x90892)),f326(f75(x90891),x90893))),f326(f326(f80(x90891),x90894),x90895)))+~P106(f326(f326(f235(x90891),f326(f75(x90891),x90893)),x90895))
% 163.42/163.17 [9200]~P26(x92001,x92003,x92005,x92002)+~P106(f326(f60(x92003),x92004))+P106(f326(f326(f234(a920),f326(f34(x92001),x92002)),f326(f34(x92003),x92004)))+~P106(f326(f326(f234(f928(x92003,a916)),f326(f309(x92001,x92003,x92005),x92002)),x92004))
% 163.42/163.17 [9267]~P72(x92672)+~P26(x92671,x92671,x92674,x92675)+~P106(f326(f60(x92671),x92675))+E(f326(f326(f8(x92671,x92672),f326(f72(x92671,x92672,x92671,x92673),x92674)),x92675),f326(f326(f8(x92671,x92672),x92673),f326(f309(x92671,x92671,x92674),x92675)))
% 163.42/163.17 [9268]~P77(x92682)+~P26(x92681,x92681,x92684,x92685)+~P106(f326(f60(x92681),x92685))+E(f326(f326(f11(x92681,x92682),f326(f72(x92681,x92682,x92681,x92683),x92684)),x92685),f326(f326(f11(x92681,x92682),x92683),f326(f309(x92681,x92681,x92684),x92685)))
% 163.42/163.17 [9385]~P39(x93851,x93852)+~P106(f326(f326(f328(x93851),x93853),x93854))+~P106(f326(f326(f328(x93851),x93855),x93854))+~P106(f326(f326(f328(f927(x93851,x93851)),f326(f326(f251(x93851,x93851),x93855),f618(x93852,x93851,x93854))),x93852))
% 163.42/163.17 [9422]~P26(x94222,x94223,x94225,x94221)+E(x94221,f189(f928(x94222,a916)))+E(f326(f309(x94223,x94222,f504(x94224,x94223,x94222,x94221)),x94224),x94221)+~P106(f326(f326(f234(f928(x94223,a916)),f326(f309(x94222,x94223,x94225),x94221)),x94224))
% 163.42/163.17 [9914]~P109(x99145)+~P6(x99145)+P106(f326(f326(f328(x99141),f435(x99142,x99143,x99141,x99144,x99145)),x99143))+~P106(f326(f326(f235(x99145),x99144),f326(f326(f39(x99141,x99145),x99143),x99142)))
% 163.42/163.17 [9919]~P109(x99191)+~P6(x99191)+P106(f326(f326(f235(x99191),x99192),f326(x99193,f435(x99193,x99194,x99195,x99192,x99191))))+~P106(f326(f326(f235(x99191),x99192),f326(f326(f39(x99195,x99191),x99194),x99193)))
% 163.42/163.17 [9997]~P70(x99971)+~P106(f326(f65(x99971,x99971,f80(x99971),x99972,x99973),x99975))+P106(f326(f326(f328(x99971),x99972),x99973))+P106(f326(f65(x99971,x99971,f80(x99971),x99974,f326(f326(f308(x99971),x99972),x99973)),f326(f326(f80(x99971),x99974),x99975)))
% 163.42/163.17 [10212]~P72(x102122)+~P106(f326(f60(x102121),x102125))+E(f326(f326(f8(x102121,x102122),f326(f326(f9(x102121,x102122,x102122),f326(f326(f20(x102121,x102122,f928(x102122,x102122)),f326(f326(f10(a916,f928(x102122,f928(x102122,x102122)),x102121),f96(x102122)),f326(a323,x102123))),x102124)),f2(x102122))),x102125),f2(x102122))+P106(f326(f326(f328(x102121),x102123),x102125))
% 163.42/163.17 [10213]~P77(x102132)+~P106(f326(f60(x102131),x102135))+E(f326(f326(f11(x102131,x102132),f326(f326(f9(x102131,x102132,x102132),f326(f326(f20(x102131,x102132,f928(x102132,x102132)),f326(f326(f10(a916,f928(x102132,f928(x102132,x102132)),x102131),f96(x102132)),f326(a323,x102133))),x102134)),f77(x102132))),x102135),f77(x102132))+P106(f326(f326(f328(x102131),x102133),x102135))
% 163.42/163.17 [10214]~P72(x102142)+~P106(f326(f60(x102141),x102145))+E(f326(f326(f8(x102141,x102142),f326(f326(f9(x102141,x102142,x102142),f326(f326(f20(x102141,x102142,f928(x102142,x102142)),f326(f326(f10(a916,f928(x102142,f928(x102142,x102142)),x102141),f96(x102142)),f326(a323,x102143))),x102144)),f2(x102142))),x102145),f326(x102144,x102143))+~P106(f326(f326(f328(x102141),x102143),x102145))
% 163.42/163.17 [10215]~P77(x102152)+~P106(f326(f60(x102151),x102155))+E(f326(f326(f11(x102151,x102152),f326(f326(f9(x102151,x102152,x102152),f326(f326(f20(x102151,x102152,f928(x102152,x102152)),f326(f326(f10(a916,f928(x102152,f928(x102152,x102152)),x102151),f96(x102152)),f326(a323,x102153))),x102154)),f77(x102152))),x102155),f326(x102154,x102153))+~P106(f326(f326(f328(x102151),x102153),x102155))
% 163.42/163.17 [10272]~P72(x102722)+~P106(f326(f60(x102721),x102725))+E(f326(f326(f8(x102721,x102722),f326(f326(f9(x102721,x102722,x102722),f326(f326(f20(x102721,x102722,f928(x102722,x102722)),f326(f326(f10(a916,f928(x102722,f928(x102722,x102722)),x102721),f96(x102722)),f326(f326(f9(x102721,x102721,a916),a323),x102723))),x102724)),f2(x102722))),x102725),f2(x102722))+P106(f326(f326(f328(x102721),x102723),x102725))
% 163.42/163.17 [10273]~P77(x102732)+~P106(f326(f60(x102731),x102735))+E(f326(f326(f11(x102731,x102732),f326(f326(f9(x102731,x102732,x102732),f326(f326(f20(x102731,x102732,f928(x102732,x102732)),f326(f326(f10(a916,f928(x102732,f928(x102732,x102732)),x102731),f96(x102732)),f326(f326(f9(x102731,x102731,a916),a323),x102733))),x102734)),f77(x102732))),x102735),f77(x102732))+P106(f326(f326(f328(x102731),x102733),x102735))
% 163.42/163.17 [10275]~P72(x102752)+~P106(f326(f60(x102751),x102755))+E(f326(f326(f8(x102751,x102752),f326(f326(f9(x102751,x102752,x102752),f326(f326(f20(x102751,x102752,f928(x102752,x102752)),f326(f326(f10(a916,f928(x102752,f928(x102752,x102752)),x102751),f96(x102752)),f326(f326(f9(x102751,x102751,a916),a323),x102753))),x102754)),f2(x102752))),x102755),f326(x102754,x102753))+~P106(f326(f326(f328(x102751),x102753),x102755))
% 163.42/163.17 [10276]~P77(x102762)+~P106(f326(f60(x102761),x102765))+E(f326(f326(f11(x102761,x102762),f326(f326(f9(x102761,x102762,x102762),f326(f326(f20(x102761,x102762,f928(x102762,x102762)),f326(f326(f10(a916,f928(x102762,f928(x102762,x102762)),x102761),f96(x102762)),f326(f326(f9(x102761,x102761,a916),a323),x102763))),x102764)),f77(x102762))),x102765),f326(x102764,x102763))+~P106(f326(f326(f328(x102761),x102763),x102765))
% 163.42/163.17 [8037]~P69(x80372)+~P106(f326(f60(x80371),x80374))+E(f326(f326(f8(x80371,x80372),x80373),f326(f326(f3(f928(x80371,a916)),x80374),f326(f326(f308(x80371),x80375),f189(f928(x80371,a916))))),f326(f326(f8(x80371,x80372),x80373),x80374))+P106(f326(f326(f328(x80371),x80375),x80374))
% 163.42/163.17 [8539]~P111(x85392)+~P106(f326(f60(x85391),x85394))+E(f326(f326(f8(x85391,x85392),x85393),f326(f326(f3(f928(x85391,a916)),x85394),f326(f326(f308(x85391),x85395),f189(f928(x85391,a916))))),f326(f326(f3(x85392),f326(f326(f8(x85391,x85392),x85393),x85394)),f326(x85393,x85395)))+~P106(f326(f326(f328(x85391),x85395),x85394))
% 163.42/163.17 [8540]~P69(x85402)+~P106(f326(f60(x85401),x85404))+E(f326(f326(f8(x85401,x85402),x85403),f326(f326(f3(f928(x85401,a916)),x85404),f326(f326(f308(x85401),x85405),f189(f928(x85401,a916))))),f326(f326(f3(x85402),f326(f326(f8(x85401,x85402),x85403),x85404)),f326(x85403,x85405)))+~P106(f326(f326(f328(x85401),x85405),x85404))
% 163.42/163.17 [8569]~P69(x85691)+~P106(f326(f60(x85692),x85694))+E(f326(f326(f3(x85691),f326(f326(f8(x85692,x85691),x85693),x85694)),f326(f326(f8(x85692,x85691),x85693),x85695)),f326(f326(f8(x85692,x85691),x85693),f326(f326(f3(f928(x85692,a916)),x85694),x85695)))+~P106(f326(f326(f234(f928(x85692,a916)),x85695),x85694))
% 163.42/163.17 [8588]P106(f326(f60(x85881),f326(x85882,x85883)))+~P106(f326(f60(x85884),x85885))+~P106(f326(f326(f328(x85884),x85883),x85885))+~P106(f326(f60(x85881),f326(f326(f39(x85884,f928(x85881,a916)),x85885),x85882)))
% 163.42/163.17 [9045]~P9(x90451,x90455,x90454)+~E(f326(f284(x90451,x90451,x90454),f326(f326(f308(x90451),x90452),f189(f928(x90451,a916)))),f326(f284(x90451,x90451,x90454),f326(f326(f308(x90451),x90453),f189(f928(x90451,a916)))))+~P106(f326(f326(f328(x90451),x90453),x90455))+P106(f326(f326(f328(f927(x90451,x90451)),f326(f326(f251(x90451,x90451),x90452),x90453)),x90454))
% 163.42/163.17 [9342]~P106(f326(x93421,x93425))+P106(f326(x93421,f358(x93421,x93422,x93423,x93424)))+P106(f326(x93421,f348(x93421,x93422,x93423,x93424)))+~P106(f326(f326(f328(x93424),x93425),f326(f326(f110(f928(x93424,a916)),x93423),x93422)))
% 163.42/163.17 [9528]~P106(f326(x95281,x95285))+P106(f326(x95281,f348(x95281,x95282,x95283,x95284)))+P106(f326(f326(f328(x95284),f358(x95281,x95282,x95283,x95284)),x95282))+~P106(f326(f326(f328(x95284),x95285),f326(f326(f110(f928(x95284,a916)),x95283),x95282)))
% 163.42/163.17 [9529]~P106(f326(x95291,x95295))+P106(f326(x95291,f358(x95291,x95292,x95293,x95294)))+P106(f326(f326(f328(x95294),f348(x95291,x95292,x95293,x95294)),x95293))+~P106(f326(f326(f328(x95294),x95295),f326(f326(f110(f928(x95294,a916)),x95293),x95292)))
% 163.42/163.17 [9533]P106(f326(x95331,x95332))+~P106(f326(x95331,f399(x95331,x95333,x95334,x95335)))+~P106(f326(x95331,f388(x95331,x95333,x95334,x95335)))+~P106(f326(f326(f328(x95335),x95332),f326(f326(f110(f928(x95335,a916)),x95334),x95333)))
% 163.42/163.17 [9538]~P40(x95381,x95384)+~P106(f326(f326(f328(f927(x95381,x95381)),f326(f326(f251(x95381,x95381),x95382),x95385)),x95384))+P106(f326(f326(f328(f927(x95381,x95381)),f326(f326(f251(x95381,x95381),x95382),x95383)),x95384))+~P106(f326(f326(f328(f927(x95381,x95381)),f326(f326(f251(x95381,x95381),x95385),x95383)),x95384))
% 163.42/163.17 [9577]E(x95771,x95772)+~P106(f326(f326(f328(f927(x95773,x95773)),f326(f326(f251(x95773,x95773),x95771),x95772)),f306(x95773,x95775)))+P106(f326(f326(f328(x95773),x95771),x95774))+~P106(f326(f326(f234(f928(f927(x95773,x95773),a916)),x95775),f326(f326(f253(x95773,x95773),x95774),f326(f18(f928(x95773,a916),x95773),x95774))))
% 163.42/163.17 [9595]P106(f326(x95951,x95952))+~P106(f326(x95951,f388(x95951,x95954,x95955,x95953)))+P106(f326(f326(f328(x95953),f399(x95951,x95954,x95955,x95953)),x95954))+~P106(f326(f326(f328(x95953),x95952),f326(f326(f110(f928(x95953,a916)),x95955),x95954)))
% 163.42/163.17 [9596]P106(f326(x95961,x95962))+~P106(f326(x95961,f399(x95961,x95964,x95965,x95963)))+P106(f326(f326(f328(x95963),f388(x95961,x95964,x95965,x95963)),x95965))+~P106(f326(f326(f328(x95963),x95962),f326(f326(f110(f928(x95963,a916)),x95965),x95964)))
% 163.42/163.17 [9664]P106(f326(x96641,x96642))+P106(f326(f326(f328(x96643),f399(x96641,x96644,x96645,x96643)),x96644))+P106(f326(f326(f328(x96643),f388(x96641,x96644,x96645,x96643)),x96645))+~P106(f326(f326(f328(x96643),x96642),f326(f326(f110(f928(x96643,a916)),x96645),x96644)))
% 163.42/163.17 [9666]~P106(f326(x96662,x96665))+P106(f326(f326(f328(x96661),f358(x96662,x96663,x96664,x96661)),x96663))+P106(f326(f326(f328(x96661),f348(x96662,x96663,x96664,x96661)),x96664))+~P106(f326(f326(f328(x96661),x96665),f326(f326(f110(f928(x96661,a916)),x96664),x96663)))
% 163.42/163.17 [9821]~P9(x98211,x98215,x98214)+~P106(f326(f326(f328(x98211),x98213),x98215))+P106(f326(f326(f328(f927(x98211,x98211)),f326(f326(f251(x98211,x98211),x98212),x98213)),x98214))+~P106(f326(f326(f234(f928(x98211,a916)),f326(f284(x98211,x98211,x98214),f326(f326(f308(x98211),x98213),f189(f928(x98211,a916))))),f326(f284(x98211,x98211,x98214),f326(f326(f308(x98211),x98212),f189(f928(x98211,a916))))))
% 163.42/163.17 [9948]~P109(x99485)+~P6(x99485)+P106(f326(f326(f328(x99481),f436(x99482,x99483,x99484,x99481,x99485)),x99484))+~P106(f326(f326(f235(x99485),f326(f326(f38(x99481,x99485),x99484),x99483)),x99482))
% 163.42/163.17 [9980]~P86(x99805)+~P83(x99805)+P106(f326(f326(f328(x99801),f695(x99802,x99803,x99804,x99801,x99805)),f326(f172(x99801),x99804)))+P106(f326(f326(f234(x99805),f326(f165(x99805),f326(f326(f154(x99801,x99805),x99803),x99804))),f326(f165(x99805),f326(f326(f154(x99801,x99805),x99802),x99804))))
% 163.42/163.17 [10089]~P109(x100891)+~P6(x100891)+P106(f326(f326(f235(x100891),f326(x100892,f436(x100893,x100892,x100894,x100895,x100891))),x100893))+~P106(f326(f326(f235(x100891),f326(f326(f38(x100895,x100891),x100894),x100892)),x100893))
% 163.42/163.17 [10230]~P86(x102301)+~P83(x102301)+~P106(f326(f326(f234(x102301),f326(x102303,f695(x102305,x102303,x102304,x102302,x102301))),f326(x102305,f695(x102305,x102303,x102304,x102302,x102301))))+P106(f326(f326(f234(x102301),f326(f165(x102301),f326(f326(f154(x102302,x102301),x102303),x102304))),f326(f165(x102301),f326(f326(f154(x102302,x102301),x102305),x102304))))
% 163.42/163.17 [8885]~P72(x88851)+~P106(f326(f60(x88854),x88855))+~P106(f326(f326(f328(x88854),x88853),x88855))+E(f326(f326(f79(x88851),f326(x88852,x88853)),f326(f326(f8(x88854,x88851),x88852),f326(f326(f3(f928(x88854,a916)),x88855),f326(f326(f308(x88854),x88853),f189(f928(x88854,a916)))))),f326(f326(f8(x88854,x88851),x88852),x88855))
% 163.42/163.17 [8886]~P77(x88861)+~P106(f326(f60(x88864),x88865))+~P106(f326(f326(f328(x88864),x88863),x88865))+E(f326(f326(f80(x88861),f326(x88862,x88863)),f326(f326(f11(x88864,x88861),x88862),f326(f326(f3(f928(x88864,a916)),x88865),f326(f326(f308(x88864),x88863),f189(f928(x88864,a916)))))),f326(f326(f11(x88864,x88861),x88862),x88865))
% 163.42/163.17 [8946]~P19(x89461,x89464,x89465)+~P106(f326(f60(x89461),x89462))+E(f326(f326(f3(f928(x89461,a916)),x89462),f326(f326(f308(x89461),x89463),f189(f928(x89461,a916)))),f189(f928(x89461,a916)))+E(f326(f326(x89464,x89463),f326(x89465,f326(f326(f3(f928(x89461,a916)),x89462),f326(f326(f308(x89461),x89463),f189(f928(x89461,a916)))))),f326(x89465,f326(f326(f308(x89461),x89463),x89462)))
% 163.42/163.17 [9321]~P77(x93211)+~P106(f326(f60(x93212),x93215))+~P106(f326(f60(x93212),x93214))+E(f326(f326(f80(x93211),f326(f326(f11(x93212,x93211),x93213),f326(f326(f110(f928(x93212,a916)),x93214),x93215))),f326(f326(f11(x93212,x93211),x93213),f326(f326(f101(f928(x93212,a916)),x93214),x93215))),f326(f326(f80(x93211),f326(f326(f11(x93212,x93211),x93213),x93214)),f326(f326(f11(x93212,x93211),x93213),x93215)))
% 163.42/163.17 [9322]~P72(x93221)+~P106(f326(f60(x93222),x93225))+~P106(f326(f60(x93222),x93224))+E(f326(f326(f79(x93221),f326(f326(f8(x93222,x93221),x93223),f326(f326(f110(f928(x93222,a916)),x93224),x93225))),f326(f326(f8(x93222,x93221),x93223),f326(f326(f101(f928(x93222,a916)),x93224),x93225))),f326(f326(f79(x93221),f326(f326(f8(x93222,x93221),x93223),x93224)),f326(f326(f8(x93222,x93221),x93223),x93225)))
% 163.42/163.17 [9461]~P69(x94611)+~P106(f326(f60(x94612),x94615))+~P106(f326(f60(x94612),x94614))+E(f326(f326(f3(x94611),f326(f326(f79(x94611),f326(f326(f8(x94612,x94611),x94613),x94614)),f326(f326(f8(x94612,x94611),x94613),x94615))),f326(f326(f8(x94612,x94611),x94613),f326(f326(f101(f928(x94612,a916)),x94614),x94615))),f326(f326(f8(x94612,x94611),x94613),f326(f326(f110(f928(x94612,a916)),x94614),x94615)))
% 163.42/163.17 [9678]~P26(x96781,x96782,x96783,x96785)+~P26(x96781,x96782,x96783,x96784)+P26(x96781,x96782,x96783,f326(f326(f110(f928(x96781,a916)),x96784),x96785))+~E(f326(f326(f101(f928(x96782,a916)),f326(f309(x96781,x96782,x96783),f326(f326(f3(f928(x96781,a916)),x96784),x96785))),f326(f309(x96781,x96782,x96783),f326(f326(f3(f928(x96781,a916)),x96785),x96784))),f189(f928(x96782,a916)))
% 163.42/163.17 [9796]E(x97961,f2(a1))+~P106(f326(f326(f235(a1),f2(a1)),x97963))+~P106(f326(f48(x97962,x97961),f326(f326(f251(a1,a1),x97964),x97965)))+P106(f326(f48(x97962,f326(f326(f80(a1),x97961),x97963)),f326(f326(f251(a1,a1),f326(f326(f35(a1),x97964),x97963)),f326(f326(f79(a1),f326(f326(f80(a1),x97961),f44(a1,x97964,x97963))),x97965))))
% 163.42/163.17 [9804]~P106(f326(f326(f235(a920),f2(a920)),x98043))+~P106(f326(f326(f235(a920),f2(a920)),x98042))+~P106(f326(f47(x98041,x98042),f326(f326(f251(a920,a920),x98044),x98045)))+P106(f326(f47(x98041,f326(f326(f80(a920),x98042),x98043)),f326(f326(f251(a920,a920),f326(f326(f35(a920),x98044),x98043)),f326(f326(f79(a920),f326(f326(f80(a920),x98042),f44(a920,x98044,x98043))),x98045))))
% 163.42/163.17 [9853]~P77(x98531)+~P106(f326(f60(x98532),x98535))+~P106(f326(f60(x98532),x98534))+E(f326(f326(f80(x98531),f326(f326(f326(f64(x98531,x98532,f80(x98531)),x98533),f77(x98531)),f326(f326(f110(f928(x98532,a916)),x98534),x98535))),f326(f326(f326(f64(x98531,x98532,f80(x98531)),x98533),f77(x98531)),f326(f326(f101(f928(x98532,a916)),x98534),x98535))),f326(f326(f80(x98531),f326(f326(f326(f64(x98531,x98532,f80(x98531)),x98533),f77(x98531)),x98534)),f326(f326(f326(f64(x98531,x98532,f80(x98531)),x98533),f77(x98531)),x98535)))
% 163.42/163.17 [9855]~E(f326(f326(f175(x98551),x98555),x98552),f326(f326(f175(x98551),x98555),x98553))+P106(f326(f326(f328(f927(f921(x98551),f921(x98551))),f326(f326(f251(f921(x98551),f921(x98551)),x98552),x98553)),f147(x98551,x98554)))+~P106(f326(f326(f235(a920),x98555),f326(f326(f188(a920),f326(f190(f921(x98551)),x98552)),f326(f190(f921(x98551)),x98553))))+~P106(f326(f326(f328(f927(x98551,x98551)),f326(f326(f251(x98551,x98551),f326(f326(f164(x98551),x98552),x98555)),f326(f326(f164(x98551),x98553),x98555))),x98554))
% 163.42/163.17 [9969]~P86(x99695)+~P146(x99695)+P106(f326(f326(f328(x99691),f354(x99692,x99693,x99694,x99691,x99695)),x99694))+P106(f326(f326(f234(x99695),f326(f326(f8(x99691,x99695),x99693),x99694)),f326(f326(f80(x99695),f326(f100(x99695),f326(f34(x99691),x99694))),x99692)))
% 163.42/163.17 [10148]~P86(x101481)+~P146(x101481)+~P106(f326(f326(f234(x101481),f326(x101483,f354(x101485,x101483,x101484,x101482,x101481))),x101485))+P106(f326(f326(f234(x101481),f326(f326(f8(x101482,x101481),x101483),x101484)),f326(f326(f80(x101481),f326(f100(x101481),f326(f34(x101482),x101484))),x101485)))
% 163.42/163.17 [8914]E(f326(f326(f134(x89141),x89142),x89143),f326(f326(f134(x89141),x89144),x89145))+~E(f326(f326(f175(x89141),f326(f190(f921(x89141)),x89142)),x89144),x89142)+~E(f326(f326(f134(x89141),f326(f326(f138(x89141),f326(f190(f921(x89141)),x89142)),x89144)),x89145),x89143)+P106(f326(f326(f234(a920),f326(f190(f921(x89141)),x89144)),f326(f190(f921(x89141)),x89142)))
% 163.42/163.17 [9044]E(f326(f326(f134(x90441),x90442),x90443),f326(f326(f134(x90441),x90444),x90445))+~E(f326(f326(f175(x90441),f326(f190(f921(x90441)),x90442)),x90444),x90442)+~E(x90443,f326(f326(f134(x90441),f326(f326(f138(x90441),f326(f190(f921(x90441)),x90442)),x90444)),x90445))+~P106(f326(f326(f234(a920),f326(f190(f921(x90441)),x90442)),f326(f190(f921(x90441)),x90444)))
% 163.42/163.17 [10295]~P106(f326(x102955,x102954))+~P106(f326(f60(x102952),f326(f261(x102952),x102955)))+P106(f326(f60(x102951),f326(f261(x102951),f326(f326(f9(x102951,x102952,a916),x102953),x102954))))+~P106(f326(f60(x102951),f326(f261(x102951),f326(f326(f10(f928(x102952,a916),a916,x102951),f86(x102952)),f326(f326(f10(f928(x102952,a916),f928(x102952,a916),x102951),f326(f20(x102952,a916,a916),f326(f326(f10(a916,f928(a916,a916),x102952),a324),x102955))),x102953)))))
% 163.42/163.17 [10368]~P106(f326(f60(x103682),x103685))+~P106(f326(f326(f328(x103682),x103684),x103685))+P106(f326(f60(x103681),f326(f261(x103681),f326(f326(f9(x103681,x103682,a916),x103683),x103684))))+~P106(f326(f60(x103681),f326(f261(x103681),f326(f326(f10(f928(x103682,a916),a916,x103681),f86(x103682)),f326(f326(f10(f928(x103682,a916),f928(x103682,a916),x103681),f326(f20(x103682,a916,a916),f326(f326(f10(a916,f928(a916,a916),x103682),a324),f326(f326(f9(x103682,f928(x103682,a916),a916),f328(x103682)),x103685)))),x103683)))))
% 163.42/163.17 [8697]~P20(x86975,x86971,x86976,x86972)+E(f326(f72(x86971,x86971,x86971,f326(x86972,x86973)),f326(x86972,x86974)),f326(f72(x86971,x86971,x86971,f326(x86972,x86974)),f326(x86972,x86973)))+~P106(f326(f60(x86975),x86974))+~P106(f326(f60(x86975),x86973))
% 163.42/163.17 [8093]~P26(x80931,x80932,x80934,x80933)+~E(f326(x80934,x80936),x80935)+E(f326(f76(x80931,x80932,x80933,x80934),x80935),x80936)+~P106(f326(f326(f328(x80931),x80936),x80933))
% 163.42/163.17 [8094]~P26(x80941,x80942,x80944,x80943)+~E(f326(x80944,x80946),x80945)+E(f326(f91(x80941,x80942,x80943,x80944),x80945),x80946)+~P106(f326(f326(f328(x80941),x80946),x80943))
% 163.42/163.17 [8288]~P21(x82886,x82881,x82884,x82882)+E(f326(f72(x82881,x82881,x82881,f326(x82882,x82883)),f326(x82884,x82885)),f326(x82882,x82883))+~P106(f326(f60(x82886),x82883))+~P106(f326(f326(f328(x82886),x82885),x82883))
% 163.42/163.17 [9413]E(x94131,x94132)+~E(f326(f91(x94133,x94134,x94135,x94136),x94131),f326(f91(x94133,x94134,x94135,x94136),x94132))+~P106(f326(f326(f328(x94134),x94132),f326(f309(x94133,x94134,x94136),x94135)))+~P106(f326(f326(f328(x94134),x94131),f326(f309(x94133,x94134,x94136),x94135)))
% 163.42/163.17 [9512]~P20(x95123,x95121,x95126,x95122)+E(f326(f72(x95121,x95121,x95121,f326(x95122,f326(f326(f3(f928(x95123,a916)),x95124),f326(f326(f308(x95123),x95125),f189(f928(x95123,a916)))))),f326(x95126,x95125)),f326(x95122,x95124))+~P106(f326(f60(x95123),x95124))+~P106(f326(f326(f328(x95123),x95125),x95124))
% 163.42/163.17 [7178]~P63(x71781)+~E(f44(x71781,x71783,x71784),f44(x71781,x71786,x71784))+~E(f44(x71781,x71782,x71784),f44(x71781,x71785,x71784))+E(f44(x71781,f326(f326(f3(x71781),x71782),x71783),x71784),f44(x71781,f326(f326(f3(x71781),x71785),x71786),x71784))
% 163.42/163.17 [7179]~P62(x71791)+~E(f44(x71791,x71793,x71794),f44(x71791,x71796,x71794))+~E(f44(x71791,x71792,x71794),f44(x71791,x71795,x71794))+E(f44(x71791,f326(f326(f80(x71791),x71792),x71793),x71794),f44(x71791,f326(f326(f80(x71791),x71795),x71796),x71794))
% 163.42/163.17 [7180]~P62(x71801)+~E(f44(x71801,x71803,x71804),f44(x71801,x71806,x71804))+~E(f44(x71801,x71802,x71804),f44(x71801,x71805,x71804))+E(f44(x71801,f326(f326(f79(x71801),x71802),x71803),x71804),f44(x71801,f326(f326(f79(x71801),x71805),x71806),x71804))
% 163.42/163.17 [7989]~P17(x79891,x79892,x79893)+~P106(f326(f60(x79891),x79896))+E(f326(f326(f63(x79891,x79892,x79893),x79894),f326(f326(f308(x79891),x79895),x79896)),f326(f326(f63(x79891,x79892,x79893),f326(f326(x79893,x79895),x79894)),x79896))+P106(f326(f326(f328(x79891),x79895),x79896))
% 163.42/163.17 [8052]~P6(x80521)+P106(f326(f326(f234(x80521),x80522),f326(x80523,x80524)))+~P106(f326(f326(f328(x80525),x80524),x80526))+~P106(f326(f326(f234(x80521),x80522),f326(f326(f38(x80525,x80521),x80526),x80523)))
% 163.42/163.17 [8210]~P17(x82101,x82102,x82103)+~P106(f326(f60(x82101),x82106))+E(f326(f326(f63(x82101,x82102,x82103),x82104),f326(f326(f308(x82101),x82105),x82106)),f326(f326(x82103,x82105),f326(f326(f63(x82101,x82102,x82103),x82104),x82106)))+P106(f326(f326(f328(x82101),x82105),x82106))
% 163.42/163.17 [8305]~P109(x83053)+~P106(f326(x83052,x83055))+~P14(x83053,f326(f326(f154(x83051,x83053),x83054),x83056))+E(f326(f136(x83051,x83052),f326(f326(f148(x83051,x83053,x83054),x83055),x83056)),f326(f326(f148(x83051,x83053,x83054),x83055),f326(f136(x83051,x83052),x83056)))
% 163.42/163.17 [8328]E(x83281,x83282)+E(x83283,f2(a1))+~P106(f326(f48(x83284,x83283),f326(f326(f251(a1,a1),x83285),x83282)))+~P106(f326(f48(x83284,x83283),f326(f326(f251(a1,a1),x83286),x83281)))
% 163.42/163.17 [8329]E(x83291,x83292)+E(x83293,f2(a1))+~P106(f326(f48(x83294,x83293),f326(f326(f251(a1,a1),x83292),x83295)))+~P106(f326(f48(x83294,x83293),f326(f326(f251(a1,a1),x83291),x83296)))
% 163.42/163.17 [8352]~P20(x83522,x83525,x83526,x83521)+~P106(f326(f60(x83522),x83524))+E(f326(x83521,f326(f326(f308(x83522),x83523),x83524)),f326(f72(x83525,x83525,x83525,f326(x83521,x83524)),f326(x83526,x83523)))+P106(f326(f326(f328(x83522),x83523),x83524))
% 163.42/163.17 [8572]~P21(x85725,x85721,x85726,x85722)+E(f326(f72(x85721,x85721,x85721,f326(x85722,x85723)),f326(x85722,x85724)),f326(x85722,x85723))+~P106(f326(f60(x85725),x85723))+~P106(f326(f326(f234(f928(x85725,a916)),x85724),x85723))
% 163.42/163.17 [9726]~P26(x97261,x97262,x97264,x97263)+~P106(f326(f326(f328(x97262),x97265),f326(f309(x97261,x97262,x97264),x97263)))+P106(f326(f326(f328(x97261),f326(f76(x97261,x97262,x97263,x97264),x97265)),x97266))+~P106(f326(f326(f234(f928(x97261,a916)),x97263),x97266))
% 163.42/163.17 [10100]~P72(x101002)+~E(f589(x101001,x101003,x101005,x101006,x101004,x101002),f590(x101001,x101003,x101005,x101006,x101004,x101002))+~P106(f326(f60(x101004),x101006))+E(f326(f326(f8(x101001,x101002),x101003),f326(f309(x101004,x101001,x101005),x101006)),f326(f326(f8(x101004,x101002),f326(f72(x101001,x101002,x101004,x101003),x101005)),x101006))
% 163.42/163.17 [10130]~P72(x101306)+E(f326(x101301,f589(x101302,x101303,x101301,x101304,x101305,x101306)),f326(x101301,f590(x101302,x101303,x101301,x101304,x101305,x101306)))+E(f326(f326(f8(x101302,x101306),x101303),f326(f309(x101305,x101302,x101301),x101304)),f326(f326(f8(x101305,x101306),f326(f72(x101302,x101306,x101305,x101303),x101301)),x101304))+~P106(f326(f60(x101305),x101304))
% 163.42/163.17 [10180]~P72(x101802)+~E(f326(x101803,f326(x101805,f590(x101801,x101803,x101805,x101806,x101804,x101802))),f2(x101802))+~P106(f326(f60(x101804),x101806))+E(f326(f326(f8(x101801,x101802),x101803),f326(f309(x101804,x101801,x101805),x101806)),f326(f326(f8(x101804,x101802),f326(f72(x101801,x101802,x101804,x101803),x101805)),x101806))
% 163.42/163.17 [10238]~P72(x102382)+~P106(f326(f60(x102384),x102386))+E(f326(f326(f8(x102381,x102382),x102383),f326(f309(x102384,x102381,x102385),x102386)),f326(f326(f8(x102384,x102382),f326(f72(x102381,x102382,x102384,x102383),x102385)),x102386))+P106(f326(f326(f328(x102384),f590(x102381,x102383,x102385,x102386,x102384,x102382)),x102386))
% 163.42/163.17 [10239]~P72(x102392)+~P106(f326(f60(x102394),x102396))+E(f326(f326(f8(x102391,x102392),x102393),f326(f309(x102394,x102391,x102395),x102396)),f326(f326(f8(x102394,x102392),f326(f72(x102391,x102392,x102394,x102393),x102395)),x102396))+P106(f326(f326(f328(x102394),f589(x102391,x102393,x102395,x102396,x102394,x102392)),x102396))
% 163.42/163.17 [10367]~P77(x103671)+~P106(f326(f60(x103672),x103676))+E(f326(f326(f326(f64(x103671,x103672,f80(x103671)),f326(f326(f20(x103672,f928(x103673,a916),x103671),f326(f326(f9(x103672,x103671,f928(f928(x103673,a916),x103671)),f326(f326(f10(f928(x103673,x103671),f928(x103671,f928(f928(x103673,a916),x103671)),x103672),f64(x103671,x103673,f80(x103671))),x103674)),f77(x103671))),x103675)),f77(x103671)),x103676),f326(f326(f326(f64(x103671,f927(x103672,x103673),f80(x103671)),f326(f256(x103672,x103673,x103671),x103674)),f77(x103671)),f326(f326(f253(x103672,x103673),x103676),x103675)))+P106(f326(f326(f328(x103672),f538(x103674,x103675,x103673,x103676,x103672,x103671)),x103676))
% 163.42/163.17 [10389]~P77(x103891)+~P106(f326(f60(x103892),x103896))+E(f326(f326(f326(f64(x103891,x103892,f80(x103891)),f326(f326(f20(x103892,f928(x103893,a916),x103891),f326(f326(f9(x103892,x103891,f928(f928(x103893,a916),x103891)),f326(f326(f10(f928(x103893,x103891),f928(x103891,f928(f928(x103893,a916),x103891)),x103892),f64(x103891,x103893,f80(x103891))),x103894)),f77(x103891))),x103895)),f77(x103891)),x103896),f326(f326(f326(f64(x103891,f927(x103892,x103893),f80(x103891)),f326(f256(x103892,x103893,x103891),x103894)),f77(x103891)),f326(f326(f253(x103892,x103893),x103896),x103895)))+~P106(f326(f60(x103893),f326(x103895,f538(x103894,x103895,x103893,x103896,x103892,x103891))))
% 163.42/163.17 [8483]~P21(x84832,x84835,x84836,x84831)+~P106(f326(f60(x84832),x84834))+~P106(f326(f60(x84832),x84833))+E(f326(x84831,f326(f326(f110(f928(x84832,a916)),x84833),x84834)),f326(f72(x84835,x84835,x84835,f326(x84831,x84833)),f326(x84831,x84834)))
% 163.42/163.17 [8698]~P6(x86981)+P106(f326(f326(f234(x86981),f326(x86982,x86983)),x86984))+~P106(f326(f326(f328(x86985),x86983),x86986))+~P106(f326(f326(f234(x86981),f326(f326(f39(x86985,x86981),x86986),x86982)),x86984))
% 163.42/163.17 [9130]~P26(x91302,x91301,x91303,x91306)+E(f326(f326(f3(f928(x91301,a916)),f326(f309(x91302,x91301,x91303),x91304)),f326(f309(x91302,x91301,x91303),x91305)),f326(f309(x91302,x91301,x91303),f326(f326(f3(f928(x91302,a916)),x91304),x91305)))+~P106(f326(f326(f234(f928(x91302,a916)),x91305),x91306))+~P106(f326(f326(f234(f928(x91302,a916)),x91304),x91306))
% 163.42/163.17 [9131]~P26(x91312,x91311,x91313,x91316)+E(f326(f326(f101(f928(x91311,a916)),f326(f309(x91312,x91311,x91313),x91314)),f326(f309(x91312,x91311,x91313),x91315)),f326(f309(x91312,x91311,x91313),f326(f326(f101(f928(x91312,a916)),x91314),x91315)))+~P106(f326(f326(f234(f928(x91312,a916)),x91315),x91316))+~P106(f326(f326(f234(f928(x91312,a916)),x91314),x91316))
% 163.42/163.17 [9387]E(x93871,x93872)+~P56(x93873,x93874,x93875)+~P106(f326(f326(f328(f927(x93873,x93874)),f326(f326(f251(x93873,x93874),x93876),x93872)),x93875))+~P106(f326(f326(f328(f927(x93873,x93874)),f326(f326(f251(x93873,x93874),x93876),x93871)),x93875))
% 163.42/163.17 [10176]~P70(x101761)+~E(f326(x101763,f343(x101764,x101766,x101763,x101765,x101762,x101761)),f326(x101766,f343(x101764,x101766,x101763,x101765,x101762,x101761)))+~P106(f326(f60(x101762),x101765))+E(f326(f326(f326(f64(x101761,x101762,f80(x101761)),x101763),x101764),x101765),f326(f326(f326(f64(x101761,x101762,f80(x101761)),x101766),x101764),x101765))
% 163.42/163.17 [10236]~P70(x102361)+~P106(f326(f60(x102362),x102365))+E(f326(f326(f326(f64(x102361,x102362,f80(x102361)),x102363),x102364),x102365),f326(f326(f326(f64(x102361,x102362,f80(x102361)),x102366),x102364),x102365))+P106(f326(f326(f328(x102362),f343(x102364,x102363,x102366,x102365,x102362,x102361)),x102365))
% 163.42/163.17 [8928]~P70(x89281)+~P106(f326(f60(x89282),x89286))+P106(f326(f326(f328(x89282),x89285),x89286))+E(f326(f326(f326(f64(x89281,x89282,f80(x89281)),x89283),x89284),f326(f326(f308(x89282),x89285),x89286)),f326(f326(f80(x89281),f326(x89283,x89285)),f326(f326(f326(f64(x89281,x89282,f80(x89281)),x89283),x89284),x89286)))
% 163.42/163.17 [8981]~P9(x89811,x89816,x89813)+~P12(x89811,f928(x89812,a916),x89813,x89815)+~P106(f326(f326(f328(x89811),x89814),x89816))+E(f326(f326(f39(x89811,f928(x89812,a916)),f326(f284(x89811,x89811,x89813),f326(f326(f308(x89811),x89814),f189(f928(x89811,a916))))),x89815),f326(x89815,x89814))
% 163.42/163.17 [9107]~P17(x91073,x91074,x91071)+~P106(f326(f60(x91073),x91076))+~P106(f326(f326(f328(x91073),x91072),x91076))+E(f326(f326(x91071,x91072),f326(f326(f63(x91073,x91074,x91071),x91075),f326(f326(f3(f928(x91073,a916)),x91076),f326(f326(f308(x91073),x91072),f189(f928(x91073,a916)))))),f326(f326(f63(x91073,x91074,x91071),x91075),x91076))
% 163.42/163.17 [9397]~P20(x93973,x93971,x93976,x93972)+~P106(f326(f60(x93973),x93975))+~P106(f326(f60(x93973),x93974))+E(f326(f72(x93971,x93971,x93971,f326(x93972,f326(f326(f110(f928(x93973,a916)),x93974),x93975))),f326(x93972,f326(f326(f101(f928(x93973,a916)),x93974),x93975))),f326(f72(x93971,x93971,x93971,f326(x93972,x93974)),f326(x93972,x93975)))
% 163.42/163.17 [9749]~E(x97493,f326(f326(f159(x97491,x97492),x97495),x97496))+P106(f326(f326(f328(f927(f921(x97491),f921(x97491))),f326(f326(f251(f921(x97491),f921(x97491)),x97492),x97493)),f157(x97491,x97494)))+~P106(f326(f326(f235(a920),x97495),f326(f190(f921(x97491)),x97492)))+~P106(f326(f326(f328(f927(x97491,x97491)),f326(f326(f251(x97491,x97491),f326(f326(f164(x97491),x97492),x97495)),x97496)),x97494))
% 163.42/163.17 [10252]~P72(x102522)+~P106(f326(f60(x102521),x102526))+P106(f326(f326(f328(x102521),f542(x102524,x102525,x102523,x102526,x102521,x102522)),x102526))+E(f326(f326(f8(x102521,x102522),f326(f326(f20(x102521,f928(x102523,a916),x102522),f326(f326(f10(f928(x102523,x102522),f928(f928(x102523,a916),x102522),x102521),f8(x102523,x102522)),x102524)),x102525)),x102526),f326(f326(f8(f927(x102521,x102523),x102522),f326(f256(x102521,x102523,x102522),x102524)),f326(f326(f253(x102521,x102523),x102526),x102525)))
% 163.42/163.17 [10253]~P77(x102532)+~P106(f326(f60(x102531),x102536))+P106(f326(f326(f328(x102531),f543(x102534,x102535,x102533,x102536,x102531,x102532)),x102536))+E(f326(f326(f11(x102531,x102532),f326(f326(f20(x102531,f928(x102533,a916),x102532),f326(f326(f10(f928(x102533,x102532),f928(f928(x102533,a916),x102532),x102531),f11(x102533,x102532)),x102534)),x102535)),x102536),f326(f326(f11(f927(x102531,x102533),x102532),f326(f256(x102531,x102533,x102532),x102534)),f326(f326(f253(x102531,x102533),x102536),x102535)))
% 163.42/163.17 [10293]~P72(x102932)+~P106(f326(f60(x102931),x102936))+~P106(f326(f60(x102933),f326(x102935,f542(x102934,x102935,x102933,x102936,x102931,x102932))))+E(f326(f326(f8(x102931,x102932),f326(f326(f20(x102931,f928(x102933,a916),x102932),f326(f326(f10(f928(x102933,x102932),f928(f928(x102933,a916),x102932),x102931),f8(x102933,x102932)),x102934)),x102935)),x102936),f326(f326(f8(f927(x102931,x102933),x102932),f326(f256(x102931,x102933,x102932),x102934)),f326(f326(f253(x102931,x102933),x102936),x102935)))
% 163.42/163.17 [10294]~P77(x102942)+~P106(f326(f60(x102941),x102946))+~P106(f326(f60(x102943),f326(x102945,f543(x102944,x102945,x102943,x102946,x102941,x102942))))+E(f326(f326(f11(x102941,x102942),f326(f326(f20(x102941,f928(x102943,a916),x102942),f326(f326(f10(f928(x102943,x102942),f928(f928(x102943,a916),x102942),x102941),f11(x102943,x102942)),x102944)),x102945)),x102946),f326(f326(f11(f927(x102941,x102943),x102942),f326(f256(x102941,x102943,x102942),x102944)),f326(f326(f253(x102941,x102943),x102946),x102945)))
% 163.42/163.17 [10274]~P77(x102742)+~P106(f326(f60(x102741),x102746))+P106(f326(f326(f328(x102741),x102743),x102746))+E(f326(f326(f11(x102741,x102742),f326(f326(f9(x102741,x102742,x102742),f326(f326(f20(x102741,x102742,f928(x102742,x102742)),f326(f326(f10(a916,f928(x102742,f928(x102742,x102742)),x102741),f96(x102742)),f326(f326(f9(x102741,x102741,a916),a323),x102743))),x102744)),x102745)),x102746),f326(f326(f243(x102742),x102745),f326(f34(x102741),x102746)))
% 163.42/163.17 [10279]~P77(x102792)+~P106(f326(f60(x102791),x102796))+~P106(f326(f326(f328(x102791),x102793),x102796))+E(f326(f326(f11(x102791,x102792),f326(f326(f9(x102791,x102792,x102792),f326(f326(f20(x102791,x102792,f928(x102792,x102792)),f326(f326(f10(a916,f928(x102792,f928(x102792,x102792)),x102791),f96(x102792)),f326(f326(f9(x102791,x102791,a916),a323),x102793))),x102794)),x102795)),x102796),f326(f326(f80(x102792),f326(x102794,x102793)),f326(f326(f243(x102792),x102795),f326(f326(f3(a920),f326(f34(x102791),x102796)),f77(a920)))))
% 163.42/163.17 [10358]~P106(f326(f60(x103581),x103585))+~P106(f326(f60(x103582),x103583))+P106(f326(f326(f328(x103582),f560(x103586,x103584,x103583,x103582,x103585,x103581)),x103583))+E(f326(f326(f8(x103581,a920),f326(f326(f10(f928(x103582,a916),a920,x103581),f34(x103582)),f326(f326(f10(f928(x103582,a916),f928(x103582,a916),x103581),f261(x103582)),f326(f326(f10(f928(x103582,a916),f928(x103582,a916),x103581),f326(f20(x103582,a916,a916),f326(f326(f10(a916,f928(a916,a916),x103582),a324),f326(f326(f9(x103582,f928(x103582,a916),a916),f328(x103582)),x103583)))),x103584)))),x103585),f326(f326(f80(a920),x103586),f326(f34(x103582),x103583)))
% 163.42/163.17 [10359]~P106(f326(f60(x103591),x103595))+~P106(f326(f60(x103592),x103593))+P106(f326(f326(f328(x103592),f561(x103596,x103594,x103593,x103592,x103595,x103591)),x103593))+E(f326(f326(f8(x103591,a920),f326(f326(f10(f928(x103592,a916),a920,x103591),f34(x103592)),f326(f326(f10(f928(x103592,a916),f928(x103592,a916),x103591),f261(x103592)),f326(f326(f10(f928(x103592,a916),f928(x103592,a916),x103591),f326(f20(x103592,a916,a916),f326(f326(f10(a916,f928(a916,a916),x103592),a324),f326(f326(f9(x103592,f928(x103592,a916),a916),f328(x103592)),x103593)))),x103594)))),x103595),f326(f326(f8(x103592,a920),x103596),x103593))
% 163.42/163.17 [10403]~P106(f326(f60(x104032),x104033))+~P106(f326(f60(x104031),x104035))+~E(f326(f34(x104031),f326(f261(x104031),f326(f326(f20(x104031,a916,a916),f326(f326(f10(a916,f928(a916,a916),x104031),a324),f326(f326(f9(x104031,f928(x104031,a916),a916),f328(x104031)),x104035))),f326(f326(f9(x104031,x104032,a916),x104034),f560(x104036,x104034,x104033,x104032,x104035,x104031))))),x104036)+E(f326(f326(f8(x104031,a920),f326(f326(f10(f928(x104032,a916),a920,x104031),f34(x104032)),f326(f326(f10(f928(x104032,a916),f928(x104032,a916),x104031),f261(x104032)),f326(f326(f10(f928(x104032,a916),f928(x104032,a916),x104031),f326(f20(x104032,a916,a916),f326(f326(f10(a916,f928(a916,a916),x104032),a324),f326(f326(f9(x104032,f928(x104032,a916),a916),f328(x104032)),x104033)))),x104034)))),x104035),f326(f326(f80(a920),x104036),f326(f34(x104032),x104033)))
% 163.42/163.17 [10405]~P106(f326(f60(x104052),x104053))+~P106(f326(f60(x104051),x104055))+~E(f326(f34(x104051),f326(f261(x104051),f326(f326(f20(x104051,a916,a916),f326(f326(f10(a916,f928(a916,a916),x104051),a324),f326(f326(f9(x104051,f928(x104051,a916),a916),f328(x104051)),x104055))),f326(f326(f9(x104051,x104052,a916),x104054),f561(x104056,x104054,x104053,x104052,x104055,x104051))))),f326(x104056,f561(x104056,x104054,x104053,x104052,x104055,x104051)))+E(f326(f326(f8(x104051,a920),f326(f326(f10(f928(x104052,a916),a920,x104051),f34(x104052)),f326(f326(f10(f928(x104052,a916),f928(x104052,a916),x104051),f261(x104052)),f326(f326(f10(f928(x104052,a916),f928(x104052,a916),x104051),f326(f20(x104052,a916,a916),f326(f326(f10(a916,f928(a916,a916),x104052),a324),f326(f326(f9(x104052,f928(x104052,a916),a916),f328(x104052)),x104053)))),x104054)))),x104055),f326(f326(f8(x104052,a920),x104056),x104053))
% 163.42/163.17 [10025]E(x100251,x100252)+~P17(x100253,x100254,x100255)+~P106(f326(f65(x100253,x100254,x100255,x100256,x100257),x100252))+~P106(f326(f65(x100253,x100254,x100255,x100256,x100257),x100251))
% 163.42/163.17 [9825]P106(f326(x98251,x98252))+~P106(f326(f326(f328(x98257),x98252),f326(x98256,x98254)))+~P106(f326(x98251,f451(x98251,x98256,x98255,x98253,x98257)))+~P106(f326(f326(f328(x98253),x98254),x98255))
% 163.42/163.17 [10266]~P17(x102667,x102666,x102661)+E(f326(f326(x102661,x102662),f808(x102662,x102663,x102664,x102665,x102661,x102666,x102667)),x102663)+~P106(f326(f65(x102667,x102666,x102661,x102665,x102664),x102663))+~P106(f326(f326(f328(x102667),x102662),x102664))
% 163.42/163.17 [10336]~P17(x103361,x103362,x103363)+~P106(f326(f65(x103361,x103362,x103363,x103364,x103365),x103367))+P106(f326(f65(x103361,x103362,x103363,x103364,f326(f326(f3(f928(x103361,a916)),x103365),f326(f326(f308(x103361),x103366),f189(f928(x103361,a916))))),f808(x103366,x103367,x103365,x103364,x103363,x103362,x103361)))+~P106(f326(f326(f328(x103361),x103366),x103365))
% 163.42/163.17 [9468]P27(x94681,x94682,x94683,x94684,x94685)+~P27(x94681,x94682,x94683,x94686,x94687)+~E(f326(f309(x94681,x94682,x94683),x94684),x94685)+~P106(f326(f326(f234(f928(x94681,a916)),x94684),x94686))
% 163.42/163.17 [9717]~P27(x97171,x97172,x97173,x97175,x97177)+~P27(x97171,x97172,x97173,x97174,x97176)+P27(x97171,x97172,x97173,f326(f326(f110(f928(x97171,a916)),x97174),x97175),f326(f326(f110(f928(x97172,a916)),x97176),x97177))+~E(f326(f326(f101(f928(x97172,a916)),x97176),x97177),f189(f928(x97172,a916)))
% 163.42/163.17 [9722]~P70(x97221)+~P26(x97225,x97222,x97226,x97227)+~P106(f326(f60(x97225),x97227))+E(f326(f326(f326(f64(x97221,x97222,f80(x97221)),x97223),x97224),f326(f309(x97225,x97222,x97226),x97227)),f326(f326(f326(f64(x97221,x97225,f80(x97221)),f326(f72(x97222,x97221,x97225,x97223),x97226)),x97224),x97227))
% 163.42/163.17 [9848]~E(f326(f326(f308(x98481),x98485),x98486),f326(f326(f308(x98481),x98482),x98483))+~P106(f326(f65(x98481,x98481,x98484,x98482,x98483),x98487))+P106(f326(f326(f328(x98481),x98482),x98483))+P106(f326(f61(x98481,x98484,f326(f326(f308(x98481),x98485),x98486)),x98487))
% 163.42/163.17 [9932]P106(f326(x99321,x99322))+~P106(f326(f326(f328(x99323),x99322),f326(x99324,x99327)))+~P106(f326(f326(f328(x99326),x99327),x99325))+P106(f326(f326(f328(x99323),f451(x99321,x99324,x99325,x99326,x99323)),f326(f326(f39(x99326,f928(x99323,a916)),x99325),x99324)))
% 163.42/163.17 [9949]~P26(x99492,x99491,x99495,x99494)+~P26(x99491,x99493,x99496,f326(f309(x99492,x99491,x99495),x99494))+E(f326(f326(f72(x99491,x99492,x99493,f76(x99492,x99491,x99494,x99495)),f76(x99491,x99493,f326(f309(x99492,x99491,x99495),x99494),x99496)),x99497),f326(f76(x99492,x99493,x99494,f326(f72(x99491,x99493,x99492,x99496),x99495)),x99497))+~P106(f326(f326(f328(x99493),x99497),f326(f309(x99491,x99493,x99496),f326(f309(x99492,x99491,x99495),x99494))))
% 163.42/163.17 [9950]~P26(x99502,x99501,x99505,x99504)+~P26(x99501,x99503,x99506,f326(f309(x99502,x99501,x99505),x99504))+E(f326(f326(f72(x99501,x99502,x99503,f91(x99502,x99501,x99504,x99505)),f91(x99501,x99503,f326(f309(x99502,x99501,x99505),x99504),x99506)),x99507),f326(f91(x99502,x99503,x99504,f326(f72(x99501,x99503,x99502,x99506),x99505)),x99507))+~P106(f326(f326(f328(x99503),x99507),f326(f309(x99501,x99503,x99506),f326(f309(x99502,x99501,x99505),x99504))))
% 163.42/163.17 [10267]~P17(x102677,x102676,x102671)+E(f326(f326(x102671,x102672),f879(x102673,x102674,x102672,x102675,x102671,x102676,x102677)),x102673)+P106(f326(f326(f328(x102677),x102672),x102674))+~P106(f326(f65(x102677,x102676,x102671,x102675,f326(f326(f308(x102677),x102672),x102674)),x102673))
% 163.42/163.17 [10335]~P17(x103351,x103354,x103355)+P106(f326(f65(x103351,x103354,x103355,x103356,x103353),f879(x103357,x103353,x103352,x103356,x103355,x103354,x103351)))+P106(f326(f326(f328(x103351),x103352),x103353))+~P106(f326(f65(x103351,x103354,x103355,x103356,f326(f326(f308(x103351),x103352),x103353)),x103357))
% 163.42/163.17 [10007]E(x100071,f2(a1))+~P106(f326(f48(x100073,x100071),f326(f326(f251(a1,a1),x100075),x100077)))+~P106(f326(f48(x100072,x100071),f326(f326(f251(a1,a1),x100074),x100076)))+P106(f326(f48(f326(f326(f79(a1),x100072),x100073),x100071),f326(f326(f251(a1,a1),f326(f326(f79(a1),f326(f326(f79(a1),x100074),x100075)),f326(f326(f35(a1),f326(f326(f79(a1),x100076),x100077)),x100071))),f44(a1,f326(f326(f79(a1),x100076),x100077),x100071))))
% 163.42/163.17 [10009]~P106(f326(f326(f235(a920),f2(a920)),x100093))+~P106(f326(f47(x100092,x100093),f326(f326(f251(a920,a920),x100095),x100097)))+~P106(f326(f47(x100091,x100093),f326(f326(f251(a920,a920),x100094),x100096)))+P106(f326(f47(f326(f326(f79(a920),x100091),x100092),x100093),f326(f326(f251(a920,a920),f326(f326(f79(a920),f326(f326(f79(a920),x100094),x100095)),f326(f326(f35(a920),f326(f326(f79(a920),x100096),x100097)),x100093))),f44(a920,f326(f326(f79(a920),x100096),x100097),x100093))))
% 163.42/163.17 [10402]~P72(x104022)+~P106(f326(f60(x104023),x104025))+~P106(f326(f60(x104021),x104027))+E(f326(f326(f8(x104021,x104022),f326(f326(f20(x104021,f928(x104023,a916),x104022),f326(f326(f10(f928(x104023,x104022),f928(f928(x104023,a916),x104022),x104021),f8(x104023,x104022)),x104024)),f326(f326(f10(f928(x104023,a916),f928(x104023,a916),x104021),f261(x104023)),f326(f326(f10(f928(x104023,a916),f928(x104023,a916),x104021),f326(f20(x104023,a916,a916),f326(f326(f10(a916,f928(a916,a916),x104023),a324),f326(f326(f9(x104023,f928(x104023,a916),a916),f328(x104023)),x104025)))),x104026)))),x104027),f326(f326(f8(x104023,x104022),f326(f326(f20(x104023,f928(x104021,a916),x104022),f326(f326(f10(f928(x104021,x104022),f928(f928(x104021,a916),x104022),x104023),f8(x104021,x104022)),f326(f9(x104021,x104023,x104022),x104024))),f326(f326(f10(f928(x104021,a916),f928(x104021,a916),x104023),f261(x104021)),f326(f326(f10(f928(x104021,a916),f928(x104021,a916),x104023),f326(f20(x104021,a916,a916),f326(f326(f10(a916,f928(a916,a916),x104021),a324),f326(f326(f9(x104021,f928(x104021,a916),a916),f328(x104021)),x104027)))),f326(f9(x104021,x104023,a916),x104026))))),x104025))
% 163.42/163.17 [10356]~P22(x103568,x103567,x103566,x103565,x103561)+~E(f326(x103562,f855(x103564,x103562,x103563,x103561,x103565,x103566,x103567)),f326(x103564,f855(x103564,x103562,x103563,x103561,x103565,x103566,x103567)))+E(f326(f326(x103561,x103562),x103563),f326(f326(x103561,x103564),x103563))+~P106(f326(f60(x103567),x103563))
% 163.42/163.17 [9884]~P23(x98847,x98846,x98841,x98848,x98842,x98844)+E(f326(f326(x98841,f326(x98842,x98843)),f326(x98844,x98845)),f326(x98844,x98845))+~P106(f326(f60(x98846),x98845))+~P106(f326(f326(f328(x98846),x98843),x98845))
% 163.42/163.17 [9888]~P13(x98886,x98881,x98882,x98888,x98883,x98884)+~P9(x98886,x98887,x98888)+P12(x98881,x98882,x98883,f326(x98884,x98885))+~P106(f326(f326(f328(x98886),x98885),x98887))
% 163.42/163.17 [10374]~P22(x103748,x103745,x103747,x103746,x103741)+E(f326(f326(x103741,x103742),x103743),f326(f326(x103741,x103744),x103743))+~P106(f326(f60(x103745),x103743))+P106(f326(f326(f328(x103745),f855(x103742,x103744,x103743,x103741,x103746,x103747,x103745)),x103743))
% 163.42/163.17 [10455]~P106(f326(f326(x104551,x104556),x104555))+P106(f326(f326(x104551,f846(x104551,x104554,x104555,x104556,x104553,x104552,x104557,x104558)),f851(x104551,x104554,x104555,x104556,x104553,x104552,x104557,x104558)))+P106(f326(f326(x104551,x104552),x104553))+~P106(f326(f326(f328(f927(f927(x104558,x104557),f927(x104558,x104557))),f326(f326(f251(f927(x104558,x104557),f927(x104558,x104557)),f326(f326(f251(x104558,x104557),x104552),x104553)),f326(f326(f251(x104558,x104557),x104556),x104555))),f306(f927(x104558,x104557),x104554)))
% 163.42/163.17 [10456]~P106(f326(f326(x104561,x104566),x104565))+P106(f326(f326(x104561,f839(x104561,x104564,x104563,x104562,x104565,x104566,x104567,x104568)),f840(x104561,x104564,x104563,x104562,x104565,x104566,x104567,x104568)))+P106(f326(f326(x104561,x104562),x104563))+~P106(f326(f326(f328(f927(f927(x104568,x104567),f927(x104568,x104567))),f326(f326(f251(f927(x104568,x104567),f927(x104568,x104567)),f326(f326(f251(x104568,x104567),x104566),x104565)),f326(f326(f251(x104568,x104567),x104562),x104563))),f306(f927(x104568,x104567),x104564)))
% 163.42/163.17 [10466]~P106(f326(f326(x104661,f847(x104661,x104666,x104665,x104664,x104663,x104662,x104667,x104668)),f850(x104661,x104666,x104665,x104664,x104663,x104662,x104667,x104668)))+P106(f326(f326(x104661,x104662),x104663))+~P106(f326(f326(x104661,x104664),x104665))+~P106(f326(f326(f328(f927(f927(x104668,x104667),f927(x104668,x104667))),f326(f326(f251(f927(x104668,x104667),f927(x104668,x104667)),f326(f326(f251(x104668,x104667),x104662),x104663)),f326(f326(f251(x104668,x104667),x104664),x104665))),f306(f927(x104668,x104667),x104666)))
% 163.42/163.17 [10467]~P106(f326(f326(x104671,f841(x104671,x104676,x104673,x104672,x104675,x104674,x104677,x104678)),f842(x104671,x104676,x104673,x104672,x104675,x104674,x104677,x104678)))+P106(f326(f326(x104671,x104672),x104673))+~P106(f326(f326(x104671,x104674),x104675))+~P106(f326(f326(f328(f927(f927(x104678,x104677),f927(x104678,x104677))),f326(f326(f251(f927(x104678,x104677),f927(x104678,x104677)),f326(f326(f251(x104678,x104677),x104674),x104675)),f326(f326(f251(x104678,x104677),x104672),x104673))),f306(f927(x104678,x104677),x104676)))
% 163.42/163.17 [10480]~P106(f326(f326(x104801,x104806),x104807))+P106(f326(f326(x104801,x104802),x104803))+P106(f326(f326(f328(f927(f927(x104804,x104805),f927(x104804,x104805))),f326(f326(f251(f927(x104804,x104805),f927(x104804,x104805)),f326(f326(f251(x104804,x104805),x104806),x104807)),f326(f326(f251(x104804,x104805),f839(x104801,x104808,x104803,x104802,x104807,x104806,x104805,x104804)),f840(x104801,x104808,x104803,x104802,x104807,x104806,x104805,x104804)))),f306(f927(x104804,x104805),x104808)))+~P106(f326(f326(f328(f927(f927(x104804,x104805),f927(x104804,x104805))),f326(f326(f251(f927(x104804,x104805),f927(x104804,x104805)),f326(f326(f251(x104804,x104805),x104806),x104807)),f326(f326(f251(x104804,x104805),x104802),x104803))),f306(f927(x104804,x104805),x104808)))
% 163.42/163.17 [10482]~P106(f326(f326(x104821,x104828),x104827))+P106(f326(f326(x104821,x104822),x104823))+P106(f326(f326(f328(f927(f927(x104824,x104825),f927(x104824,x104825))),f326(f326(f251(f927(x104824,x104825),f927(x104824,x104825)),f326(f326(f251(x104824,x104825),f846(x104821,x104826,x104827,x104828,x104823,x104822,x104825,x104824)),f851(x104821,x104826,x104827,x104828,x104823,x104822,x104825,x104824))),f326(f326(f251(x104824,x104825),x104828),x104827))),f306(f927(x104824,x104825),x104826)))+~P106(f326(f326(f328(f927(f927(x104824,x104825),f927(x104824,x104825))),f326(f326(f251(f927(x104824,x104825),f927(x104824,x104825)),f326(f326(f251(x104824,x104825),x104822),x104823)),f326(f326(f251(x104824,x104825),x104828),x104827))),f306(f927(x104824,x104825),x104826)))
% 163.42/163.17 [9495]~P20(x94957,x94951,x94958,x94953)+~P106(f326(f60(x94957),x94955))+~P106(f326(f60(x94957),x94954))+E(f326(f72(x94951,x94951,x94952,f326(x94953,x94954)),f326(f72(x94951,x94951,x94952,f326(x94953,x94955)),x94956)),f326(f72(x94951,x94951,x94952,f326(x94953,x94955)),f326(f72(x94951,x94951,x94952,f326(x94953,x94954)),x94956)))
% 163.42/163.17 [9504]~P36(x95041,x95042,x95043,x95044,x95047)+P36(x95041,x95042,x95043,f326(f326(f159(x95041,x95044),x95045),x95046),f326(f326(f159(x95042,x95047),x95045),x95048))+~P106(f326(f326(x95043,x95046),x95048))+~P106(f326(f326(f235(a920),x95045),f326(f190(f921(x95041)),x95044)))
% 163.42/163.17 [9505]~P36(x95051,x95052,x95053,x95054,x95057)+P36(x95051,x95052,x95053,f326(f326(f159(x95051,x95054),x95055),x95056),f326(f326(f159(x95052,x95057),x95055),x95058))+~P106(f326(f326(x95053,x95056),x95058))+~P106(f326(f326(f235(a920),x95055),f326(f190(f921(x95052)),x95057)))
% 163.42/163.17 [9584]~P26(x95842,x95842,x95845,x95846)+~P22(x95843,x95842,x95847,x95848,x95841)+~P106(f326(f60(x95842),x95846))+E(f326(f326(x95841,f326(f72(x95842,x95843,x95842,x95844),x95845)),x95846),f326(f326(x95841,x95844),f326(f309(x95842,x95842,x95845),x95846)))
% 163.42/163.17 [9849]P27(x98491,x98492,x98493,x98494,x98495)+~P27(x98492,x98496,x98497,x98495,x98498)+~P27(x98491,x98496,f326(f72(x98492,x98496,x98491,x98497),x98493),x98494,x98498)+~P106(f326(f326(f234(f928(x98492,a916)),f326(f309(x98491,x98492,x98493),x98494)),x98495))
% 163.42/163.17 [9886]~P24(x98867,x98862,x98865,x98868,x98866,x98861)+~P106(f326(f60(x98862),x98864))+E(f326(x98861,f326(f326(f308(x98862),x98863),x98864)),f326(f326(x98865,f326(x98866,x98863)),f326(x98861,x98864)))+P106(f326(f326(f328(x98862),x98863),x98864))
% 163.42/163.17 [9897]~P23(x98976,x98975,x98971,x98977,x98978,x98972)+E(f326(f326(x98971,f326(x98972,x98973)),f326(x98972,x98974)),f326(x98972,x98974))+~P106(f326(f60(x98975),x98974))+~P106(f326(f326(f234(f928(x98975,a916)),x98973),x98974))
% 163.42/163.17 [10399]P25(x103998,x103997,f326(f326(f308(f919(x103998)),f326(f326(f326(f90(x103998),x103994),x103995),x103993)),f189(f928(f919(x103998),a916))))+~P25(x103998,x103997,f326(f326(f308(f919(x103998)),f326(f326(f326(f90(x103998),x103996),x103995),x103991)),f189(f928(f919(x103998),a916))))+~P106(f326(f326(x103996,x103992),f895(x103993,x103994,x103991,x103995,x103996,x103997,x103998)))+P106(f326(f326(x103991,x103992),f905(x103993,x103994,x103991,x103995,x103996,x103997,x103998)))
% 163.42/163.17 [9482]P106(f326(f326(f328(f927(f921(x94821),f921(x94821))),f326(f326(f251(f921(x94821),f921(x94821)),x94822),x94823)),f157(x94821,x94824)))+~E(x94823,f326(f326(f134(x94821),x94825),f326(f326(f151(x94821),x94826),x94827)))+~E(x94822,f326(f326(f134(x94821),x94825),f326(f326(f151(x94821),x94828),x94827)))+~P106(f326(f326(f328(f927(x94821,x94821)),f326(f326(f251(x94821,x94821),x94828),x94826)),x94824))
% 163.42/163.17 [9891]~P23(x98916,x98912,x98915,x98917,x98918,x98911)+~P106(f326(f60(x98912),x98914))+~P106(f326(f60(x98912),x98913))+E(f326(x98911,f326(f326(f110(f928(x98912,a916)),x98913),x98914)),f326(f326(x98915,f326(x98911,x98913)),f326(x98911,x98914)))
% 163.42/163.17 [10445]~P26(x104454,x104452,x104455,x104458)+E(f326(f326(f38(x104451,f928(x104452,a916)),x104453),f326(f326(f10(f928(x104454,a916),f928(x104452,a916),x104451),f309(x104454,x104452,x104455)),x104456)),f326(f309(x104454,x104452,x104455),f326(f326(f38(x104451,f928(x104454,a916)),x104453),x104456)))+~P106(f326(f326(f328(x104451),x104457),x104453))+P106(f326(f326(f328(x104451),f507(x104457,x104456,x104453,x104451,x104458,x104455,x104452,x104454)),x104453))
% 163.42/163.17 [10471]~P26(x104714,x104712,x104715,x104717)+E(f326(f326(f38(x104711,f928(x104712,a916)),x104713),f326(f326(f10(f928(x104714,a916),f928(x104712,a916),x104711),f309(x104714,x104712,x104715)),x104716)),f326(f309(x104714,x104712,x104715),f326(f326(f38(x104711,f928(x104714,a916)),x104713),x104716)))+~P106(f326(f326(f328(x104711),x104718),x104713))+~P106(f326(f326(f234(f928(x104714,a916)),f326(x104716,f507(x104718,x104716,x104713,x104711,x104717,x104715,x104712,x104714))),x104717))
% 163.42/163.17 [10483]~P106(f326(f326(x104831,x104838),x104837))+P106(f326(f326(x104831,x104832),x104833))+~P106(f326(f326(f328(f927(f927(x104834,x104835),f927(x104834,x104835))),f326(f326(f251(f927(x104834,x104835),f927(x104834,x104835)),f326(f326(f251(x104834,x104835),x104832),x104833)),f326(f326(f251(x104834,x104835),x104838),x104837))),f306(f927(x104834,x104835),x104836)))+P106(f326(f326(f328(f927(f927(x104834,x104835),f927(x104834,x104835))),f326(f326(f251(f927(x104834,x104835),f927(x104834,x104835)),f326(f326(f251(x104834,x104835),f847(x104831,x104836,x104837,x104838,x104833,x104832,x104835,x104834)),f850(x104831,x104836,x104837,x104838,x104833,x104832,x104835,x104834))),f326(f326(f251(x104834,x104835),f846(x104831,x104836,x104837,x104838,x104833,x104832,x104835,x104834)),f851(x104831,x104836,x104837,x104838,x104833,x104832,x104835,x104834)))),x104836))
% 163.42/163.17 [10484]~P106(f326(f326(x104841,x104848),x104847))+P106(f326(f326(x104841,x104842),x104843))+~P106(f326(f326(f328(f927(f927(x104844,x104845),f927(x104844,x104845))),f326(f326(f251(f927(x104844,x104845),f927(x104844,x104845)),f326(f326(f251(x104844,x104845),x104848),x104847)),f326(f326(f251(x104844,x104845),x104842),x104843))),f306(f927(x104844,x104845),x104846)))+P106(f326(f326(f328(f927(f927(x104844,x104845),f927(x104844,x104845))),f326(f326(f251(f927(x104844,x104845),f927(x104844,x104845)),f326(f326(f251(x104844,x104845),f839(x104841,x104846,x104843,x104842,x104847,x104848,x104845,x104844)),f840(x104841,x104846,x104843,x104842,x104847,x104848,x104845,x104844))),f326(f326(f251(x104844,x104845),f841(x104841,x104846,x104843,x104842,x104847,x104848,x104845,x104844)),f842(x104841,x104846,x104843,x104842,x104847,x104848,x104845,x104844)))),x104846))
% 163.42/163.17 [9959]~P24(x99597,x99595,x99591,x99598,x99592,x99594)+~P106(f326(f60(x99595),x99596))+~P106(f326(f326(f328(x99595),x99593),x99596))+E(f326(f326(x99591,f326(x99592,x99593)),f326(x99594,f326(f326(f3(f928(x99595,a916)),x99596),f326(f326(f308(x99595),x99593),f189(f928(x99595,a916)))))),f326(x99594,x99596))
% 163.42/163.17 [9967]~P24(x99676,x99673,x99671,x99677,x99678,x99672)+~P106(f326(f60(x99673),x99675))+~P106(f326(f60(x99673),x99674))+E(f326(f326(x99671,f326(x99672,f326(f326(f110(f928(x99673,a916)),x99674),x99675))),f326(x99672,f326(f326(f101(f928(x99673,a916)),x99674),x99675))),f326(f326(x99671,f326(x99672,x99674)),f326(x99672,x99675)))
% 163.42/163.17 [10050]P44(x100501,x100502,x100503,x100504,x100505,f326(f326(x100503,x100506),x100507))+~P44(x100501,x100502,x100503,x100504,f326(f326(f3(f928(x100501,a916)),x100505),f326(f326(f308(x100501),x100508),f189(f928(x100501,a916)))),x100509)+~E(f326(f326(x100503,x100506),x100507),f326(f326(x100503,x100508),x100509))+~P106(f326(f326(f328(x100501),x100508),x100505))
% 163.42/163.17 [10487]P25(x104871,x104872,f326(f326(f308(f919(x104871)),f326(f326(f326(f90(x104871),f326(x104873,f508(x104874,x104875,x104876,x104877,x104873,x104872,x104871,x104878,x104879))),f326(x104877,f508(x104874,x104875,x104876,x104877,x104873,x104872,x104871,x104878,x104879))),f326(x104876,f508(x104874,x104875,x104876,x104877,x104873,x104872,x104871,x104878,x104879)))),f189(f928(f919(x104871),a916))))+~P106(f326(f60(x104879),x104878))+~P25(x104871,x104872,f326(f309(x104879,f919(x104871),f326(f326(f20(x104879,f928(x104871,f928(a918,a916)),f919(x104871)),f326(f326(f20(x104879,a917,f928(f928(x104871,f928(a918,a916)),f919(x104871))),f326(f326(f10(f928(x104871,f928(a918,a916)),f928(a917,f928(f928(x104871,f928(a918,a916)),f919(x104871))),x104879),f90(x104871)),x104873)),x104877)),x104876)),x104878))+P25(x104871,x104872,f326(f309(x104879,f919(x104871),f326(f326(f20(x104879,f928(x104871,f928(a918,a916)),f919(x104871)),f326(f326(f20(x104879,a917,f928(f928(x104871,f928(a918,a916)),f919(x104871))),f326(f326(f10(f928(x104871,f928(a918,a916)),f928(a917,f928(f928(x104871,f928(a918,a916)),f919(x104871))),x104879),f90(x104871)),x104875)),x104877)),x104874)),x104878))
% 163.42/163.17 [10488]~P25(x104881,x104882,f326(f326(f308(f919(x104881)),f326(f326(f326(f90(x104881),f326(x104884,f508(x104886,x104884,x104888,x104885,x104889,x104882,x104881,x104887,x104883))),f326(x104885,f508(x104886,x104884,x104888,x104885,x104889,x104882,x104881,x104887,x104883))),f326(x104886,f508(x104886,x104884,x104888,x104885,x104889,x104882,x104881,x104887,x104883)))),f189(f928(f919(x104881),a916))))+~P106(f326(f60(x104883),x104887))+~P25(x104881,x104882,f326(f309(x104883,f919(x104881),f326(f326(f20(x104883,f928(x104881,f928(a918,a916)),f919(x104881)),f326(f326(f20(x104883,a917,f928(f928(x104881,f928(a918,a916)),f919(x104881))),f326(f326(f10(f928(x104881,f928(a918,a916)),f928(a917,f928(f928(x104881,f928(a918,a916)),f919(x104881))),x104883),f90(x104881)),x104889)),x104885)),x104888)),x104887))+P25(x104881,x104882,f326(f309(x104883,f919(x104881),f326(f326(f20(x104883,f928(x104881,f928(a918,a916)),f919(x104881)),f326(f326(f20(x104883,a917,f928(f928(x104881,f928(a918,a916)),f919(x104881))),f326(f326(f10(f928(x104881,f928(a918,a916)),f928(a917,f928(f928(x104881,f928(a918,a916)),f919(x104881))),x104883),f90(x104881)),x104884)),x104885)),x104886)),x104887))
% 163.42/163.17 [9991]~P13(x99916,x99917,x99918,x99919,x999110,x99911)+E(f326(f326(x99911,x99912),x99913),f326(f326(x99911,x99914),x99915))+~P106(f326(f326(f328(f927(x99917,x99917)),f326(f326(f251(x99917,x99917),x99913),x99915)),x999110))+~P106(f326(f326(f328(f927(x99916,x99916)),f326(f326(f251(x99916,x99916),x99912),x99914)),x99919))
% 163.42/163.17 [9586]~P2(x95862)+E(x95861,f189(f928(x95862,a916)))+~P106(f326(f60(x95862),x95861))+P106(f326(f326(f328(x95862),f12(x95862,x95861)),x95861))+~P106(f326(f326(f328(x95862),f326(f326(f110(x95862),f526(x95861,x95862)),f541(x95861,x95862))),f326(f326(f308(x95862),f526(x95861,x95862)),f326(f326(f308(x95862),f541(x95861,x95862)),f189(f928(x95862,a916))))))
% 163.42/163.17 [9587]~P2(x95872)+E(x95871,f189(f928(x95872,a916)))+~P106(f326(f60(x95872),x95871))+P106(f326(f326(f328(x95872),f13(x95872,x95871)),x95871))+~P106(f326(f326(f328(x95872),f326(f326(f101(x95872),f650(x95871,x95872)),f663(x95871,x95872))),f326(f326(f308(x95872),f650(x95871,x95872)),f326(f326(f308(x95872),f663(x95871,x95872)),f189(f928(x95872,a916))))))
% 163.42/163.17 [9620]~P70(x96202)+E(x96201,f189(f928(x96202,a916)))+~P106(f326(f60(x96202),x96201))+P106(f326(f326(f328(x96202),f326(f62(x96202,f80(x96202)),x96201)),x96201))+~P106(f326(f326(f328(x96202),f326(f326(f80(x96202),f678(x96201,x96202)),f682(x96201,x96202))),f326(f326(f308(x96202),f678(x96201,x96202)),f326(f326(f308(x96202),f682(x96201,x96202)),f189(f928(x96202,a916))))))
% 163.42/163.17 [9625]~P109(x96252)+E(x96251,f189(f928(x96252,a916)))+~P106(f326(f60(x96252),x96251))+P106(f326(f326(f328(x96252),f14(x96252,f188(x96252),x96251)),x96251))+~P106(f326(f326(f328(x96252),f326(f326(f188(x96252),f818(x96251,x96252)),f832(x96251,x96252))),f326(f326(f308(x96252),f818(x96251,x96252)),f326(f326(f308(x96252),f832(x96251,x96252)),f189(f928(x96252,a916))))))
% 163.42/163.17 [9626]~P109(x96262)+E(x96261,f189(f928(x96262,a916)))+~P106(f326(f60(x96262),x96261))+P106(f326(f326(f328(x96262),f15(x96262,f233(x96262),x96261)),x96261))+~P106(f326(f326(f328(x96262),f326(f326(f233(x96262),f416(x96261,x96262)),f420(x96261,x96262))),f326(f326(f308(x96262),f416(x96261,x96262)),f326(f326(f308(x96262),f420(x96261,x96262)),f189(f928(x96262,a916))))))
% 163.42/163.17 [6744]~P89(x67442)+E(x67441,f2(x67442))+~E(f326(f326(f79(x67442),x67443),x67441),f2(x67442))+~P106(f326(f326(f234(x67442),f2(x67442)),x67443))+~P106(f326(f326(f234(x67442),f2(x67442)),x67441))
% 163.42/163.17 [6745]~P89(x67452)+E(x67451,f2(x67452))+~E(f326(f326(f79(x67452),x67451),x67453),f2(x67452))+~P106(f326(f326(f234(x67452),f2(x67452)),x67453))+~P106(f326(f326(f234(x67452),f2(x67452)),x67451))
% 163.42/163.17 [7279]~P109(x72792)+~P14(x72792,x72791)+E(x72791,f113(x72792))+~P106(f326(f326(f328(x72792),x72793),f326(f172(x72792),f708(x72791,x72792))))+P106(f326(f326(f234(x72792),f728(x72791,x72792)),x72793))
% 163.42/163.17 [7450]~P109(x74501)+E(f16(x74501,x74502),x74503)+~P106(f326(f60(x74501),x74502))+~P106(f326(f326(f234(x74501),x74503),f341(x74503,x74502,x74501)))+~P106(f326(f326(f328(x74501),x74503),x74502))
% 163.42/163.17 [7483]~P109(x74831)+~P14(x74831,x74832)+~P14(x74831,x74833)+P14(x74831,f326(f326(f134(x74831),x74832),x74833))+P106(f326(f326(f328(x74831),f715(x74833,x74832,x74831)),f326(f172(x74831),x74832)))
% 163.42/163.17 [7484]~P109(x74841)+~P14(x74841,x74842)+~P14(x74841,x74843)+P14(x74841,f326(f326(f134(x74841),x74842),x74843))+P106(f326(f326(f328(x74841),f716(x74843,x74842,x74841)),f326(f172(x74841),x74843)))
% 163.42/163.17 [7544]~P109(x75441)+E(f16(x75441,x75442),x75443)+~P106(f326(f60(x75441),x75442))+P106(f326(f326(f328(x75441),f341(x75443,x75442,x75441)),x75442))+~P106(f326(f326(f328(x75441),x75443),x75442))
% 163.42/163.17 [7545]~P109(x75451)+E(f17(x75451,x75452),x75453)+~P106(f326(f60(x75451),x75452))+P106(f326(f326(f328(x75451),f601(x75453,x75452,x75451)),x75452))+~P106(f326(f326(f328(x75451),x75453),x75452))
% 163.42/163.17 [8113]~P109(x81131)+E(f17(x81131,x81132),x81133)+~P106(f326(f60(x81131),x81132))+~P106(f326(f326(f328(x81131),x81133),x81132))+~P106(f326(f326(f234(x81131),f601(x81133,x81132,x81131)),x81133))
% 163.42/163.17 [8431]~P109(x84311)+~P14(x84311,x84312)+~P14(x84311,x84313)+P14(x84311,f326(f326(f134(x84311),x84312),x84313))+~P106(f326(f326(f234(x84311),f715(x84313,x84312,x84311)),f716(x84313,x84312,x84311)))
% 163.42/163.17 [9223]~P2(x92232)+E(x92231,f189(f928(x92232,a916)))+~E(f326(f326(f110(x92232),f326(x92233,f521(x92231,x92233,x92232))),f326(x92233,f523(x92231,x92233,x92232))),f326(x92233,f326(f326(f110(x92232),f521(x92231,x92233,x92232)),f523(x92231,x92233,x92232))))+E(f12(x92232,f326(f309(x92232,x92232,x92233),x92231)),f326(x92233,f12(x92232,x92231)))+~P106(f326(f60(x92232),x92231))
% 163.42/163.17 [9224]~P2(x92242)+E(x92241,f189(f928(x92242,a916)))+~E(f326(f326(f101(x92242),f326(x92243,f511(x92241,x92243,x92242))),f326(x92243,f522(x92241,x92243,x92242))),f326(x92243,f326(f326(f101(x92242),f511(x92241,x92243,x92242)),f522(x92241,x92243,x92242))))+E(f13(x92242,f326(f309(x92242,x92242,x92243),x92241)),f326(x92243,f13(x92242,x92241)))+~P106(f326(f60(x92242),x92241))
% 163.42/163.17 [9225]~P109(x92252)+E(x92251,f189(f928(x92252,a916)))+~E(f326(f326(f188(x92252),f326(x92253,f512(x92251,x92253,x92252))),f326(x92253,f519(x92251,x92253,x92252))),f326(x92253,f326(f326(f188(x92252),f512(x92251,x92253,x92252)),f519(x92251,x92253,x92252))))+E(f16(x92252,f326(f309(x92252,x92252,x92253),x92251)),f326(x92253,f16(x92252,x92251)))+~P106(f326(f60(x92252),x92251))
% 163.42/163.17 [9226]~P109(x92262)+E(x92261,f189(f928(x92262,a916)))+~E(f326(f326(f233(x92262),f326(x92263,f513(x92261,x92263,x92262))),f326(x92263,f518(x92261,x92263,x92262))),f326(x92263,f326(f326(f233(x92262),f513(x92261,x92263,x92262)),f518(x92261,x92263,x92262))))+E(f17(x92262,f326(f309(x92262,x92262,x92263),x92261)),f326(x92263,f17(x92262,x92261)))+~P106(f326(f60(x92262),x92261))
% 163.42/163.17 [9294]~P109(x92942)+E(x92941,f189(f928(x92942,a916)))+~E(f326(f326(f188(x92942),f326(x92943,f514(x92941,x92943,x92942))),f326(x92943,f517(x92941,x92943,x92942))),f326(x92943,f326(f326(f188(x92942),f514(x92941,x92943,x92942)),f517(x92941,x92943,x92942))))+E(f14(x92942,f188(x92942),f326(f309(x92942,x92942,x92943),x92941)),f326(x92943,f14(x92942,f188(x92942),x92941)))+~P106(f326(f60(x92942),x92941))
% 163.42/163.17 [9295]~P109(x92952)+E(x92951,f189(f928(x92952,a916)))+~E(f326(f326(f233(x92952),f326(x92953,f515(x92951,x92953,x92952))),f326(x92953,f516(x92951,x92953,x92952))),f326(x92953,f326(f326(f233(x92952),f515(x92951,x92953,x92952)),f516(x92951,x92953,x92952))))+E(f15(x92952,f233(x92952),f326(f309(x92952,x92952,x92953),x92951)),f326(x92953,f15(x92952,f233(x92952),x92951)))+~P106(f326(f60(x92952),x92951))
% 163.42/163.17 [6761]~P70(x67612)+E(x67611,f189(f928(x67612,a916)))+~P106(f326(f60(x67612),x67611))+E(f326(f62(x67612,f80(x67612)),f326(f326(f308(x67612),x67613),x67611)),f326(f326(f80(x67612),x67613),f326(f62(x67612,f80(x67612)),x67611)))+P106(f326(f326(f328(x67612),x67613),x67611))
% 163.42/163.17 [7285]~P2(x72852)+E(f326(f326(f110(x72852),f12(x72852,x72851)),f12(x72852,x72853)),f12(x72852,x72853))+E(x72851,f189(f928(x72852,a916)))+~P106(f326(f60(x72852),x72853))+~P106(f326(f326(f234(f928(x72852,a916)),x72851),x72853))
% 163.42/163.17 [7286]~P2(x72862)+E(f326(f326(f101(x72862),f13(x72862,x72861)),f13(x72862,x72863)),f13(x72862,x72863))+E(x72861,f189(f928(x72862,a916)))+~P106(f326(f60(x72862),x72863))+~P106(f326(f326(f234(f928(x72862,a916)),x72861),x72863))
% 163.42/163.17 [7287]~P109(x72872)+E(f326(f326(f188(x72872),f16(x72872,x72871)),f16(x72872,x72873)),f16(x72872,x72873))+E(x72871,f189(f928(x72872,a916)))+~P106(f326(f60(x72872),x72873))+~P106(f326(f326(f234(f928(x72872,a916)),x72871),x72873))
% 163.42/163.17 [7288]~P109(x72882)+E(f326(f326(f233(x72882),f17(x72882,x72881)),f17(x72882,x72883)),f17(x72882,x72883))+E(x72881,f189(f928(x72882,a916)))+~P106(f326(f60(x72882),x72883))+~P106(f326(f326(f234(f928(x72882,a916)),x72881),x72883))
% 163.42/163.17 [7592]~P109(x75922)+E(x75921,f189(f928(x75922,a916)))+~P106(f326(f60(x75922),x75923))+P106(f326(f326(f234(x75922),f16(x75922,x75923)),f16(x75922,x75921)))+~P106(f326(f326(f234(f928(x75922,a916)),x75921),x75923))
% 163.42/163.17 [7593]~P109(x75932)+E(x75931,f189(f928(x75932,a916)))+~P106(f326(f60(x75932),x75933))+P106(f326(f326(f234(x75932),f17(x75932,x75931)),f17(x75932,x75933)))+~P106(f326(f326(f234(f928(x75932,a916)),x75931),x75933))
% 163.42/163.17 [7647]~P2(x76471)+E(f12(x76471,x76472),x76473)+~P106(f326(f60(x76471),x76472))+~E(f326(f326(f3(f928(x76471,a916)),x76472),f326(f326(f308(x76471),x76473),f189(f928(x76471,a916)))),f189(f928(x76471,a916)))+~P106(f326(f326(f328(x76471),x76473),x76472))
% 163.42/163.17 [7648]~P2(x76481)+E(f13(x76481,x76482),x76483)+~P106(f326(f60(x76481),x76482))+~E(f326(f326(f3(f928(x76481,a916)),x76482),f326(f326(f308(x76481),x76483),f189(f928(x76481,a916)))),f189(f928(x76481,a916)))+~P106(f326(f326(f328(x76481),x76483),x76482))
% 163.42/163.17 [7649]~P109(x76491)+E(f16(x76491,x76492),x76493)+~P106(f326(f60(x76491),x76492))+~E(f326(f326(f3(f928(x76491,a916)),x76492),f326(f326(f308(x76491),x76493),f189(f928(x76491,a916)))),f189(f928(x76491,a916)))+~P106(f326(f326(f328(x76491),x76493),x76492))
% 163.42/163.17 [7650]~P109(x76501)+E(f17(x76501,x76502),x76503)+~P106(f326(f60(x76501),x76502))+~E(f326(f326(f3(f928(x76501,a916)),x76502),f326(f326(f308(x76501),x76503),f189(f928(x76501,a916)))),f189(f928(x76501,a916)))+~P106(f326(f326(f328(x76501),x76503),x76502))
% 163.42/163.17 [7744]~P109(x77441)+E(f14(x77441,f188(x77441),x77442),x77443)+~P106(f326(f60(x77441),x77442))+~E(f326(f326(f3(f928(x77441,a916)),x77442),f326(f326(f308(x77441),x77443),f189(f928(x77441,a916)))),f189(f928(x77441,a916)))+~P106(f326(f326(f328(x77441),x77443),x77442))
% 163.42/163.17 [7745]~P109(x77451)+E(f15(x77451,f233(x77451),x77452),x77453)+~P106(f326(f60(x77451),x77452))+~E(f326(f326(f3(f928(x77451,a916)),x77452),f326(f326(f308(x77451),x77453),f189(f928(x77451,a916)))),f189(f928(x77451,a916)))+~P106(f326(f326(f328(x77451),x77453),x77452))
% 163.42/163.17 [7780]~P102(x77802)+E(x77801,f189(f928(x77802,a916)))+~P106(f326(f60(x77802),x77801))+~P106(f326(f326(f234(x77802),x77803),f641(x77803,x77801,x77802)))+P106(f326(f326(f234(x77802),x77803),f326(f62(x77802,f101(x77802)),x77801)))
% 163.42/163.17 [7781]~P109(x77812)+E(x77811,f189(f928(x77812,a916)))+~P106(f326(f60(x77812),x77811))+~P106(f326(f326(f234(x77812),x77813),f741(x77813,x77811,x77812)))+P106(f326(f326(f234(x77812),x77813),f326(f62(x77812,f188(x77812)),x77811)))
% 163.42/163.17 [7782]~P109(x77822)+E(x77821,f189(f928(x77822,a916)))+~P106(f326(f60(x77822),x77821))+~P106(f326(f326(f235(x77822),x77823),f767(x77823,x77821,x77822)))+P106(f326(f326(f235(x77822),x77823),f326(f62(x77822,f188(x77822)),x77821)))
% 163.42/163.17 [7869]~P102(x78692)+E(x78691,f189(f928(x78692,a916)))+~P106(f326(f60(x78692),x78691))+P106(f326(f326(f328(x78692),f641(x78693,x78691,x78692)),x78691))+P106(f326(f326(f234(x78692),x78693),f326(f62(x78692,f101(x78692)),x78691)))
% 163.42/163.17 [7870]~P109(x78702)+E(x78701,f189(f928(x78702,a916)))+~P106(f326(f60(x78702),x78701))+P106(f326(f326(f328(x78702),f741(x78703,x78701,x78702)),x78701))+P106(f326(f326(f234(x78702),x78703),f326(f62(x78702,f188(x78702)),x78701)))
% 163.42/163.17 [7871]~P109(x78712)+E(x78711,f189(f928(x78712,a916)))+~P106(f326(f60(x78712),x78711))+P106(f326(f326(f328(x78712),f767(x78713,x78711,x78712)),x78711))+P106(f326(f326(f235(x78712),x78713),f326(f62(x78712,f188(x78712)),x78711)))
% 163.42/163.17 [7991]~P109(x79912)+E(x79911,f189(f928(x79912,a916)))+E(f326(f326(f188(x79912),f14(x79912,f188(x79912),x79911)),f14(x79912,f188(x79912),x79913)),f14(x79912,f188(x79912),x79913))+~P106(f326(f60(x79912),x79913))+~P106(f326(f326(f234(f928(x79912,a916)),x79911),x79913))
% 163.42/163.17 [7992]~P109(x79922)+E(x79921,f189(f928(x79922,a916)))+E(f326(f326(f233(x79922),f15(x79922,f233(x79922),x79921)),f15(x79922,f233(x79922),x79923)),f15(x79922,f233(x79922),x79923))+~P106(f326(f60(x79922),x79923))+~P106(f326(f326(f234(f928(x79922,a916)),x79921),x79923))
% 163.42/163.17 [8191]~E(f885(x81911,x81913,x81912),f886(x81911,x81913,x81912))+~E(f326(f34(x81912),f887(x81911,x81913,x81912)),x81911)+E(f326(f326(f80(a920),x81911),f326(f34(f928(x81912,a916)),x81913)),f326(f34(x81912),f36(f928(x81912,a916),x81913)))+~P106(f326(f60(x81912),f36(f928(x81912,a916),x81913)))+~P106(f326(f60(f928(x81912,a916)),x81913))
% 163.42/163.17 [8371]~P109(x83712)+E(x83711,f189(f928(x83712,a916)))+~P106(f326(f60(x83712),x83713))+P106(f326(f326(f234(x83712),f326(f62(x83712,f188(x83712)),x83713)),f326(f62(x83712,f188(x83712)),x83711)))+~P106(f326(f326(f234(f928(x83712,a916)),x83711),x83713))
% 163.42/163.17 [8668]~E(f885(x86681,x86683,x86682),f886(x86681,x86683,x86682))+E(f326(f326(f80(a920),x86681),f326(f34(f928(x86682,a916)),x86683)),f326(f34(x86682),f36(f928(x86682,a916),x86683)))+P106(f326(f326(f328(f928(x86682,a916)),f887(x86681,x86683,x86682)),x86683))+~P106(f326(f60(x86682),f36(f928(x86682,a916),x86683)))+~P106(f326(f60(f928(x86682,a916)),x86683))
% 163.42/163.17 [8694]~E(f326(f34(x86942),f887(x86941,x86943,x86942)),x86941)+E(f326(f326(f80(a920),x86941),f326(f34(f928(x86942,a916)),x86943)),f326(f34(x86942),f36(f928(x86942,a916),x86943)))+P106(f326(f326(f328(f928(x86942,a916)),f886(x86941,x86943,x86942)),x86943))+~P106(f326(f60(x86942),f36(f928(x86942,a916),x86943)))+~P106(f326(f60(f928(x86942,a916)),x86943))
% 163.42/163.17 [8695]~E(f326(f34(x86952),f887(x86951,x86953,x86952)),x86951)+E(f326(f326(f80(a920),x86951),f326(f34(f928(x86952,a916)),x86953)),f326(f34(x86952),f36(f928(x86952,a916),x86953)))+P106(f326(f326(f328(f928(x86952,a916)),f885(x86951,x86953,x86952)),x86953))+~P106(f326(f60(x86952),f36(f928(x86952,a916),x86953)))+~P106(f326(f60(f928(x86952,a916)),x86953))
% 163.42/163.17 [8720]~E(f326(f34(x87202),f887(x87201,x87203,x87202)),x87201)+~E(f326(f326(f101(f928(x87202,a916)),f886(x87201,x87203,x87202)),f885(x87201,x87203,x87202)),f189(f928(x87202,a916)))+E(f326(f326(f80(a920),x87201),f326(f34(f928(x87202,a916)),x87203)),f326(f34(x87202),f36(f928(x87202,a916),x87203)))+~P106(f326(f60(f928(x87202,a916)),x87203))+~P106(f326(f60(x87202),f36(f928(x87202,a916),x87203)))
% 163.42/163.17 [8987]E(f326(f326(f80(a920),x89871),f326(f34(f928(x89872,a916)),x89873)),f326(f34(x89872),f36(f928(x89872,a916),x89873)))+P106(f326(f326(f328(f928(x89872,a916)),f887(x89871,x89873,x89872)),x89873))+P106(f326(f326(f328(f928(x89872,a916)),f886(x89871,x89873,x89872)),x89873))+~P106(f326(f60(f928(x89872,a916)),x89873))+~P106(f326(f60(x89872),f36(f928(x89872,a916),x89873)))
% 163.42/163.17 [8988]E(f326(f326(f80(a920),x89881),f326(f34(f928(x89882,a916)),x89883)),f326(f34(x89882),f36(f928(x89882,a916),x89883)))+P106(f326(f326(f328(f928(x89882,a916)),f887(x89881,x89883,x89882)),x89883))+P106(f326(f326(f328(f928(x89882,a916)),f885(x89881,x89883,x89882)),x89883))+~P106(f326(f60(f928(x89882,a916)),x89883))+~P106(f326(f60(x89882),f36(f928(x89882,a916),x89883)))
% 163.42/163.17 [9014]~E(f326(f326(f101(f928(x90142,a916)),f886(x90141,x90143,x90142)),f885(x90141,x90143,x90142)),f189(f928(x90142,a916)))+E(f326(f326(f80(a920),x90141),f326(f34(f928(x90142,a916)),x90143)),f326(f34(x90142),f36(f928(x90142,a916),x90143)))+~P106(f326(f60(f928(x90142,a916)),x90143))+P106(f326(f326(f328(f928(x90142,a916)),f887(x90141,x90143,x90142)),x90143))+~P106(f326(f60(x90142),f36(f928(x90142,a916),x90143)))
% 163.42/163.17 [9269]~P97(x92692)+E(x92691,f189(f928(x92692,a916)))+~E(f326(f326(f80(x92692),f326(x92693,f524(x92691,x92693,x92692))),f326(x92693,f525(x92691,x92693,x92692))),f326(x92693,f326(f326(f80(x92692),f524(x92691,x92693,x92692)),f525(x92691,x92693,x92692))))+~P106(f326(f60(x92692),x92691))+E(f326(f62(x92692,f80(x92692)),f326(f309(x92692,x92692,x92693),x92691)),f326(x92693,f326(f62(x92692,f80(x92692)),x92691)))
% 163.42/163.17 [10210]P106(f326(f326(x102101,x102102),x102103))+P106(f326(f326(f235(a1),f389(x102101,x102103,x102102)),f390(x102101,x102103,x102102)))+P106(f326(f326(f234(a1),f390(x102101,x102103,x102102)),f2(a1)))+P106(f326(f326(x102101,f389(x102101,x102103,x102102)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f390(x102101,x102103,x102102))))+~P106(f326(f314(f927(a1,a1),a57),f326(f326(f251(a1,a1),x102102),x102103)))
% 163.42/163.17 [10216]P106(f326(f326(x102161,x102162),x102163))+P106(f326(f326(f234(a1),f387(x102161,x102163,x102162)),f2(a1)))+P106(f326(f326(x102161,f385(x102161,x102163,x102162)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f387(x102161,x102163,x102162))))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f385(x102161,x102163,x102162)),f387(x102161,x102163,x102162))))+~P106(f326(f314(f927(a1,a1),a51),f326(f326(f251(a1,a1),x102162),x102163)))
% 163.42/163.17 [8162]~P120(x81621)+~P106(f326(f326(f234(x81621),x81622),f77(x81621)))+~P106(f326(f326(f234(x81621),f2(x81621)),x81622))+~P106(f326(f326(f234(x81621),f2(x81621)),x81623))+P106(f326(f326(f234(x81621),f326(f326(f80(x81621),x81622),x81623)),x81623))
% 163.42/163.17 [8163]~P120(x81631)+~P106(f326(f326(f234(x81631),x81633),f77(x81631)))+~P106(f326(f326(f234(x81631),f2(x81631)),x81633))+~P106(f326(f326(f234(x81631),f2(x81631)),x81632))+P106(f326(f326(f234(x81631),f326(f326(f80(x81631),x81632),x81633)),x81632))
% 163.42/163.17 [8516]~P109(x85162)+E(x85161,f189(f928(x85162,a916)))+~P106(f326(f60(x85162),x85161))+P106(f326(f326(f234(x85162),f729(x85163,x85161,x85162)),x85163))+~P106(f326(f326(f234(x85162),f326(f62(x85162,f188(x85162)),x85161)),x85163))
% 163.42/163.17 [8517]~P109(x85172)+E(x85171,f189(f928(x85172,a916)))+~P106(f326(f60(x85172),x85171))+P106(f326(f326(f328(x85172),f729(x85173,x85171,x85172)),x85171))+~P106(f326(f326(f234(x85172),f326(f62(x85172,f188(x85172)),x85171)),x85173))
% 163.42/163.17 [8518]~P109(x85182)+E(x85181,f189(f928(x85182,a916)))+~P106(f326(f60(x85182),x85181))+P106(f326(f326(f328(x85182),f756(x85183,x85181,x85182)),x85181))+~P106(f326(f326(f235(x85182),f326(f62(x85182,f188(x85182)),x85181)),x85183))
% 163.42/163.17 [8519]~P109(x85192)+E(x85191,f189(f928(x85192,a916)))+~P106(f326(f60(x85192),x85191))+P106(f326(f326(f235(x85192),f756(x85193,x85191,x85192)),x85193))+~P106(f326(f326(f235(x85192),f326(f62(x85192,f188(x85192)),x85191)),x85193))
% 163.42/163.17 [8604]~P106(f326(x86041,x86043))+P106(f326(x86041,f472(x86041,x86042)))+P106(f326(x86041,f466(x86041,x86042)))+~P106(f326(f326(f235(a1),f2(a1)),x86042))+P106(f326(x86041,f326(f326(f3(a1),f466(x86041,x86042)),f326(f326(f80(a1),f473(x86041,x86042)),x86042))))
% 163.42/163.17 [8821]~P106(f326(x88211,x88213))+P106(f326(x88211,f466(x88211,x88212)))+~P106(f326(f326(f235(a1),f2(a1)),x88212))+P106(f326(f326(f328(a1),f472(x88211,x88212)),f302(a1,f77(a1),x88212)))+P106(f326(x88211,f326(f326(f3(a1),f466(x88211,x88212)),f326(f326(f80(a1),f473(x88211,x88212)),x88212))))
% 163.42/163.17 [9036]~P106(f326(x90361,x90363))+~P106(f326(x90361,f466(x90361,x90362)))+P106(f326(x90361,f472(x90361,x90362)))+~P106(f326(f326(f235(a1),f2(a1)),x90362))+~P106(f326(x90361,f326(f326(f3(a1),f466(x90361,x90362)),f326(f326(f80(a1),f473(x90361,x90362)),x90362))))
% 163.42/163.17 [9160]~P106(f326(x91601,x91603))+~P106(f326(x91601,f466(x91601,x91602)))+~P106(f326(f326(f235(a1),f2(a1)),x91602))+P106(f326(f326(f328(a1),f472(x91601,x91602)),f302(a1,f77(a1),x91602)))+~P106(f326(x91601,f326(f326(f3(a1),f466(x91601,x91602)),f326(f326(f80(a1),f473(x91601,x91602)),x91602))))
% 163.42/163.17 [8942]~P2(x89421)+~P106(f326(f60(x89421),x89422))+E(f326(f326(f3(f928(x89421,a916)),x89422),f326(f326(f308(x89421),x89423),f189(f928(x89421,a916)))),f189(f928(x89421,a916)))+~P106(f326(f326(f328(x89421),x89423),x89422))+E(f326(f326(f110(x89421),x89423),f12(x89421,f326(f326(f3(f928(x89421,a916)),x89422),f326(f326(f308(x89421),x89423),f189(f928(x89421,a916)))))),f12(x89421,x89422))
% 163.42/163.17 [8943]~P2(x89431)+~P106(f326(f60(x89431),x89432))+E(f326(f326(f3(f928(x89431,a916)),x89432),f326(f326(f308(x89431),x89433),f189(f928(x89431,a916)))),f189(f928(x89431,a916)))+~P106(f326(f326(f328(x89431),x89433),x89432))+E(f326(f326(f101(x89431),x89433),f13(x89431,f326(f326(f3(f928(x89431,a916)),x89432),f326(f326(f308(x89431),x89433),f189(f928(x89431,a916)))))),f13(x89431,x89432))
% 163.42/163.17 [8944]~P109(x89441)+~P106(f326(f60(x89441),x89442))+E(f326(f326(f3(f928(x89441,a916)),x89442),f326(f326(f308(x89441),x89443),f189(f928(x89441,a916)))),f189(f928(x89441,a916)))+~P106(f326(f326(f328(x89441),x89443),x89442))+E(f326(f326(f188(x89441),x89443),f16(x89441,f326(f326(f3(f928(x89441,a916)),x89442),f326(f326(f308(x89441),x89443),f189(f928(x89441,a916)))))),f16(x89441,x89442))
% 163.42/163.17 [8945]~P109(x89451)+~P106(f326(f60(x89451),x89452))+E(f326(f326(f3(f928(x89451,a916)),x89452),f326(f326(f308(x89451),x89453),f189(f928(x89451,a916)))),f189(f928(x89451,a916)))+~P106(f326(f326(f328(x89451),x89453),x89452))+E(f326(f326(f233(x89451),x89453),f17(x89451,f326(f326(f3(f928(x89451,a916)),x89452),f326(f326(f308(x89451),x89453),f189(f928(x89451,a916)))))),f17(x89451,x89452))
% 163.42/163.17 [9007]~P109(x90071)+~P106(f326(f60(x90071),x90072))+E(f326(f326(f3(f928(x90071,a916)),x90072),f326(f326(f308(x90071),x90073),f189(f928(x90071,a916)))),f189(f928(x90071,a916)))+~P106(f326(f326(f328(x90071),x90073),x90072))+E(f326(f326(f188(x90071),x90073),f14(x90071,f188(x90071),f326(f326(f3(f928(x90071,a916)),x90072),f326(f326(f308(x90071),x90073),f189(f928(x90071,a916)))))),f14(x90071,f188(x90071),x90072))
% 163.42/163.17 [9008]~P109(x90081)+~P106(f326(f60(x90081),x90082))+E(f326(f326(f3(f928(x90081,a916)),x90082),f326(f326(f308(x90081),x90083),f189(f928(x90081,a916)))),f189(f928(x90081,a916)))+~P106(f326(f326(f328(x90081),x90083),x90082))+E(f326(f326(f233(x90081),x90083),f15(x90081,f233(x90081),f326(f326(f3(f928(x90081,a916)),x90082),f326(f326(f308(x90081),x90083),f189(f928(x90081,a916)))))),f15(x90081,f233(x90081),x90082))
% 163.42/163.17 [9023]~P2(x90231)+~P106(f326(f60(x90231),x90233))+~P106(f326(f60(x90231),x90232))+E(f326(f326(f101(f928(x90231,a916)),x90232),x90233),f189(f928(x90231,a916)))+E(f326(f326(f110(x90231),f12(x90231,f326(f326(f110(f928(x90231,a916)),x90232),x90233))),f12(x90231,f326(f326(f101(f928(x90231,a916)),x90232),x90233))),f326(f326(f110(x90231),f12(x90231,x90232)),f12(x90231,x90233)))
% 163.42/163.17 [9024]~P2(x90241)+~P106(f326(f60(x90241),x90243))+~P106(f326(f60(x90241),x90242))+E(f326(f326(f101(f928(x90241,a916)),x90242),x90243),f189(f928(x90241,a916)))+E(f326(f326(f101(x90241),f13(x90241,f326(f326(f110(f928(x90241,a916)),x90242),x90243))),f13(x90241,f326(f326(f101(f928(x90241,a916)),x90242),x90243))),f326(f326(f101(x90241),f13(x90241,x90242)),f13(x90241,x90243)))
% 163.42/163.17 [9025]~P109(x90251)+~P106(f326(f60(x90251),x90253))+~P106(f326(f60(x90251),x90252))+E(f326(f326(f101(f928(x90251,a916)),x90252),x90253),f189(f928(x90251,a916)))+E(f326(f326(f188(x90251),f16(x90251,f326(f326(f110(f928(x90251,a916)),x90252),x90253))),f16(x90251,f326(f326(f101(f928(x90251,a916)),x90252),x90253))),f326(f326(f188(x90251),f16(x90251,x90252)),f16(x90251,x90253)))
% 163.42/163.17 [9026]~P109(x90261)+~P106(f326(f60(x90261),x90263))+~P106(f326(f60(x90261),x90262))+E(f326(f326(f101(f928(x90261,a916)),x90262),x90263),f189(f928(x90261,a916)))+E(f326(f326(f233(x90261),f17(x90261,f326(f326(f110(f928(x90261,a916)),x90262),x90263))),f17(x90261,f326(f326(f101(f928(x90261,a916)),x90262),x90263))),f326(f326(f233(x90261),f17(x90261,x90262)),f17(x90261,x90263)))
% 163.42/163.17 [9241]~P109(x92411)+~P106(f326(f60(x92411),x92413))+~P106(f326(f60(x92411),x92412))+E(f326(f326(f101(f928(x92411,a916)),x92412),x92413),f189(f928(x92411,a916)))+E(f326(f326(f188(x92411),f14(x92411,f188(x92411),f326(f326(f110(f928(x92411,a916)),x92412),x92413))),f14(x92411,f188(x92411),f326(f326(f101(f928(x92411,a916)),x92412),x92413))),f326(f326(f188(x92411),f14(x92411,f188(x92411),x92412)),f14(x92411,f188(x92411),x92413)))
% 163.42/163.17 [9242]~P109(x92421)+~P106(f326(f60(x92421),x92423))+~P106(f326(f60(x92421),x92422))+E(f326(f326(f101(f928(x92421,a916)),x92422),x92423),f189(f928(x92421,a916)))+E(f326(f326(f233(x92421),f15(x92421,f233(x92421),f326(f326(f110(f928(x92421,a916)),x92422),x92423))),f15(x92421,f233(x92421),f326(f326(f101(f928(x92421,a916)),x92422),x92423))),f326(f326(f233(x92421),f15(x92421,f233(x92421),x92422)),f15(x92421,f233(x92421),x92423)))
% 163.42/163.17 [10047]~P127(x100473)+E(x100471,x100472)+~P106(f326(f326(f234(x100473),f2(x100473)),x100472))+~P106(f326(f326(f234(x100473),f2(x100473)),x100471))+~E(f326(f326(f243(x100473),x100471),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x100473),x100472),f326(f103(a920),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 163.42/163.17 [6084]~P62(x60842)+E(x60841,f2(x60842))+~E(f326(f326(f35(x60842),x60843),x60841),x60844)+E(x60843,f326(f326(f80(x60842),x60844),x60841))+~P106(f326(f326(f286(x60842),x60841),x60843))
% 163.42/163.17 [6085]~P62(x60852)+E(x60851,f2(x60852))+~E(x60853,f326(f326(f80(x60852),x60854),x60851))+E(f326(f326(f35(x60852),x60853),x60851),x60854)+~P106(f326(f326(f286(x60852),x60851),x60853))
% 163.42/163.17 [6559]E(f890(x65591,x65592,x65593),x65594)+E(f326(x65591,x65594),f2(a920))+~E(f326(f326(f8(x65593,a920),x65591),x65592),f77(a920))+~P106(f326(f60(x65593),x65592))+~P106(f326(f326(f328(x65593),x65594),x65592))
% 163.42/163.17 [6621]E(f892(x66211,x66212,x66213),x66214)+E(f326(x66211,x66214),f2(a920))+~E(f326(f326(f8(x66213,a920),x66211),x66212),f326(a112,f2(a920)))+~P106(f326(f60(x66213),x66212))+~P106(f326(f326(f328(x66213),x66214),x66212))
% 163.42/163.17 [6730]~P109(x67301)+~P6(x67301)+P106(f326(f326(f235(x67301),x67302),f36(x67301,x67303)))+~P106(f326(f326(f235(x67301),x67302),x67304))+~P106(f326(f326(f328(x67301),x67304),x67303))
% 163.42/163.17 [6904]~P109(x69041)+~P6(x69041)+~P106(f326(f326(f235(x69041),x69044),x69043))+P106(f326(f326(f235(x69041),f37(x69041,x69042)),x69043))+~P106(f326(f326(f328(x69041),x69044),x69042))
% 163.42/163.17 [7164]~P127(x71643)+E(x71641,x71642)+~E(f326(f326(f243(x71643),x71641),f326(a112,x71644)),f326(f326(f243(x71643),x71642),f326(a112,x71644)))+~P106(f326(f326(f234(x71643),f2(x71643)),x71642))+~P106(f326(f326(f234(x71643),f2(x71643)),x71641))
% 163.42/163.17 [7376]~E(f898(x73762,x73763,x73761,x73764),x73764)+~E(f326(x73762,x73764),f77(a920))+E(f326(f326(f8(x73761,a920),x73762),x73763),f77(a920))+~P106(f326(f60(x73761),x73763))+~P106(f326(f326(f328(x73761),x73764),x73763))
% 163.42/163.17 [7383]~P113(x73834)+~P133(x73834)+E(f326(x73831,f884(x73831,x73832,x73833,x73834)),f2(x73834))+~E(f326(f326(f11(x73833,x73834),x73831),x73832),f2(x73834))+~P106(f326(f60(x73833),x73832))
% 163.42/163.17 [7473]~E(f896(x74732,x74733,x74731,x74734),x74734)+~E(f326(x74732,x74734),f326(a112,f2(a920)))+E(f326(f326(f8(x74731,a920),x74732),x74733),f326(a112,f2(a920)))+~P106(f326(f60(x74731),x74733))+~P106(f326(f326(f328(x74731),x74734),x74733))
% 163.42/163.17 [8203]~E(f326(x82032,x82034),f77(a920))+~E(f326(x82032,f898(x82032,x82033,x82031,x82034)),f2(a920))+E(f326(f326(f8(x82031,a920),x82032),x82033),f77(a920))+~P106(f326(f60(x82031),x82033))+~P106(f326(f326(f328(x82031),x82034),x82033))
% 163.42/163.17 [8241]~E(f326(x82412,x82414),f326(a112,f2(a920)))+~E(f326(x82412,f896(x82412,x82413,x82411,x82414)),f2(a920))+E(f326(f326(f8(x82411,a920),x82412),x82413),f326(a112,f2(a920)))+~P106(f326(f60(x82411),x82413))+~P106(f326(f326(f328(x82411),x82414),x82413))
% 163.42/163.17 [8326]~P147(x83262)+~P123(x83262)+~P106(f326(x83261,x83264))+~P106(f326(f326(f286(x83262),x83263),f326(f326(f79(x83262),x83264),f2(x83262))))+P106(f326(x83261,f326(f326(f80(x83262),x83263),f856(x83263,x83261,x83262))))
% 163.42/163.17 [8788]~P109(x87881)+~P14(x87881,x87884)+P14(x87881,x87882)+~E(x87882,f326(f326(f151(x87881),x87883),x87884))+~P106(f326(f326(f234(x87881),x87883),f730(x87882,x87881,x87884,x87883)))
% 163.42/163.17 [8825]E(x88251,x88252)+E(f326(f326(f3(a1),f458(x88253,x88252,x88254,x88251)),f459(x88253,x88252,x88254,x88251)),x88251)+~E(f326(f326(f79(a1),x88251),x88254),x88252)+~P106(f326(f326(f235(a1),f2(a1)),x88254))+~P106(f326(f326(f328(a1),x88252),x88253))
% 163.42/163.17 [8826]E(x88261,x88262)+E(f326(f326(f79(a1),f460(x88263,x88262,x88264,x88261)),f461(x88263,x88262,x88264,x88261)),x88261)+~E(f326(f326(f3(a1),x88261),x88264),x88262)+~P106(f326(f326(f235(a1),f2(a1)),x88264))+~P106(f326(f326(f328(a1),x88262),x88263))
% 163.42/163.17 [9021]E(f326(x90211,f361(x90212,x90211,x90213,x90214)),x90212)+P106(f326(f326(f234(a920),x90214),f362(x90212,x90211,x90213,x90214)))+~P106(f326(f326(f234(a1),x90212),f326(x90211,x90213)))+~P106(f326(f326(f235(a920),x90214),x90213))+~P106(f326(f326(f234(a1),f326(x90211,x90214)),x90212))
% 163.42/163.17 [9022]~P109(x90221)+~P14(x90221,x90223)+P14(x90221,x90222)+~E(x90222,f326(f326(f151(x90221),x90224),x90223))+P106(f326(f326(f328(x90221),f730(x90222,x90221,x90223,x90224)),f326(f172(x90221),x90223)))
% 163.42/163.17 [9040]~P113(x90404)+~P133(x90404)+~E(f326(f326(f11(x90401,x90404),x90402),x90403),f2(x90404))+~P106(f326(f60(x90401),x90403))+P106(f326(f326(f328(x90401),f884(x90402,x90403,x90401,x90404)),x90403))
% 163.42/163.17 [9078]~E(f326(x90782,x90784),f77(a920))+E(f326(f326(f8(x90781,a920),x90782),x90783),f77(a920))+~P106(f326(f60(x90781),x90783))+~P106(f326(f326(f328(x90781),x90784),x90783))+P106(f326(f326(f328(x90781),f898(x90782,x90783,x90781,x90784)),x90783))
% 163.42/163.17 [9090]E(x90901,x90902)+~E(f326(f326(f79(a1),x90902),x90904),x90901)+~P106(f326(f326(f235(a1),f2(a1)),x90904))+~P106(f326(f326(f328(a1),x90901),x90903))+P106(f326(f326(f328(a1),f458(x90903,x90901,x90904,x90902)),x90903))
% 163.42/163.17 [9091]E(x90911,x90912)+~E(f326(f326(f3(a1),x90912),x90914),x90911)+~P106(f326(f326(f235(a1),f2(a1)),x90914))+~P106(f326(f326(f328(a1),x90911),x90913))+P106(f326(f326(f328(a1),f460(x90913,x90911,x90914,x90912)),x90913))
% 163.42/163.17 [9093]~E(f326(x90932,x90934),f326(a112,f2(a920)))+E(f326(f326(f8(x90931,a920),x90932),x90933),f326(a112,f2(a920)))+~P106(f326(f60(x90931),x90933))+~P106(f326(f326(f328(x90931),x90934),x90933))+P106(f326(f326(f328(x90931),f896(x90932,x90933,x90931,x90934)),x90933))
% 163.42/163.17 [9098]P60(x90982,x90983,x90984,x90981)+E(x90981,f189(f928(x90982,a916)))+~P106(f326(f60(x90982),x90984))+~P106(f326(f60(x90982),x90981))+P106(f326(f326(f328(x90982),f798(x90983,x90981,x90984,x90982)),x90984))
% 163.42/163.17 [9099]P60(x90992,x90993,x90994,x90991)+E(x90991,f189(f928(x90992,a916)))+~P106(f326(f60(x90992),x90994))+~P106(f326(f60(x90992),x90991))+P106(f326(f326(f328(x90992),f520(x90991,x90994,x90993,x90992)),x90994))
% 163.42/163.17 [9100]P60(x91002,x91003,x91004,x91001)+E(x91001,f189(f928(x91002,a916)))+~P106(f326(f60(x91002),x91004))+~P106(f326(f60(x91002),x91001))+P106(f326(f326(f328(x91002),f799(x91001,x91004,x91003,x91002)),x91004))
% 163.42/163.17 [9173]E(x91731,x91732)+~E(f326(f326(f79(a1),x91732),x91734),x91731)+~P106(f326(f326(f235(a1),f2(a1)),x91734))+~P106(f326(f326(f328(a1),x91731),x91733))+P106(f326(f326(f328(a1),f459(x91733,x91731,x91734,x91732)),f302(a1,f77(a1),x91734)))
% 163.42/163.17 [9174]E(x91741,x91742)+~E(f326(f326(f3(a1),x91742),x91744),x91741)+~P106(f326(f326(f235(a1),f2(a1)),x91744))+~P106(f326(f326(f328(a1),x91741),x91743))+P106(f326(f326(f328(a1),f461(x91743,x91741,x91744,x91742)),f302(a1,f77(a1),x91744)))
% 163.42/163.17 [9247]P106(f326(f326(f234(a920),x92471),f361(x92472,x92473,x92474,x92471)))+~P106(f326(f326(f234(a1),x92472),f326(x92473,x92474)))+P106(f326(f326(f234(a920),x92471),f362(x92472,x92473,x92474,x92471)))+~P106(f326(f326(f235(a920),x92471),x92474))+~P106(f326(f326(f234(a1),f326(x92473,x92471)),x92472))
% 163.42/163.17 [9361]E(f326(x93611,f361(x93612,x93611,x93613,x93614)),x93612)+~P106(f326(f326(f234(a1),x93612),f326(x93611,x93613)))+P106(f326(f326(f235(a920),f362(x93612,x93611,x93613,x93614)),x93613))+~P106(f326(f326(f235(a920),x93614),x93613))+~P106(f326(f326(f234(a1),f326(x93611,x93614)),x93612))
% 163.42/163.17 [9474]~P106(f326(f326(f286(a920),x94744),x94741))+~P106(f326(f326(f286(a920),x94744),x94743))+~P106(f326(f326(f286(a920),x94742),x94741))+P106(f326(f326(f286(a920),x94741),x94742))+P106(f326(f326(f235(f928(a920,a916)),f289(a920,f286(a920),x94743,x94742)),f289(a920,f286(a920),x94744,x94741)))
% 163.42/163.17 [9475]~P106(f326(f326(f286(a920),x94752),x94751))+~P106(f326(f326(f286(a920),x94753),x94754))+~P106(f326(f326(f286(a920),x94752),x94754))+P106(f326(f326(f286(a920),x94751),x94752))+P106(f326(f326(f235(f928(a920,a916)),f289(a920,f286(a920),x94751,x94753)),f289(a920,f286(a920),x94752,x94754)))
% 163.42/163.17 [9492]~P106(f326(f326(f234(a1),x94922),f326(x94923,x94924)))+P106(f326(f326(f234(a920),x94921),f362(x94922,x94923,x94924,x94921)))+P106(f326(f326(f234(a920),f361(x94922,x94923,x94924,x94921)),x94924))+~P106(f326(f326(f235(a920),x94921),x94924))+~P106(f326(f326(f234(a1),f326(x94923,x94921)),x94922))
% 163.42/163.17 [9493]~P106(f326(f326(f234(a1),x94932),f326(x94933,x94934)))+P106(f326(f326(f234(a920),x94931),f361(x94932,x94933,x94934,x94931)))+P106(f326(f326(f235(a920),f362(x94932,x94933,x94934,x94931)),x94934))+~P106(f326(f326(f235(a920),x94931),x94934))+~P106(f326(f326(f234(a1),f326(x94933,x94931)),x94932))
% 163.42/163.17 [9601]~P106(f326(f326(f234(a1),x96011),f326(x96012,x96013)))+P106(f326(f326(f235(a920),f362(x96011,x96012,x96013,x96014)),x96013))+~P106(f326(f326(f235(a920),x96014),x96013))+~P106(f326(f326(f234(a1),f326(x96012,x96014)),x96011))+P106(f326(f326(f234(a920),f361(x96011,x96012,x96013,x96014)),x96013))
% 163.42/163.17 [9693]E(x96931,f189(f928(x96932,a916)))+~P106(f326(f60(x96932),x96934))+~P106(f326(f60(x96932),x96931))+P106(f326(f326(f328(f927(f928(x96932,a916),f928(x96932,a916))),f326(f326(f251(f928(x96932,a916),f928(x96932,a916)),x96934),x96931)),f317(x96932,x96933)))+P106(f326(f326(f328(x96932),f400(x96933,x96931,x96934,x96932)),x96934))
% 163.42/163.17 [9694]E(x96941,f189(f928(x96942,a916)))+~P106(f326(f60(x96942),x96944))+~P106(f326(f60(x96942),x96941))+P106(f326(f326(f328(f927(f928(x96942,a916),f928(x96942,a916))),f326(f326(f251(f928(x96942,a916),f928(x96942,a916)),x96944),x96941)),f317(x96942,x96943)))+P106(f326(f326(f328(x96942),f606(x96943,x96941,x96944,x96942)),x96944))
% 163.42/163.17 [10369]E(f326(x103691,f361(x103692,x103691,x103693,x103694)),x103692)+~P106(f326(f326(f234(a1),x103692),f326(x103691,x103693)))+~P106(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x103691,f326(f326(f79(a920),f362(x103692,x103691,x103693,x103694)),f77(a920)))),f326(x103691,f362(x103692,x103691,x103693,x103694))))),f77(a1)))+~P106(f326(f326(f235(a920),x103694),x103693))+~P106(f326(f326(f234(a1),f326(x103691,x103694)),x103692))
% 163.42/163.17 [10370]~P106(f326(f326(f234(a1),x103702),f326(x103703,x103704)))+P106(f326(f326(f234(a920),x103701),f361(x103702,x103703,x103704,x103701)))+~P106(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x103703,f326(f326(f79(a920),f362(x103702,x103703,x103704,x103701)),f77(a920)))),f326(x103703,f362(x103702,x103703,x103704,x103701))))),f77(a1)))+~P106(f326(f326(f235(a920),x103701),x103704))+~P106(f326(f326(f234(a1),f326(x103703,x103701)),x103702))
% 163.42/163.17 [10371]~P106(f326(f326(f234(a1),x103711),f326(x103712,x103713)))+~P106(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x103712,f326(f326(f79(a920),f362(x103711,x103712,x103713,x103714)),f77(a920)))),f326(x103712,f362(x103711,x103712,x103713,x103714))))),f77(a1)))+~P106(f326(f326(f235(a920),x103714),x103713))+~P106(f326(f326(f234(a1),f326(x103712,x103714)),x103711))+P106(f326(f326(f234(a920),f361(x103711,x103712,x103713,x103714)),x103713))
% 163.42/163.17 [7436]~P67(x74361)+P106(f326(f326(f235(x74361),x74362),f2(x74361)))+~P106(f326(f326(f234(x74361),x74363),f2(x74361)))+P106(f326(f326(f235(x74361),f2(x74361)),x74362))+P106(f326(f326(f234(x74361),x74363),f326(f326(f290(x74361),x74364),x74362)))
% 163.42/163.17 [7437]~P67(x74371)+P106(f326(f326(f235(x74371),x74372),f2(x74371)))+~P106(f326(f326(f235(x74371),x74373),f2(x74371)))+P106(f326(f326(f235(x74371),f2(x74371)),x74372))+P106(f326(f326(f235(x74371),x74373),f326(f326(f290(x74371),x74374),x74372)))
% 163.42/163.17 [7684]~P67(x76841)+P106(f326(f326(f234(x76841),x76842),f2(x76841)))+P106(f326(f326(f235(x76841),x76843),f2(x76841)))+P106(f326(f326(f235(x76841),f2(x76841)),x76843))+~P106(f326(f326(f234(x76841),x76842),f326(f326(f290(x76841),x76844),x76843)))
% 163.42/163.17 [7685]~P67(x76851)+P106(f326(f326(f235(x76851),x76852),f2(x76851)))+P106(f326(f326(f235(x76851),x76853),f2(x76851)))+P106(f326(f326(f235(x76851),f2(x76851)),x76853))+~P106(f326(f326(f235(x76851),x76852),f326(f326(f290(x76851),x76854),x76853)))
% 163.42/163.17 [7801]E(x78011,x78012)+~E(f326(f326(f164(x78013),x78014),x78011),f326(f326(f164(x78013),x78014),x78012))+~P106(f326(f137(x78013),x78014))+~P106(f326(f326(f235(a920),x78012),f326(f190(f921(x78013)),x78014)))+~P106(f326(f326(f235(a920),x78011),f326(f190(f921(x78013)),x78014)))
% 163.42/163.17 [8164]~P67(x81641)+~P106(f326(f326(f234(x81641),x81643),f2(x81641)))+P106(f326(f326(f235(x81641),f2(x81641)),x81642))+~P106(f326(f326(f234(x81641),x81644),f326(f326(f80(x81641),x81643),x81642)))+P106(f326(f326(f234(x81641),x81643),f326(f326(f290(x81641),x81644),x81642)))
% 163.42/163.17 [8165]~P67(x81651)+~P106(f326(f326(f235(x81651),x81653),f2(x81651)))+P106(f326(f326(f235(x81651),f2(x81651)),x81652))+~P106(f326(f326(f235(x81651),x81654),f326(f326(f80(x81651),x81653),x81652)))+P106(f326(f326(f235(x81651),x81653),f326(f326(f290(x81651),x81654),x81652)))
% 163.42/163.17 [8166]~P67(x81661)+~P106(f326(f326(f235(x81661),x81662),f2(x81661)))+P106(f326(f326(f235(x81661),f2(x81661)),x81662))+~P106(f326(f326(f234(x81661),x81664),f326(f326(f80(x81661),x81663),x81662)))+P106(f326(f326(f234(x81661),x81663),f326(f326(f290(x81661),x81664),x81662)))
% 163.42/163.17 [8167]~P67(x81671)+~P106(f326(f326(f235(x81671),x81672),f2(x81671)))+P106(f326(f326(f235(x81671),f2(x81671)),x81672))+~P106(f326(f326(f234(x81671),x81674),f326(f326(f290(x81671),x81673),x81672)))+P106(f326(f326(f234(x81671),x81673),f326(f326(f80(x81671),x81674),x81672)))
% 163.42/163.17 [8168]~P67(x81681)+~P106(f326(f326(f235(x81681),x81682),f2(x81681)))+P106(f326(f326(f235(x81681),f2(x81681)),x81682))+~P106(f326(f326(f235(x81681),x81684),f326(f326(f80(x81681),x81683),x81682)))+P106(f326(f326(f235(x81681),x81683),f326(f326(f290(x81681),x81684),x81682)))
% 163.42/163.17 [8169]~P67(x81691)+~P106(f326(f326(f235(x81691),x81692),f2(x81691)))+P106(f326(f326(f235(x81691),f2(x81691)),x81692))+~P106(f326(f326(f235(x81691),x81694),f326(f326(f290(x81691),x81693),x81692)))+P106(f326(f326(f235(x81691),x81693),f326(f326(f80(x81691),x81694),x81692)))
% 163.42/163.17 [8309]~P109(x83091)+~P14(x83091,x83092)+~P106(f326(f326(f234(a920),x83093),x83094))+P106(f326(f326(f234(x83091),f326(f326(f164(x83091),x83092),x83093)),f326(f326(f164(x83091),x83092),x83094)))+~P106(f326(f326(f235(a920),x83094),f326(f190(f921(x83091)),x83092)))
% 163.42/163.17 [8362]~P127(x83621)+~P106(f326(f326(f234(x83621),x83622),f77(x83621)))+~P106(f326(f326(f234(x83621),f2(x83621)),x83622))+~P106(f326(f326(f234(a920),x83624),x83623))+P106(f326(f326(f234(x83621),f326(f326(f243(x83621),x83622),x83623)),f326(f326(f243(x83621),x83622),x83624)))
% 163.42/163.17 [8363]~P127(x83631)+~P106(f326(f326(f235(x83631),x83632),f77(x83631)))+~P106(f326(f326(f235(x83631),f2(x83631)),x83632))+~P106(f326(f326(f235(a920),x83634),x83633))+P106(f326(f326(f235(x83631),f326(f326(f243(x83631),x83632),x83633)),f326(f326(f243(x83631),x83632),x83634)))
% 163.42/163.17 [8364]~P127(x83641)+~P106(f326(f326(f234(x83641),f2(x83641)),x83642))+~P106(f326(f326(f235(a920),f2(a920)),x83643))+~P106(f326(f326(f235(x83641),x83642),x83644))+P106(f326(f326(f235(x83641),f326(f326(f243(x83641),x83642),x83643)),f326(f326(f243(x83641),x83644),x83643)))
% 163.42/163.17 [8382]~P109(x83821)+~P14(x83821,f326(f168(x83821),x83822))+~P106(f326(f326(f234(a920),x83824),x83823))+P106(f326(f326(f234(x83821),f326(f326(f164(x83821),x83822),x83823)),f326(f326(f164(x83821),x83822),x83824)))+~P106(f326(f326(f235(a920),x83823),f326(f190(f921(x83821)),x83822)))
% 163.42/163.17 [8625]~P67(x86251)+~P106(f326(f326(f234(x86251),x86252),f2(x86251)))+~P106(f326(f326(f234(x86251),x86253),x86254))+~P106(f326(f326(f235(x86251),f2(x86251)),f326(f326(f80(x86251),x86253),x86254)))+P106(f326(f326(f234(x86251),f326(f326(f290(x86251),x86252),x86253)),f326(f326(f290(x86251),x86252),x86254)))
% 163.42/163.17 [8626]~P68(x86261)+~P106(f326(f326(f235(x86261),x86262),f2(x86261)))+~P106(f326(f326(f235(x86261),x86263),x86264))+~P106(f326(f326(f235(x86261),f2(x86261)),f326(f326(f80(x86261),x86263),x86264)))+P106(f326(f326(f235(x86261),f326(f326(f290(x86261),x86262),x86263)),f326(f326(f290(x86261),x86262),x86264)))
% 163.42/163.17 [8635]~P68(x86351)+~P106(f326(f326(f234(x86351),x86354),x86353))+~P106(f326(f326(f234(x86351),f2(x86351)),x86352))+~P106(f326(f326(f235(x86351),f2(x86351)),f326(f326(f80(x86351),x86353),x86354)))+P106(f326(f326(f234(x86351),f326(f326(f290(x86351),x86352),x86353)),f326(f326(f290(x86351),x86352),x86354)))
% 163.42/163.17 [8636]~P68(x86361)+~P106(f326(f326(f235(x86361),x86364),x86363))+~P106(f326(f326(f235(x86361),f2(x86361)),x86362))+~P106(f326(f326(f235(x86361),f2(x86361)),f326(f326(f80(x86361),x86363),x86364)))+P106(f326(f326(f235(x86361),f326(f326(f290(x86361),x86362),x86363)),f326(f326(f290(x86361),x86362),x86364)))
% 163.42/163.17 [8736]P106(f326(x87361,x87362))+~P106(f326(f60(x87364),x87362))+P106(f326(x87361,f510(x87361,x87363,x87362,x87364)))+~P106(f326(x87361,f189(f928(x87364,a916))))+~P106(f326(f326(f234(f928(x87364,a916)),x87362),x87363))
% 163.42/163.17 [8745]P106(f326(x87451,x87452))+P106(f326(f60(x87453),f510(x87451,x87454,x87452,x87453)))+~P106(f326(f60(x87453),x87452))+~P106(f326(x87451,f189(f928(x87453,a916))))+~P106(f326(f326(f234(f928(x87453,a916)),x87452),x87454))
% 163.42/163.17 [9016]E(f326(f326(f79(a1),f462(x90161,x90162,x90163,x90164)),f463(x90161,x90162,x90163,x90164)),x90164)+~P106(f326(f326(f235(a1),f2(a1)),x90163))+~P106(f326(f326(f235(a1),x90162),x90164))+~P106(f326(f326(f328(a1),x90162),x90161))+P106(f326(f326(f235(a1),x90162),f326(f326(f3(a1),x90164),x90163)))
% 163.42/163.17 [9229]~P106(f326(f326(f235(a1),f2(a1)),x92293))+~P106(f326(f326(f235(a1),x92292),x92294))+~P106(f326(f326(f328(a1),x92292),x92291))+P106(f326(f326(f328(a1),f462(x92291,x92292,x92293,x92294)),x92291))+P106(f326(f326(f235(a1),x92292),f326(f326(f3(a1),x92294),x92293)))
% 163.42/163.17 [9240]P106(f326(x92401,x92402))+~P106(f326(f60(x92403),x92402))+P106(f326(f326(f328(x92403),f506(x92401,x92404,x92402,x92403)),x92404))+~P106(f326(x92401,f189(f928(x92403,a916))))+~P106(f326(f326(f234(f928(x92403,a916)),x92402),x92404))
% 163.42/163.17 [9257]E(f326(f326(f79(a1),f447(x92571,x92572,x92573,x92574)),f448(x92571,x92572,x92573,x92574)),x92574)+~P106(f326(f326(f235(a1),f2(a1)),x92573))+~P106(f326(f326(f234(a1),x92572),x92574))+P106(f326(f326(f234(a1),x92572),f326(f326(f3(a1),x92574),x92573)))+~P106(f326(f326(f328(a1),f326(f326(f3(a1),x92572),f77(a1))),x92571))
% 163.42/163.17 [9311]~P106(f326(f326(f235(a1),f2(a1)),x93113))+~P106(f326(f326(f235(a1),x93111),x93112))+~P106(f326(f326(f328(a1),x93111),x93114))+P106(f326(f326(f328(a1),f463(x93114,x93111,x93113,x93112)),f302(a1,f77(a1),x93113)))+P106(f326(f326(f235(a1),x93111),f326(f326(f3(a1),x93112),x93113)))
% 163.42/163.17 [9337]~P72(x93372)+~E(f777(x93373,x93374,x93371,x93372),f778(x93373,x93374,x93371,x93372))+~P106(f326(f60(x93371),f779(x93373,x93374,x93371,x93372)))+E(f326(f326(f8(f928(x93371,a916),x93372),f326(f8(x93371,x93372),x93373)),x93374),f326(f326(f8(x93371,x93372),x93373),f36(f928(x93371,a916),x93374)))+~P106(f326(f60(f928(x93371,a916)),x93374))
% 163.42/163.17 [9341]~P72(x93412)+~E(f326(x93413,f782(x93413,x93414,x93411,x93412)),f2(x93412))+~P106(f326(f60(x93411),f779(x93413,x93414,x93411,x93412)))+E(f326(f326(f8(f928(x93411,a916),x93412),f326(f8(x93411,x93412),x93413)),x93414),f326(f326(f8(x93411,x93412),x93413),f36(f928(x93411,a916),x93414)))+~P106(f326(f60(f928(x93411,a916)),x93414))
% 163.42/163.17 [9404]~P106(f326(f326(f235(a1),f2(a1)),x94043))+~P106(f326(f326(f234(a1),x94042),x94044))+P106(f326(f326(f328(a1),f447(x94041,x94042,x94043,x94044)),x94041))+P106(f326(f326(f234(a1),x94042),f326(f326(f3(a1),x94044),x94043)))+~P106(f326(f326(f328(a1),f326(f326(f3(a1),x94042),f77(a1))),x94041))
% 163.42/163.17 [9449]~P106(f326(f326(f235(a1),f2(a1)),x94493))+~P106(f326(f326(f234(a1),x94491),x94492))+P106(f326(f326(f328(a1),f448(x94494,x94491,x94493,x94492)),f302(a1,f77(a1),x94493)))+P106(f326(f326(f234(a1),x94491),f326(f326(f3(a1),x94492),x94493)))+~P106(f326(f326(f328(a1),f326(f326(f3(a1),x94491),f77(a1))),x94494))
% 163.42/163.17 [9470]~P72(x94702)+~E(f777(x94703,x94704,x94701,x94702),f778(x94703,x94704,x94701,x94702))+E(f326(f326(f8(f928(x94701,a916),x94702),f326(f8(x94701,x94702),x94703)),x94704),f326(f326(f8(x94701,x94702),x94703),f36(f928(x94701,a916),x94704)))+P106(f326(f326(f328(f928(x94701,a916)),f779(x94703,x94704,x94701,x94702)),x94704))+~P106(f326(f60(f928(x94701,a916)),x94704))
% 163.42/163.17 [9477]~P72(x94772)+~E(f326(x94773,f782(x94773,x94774,x94771,x94772)),f2(x94772))+E(f326(f326(f8(f928(x94771,a916),x94772),f326(f8(x94771,x94772),x94773)),x94774),f326(f326(f8(x94771,x94772),x94773),f36(f928(x94771,a916),x94774)))+P106(f326(f326(f328(f928(x94771,a916)),f779(x94773,x94774,x94771,x94772)),x94774))+~P106(f326(f60(f928(x94771,a916)),x94774))
% 163.42/163.17 [9578]~P72(x95782)+~P106(f326(f60(x95781),f779(x95783,x95784,x95781,x95782)))+E(f326(f326(f8(f928(x95781,a916),x95782),f326(f8(x95781,x95782),x95783)),x95784),f326(f326(f8(x95781,x95782),x95783),f36(f928(x95781,a916),x95784)))+P106(f326(f326(f328(f928(x95781,a916)),f778(x95783,x95784,x95781,x95782)),x95784))+~P106(f326(f60(f928(x95781,a916)),x95784))
% 163.42/163.17 [9579]~P72(x95792)+~P106(f326(f60(x95791),f779(x95793,x95794,x95791,x95792)))+E(f326(f326(f8(f928(x95791,a916),x95792),f326(f8(x95791,x95792),x95793)),x95794),f326(f326(f8(x95791,x95792),x95793),f36(f928(x95791,a916),x95794)))+P106(f326(f326(f328(f928(x95791,a916)),f777(x95793,x95794,x95791,x95792)),x95794))+~P106(f326(f60(f928(x95791,a916)),x95794))
% 163.42/163.17 [9659]~P72(x96592)+E(f326(f326(f8(f928(x96591,a916),x96592),f326(f8(x96591,x96592),x96593)),x96594),f326(f326(f8(x96591,x96592),x96593),f36(f928(x96591,a916),x96594)))+P106(f326(f326(f328(f928(x96591,a916)),f779(x96593,x96594,x96591,x96592)),x96594))+P106(f326(f326(f328(f928(x96591,a916)),f778(x96593,x96594,x96591,x96592)),x96594))+~P106(f326(f60(f928(x96591,a916)),x96594))
% 163.42/163.17 [9660]~P72(x96602)+E(f326(f326(f8(f928(x96601,a916),x96602),f326(f8(x96601,x96602),x96603)),x96604),f326(f326(f8(x96601,x96602),x96603),f36(f928(x96601,a916),x96604)))+P106(f326(f326(f328(f928(x96601,a916)),f779(x96603,x96604,x96601,x96602)),x96604))+P106(f326(f326(f328(f928(x96601,a916)),f777(x96603,x96604,x96601,x96602)),x96604))+~P106(f326(f60(f928(x96601,a916)),x96604))
% 163.42/163.17 [9679]~P72(x96792)+P106(f326(f326(f328(x96791),f782(x96793,x96794,x96791,x96792)),f778(x96793,x96794,x96791,x96792)))+~P106(f326(f60(x96791),f779(x96793,x96794,x96791,x96792)))+E(f326(f326(f8(f928(x96791,a916),x96792),f326(f8(x96791,x96792),x96793)),x96794),f326(f326(f8(x96791,x96792),x96793),f36(f928(x96791,a916),x96794)))+~P106(f326(f60(f928(x96791,a916)),x96794))
% 163.42/163.17 [9680]~P72(x96802)+P106(f326(f326(f328(x96801),f782(x96803,x96804,x96801,x96802)),f777(x96803,x96804,x96801,x96802)))+~P106(f326(f60(x96801),f779(x96803,x96804,x96801,x96802)))+E(f326(f326(f8(f928(x96801,a916),x96802),f326(f8(x96801,x96802),x96803)),x96804),f326(f326(f8(x96801,x96802),x96803),f36(f928(x96801,a916),x96804)))+~P106(f326(f60(f928(x96801,a916)),x96804))
% 163.42/163.17 [9697]P106(f326(x96971,x96972))+~P106(f326(f326(f328(x96973),f506(x96971,x96974,x96972,x96973)),f510(x96971,x96974,x96972,x96973)))+~P106(f326(f60(x96973),x96972))+~P106(f326(x96971,f189(f928(x96973,a916))))+~P106(f326(f326(f234(f928(x96973,a916)),x96972),x96974))
% 163.42/163.17 [9735]~P72(x97352)+P106(f326(f326(f328(x97351),f782(x97353,x97354,x97351,x97352)),f778(x97353,x97354,x97351,x97352)))+E(f326(f326(f8(f928(x97351,a916),x97352),f326(f8(x97351,x97352),x97353)),x97354),f326(f326(f8(x97351,x97352),x97353),f36(f928(x97351,a916),x97354)))+P106(f326(f326(f328(f928(x97351,a916)),f779(x97353,x97354,x97351,x97352)),x97354))+~P106(f326(f60(f928(x97351,a916)),x97354))
% 163.42/163.17 [9736]~P72(x97362)+P106(f326(f326(f328(x97361),f782(x97363,x97364,x97361,x97362)),f777(x97363,x97364,x97361,x97362)))+E(f326(f326(f8(f928(x97361,a916),x97362),f326(f8(x97361,x97362),x97363)),x97364),f326(f326(f8(x97361,x97362),x97363),f36(f928(x97361,a916),x97364)))+P106(f326(f326(f328(f928(x97361,a916)),f779(x97363,x97364,x97361,x97362)),x97364))+~P106(f326(f60(f928(x97361,a916)),x97364))
% 163.42/163.17 [9911]P106(f326(x99111,x99112))+~P106(f326(f60(x99113),x99112))+~P106(f326(x99111,f326(f326(f308(x99113),f506(x99111,x99114,x99112,x99113)),f510(x99111,x99114,x99112,x99113))))+~P106(f326(x99111,f189(f928(x99113,a916))))+~P106(f326(f326(f234(f928(x99113,a916)),x99112),x99114))
% 163.42/163.17 [7936]~P67(x79361)+P106(f326(f326(f235(x79361),x79362),f2(x79361)))+~P106(f326(f326(f234(x79361),f2(x79361)),x79364))+P106(f326(f326(f235(x79361),f2(x79361)),x79362))+P106(f326(f326(f234(x79361),f326(f326(f290(x79361),x79363),x79362)),x79364))
% 163.42/163.17 [7937]~P67(x79371)+P106(f326(f326(f235(x79371),x79372),f2(x79371)))+P106(f326(f326(f235(x79371),f2(x79371)),x79372))+~P106(f326(f326(f235(x79371),f2(x79371)),x79374))+P106(f326(f326(f235(x79371),f326(f326(f290(x79371),x79373),x79372)),x79374))
% 163.42/163.17 [8216]~P106(f326(f326(f234(a1),x82164),f2(a1)))+~E(x82162,f326(f326(f79(a1),f326(f326(f80(a1),x82161),x82163)),x82164))+P106(f326(f326(f235(a1),f2(a1)),x82161))+~P106(f326(f326(f235(a1),x82161),x82164))+P106(f326(f48(x82162,x82161),f326(f326(f251(a1,a1),x82163),x82164)))
% 163.42/163.17 [8250]~P106(f326(x82501,x82504))+P106(f326(x82501,f353(x82502,x82501,x82503)))+~P106(f326(f326(f234(a1),f2(a1)),x82502))+~P106(f326(f326(f235(a1),f2(a1)),x82503))+P106(f326(x82501,f326(f326(f3(a1),x82504),f326(f326(f80(a1),x82502),x82503))))
% 163.42/163.17 [8251]~P106(f326(x82511,x82514))+P106(f326(x82511,f355(x82512,x82511,x82513)))+~P106(f326(f326(f234(a1),f2(a1)),x82512))+~P106(f326(f326(f235(a1),f2(a1)),x82513))+P106(f326(x82511,f326(f326(f79(a1),x82514),f326(f326(f80(a1),x82512),x82513))))
% 163.42/163.17 [8252]~P67(x82521)+P106(f326(f326(f235(x82521),x82522),f2(x82521)))+P106(f326(f326(f235(x82521),f2(x82521)),x82522))+P106(f326(f326(f234(x82521),f2(x82521)),x82523))+~P106(f326(f326(f234(x82521),f326(f326(f290(x82521),x82524),x82522)),x82523))
% 163.42/163.17 [8253]~P67(x82531)+P106(f326(f326(f235(x82531),x82532),f2(x82531)))+P106(f326(f326(f235(x82531),f2(x82531)),x82532))+P106(f326(f326(f235(x82531),f2(x82531)),x82533))+~P106(f326(f326(f235(x82531),f326(f326(f290(x82531),x82534),x82532)),x82533))
% 163.42/163.17 [8304]~E(x83041,f326(f326(f79(a1),f326(f326(f80(a1),x83042),x83043)),x83044))+~P106(f326(f326(f234(a1),f2(a1)),x83044))+~P106(f326(f326(f235(a1),f2(a1)),x83042))+~P106(f326(f326(f235(a1),x83044),x83042))+P106(f326(f48(x83041,x83042),f326(f326(f251(a1,a1),x83043),x83044)))
% 163.42/163.17 [8421]~P67(x84211)+P106(f326(f326(f235(x84211),x84212),f2(x84211)))+~P106(f326(f326(f234(x84211),f2(x84211)),x84214))+~P106(f326(f326(f234(x84211),x84213),f326(f326(f80(x84211),x84214),x84212)))+P106(f326(f326(f234(x84211),f326(f326(f290(x84211),x84213),x84212)),x84214))
% 163.42/163.17 [8422]~P67(x84221)+P106(f326(f326(f235(x84221),x84222),f2(x84221)))+~P106(f326(f326(f235(x84221),f2(x84221)),x84224))+~P106(f326(f326(f235(x84221),x84223),f326(f326(f80(x84221),x84224),x84222)))+P106(f326(f326(f235(x84221),f326(f326(f290(x84221),x84223),x84222)),x84224))
% 163.42/163.17 [8506]~P67(x85061)+P106(f326(f326(f235(x85061),x85062),f2(x85061)))+~P106(f326(f326(f234(x85061),x85063),f2(x85061)))+P106(f326(f326(f234(x85061),x85063),f326(f326(f290(x85061),x85064),x85062)))+~P106(f326(f326(f234(x85061),f326(f326(f80(x85061),x85063),x85062)),x85064))
% 163.42/163.17 [8507]~P67(x85071)+P106(f326(f326(f235(x85071),x85072),f2(x85071)))+~P106(f326(f326(f235(x85071),x85073),f2(x85071)))+P106(f326(f326(f235(x85071),x85073),f326(f326(f290(x85071),x85074),x85072)))+~P106(f326(f326(f235(x85071),f326(f326(f80(x85071),x85073),x85072)),x85074))
% 163.42/163.17 [8657]~P67(x86571)+~P106(f326(f326(f235(x86571),x86572),f2(x86571)))+P106(f326(f326(f235(x86571),f2(x86571)),x86572))+~P106(f326(f326(f234(x86571),f326(f326(f290(x86571),x86574),x86572)),x86573))+P106(f326(f326(f234(x86571),f326(f326(f80(x86571),x86573),x86572)),x86574))
% 163.42/163.17 [8658]~P67(x86581)+~P106(f326(f326(f235(x86581),x86582),f2(x86581)))+P106(f326(f326(f235(x86581),f2(x86581)),x86582))+~P106(f326(f326(f234(x86581),f326(f326(f80(x86581),x86584),x86582)),x86583))+P106(f326(f326(f234(x86581),f326(f326(f290(x86581),x86583),x86582)),x86584))
% 163.42/163.17 [8659]~P67(x86591)+~P106(f326(f326(f235(x86591),x86592),f2(x86591)))+P106(f326(f326(f235(x86591),f2(x86591)),x86592))+~P106(f326(f326(f235(x86591),f326(f326(f290(x86591),x86594),x86592)),x86593))+P106(f326(f326(f235(x86591),f326(f326(f80(x86591),x86593),x86592)),x86594))
% 163.42/163.17 [8660]~P67(x86601)+~P106(f326(f326(f235(x86601),x86602),f2(x86601)))+P106(f326(f326(f235(x86601),f2(x86601)),x86602))+~P106(f326(f326(f235(x86601),f326(f326(f80(x86601),x86604),x86602)),x86603))+P106(f326(f326(f235(x86601),f326(f326(f290(x86601),x86603),x86602)),x86604))
% 163.42/163.17 [8676]~P67(x86761)+~P106(f326(f326(f234(x86761),f2(x86761)),x86764))+P106(f326(f326(f235(x86761),f2(x86761)),x86762))+~P106(f326(f326(f234(x86761),f326(f326(f80(x86761),x86764),x86762)),x86763))+P106(f326(f326(f234(x86761),f326(f326(f290(x86761),x86763),x86762)),x86764))
% 163.42/163.17 [8677]~P67(x86771)+~P106(f326(f326(f235(x86771),f2(x86771)),x86774))+P106(f326(f326(f235(x86771),f2(x86771)),x86772))+~P106(f326(f326(f235(x86771),f326(f326(f80(x86771),x86774),x86772)),x86773))+P106(f326(f326(f235(x86771),f326(f326(f290(x86771),x86773),x86772)),x86774))
% 163.42/163.17 [8753]~P67(x87531)+~P106(f326(f326(f235(x87531),x87534),f2(x87531)))+~P106(f326(f326(f234(x87531),x87533),f326(f326(f80(x87531),x87532),x87534)))+P106(f326(f326(f234(x87531),x87532),f326(f326(f290(x87531),x87533),x87534)))+~P106(f326(f326(f234(x87531),f326(f326(f80(x87531),x87532),x87534)),x87533))
% 163.42/163.17 [8754]~P67(x87541)+~P106(f326(f326(f234(x87541),x87542),f2(x87541)))+~P106(f326(f326(f234(x87541),x87543),f326(f326(f80(x87541),x87542),x87544)))+P106(f326(f326(f234(x87541),x87542),f326(f326(f290(x87541),x87543),x87544)))+~P106(f326(f326(f234(x87541),f326(f326(f80(x87541),x87542),x87544)),x87543))
% 163.42/163.17 [8755]~P67(x87551)+~P106(f326(f326(f235(x87551),x87554),f2(x87551)))+~P106(f326(f326(f235(x87551),x87553),f326(f326(f80(x87551),x87552),x87554)))+P106(f326(f326(f235(x87551),x87552),f326(f326(f290(x87551),x87553),x87554)))+~P106(f326(f326(f235(x87551),f326(f326(f80(x87551),x87552),x87554)),x87553))
% 163.42/163.17 [8756]~P67(x87561)+~P106(f326(f326(f235(x87561),x87562),f2(x87561)))+~P106(f326(f326(f235(x87561),x87563),f326(f326(f80(x87561),x87562),x87564)))+P106(f326(f326(f235(x87561),x87562),f326(f326(f290(x87561),x87563),x87564)))+~P106(f326(f326(f235(x87561),f326(f326(f80(x87561),x87562),x87564)),x87563))
% 163.42/163.17 [8881]~P67(x88811)+~P106(f326(f326(f235(x88811),x88813),f2(x88811)))+~P106(f326(f326(f234(x88811),x88812),f326(f326(f80(x88811),x88814),x88813)))+~P106(f326(f326(f234(x88811),f326(f326(f80(x88811),x88814),x88813)),x88812))+P106(f326(f326(f234(x88811),f326(f326(f290(x88811),x88812),x88813)),x88814))
% 163.42/163.17 [8882]~P67(x88821)+~P106(f326(f326(f235(x88821),x88823),f2(x88821)))+~P106(f326(f326(f235(x88821),x88822),f326(f326(f80(x88821),x88824),x88823)))+~P106(f326(f326(f235(x88821),f326(f326(f80(x88821),x88824),x88823)),x88822))+P106(f326(f326(f235(x88821),f326(f326(f290(x88821),x88822),x88823)),x88824))
% 163.42/163.17 [8899]~P67(x88991)+~P106(f326(f326(f234(x88991),f2(x88991)),x88994))+~P106(f326(f326(f234(x88991),x88992),f326(f326(f80(x88991),x88994),x88993)))+~P106(f326(f326(f234(x88991),f326(f326(f80(x88991),x88994),x88993)),x88992))+P106(f326(f326(f234(x88991),f326(f326(f290(x88991),x88992),x88993)),x88994))
% 163.42/163.17 [8900]~P67(x89001)+~P106(f326(f326(f235(x89001),f2(x89001)),x89004))+~P106(f326(f326(f235(x89001),x89002),f326(f326(f80(x89001),x89004),x89003)))+~P106(f326(f326(f235(x89001),f326(f326(f80(x89001),x89004),x89003)),x89002))+P106(f326(f326(f235(x89001),f326(f326(f290(x89001),x89002),x89003)),x89004))
% 163.42/163.17 [9083]E(f326(f326(f3(a1),f469(x90831,x90832,x90833,x90834)),f470(x90831,x90832,x90833,x90834)),x90834)+~P106(f326(f326(f235(a1),f2(a1)),x90833))+~P106(f326(f326(f328(a1),x90832),x90831))+~P106(f326(f326(f235(a1),x90834),x90832))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x90834),x90833)),x90832))
% 163.42/163.17 [9154]~P106(f326(x91541,x91542))+~P106(f326(f326(f234(a1),f2(a1)),x91543))+~P106(f326(f326(f235(a1),f2(a1)),x91544))+~P106(f326(x91541,f326(f326(f3(a1),f353(x91543,x91541,x91544)),x91544)))+P106(f326(x91541,f326(f326(f3(a1),x91542),f326(f326(f80(a1),x91543),x91544))))
% 163.42/163.17 [9155]~P106(f326(x91551,x91552))+~P106(f326(f326(f234(a1),f2(a1)),x91553))+~P106(f326(f326(f235(a1),f2(a1)),x91554))+~P106(f326(x91551,f326(f326(f79(a1),f355(x91553,x91551,x91554)),x91554)))+P106(f326(x91551,f326(f326(f79(a1),x91552),f326(f326(f80(a1),x91553),x91554))))
% 163.42/163.17 [9305]~P106(f326(f326(f235(a1),f2(a1)),x93053))+~P106(f326(f326(f328(a1),x93052),x93051))+~P106(f326(f326(f235(a1),x93054),x93052))+P106(f326(f326(f328(a1),f469(x93051,x93052,x93053,x93054)),x93051))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x93054),x93053)),x93052))
% 163.42/163.17 [9324]E(f326(f326(f3(a1),f449(x93241,x93242,x93243,x93244)),f450(x93241,x93242,x93243,x93244)),x93244)+~P106(f326(f326(f235(a1),f2(a1)),x93243))+~P106(f326(f326(f234(a1),x93244),x93242))+~P106(f326(f326(f328(a1),f326(f326(f79(a1),x93242),f77(a1))),x93241))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x93244),x93243)),x93242))
% 163.42/163.17 [9352]~P106(f326(f326(f235(a1),f2(a1)),x93522))+~P106(f326(f326(f328(a1),x93523),x93524))+~P106(f326(f326(f235(a1),x93521),x93523))+P106(f326(f326(f328(a1),f470(x93524,x93523,x93522,x93521)),f302(a1,f77(a1),x93522)))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x93521),x93522)),x93523))
% 163.42/163.17 [9441]~P106(f326(f326(f235(a1),f2(a1)),x94413))+~P106(f326(f326(f234(a1),x94414),x94412))+P106(f326(f326(f328(a1),f449(x94411,x94412,x94413,x94414)),x94411))+~P106(f326(f326(f328(a1),f326(f326(f79(a1),x94412),f77(a1))),x94411))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x94414),x94413)),x94412))
% 163.42/163.17 [9488]~P106(f326(f326(f235(a1),f2(a1)),x94882))+~P106(f326(f326(f234(a1),x94881),x94883))+P106(f326(f326(f328(a1),f450(x94884,x94883,x94882,x94881)),f302(a1,f77(a1),x94882)))+~P106(f326(f326(f328(a1),f326(f326(f79(a1),x94883),f77(a1))),x94884))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x94881),x94882)),x94883))
% 163.42/163.17 [9789]~P39(x97891,x97893)+~P28(x97891,x97894)+P39(x97891,f326(f326(f110(f928(f927(x97891,x97891),a916)),x97892),x97893))+~P106(f326(f326(f234(f928(f927(x97891,x97891),a916)),x97892),f326(f250(f928(f927(x97891,x97891),a916),f928(f927(x97891,x97891),a916)),x97894)))+~P106(f326(f326(f234(f928(f927(x97891,x97891),a916)),x97893),f326(f255(f928(f927(x97891,x97891),a916),f928(f927(x97891,x97891),a916)),x97894)))
% 163.42/163.17 [10179]~P19(x101792,x101794,x101793)+E(x101791,f189(f928(x101792,a916)))+~P106(f326(f60(x101792),x101791))+P106(f326(f326(f328(x101792),f326(x101793,x101791)),x101791))+~P106(f326(f326(f328(x101792),f326(f326(x101794,f471(x101791,x101793,x101794,x101792)),f479(x101791,x101793,x101794,x101792))),f326(f326(f308(x101792),f471(x101791,x101793,x101794,x101792)),f326(f326(f308(x101792),f479(x101791,x101793,x101794,x101792)),f189(f928(x101792,a916))))))
% 163.42/163.17 [10102]~P110(x101022)+~P64(x101021)+~P106(f326(f326(f234(f928(x101021,x101022)),x101023),x101024))+P106(f326(f326(f235(f928(x101021,x101022)),x101023),x101024))+~P106(f326(f55(x101021),f326(f326(f10(a916,a916,x101021),a321),f326(f326(f20(x101021,x101022,a916),f326(f326(f10(x101022,f928(x101022,a916),x101021),a323),x101023)),x101024))))
% 163.42/163.17 [9703]~P56(x97031,x97031,x97034)+P106(f326(f326(f328(f927(x97031,x97031)),f326(f326(f251(x97031,x97031),x97032),x97033)),f306(x97031,x97034)))+P106(f326(f326(f328(f927(x97031,x97031)),f326(f326(f251(x97031,x97031),x97033),x97032)),f306(x97031,x97034)))+~P106(f326(f326(f328(f927(x97031,x97031)),f326(f326(f251(x97031,x97031),x97035),x97032)),f306(x97031,x97034)))+~P106(f326(f326(f328(f927(x97031,x97031)),f326(f326(f251(x97031,x97031),x97035),x97033)),f306(x97031,x97034)))
% 163.42/163.17 [5823]E(x58231,f2(a920))+~E(f326(f34(x58232),x58235),x58231)+E(f326(f34(x58232),x58233),f326(a112,x58231))+~E(x58233,f326(f326(f308(x58232),x58234),x58235))+P106(f326(f326(f328(x58232),x58234),x58235))
% 163.42/163.17 [5945]~P66(x59452)+E(x59451,f2(x59452))+E(x59453,f2(x59452))+~E(f326(f326(f290(x59452),x59454),x59453),f326(f326(f290(x59452),x59455),x59451))+E(f326(f326(f80(x59452),x59454),x59451),f326(f326(f80(x59452),x59455),x59453))
% 163.42/163.17 [5946]~P66(x59462)+E(x59461,f2(x59462))+E(x59463,f2(x59462))+~E(f326(f326(f80(x59462),x59464),x59463),f326(f326(f80(x59462),x59465),x59461))+E(f326(f326(f290(x59462),x59464),x59461),f326(f326(f290(x59462),x59465),x59463))
% 163.42/163.17 [6015]~E(f326(f34(x60151),x60155),x60153)+~E(x60155,f189(f928(x60151,a916)))+E(f326(f34(x60151),x60152),f326(a112,x60153))+~E(x60152,f326(f326(f308(x60151),x60154),x60155))+P106(f326(f326(f328(x60151),x60154),x60155))
% 163.42/163.17 [6255]~P113(x62552)+~E(f326(x62553,x62555),f2(x62552))+E(f326(f326(f11(x62551,x62552),x62553),x62554),f2(x62552))+~P106(f326(f60(x62551),x62554))+~P106(f326(f326(f328(x62551),x62555),x62554))
% 163.42/163.17 [6634]~P109(x66343)+E(x66341,x66342)+~E(f326(f301(x66343,x66344),x66341),f326(f301(x66343,x66345),x66342))+~P106(f326(f326(f235(x66343),x66345),x66342))+~P106(f326(f326(f235(x66343),x66344),x66341))
% 163.42/163.17 [6635]~P109(x66353)+E(x66351,x66352)+~E(f326(f301(x66353,x66351),x66354),f326(f301(x66353,x66352),x66355))+~P106(f326(f326(f235(x66353),x66352),x66355))+~P106(f326(f326(f235(x66353),x66351),x66354))
% 163.42/163.17 [7701]~P109(x77011)+~P14(x77011,f326(f326(f134(x77011),x77014),x77015))+~P106(f326(f326(f328(x77011),x77013),f326(f172(x77011),x77015)))+~P106(f326(f326(f328(x77011),x77012),f326(f172(x77011),x77014)))+P106(f326(f326(f234(x77011),x77012),x77013))
% 163.42/163.17 [8790]~P110(x87901)+~P106(f326(f326(f235(f928(x87901,a916)),f302(x87901,x87905,x87902)),f302(x87901,x87904,x87903)))+~P106(f326(f326(f234(x87901),x87905),x87902))+P106(f326(f326(f235(x87901),x87902),x87903))+P106(f326(f326(f235(x87901),x87904),x87905))
% 163.42/163.17 [10222]~P18(x102222,x102225,x102223)+E(x102221,f189(f928(x102222,a916)))+~E(f326(f326(x102225,f326(x102224,f533(x102221,x102224,x102223,x102225,x102222))),f326(x102224,f534(x102221,x102224,x102223,x102225,x102222))),f326(x102224,f326(f326(x102225,f533(x102221,x102224,x102223,x102225,x102222)),f534(x102221,x102224,x102223,x102225,x102222))))+E(f326(x102223,f326(f309(x102222,x102222,x102224),x102221)),f326(x102224,f326(x102223,x102221)))+~P106(f326(f60(x102222),x102221))
% 163.42/163.17 [6631]~P19(x66312,x66315,x66313)+E(x66311,f189(f928(x66312,a916)))+~P106(f326(f60(x66312),x66311))+E(f326(x66313,f326(f326(f308(x66312),x66314),x66311)),f326(f326(x66315,x66314),f326(x66313,x66311)))+P106(f326(f326(f328(x66312),x66314),x66311))
% 163.42/163.17 [7464]~P18(x74642,x74643,x74644)+E(f326(f326(x74643,f326(x74644,x74641)),f326(x74644,x74645)),f326(x74644,x74645))+E(x74641,f189(f928(x74642,a916)))+~P106(f326(f60(x74642),x74645))+~P106(f326(f326(f234(f928(x74642,a916)),x74641),x74645))
% 163.42/163.17 [7836]~P19(x78364,x78365,x78361)+E(f326(x78361,x78362),x78363)+~P106(f326(f60(x78364),x78362))+~E(f326(f326(f3(f928(x78364,a916)),x78362),f326(f326(f308(x78364),x78363),f189(f928(x78364,a916)))),f189(f928(x78364,a916)))+~P106(f326(f326(f328(x78364),x78363),x78362))
% 163.42/163.17 [8711]~P77(x87111)+~P123(x87111)+~P106(f326(f60(x87112),x87115))+P106(f326(f326(f286(x87111),f326(f326(f11(x87112,x87111),x87113),x87114)),f326(f326(f11(x87112,x87111),x87113),x87115)))+~P106(f326(f326(f234(f928(x87112,a916)),x87114),x87115))
% 163.42/163.17 [8760]E(x87601,x87602)+~P9(x87603,x87604,x87605)+E(f326(f326(f101(f928(x87603,a916)),x87601),x87602),f189(f928(x87603,a916)))+~P106(f326(f326(f328(f928(x87603,a916)),x87602),f326(f326(f59(x87603),x87604),x87605)))+~P106(f326(f326(f328(f928(x87603,a916)),x87601),f326(f326(f59(x87603),x87604),x87605)))
% 163.42/163.17 [9571]~P72(x95712)+~E(f326(x95713,f909(x95713,x95714,x95715,x95711,x95712)),f2(x95712))+E(f326(f326(f8(x95711,x95712),x95713),x95714),f326(f326(f8(x95711,x95712),x95713),x95715))+~P106(f326(f60(x95711),x95715))+~P106(f326(f326(f234(f928(x95711,a916)),x95714),x95715))
% 163.42/163.17 [9572]~P72(x95722)+~E(f326(x95723,f911(x95723,x95724,x95725,x95721,x95722)),f2(x95722))+E(f326(f326(f8(x95721,x95722),x95723),x95724),f326(f326(f8(x95721,x95722),x95723),x95725))+~P106(f326(f60(x95721),x95725))+~P106(f326(f326(f234(f928(x95721,a916)),x95724),x95725))
% 163.42/163.17 [9573]~P77(x95732)+~E(f326(x95733,f872(x95733,x95734,x95735,x95731,x95732)),f77(x95732))+E(f326(f326(f11(x95731,x95732),x95733),x95734),f326(f326(f11(x95731,x95732),x95733),x95735))+~P106(f326(f60(x95731),x95735))+~P106(f326(f326(f234(f928(x95731,a916)),x95734),x95735))
% 163.42/163.17 [9574]~P77(x95742)+~E(f326(x95743,f874(x95743,x95744,x95745,x95741,x95742)),f77(x95742))+E(f326(f326(f11(x95741,x95742),x95743),x95744),f326(f326(f11(x95741,x95742),x95743),x95745))+~P106(f326(f60(x95741),x95745))+~P106(f326(f326(f234(f928(x95741,a916)),x95744),x95745))
% 163.42/163.17 [10055]~P89(x100551)+~P106(f326(f60(x100552),x100555))+~P106(f326(f326(f234(x100551),f2(x100551)),f326(x100553,f901(x100553,x100554,x100555,x100552,x100551))))+P106(f326(f326(f234(x100551),f326(f326(f8(x100552,x100551),x100553),x100554)),f326(f326(f8(x100552,x100551),x100553),x100555)))+~P106(f326(f326(f234(f928(x100552,a916)),x100554),x100555))
% 163.42/163.17 [7698]E(x76981,f2(a920))+P106(f326(x76982,x76983))+~E(x76984,f326(f326(f79(a920),f326(f326(f80(a920),x76981),x76983)),x76985))+~P106(f326(f326(f235(a920),x76985),x76981))+~P106(f326(x76982,f326(f326(f35(a920),x76984),x76981)))
% 163.42/163.17 [7774]E(x77741,f2(a920))+P106(f326(x77742,x77743))+~P106(f326(x77742,f44(a920,x77744,x77741)))+~E(x77744,f326(f326(f79(a920),f326(f326(f80(a920),x77741),x77745)),x77743))+~P106(f326(f326(f235(a920),x77743),x77741))
% 163.42/163.17 [8065]~P66(x80653)+E(f326(x80651,x80652),f2(x80653))+~P106(f326(f60(x80654),x80655))+E(f326(f326(f11(x80654,x80653),x80651),f326(f326(f3(f928(x80654,a916)),x80655),f326(f326(f308(x80654),x80652),f189(f928(x80654,a916))))),f326(f326(f11(x80654,x80653),x80651),x80655))+P106(f326(f326(f328(x80654),x80652),x80655))
% 163.42/163.17 [8461]~P72(x84611)+~P106(f326(f60(x84612),x84615))+~P106(f326(f60(x84612),x84614))+~E(f326(f326(f101(f928(x84612,a916)),x84614),x84615),f189(f928(x84612,a916)))+E(f326(f326(f79(x84611),f326(f326(f8(x84612,x84611),x84613),x84614)),f326(f326(f8(x84612,x84611),x84613),x84615)),f326(f326(f8(x84612,x84611),x84613),f326(f326(f110(f928(x84612,a916)),x84614),x84615)))
% 163.42/163.17 [8463]~P77(x84631)+~P106(f326(f60(x84632),x84635))+~P106(f326(f60(x84632),x84634))+~E(f326(f326(f101(f928(x84632,a916)),x84634),x84635),f189(f928(x84632,a916)))+E(f326(f326(f80(x84631),f326(f326(f11(x84632,x84631),x84633),x84634)),f326(f326(f11(x84632,x84631),x84633),x84635)),f326(f326(f11(x84632,x84631),x84633),f326(f326(f110(f928(x84632,a916)),x84634),x84635)))
% 163.42/163.17 [8561]~P66(x85613)+E(f326(x85611,x85612),f2(x85613))+~P106(f326(f60(x85614),x85615))+E(f326(f326(f11(x85614,x85613),x85611),f326(f326(f3(f928(x85614,a916)),x85615),f326(f326(f308(x85614),x85612),f189(f928(x85614,a916))))),f326(f326(f290(x85613),f326(f326(f11(x85614,x85613),x85611),x85615)),f326(x85611,x85612)))+~P106(f326(f326(f328(x85614),x85612),x85615))
% 163.42/163.17 [9282]~P9(x92821,x92825,x92824)+~E(f326(f326(f59(x92821),f326(f326(f308(x92821),x92822),f189(f928(x92821,a916)))),x92824),f326(f326(f59(x92821),f326(f326(f308(x92821),x92823),f189(f928(x92821,a916)))),x92824))+~P106(f326(f326(f328(x92821),x92823),x92825))+~P106(f326(f326(f328(x92821),x92822),x92825))+P106(f326(f326(f328(f927(x92821,x92821)),f326(f326(f251(x92821,x92821),x92822),x92823)),x92824))
% 163.42/163.17 [9304]~P9(x93041,x93045,x93043)+E(f326(f326(f59(x93041),f326(f326(f308(x93041),x93042),f189(f928(x93041,a916)))),x93043),f326(f326(f59(x93041),f326(f326(f308(x93041),x93044),f189(f928(x93041,a916)))),x93043))+~P106(f326(f326(f328(x93041),x93044),x93045))+~P106(f326(f326(f328(x93041),x93042),x93045))+~P106(f326(f326(f328(f927(x93041,x93041)),f326(f326(f251(x93041,x93041),x93042),x93044)),x93043))
% 163.42/163.17 [9600]~P77(x96001)+~P106(f326(f60(x96002),x96005))+~P106(f326(f60(x96002),x96004))+~E(f326(f326(f101(f928(x96002,a916)),x96004),x96005),f189(f928(x96002,a916)))+E(f326(f326(f80(x96001),f326(f326(f326(f64(x96001,x96002,f80(x96001)),x96003),f77(x96001)),x96004)),f326(f326(f326(f64(x96001,x96002,f80(x96001)),x96003),f77(x96001)),x96005)),f326(f326(f326(f64(x96001,x96002,f80(x96001)),x96003),f77(x96001)),f326(f326(f110(f928(x96002,a916)),x96004),x96005)))
% 163.42/163.17 [9611]~P72(x96111)+~E(f326(x96113,f902(x96113,x96115,x96114,x96112,x96111)),f2(x96111))+~P106(f326(f60(x96112),x96114))+~P106(f326(f60(x96112),x96115))+E(f326(f326(f79(x96111),f326(f326(f8(x96112,x96111),x96113),x96114)),f326(f326(f8(x96112,x96111),x96113),x96115)),f326(f326(f8(x96112,x96111),x96113),f326(f326(f110(f928(x96112,a916)),x96114),x96115)))
% 163.42/163.17 [9612]~P72(x96121)+~E(f326(x96123,f903(x96123,x96125,x96124,x96122,x96121)),f2(x96121))+~P106(f326(f60(x96122),x96124))+~P106(f326(f60(x96122),x96125))+E(f326(f326(f79(x96121),f326(f326(f8(x96122,x96121),x96123),x96124)),f326(f326(f8(x96122,x96121),x96123),x96125)),f326(f326(f8(x96122,x96121),x96123),f326(f326(f110(f928(x96122,a916)),x96124),x96125)))
% 163.42/163.17 [9613]~P77(x96131)+~E(f326(x96133,f866(x96133,x96135,x96134,x96132,x96131)),f77(x96131))+~P106(f326(f60(x96132),x96134))+~P106(f326(f60(x96132),x96135))+E(f326(f326(f80(x96131),f326(f326(f11(x96132,x96131),x96133),x96134)),f326(f326(f11(x96132,x96131),x96133),x96135)),f326(f326(f11(x96132,x96131),x96133),f326(f326(f110(f928(x96132,a916)),x96134),x96135)))
% 163.42/163.17 [9614]~P77(x96141)+~E(f326(x96143,f873(x96143,x96145,x96144,x96142,x96141)),f77(x96141))+~P106(f326(f60(x96142),x96144))+~P106(f326(f60(x96142),x96145))+E(f326(f326(f80(x96141),f326(f326(f11(x96142,x96141),x96143),x96144)),f326(f326(f11(x96142,x96141),x96143),x96145)),f326(f326(f11(x96142,x96141),x96143),f326(f326(f110(f928(x96142,a916)),x96144),x96145)))
% 163.42/163.17 [9832]~P77(x98321)+~E(f326(x98323,f878(x98323,x98325,x98324,x98322,x98321)),f77(x98321))+~P106(f326(f60(x98322),x98324))+~P106(f326(f60(x98322),x98325))+E(f326(f326(f80(x98321),f326(f326(f326(f64(x98321,x98322,f80(x98321)),x98323),f77(x98321)),x98324)),f326(f326(f326(f64(x98321,x98322,f80(x98321)),x98323),f77(x98321)),x98325)),f326(f326(f326(f64(x98321,x98322,f80(x98321)),x98323),f77(x98321)),f326(f326(f110(f928(x98322,a916)),x98324),x98325)))
% 163.42/163.17 [9942]~P72(x99422)+E(f326(f326(f8(x99421,x99422),x99423),x99424),f326(f326(f8(x99421,x99422),x99423),x99425))+~P106(f326(f60(x99421),x99425))+~P106(f326(f326(f234(f928(x99421,a916)),x99424),x99425))+P106(f326(f326(f328(x99421),f909(x99423,x99424,x99425,x99421,x99422)),f326(f326(f3(f928(x99421,a916)),x99425),x99424)))
% 163.42/163.17 [9943]~P72(x99432)+E(f326(f326(f8(x99431,x99432),x99433),x99434),f326(f326(f8(x99431,x99432),x99433),x99435))+~P106(f326(f60(x99431),x99435))+~P106(f326(f326(f234(f928(x99431,a916)),x99434),x99435))+P106(f326(f326(f328(x99431),f911(x99433,x99434,x99435,x99431,x99432)),f326(f326(f3(f928(x99431,a916)),x99435),x99434)))
% 163.42/163.17 [9944]~P77(x99442)+E(f326(f326(f11(x99441,x99442),x99443),x99444),f326(f326(f11(x99441,x99442),x99443),x99445))+~P106(f326(f60(x99441),x99445))+~P106(f326(f326(f234(f928(x99441,a916)),x99444),x99445))+P106(f326(f326(f328(x99441),f872(x99443,x99444,x99445,x99441,x99442)),f326(f326(f3(f928(x99441,a916)),x99445),x99444)))
% 163.42/163.17 [9945]~P77(x99452)+E(f326(f326(f11(x99451,x99452),x99453),x99454),f326(f326(f11(x99451,x99452),x99453),x99455))+~P106(f326(f60(x99451),x99455))+~P106(f326(f326(f234(f928(x99451,a916)),x99454),x99455))+P106(f326(f326(f328(x99451),f874(x99453,x99454,x99455,x99451,x99452)),f326(f326(f3(f928(x99451,a916)),x99455),x99454)))
% 163.42/163.17 [9963]~P72(x99631)+~P106(f326(f60(x99632),x99634))+~P106(f326(f60(x99632),x99635))+E(f326(f326(f79(x99631),f326(f326(f8(x99632,x99631),x99633),x99634)),f326(f326(f8(x99632,x99631),x99633),x99635)),f326(f326(f8(x99632,x99631),x99633),f326(f326(f110(f928(x99632,a916)),x99634),x99635)))+P106(f326(f326(f328(x99632),f902(x99633,x99635,x99634,x99632,x99631)),f326(f326(f101(f928(x99632,a916)),x99634),x99635)))
% 163.42/163.17 [9964]~P72(x99641)+~P106(f326(f60(x99642),x99644))+~P106(f326(f60(x99642),x99645))+E(f326(f326(f79(x99641),f326(f326(f8(x99642,x99641),x99643),x99644)),f326(f326(f8(x99642,x99641),x99643),x99645)),f326(f326(f8(x99642,x99641),x99643),f326(f326(f110(f928(x99642,a916)),x99644),x99645)))+P106(f326(f326(f328(x99642),f903(x99643,x99645,x99644,x99642,x99641)),f326(f326(f101(f928(x99642,a916)),x99644),x99645)))
% 163.42/163.17 [9965]~P77(x99651)+~P106(f326(f60(x99652),x99654))+~P106(f326(f60(x99652),x99655))+E(f326(f326(f80(x99651),f326(f326(f11(x99652,x99651),x99653),x99654)),f326(f326(f11(x99652,x99651),x99653),x99655)),f326(f326(f11(x99652,x99651),x99653),f326(f326(f110(f928(x99652,a916)),x99654),x99655)))+P106(f326(f326(f328(x99652),f866(x99653,x99655,x99654,x99652,x99651)),f326(f326(f101(f928(x99652,a916)),x99654),x99655)))
% 163.42/163.17 [9966]~P77(x99661)+~P106(f326(f60(x99662),x99664))+~P106(f326(f60(x99662),x99665))+E(f326(f326(f80(x99661),f326(f326(f11(x99662,x99661),x99663),x99664)),f326(f326(f11(x99662,x99661),x99663),x99665)),f326(f326(f11(x99662,x99661),x99663),f326(f326(f110(f928(x99662,a916)),x99664),x99665)))+P106(f326(f326(f328(x99662),f873(x99663,x99665,x99664,x99662,x99661)),f326(f326(f101(f928(x99662,a916)),x99664),x99665)))
% 163.42/163.17 [9972]~P89(x99725)+~P106(f326(f60(x99721),x99724))+P106(f326(f326(f234(x99725),f326(f326(f8(x99721,x99725),x99722),x99723)),f326(f326(f8(x99721,x99725),x99722),x99724)))+~P106(f326(f326(f234(f928(x99721,a916)),x99723),x99724))+P106(f326(f326(f328(x99721),f901(x99722,x99723,x99724,x99721,x99725)),f326(f326(f3(f928(x99721,a916)),x99724),x99723)))
% 163.42/163.17 [10016]~P77(x100161)+~P106(f326(f60(x100162),x100164))+~P106(f326(f60(x100162),x100165))+E(f326(f326(f80(x100161),f326(f326(f326(f64(x100161,x100162,f80(x100161)),x100163),f77(x100161)),x100164)),f326(f326(f326(f64(x100161,x100162,f80(x100161)),x100163),f77(x100161)),x100165)),f326(f326(f326(f64(x100161,x100162,f80(x100161)),x100163),f77(x100161)),f326(f326(f110(f928(x100162,a916)),x100164),x100165)))+P106(f326(f326(f328(x100162),f878(x100163,x100165,x100164,x100162,x100161)),f326(f326(f101(f928(x100162,a916)),x100164),x100165)))
% 163.42/163.17 [8972]~P19(x89721,x89724,x89725)+~P106(f326(f60(x89721),x89722))+E(f326(f326(f3(f928(x89721,a916)),x89722),f326(f326(f308(x89721),x89723),f189(f928(x89721,a916)))),f189(f928(x89721,a916)))+~P106(f326(f326(f328(x89721),x89723),x89722))+E(f326(f326(x89724,x89723),f326(x89725,f326(f326(f3(f928(x89721,a916)),x89722),f326(f326(f308(x89721),x89723),f189(f928(x89721,a916)))))),f326(x89725,x89722))
% 163.42/163.17 [9050]~P19(x90501,x90504,x90505)+~P106(f326(f60(x90501),x90503))+~P106(f326(f60(x90501),x90502))+E(f326(f326(f101(f928(x90501,a916)),x90502),x90503),f189(f928(x90501,a916)))+E(f326(f326(x90504,f326(x90505,f326(f326(f110(f928(x90501,a916)),x90502),x90503))),f326(x90505,f326(f326(f101(f928(x90501,a916)),x90502),x90503))),f326(f326(x90504,f326(x90505,x90502)),f326(x90505,x90503)))
% 163.42/163.17 [9616]~P106(f326(f326(f234(a1),x96164),f2(a1)))+~P106(f326(f326(f235(a1),x96163),x96165))+P106(f326(f326(f234(a1),x96161),x96162))+~P106(f326(f326(f235(a1),x96163),x96164))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),f326(f326(f80(a1),x96163),x96162)),x96165)),f326(f326(f79(a1),f326(f326(f80(a1),x96163),x96161)),x96164)))
% 163.42/163.17 [9618]~P106(f326(f326(f234(a1),f2(a1)),x96185))+P106(f326(f326(f234(a1),x96181),x96182))+~P106(f326(f326(f235(a1),x96183),x96184))+~P106(f326(f326(f235(a1),x96185),x96184))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),f326(f326(f80(a1),x96184),x96181)),x96185)),f326(f326(f79(a1),f326(f326(f80(a1),x96184),x96182)),x96183)))
% 163.42/163.17 [9741]~P66(x97415)+E(f326(x97411,f910(x97411,x97412,x97413,x97414,x97415)),f2(x97415))+~P106(f326(f60(x97414),x97413))+~P106(f326(f60(x97414),x97412))+E(f326(f326(f290(x97415),f326(f326(f80(x97415),f326(f326(f11(x97414,x97415),x97411),x97413)),f326(f326(f11(x97414,x97415),x97411),x97412))),f326(f326(f11(x97414,x97415),x97411),f326(f326(f101(f928(x97414,a916)),x97413),x97412))),f326(f326(f11(x97414,x97415),x97411),f326(f326(f110(f928(x97414,a916)),x97413),x97412)))
% 163.42/163.17 [10008]~P66(x100081)+~P106(f326(f60(x100082),x100084))+~P106(f326(f60(x100082),x100085))+E(f326(f326(f290(x100081),f326(f326(f80(x100081),f326(f326(f11(x100082,x100081),x100083),x100084)),f326(f326(f11(x100082,x100081),x100083),x100085))),f326(f326(f11(x100082,x100081),x100083),f326(f326(f101(f928(x100082,a916)),x100084),x100085))),f326(f326(f11(x100082,x100081),x100083),f326(f326(f110(f928(x100082,a916)),x100084),x100085)))+P106(f326(f326(f328(x100082),f910(x100083,x100085,x100084,x100082,x100081)),f326(f326(f101(f928(x100082,a916)),x100084),x100085)))
% 163.42/163.17 [9323]E(f326(f326(f134(x93231),x93232),x93233),f326(f326(f134(x93231),x93234),x93235))+~E(f326(f326(f175(x93231),f326(f190(f921(x93231)),x93234)),x93232),x93234)+~E(f326(f326(f175(x93231),f326(f190(f921(x93231)),x93232)),x93234),x93232)+~E(x93235,f326(f326(f134(x93231),f326(f326(f138(x93231),f326(f190(f921(x93231)),x93234)),x93232)),x93233))+~E(f326(f326(f134(x93231),f326(f326(f138(x93231),f326(f190(f921(x93231)),x93232)),x93234)),x93235),x93233)
% 163.42/163.17 [9739]~P109(x97392)+E(f326(f326(f148(x97391,x97392,x97393),x97394),f170(x97391,x97394,x97395)),x97395)+~P14(x97392,f326(f326(f154(x97391,x97392),x97393),x97395))+~P106(f326(f326(f328(x97391),x97394),f326(f172(x97391),x97395)))+~E(f326(f141(x97391),f326(f136(x97391,f326(f326(f10(x97392,a916,x97391),f326(a323,f326(x97393,x97394))),x97393)),x97395)),x97394)
% 163.42/163.17 [10073]~P70(x100731)+~P106(f326(f65(x100731,x100731,f80(x100731),x100732,x100733),x100735))+~P106(f326(f326(f328(x100731),x100734),x100733))+P106(f326(f326(f328(x100731),x100732),x100733))+P106(f326(f65(x100731,x100731,f80(x100731),x100734,f326(f326(f308(x100731),x100732),f326(f326(f3(f928(x100731,a916)),x100733),f326(f326(f308(x100731),x100734),f189(f928(x100731,a916)))))),x100735))
% 163.42/163.17 [7472]E(x74721,x74722)+~P26(x74724,x74725,x74723,x74726)+~E(f326(x74723,x74721),f326(x74723,x74722))+~P106(f326(f326(f328(x74724),x74722),x74726))+~P106(f326(f326(f328(x74724),x74721),x74726))
% 163.42/163.17 [6724]~P140(x67244)+E(x67241,x67242)+~E(x67245,x67246)+E(x67243,f2(x67244))+~E(f326(f326(f79(x67244),x67245),f326(f326(f80(x67244),x67243),x67241)),f326(f326(f79(x67244),x67246),f326(f326(f80(x67244),x67243),x67242)))
% 163.42/163.17 [7754]~P109(x77541)+~P6(x77541)+~P106(f326(f326(f235(x77541),x77542),f326(x77545,x77546)))+~P106(f326(f326(f328(x77543),x77546),x77544))+P106(f326(f326(f235(x77541),x77542),f326(f326(f39(x77543,x77541),x77544),x77545)))
% 163.42/163.17 [10069]~P26(x100692,x100691,x100693,x100694)+~P26(x100691,x100692,x100696,x100695)+P27(x100691,x100692,f826(x100693,x100694,x100695,x100696,x100692,x100691),x100695,x100694)+~P106(f326(f326(f234(f928(x100692,a916)),f326(f309(x100691,x100692,x100696),x100695)),x100694))+~P106(f326(f326(f234(f928(x100691,a916)),f326(f309(x100692,x100691,x100693),x100694)),x100695))
% 163.42/163.17 [8432]~P109(x84321)+~P6(x84321)+~P106(f326(f326(f235(x84321),f326(x84324,x84326)),x84325))+~P106(f326(f326(f328(x84322),x84326),x84323))+P106(f326(f326(f235(x84321),f326(f326(f38(x84322,x84321),x84323),x84324)),x84325))
% 163.42/163.17 [8683]~P20(x86832,x86835,x86836,x86831)+~P106(f326(f60(x86832),x86834))+~P106(f326(f60(x86832),x86833))+~E(f326(f326(f101(f928(x86832,a916)),x86833),x86834),f189(f928(x86832,a916)))+E(f326(x86831,f326(f326(f110(f928(x86832,a916)),x86833),x86834)),f326(f72(x86835,x86835,x86835,f326(x86831,x86833)),f326(x86831,x86834)))
% 163.42/163.17 [10283]~P77(x102831)+~E(f815(x102834,x102835,x102833,x102836,x102832,x102831),f816(x102834,x102835,x102833,x102836,x102832,x102831))+~P106(f326(f60(x102832),x102836))+E(f326(f326(f326(f64(x102831,x102832,f80(x102831)),f326(f326(f10(f928(x102833,a916),x102831,x102832),f326(f326(f64(x102831,x102833,f80(x102831)),x102834),f77(x102831))),x102835)),f77(x102831)),x102836),f326(f326(f326(f64(x102831,x102833,f80(x102831)),x102834),f77(x102831)),f326(f326(f39(x102832,f928(x102833,a916)),x102836),x102835)))+P106(f326(f326(f328(x102832),f814(x102834,x102835,x102833,x102836,x102832,x102831)),x102836))
% 163.42/163.17 [10313]~P77(x103131)+~E(f815(x103134,x103135,x103133,x103136,x103132,x103131),f816(x103134,x103135,x103133,x103136,x103132,x103131))+~P106(f326(f60(x103132),x103136))+E(f326(f326(f326(f64(x103131,x103132,f80(x103131)),f326(f326(f10(f928(x103133,a916),x103131,x103132),f326(f326(f64(x103131,x103133,f80(x103131)),x103134),f77(x103131))),x103135)),f77(x103131)),x103136),f326(f326(f326(f64(x103131,x103133,f80(x103131)),x103134),f77(x103131)),f326(f326(f39(x103132,f928(x103133,a916)),x103136),x103135)))+~P106(f326(f60(x103133),f326(x103135,f814(x103134,x103135,x103133,x103136,x103132,x103131))))
% 163.42/163.17 [10316]~P77(x103161)+~P106(f326(f60(x103162),x103166))+E(f326(f326(f326(f64(x103161,x103162,f80(x103161)),f326(f326(f10(f928(x103163,a916),x103161,x103162),f326(f326(f64(x103161,x103163,f80(x103161)),x103164),f77(x103161))),x103165)),f77(x103161)),x103166),f326(f326(f326(f64(x103161,x103163,f80(x103161)),x103164),f77(x103161)),f326(f326(f39(x103162,f928(x103163,a916)),x103166),x103165)))+P106(f326(f326(f328(x103162),f814(x103164,x103165,x103163,x103166,x103162,x103161)),x103166))+P106(f326(f326(f328(x103162),f816(x103164,x103165,x103163,x103166,x103162,x103161)),x103166))
% 163.42/163.17 [10317]~P77(x103171)+~P106(f326(f60(x103172),x103176))+E(f326(f326(f326(f64(x103171,x103172,f80(x103171)),f326(f326(f10(f928(x103173,a916),x103171,x103172),f326(f326(f64(x103171,x103173,f80(x103171)),x103174),f77(x103171))),x103175)),f77(x103171)),x103176),f326(f326(f326(f64(x103171,x103173,f80(x103171)),x103174),f77(x103171)),f326(f326(f39(x103172,f928(x103173,a916)),x103176),x103175)))+P106(f326(f326(f328(x103172),f814(x103174,x103175,x103173,x103176,x103172,x103171)),x103176))+P106(f326(f326(f328(x103172),f815(x103174,x103175,x103173,x103176,x103172,x103171)),x103176))
% 163.42/163.17 [10337]~P77(x103371)+~P106(f326(f60(x103372),x103376))+E(f326(f326(f326(f64(x103371,x103372,f80(x103371)),f326(f326(f10(f928(x103373,a916),x103371,x103372),f326(f326(f64(x103371,x103373,f80(x103371)),x103374),f77(x103371))),x103375)),f77(x103371)),x103376),f326(f326(f326(f64(x103371,x103373,f80(x103371)),x103374),f77(x103371)),f326(f326(f39(x103372,f928(x103373,a916)),x103376),x103375)))+P106(f326(f326(f328(x103372),f816(x103374,x103375,x103373,x103376,x103372,x103371)),x103376))+~P106(f326(f60(x103373),f326(x103375,f814(x103374,x103375,x103373,x103376,x103372,x103371))))
% 163.42/163.17 [10338]~P77(x103381)+~P106(f326(f60(x103382),x103386))+E(f326(f326(f326(f64(x103381,x103382,f80(x103381)),f326(f326(f10(f928(x103383,a916),x103381,x103382),f326(f326(f64(x103381,x103383,f80(x103381)),x103384),f77(x103381))),x103385)),f77(x103381)),x103386),f326(f326(f326(f64(x103381,x103383,f80(x103381)),x103384),f77(x103381)),f326(f326(f39(x103382,f928(x103383,a916)),x103386),x103385)))+P106(f326(f326(f328(x103382),f815(x103384,x103385,x103383,x103386,x103382,x103381)),x103386))+~P106(f326(f60(x103383),f326(x103385,f814(x103384,x103385,x103383,x103386,x103382,x103381))))
% 163.42/163.17 [10349]~P77(x103491)+~E(f326(f326(f101(f928(x103493,a916)),f326(x103495,f816(x103494,x103495,x103493,x103496,x103492,x103491))),f326(x103495,f815(x103494,x103495,x103493,x103496,x103492,x103491))),f189(f928(x103493,a916)))+~P106(f326(f60(x103492),x103496))+E(f326(f326(f326(f64(x103491,x103492,f80(x103491)),f326(f326(f10(f928(x103493,a916),x103491,x103492),f326(f326(f64(x103491,x103493,f80(x103491)),x103494),f77(x103491))),x103495)),f77(x103491)),x103496),f326(f326(f326(f64(x103491,x103493,f80(x103491)),x103494),f77(x103491)),f326(f326(f39(x103492,f928(x103493,a916)),x103496),x103495)))+P106(f326(f326(f328(x103492),f814(x103494,x103495,x103493,x103496,x103492,x103491)),x103496))
% 163.42/163.17 [10360]~P77(x103601)+~E(f326(f326(f101(f928(x103603,a916)),f326(x103605,f816(x103604,x103605,x103603,x103606,x103602,x103601))),f326(x103605,f815(x103604,x103605,x103603,x103606,x103602,x103601))),f189(f928(x103603,a916)))+~P106(f326(f60(x103602),x103606))+E(f326(f326(f326(f64(x103601,x103602,f80(x103601)),f326(f326(f10(f928(x103603,a916),x103601,x103602),f326(f326(f64(x103601,x103603,f80(x103601)),x103604),f77(x103601))),x103605)),f77(x103601)),x103606),f326(f326(f326(f64(x103601,x103603,f80(x103601)),x103604),f77(x103601)),f326(f326(f39(x103602,f928(x103603,a916)),x103606),x103605)))+~P106(f326(f60(x103603),f326(x103605,f814(x103604,x103605,x103603,x103606,x103602,x103601))))
% 163.42/163.17 [9412]~P123(x94121)+~P119(x94121)+~P106(f326(f326(f286(x94121),x94122),x94125))+~P106(f326(f326(f286(x94121),x94122),f326(f326(f79(x94121),x94123),x94126)))+P106(f326(f326(f286(x94121),x94122),f326(f326(f79(x94121),f326(f326(f3(x94121),x94123),f326(f326(f80(x94121),x94124),x94125))),x94126)))
% 163.42/163.17 [9605]~P123(x96051)+~P119(x96051)+~P106(f326(f326(f286(x96051),x96052),x96055))+P106(f326(f326(f286(x96051),x96052),f326(f326(f79(x96051),x96053),x96054)))+~P106(f326(f326(f286(x96051),x96052),f326(f326(f79(x96051),f326(f326(f3(x96051),x96053),f326(f326(f80(x96051),x96056),x96055))),x96054)))
% 163.42/163.17 [9020]E(x90201,x90202)+~P58(x90204,x90205,x90206,x90203,x90207)+~E(f326(x90203,x90201),f326(x90203,x90202))+~P106(f326(f326(f328(x90205),x90202),x90207))+~P106(f326(f326(f328(x90205),x90201),x90207))
% 163.42/163.17 [10327]~P106(f326(x103272,x103274))+~E(x103275,f326(f136(x103271,x103272),x103277))+E(f326(f136(x103271,x103272),x103273),f326(f326(f151(x103271),x103274),x103275))+~E(x103273,f326(f326(f134(x103271),x103276),f326(f326(f151(x103271),x103274),x103277)))+P106(f326(x103272,f749(x103275,x103274,x103273,x103272,x103271,x103276,x103277)))
% 163.42/163.17 [10328]~P106(f326(x103284,x103282))+~E(x103283,f326(f136(x103281,x103284),x103287))+E(f326(f326(f151(x103281),x103282),x103283),f326(f136(x103281,x103284),x103285))+~E(x103285,f326(f326(f134(x103281),x103286),f326(f326(f151(x103281),x103282),x103287)))+P106(f326(x103284,f748(x103285,x103284,x103283,x103282,x103281,x103286,x103287)))
% 163.42/163.17 [10372]~P106(f326(x103722,x103724))+~E(x103725,f326(f136(x103721,x103722),x103727))+E(f326(f136(x103721,x103722),x103723),f326(f326(f151(x103721),x103724),x103725))+~E(x103723,f326(f326(f134(x103721),x103726),f326(f326(f151(x103721),x103724),x103727)))+P106(f326(f326(f328(x103721),f749(x103725,x103724,x103723,x103722,x103721,x103726,x103727)),f326(f172(x103721),x103726)))
% 163.42/163.17 [10373]~P106(f326(x103734,x103732))+~E(x103733,f326(f136(x103731,x103734),x103737))+E(f326(f326(f151(x103731),x103732),x103733),f326(f136(x103731,x103734),x103735))+~E(x103735,f326(f326(f134(x103731),x103736),f326(f326(f151(x103731),x103732),x103737)))+P106(f326(f326(f328(x103731),f748(x103735,x103734,x103733,x103732,x103731,x103736,x103737)),f326(f172(x103731),x103736)))
% 163.42/163.17 [10377]~P9(x103771,x103777,x103776)+~P12(x103771,f928(x103775,a916),x103776,x103774)+P106(f326(f326(f328(x103771),f488(x103772,x103773,x103774,x103775,x103776,x103777,x103771)),x103777))+~P106(f326(f326(f328(f928(x103771,a916)),x103773),f326(f326(f59(x103771),x103777),x103776)))+P106(f326(f326(f328(f928(x103775,a916)),f326(f326(f39(x103771,f928(x103775,a916)),x103773),x103774)),x103772))
% 163.42/163.17 [10436]~P9(x104362,x104366,x104367)+~P12(x104362,f928(x104361,a916),x104367,x104364)+~P106(f326(f326(f328(f928(x104362,a916)),x104363),f326(f326(f59(x104362),x104366),x104367)))+~P106(f326(f326(f328(f928(x104361,a916)),f326(x104364,f488(x104365,x104363,x104364,x104361,x104367,x104366,x104362))),x104365))+P106(f326(f326(f328(f928(x104361,a916)),f326(f326(f39(x104362,f928(x104361,a916)),x104363),x104364)),x104365))
% 163.42/163.17 [8603]~P77(x86032)+~P26(x86031,x86035,x86038,x86034)+~E(x86033,f326(f72(x86035,x86032,x86031,x86036),x86038))+~E(x86037,f326(f309(x86031,x86035,x86038),x86034))+E(f326(f326(f11(x86031,x86032),x86033),x86034),f326(f326(f11(x86035,x86032),x86036),x86037))
% 163.42/163.17 [10440]~P77(x104402)+~P26(x104405,x104401,x104408,x104407)+~E(f326(x104406,f595(x104403,x104406,x104404,x104407,x104408,x104401,x104405,x104402)),f326(f326(f72(x104401,x104402,x104405,x104403),x104408),f595(x104403,x104406,x104404,x104407,x104408,x104401,x104405,x104402)))+~E(x104404,f326(f309(x104405,x104401,x104408),x104407))+E(f326(f326(f11(x104401,x104402),x104403),x104404),f326(f326(f11(x104405,x104402),x104406),x104407))
% 163.42/163.17 [10443]~P72(x104432)+~P26(x104431,x104435,x104438,x104434)+~E(x104437,f326(f309(x104431,x104435,x104438),x104434))+E(f326(f326(f8(x104431,x104432),x104433),x104434),f326(f326(f8(x104435,x104432),x104436),x104437))+P106(f326(f326(f328(x104431),f609(x104436,x104433,x104437,x104434,x104438,x104435,x104431,x104432)),x104434))
% 163.42/163.17 [10444]~P77(x104442)+~P26(x104441,x104445,x104448,x104444)+~E(x104447,f326(f309(x104441,x104445,x104448),x104444))+E(f326(f326(f11(x104441,x104442),x104443),x104444),f326(f326(f11(x104445,x104442),x104446),x104447))+P106(f326(f326(f328(x104441),f595(x104446,x104443,x104447,x104444,x104448,x104445,x104441,x104442)),x104444))
% 163.42/163.17 [10449]~P72(x104492)+~P26(x104495,x104491,x104498,x104497)+~E(x104494,f326(f309(x104495,x104491,x104498),x104497))+~E(f326(x104496,f609(x104493,x104496,x104494,x104497,x104498,x104491,x104495,x104492)),f326(x104493,f326(x104498,f609(x104493,x104496,x104494,x104497,x104498,x104491,x104495,x104492))))+E(f326(f326(f8(x104491,x104492),x104493),x104494),f326(f326(f8(x104495,x104492),x104496),x104497))
% 163.42/163.17 [9905]~P24(x99056,x99052,x99055,x99057,x99058,x99051)+~P106(f326(f60(x99052),x99054))+~P106(f326(f60(x99052),x99053))+~E(f326(f326(f101(f928(x99052,a916)),x99053),x99054),f189(f928(x99052,a916)))+E(f326(x99051,f326(f326(f110(f928(x99052,a916)),x99053),x99054)),f326(f326(x99055,f326(x99051,x99053)),f326(x99051,x99054)))
% 163.42/163.17 [10310]~P24(x103108,x103102,x103105,x103107,x103106,x103101)+~E(f326(x103106,f636(x103104,x103103,x103101,x103106,x103107,x103105,x103102)),x103107)+~P106(f326(f60(x103102),x103103))+~P106(f326(f60(x103102),x103104))+E(f326(x103101,f326(f326(f110(f928(x103102,a916)),x103103),x103104)),f326(f326(x103105,f326(x103101,x103103)),f326(x103101,x103104)))
% 163.42/163.17 [10384]~P24(x103848,x103842,x103845,x103847,x103846,x103841)+~P106(f326(f60(x103842),x103843))+~P106(f326(f60(x103842),x103844))+E(f326(x103841,f326(f326(f110(f928(x103842,a916)),x103843),x103844)),f326(f326(x103845,f326(x103841,x103843)),f326(x103841,x103844)))+P106(f326(f326(f328(x103842),f636(x103844,x103843,x103841,x103846,x103847,x103845,x103842)),f326(f326(f101(f928(x103842,a916)),x103843),x103844)))
% 163.42/163.17 [10060]~P9(x100604,x100608,x100605)+~P9(x100601,x100609,x100603)+~P13(x100601,x100604,f928(x100602,a916),x100603,x100605,x100607)+P12(x100601,f928(x100602,a916),x100603,f326(f326(f10(f928(x100604,f928(x100602,a916)),f928(x100602,a916),x100601),f326(f39(x100604,f928(x100602,a916)),f326(f284(x100604,x100604,x100605),f326(f326(f308(x100604),x100606),f189(f928(x100604,a916)))))),x100607))+~P106(f326(f326(f328(x100604),x100606),x100608))
% 163.42/163.17 [5620]~P109(x56203)+~P14(x56203,x56201)+E(x56201,f726(x56202,x56203))+~E(f326(f172(x56203),x56201),x56202)+~P106(f326(f60(x56203),x56202))+~P106(f326(f137(x56203),x56201))
% 163.42/163.17 [7463]P16(x74631,x74632)+~E(f326(x74632,f806(x74632)),f326(x74632,f807(x74632)))+~P106(f326(f326(x74632,f806(x74632)),f806(x74632)))+~P106(f326(f326(x74632,f806(x74632)),f807(x74632)))+~P106(f326(f326(x74632,f807(x74632)),f807(x74632)))+~P106(f326(f326(x74632,x74633),x74633))
% 163.42/163.17 [5241]~P133(x52412)+~P134(x52412)+~P145(x52412)+~P116(x52412)+E(x52411,f2(x52412))+~E(f326(f326(f243(x52412),x52411),x52413),f2(x52412))
% 163.42/163.17 [5242]~P133(x52422)+~P134(x52422)+~P145(x52422)+~P116(x52422)+~E(x52421,f2(a920))+~E(f326(f326(f243(x52422),x52423),x52421),f2(x52422))
% 163.42/163.17 [6706]~P89(x67061)+~E(x67063,f2(x67061))+~E(x67062,f2(x67061))+E(f326(f326(f79(x67061),x67062),x67063),f2(x67061))+~P106(f326(f326(f234(x67061),f2(x67061)),x67063))+~P106(f326(f326(f234(x67061),f2(x67061)),x67062))
% 163.42/163.17 [9088]~E(f326(f250(a920,a920),x90883),f2(a920))+~E(x90881,f326(f326(f79(a920),f326(f326(f80(a920),f326(f250(a920,a920),x90883)),x90882)),f326(f255(a920,a920),x90883)))+P106(f326(f47(x90881,x90882),x90883))+~P106(f326(f326(f234(a920),f326(f255(a920,a920),x90883)),f2(a920)))+P106(f326(f326(f235(a920),f2(a920)),x90882))+~P106(f326(f326(f235(a920),x90882),f326(f255(a920,a920),x90883)))
% 163.42/163.17 [9096]E(x90961,f2(a920))+~E(x90962,f326(f326(f79(a920),f326(f326(f80(a920),f326(f250(a920,a920),x90963)),x90961)),f326(f255(a920,a920),x90963)))+P106(f326(f47(x90962,x90961),x90963))+~P106(f326(f326(f235(a920),f2(a920)),x90961))+~P106(f326(f326(f234(a920),f2(a920)),f326(f255(a920,a920),x90963)))+~P106(f326(f326(f235(a920),f326(f255(a920,a920),x90963)),x90961))
% 163.42/163.17 [9114]~E(f326(f250(a920,a920),x91143),f2(a920))+~E(x91141,f326(f326(f79(a920),f326(f326(f80(a920),f326(f250(a920,a920),x91143)),x91142)),f326(f255(a920,a920),x91143)))+P106(f326(f47(x91141,x91142),x91143))+~P106(f326(f326(f235(a920),f2(a920)),x91142))+~P106(f326(f326(f234(a920),f2(a920)),f326(f255(a920,a920),x91143)))+~P106(f326(f326(f235(a920),f326(f255(a920,a920),x91143)),x91142))
% 163.42/163.17 [7089]~P2(x70892)+E(x70891,f189(f928(x70892,a916)))+E(x70893,f189(f928(x70892,a916)))+~P106(f326(f60(x70892),x70891))+~P106(f326(f60(x70892),x70893))+E(f12(x70892,f326(f326(f110(f928(x70892,a916)),x70893),x70891)),f326(f326(f110(x70892),f12(x70892,x70893)),f12(x70892,x70891)))
% 163.42/163.17 [7090]~P2(x70902)+E(x70901,f189(f928(x70902,a916)))+E(x70903,f189(f928(x70902,a916)))+~P106(f326(f60(x70902),x70901))+~P106(f326(f60(x70902),x70903))+E(f13(x70902,f326(f326(f110(f928(x70902,a916)),x70903),x70901)),f326(f326(f101(x70902),f13(x70902,x70903)),f13(x70902,x70901)))
% 163.42/163.17 [7091]~P109(x70912)+E(x70911,f189(f928(x70912,a916)))+E(x70913,f189(f928(x70912,a916)))+~P106(f326(f60(x70912),x70911))+~P106(f326(f60(x70912),x70913))+E(f16(x70912,f326(f326(f110(f928(x70912,a916)),x70913),x70911)),f326(f326(f188(x70912),f16(x70912,x70913)),f16(x70912,x70911)))
% 163.42/163.17 [7092]~P109(x70922)+E(x70921,f189(f928(x70922,a916)))+E(x70923,f189(f928(x70922,a916)))+~P106(f326(f60(x70922),x70921))+~P106(f326(f60(x70922),x70923))+E(f17(x70922,f326(f326(f110(f928(x70922,a916)),x70923),x70921)),f326(f326(f233(x70922),f17(x70922,x70923)),f17(x70922,x70921)))
% 163.42/163.17 [7729]~P97(x77292)+E(x77291,f189(f928(x77292,a916)))+E(x77293,f189(f928(x77292,a916)))+~P106(f326(f60(x77292),x77291))+~P106(f326(f60(x77292),x77293))+E(f326(f326(f80(x77292),f326(f62(x77292,f80(x77292)),x77293)),f326(f62(x77292,f80(x77292)),x77291)),f326(f62(x77292,f80(x77292)),f326(f326(f110(f928(x77292,a916)),x77293),x77291)))
% 163.42/163.17 [7890]~P109(x78902)+E(x78901,f189(f928(x78902,a916)))+E(x78903,f189(f928(x78902,a916)))+~P106(f326(f60(x78902),x78901))+~P106(f326(f60(x78902),x78903))+E(f326(f326(f188(x78902),f14(x78902,f188(x78902),x78903)),f14(x78902,f188(x78902),x78901)),f14(x78902,f188(x78902),f326(f326(f110(f928(x78902,a916)),x78903),x78901)))
% 163.42/163.17 [7891]~P109(x78912)+E(x78911,f189(f928(x78912,a916)))+E(x78913,f189(f928(x78912,a916)))+~P106(f326(f60(x78912),x78911))+~P106(f326(f60(x78912),x78913))+E(f326(f326(f233(x78912),f15(x78912,f233(x78912),x78913)),f15(x78912,f233(x78912),x78911)),f15(x78912,f233(x78912),f326(f326(f110(f928(x78912,a916)),x78913),x78911)))
% 163.42/163.17 [8921]~P106(f326(x89211,x89213))+P106(f326(x89211,f474(x89211,x89212)))+P106(f326(x89211,f466(x89211,x89212)))+~P106(f326(f326(f235(a1),f2(a1)),x89212))+~P106(f326(f326(f328(a1),x89213),f302(a1,f77(a1),x89212)))+P106(f326(x89211,f326(f326(f3(a1),f466(x89211,x89212)),f326(f326(f80(a1),f473(x89211,x89212)),x89212))))
% 163.42/163.17 [9222]~P106(f326(x92221,x92223))+~P106(f326(x92221,f466(x92221,x92222)))+P106(f326(x92221,f474(x92221,x92222)))+~P106(f326(f326(f235(a1),f2(a1)),x92222))+~P106(f326(f326(f328(a1),x92223),f302(a1,f77(a1),x92222)))+~P106(f326(x92221,f326(f326(f3(a1),f466(x92221,x92222)),f326(f326(f80(a1),f473(x92221,x92222)),x92222))))
% 163.42/163.17 [10476]~P99(x104762)+E(x104761,f189(f928(x104762,a916)))+E(x104763,f189(f928(x104762,a916)))+~P106(f326(f60(x104762),x104761))+~P106(f326(f60(x104762),x104763))+E(f13(x104762,f326(f261(x104762),f326(f326(f10(f928(x104762,a916),a916,x104762),f86(x104762)),f326(f326(f10(f928(x104762,f928(x104762,a916)),f928(x104762,a916),x104762),f326(f10(f928(x104762,a916),a916,x104762),f86(x104762))),f326(f326(f9(x104762,f928(x104762,f928(x104762,a916)),f928(x104762,f928(x104762,a916))),f326(f326(f10(f928(x104762,f928(f928(x104762,a916),f928(x104762,a916))),f928(f928(x104762,f928(x104762,a916)),f928(x104762,f928(x104762,a916))),x104762),f20(x104762,f928(x104762,a916),f928(x104762,a916))),f326(f326(f10(f928(x104762,f928(x104762,f928(a916,a916))),f928(x104762,f928(f928(x104762,a916),f928(x104762,a916))),x104762),f326(f10(f928(x104762,f928(a916,a916)),f928(f928(x104762,a916),f928(x104762,a916)),x104762),f20(x104762,a916,a916))),f326(f326(f10(f928(x104762,f928(x104762,a916)),f928(x104762,f928(x104762,f928(a916,a916))),x104762),f326(f10(f928(x104762,a916),f928(x104762,f928(a916,a916)),x104762),f326(f10(a916,f928(a916,a916),x104762),a324))),f326(f326(f9(x104762,f928(x104762,f928(x104762,x104762)),f928(x104762,f928(x104762,a916))),f326(f326(f10(f928(f928(x104762,x104762),f928(x104762,a916)),f928(f928(x104762,f928(x104762,x104762)),f928(x104762,f928(x104762,a916))),x104762),f10(f928(x104762,x104762),f928(x104762,a916),x104762)),f326(f326(f10(f928(x104762,a916),f928(f928(x104762,x104762),f928(x104762,a916)),x104762),f10(x104762,a916,x104762)),a323))),f110(x104762)))))),f326(f326(f9(x104762,f928(x104762,a916),f928(x104762,a916)),f326(f326(f10(f928(a916,a916),f928(f928(x104762,a916),f928(x104762,a916)),x104762),f10(a916,a916,x104762)),f326(f326(f10(a916,f928(a916,a916),x104762),a324),f326(f326(f9(x104762,f928(x104762,a916),a916),f328(x104762)),x104763)))),f326(f326(f9(x104762,f928(x104762,a916),a916),f328(x104762)),x104761))))))),f326(f326(f110(x104762),f13(x104762,x104763)),f13(x104762,x104761)))
% 163.42/163.17 [10477]~P99(x104772)+E(x104771,f189(f928(x104772,a916)))+E(x104773,f189(f928(x104772,a916)))+~P106(f326(f60(x104772),x104771))+~P106(f326(f60(x104772),x104773))+E(f12(x104772,f326(f261(x104772),f326(f326(f10(f928(x104772,a916),a916,x104772),f86(x104772)),f326(f326(f10(f928(x104772,f928(x104772,a916)),f928(x104772,a916),x104772),f326(f10(f928(x104772,a916),a916,x104772),f86(x104772))),f326(f326(f9(x104772,f928(x104772,f928(x104772,a916)),f928(x104772,f928(x104772,a916))),f326(f326(f10(f928(x104772,f928(f928(x104772,a916),f928(x104772,a916))),f928(f928(x104772,f928(x104772,a916)),f928(x104772,f928(x104772,a916))),x104772),f20(x104772,f928(x104772,a916),f928(x104772,a916))),f326(f326(f10(f928(x104772,f928(x104772,f928(a916,a916))),f928(x104772,f928(f928(x104772,a916),f928(x104772,a916))),x104772),f326(f10(f928(x104772,f928(a916,a916)),f928(f928(x104772,a916),f928(x104772,a916)),x104772),f20(x104772,a916,a916))),f326(f326(f10(f928(x104772,f928(x104772,a916)),f928(x104772,f928(x104772,f928(a916,a916))),x104772),f326(f10(f928(x104772,a916),f928(x104772,f928(a916,a916)),x104772),f326(f10(a916,f928(a916,a916),x104772),a324))),f326(f326(f9(x104772,f928(x104772,f928(x104772,x104772)),f928(x104772,f928(x104772,a916))),f326(f326(f10(f928(f928(x104772,x104772),f928(x104772,a916)),f928(f928(x104772,f928(x104772,x104772)),f928(x104772,f928(x104772,a916))),x104772),f10(f928(x104772,x104772),f928(x104772,a916),x104772)),f326(f326(f10(f928(x104772,a916),f928(f928(x104772,x104772),f928(x104772,a916)),x104772),f10(x104772,a916,x104772)),a323))),f101(x104772)))))),f326(f326(f9(x104772,f928(x104772,a916),f928(x104772,a916)),f326(f326(f10(f928(a916,a916),f928(f928(x104772,a916),f928(x104772,a916)),x104772),f10(a916,a916,x104772)),f326(f326(f10(a916,f928(a916,a916),x104772),a324),f326(f326(f9(x104772,f928(x104772,a916),a916),f328(x104772)),x104773)))),f326(f326(f9(x104772,f928(x104772,a916),a916),f328(x104772)),x104771))))))),f326(f326(f101(x104772),f12(x104772,x104773)),f12(x104772,x104771)))
% 163.42/163.17 [10478]~P109(x104782)+E(x104781,f189(f928(x104782,a916)))+E(x104783,f189(f928(x104782,a916)))+~P106(f326(f60(x104782),x104781))+~P106(f326(f60(x104782),x104783))+E(f15(x104782,f233(x104782),f326(f261(x104782),f326(f326(f10(f928(x104782,a916),a916,x104782),f86(x104782)),f326(f326(f10(f928(x104782,f928(x104782,a916)),f928(x104782,a916),x104782),f326(f10(f928(x104782,a916),a916,x104782),f86(x104782))),f326(f326(f9(x104782,f928(x104782,f928(x104782,a916)),f928(x104782,f928(x104782,a916))),f326(f326(f10(f928(x104782,f928(f928(x104782,a916),f928(x104782,a916))),f928(f928(x104782,f928(x104782,a916)),f928(x104782,f928(x104782,a916))),x104782),f20(x104782,f928(x104782,a916),f928(x104782,a916))),f326(f326(f10(f928(x104782,f928(x104782,f928(a916,a916))),f928(x104782,f928(f928(x104782,a916),f928(x104782,a916))),x104782),f326(f10(f928(x104782,f928(a916,a916)),f928(f928(x104782,a916),f928(x104782,a916)),x104782),f20(x104782,a916,a916))),f326(f326(f10(f928(x104782,f928(x104782,a916)),f928(x104782,f928(x104782,f928(a916,a916))),x104782),f326(f10(f928(x104782,a916),f928(x104782,f928(a916,a916)),x104782),f326(f10(a916,f928(a916,a916),x104782),a324))),f326(f326(f9(x104782,f928(x104782,f928(x104782,x104782)),f928(x104782,f928(x104782,a916))),f326(f326(f10(f928(f928(x104782,x104782),f928(x104782,a916)),f928(f928(x104782,f928(x104782,x104782)),f928(x104782,f928(x104782,a916))),x104782),f10(f928(x104782,x104782),f928(x104782,a916),x104782)),f326(f326(f10(f928(x104782,a916),f928(f928(x104782,x104782),f928(x104782,a916)),x104782),f10(x104782,a916,x104782)),a323))),f188(x104782)))))),f326(f326(f9(x104782,f928(x104782,a916),f928(x104782,a916)),f326(f326(f10(f928(a916,a916),f928(f928(x104782,a916),f928(x104782,a916)),x104782),f10(a916,a916,x104782)),f326(f326(f10(a916,f928(a916,a916),x104782),a324),f326(f326(f9(x104782,f928(x104782,a916),a916),f328(x104782)),x104783)))),f326(f326(f9(x104782,f928(x104782,a916),a916),f328(x104782)),x104781))))))),f326(f326(f188(x104782),f15(x104782,f233(x104782),x104783)),f15(x104782,f233(x104782),x104781)))
% 163.42/163.17 [10479]~P109(x104792)+E(x104791,f189(f928(x104792,a916)))+E(x104793,f189(f928(x104792,a916)))+~P106(f326(f60(x104792),x104791))+~P106(f326(f60(x104792),x104793))+E(f14(x104792,f188(x104792),f326(f261(x104792),f326(f326(f10(f928(x104792,a916),a916,x104792),f86(x104792)),f326(f326(f10(f928(x104792,f928(x104792,a916)),f928(x104792,a916),x104792),f326(f10(f928(x104792,a916),a916,x104792),f86(x104792))),f326(f326(f9(x104792,f928(x104792,f928(x104792,a916)),f928(x104792,f928(x104792,a916))),f326(f326(f10(f928(x104792,f928(f928(x104792,a916),f928(x104792,a916))),f928(f928(x104792,f928(x104792,a916)),f928(x104792,f928(x104792,a916))),x104792),f20(x104792,f928(x104792,a916),f928(x104792,a916))),f326(f326(f10(f928(x104792,f928(x104792,f928(a916,a916))),f928(x104792,f928(f928(x104792,a916),f928(x104792,a916))),x104792),f326(f10(f928(x104792,f928(a916,a916)),f928(f928(x104792,a916),f928(x104792,a916)),x104792),f20(x104792,a916,a916))),f326(f326(f10(f928(x104792,f928(x104792,a916)),f928(x104792,f928(x104792,f928(a916,a916))),x104792),f326(f10(f928(x104792,a916),f928(x104792,f928(a916,a916)),x104792),f326(f10(a916,f928(a916,a916),x104792),a324))),f326(f326(f9(x104792,f928(x104792,f928(x104792,x104792)),f928(x104792,f928(x104792,a916))),f326(f326(f10(f928(f928(x104792,x104792),f928(x104792,a916)),f928(f928(x104792,f928(x104792,x104792)),f928(x104792,f928(x104792,a916))),x104792),f10(f928(x104792,x104792),f928(x104792,a916),x104792)),f326(f326(f10(f928(x104792,a916),f928(f928(x104792,x104792),f928(x104792,a916)),x104792),f10(x104792,a916,x104792)),a323))),f233(x104792)))))),f326(f326(f9(x104792,f928(x104792,a916),f928(x104792,a916)),f326(f326(f10(f928(a916,a916),f928(f928(x104792,a916),f928(x104792,a916)),x104792),f10(a916,a916,x104792)),f326(f326(f10(a916,f928(a916,a916),x104792),a324),f326(f326(f9(x104792,f928(x104792,a916),a916),f328(x104792)),x104793)))),f326(f326(f9(x104792,f928(x104792,a916),a916),f328(x104792)),x104791))))))),f326(f326(f233(x104792),f14(x104792,f188(x104792),x104793)),f14(x104792,f188(x104792),x104791)))
% 163.42/163.17 [7419]~P127(x74193)+E(x74191,x74192)+~E(f326(f326(f243(x74193),x74191),x74194),f326(f326(f243(x74193),x74192),x74194))+~P106(f326(f326(f234(x74193),f2(x74193)),x74192))+~P106(f326(f326(f234(x74193),f2(x74193)),x74191))+~P106(f326(f326(f235(a920),f2(a920)),x74194))
% 163.42/163.17 [7690]~P109(x76902)+E(x76901,f189(f928(x76902,a916)))+~P106(f326(f60(x76902),x76901))+~P106(f326(f326(f328(x76902),x76904),x76901))+P106(f326(f326(f234(x76902),x76903),x76904))+~P106(f326(f326(f234(x76902),x76903),f326(f62(x76902,f188(x76902)),x76901)))
% 163.42/163.17 [7691]~P102(x76912)+E(x76911,f189(f928(x76912,a916)))+~P106(f326(f60(x76912),x76911))+~P106(f326(f326(f328(x76912),x76914),x76911))+P106(f326(f326(f234(x76912),x76913),x76914))+~P106(f326(f326(f234(x76912),x76913),f326(f62(x76912,f101(x76912)),x76911)))
% 163.42/163.17 [7692]~P109(x76922)+E(x76921,f189(f928(x76922,a916)))+~P106(f326(f60(x76922),x76921))+~P106(f326(f326(f328(x76922),x76924),x76921))+P106(f326(f326(f235(x76922),x76923),x76924))+~P106(f326(f326(f235(x76922),x76923),f326(f62(x76922,f188(x76922)),x76921)))
% 163.42/163.17 [7596]E(x75961,f2(a1))+E(f326(f326(f35(a1),x75962),x75961),x75963)+~P106(f326(f326(f234(a1),x75964),f2(a1)))+~E(x75962,f326(f326(f79(a1),f326(f326(f80(a1),x75961),x75963)),x75964))+P106(f326(f326(f235(a1),f2(a1)),x75961))+~P106(f326(f326(f235(a1),x75961),x75964))
% 163.42/163.17 [7612]E(f44(a1,x76122,x76121),x76123)+E(x76121,f2(a1))+~P106(f326(f326(f234(a1),x76123),f2(a1)))+~E(x76122,f326(f326(f79(a1),f326(f326(f80(a1),x76121),x76124)),x76123))+P106(f326(f326(f235(a1),f2(a1)),x76121))+~P106(f326(f326(f235(a1),x76121),x76123))
% 163.42/163.17 [7728]E(x77281,f2(a1))+E(f326(f326(f35(a1),x77282),x77281),x77283)+~E(x77282,f326(f326(f79(a1),f326(f326(f80(a1),x77281),x77283)),x77284))+~P106(f326(f326(f234(a1),f2(a1)),x77284))+~P106(f326(f326(f235(a1),f2(a1)),x77281))+~P106(f326(f326(f235(a1),x77284),x77281))
% 163.42/163.17 [7750]E(f44(a1,x77502,x77501),x77503)+E(x77501,f2(a1))+~E(x77502,f326(f326(f79(a1),f326(f326(f80(a1),x77501),x77504)),x77503))+~P106(f326(f326(f234(a1),f2(a1)),x77503))+~P106(f326(f326(f235(a1),f2(a1)),x77501))+~P106(f326(f326(f235(a1),x77503),x77501))
% 163.42/163.17 [7894]~P109(x78942)+E(x78941,f189(f928(x78942,a916)))+~P106(f326(f60(x78942),x78941))+~P106(f326(f326(f328(x78942),x78944),x78941))+~P106(f326(f326(f234(x78942),x78944),x78943))+P106(f326(f326(f234(x78942),f326(f62(x78942,f188(x78942)),x78941)),x78943))
% 163.42/163.17 [7895]~P109(x78952)+E(x78951,f189(f928(x78952,a916)))+~P106(f326(f60(x78952),x78951))+~P106(f326(f326(f235(x78952),x78954),x78953))+~P106(f326(f326(f328(x78952),x78954),x78951))+P106(f326(f326(f235(x78952),f326(f62(x78952,f188(x78952)),x78951)),x78953))
% 163.42/163.17 [8456]~P106(f326(f326(f234(a1),x84564),f2(a1)))+~E(x84561,f326(f326(f79(a1),f326(f326(f80(a1),x84562),x84563)),x84564))+~P106(f326(f326(f234(a1),f2(a1)),x84564))+~P106(f326(f326(f235(a1),x84564),x84562))+~P106(f326(f326(f235(a1),x84562),x84564))+P106(f326(f48(x84561,x84562),f326(f326(f251(a1,a1),x84563),x84564)))
% 163.42/163.17 [8622]~P110(x86221)+P106(f326(f326(f235(f928(x86221,a916)),f302(x86221,x86222,x86223)),f302(x86221,x86224,x86225)))+~P106(f326(f326(f234(x86221),x86224),x86222))+~P106(f326(f326(f234(x86221),x86224),x86225))+~P106(f326(f326(f234(x86221),x86223),x86225))+~P106(f326(f326(f235(x86221),x86223),x86225))
% 163.42/163.17 [8623]~P110(x86231)+P106(f326(f326(f235(f928(x86231,a916)),f302(x86231,x86232,x86233)),f302(x86231,x86234,x86235)))+~P106(f326(f326(f234(x86231),x86233),x86235))+~P106(f326(f326(f234(x86231),x86234),x86235))+~P106(f326(f326(f234(x86231),x86234),x86232))+~P106(f326(f326(f235(x86231),x86234),x86232))
% 163.42/163.17 [9484]P60(x94842,x94843,x94844,x94841)+E(x94841,f189(f928(x94842,a916)))+~P106(f326(f60(x94842),x94844))+~P106(f326(f60(x94842),x94841))+~P106(f326(f326(x94843,f520(x94841,x94844,x94843,x94842)),x94845))+~P106(f326(f326(f328(x94842),x94845),x94841))
% 163.42/163.17 [9485]P60(x94852,x94853,x94854,x94851)+E(x94851,f189(f928(x94852,a916)))+~P106(f326(f60(x94852),x94854))+~P106(f326(f60(x94852),x94851))+~P106(f326(f326(x94853,f798(x94853,x94851,x94854,x94852)),x94855))+~P106(f326(f326(f328(x94852),x94855),x94851))
% 163.42/163.17 [9486]P60(x94862,x94863,x94864,x94861)+E(x94861,f189(f928(x94862,a916)))+~P106(f326(f60(x94862),x94864))+~P106(f326(f60(x94862),x94861))+~P106(f326(f326(x94863,f799(x94861,x94864,x94863,x94862)),x94865))+~P106(f326(f326(f328(x94862),x94865),x94861))
% 163.42/163.17 [9634]~E(x96343,x96345)+~P72(x96341)+~P77(x96341)+~P42(x96343)+E(f326(f326(f8(a1,x96341),x96342),x96343),f326(f326(f8(a1,x96341),x96344),x96345))+P106(f326(f326(f234(a1),f2(a1)),f527(x96342,x96344,x96343,x96345,x96341)))
% 163.42/163.17 [9635]~E(x96353,x96355)+~P72(x96351)+~P77(x96351)+~P42(x96353)+E(f326(f326(f11(a1,x96351),x96352),x96353),f326(f326(f11(a1,x96351),x96354),x96355))+P106(f326(f326(f234(a1),f2(a1)),f528(x96352,x96354,x96353,x96355,x96351)))
% 163.42/163.17 [9815]~E(x98155,x98153)+~P72(x98151)+~P77(x98151)+~P42(x98155)+~E(f326(x98152,f527(x98154,x98152,x98155,x98153,x98151)),f326(x98154,f527(x98154,x98152,x98155,x98153,x98151)))+E(f326(f326(f8(a1,x98151),x98152),x98153),f326(f326(f8(a1,x98151),x98154),x98155))
% 163.42/163.17 [9816]~E(x98165,x98163)+~P72(x98161)+~P77(x98161)+~P42(x98165)+~E(f326(x98162,f528(x98164,x98162,x98165,x98163,x98161)),f326(x98164,f528(x98164,x98162,x98165,x98163,x98161)))+E(f326(f326(f11(a1,x98161),x98162),x98163),f326(f326(f11(a1,x98161),x98164),x98165))
% 163.42/163.17 [9903]~P80(x99033)+E(f326(x99031,x99032),f2(x99033))+~E(f326(f326(f8(x99034,x99033),x99031),x99035),f2(x99033))+~P106(f326(f60(x99034),x99035))+P106(f326(f326(f328(x99034),f418(x99032,x99031,x99035,x99034,x99033)),x99035))+~P106(f326(f326(f328(x99034),x99032),x99035))
% 163.42/163.17 [10031]~P80(x100313)+E(f326(x100311,x100312),f2(x100313))+~E(f326(f326(f8(x100314,x100313),x100311),x100315),f2(x100313))+~P106(f326(f60(x100314),x100315))+~P106(f326(f326(f328(x100314),x100312),x100315))+~P106(f326(f326(f234(x100313),f2(x100313)),f326(x100311,f418(x100312,x100311,x100315,x100314,x100313))))
% 163.42/163.17 [8541]~P138(x85411)+~P106(f326(f326(f234(x85411),x85413),x85415))+~P106(f326(f326(f234(x85411),x85412),x85414))+~P106(f326(f326(f234(x85411),f2(x85411)),x85413))+~P106(f326(f326(f234(x85411),f2(x85411)),x85414))+P106(f326(f326(f234(x85411),f326(f326(f80(x85411),x85412),x85413)),f326(f326(f80(x85411),x85414),x85415)))
% 163.42/163.17 [8542]~P138(x85421)+~P106(f326(f326(f234(x85421),x85423),x85425))+~P106(f326(f326(f234(x85421),x85422),x85424))+~P106(f326(f326(f234(x85421),f2(x85421)),x85423))+~P106(f326(f326(f234(x85421),f2(x85421)),x85422))+P106(f326(f326(f234(x85421),f326(f326(f80(x85421),x85422),x85423)),f326(f326(f80(x85421),x85424),x85425)))
% 163.42/163.17 [8543]~P68(x85431)+~P106(f326(f326(f235(x85431),f2(x85431)),x85435))+~P106(f326(f326(f234(x85431),x85435),x85433))+~P106(f326(f326(f234(x85431),x85432),x85434))+~P106(f326(f326(f234(x85431),f2(x85431)),x85432))+P106(f326(f326(f234(x85431),f326(f326(f290(x85431),x85432),x85433)),f326(f326(f290(x85431),x85434),x85435)))
% 163.42/163.17 [8544]~P135(x85441)+~P106(f326(f326(f234(x85441),x85443),x85445))+~P106(f326(f326(f234(x85441),f2(x85441)),x85442))+~P106(f326(f326(f235(x85441),x85442),x85444))+~P106(f326(f326(f235(x85441),f2(x85441)),x85443))+P106(f326(f326(f235(x85441),f326(f326(f80(x85441),x85442),x85443)),f326(f326(f80(x85441),x85444),x85445)))
% 163.42/163.17 [8545]~P135(x85451)+~P106(f326(f326(f234(x85451),x85452),x85454))+~P106(f326(f326(f234(x85451),f2(x85451)),x85453))+~P106(f326(f326(f235(x85451),x85453),x85455))+~P106(f326(f326(f235(x85451),f2(x85451)),x85452))+P106(f326(f326(f235(x85451),f326(f326(f80(x85451),x85452),x85453)),f326(f326(f80(x85451),x85454),x85455)))
% 163.42/163.17 [8546]~P135(x85461)+~P106(f326(f326(f234(x85461),f2(x85461)),x85463))+~P106(f326(f326(f234(x85461),f2(x85461)),x85462))+~P106(f326(f326(f235(x85461),x85463),x85465))+~P106(f326(f326(f235(x85461),x85462),x85464))+P106(f326(f326(f235(x85461),f326(f326(f80(x85461),x85462),x85463)),f326(f326(f80(x85461),x85464),x85465)))
% 163.42/163.17 [8547]~P135(x85471)+~P106(f326(f326(f234(x85471),f2(x85471)),x85473))+~P106(f326(f326(f235(x85471),x85473),x85475))+~P106(f326(f326(f235(x85471),x85472),x85474))+~P106(f326(f326(f235(x85471),f2(x85471)),x85474))+P106(f326(f326(f235(x85471),f326(f326(f80(x85471),x85472),x85473)),f326(f326(f80(x85471),x85474),x85475)))
% 163.42/163.17 [8548]~P68(x85481)+~P106(f326(f326(f234(x85481),x85485),x85483))+~P106(f326(f326(f234(x85481),f2(x85481)),x85482))+~P106(f326(f326(f235(x85481),x85482),x85484))+~P106(f326(f326(f235(x85481),f2(x85481)),x85485))+P106(f326(f326(f235(x85481),f326(f326(f290(x85481),x85482),x85483)),f326(f326(f290(x85481),x85484),x85485)))
% 163.42/163.17 [8549]~P68(x85491)+~P106(f326(f326(f234(x85491),x85492),x85494))+~P106(f326(f326(f235(x85491),x85495),x85493))+~P106(f326(f326(f235(x85491),f2(x85491)),x85495))+~P106(f326(f326(f235(x85491),f2(x85491)),x85492))+P106(f326(f326(f235(x85491),f326(f326(f290(x85491),x85492),x85493)),f326(f326(f290(x85491),x85494),x85495)))
% 163.42/163.17 [9946]~P72(x99465)+~P84(x99465)+E(x99461,f189(f928(x99462,a916)))+~P106(f326(f60(x99462),x99461))+P106(f326(f326(f328(x99462),f623(x99463,x99464,x99461,x99462,x99465)),x99461))+P106(f326(f326(f235(x99465),f326(f326(f8(x99462,x99465),x99464),x99461)),f326(f326(f8(x99462,x99465),x99463),x99461)))
% 163.42/163.17 [10056]~P72(x100561)+~P86(x100561)+~P106(f326(f60(x100562),x100565))+~P106(f326(f326(f234(x100561),f2(x100561)),f326(x100563,f904(x100563,x100564,x100565,x100562,x100561))))+P106(f326(f326(f234(x100561),f326(f326(f8(x100562,x100561),x100563),x100564)),f326(f326(f8(x100562,x100561),x100563),x100565)))+~P106(f326(f326(f234(f928(x100562,a916)),x100564),x100565))
% 163.42/163.17 [10227]~P72(x102273)+~P84(x102273)+E(x102271,f189(f928(x102272,a916)))+~P106(f326(f60(x102272),x102271))+~P106(f326(f326(f235(x102273),f326(x102274,f623(x102275,x102274,x102271,x102272,x102273))),f326(x102275,f623(x102275,x102274,x102271,x102272,x102273))))+P106(f326(f326(f235(x102273),f326(f326(f8(x102272,x102273),x102274),x102271)),f326(f326(f8(x102272,x102273),x102275),x102271)))
% 163.42/163.17 [7273]~P18(x72732,x72735,x72734)+E(x72731,f189(f928(x72732,a916)))+E(x72733,f189(f928(x72732,a916)))+~P106(f326(f60(x72732),x72731))+~P106(f326(f60(x72732),x72733))+E(f326(x72734,f326(f326(f110(f928(x72732,a916)),x72733),x72731)),f326(f326(x72735,f326(x72734,x72733)),f326(x72734,x72731)))
% 163.42/163.17 [7860]~P149(x78601,x78604,x78603)+P106(f326(x78601,x78602))+~P106(f326(f326(f235(a1),x78604),f2(a1)))+~P106(f326(f326(f234(a1),x78605),f2(a1)))+~E(x78603,f326(f326(f79(a1),f326(f326(f80(a1),x78604),x78602)),x78605))+~P106(f326(f326(f235(a1),x78604),x78605))
% 163.42/163.17 [7861]~P148(x78611,x78614,x78613)+P106(f326(x78611,x78612))+~P106(f326(f326(f235(a1),x78614),f2(a1)))+~P106(f326(f326(f234(a1),x78612),f2(a1)))+~E(x78613,f326(f326(f79(a1),f326(f326(f80(a1),x78614),x78615)),x78612))+~P106(f326(f326(f235(a1),x78614),x78612))
% 163.42/163.17 [7903]~P149(x79031,x79034,x79033)+P106(f326(x79031,x79032))+~E(x79033,f326(f326(f79(a1),f326(f326(f80(a1),x79034),x79032)),x79035))+~P106(f326(f326(f234(a1),f2(a1)),x79035))+~P106(f326(f326(f235(a1),f2(a1)),x79034))+~P106(f326(f326(f235(a1),x79035),x79034))
% 163.42/163.17 [7904]~P148(x79041,x79044,x79043)+P106(f326(x79041,x79042))+~E(x79043,f326(f326(f79(a1),f326(f326(f80(a1),x79044),x79045)),x79042))+~P106(f326(f326(f234(a1),f2(a1)),x79042))+~P106(f326(f326(f235(a1),f2(a1)),x79044))+~P106(f326(f326(f235(a1),x79042),x79044))
% 163.42/163.17 [8831]P106(f326(f326(x88311,x88312),x88313))+~P106(f326(f326(x88311,f326(f326(f35(a1),x88314),x88315)),f44(a1,x88314,x88315)))+~P106(f326(f326(f235(a1),x88315),f2(a1)))+~P106(f326(f326(f234(a1),x88313),f2(a1)))+~E(x88314,f326(f326(f79(a1),f326(f326(f80(a1),x88315),x88312)),x88313))+~P106(f326(f326(f235(a1),x88315),x88313))
% 163.42/163.17 [8842]P106(f326(f326(x88421,x88422),x88423))+~P106(f326(f326(x88421,f326(f326(f35(a1),x88424),x88425)),f44(a1,x88424,x88425)))+~E(x88424,f326(f326(f79(a1),f326(f326(f80(a1),x88425),x88422)),x88423))+~P106(f326(f326(f234(a1),f2(a1)),x88423))+~P106(f326(f326(f235(a1),f2(a1)),x88425))+~P106(f326(f326(f235(a1),x88423),x88425))
% 163.42/163.17 [9104]E(x91041,x91042)+~P57(x91043,x91045,x91044)+~P106(f326(f326(f328(x91043),x91042),x91045))+~P106(f326(f326(f328(x91043),x91041),x91045))+P106(f326(f326(f328(f927(x91043,x91043)),f326(f326(f251(x91043,x91043),x91041),x91042)),x91044))+P106(f326(f326(f328(f927(x91043,x91043)),f326(f326(f251(x91043,x91043),x91042),x91041)),x91044))
% 163.42/163.17 [9973]~P72(x99735)+~P86(x99735)+~P106(f326(f60(x99731),x99734))+P106(f326(f326(f234(x99735),f326(f326(f8(x99731,x99735),x99732),x99733)),f326(f326(f8(x99731,x99735),x99732),x99734)))+~P106(f326(f326(f234(f928(x99731,a916)),x99733),x99734))+P106(f326(f326(f328(x99731),f904(x99732,x99733,x99734,x99731,x99735)),f326(f326(f3(f928(x99731,a916)),x99734),x99733)))
% 163.42/163.17 [10064]E(x100641,f189(f928(x100642,a916)))+~P106(f326(f60(x100642),x100643))+~P106(f326(f60(x100642),x100641))+P106(f326(f326(f328(f927(f928(x100642,a916),f928(x100642,a916))),f326(f326(f251(f928(x100642,a916),f928(x100642,a916)),x100643),x100641)),f317(x100642,x100644)))+~P106(f326(f326(f328(x100642),x100645),x100641))+~P106(f326(f326(f328(f927(x100642,x100642)),f326(f326(f251(x100642,x100642),f400(x100644,x100641,x100643,x100642)),x100645)),x100644))
% 163.42/163.17 [10065]E(x100651,f189(f928(x100652,a916)))+~P106(f326(f60(x100652),x100653))+~P106(f326(f60(x100652),x100651))+P106(f326(f326(f328(f927(f928(x100652,a916),f928(x100652,a916))),f326(f326(f251(f928(x100652,a916),f928(x100652,a916)),x100653),x100651)),f317(x100652,x100654)))+~P106(f326(f326(f328(x100652),x100655),x100651))+~P106(f326(f326(f328(f927(x100652,x100652)),f326(f326(f251(x100652,x100652),f606(x100654,x100651,x100653,x100652)),x100655)),x100654))
% 163.42/163.17 [10231]~P80(x102311)+~E(f326(f326(f8(x102315,x102311),x102312),x102316),x102314)+~P106(f326(f60(x102315),x102316))+P106(f326(f326(f328(x102315),f419(x102313,x102314,x102312,x102316,x102315,x102311)),x102316))+P106(f326(f326(f234(x102311),f326(x102312,x102313)),x102314))+~P106(f326(f326(f328(x102315),x102313),x102316))
% 163.42/163.17 [10280]~P80(x102801)+~E(f326(f326(f8(x102805,x102801),x102802),x102806),x102804)+~P106(f326(f60(x102805),x102806))+~P106(f326(f326(f328(x102805),x102803),x102806))+~P106(f326(f326(f234(x102801),f2(x102801)),f326(x102802,f419(x102803,x102804,x102802,x102806,x102805,x102801))))+P106(f326(f326(f234(x102801),f326(x102802,x102803)),x102804))
% 163.42/163.17 [10422]~E(x104225,x104228)+~E(x104224,x104227)+~P108(x104221)+~P72(x104222)+E(f326(f326(f8(x104221,x104222),x104223),f326(f301(x104221,x104224),x104225)),f326(f326(f8(x104221,x104222),x104226),f326(f301(x104221,x104227),x104228)))+P106(f326(f326(f234(x104221),x104224),f611(x104223,x104226,x104225,x104228,x104224,x104227,x104221,x104222)))
% 163.42/163.17 [10439]~E(x104397,x104394)+~E(x104398,x104395)+~P108(x104391)+~P72(x104392)+~E(f326(x104393,f611(x104396,x104393,x104398,x104395,x104397,x104394,x104391,x104392)),f326(x104396,f611(x104396,x104393,x104398,x104395,x104397,x104394,x104391,x104392)))+E(f326(f326(f8(x104391,x104392),x104393),f326(f301(x104391,x104394),x104395)),f326(f326(f8(x104391,x104392),x104396),f326(f301(x104391,x104397),x104398)))
% 163.42/163.17 [10442]~E(x104424,x104427)+~E(x104425,x104428)+~P108(x104421)+~P72(x104422)+E(f326(f326(f8(x104421,x104422),x104423),f326(f301(x104421,x104424),x104425)),f326(f326(f8(x104421,x104422),x104426),f326(f301(x104421,x104427),x104428)))+P106(f326(f326(f235(x104421),f611(x104423,x104426,x104425,x104428,x104424,x104427,x104421,x104422)),x104425))
% 163.42/163.17 [10071]~P9(x100715,x100719,x100716)+~P9(x100711,x1007110,x100713)+~P13(x100711,x100715,f928(x100712,a916),x100713,x100716,x100718)+~P106(f326(f326(f328(x100715),x100717),x100719))+~P106(f326(f326(f328(x100711),x100714),x1007110))+E(f326(f326(f39(x100711,f928(x100712,a916)),f326(f284(x100711,x100711,x100713),f326(f326(f308(x100711),x100714),f189(f928(x100711,a916))))),f326(f326(f10(f928(x100715,f928(x100712,a916)),f928(x100712,a916),x100711),f326(f39(x100715,f928(x100712,a916)),f326(f284(x100715,x100715,x100716),f326(f326(f308(x100715),x100717),f189(f928(x100715,a916)))))),x100718)),f326(f326(x100718,x100714),x100717))
% 163.42/163.17 [5794]~P109(x57943)+~P14(x57943,x57942)+~P14(x57943,x57941)+E(x57941,x57942)+~E(f326(f172(x57943),x57941),f326(f172(x57943),x57942))+~P106(f326(f137(x57943),x57942))+~P106(f326(f137(x57943),x57941))
% 163.42/163.17 [5120]~P133(x51202)+~P134(x51202)+~P145(x51202)+~P116(x51202)+~E(x51203,f2(x51202))+E(x51201,f2(a920))+E(f326(f326(f243(x51202),x51203),x51201),f2(x51202))
% 163.42/163.17 [9359]E(x93591,f2(a920))+~E(x93592,f326(f326(f79(a920),f326(f326(f80(a920),f326(f250(a920,a920),x93593)),x93591)),f326(f255(a920,a920),x93593)))+P106(f326(f47(x93592,x93591),x93593))+~P106(f326(f326(f234(a920),f326(f255(a920,a920),x93593)),f2(a920)))+~P106(f326(f326(f234(a920),f2(a920)),f326(f255(a920,a920),x93593)))+~P106(f326(f326(f235(a920),x93591),f326(f255(a920,a920),x93593)))+~P106(f326(f326(f235(a920),f326(f255(a920,a920),x93593)),x93591))
% 163.42/163.17 [9367]~E(f326(f250(a920,a920),x93673),f2(a920))+~E(x93671,f326(f326(f79(a920),f326(f326(f80(a920),f326(f250(a920,a920),x93673)),x93672)),f326(f255(a920,a920),x93673)))+P106(f326(f47(x93671,x93672),x93673))+~P106(f326(f326(f234(a920),f326(f255(a920,a920),x93673)),f2(a920)))+~P106(f326(f326(f234(a920),f2(a920)),f326(f255(a920,a920),x93673)))+~P106(f326(f326(f235(a920),x93672),f326(f255(a920,a920),x93673)))+~P106(f326(f326(f235(a920),f326(f255(a920,a920),x93673)),x93672))
% 163.42/163.17 [8212]~P70(x82122)+E(x82121,f189(f928(x82122,a916)))+E(x82123,f189(f928(x82122,a916)))+~P106(f326(f60(x82122),x82121))+~P106(f326(f60(x82122),x82123))+~E(f326(f326(f101(f928(x82122,a916)),x82123),x82121),f189(f928(x82122,a916)))+E(f326(f326(f80(x82122),f326(f62(x82122,f80(x82122)),x82123)),f326(f62(x82122,f80(x82122)),x82121)),f326(f62(x82122,f80(x82122)),f326(f326(f110(f928(x82122,a916)),x82123),x82121)))
% 163.42/163.17 [7997]E(x79971,f2(a1))+E(f326(f326(f35(a1),x79972),x79971),x79973)+~P106(f326(f326(f234(a1),x79974),f2(a1)))+~E(x79972,f326(f326(f79(a1),f326(f326(f80(a1),x79971),x79973)),x79974))+~P106(f326(f326(f234(a1),f2(a1)),x79974))+~P106(f326(f326(f235(a1),x79974),x79971))+~P106(f326(f326(f235(a1),x79971),x79974))
% 163.42/163.17 [8005]E(f44(a1,x80052,x80051),x80053)+E(x80051,f2(a1))+~P106(f326(f326(f234(a1),x80053),f2(a1)))+~E(x80052,f326(f326(f79(a1),f326(f326(f80(a1),x80051),x80054)),x80053))+~P106(f326(f326(f234(a1),f2(a1)),x80053))+~P106(f326(f326(f235(a1),x80053),x80051))+~P106(f326(f326(f235(a1),x80051),x80053))
% 163.42/163.17 [7056]~P62(x70562)+E(x70561,f2(x70562))+E(x70563,f2(x70562))+~E(f326(f326(f35(x70562),x70564),x70563),f326(f326(f35(x70562),x70565),x70561))+E(f326(f326(f80(x70562),x70564),x70561),f326(f326(f80(x70562),x70563),x70565))+~P106(f326(f326(f286(x70562),x70561),x70565))+~P106(f326(f326(f286(x70562),x70563),x70564))
% 163.42/163.17 [7057]~P62(x70572)+E(x70571,f2(x70572))+E(x70573,f2(x70572))+~E(f326(f326(f80(x70572),x70574),x70573),f326(f326(f80(x70572),x70571),x70575))+E(f326(f326(f35(x70572),x70574),x70571),f326(f326(f35(x70572),x70575),x70573))+~P106(f326(f326(f286(x70572),x70571),x70574))+~P106(f326(f326(f286(x70572),x70573),x70575))
% 163.42/163.17 [7912]~P19(x79122,x79125,x79124)+E(x79121,f189(f928(x79122,a916)))+E(x79123,f189(f928(x79122,a916)))+~P106(f326(f60(x79122),x79121))+~P106(f326(f60(x79122),x79123))+~E(f326(f326(f101(f928(x79122,a916)),x79123),x79121),f189(f928(x79122,a916)))+E(f326(x79124,f326(f326(f110(f928(x79122,a916)),x79123),x79121)),f326(f326(x79125,f326(x79124,x79123)),f326(x79124,x79121)))
% 163.42/163.17 [9607]~P26(x96073,x96071,x96075,x96074)+~P26(x96071,x96073,x96076,x96072)+E(f326(f34(x96071),x96072),f326(f34(x96073),x96074))+~P106(f326(f60(x96073),x96074))+~P106(f326(f60(x96071),x96072))+~P106(f326(f326(f234(f928(x96073,a916)),f326(f309(x96071,x96073,x96076),x96072)),x96074))+~P106(f326(f326(f234(f928(x96071,a916)),f326(f309(x96073,x96071,x96075),x96074)),x96072))
% 163.42/163.17 [9549]~P106(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f80(a1),x95495),x95491)),x95496)),f2(a1)))+~E(f326(f326(f79(a1),f326(f326(f80(a1),x95493),x95492)),x95494),f326(f326(f79(a1),f326(f326(f80(a1),x95495),x95491)),x95496))+~P106(f326(f326(f234(a1),f2(a1)),x95496))+~P106(f326(f326(f235(a1),f2(a1)),x95495))+~P106(f326(f326(f234(a1),x95495),x95493))+~P106(f326(f326(f235(a1),x95494),x95493))+P106(f326(f326(f234(a1),x95491),x95492))
% 163.42/163.17 [9310]~E(f326(f326(f79(a1),f326(f326(f80(a1),x93103),x93101)),x93104),f326(f326(f79(a1),f326(f326(f80(a1),x93105),x93102)),x93106))+~P106(f326(f326(f234(a1),f2(a1)),x93104))+~P106(f326(f326(f235(a1),f2(a1)),x93105))+~P106(f326(f326(f234(a1),x93105),x93103))+~P106(f326(f326(f235(a1),x93106),x93105))+P106(f326(f326(f234(a1),x93101),x93102))+~P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f326(f326(f80(a1),x93105),x93102)),x93106)))
% 163.42/163.17 [9489]~P132(x94891)+~E(f326(f326(f79(x94891),x94892),x94894),f77(x94891))+~P106(f326(f326(f234(x94891),x94895),x94896))+~P106(f326(f326(f234(x94891),x94893),x94896))+~P106(f326(f326(f234(x94891),f2(x94891)),x94894))+~P106(f326(f326(f234(x94891),f2(x94891)),x94892))+P106(f326(f326(f234(x94891),f326(f326(f79(x94891),f326(f326(f80(x94891),x94892),x94893)),f326(f326(f80(x94891),x94894),x94895))),x94896))
% 163.42/163.17 [9490]~P130(x94901)+~E(f326(f326(f79(x94901),x94902),x94904),f77(x94901))+~P106(f326(f326(f234(x94901),f2(x94901)),x94904))+~P106(f326(f326(f234(x94901),f2(x94901)),x94902))+~P106(f326(f326(f235(x94901),x94905),x94906))+~P106(f326(f326(f235(x94901),x94903),x94906))+P106(f326(f326(f235(x94901),f326(f326(f79(x94901),f326(f326(f80(x94901),x94902),x94903)),f326(f326(f80(x94901),x94904),x94905))),x94906))
% 163.42/163.17 [10330]~P9(x103307,x103306,x103305)+E(x103301,x103302)+~P12(x103307,f928(x103304,a916),x103305,x103303)+E(f326(x103303,f485(x103301,x103302,x103303,x103304,x103305,x103306,x103307)),f326(x103303,f486(x103301,x103302,x103303,x103304,x103305,x103306,x103307)))+~E(f326(f326(f39(x103307,f928(x103304,a916)),x103301),x103303),f326(f326(f39(x103307,f928(x103304,a916)),x103302),x103303))+~P106(f326(f326(f328(f928(x103307,a916)),x103302),f326(f326(f59(x103307),x103306),x103305)))+~P106(f326(f326(f328(f928(x103307,a916)),x103301),f326(f326(f59(x103307),x103306),x103305)))
% 163.42/163.17 [10375]~P9(x103753,x103757,x103756)+E(x103751,x103752)+~P12(x103753,f928(x103755,a916),x103756,x103754)+~E(f326(f326(f39(x103753,f928(x103755,a916)),x103751),x103754),f326(f326(f39(x103753,f928(x103755,a916)),x103752),x103754))+P106(f326(f326(f328(x103753),f486(x103751,x103752,x103754,x103755,x103756,x103757,x103753)),x103757))+~P106(f326(f326(f328(f928(x103753,a916)),x103752),f326(f326(f59(x103753),x103757),x103756)))+~P106(f326(f326(f328(f928(x103753,a916)),x103751),f326(f326(f59(x103753),x103757),x103756)))
% 163.42/163.17 [10376]~P9(x103763,x103767,x103766)+E(x103761,x103762)+~P12(x103763,f928(x103765,a916),x103766,x103764)+~E(f326(f326(f39(x103763,f928(x103765,a916)),x103761),x103764),f326(f326(f39(x103763,f928(x103765,a916)),x103762),x103764))+P106(f326(f326(f328(x103763),f485(x103761,x103762,x103764,x103765,x103766,x103767,x103763)),x103767))+~P106(f326(f326(f328(f928(x103763,a916)),x103762),f326(f326(f59(x103763),x103767),x103766)))+~P106(f326(f326(f328(f928(x103763,a916)),x103761),f326(f326(f59(x103763),x103767),x103766)))
% 163.42/163.17 [10458]E(x104581,x104582)+~P9(x104583,x104586,x104587)+~P12(x104583,f928(x104584,a916),x104587,x104585)+~E(f326(f326(f39(x104583,f928(x104584,a916)),x104581),x104585),f326(f326(f39(x104583,f928(x104584,a916)),x104582),x104585))+~P106(f326(f326(f328(f927(x104583,x104583)),f326(f326(f251(x104583,x104583),f486(x104581,x104582,x104585,x104584,x104587,x104586,x104583)),f485(x104581,x104582,x104585,x104584,x104587,x104586,x104583))),x104587))+~P106(f326(f326(f328(f928(x104583,a916)),x104582),f326(f326(f59(x104583),x104586),x104587)))+~P106(f326(f326(f328(f928(x104583,a916)),x104581),f326(f326(f59(x104583),x104586),x104587)))
% 163.42/163.17 [9309]~P9(x93091,x93097,x93094)+~E(x93095,x93096)+~P106(f326(f326(f328(x93091),x93093),x93096))+~P106(f326(f326(f328(x93091),x93092),x93095))+~P106(f326(f326(f328(f928(x93091,a916)),x93096),f326(f326(f59(x93091),x93097),x93094)))+~P106(f326(f326(f328(f928(x93091,a916)),x93095),f326(f326(f59(x93091),x93097),x93094)))+P106(f326(f326(f328(f927(x93091,x93091)),f326(f326(f251(x93091,x93091),x93092),x93093)),x93094))
% 163.42/163.17 [9446]E(x94461,x94462)+~P9(x94463,x94464,x94465)+~P106(f326(f326(f328(x94463),x94466),x94462))+~P106(f326(f326(f328(x94463),x94467),x94461))+~P106(f326(f326(f328(f928(x94463,a916)),x94462),f326(f326(f59(x94463),x94464),x94465)))+~P106(f326(f326(f328(f928(x94463,a916)),x94461),f326(f326(f59(x94463),x94464),x94465)))+~P106(f326(f326(f328(f927(x94463,x94463)),f326(f326(f251(x94463,x94463),x94467),x94466)),x94465))
% 163.42/163.17 [10485]~P9(x104859,x104858,x104857)+~P9(x104851,x1048511,x1048510)+~P13(x104851,x104859,f928(x104856,a916),x1048510,x104857,x104855)+P106(f326(f326(f328(x104851),f487(x104852,x104853,x104854,x104855,x104856,x104857,x104858,x104859,x1048510,x1048511,x104851)),x1048511))+~P106(f326(f326(f328(f928(x104859,a916)),x104853),f326(f326(f59(x104859),x104858),x104857)))+~P106(f326(f326(f328(f928(x104851,a916)),x104854),f326(f326(f59(x104851),x1048511),x1048510)))+P106(f326(f326(f328(f928(x104856,a916)),f326(f326(f39(x104851,f928(x104856,a916)),x104854),f326(f326(f10(f928(x104859,f928(x104856,a916)),f928(x104856,a916),x104851),f326(f39(x104859,f928(x104856,a916)),x104853)),x104855))),x104852))
% 163.42/163.17 [10486]~P9(x1048611,x1048610,x104869)+~P9(x104861,x104868,x104867)+~P13(x1048611,x104861,f928(x104866,a916),x104869,x104867,x104865)+P106(f326(f326(f328(x104861),f489(x104862,x104863,x104864,x104865,x104866,x104867,x104868,x104861,x104869,x1048610,x1048611)),x104868))+~P106(f326(f326(f328(f928(x1048611,a916)),x104864),f326(f326(f59(x1048611),x1048610),x104869)))+~P106(f326(f326(f328(f928(x104861,a916)),x104863),f326(f326(f59(x104861),x104868),x104867)))+P106(f326(f326(f328(f928(x104866,a916)),f326(f326(f39(x1048611,f928(x104866,a916)),x104864),f326(f326(f10(f928(x104861,f928(x104866,a916)),f928(x104866,a916),x1048611),f326(f39(x104861,f928(x104866,a916)),x104863)),x104865))),x104862))
% 163.42/163.17 [10489]~P9(x104892,x104898,x104899)+~P9(x104894,x1048910,x1048911)+~P13(x104892,x104894,f928(x104891,a916),x104899,x1048911,x104896)+~P106(f326(f326(f328(f928(x104892,a916)),x104893),f326(f326(f59(x104892),x104898),x104899)))+~P106(f326(f326(f328(f928(x104894,a916)),x104895),f326(f326(f59(x104894),x1048910),x1048911)))+~P106(f326(f326(f328(f928(x104891,a916)),f326(f326(x104896,f487(x104897,x104895,x104893,x104896,x104891,x1048911,x1048910,x104894,x104899,x104898,x104892)),f489(x104897,x104895,x104893,x104896,x104891,x1048911,x1048910,x104894,x104899,x104898,x104892))),x104897))+P106(f326(f326(f328(f928(x104891,a916)),f326(f326(f39(x104892,f928(x104891,a916)),x104893),f326(f326(f10(f928(x104894,f928(x104891,a916)),f928(x104891,a916),x104892),f326(f39(x104894,f928(x104891,a916)),x104895)),x104896))),x104897))
% 163.42/163.17 [9345]E(x93451,x93452)+~P109(x93454)+~P26(x93453,x93454,x93455,f326(f326(f110(f928(x93453,a916)),f326(f172(x93453),x93451)),f326(f172(x93453),x93452)))+~E(f326(f172(x93453),x93451),f326(f172(x93453),x93452))+~P14(x93454,f326(f326(f154(x93453,x93454),x93455),x93452))+~P14(x93454,f326(f326(f154(x93453,x93454),x93455),x93451))+~P106(f326(f137(x93454),f326(f326(f154(x93453,x93454),x93455),x93452)))+~P106(f326(f137(x93454),f326(f326(f154(x93453,x93454),x93455),x93451)))
% 163.42/163.17 %EqnAxiom
% 163.42/163.17 [1]E(x11,x11)
% 163.42/163.17 [2]E(x22,x21)+~E(x21,x22)
% 163.42/163.17 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 163.42/163.17 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 163.42/163.17 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 163.42/163.17 [6]~E(x61,x62)+E(f100(x61),f100(x62))
% 163.42/163.17 [7]~E(x71,x72)+E(f101(x71),f101(x72))
% 163.42/163.17 [8]~E(x81,x82)+E(f188(x81),f188(x82))
% 163.42/163.17 [9]~E(x91,x92)+E(f189(x91),f189(x92))
% 163.42/163.17 [10]~E(x101,x102)+E(f326(x101,x103),f326(x102,x103))
% 163.42/163.17 [11]~E(x111,x112)+E(f326(x113,x111),f326(x113,x112))
% 163.42/163.17 [12]~E(x121,x122)+E(f28(x121),f28(x122))
% 163.42/163.17 [13]~E(x131,x132)+E(f928(x131,x133),f928(x132,x133))
% 163.42/163.17 [14]~E(x141,x142)+E(f928(x143,x141),f928(x143,x142))
% 163.42/163.17 [15]~E(x151,x152)+E(f110(x151),f110(x152))
% 163.42/163.17 [16]~E(x161,x162)+E(f233(x161),f233(x162))
% 163.42/163.17 [17]~E(x171,x172)+E(f102(x171),f102(x172))
% 163.42/163.17 [18]~E(x181,x182)+E(f31(x181),f31(x182))
% 163.42/163.17 [19]~E(x191,x192)+E(f83(x191),f83(x192))
% 163.42/163.17 [20]~E(x201,x202)+E(f20(x201,x203,x204),f20(x202,x203,x204))
% 163.42/163.17 [21]~E(x211,x212)+E(f20(x213,x211,x214),f20(x213,x212,x214))
% 163.42/163.17 [22]~E(x221,x222)+E(f20(x223,x224,x221),f20(x223,x224,x222))
% 163.42/163.17 [23]~E(x231,x232)+E(f234(x231),f234(x232))
% 163.42/163.17 [24]~E(x241,x242)+E(f489(x241,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f489(x242,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 163.42/163.17 [25]~E(x251,x252)+E(f489(x253,x251,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512),f489(x253,x252,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512))
% 163.42/163.17 [26]~E(x261,x262)+E(f489(x263,x264,x261,x265,x266,x267,x268,x269,x2610,x2611,x2612),f489(x263,x264,x262,x265,x266,x267,x268,x269,x2610,x2611,x2612))
% 163.42/163.17 [27]~E(x271,x272)+E(f489(x273,x274,x275,x271,x276,x277,x278,x279,x2710,x2711,x2712),f489(x273,x274,x275,x272,x276,x277,x278,x279,x2710,x2711,x2712))
% 163.42/163.17 [28]~E(x281,x282)+E(f489(x283,x284,x285,x286,x281,x287,x288,x289,x2810,x2811,x2812),f489(x283,x284,x285,x286,x282,x287,x288,x289,x2810,x2811,x2812))
% 163.42/163.17 [29]~E(x291,x292)+E(f489(x293,x294,x295,x296,x297,x291,x298,x299,x2910,x2911,x2912),f489(x293,x294,x295,x296,x297,x292,x298,x299,x2910,x2911,x2912))
% 163.42/163.17 [30]~E(x301,x302)+E(f489(x303,x304,x305,x306,x307,x308,x301,x309,x3010,x3011,x3012),f489(x303,x304,x305,x306,x307,x308,x302,x309,x3010,x3011,x3012))
% 163.42/163.17 [31]~E(x311,x312)+E(f489(x313,x314,x315,x316,x317,x318,x319,x311,x3110,x3111,x3112),f489(x313,x314,x315,x316,x317,x318,x319,x312,x3110,x3111,x3112))
% 163.42/163.17 [32]~E(x321,x322)+E(f489(x323,x324,x325,x326,x327,x328,x329,x3210,x321,x3211,x3212),f489(x323,x324,x325,x326,x327,x328,x329,x3210,x322,x3211,x3212))
% 163.42/163.17 [33]~E(x331,x332)+E(f489(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x331,x3312),f489(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x332,x3312))
% 163.42/163.17 [34]~E(x341,x342)+E(f489(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x341),f489(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x342))
% 163.42/163.17 [35]~E(x351,x352)+E(f77(x351),f77(x352))
% 163.42/163.17 [36]~E(x361,x362)+E(f79(x361),f79(x362))
% 163.42/163.17 [37]~E(x371,x372)+E(f487(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f487(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 163.42/163.17 [38]~E(x381,x382)+E(f487(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f487(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 163.42/163.17 [39]~E(x391,x392)+E(f487(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f487(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 163.42/163.17 [40]~E(x401,x402)+E(f487(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f487(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012))
% 163.42/163.17 [41]~E(x411,x412)+E(f487(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f487(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112))
% 163.42/163.17 [42]~E(x421,x422)+E(f487(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f487(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212))
% 163.42/163.17 [43]~E(x431,x432)+E(f487(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f487(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312))
% 163.42/163.17 [44]~E(x441,x442)+E(f487(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f487(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412))
% 163.42/163.17 [45]~E(x451,x452)+E(f487(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f487(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512))
% 163.42/163.17 [46]~E(x461,x462)+E(f487(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f487(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612))
% 163.42/163.17 [47]~E(x471,x472)+E(f487(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f487(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472))
% 163.42/163.17 [48]~E(x481,x482)+E(f6(x481),f6(x482))
% 163.42/163.17 [49]~E(x491,x492)+E(f328(x491),f328(x492))
% 163.42/163.17 [50]~E(x501,x502)+E(f235(x501),f235(x502))
% 163.42/163.17 [51]~E(x511,x512)+E(f111(x511),f111(x512))
% 163.42/163.17 [52]~E(x521,x522)+E(f64(x521,x523,x524),f64(x522,x523,x524))
% 163.42/163.17 [53]~E(x531,x532)+E(f64(x533,x531,x534),f64(x533,x532,x534))
% 163.42/163.17 [54]~E(x541,x542)+E(f64(x543,x544,x541),f64(x543,x544,x542))
% 163.42/163.17 [55]~E(x551,x552)+E(f919(x551),f919(x552))
% 163.42/163.17 [56]~E(x561,x562)+E(f924(x561),f924(x562))
% 163.42/163.17 [57]~E(x571,x572)+E(f921(x571),f921(x572))
% 163.42/163.17 [58]~E(x581,x582)+E(f922(x581),f922(x582))
% 163.42/163.17 [59]~E(x591,x592)+E(f78(x591),f78(x592))
% 163.42/163.17 [60]~E(x601,x602)+E(f80(x601),f80(x602))
% 163.42/163.17 [61]~E(x611,x612)+E(f190(x611),f190(x612))
% 163.42/163.17 [62]~E(x621,x622)+E(f838(x621,x623,x624,x625,x626,x627),f838(x622,x623,x624,x625,x626,x627))
% 163.42/163.17 [63]~E(x631,x632)+E(f838(x633,x631,x634,x635,x636,x637),f838(x633,x632,x634,x635,x636,x637))
% 163.42/163.17 [64]~E(x641,x642)+E(f838(x643,x644,x641,x645,x646,x647),f838(x643,x644,x642,x645,x646,x647))
% 163.42/163.17 [65]~E(x651,x652)+E(f838(x653,x654,x655,x651,x656,x657),f838(x653,x654,x655,x652,x656,x657))
% 163.42/163.17 [66]~E(x661,x662)+E(f838(x663,x664,x665,x666,x661,x667),f838(x663,x664,x665,x666,x662,x667))
% 163.42/163.17 [67]~E(x671,x672)+E(f838(x673,x674,x675,x676,x677,x671),f838(x673,x674,x675,x676,x677,x672))
% 163.42/163.17 [68]~E(x681,x682)+E(f103(x681),f103(x682))
% 163.42/163.17 [69]~E(x691,x692)+E(f432(x691,x693),f432(x692,x693))
% 163.42/163.17 [70]~E(x701,x702)+E(f432(x703,x701),f432(x703,x702))
% 163.42/163.17 [71]~E(x711,x712)+E(f151(x711),f151(x712))
% 163.42/163.17 [72]~E(x721,x722)+E(f383(x721,x723,x724),f383(x722,x723,x724))
% 163.42/163.17 [73]~E(x731,x732)+E(f383(x733,x731,x734),f383(x733,x732,x734))
% 163.42/163.17 [74]~E(x741,x742)+E(f383(x743,x744,x741),f383(x743,x744,x742))
% 163.42/163.17 [75]~E(x751,x752)+E(f290(x751),f290(x752))
% 163.42/163.17 [76]~E(x761,x762)+E(f170(x761,x763,x764),f170(x762,x763,x764))
% 163.42/163.17 [77]~E(x771,x772)+E(f170(x773,x771,x774),f170(x773,x772,x774))
% 163.42/163.17 [78]~E(x781,x782)+E(f170(x783,x784,x781),f170(x783,x784,x782))
% 163.42/163.17 [79]~E(x791,x792)+E(f8(x791,x793),f8(x792,x793))
% 163.42/163.17 [80]~E(x801,x802)+E(f8(x803,x801),f8(x803,x802))
% 163.42/163.17 [81]~E(x811,x812)+E(f10(x811,x813,x814),f10(x812,x813,x814))
% 163.42/163.17 [82]~E(x821,x822)+E(f10(x823,x821,x824),f10(x823,x822,x824))
% 163.42/163.17 [83]~E(x831,x832)+E(f10(x833,x834,x831),f10(x833,x834,x832))
% 163.42/163.17 [84]~E(x841,x842)+E(f134(x841),f134(x842))
% 163.42/163.17 [85]~E(x851,x852)+E(f60(x851),f60(x852))
% 163.42/163.17 [86]~E(x861,x862)+E(f301(x861,x863),f301(x862,x863))
% 163.42/163.17 [87]~E(x871,x872)+E(f301(x873,x871),f301(x873,x872))
% 163.42/163.17 [88]~E(x881,x882)+E(f38(x881,x883),f38(x882,x883))
% 163.42/163.17 [89]~E(x891,x892)+E(f38(x893,x891),f38(x893,x892))
% 163.42/163.17 [90]~E(x901,x902)+E(f37(x901,x903),f37(x902,x903))
% 163.42/163.17 [91]~E(x911,x912)+E(f37(x913,x911),f37(x913,x912))
% 163.42/163.17 [92]~E(x921,x922)+E(f59(x921),f59(x922))
% 163.42/163.17 [93]~E(x931,x932)+E(f717(x931,x933),f717(x932,x933))
% 163.42/163.17 [94]~E(x941,x942)+E(f717(x943,x941),f717(x943,x942))
% 163.42/163.17 [95]~E(x951,x952)+E(f870(x951,x953,x954),f870(x952,x953,x954))
% 163.42/163.17 [96]~E(x961,x962)+E(f870(x963,x961,x964),f870(x963,x962,x964))
% 163.42/163.17 [97]~E(x971,x972)+E(f870(x973,x974,x971),f870(x973,x974,x972))
% 163.42/163.17 [98]~E(x981,x982)+E(f314(x981,x983),f314(x982,x983))
% 163.42/163.17 [99]~E(x991,x992)+E(f314(x993,x991),f314(x993,x992))
% 163.42/163.17 [100]~E(x1001,x1002)+E(f927(x1001,x1003),f927(x1002,x1003))
% 163.42/163.17 [101]~E(x1011,x1012)+E(f927(x1013,x1011),f927(x1013,x1012))
% 163.42/163.17 [102]~E(x1021,x1022)+E(f251(x1021,x1023),f251(x1022,x1023))
% 163.42/163.17 [103]~E(x1031,x1032)+E(f251(x1033,x1031),f251(x1033,x1032))
% 163.42/163.17 [104]~E(x1041,x1042)+E(f243(x1041),f243(x1042))
% 163.42/163.17 [105]~E(x1051,x1052)+E(f494(x1051,x1053,x1054,x1055),f494(x1052,x1053,x1054,x1055))
% 163.42/163.17 [106]~E(x1061,x1062)+E(f494(x1063,x1061,x1064,x1065),f494(x1063,x1062,x1064,x1065))
% 163.42/163.17 [107]~E(x1071,x1072)+E(f494(x1073,x1074,x1071,x1075),f494(x1073,x1074,x1072,x1075))
% 163.42/163.17 [108]~E(x1081,x1082)+E(f494(x1083,x1084,x1085,x1081),f494(x1083,x1084,x1085,x1082))
% 163.42/163.17 [109]~E(x1091,x1092)+E(f63(x1091,x1093,x1094),f63(x1092,x1093,x1094))
% 163.42/163.17 [110]~E(x1101,x1102)+E(f63(x1103,x1101,x1104),f63(x1103,x1102,x1104))
% 163.42/163.17 [111]~E(x1111,x1112)+E(f63(x1113,x1114,x1111),f63(x1113,x1114,x1112))
% 163.42/163.17 [112]~E(x1121,x1122)+E(f603(x1121,x1123,x1124,x1125,x1126,x1127),f603(x1122,x1123,x1124,x1125,x1126,x1127))
% 163.42/163.17 [113]~E(x1131,x1132)+E(f603(x1133,x1131,x1134,x1135,x1136,x1137),f603(x1133,x1132,x1134,x1135,x1136,x1137))
% 163.42/163.17 [114]~E(x1141,x1142)+E(f603(x1143,x1144,x1141,x1145,x1146,x1147),f603(x1143,x1144,x1142,x1145,x1146,x1147))
% 163.42/163.17 [115]~E(x1151,x1152)+E(f603(x1153,x1154,x1155,x1151,x1156,x1157),f603(x1153,x1154,x1155,x1152,x1156,x1157))
% 163.42/163.17 [116]~E(x1161,x1162)+E(f603(x1163,x1164,x1165,x1166,x1161,x1167),f603(x1163,x1164,x1165,x1166,x1162,x1167))
% 163.42/163.17 [117]~E(x1171,x1172)+E(f603(x1173,x1174,x1175,x1176,x1177,x1171),f603(x1173,x1174,x1175,x1176,x1177,x1172))
% 163.42/163.17 [118]~E(x1181,x1182)+E(f281(x1181),f281(x1182))
% 163.42/163.17 [119]~E(x1191,x1192)+E(f75(x1191),f75(x1192))
% 163.42/163.17 [120]~E(x1201,x1202)+E(f425(x1201,x1203,x1204,x1205),f425(x1202,x1203,x1204,x1205))
% 163.42/163.17 [121]~E(x1211,x1212)+E(f425(x1213,x1211,x1214,x1215),f425(x1213,x1212,x1214,x1215))
% 163.42/163.17 [122]~E(x1221,x1222)+E(f425(x1223,x1224,x1221,x1225),f425(x1223,x1224,x1222,x1225))
% 163.42/163.17 [123]~E(x1231,x1232)+E(f425(x1233,x1234,x1235,x1231),f425(x1233,x1234,x1235,x1232))
% 163.42/163.17 [124]~E(x1241,x1242)+E(f871(x1241,x1243,x1244),f871(x1242,x1243,x1244))
% 163.42/163.17 [125]~E(x1251,x1252)+E(f871(x1253,x1251,x1254),f871(x1253,x1252,x1254))
% 163.42/163.17 [126]~E(x1261,x1262)+E(f871(x1263,x1264,x1261),f871(x1263,x1264,x1262))
% 163.42/163.17 [127]~E(x1271,x1272)+E(f839(x1271,x1273,x1274,x1275,x1276,x1277,x1278,x1279),f839(x1272,x1273,x1274,x1275,x1276,x1277,x1278,x1279))
% 163.42/163.17 [128]~E(x1281,x1282)+E(f839(x1283,x1281,x1284,x1285,x1286,x1287,x1288,x1289),f839(x1283,x1282,x1284,x1285,x1286,x1287,x1288,x1289))
% 163.42/163.17 [129]~E(x1291,x1292)+E(f839(x1293,x1294,x1291,x1295,x1296,x1297,x1298,x1299),f839(x1293,x1294,x1292,x1295,x1296,x1297,x1298,x1299))
% 163.42/163.17 [130]~E(x1301,x1302)+E(f839(x1303,x1304,x1305,x1301,x1306,x1307,x1308,x1309),f839(x1303,x1304,x1305,x1302,x1306,x1307,x1308,x1309))
% 163.42/163.17 [131]~E(x1311,x1312)+E(f839(x1313,x1314,x1315,x1316,x1311,x1317,x1318,x1319),f839(x1313,x1314,x1315,x1316,x1312,x1317,x1318,x1319))
% 163.42/163.17 [132]~E(x1321,x1322)+E(f839(x1323,x1324,x1325,x1326,x1327,x1321,x1328,x1329),f839(x1323,x1324,x1325,x1326,x1327,x1322,x1328,x1329))
% 163.42/163.17 [133]~E(x1331,x1332)+E(f839(x1333,x1334,x1335,x1336,x1337,x1338,x1331,x1339),f839(x1333,x1334,x1335,x1336,x1337,x1338,x1332,x1339))
% 163.42/163.17 [134]~E(x1341,x1342)+E(f839(x1343,x1344,x1345,x1346,x1347,x1348,x1349,x1341),f839(x1343,x1344,x1345,x1346,x1347,x1348,x1349,x1342))
% 163.42/163.17 [135]~E(x1351,x1352)+E(f96(x1351),f96(x1352))
% 163.42/163.17 [136]~E(x1361,x1362)+E(f253(x1361,x1363),f253(x1362,x1363))
% 163.42/163.17 [137]~E(x1371,x1372)+E(f253(x1373,x1371),f253(x1373,x1372))
% 163.42/163.17 [138]~E(x1381,x1382)+E(f310(x1381,x1383,x1384),f310(x1382,x1383,x1384))
% 163.42/163.17 [139]~E(x1391,x1392)+E(f310(x1393,x1391,x1394),f310(x1393,x1392,x1394))
% 163.42/163.17 [140]~E(x1401,x1402)+E(f310(x1403,x1404,x1401),f310(x1403,x1404,x1402))
% 163.42/163.17 [141]~E(x1411,x1412)+E(f261(x1411),f261(x1412))
% 163.42/163.17 [142]~E(x1421,x1422)+E(f154(x1421,x1423),f154(x1422,x1423))
% 163.42/163.17 [143]~E(x1431,x1432)+E(f154(x1433,x1431),f154(x1433,x1432))
% 163.42/163.17 [144]~E(x1441,x1442)+E(f258(x1441,x1443,x1444,x1445),f258(x1442,x1443,x1444,x1445))
% 163.42/163.17 [145]~E(x1451,x1452)+E(f258(x1453,x1451,x1454,x1455),f258(x1453,x1452,x1454,x1455))
% 163.42/163.17 [146]~E(x1461,x1462)+E(f258(x1463,x1464,x1461,x1465),f258(x1463,x1464,x1462,x1465))
% 163.42/163.17 [147]~E(x1471,x1472)+E(f258(x1473,x1474,x1475,x1471),f258(x1473,x1474,x1475,x1472))
% 163.42/163.17 [148]~E(x1481,x1482)+E(f393(x1481,x1483,x1484),f393(x1482,x1483,x1484))
% 163.42/163.17 [149]~E(x1491,x1492)+E(f393(x1493,x1491,x1494),f393(x1493,x1492,x1494))
% 163.42/163.17 [150]~E(x1501,x1502)+E(f393(x1503,x1504,x1501),f393(x1503,x1504,x1502))
% 163.42/163.17 [151]~E(x1511,x1512)+E(f113(x1511),f113(x1512))
% 163.42/163.17 [152]~E(x1521,x1522)+E(f139(x1521,x1523),f139(x1522,x1523))
% 163.42/163.17 [153]~E(x1531,x1532)+E(f139(x1533,x1531),f139(x1533,x1532))
% 163.42/163.17 [154]~E(x1541,x1542)+E(f242(x1541,x1543,x1544),f242(x1542,x1543,x1544))
% 163.42/163.17 [155]~E(x1551,x1552)+E(f242(x1553,x1551,x1554),f242(x1553,x1552,x1554))
% 163.42/163.17 [156]~E(x1561,x1562)+E(f242(x1563,x1564,x1561),f242(x1563,x1564,x1562))
% 163.42/163.17 [157]~E(x1571,x1572)+E(f9(x1571,x1573,x1574),f9(x1572,x1573,x1574))
% 163.42/163.17 [158]~E(x1581,x1582)+E(f9(x1583,x1581,x1584),f9(x1583,x1582,x1584))
% 163.42/163.17 [159]~E(x1591,x1592)+E(f9(x1593,x1594,x1591),f9(x1593,x1594,x1592))
% 163.42/163.17 [160]~E(x1601,x1602)+E(f89(x1601,x1603),f89(x1602,x1603))
% 163.42/163.17 [161]~E(x1611,x1612)+E(f89(x1613,x1611),f89(x1613,x1612))
% 163.42/163.17 [162]~E(x1621,x1622)+E(f72(x1621,x1623,x1624,x1625),f72(x1622,x1623,x1624,x1625))
% 163.42/163.17 [163]~E(x1631,x1632)+E(f72(x1633,x1631,x1634,x1635),f72(x1633,x1632,x1634,x1635))
% 163.42/163.17 [164]~E(x1641,x1642)+E(f72(x1643,x1644,x1641,x1645),f72(x1643,x1644,x1642,x1645))
% 163.42/163.17 [165]~E(x1651,x1652)+E(f72(x1653,x1654,x1655,x1651),f72(x1653,x1654,x1655,x1652))
% 163.42/163.17 [166]~E(x1661,x1662)+E(f105(x1661),f105(x1662))
% 163.42/163.17 [167]~E(x1671,x1672)+E(f107(x1671),f107(x1672))
% 163.42/163.17 [168]~E(x1681,x1682)+E(f327(x1681),f327(x1682))
% 163.42/163.17 [169]~E(x1691,x1692)+E(f306(x1691,x1693),f306(x1692,x1693))
% 163.42/163.17 [170]~E(x1701,x1702)+E(f306(x1703,x1701),f306(x1703,x1702))
% 163.42/163.17 [171]~E(x1711,x1712)+E(f579(x1711),f579(x1712))
% 163.42/163.17 [172]~E(x1721,x1722)+E(f592(x1721,x1723,x1724,x1725,x1726,x1727),f592(x1722,x1723,x1724,x1725,x1726,x1727))
% 163.42/163.17 [173]~E(x1731,x1732)+E(f592(x1733,x1731,x1734,x1735,x1736,x1737),f592(x1733,x1732,x1734,x1735,x1736,x1737))
% 163.42/163.17 [174]~E(x1741,x1742)+E(f592(x1743,x1744,x1741,x1745,x1746,x1747),f592(x1743,x1744,x1742,x1745,x1746,x1747))
% 163.42/163.17 [175]~E(x1751,x1752)+E(f592(x1753,x1754,x1755,x1751,x1756,x1757),f592(x1753,x1754,x1755,x1752,x1756,x1757))
% 163.42/163.17 [176]~E(x1761,x1762)+E(f592(x1763,x1764,x1765,x1766,x1761,x1767),f592(x1763,x1764,x1765,x1766,x1762,x1767))
% 163.42/163.17 [177]~E(x1771,x1772)+E(f592(x1773,x1774,x1775,x1776,x1777,x1771),f592(x1773,x1774,x1775,x1776,x1777,x1772))
% 163.42/163.17 [178]~E(x1781,x1782)+E(f591(x1781,x1783,x1784,x1785,x1786,x1787),f591(x1782,x1783,x1784,x1785,x1786,x1787))
% 163.42/163.17 [179]~E(x1791,x1792)+E(f591(x1793,x1791,x1794,x1795,x1796,x1797),f591(x1793,x1792,x1794,x1795,x1796,x1797))
% 163.42/163.17 [180]~E(x1801,x1802)+E(f591(x1803,x1804,x1801,x1805,x1806,x1807),f591(x1803,x1804,x1802,x1805,x1806,x1807))
% 163.42/163.17 [181]~E(x1811,x1812)+E(f591(x1813,x1814,x1815,x1811,x1816,x1817),f591(x1813,x1814,x1815,x1812,x1816,x1817))
% 163.42/163.17 [182]~E(x1821,x1822)+E(f591(x1823,x1824,x1825,x1826,x1821,x1827),f591(x1823,x1824,x1825,x1826,x1822,x1827))
% 163.42/163.17 [183]~E(x1831,x1832)+E(f591(x1833,x1834,x1835,x1836,x1837,x1831),f591(x1833,x1834,x1835,x1836,x1837,x1832))
% 163.42/163.17 [184]~E(x1841,x1842)+E(f240(x1841,x1843),f240(x1842,x1843))
% 163.42/163.17 [185]~E(x1851,x1852)+E(f240(x1853,x1851),f240(x1853,x1852))
% 163.42/163.17 [186]~E(x1861,x1862)+E(f44(x1861,x1863,x1864),f44(x1862,x1863,x1864))
% 163.42/163.17 [187]~E(x1871,x1872)+E(f44(x1873,x1871,x1874),f44(x1873,x1872,x1874))
% 163.42/163.17 [188]~E(x1881,x1882)+E(f44(x1883,x1884,x1881),f44(x1883,x1884,x1882))
% 163.42/163.17 [189]~E(x1891,x1892)+E(f18(x1891,x1893),f18(x1892,x1893))
% 163.42/163.17 [190]~E(x1901,x1902)+E(f18(x1903,x1901),f18(x1903,x1902))
% 163.42/163.17 [191]~E(x1911,x1912)+E(f153(x1911,x1913),f153(x1912,x1913))
% 163.42/163.17 [192]~E(x1921,x1922)+E(f153(x1923,x1921),f153(x1923,x1922))
% 163.42/163.17 [193]~E(x1931,x1932)+E(f256(x1931,x1933,x1934),f256(x1932,x1933,x1934))
% 163.42/163.17 [194]~E(x1941,x1942)+E(f256(x1943,x1941,x1944),f256(x1943,x1942,x1944))
% 163.42/163.17 [195]~E(x1951,x1952)+E(f256(x1953,x1954,x1951),f256(x1953,x1954,x1952))
% 163.42/163.17 [196]~E(x1961,x1962)+E(f7(x1961),f7(x1962))
% 163.42/163.17 [197]~E(x1971,x1972)+E(f158(x1971,x1973),f158(x1972,x1973))
% 163.42/163.17 [198]~E(x1981,x1982)+E(f158(x1983,x1981),f158(x1983,x1982))
% 163.42/163.17 [199]~E(x1991,x1992)+E(f289(x1991,x1993,x1994,x1995),f289(x1992,x1993,x1994,x1995))
% 163.42/163.17 [200]~E(x2001,x2002)+E(f289(x2003,x2001,x2004,x2005),f289(x2003,x2002,x2004,x2005))
% 163.42/163.17 [201]~E(x2011,x2012)+E(f289(x2013,x2014,x2011,x2015),f289(x2013,x2014,x2012,x2015))
% 163.42/163.17 [202]~E(x2021,x2022)+E(f289(x2023,x2024,x2025,x2021),f289(x2023,x2024,x2025,x2022))
% 163.42/163.17 [203]~E(x2031,x2032)+E(f571(x2031,x2033,x2034,x2035),f571(x2032,x2033,x2034,x2035))
% 163.42/163.17 [204]~E(x2041,x2042)+E(f571(x2043,x2041,x2044,x2045),f571(x2043,x2042,x2044,x2045))
% 163.42/163.17 [205]~E(x2051,x2052)+E(f571(x2053,x2054,x2051,x2055),f571(x2053,x2054,x2052,x2055))
% 163.42/163.17 [206]~E(x2061,x2062)+E(f571(x2063,x2064,x2065,x2061),f571(x2063,x2064,x2065,x2062))
% 163.42/163.17 [207]~E(x2071,x2072)+E(f308(x2071),f308(x2072))
% 163.42/163.17 [208]~E(x2081,x2082)+E(f172(x2081),f172(x2082))
% 163.42/163.17 [209]~E(x2091,x2092)+E(f11(x2091,x2093),f11(x2092,x2093))
% 163.42/163.17 [210]~E(x2101,x2102)+E(f11(x2103,x2101),f11(x2103,x2102))
% 163.42/163.17 [211]~E(x2111,x2112)+E(f92(x2111,x2113,x2114),f92(x2112,x2113,x2114))
% 163.42/163.17 [212]~E(x2121,x2122)+E(f92(x2123,x2121,x2124),f92(x2123,x2122,x2124))
% 163.42/163.17 [213]~E(x2131,x2132)+E(f92(x2133,x2134,x2131),f92(x2133,x2134,x2132))
% 163.42/163.17 [214]~E(x2141,x2142)+E(f164(x2141),f164(x2142))
% 163.42/163.17 [215]~E(x2151,x2152)+E(f285(x2151,x2153),f285(x2152,x2153))
% 163.42/163.17 [216]~E(x2161,x2162)+E(f285(x2163,x2161),f285(x2163,x2162))
% 163.42/163.17 [217]~E(x2171,x2172)+E(f288(x2171,x2173,x2174),f288(x2172,x2173,x2174))
% 163.42/163.17 [218]~E(x2181,x2182)+E(f288(x2183,x2181,x2184),f288(x2183,x2182,x2184))
% 163.42/163.17 [219]~E(x2191,x2192)+E(f288(x2193,x2194,x2191),f288(x2193,x2194,x2192))
% 163.42/163.17 [220]~E(x2201,x2202)+E(f309(x2201,x2203,x2204),f309(x2202,x2203,x2204))
% 163.42/163.17 [221]~E(x2211,x2212)+E(f309(x2213,x2211,x2214),f309(x2213,x2212,x2214))
% 163.42/163.17 [222]~E(x2221,x2222)+E(f309(x2223,x2224,x2221),f309(x2223,x2224,x2222))
% 163.42/163.17 [223]~E(x2231,x2232)+E(f611(x2231,x2233,x2234,x2235,x2236,x2237,x2238,x2239),f611(x2232,x2233,x2234,x2235,x2236,x2237,x2238,x2239))
% 163.42/163.17 [224]~E(x2241,x2242)+E(f611(x2243,x2241,x2244,x2245,x2246,x2247,x2248,x2249),f611(x2243,x2242,x2244,x2245,x2246,x2247,x2248,x2249))
% 163.42/163.17 [225]~E(x2251,x2252)+E(f611(x2253,x2254,x2251,x2255,x2256,x2257,x2258,x2259),f611(x2253,x2254,x2252,x2255,x2256,x2257,x2258,x2259))
% 163.42/163.17 [226]~E(x2261,x2262)+E(f611(x2263,x2264,x2265,x2261,x2266,x2267,x2268,x2269),f611(x2263,x2264,x2265,x2262,x2266,x2267,x2268,x2269))
% 163.42/163.17 [227]~E(x2271,x2272)+E(f611(x2273,x2274,x2275,x2276,x2271,x2277,x2278,x2279),f611(x2273,x2274,x2275,x2276,x2272,x2277,x2278,x2279))
% 163.42/163.17 [228]~E(x2281,x2282)+E(f611(x2283,x2284,x2285,x2286,x2287,x2281,x2288,x2289),f611(x2283,x2284,x2285,x2286,x2287,x2282,x2288,x2289))
% 163.42/163.17 [229]~E(x2291,x2292)+E(f611(x2293,x2294,x2295,x2296,x2297,x2298,x2291,x2299),f611(x2293,x2294,x2295,x2296,x2297,x2298,x2292,x2299))
% 163.42/163.17 [230]~E(x2301,x2302)+E(f611(x2303,x2304,x2305,x2306,x2307,x2308,x2309,x2301),f611(x2303,x2304,x2305,x2306,x2307,x2308,x2309,x2302))
% 163.42/163.17 [231]~E(x2311,x2312)+E(f138(x2311),f138(x2312))
% 163.42/163.17 [232]~E(x2321,x2322)+E(f35(x2321),f35(x2322))
% 163.42/163.17 [233]~E(x2331,x2332)+E(f863(x2331,x2333,x2334),f863(x2332,x2333,x2334))
% 163.42/163.17 [234]~E(x2341,x2342)+E(f863(x2343,x2341,x2344),f863(x2343,x2342,x2344))
% 163.42/163.17 [235]~E(x2351,x2352)+E(f863(x2353,x2354,x2351),f863(x2353,x2354,x2352))
% 163.42/163.17 [236]~E(x2361,x2362)+E(f156(x2361,x2363,x2364,x2365),f156(x2362,x2363,x2364,x2365))
% 163.42/163.17 [237]~E(x2371,x2372)+E(f156(x2373,x2371,x2374,x2375),f156(x2373,x2372,x2374,x2375))
% 163.42/163.17 [238]~E(x2381,x2382)+E(f156(x2383,x2384,x2381,x2385),f156(x2383,x2384,x2382,x2385))
% 163.42/163.17 [239]~E(x2391,x2392)+E(f156(x2393,x2394,x2395,x2391),f156(x2393,x2394,x2395,x2392))
% 163.42/163.17 [240]~E(x2401,x2402)+E(f56(x2401),f56(x2402))
% 163.42/163.17 [241]~E(x2411,x2412)+E(f394(x2411,x2413,x2414),f394(x2412,x2413,x2414))
% 163.42/163.17 [242]~E(x2421,x2422)+E(f394(x2423,x2421,x2424),f394(x2423,x2422,x2424))
% 163.42/163.17 [243]~E(x2431,x2432)+E(f394(x2433,x2434,x2431),f394(x2433,x2434,x2432))
% 163.42/163.17 [244]~E(x2441,x2442)+E(f776(x2441,x2443,x2444,x2445),f776(x2442,x2443,x2444,x2445))
% 163.42/163.17 [245]~E(x2451,x2452)+E(f776(x2453,x2451,x2454,x2455),f776(x2453,x2452,x2454,x2455))
% 163.42/163.17 [246]~E(x2461,x2462)+E(f776(x2463,x2464,x2461,x2465),f776(x2463,x2464,x2462,x2465))
% 163.42/163.17 [247]~E(x2471,x2472)+E(f776(x2473,x2474,x2475,x2471),f776(x2473,x2474,x2475,x2472))
% 163.42/163.17 [248]~E(x2481,x2482)+E(f286(x2481),f286(x2482))
% 163.42/163.17 [249]~E(x2491,x2492)+E(f39(x2491,x2493),f39(x2492,x2493))
% 163.42/163.17 [250]~E(x2501,x2502)+E(f39(x2503,x2501),f39(x2503,x2502))
% 163.42/163.17 [251]~E(x2511,x2512)+E(f302(x2511,x2513,x2514),f302(x2512,x2513,x2514))
% 163.42/163.17 [252]~E(x2521,x2522)+E(f302(x2523,x2521,x2524),f302(x2523,x2522,x2524))
% 163.42/163.17 [253]~E(x2531,x2532)+E(f302(x2533,x2534,x2531),f302(x2533,x2534,x2532))
% 163.42/163.17 [254]~E(x2541,x2542)+E(f74(x2541,x2543,x2544,x2545,x2546),f74(x2542,x2543,x2544,x2545,x2546))
% 163.42/163.17 [255]~E(x2551,x2552)+E(f74(x2553,x2551,x2554,x2555,x2556),f74(x2553,x2552,x2554,x2555,x2556))
% 163.42/163.17 [256]~E(x2561,x2562)+E(f74(x2563,x2564,x2561,x2565,x2566),f74(x2563,x2564,x2562,x2565,x2566))
% 163.42/163.17 [257]~E(x2571,x2572)+E(f74(x2573,x2574,x2575,x2571,x2576),f74(x2573,x2574,x2575,x2572,x2576))
% 163.42/163.17 [258]~E(x2581,x2582)+E(f74(x2583,x2584,x2585,x2586,x2581),f74(x2583,x2584,x2585,x2586,x2582))
% 163.42/163.17 [259]~E(x2591,x2592)+E(f872(x2591,x2593,x2594,x2595,x2596),f872(x2592,x2593,x2594,x2595,x2596))
% 163.42/163.17 [260]~E(x2601,x2602)+E(f872(x2603,x2601,x2604,x2605,x2606),f872(x2603,x2602,x2604,x2605,x2606))
% 163.42/163.17 [261]~E(x2611,x2612)+E(f872(x2613,x2614,x2611,x2615,x2616),f872(x2613,x2614,x2612,x2615,x2616))
% 163.42/163.17 [262]~E(x2621,x2622)+E(f872(x2623,x2624,x2625,x2621,x2626),f872(x2623,x2624,x2625,x2622,x2626))
% 163.42/163.17 [263]~E(x2631,x2632)+E(f872(x2633,x2634,x2635,x2636,x2631),f872(x2633,x2634,x2635,x2636,x2632))
% 163.42/163.17 [264]~E(x2641,x2642)+E(f241(x2641),f241(x2642))
% 163.42/163.17 [265]~E(x2651,x2652)+E(f13(x2651,x2653),f13(x2652,x2653))
% 163.42/163.17 [266]~E(x2661,x2662)+E(f13(x2663,x2661),f13(x2663,x2662))
% 163.42/163.17 [267]~E(x2671,x2672)+E(f49(x2671,x2673),f49(x2672,x2673))
% 163.42/163.17 [268]~E(x2681,x2682)+E(f49(x2683,x2681),f49(x2683,x2682))
% 163.42/163.17 [269]~E(x2691,x2692)+E(f517(x2691,x2693,x2694),f517(x2692,x2693,x2694))
% 163.42/163.17 [270]~E(x2701,x2702)+E(f517(x2703,x2701,x2704),f517(x2703,x2702,x2704))
% 163.42/163.17 [271]~E(x2711,x2712)+E(f517(x2713,x2714,x2711),f517(x2713,x2714,x2712))
% 163.42/163.17 [272]~E(x2721,x2722)+E(f217(x2721,x2723),f217(x2722,x2723))
% 163.42/163.17 [273]~E(x2731,x2732)+E(f217(x2733,x2731),f217(x2733,x2732))
% 163.42/163.17 [274]~E(x2741,x2742)+E(f267(x2741,x2743),f267(x2742,x2743))
% 163.42/163.17 [275]~E(x2751,x2752)+E(f267(x2753,x2751),f267(x2753,x2752))
% 163.42/163.17 [276]~E(x2761,x2762)+E(f752(x2761,x2763,x2764),f752(x2762,x2763,x2764))
% 163.42/163.17 [277]~E(x2771,x2772)+E(f752(x2773,x2771,x2774),f752(x2773,x2772,x2774))
% 163.42/163.17 [278]~E(x2781,x2782)+E(f752(x2783,x2784,x2781),f752(x2783,x2784,x2782))
% 163.42/163.17 [279]~E(x2791,x2792)+E(f295(x2791,x2793,x2794),f295(x2792,x2793,x2794))
% 163.42/163.17 [280]~E(x2801,x2802)+E(f295(x2803,x2801,x2804),f295(x2803,x2802,x2804))
% 163.42/163.17 [281]~E(x2811,x2812)+E(f295(x2813,x2814,x2811),f295(x2813,x2814,x2812))
% 163.42/163.17 [282]~E(x2821,x2822)+E(f699(x2821,x2823),f699(x2822,x2823))
% 163.42/163.17 [283]~E(x2831,x2832)+E(f699(x2833,x2831),f699(x2833,x2832))
% 163.42/163.17 [284]~E(x2841,x2842)+E(f136(x2841,x2843),f136(x2842,x2843))
% 163.42/163.17 [285]~E(x2851,x2852)+E(f136(x2853,x2851),f136(x2853,x2852))
% 163.42/163.17 [286]~E(x2861,x2862)+E(f825(x2861,x2863,x2864,x2865),f825(x2862,x2863,x2864,x2865))
% 163.42/163.17 [287]~E(x2871,x2872)+E(f825(x2873,x2871,x2874,x2875),f825(x2873,x2872,x2874,x2875))
% 163.42/163.17 [288]~E(x2881,x2882)+E(f825(x2883,x2884,x2881,x2885),f825(x2883,x2884,x2882,x2885))
% 163.42/163.17 [289]~E(x2891,x2892)+E(f825(x2893,x2894,x2895,x2891),f825(x2893,x2894,x2895,x2892))
% 163.42/163.17 [290]~E(x2901,x2902)+E(f161(x2901,x2903),f161(x2902,x2903))
% 163.42/163.17 [291]~E(x2911,x2912)+E(f161(x2913,x2911),f161(x2913,x2912))
% 163.42/163.17 [292]~E(x2921,x2922)+E(f114(x2921,x2923),f114(x2922,x2923))
% 163.42/163.17 [293]~E(x2931,x2932)+E(f114(x2933,x2931),f114(x2933,x2932))
% 163.42/163.17 [294]~E(x2941,x2942)+E(f168(x2941),f168(x2942))
% 163.42/163.17 [295]~E(x2951,x2952)+E(f282(x2951),f282(x2952))
% 163.42/163.17 [296]~E(x2961,x2962)+E(f152(x2961,x2963),f152(x2962,x2963))
% 163.42/163.17 [297]~E(x2971,x2972)+E(f152(x2973,x2971),f152(x2973,x2972))
% 163.42/163.17 [298]~E(x2981,x2982)+E(f284(x2981,x2983,x2984),f284(x2982,x2983,x2984))
% 163.42/163.17 [299]~E(x2991,x2992)+E(f284(x2993,x2991,x2994),f284(x2993,x2992,x2994))
% 163.42/163.17 [300]~E(x3001,x3002)+E(f284(x3003,x3004,x3001),f284(x3003,x3004,x3002))
% 163.42/163.17 [301]~E(x3011,x3012)+E(f192(x3011),f192(x3012))
% 163.42/163.17 [302]~E(x3021,x3022)+E(f620(x3021,x3023,x3024),f620(x3022,x3023,x3024))
% 163.42/163.17 [303]~E(x3031,x3032)+E(f620(x3033,x3031,x3034),f620(x3033,x3032,x3034))
% 163.42/163.17 [304]~E(x3041,x3042)+E(f620(x3043,x3044,x3041),f620(x3043,x3044,x3042))
% 163.42/163.17 [305]~E(x3051,x3052)+E(f115(x3051),f115(x3052))
% 163.42/163.17 [306]~E(x3061,x3062)+E(f926(x3061,x3063),f926(x3062,x3063))
% 163.42/163.17 [307]~E(x3071,x3072)+E(f926(x3073,x3071),f926(x3073,x3072))
% 163.42/163.17 [308]~E(x3081,x3082)+E(f167(x3081),f167(x3082))
% 163.42/163.17 [309]~E(x3091,x3092)+E(f925(x3091,x3093),f925(x3092,x3093))
% 163.42/163.17 [310]~E(x3101,x3102)+E(f925(x3103,x3101),f925(x3103,x3102))
% 163.42/163.17 [311]~E(x3111,x3112)+E(f774(x3111,x3113,x3114,x3115,x3116),f774(x3112,x3113,x3114,x3115,x3116))
% 163.42/163.17 [312]~E(x3121,x3122)+E(f774(x3123,x3121,x3124,x3125,x3126),f774(x3123,x3122,x3124,x3125,x3126))
% 163.42/163.17 [313]~E(x3131,x3132)+E(f774(x3133,x3134,x3131,x3135,x3136),f774(x3133,x3134,x3132,x3135,x3136))
% 163.42/163.17 [314]~E(x3141,x3142)+E(f774(x3143,x3144,x3145,x3141,x3146),f774(x3143,x3144,x3145,x3142,x3146))
% 163.42/163.17 [315]~E(x3151,x3152)+E(f774(x3153,x3154,x3155,x3156,x3151),f774(x3153,x3154,x3155,x3156,x3152))
% 163.42/163.17 [316]~E(x3161,x3162)+E(f862(x3161,x3163,x3164),f862(x3162,x3163,x3164))
% 163.42/163.17 [317]~E(x3171,x3172)+E(f862(x3173,x3171,x3174),f862(x3173,x3172,x3174))
% 163.42/163.17 [318]~E(x3181,x3182)+E(f862(x3183,x3184,x3181),f862(x3183,x3184,x3182))
% 163.42/163.17 [319]~E(x3191,x3192)+E(f671(x3191,x3193,x3194,x3195),f671(x3192,x3193,x3194,x3195))
% 163.42/163.17 [320]~E(x3201,x3202)+E(f671(x3203,x3201,x3204,x3205),f671(x3203,x3202,x3204,x3205))
% 163.42/163.17 [321]~E(x3211,x3212)+E(f671(x3213,x3214,x3211,x3215),f671(x3213,x3214,x3212,x3215))
% 163.42/163.17 [322]~E(x3221,x3222)+E(f671(x3223,x3224,x3225,x3221),f671(x3223,x3224,x3225,x3222))
% 163.42/163.17 [323]~E(x3231,x3232)+E(f34(x3231),f34(x3232))
% 163.42/163.17 [324]~E(x3241,x3242)+E(f171(x3241),f171(x3242))
% 163.42/163.17 [325]~E(x3251,x3252)+E(f894(x3251,x3253,x3254),f894(x3252,x3253,x3254))
% 163.42/163.17 [326]~E(x3261,x3262)+E(f894(x3263,x3261,x3264),f894(x3263,x3262,x3264))
% 163.42/163.17 [327]~E(x3271,x3272)+E(f894(x3273,x3274,x3271),f894(x3273,x3274,x3272))
% 163.42/163.17 [328]~E(x3281,x3282)+E(f740(x3281,x3283),f740(x3282,x3283))
% 163.42/163.17 [329]~E(x3291,x3292)+E(f740(x3293,x3291),f740(x3293,x3292))
% 163.42/163.17 [330]~E(x3301,x3302)+E(f144(x3301,x3303),f144(x3302,x3303))
% 163.42/163.17 [331]~E(x3311,x3312)+E(f144(x3313,x3311),f144(x3313,x3312))
% 163.42/163.17 [332]~E(x3321,x3322)+E(f169(x3321,x3323,x3324),f169(x3322,x3323,x3324))
% 163.42/163.17 [333]~E(x3331,x3332)+E(f169(x3333,x3331,x3334),f169(x3333,x3332,x3334))
% 163.42/163.17 [334]~E(x3341,x3342)+E(f169(x3343,x3344,x3341),f169(x3343,x3344,x3342))
% 163.42/163.17 [335]~E(x3351,x3352)+E(f266(x3351),f266(x3352))
% 163.42/163.17 [336]~E(x3361,x3362)+E(f898(x3361,x3363,x3364,x3365),f898(x3362,x3363,x3364,x3365))
% 163.42/163.17 [337]~E(x3371,x3372)+E(f898(x3373,x3371,x3374,x3375),f898(x3373,x3372,x3374,x3375))
% 163.42/163.17 [338]~E(x3381,x3382)+E(f898(x3383,x3384,x3381,x3385),f898(x3383,x3384,x3382,x3385))
% 163.42/163.17 [339]~E(x3391,x3392)+E(f898(x3393,x3394,x3395,x3391),f898(x3393,x3394,x3395,x3392))
% 163.42/163.17 [340]~E(x3401,x3402)+E(f263(x3401,x3403),f263(x3402,x3403))
% 163.42/163.17 [341]~E(x3411,x3412)+E(f263(x3413,x3411),f263(x3413,x3412))
% 163.42/163.17 [342]~E(x3421,x3422)+E(f782(x3421,x3423,x3424,x3425),f782(x3422,x3423,x3424,x3425))
% 163.42/163.17 [343]~E(x3431,x3432)+E(f782(x3433,x3431,x3434,x3435),f782(x3433,x3432,x3434,x3435))
% 163.42/163.17 [344]~E(x3441,x3442)+E(f782(x3443,x3444,x3441,x3445),f782(x3443,x3444,x3442,x3445))
% 163.42/163.17 [345]~E(x3451,x3452)+E(f782(x3453,x3454,x3455,x3451),f782(x3453,x3454,x3455,x3452))
% 163.42/163.17 [346]~E(x3461,x3462)+E(f864(x3461,x3463,x3464),f864(x3462,x3463,x3464))
% 163.42/163.17 [347]~E(x3471,x3472)+E(f864(x3473,x3471,x3474),f864(x3473,x3472,x3474))
% 163.42/163.17 [348]~E(x3481,x3482)+E(f864(x3483,x3484,x3481),f864(x3483,x3484,x3482))
% 163.42/163.17 [349]~E(x3491,x3492)+E(f361(x3491,x3493,x3494,x3495),f361(x3492,x3493,x3494,x3495))
% 163.42/163.17 [350]~E(x3501,x3502)+E(f361(x3503,x3501,x3504,x3505),f361(x3503,x3502,x3504,x3505))
% 163.42/163.17 [351]~E(x3511,x3512)+E(f361(x3513,x3514,x3511,x3515),f361(x3513,x3514,x3512,x3515))
% 163.42/163.17 [352]~E(x3521,x3522)+E(f361(x3523,x3524,x3525,x3521),f361(x3523,x3524,x3525,x3522))
% 163.42/163.17 [353]~E(x3531,x3532)+E(f148(x3531,x3533,x3534),f148(x3532,x3533,x3534))
% 163.42/163.17 [354]~E(x3541,x3542)+E(f148(x3543,x3541,x3544),f148(x3543,x3542,x3544))
% 163.42/163.17 [355]~E(x3551,x3552)+E(f148(x3553,x3554,x3551),f148(x3553,x3554,x3552))
% 163.42/163.17 [356]~E(x3561,x3562)+E(f250(x3561,x3563),f250(x3562,x3563))
% 163.42/163.17 [357]~E(x3571,x3572)+E(f250(x3573,x3571),f250(x3573,x3572))
% 163.42/163.17 [358]~E(x3581,x3582)+E(f317(x3581,x3583),f317(x3582,x3583))
% 163.42/163.17 [359]~E(x3591,x3592)+E(f317(x3593,x3591),f317(x3593,x3592))
% 163.42/163.17 [360]~E(x3601,x3602)+E(f737(x3601,x3603,x3604,x3605,x3606),f737(x3602,x3603,x3604,x3605,x3606))
% 163.42/163.17 [361]~E(x3611,x3612)+E(f737(x3613,x3611,x3614,x3615,x3616),f737(x3613,x3612,x3614,x3615,x3616))
% 163.42/163.17 [362]~E(x3621,x3622)+E(f737(x3623,x3624,x3621,x3625,x3626),f737(x3623,x3624,x3622,x3625,x3626))
% 163.42/163.17 [363]~E(x3631,x3632)+E(f737(x3633,x3634,x3635,x3631,x3636),f737(x3633,x3634,x3635,x3632,x3636))
% 163.42/163.17 [364]~E(x3641,x3642)+E(f737(x3643,x3644,x3645,x3646,x3641),f737(x3643,x3644,x3645,x3646,x3642))
% 163.42/163.17 [365]~E(x3651,x3652)+E(f319(x3651,x3653),f319(x3652,x3653))
% 163.42/163.17 [366]~E(x3661,x3662)+E(f319(x3663,x3661),f319(x3663,x3662))
% 163.42/163.17 [367]~E(x3671,x3672)+E(f145(x3671,x3673),f145(x3672,x3673))
% 163.42/163.17 [368]~E(x3681,x3682)+E(f145(x3683,x3681),f145(x3683,x3682))
% 163.42/163.17 [369]~E(x3691,x3692)+E(f911(x3691,x3693,x3694,x3695,x3696),f911(x3692,x3693,x3694,x3695,x3696))
% 163.42/163.17 [370]~E(x3701,x3702)+E(f911(x3703,x3701,x3704,x3705,x3706),f911(x3703,x3702,x3704,x3705,x3706))
% 163.42/163.17 [371]~E(x3711,x3712)+E(f911(x3713,x3714,x3711,x3715,x3716),f911(x3713,x3714,x3712,x3715,x3716))
% 163.42/163.17 [372]~E(x3721,x3722)+E(f911(x3723,x3724,x3725,x3721,x3726),f911(x3723,x3724,x3725,x3722,x3726))
% 163.42/163.17 [373]~E(x3731,x3732)+E(f911(x3733,x3734,x3735,x3736,x3731),f911(x3733,x3734,x3735,x3736,x3732))
% 163.42/163.17 [374]~E(x3741,x3742)+E(f137(x3741),f137(x3742))
% 163.42/163.17 [375]~E(x3751,x3752)+E(f331(x3751),f331(x3752))
% 163.42/163.17 [376]~E(x3761,x3762)+E(f793(x3761,x3763),f793(x3762,x3763))
% 163.42/163.17 [377]~E(x3771,x3772)+E(f793(x3773,x3771),f793(x3773,x3772))
% 163.42/163.17 [378]~E(x3781,x3782)+E(f550(x3781,x3783,x3784,x3785,x3786),f550(x3782,x3783,x3784,x3785,x3786))
% 163.42/163.17 [379]~E(x3791,x3792)+E(f550(x3793,x3791,x3794,x3795,x3796),f550(x3793,x3792,x3794,x3795,x3796))
% 163.42/163.17 [380]~E(x3801,x3802)+E(f550(x3803,x3804,x3801,x3805,x3806),f550(x3803,x3804,x3802,x3805,x3806))
% 163.42/163.17 [381]~E(x3811,x3812)+E(f550(x3813,x3814,x3815,x3811,x3816),f550(x3813,x3814,x3815,x3812,x3816))
% 163.42/163.17 [382]~E(x3821,x3822)+E(f550(x3823,x3824,x3825,x3826,x3821),f550(x3823,x3824,x3825,x3826,x3822))
% 163.42/163.17 [383]~E(x3831,x3832)+E(f62(x3831,x3833),f62(x3832,x3833))
% 163.42/163.17 [384]~E(x3841,x3842)+E(f62(x3843,x3841),f62(x3843,x3842))
% 163.42/163.17 [385]~E(x3851,x3852)+E(f670(x3851,x3853,x3854,x3855),f670(x3852,x3853,x3854,x3855))
% 163.42/163.17 [386]~E(x3861,x3862)+E(f670(x3863,x3861,x3864,x3865),f670(x3863,x3862,x3864,x3865))
% 163.42/163.17 [387]~E(x3871,x3872)+E(f670(x3873,x3874,x3871,x3875),f670(x3873,x3874,x3872,x3875))
% 163.42/163.17 [388]~E(x3881,x3882)+E(f670(x3883,x3884,x3885,x3881),f670(x3883,x3884,x3885,x3882))
% 163.42/163.17 [389]~E(x3891,x3892)+E(f851(x3891,x3893,x3894,x3895,x3896,x3897,x3898,x3899),f851(x3892,x3893,x3894,x3895,x3896,x3897,x3898,x3899))
% 163.42/163.17 [390]~E(x3901,x3902)+E(f851(x3903,x3901,x3904,x3905,x3906,x3907,x3908,x3909),f851(x3903,x3902,x3904,x3905,x3906,x3907,x3908,x3909))
% 163.42/163.17 [391]~E(x3911,x3912)+E(f851(x3913,x3914,x3911,x3915,x3916,x3917,x3918,x3919),f851(x3913,x3914,x3912,x3915,x3916,x3917,x3918,x3919))
% 163.42/163.17 [392]~E(x3921,x3922)+E(f851(x3923,x3924,x3925,x3921,x3926,x3927,x3928,x3929),f851(x3923,x3924,x3925,x3922,x3926,x3927,x3928,x3929))
% 163.42/163.17 [393]~E(x3931,x3932)+E(f851(x3933,x3934,x3935,x3936,x3931,x3937,x3938,x3939),f851(x3933,x3934,x3935,x3936,x3932,x3937,x3938,x3939))
% 163.42/163.17 [394]~E(x3941,x3942)+E(f851(x3943,x3944,x3945,x3946,x3947,x3941,x3948,x3949),f851(x3943,x3944,x3945,x3946,x3947,x3942,x3948,x3949))
% 163.42/163.17 [395]~E(x3951,x3952)+E(f851(x3953,x3954,x3955,x3956,x3957,x3958,x3951,x3959),f851(x3953,x3954,x3955,x3956,x3957,x3958,x3952,x3959))
% 163.42/163.17 [396]~E(x3961,x3962)+E(f851(x3963,x3964,x3965,x3966,x3967,x3968,x3969,x3961),f851(x3963,x3964,x3965,x3966,x3967,x3968,x3969,x3962))
% 163.42/163.17 [397]~E(x3971,x3972)+E(f510(x3971,x3973,x3974,x3975),f510(x3972,x3973,x3974,x3975))
% 163.42/163.17 [398]~E(x3981,x3982)+E(f510(x3983,x3981,x3984,x3985),f510(x3983,x3982,x3984,x3985))
% 163.42/163.17 [399]~E(x3991,x3992)+E(f510(x3993,x3994,x3991,x3995),f510(x3993,x3994,x3992,x3995))
% 163.42/163.17 [400]~E(x4001,x4002)+E(f510(x4003,x4004,x4005,x4001),f510(x4003,x4004,x4005,x4002))
% 163.42/163.17 [401]~E(x4011,x4012)+E(f806(x4011),f806(x4012))
% 163.42/163.17 [402]~E(x4021,x4022)+E(f257(x4021,x4023,x4024,x4025,x4026,x4027),f257(x4022,x4023,x4024,x4025,x4026,x4027))
% 163.42/163.17 [403]~E(x4031,x4032)+E(f257(x4033,x4031,x4034,x4035,x4036,x4037),f257(x4033,x4032,x4034,x4035,x4036,x4037))
% 163.42/163.17 [404]~E(x4041,x4042)+E(f257(x4043,x4044,x4041,x4045,x4046,x4047),f257(x4043,x4044,x4042,x4045,x4046,x4047))
% 163.42/163.17 [405]~E(x4051,x4052)+E(f257(x4053,x4054,x4055,x4051,x4056,x4057),f257(x4053,x4054,x4055,x4052,x4056,x4057))
% 163.42/163.17 [406]~E(x4061,x4062)+E(f257(x4063,x4064,x4065,x4066,x4061,x4067),f257(x4063,x4064,x4065,x4066,x4062,x4067))
% 163.42/163.17 [407]~E(x4071,x4072)+E(f257(x4073,x4074,x4075,x4076,x4077,x4071),f257(x4073,x4074,x4075,x4076,x4077,x4072))
% 163.42/163.17 [408]~E(x4081,x4082)+E(f36(x4081,x4083),f36(x4082,x4083))
% 163.42/163.17 [409]~E(x4091,x4092)+E(f36(x4093,x4091),f36(x4093,x4092))
% 163.42/163.17 [410]~E(x4101,x4102)+E(f16(x4101,x4103),f16(x4102,x4103))
% 163.42/163.17 [411]~E(x4111,x4112)+E(f16(x4113,x4111),f16(x4113,x4112))
% 163.42/163.17 [412]~E(x4121,x4122)+E(f119(x4121),f119(x4122))
% 163.42/163.17 [413]~E(x4131,x4132)+E(f120(x4131,x4133),f120(x4132,x4133))
% 163.42/163.17 [414]~E(x4141,x4142)+E(f120(x4143,x4141),f120(x4143,x4142))
% 163.42/163.17 [415]~E(x4151,x4152)+E(f84(x4151,x4153),f84(x4152,x4153))
% 163.42/163.17 [416]~E(x4161,x4162)+E(f84(x4163,x4161),f84(x4163,x4162))
% 163.42/163.17 [417]~E(x4171,x4172)+E(f210(x4171,x4173,x4174,x4175),f210(x4172,x4173,x4174,x4175))
% 163.42/163.17 [418]~E(x4181,x4182)+E(f210(x4183,x4181,x4184,x4185),f210(x4183,x4182,x4184,x4185))
% 163.42/163.17 [419]~E(x4191,x4192)+E(f210(x4193,x4194,x4191,x4195),f210(x4193,x4194,x4192,x4195))
% 163.42/163.17 [420]~E(x4201,x4202)+E(f210(x4203,x4204,x4205,x4201),f210(x4203,x4204,x4205,x4202))
% 163.42/163.17 [421]~E(x4211,x4212)+E(f347(x4211,x4213,x4214,x4215),f347(x4212,x4213,x4214,x4215))
% 163.42/163.17 [422]~E(x4221,x4222)+E(f347(x4223,x4221,x4224,x4225),f347(x4223,x4222,x4224,x4225))
% 163.42/163.17 [423]~E(x4231,x4232)+E(f347(x4233,x4234,x4231,x4235),f347(x4233,x4234,x4232,x4235))
% 163.42/163.17 [424]~E(x4241,x4242)+E(f347(x4243,x4244,x4245,x4241),f347(x4243,x4244,x4245,x4242))
% 163.42/163.17 [425]~E(x4251,x4252)+E(f283(x4251,x4253),f283(x4252,x4253))
% 163.42/163.17 [426]~E(x4261,x4262)+E(f283(x4263,x4261),f283(x4263,x4262))
% 163.42/163.17 [427]~E(x4271,x4272)+E(f142(x4271,x4273,x4274,x4275),f142(x4272,x4273,x4274,x4275))
% 163.42/163.17 [428]~E(x4281,x4282)+E(f142(x4283,x4281,x4284,x4285),f142(x4283,x4282,x4284,x4285))
% 163.42/163.17 [429]~E(x4291,x4292)+E(f142(x4293,x4294,x4291,x4295),f142(x4293,x4294,x4292,x4295))
% 163.42/163.17 [430]~E(x4301,x4302)+E(f142(x4303,x4304,x4305,x4301),f142(x4303,x4304,x4305,x4302))
% 163.42/163.17 [431]~E(x4311,x4312)+E(f780(x4311,x4313,x4314,x4315,x4316,x4317),f780(x4312,x4313,x4314,x4315,x4316,x4317))
% 163.42/163.17 [432]~E(x4321,x4322)+E(f780(x4323,x4321,x4324,x4325,x4326,x4327),f780(x4323,x4322,x4324,x4325,x4326,x4327))
% 163.42/163.17 [433]~E(x4331,x4332)+E(f780(x4333,x4334,x4331,x4335,x4336,x4337),f780(x4333,x4334,x4332,x4335,x4336,x4337))
% 163.42/163.17 [434]~E(x4341,x4342)+E(f780(x4343,x4344,x4345,x4341,x4346,x4347),f780(x4343,x4344,x4345,x4342,x4346,x4347))
% 163.42/163.17 [435]~E(x4351,x4352)+E(f780(x4353,x4354,x4355,x4356,x4351,x4357),f780(x4353,x4354,x4355,x4356,x4352,x4357))
% 163.42/163.17 [436]~E(x4361,x4362)+E(f780(x4363,x4364,x4365,x4366,x4367,x4361),f780(x4363,x4364,x4365,x4366,x4367,x4362))
% 163.42/163.17 [437]~E(x4371,x4372)+E(f181(x4371,x4373),f181(x4372,x4373))
% 163.42/163.17 [438]~E(x4381,x4382)+E(f181(x4383,x4381),f181(x4383,x4382))
% 163.42/163.17 [439]~E(x4391,x4392)+E(f178(x4391,x4393),f178(x4392,x4393))
% 163.42/163.17 [440]~E(x4401,x4402)+E(f178(x4403,x4401),f178(x4403,x4402))
% 163.42/163.17 [441]~E(x4411,x4412)+E(f17(x4411,x4413),f17(x4412,x4413))
% 163.42/163.17 [442]~E(x4421,x4422)+E(f17(x4423,x4421),f17(x4423,x4422))
% 163.42/163.17 [443]~E(x4431,x4432)+E(f262(x4431,x4433),f262(x4432,x4433))
% 163.42/163.17 [444]~E(x4441,x4442)+E(f262(x4443,x4441),f262(x4443,x4442))
% 163.42/163.17 [445]~E(x4451,x4452)+E(f65(x4451,x4453,x4454,x4455,x4456),f65(x4452,x4453,x4454,x4455,x4456))
% 163.42/163.17 [446]~E(x4461,x4462)+E(f65(x4463,x4461,x4464,x4465,x4466),f65(x4463,x4462,x4464,x4465,x4466))
% 163.42/163.17 [447]~E(x4471,x4472)+E(f65(x4473,x4474,x4471,x4475,x4476),f65(x4473,x4474,x4472,x4475,x4476))
% 163.42/163.17 [448]~E(x4481,x4482)+E(f65(x4483,x4484,x4485,x4481,x4486),f65(x4483,x4484,x4485,x4482,x4486))
% 163.42/163.17 [449]~E(x4491,x4492)+E(f65(x4493,x4494,x4495,x4496,x4491),f65(x4493,x4494,x4495,x4496,x4492))
% 163.42/163.17 [450]~E(x4501,x4502)+E(f853(x4501,x4503,x4504,x4505,x4506,x4507),f853(x4502,x4503,x4504,x4505,x4506,x4507))
% 163.42/163.17 [451]~E(x4511,x4512)+E(f853(x4513,x4511,x4514,x4515,x4516,x4517),f853(x4513,x4512,x4514,x4515,x4516,x4517))
% 163.42/163.17 [452]~E(x4521,x4522)+E(f853(x4523,x4524,x4521,x4525,x4526,x4527),f853(x4523,x4524,x4522,x4525,x4526,x4527))
% 163.42/163.17 [453]~E(x4531,x4532)+E(f853(x4533,x4534,x4535,x4531,x4536,x4537),f853(x4533,x4534,x4535,x4532,x4536,x4537))
% 163.42/163.17 [454]~E(x4541,x4542)+E(f853(x4543,x4544,x4545,x4546,x4541,x4547),f853(x4543,x4544,x4545,x4546,x4542,x4547))
% 163.42/163.17 [455]~E(x4551,x4552)+E(f853(x4553,x4554,x4555,x4556,x4557,x4551),f853(x4553,x4554,x4555,x4556,x4557,x4552))
% 163.42/163.17 [456]~E(x4561,x4562)+E(f184(x4561,x4563,x4564),f184(x4562,x4563,x4564))
% 163.42/163.17 [457]~E(x4571,x4572)+E(f184(x4573,x4571,x4574),f184(x4573,x4572,x4574))
% 163.42/163.17 [458]~E(x4581,x4582)+E(f184(x4583,x4584,x4581),f184(x4583,x4584,x4582))
% 163.42/163.17 [459]~E(x4591,x4592)+E(f91(x4591,x4593,x4594,x4595),f91(x4592,x4593,x4594,x4595))
% 163.42/163.17 [460]~E(x4601,x4602)+E(f91(x4603,x4601,x4604,x4605),f91(x4603,x4602,x4604,x4605))
% 163.42/163.17 [461]~E(x4611,x4612)+E(f91(x4613,x4614,x4611,x4615),f91(x4613,x4614,x4612,x4615))
% 163.42/163.17 [462]~E(x4621,x4622)+E(f91(x4623,x4624,x4625,x4621),f91(x4623,x4624,x4625,x4622))
% 163.42/163.17 [463]~E(x4631,x4632)+E(f834(x4631,x4633),f834(x4632,x4633))
% 163.42/163.17 [464]~E(x4641,x4642)+E(f834(x4643,x4641),f834(x4643,x4642))
% 163.42/163.17 [465]~E(x4651,x4652)+E(f875(x4651,x4653,x4654,x4655,x4656,x4657),f875(x4652,x4653,x4654,x4655,x4656,x4657))
% 163.42/163.17 [466]~E(x4661,x4662)+E(f875(x4663,x4661,x4664,x4665,x4666,x4667),f875(x4663,x4662,x4664,x4665,x4666,x4667))
% 163.42/163.17 [467]~E(x4671,x4672)+E(f875(x4673,x4674,x4671,x4675,x4676,x4677),f875(x4673,x4674,x4672,x4675,x4676,x4677))
% 163.42/163.17 [468]~E(x4681,x4682)+E(f875(x4683,x4684,x4685,x4681,x4686,x4687),f875(x4683,x4684,x4685,x4682,x4686,x4687))
% 163.42/163.17 [469]~E(x4691,x4692)+E(f875(x4693,x4694,x4695,x4696,x4691,x4697),f875(x4693,x4694,x4695,x4696,x4692,x4697))
% 163.42/163.17 [470]~E(x4701,x4702)+E(f875(x4703,x4704,x4705,x4706,x4707,x4701),f875(x4703,x4704,x4705,x4706,x4707,x4702))
% 163.42/163.17 [471]~E(x4711,x4712)+E(f751(x4711,x4713,x4714),f751(x4712,x4713,x4714))
% 163.42/163.17 [472]~E(x4721,x4722)+E(f751(x4723,x4721,x4724),f751(x4723,x4722,x4724))
% 163.42/163.17 [473]~E(x4731,x4732)+E(f751(x4733,x4734,x4731),f751(x4733,x4734,x4732))
% 163.42/163.17 [474]~E(x4741,x4742)+E(f357(x4741,x4743,x4744),f357(x4742,x4743,x4744))
% 163.42/163.17 [475]~E(x4751,x4752)+E(f357(x4753,x4751,x4754),f357(x4753,x4752,x4754))
% 163.42/163.17 [476]~E(x4761,x4762)+E(f357(x4763,x4764,x4761),f357(x4763,x4764,x4762))
% 163.42/163.17 [477]~E(x4771,x4772)+E(f472(x4771,x4773),f472(x4772,x4773))
% 163.42/163.17 [478]~E(x4781,x4782)+E(f472(x4783,x4781),f472(x4783,x4782))
% 163.42/163.17 [479]~E(x4791,x4792)+E(f480(x4791,x4793,x4794,x4795),f480(x4792,x4793,x4794,x4795))
% 163.42/163.17 [480]~E(x4801,x4802)+E(f480(x4803,x4801,x4804,x4805),f480(x4803,x4802,x4804,x4805))
% 163.42/163.17 [481]~E(x4811,x4812)+E(f480(x4813,x4814,x4811,x4815),f480(x4813,x4814,x4812,x4815))
% 163.42/163.17 [482]~E(x4821,x4822)+E(f480(x4823,x4824,x4825,x4821),f480(x4823,x4824,x4825,x4822))
% 163.42/163.17 [483]~E(x4831,x4832)+E(f183(x4831,x4833),f183(x4832,x4833))
% 163.42/163.17 [484]~E(x4841,x4842)+E(f183(x4843,x4841),f183(x4843,x4842))
% 163.42/163.17 [485]~E(x4851,x4852)+E(f165(x4851),f165(x4852))
% 163.42/163.17 [486]~E(x4861,x4862)+E(f773(x4861,x4863,x4864),f773(x4862,x4863,x4864))
% 163.42/163.17 [487]~E(x4871,x4872)+E(f773(x4873,x4871,x4874),f773(x4873,x4872,x4874))
% 163.42/163.17 [488]~E(x4881,x4882)+E(f773(x4883,x4884,x4881),f773(x4883,x4884,x4882))
% 163.42/163.17 [489]~E(x4891,x4892)+E(f305(x4891,x4893,x4894),f305(x4892,x4893,x4894))
% 163.42/163.17 [490]~E(x4901,x4902)+E(f305(x4903,x4901,x4904),f305(x4903,x4902,x4904))
% 163.42/163.17 [491]~E(x4911,x4912)+E(f305(x4913,x4914,x4911),f305(x4913,x4914,x4912))
% 163.42/163.17 [492]~E(x4921,x4922)+E(f128(x4921,x4923),f128(x4922,x4923))
% 163.42/163.17 [493]~E(x4931,x4932)+E(f128(x4933,x4931),f128(x4933,x4932))
% 163.42/163.17 [494]~E(x4941,x4942)+E(f641(x4941,x4943,x4944),f641(x4942,x4943,x4944))
% 163.42/163.17 [495]~E(x4951,x4952)+E(f641(x4953,x4951,x4954),f641(x4953,x4952,x4954))
% 163.42/163.17 [496]~E(x4961,x4962)+E(f641(x4963,x4964,x4961),f641(x4963,x4964,x4962))
% 163.42/163.17 [497]~E(x4971,x4972)+E(f522(x4971,x4973,x4974),f522(x4972,x4973,x4974))
% 163.42/163.17 [498]~E(x4981,x4982)+E(f522(x4983,x4981,x4984),f522(x4983,x4982,x4984))
% 163.42/163.17 [499]~E(x4991,x4992)+E(f522(x4993,x4994,x4991),f522(x4993,x4994,x4992))
% 163.42/163.17 [500]~E(x5001,x5002)+E(f46(x5001,x5003),f46(x5002,x5003))
% 163.42/163.17 [501]~E(x5011,x5012)+E(f46(x5013,x5011),f46(x5013,x5012))
% 163.42/163.17 [502]~E(x5021,x5022)+E(f375(x5021,x5023,x5024),f375(x5022,x5023,x5024))
% 163.42/163.17 [503]~E(x5031,x5032)+E(f375(x5033,x5031,x5034),f375(x5033,x5032,x5034))
% 163.42/163.17 [504]~E(x5041,x5042)+E(f375(x5043,x5044,x5041),f375(x5043,x5044,x5042))
% 163.42/163.17 [505]~E(x5051,x5052)+E(f268(x5051,x5053),f268(x5052,x5053))
% 163.42/163.17 [506]~E(x5061,x5062)+E(f268(x5063,x5061),f268(x5063,x5062))
% 163.42/163.17 [507]~E(x5071,x5072)+E(f858(x5071,x5073,x5074),f858(x5072,x5073,x5074))
% 163.42/163.17 [508]~E(x5081,x5082)+E(f858(x5083,x5081,x5084),f858(x5083,x5082,x5084))
% 163.42/163.17 [509]~E(x5091,x5092)+E(f858(x5093,x5094,x5091),f858(x5093,x5094,x5092))
% 163.42/163.17 [510]~E(x5101,x5102)+E(f399(x5101,x5103,x5104,x5105),f399(x5102,x5103,x5104,x5105))
% 163.42/163.17 [511]~E(x5111,x5112)+E(f399(x5113,x5111,x5114,x5115),f399(x5113,x5112,x5114,x5115))
% 163.42/163.17 [512]~E(x5121,x5122)+E(f399(x5123,x5124,x5121,x5125),f399(x5123,x5124,x5122,x5125))
% 163.42/163.17 [513]~E(x5131,x5132)+E(f399(x5133,x5134,x5135,x5131),f399(x5133,x5134,x5135,x5132))
% 163.42/163.17 [514]~E(x5141,x5142)+E(f175(x5141),f175(x5142))
% 163.42/163.17 [515]~E(x5151,x5152)+E(f495(x5151,x5153,x5154,x5155),f495(x5152,x5153,x5154,x5155))
% 163.42/163.17 [516]~E(x5161,x5162)+E(f495(x5163,x5161,x5164,x5165),f495(x5163,x5162,x5164,x5165))
% 163.42/163.17 [517]~E(x5171,x5172)+E(f495(x5173,x5174,x5171,x5175),f495(x5173,x5174,x5172,x5175))
% 163.42/163.17 [518]~E(x5181,x5182)+E(f495(x5183,x5184,x5185,x5181),f495(x5183,x5184,x5185,x5182))
% 163.42/163.17 [519]~E(x5191,x5192)+E(f179(x5191,x5193),f179(x5192,x5193))
% 163.42/163.17 [520]~E(x5201,x5202)+E(f179(x5203,x5201),f179(x5203,x5202))
% 163.42/163.17 [521]~E(x5211,x5212)+E(f255(x5211,x5213),f255(x5212,x5213))
% 163.42/163.17 [522]~E(x5221,x5222)+E(f255(x5223,x5221),f255(x5223,x5222))
% 163.42/163.17 [523]~E(x5231,x5232)+E(f727(x5231,x5233),f727(x5232,x5233))
% 163.42/163.17 [524]~E(x5241,x5242)+E(f727(x5243,x5241),f727(x5243,x5242))
% 163.42/163.17 [525]~E(x5251,x5252)+E(f642(x5251,x5253),f642(x5252,x5253))
% 163.42/163.17 [526]~E(x5261,x5262)+E(f642(x5263,x5261),f642(x5263,x5262))
% 163.42/163.17 [527]~E(x5271,x5272)+E(f313(x5271),f313(x5272))
% 163.42/163.17 [528]~E(x5281,x5282)+E(f584(x5281,x5283,x5284,x5285),f584(x5282,x5283,x5284,x5285))
% 163.42/163.17 [529]~E(x5291,x5292)+E(f584(x5293,x5291,x5294,x5295),f584(x5293,x5292,x5294,x5295))
% 163.42/163.17 [530]~E(x5301,x5302)+E(f584(x5303,x5304,x5301,x5305),f584(x5303,x5304,x5302,x5305))
% 163.42/163.17 [531]~E(x5311,x5312)+E(f584(x5313,x5314,x5315,x5311),f584(x5313,x5314,x5315,x5312))
% 163.42/163.17 [532]~E(x5321,x5322)+E(f147(x5321,x5323),f147(x5322,x5323))
% 163.42/163.17 [533]~E(x5331,x5332)+E(f147(x5333,x5331),f147(x5333,x5332))
% 163.42/163.17 [534]~E(x5341,x5342)+E(f890(x5341,x5343,x5344),f890(x5342,x5343,x5344))
% 163.42/163.17 [535]~E(x5351,x5352)+E(f890(x5353,x5351,x5354),f890(x5353,x5352,x5354))
% 163.42/163.17 [536]~E(x5361,x5362)+E(f890(x5363,x5364,x5361),f890(x5363,x5364,x5362))
% 163.42/163.17 [537]~E(x5371,x5372)+E(f141(x5371),f141(x5372))
% 163.42/163.17 [538]~E(x5381,x5382)+E(f150(x5381,x5383,x5384,x5385),f150(x5382,x5383,x5384,x5385))
% 163.42/163.17 [539]~E(x5391,x5392)+E(f150(x5393,x5391,x5394,x5395),f150(x5393,x5392,x5394,x5395))
% 163.42/163.17 [540]~E(x5401,x5402)+E(f150(x5403,x5404,x5401,x5405),f150(x5403,x5404,x5402,x5405))
% 163.42/163.17 [541]~E(x5411,x5412)+E(f150(x5413,x5414,x5415,x5411),f150(x5413,x5414,x5415,x5412))
% 163.42/163.17 [542]~E(x5421,x5422)+E(f14(x5421,x5423,x5424),f14(x5422,x5423,x5424))
% 163.42/163.17 [543]~E(x5431,x5432)+E(f14(x5433,x5431,x5434),f14(x5433,x5432,x5434))
% 163.42/163.17 [544]~E(x5441,x5442)+E(f14(x5443,x5444,x5441),f14(x5443,x5444,x5442))
% 163.42/163.17 [545]~E(x5451,x5452)+E(f272(x5451,x5453,x5454,x5455),f272(x5452,x5453,x5454,x5455))
% 163.42/163.17 [546]~E(x5461,x5462)+E(f272(x5463,x5461,x5464,x5465),f272(x5463,x5462,x5464,x5465))
% 163.42/163.17 [547]~E(x5471,x5472)+E(f272(x5473,x5474,x5471,x5475),f272(x5473,x5474,x5472,x5475))
% 163.42/163.17 [548]~E(x5481,x5482)+E(f272(x5483,x5484,x5485,x5481),f272(x5483,x5484,x5485,x5482))
% 163.42/163.17 [549]~E(x5491,x5492)+E(f618(x5491,x5493,x5494),f618(x5492,x5493,x5494))
% 163.42/163.17 [550]~E(x5501,x5502)+E(f618(x5503,x5501,x5504),f618(x5503,x5502,x5504))
% 163.42/163.17 [551]~E(x5511,x5512)+E(f618(x5513,x5514,x5511),f618(x5513,x5514,x5512))
% 163.42/163.17 [552]~E(x5521,x5522)+E(f673(x5521,x5523),f673(x5522,x5523))
% 163.42/163.17 [553]~E(x5531,x5532)+E(f673(x5533,x5531),f673(x5533,x5532))
% 163.42/163.17 [554]~E(x5541,x5542)+E(f81(x5541,x5543),f81(x5542,x5543))
% 163.42/163.17 [555]~E(x5551,x5552)+E(f81(x5553,x5551),f81(x5553,x5552))
% 163.42/163.17 [556]~E(x5561,x5562)+E(f47(x5561,x5563),f47(x5562,x5563))
% 163.42/163.17 [557]~E(x5571,x5572)+E(f47(x5573,x5571),f47(x5573,x5572))
% 163.42/163.17 [558]~E(x5581,x5582)+E(f247(x5581,x5583),f247(x5582,x5583))
% 163.42/163.17 [559]~E(x5591,x5592)+E(f247(x5593,x5591),f247(x5593,x5592))
% 163.42/163.17 [560]~E(x5601,x5602)+E(f748(x5601,x5603,x5604,x5605,x5606,x5607,x5608),f748(x5602,x5603,x5604,x5605,x5606,x5607,x5608))
% 163.42/163.17 [561]~E(x5611,x5612)+E(f748(x5613,x5611,x5614,x5615,x5616,x5617,x5618),f748(x5613,x5612,x5614,x5615,x5616,x5617,x5618))
% 163.42/163.17 [562]~E(x5621,x5622)+E(f748(x5623,x5624,x5621,x5625,x5626,x5627,x5628),f748(x5623,x5624,x5622,x5625,x5626,x5627,x5628))
% 163.42/163.17 [563]~E(x5631,x5632)+E(f748(x5633,x5634,x5635,x5631,x5636,x5637,x5638),f748(x5633,x5634,x5635,x5632,x5636,x5637,x5638))
% 163.42/163.17 [564]~E(x5641,x5642)+E(f748(x5643,x5644,x5645,x5646,x5641,x5647,x5648),f748(x5643,x5644,x5645,x5646,x5642,x5647,x5648))
% 163.42/163.17 [565]~E(x5651,x5652)+E(f748(x5653,x5654,x5655,x5656,x5657,x5651,x5658),f748(x5653,x5654,x5655,x5656,x5657,x5652,x5658))
% 163.42/163.17 [566]~E(x5661,x5662)+E(f748(x5663,x5664,x5665,x5666,x5667,x5668,x5661),f748(x5663,x5664,x5665,x5666,x5667,x5668,x5662))
% 163.42/163.17 [567]~E(x5671,x5672)+E(f85(x5671,x5673),f85(x5672,x5673))
% 163.42/163.17 [568]~E(x5681,x5682)+E(f85(x5683,x5681),f85(x5683,x5682))
% 163.42/163.17 [569]~E(x5691,x5692)+E(f488(x5691,x5693,x5694,x5695,x5696,x5697,x5698),f488(x5692,x5693,x5694,x5695,x5696,x5697,x5698))
% 163.42/163.17 [570]~E(x5701,x5702)+E(f488(x5703,x5701,x5704,x5705,x5706,x5707,x5708),f488(x5703,x5702,x5704,x5705,x5706,x5707,x5708))
% 163.42/163.17 [571]~E(x5711,x5712)+E(f488(x5713,x5714,x5711,x5715,x5716,x5717,x5718),f488(x5713,x5714,x5712,x5715,x5716,x5717,x5718))
% 163.42/163.17 [572]~E(x5721,x5722)+E(f488(x5723,x5724,x5725,x5721,x5726,x5727,x5728),f488(x5723,x5724,x5725,x5722,x5726,x5727,x5728))
% 163.42/163.17 [573]~E(x5731,x5732)+E(f488(x5733,x5734,x5735,x5736,x5731,x5737,x5738),f488(x5733,x5734,x5735,x5736,x5732,x5737,x5738))
% 163.42/163.17 [574]~E(x5741,x5742)+E(f488(x5743,x5744,x5745,x5746,x5747,x5741,x5748),f488(x5743,x5744,x5745,x5746,x5747,x5742,x5748))
% 163.42/163.17 [575]~E(x5751,x5752)+E(f488(x5753,x5754,x5755,x5756,x5757,x5758,x5751),f488(x5753,x5754,x5755,x5756,x5757,x5758,x5752))
% 163.42/163.17 [576]~E(x5761,x5762)+E(f828(x5761,x5763,x5764),f828(x5762,x5763,x5764))
% 163.42/163.17 [577]~E(x5771,x5772)+E(f828(x5773,x5771,x5774),f828(x5773,x5772,x5774))
% 163.42/163.17 [578]~E(x5781,x5782)+E(f828(x5783,x5784,x5781),f828(x5783,x5784,x5782))
% 163.42/163.17 [579]~E(x5791,x5792)+E(f469(x5791,x5793,x5794,x5795),f469(x5792,x5793,x5794,x5795))
% 163.42/163.17 [580]~E(x5801,x5802)+E(f469(x5803,x5801,x5804,x5805),f469(x5803,x5802,x5804,x5805))
% 163.42/163.17 [581]~E(x5811,x5812)+E(f469(x5813,x5814,x5811,x5815),f469(x5813,x5814,x5812,x5815))
% 163.42/163.17 [582]~E(x5821,x5822)+E(f469(x5823,x5824,x5825,x5821),f469(x5823,x5824,x5825,x5822))
% 163.42/163.17 [583]~E(x5831,x5832)+E(f578(x5831,x5833,x5834,x5835),f578(x5832,x5833,x5834,x5835))
% 163.42/163.17 [584]~E(x5841,x5842)+E(f578(x5843,x5841,x5844,x5845),f578(x5843,x5842,x5844,x5845))
% 163.42/163.17 [585]~E(x5851,x5852)+E(f578(x5853,x5854,x5851,x5855),f578(x5853,x5854,x5852,x5855))
% 163.42/163.17 [586]~E(x5861,x5862)+E(f578(x5863,x5864,x5865,x5861),f578(x5863,x5864,x5865,x5862))
% 163.42/163.17 [587]~E(x5871,x5872)+E(f626(x5871,x5873,x5874,x5875,x5876),f626(x5872,x5873,x5874,x5875,x5876))
% 163.42/163.17 [588]~E(x5881,x5882)+E(f626(x5883,x5881,x5884,x5885,x5886),f626(x5883,x5882,x5884,x5885,x5886))
% 163.42/163.17 [589]~E(x5891,x5892)+E(f626(x5893,x5894,x5891,x5895,x5896),f626(x5893,x5894,x5892,x5895,x5896))
% 163.42/163.17 [590]~E(x5901,x5902)+E(f626(x5903,x5904,x5905,x5901,x5906),f626(x5903,x5904,x5905,x5902,x5906))
% 163.42/163.17 [591]~E(x5911,x5912)+E(f626(x5913,x5914,x5915,x5916,x5911),f626(x5913,x5914,x5915,x5916,x5912))
% 163.42/163.17 [592]~E(x5921,x5922)+E(f159(x5921,x5923),f159(x5922,x5923))
% 163.42/163.17 [593]~E(x5931,x5932)+E(f159(x5933,x5931),f159(x5933,x5932))
% 163.42/163.17 [594]~E(x5941,x5942)+E(f570(x5941,x5943,x5944,x5945),f570(x5942,x5943,x5944,x5945))
% 163.42/163.17 [595]~E(x5951,x5952)+E(f570(x5953,x5951,x5954,x5955),f570(x5953,x5952,x5954,x5955))
% 163.42/163.17 [596]~E(x5961,x5962)+E(f570(x5963,x5964,x5961,x5965),f570(x5963,x5964,x5962,x5965))
% 163.42/163.17 [597]~E(x5971,x5972)+E(f570(x5973,x5974,x5975,x5971),f570(x5973,x5974,x5975,x5972))
% 163.42/163.17 [598]~E(x5981,x5982)+E(f15(x5981,x5983,x5984),f15(x5982,x5983,x5984))
% 163.42/163.17 [599]~E(x5991,x5992)+E(f15(x5993,x5991,x5994),f15(x5993,x5992,x5994))
% 163.42/163.17 [600]~E(x6001,x6002)+E(f15(x6003,x6004,x6001),f15(x6003,x6004,x6002))
% 163.42/163.17 [601]~E(x6011,x6012)+E(f90(x6011),f90(x6012))
% 163.42/163.17 [602]~E(x6021,x6022)+E(f304(x6021,x6023,x6024),f304(x6022,x6023,x6024))
% 163.42/163.17 [603]~E(x6031,x6032)+E(f304(x6033,x6031,x6034),f304(x6033,x6032,x6034))
% 163.42/163.17 [604]~E(x6041,x6042)+E(f304(x6043,x6044,x6041),f304(x6043,x6044,x6042))
% 163.42/163.17 [605]~E(x6051,x6052)+E(f216(x6051,x6053),f216(x6052,x6053))
% 163.42/163.17 [606]~E(x6061,x6062)+E(f216(x6063,x6061),f216(x6063,x6062))
% 163.42/163.17 [607]~E(x6071,x6072)+E(f906(x6071,x6073),f906(x6072,x6073))
% 163.42/163.17 [608]~E(x6081,x6082)+E(f906(x6083,x6081),f906(x6083,x6082))
% 163.42/163.17 [609]~E(x6091,x6092)+E(f362(x6091,x6093,x6094,x6095),f362(x6092,x6093,x6094,x6095))
% 163.42/163.17 [610]~E(x6101,x6102)+E(f362(x6103,x6101,x6104,x6105),f362(x6103,x6102,x6104,x6105))
% 163.42/163.17 [611]~E(x6111,x6112)+E(f362(x6113,x6114,x6111,x6115),f362(x6113,x6114,x6112,x6115))
% 163.42/163.17 [612]~E(x6121,x6122)+E(f362(x6123,x6124,x6125,x6121),f362(x6123,x6124,x6125,x6122))
% 163.42/163.17 [613]~E(x6131,x6132)+E(f125(x6131,x6133),f125(x6132,x6133))
% 163.42/163.17 [614]~E(x6141,x6142)+E(f125(x6143,x6141),f125(x6143,x6142))
% 163.42/163.17 [615]~E(x6151,x6152)+E(f126(x6151,x6153,x6154),f126(x6152,x6153,x6154))
% 163.42/163.17 [616]~E(x6161,x6162)+E(f126(x6163,x6161,x6164),f126(x6163,x6162,x6164))
% 163.42/163.17 [617]~E(x6171,x6172)+E(f126(x6173,x6174,x6171),f126(x6173,x6174,x6172))
% 163.42/163.17 [618]~E(x6181,x6182)+E(f232(x6181,x6183,x6184,x6185),f232(x6182,x6183,x6184,x6185))
% 163.42/163.17 [619]~E(x6191,x6192)+E(f232(x6193,x6191,x6194,x6195),f232(x6193,x6192,x6194,x6195))
% 163.42/163.17 [620]~E(x6201,x6202)+E(f232(x6203,x6204,x6201,x6205),f232(x6203,x6204,x6202,x6205))
% 163.42/163.17 [621]~E(x6211,x6212)+E(f232(x6213,x6214,x6215,x6211),f232(x6213,x6214,x6215,x6212))
% 163.42/163.17 [622]~E(x6221,x6222)+E(f490(x6221,x6223),f490(x6222,x6223))
% 163.42/163.17 [623]~E(x6231,x6232)+E(f490(x6233,x6231),f490(x6233,x6232))
% 163.42/163.17 [624]~E(x6241,x6242)+E(f300(x6241),f300(x6242))
% 163.42/163.17 [625]~E(x6251,x6252)+E(f185(x6251,x6253,x6254,x6255),f185(x6252,x6253,x6254,x6255))
% 163.42/163.17 [626]~E(x6261,x6262)+E(f185(x6263,x6261,x6264,x6265),f185(x6263,x6262,x6264,x6265))
% 163.42/163.17 [627]~E(x6271,x6272)+E(f185(x6273,x6274,x6271,x6275),f185(x6273,x6274,x6272,x6275))
% 163.42/163.17 [628]~E(x6281,x6282)+E(f185(x6283,x6284,x6285,x6281),f185(x6283,x6284,x6285,x6282))
% 163.42/163.17 [629]~E(x6291,x6292)+E(f177(x6291,x6293,x6294),f177(x6292,x6293,x6294))
% 163.42/163.17 [630]~E(x6301,x6302)+E(f177(x6303,x6301,x6304),f177(x6303,x6302,x6304))
% 163.42/163.17 [631]~E(x6311,x6312)+E(f177(x6313,x6314,x6311),f177(x6313,x6314,x6312))
% 163.42/163.17 [632]~E(x6321,x6322)+E(f734(x6321,x6323,x6324,x6325,x6326,x6327,x6328,x6329),f734(x6322,x6323,x6324,x6325,x6326,x6327,x6328,x6329))
% 163.42/163.17 [633]~E(x6331,x6332)+E(f734(x6333,x6331,x6334,x6335,x6336,x6337,x6338,x6339),f734(x6333,x6332,x6334,x6335,x6336,x6337,x6338,x6339))
% 163.42/163.17 [634]~E(x6341,x6342)+E(f734(x6343,x6344,x6341,x6345,x6346,x6347,x6348,x6349),f734(x6343,x6344,x6342,x6345,x6346,x6347,x6348,x6349))
% 163.42/163.17 [635]~E(x6351,x6352)+E(f734(x6353,x6354,x6355,x6351,x6356,x6357,x6358,x6359),f734(x6353,x6354,x6355,x6352,x6356,x6357,x6358,x6359))
% 163.42/163.17 [636]~E(x6361,x6362)+E(f734(x6363,x6364,x6365,x6366,x6361,x6367,x6368,x6369),f734(x6363,x6364,x6365,x6366,x6362,x6367,x6368,x6369))
% 163.42/163.17 [637]~E(x6371,x6372)+E(f734(x6373,x6374,x6375,x6376,x6377,x6371,x6378,x6379),f734(x6373,x6374,x6375,x6376,x6377,x6372,x6378,x6379))
% 163.42/163.17 [638]~E(x6381,x6382)+E(f734(x6383,x6384,x6385,x6386,x6387,x6388,x6381,x6389),f734(x6383,x6384,x6385,x6386,x6387,x6388,x6382,x6389))
% 163.42/163.17 [639]~E(x6391,x6392)+E(f734(x6393,x6394,x6395,x6396,x6397,x6398,x6399,x6391),f734(x6393,x6394,x6395,x6396,x6397,x6398,x6399,x6392))
% 163.42/163.17 [640]~E(x6401,x6402)+E(f404(x6401,x6403,x6404),f404(x6402,x6403,x6404))
% 163.42/163.17 [641]~E(x6411,x6412)+E(f404(x6413,x6411,x6414),f404(x6413,x6412,x6414))
% 163.42/163.17 [642]~E(x6421,x6422)+E(f404(x6423,x6424,x6421),f404(x6423,x6424,x6422))
% 163.42/163.17 [643]~E(x6431,x6432)+E(f315(x6431,x6433),f315(x6432,x6433))
% 163.42/163.17 [644]~E(x6441,x6442)+E(f315(x6443,x6441),f315(x6443,x6442))
% 163.42/163.17 [645]~E(x6451,x6452)+E(f131(x6451,x6453,x6454,x6455),f131(x6452,x6453,x6454,x6455))
% 163.42/163.17 [646]~E(x6461,x6462)+E(f131(x6463,x6461,x6464,x6465),f131(x6463,x6462,x6464,x6465))
% 163.42/163.17 [647]~E(x6471,x6472)+E(f131(x6473,x6474,x6471,x6475),f131(x6473,x6474,x6472,x6475))
% 163.42/163.17 [648]~E(x6481,x6482)+E(f131(x6483,x6484,x6485,x6481),f131(x6483,x6484,x6485,x6482))
% 163.42/163.17 [649]~E(x6491,x6492)+E(f645(x6491,x6493,x6494,x6495,x6496),f645(x6492,x6493,x6494,x6495,x6496))
% 163.42/163.17 [650]~E(x6501,x6502)+E(f645(x6503,x6501,x6504,x6505,x6506),f645(x6503,x6502,x6504,x6505,x6506))
% 163.42/163.17 [651]~E(x6511,x6512)+E(f645(x6513,x6514,x6511,x6515,x6516),f645(x6513,x6514,x6512,x6515,x6516))
% 163.42/163.17 [652]~E(x6521,x6522)+E(f645(x6523,x6524,x6525,x6521,x6526),f645(x6523,x6524,x6525,x6522,x6526))
% 163.42/163.17 [653]~E(x6531,x6532)+E(f645(x6533,x6534,x6535,x6536,x6531),f645(x6533,x6534,x6535,x6536,x6532))
% 163.42/163.17 [654]~E(x6541,x6542)+E(f598(x6541,x6543,x6544),f598(x6542,x6543,x6544))
% 163.42/163.17 [655]~E(x6551,x6552)+E(f598(x6553,x6551,x6554),f598(x6553,x6552,x6554))
% 163.42/163.17 [656]~E(x6561,x6562)+E(f598(x6563,x6564,x6561),f598(x6563,x6564,x6562))
% 163.42/163.17 [657]~E(x6571,x6572)+E(f887(x6571,x6573,x6574),f887(x6572,x6573,x6574))
% 163.42/163.17 [658]~E(x6581,x6582)+E(f887(x6583,x6581,x6584),f887(x6583,x6582,x6584))
% 163.42/163.17 [659]~E(x6591,x6592)+E(f887(x6593,x6594,x6591),f887(x6593,x6594,x6592))
% 163.42/163.17 [660]~E(x6601,x6602)+E(f129(x6601),f129(x6602))
% 163.42/163.17 [661]~E(x6611,x6612)+E(f413(x6611),f413(x6612))
% 163.42/163.17 [662]~E(x6621,x6622)+E(f723(x6621,x6623,x6624),f723(x6622,x6623,x6624))
% 163.42/163.17 [663]~E(x6631,x6632)+E(f723(x6633,x6631,x6634),f723(x6633,x6632,x6634))
% 163.42/163.17 [664]~E(x6641,x6642)+E(f723(x6643,x6644,x6641),f723(x6643,x6644,x6642))
% 163.42/163.17 [665]~E(x6651,x6652)+E(f195(x6651,x6653),f195(x6652,x6653))
% 163.42/163.17 [666]~E(x6661,x6662)+E(f195(x6663,x6661),f195(x6663,x6662))
% 163.42/163.17 [667]~E(x6671,x6672)+E(f441(x6671,x6673,x6674,x6675,x6676,x6677,x6678),f441(x6672,x6673,x6674,x6675,x6676,x6677,x6678))
% 163.42/163.17 [668]~E(x6681,x6682)+E(f441(x6683,x6681,x6684,x6685,x6686,x6687,x6688),f441(x6683,x6682,x6684,x6685,x6686,x6687,x6688))
% 163.42/163.17 [669]~E(x6691,x6692)+E(f441(x6693,x6694,x6691,x6695,x6696,x6697,x6698),f441(x6693,x6694,x6692,x6695,x6696,x6697,x6698))
% 163.42/163.17 [670]~E(x6701,x6702)+E(f441(x6703,x6704,x6705,x6701,x6706,x6707,x6708),f441(x6703,x6704,x6705,x6702,x6706,x6707,x6708))
% 163.42/163.17 [671]~E(x6711,x6712)+E(f441(x6713,x6714,x6715,x6716,x6711,x6717,x6718),f441(x6713,x6714,x6715,x6716,x6712,x6717,x6718))
% 163.42/163.17 [672]~E(x6721,x6722)+E(f441(x6723,x6724,x6725,x6726,x6727,x6721,x6728),f441(x6723,x6724,x6725,x6726,x6727,x6722,x6728))
% 163.42/163.17 [673]~E(x6731,x6732)+E(f441(x6733,x6734,x6735,x6736,x6737,x6738,x6731),f441(x6733,x6734,x6735,x6736,x6737,x6738,x6732))
% 163.42/163.17 [674]~E(x6741,x6742)+E(f744(x6741,x6743,x6744,x6745,x6746),f744(x6742,x6743,x6744,x6745,x6746))
% 163.42/163.17 [675]~E(x6751,x6752)+E(f744(x6753,x6751,x6754,x6755,x6756),f744(x6753,x6752,x6754,x6755,x6756))
% 163.42/163.17 [676]~E(x6761,x6762)+E(f744(x6763,x6764,x6761,x6765,x6766),f744(x6763,x6764,x6762,x6765,x6766))
% 163.42/163.17 [677]~E(x6771,x6772)+E(f744(x6773,x6774,x6775,x6771,x6776),f744(x6773,x6774,x6775,x6772,x6776))
% 163.42/163.17 [678]~E(x6781,x6782)+E(f744(x6783,x6784,x6785,x6786,x6781),f744(x6783,x6784,x6785,x6786,x6782))
% 163.42/163.17 [679]~E(x6791,x6792)+E(f764(x6791,x6793,x6794),f764(x6792,x6793,x6794))
% 163.42/163.17 [680]~E(x6801,x6802)+E(f764(x6803,x6801,x6804),f764(x6803,x6802,x6804))
% 163.42/163.17 [681]~E(x6811,x6812)+E(f764(x6813,x6814,x6811),f764(x6813,x6814,x6812))
% 163.42/163.17 [682]~E(x6821,x6822)+E(f675(x6821,x6823),f675(x6822,x6823))
% 163.42/163.17 [683]~E(x6831,x6832)+E(f675(x6833,x6831),f675(x6833,x6832))
% 163.42/163.17 [684]~E(x6841,x6842)+E(f720(x6841,x6843,x6844),f720(x6842,x6843,x6844))
% 163.42/163.17 [685]~E(x6851,x6852)+E(f720(x6853,x6851,x6854),f720(x6853,x6852,x6854))
% 163.42/163.17 [686]~E(x6861,x6862)+E(f720(x6863,x6864,x6861),f720(x6863,x6864,x6862))
% 163.42/163.17 [687]~E(x6871,x6872)+E(f779(x6871,x6873,x6874,x6875),f779(x6872,x6873,x6874,x6875))
% 163.42/163.17 [688]~E(x6881,x6882)+E(f779(x6883,x6881,x6884,x6885),f779(x6883,x6882,x6884,x6885))
% 163.42/163.17 [689]~E(x6891,x6892)+E(f779(x6893,x6894,x6891,x6895),f779(x6893,x6894,x6892,x6895))
% 163.42/163.17 [690]~E(x6901,x6902)+E(f779(x6903,x6904,x6905,x6901),f779(x6903,x6904,x6905,x6902))
% 163.42/163.17 [691]~E(x6911,x6912)+E(f777(x6911,x6913,x6914,x6915),f777(x6912,x6913,x6914,x6915))
% 163.42/163.17 [692]~E(x6921,x6922)+E(f777(x6923,x6921,x6924,x6925),f777(x6923,x6922,x6924,x6925))
% 163.42/163.17 [693]~E(x6931,x6932)+E(f777(x6933,x6934,x6931,x6935),f777(x6933,x6934,x6932,x6935))
% 163.42/163.17 [694]~E(x6941,x6942)+E(f777(x6943,x6944,x6945,x6941),f777(x6943,x6944,x6945,x6942))
% 163.42/163.17 [695]~E(x6951,x6952)+E(f143(x6951,x6953),f143(x6952,x6953))
% 163.42/163.17 [696]~E(x6961,x6962)+E(f143(x6963,x6961),f143(x6963,x6962))
% 163.42/163.17 [697]~E(x6971,x6972)+E(f157(x6971,x6973),f157(x6972,x6973))
% 163.42/163.17 [698]~E(x6981,x6982)+E(f157(x6983,x6981),f157(x6983,x6982))
% 163.42/163.17 [699]~E(x6991,x6992)+E(f466(x6991,x6993),f466(x6992,x6993))
% 163.42/163.17 [700]~E(x7001,x7002)+E(f466(x7003,x7001),f466(x7003,x7002))
% 163.42/163.17 [701]~E(x7011,x7012)+E(f869(x7011,x7013,x7014),f869(x7012,x7013,x7014))
% 163.42/163.17 [702]~E(x7021,x7022)+E(f869(x7023,x7021,x7024),f869(x7023,x7022,x7024))
% 163.42/163.17 [703]~E(x7031,x7032)+E(f869(x7033,x7034,x7031),f869(x7033,x7034,x7032))
% 163.42/163.17 [704]~E(x7041,x7042)+E(f48(x7041,x7043),f48(x7042,x7043))
% 163.42/163.17 [705]~E(x7051,x7052)+E(f48(x7053,x7051),f48(x7053,x7052))
% 163.42/163.17 [706]~E(x7061,x7062)+E(f367(x7061,x7063),f367(x7062,x7063))
% 163.42/163.17 [707]~E(x7071,x7072)+E(f367(x7073,x7071),f367(x7073,x7072))
% 163.42/163.17 [708]~E(x7081,x7082)+E(f908(x7081,x7083,x7084),f908(x7082,x7083,x7084))
% 163.42/163.17 [709]~E(x7091,x7092)+E(f908(x7093,x7091,x7094),f908(x7093,x7092,x7094))
% 163.42/163.17 [710]~E(x7101,x7102)+E(f908(x7103,x7104,x7101),f908(x7103,x7104,x7102))
% 163.42/163.17 [711]~E(x7111,x7112)+E(f299(x7111,x7113,x7114,x7115,x7116),f299(x7112,x7113,x7114,x7115,x7116))
% 163.42/163.17 [712]~E(x7121,x7122)+E(f299(x7123,x7121,x7124,x7125,x7126),f299(x7123,x7122,x7124,x7125,x7126))
% 163.42/163.17 [713]~E(x7131,x7132)+E(f299(x7133,x7134,x7131,x7135,x7136),f299(x7133,x7134,x7132,x7135,x7136))
% 163.42/163.17 [714]~E(x7141,x7142)+E(f299(x7143,x7144,x7145,x7141,x7146),f299(x7143,x7144,x7145,x7142,x7146))
% 163.42/163.17 [715]~E(x7151,x7152)+E(f299(x7153,x7154,x7155,x7156,x7151),f299(x7153,x7154,x7155,x7156,x7152))
% 163.42/163.17 [716]~E(x7161,x7162)+E(f86(x7161),f86(x7162))
% 163.42/163.17 [717]~E(x7171,x7172)+E(f849(x7171,x7173,x7174,x7175,x7176,x7177,x7178),f849(x7172,x7173,x7174,x7175,x7176,x7177,x7178))
% 163.42/163.17 [718]~E(x7181,x7182)+E(f849(x7183,x7181,x7184,x7185,x7186,x7187,x7188),f849(x7183,x7182,x7184,x7185,x7186,x7187,x7188))
% 163.42/163.17 [719]~E(x7191,x7192)+E(f849(x7193,x7194,x7191,x7195,x7196,x7197,x7198),f849(x7193,x7194,x7192,x7195,x7196,x7197,x7198))
% 163.42/163.17 [720]~E(x7201,x7202)+E(f849(x7203,x7204,x7205,x7201,x7206,x7207,x7208),f849(x7203,x7204,x7205,x7202,x7206,x7207,x7208))
% 163.42/163.17 [721]~E(x7211,x7212)+E(f849(x7213,x7214,x7215,x7216,x7211,x7217,x7218),f849(x7213,x7214,x7215,x7216,x7212,x7217,x7218))
% 163.42/163.17 [722]~E(x7221,x7222)+E(f849(x7223,x7224,x7225,x7226,x7227,x7221,x7228),f849(x7223,x7224,x7225,x7226,x7227,x7222,x7228))
% 163.42/163.17 [723]~E(x7231,x7232)+E(f849(x7233,x7234,x7235,x7236,x7237,x7238,x7231),f849(x7233,x7234,x7235,x7236,x7237,x7238,x7232))
% 163.42/163.17 [724]~E(x7241,x7242)+E(f297(x7241,x7243,x7244),f297(x7242,x7243,x7244))
% 163.42/163.17 [725]~E(x7251,x7252)+E(f297(x7253,x7251,x7254),f297(x7253,x7252,x7254))
% 163.42/163.17 [726]~E(x7261,x7262)+E(f297(x7263,x7264,x7261),f297(x7263,x7264,x7262))
% 163.42/163.17 [727]~E(x7271,x7272)+E(f160(x7271,x7273),f160(x7272,x7273))
% 163.42/163.17 [728]~E(x7281,x7282)+E(f160(x7283,x7281),f160(x7283,x7282))
% 163.42/163.17 [729]~E(x7291,x7292)+E(f433(x7291,x7293),f433(x7292,x7293))
% 163.42/163.17 [730]~E(x7301,x7302)+E(f433(x7303,x7301),f433(x7303,x7302))
% 163.42/163.17 [731]~E(x7311,x7312)+E(f55(x7311),f55(x7312))
% 163.42/163.17 [732]~E(x7321,x7322)+E(f279(x7321,x7323,x7324,x7325),f279(x7322,x7323,x7324,x7325))
% 163.42/163.17 [733]~E(x7331,x7332)+E(f279(x7333,x7331,x7334,x7335),f279(x7333,x7332,x7334,x7335))
% 163.42/163.17 [734]~E(x7341,x7342)+E(f279(x7343,x7344,x7341,x7345),f279(x7343,x7344,x7342,x7345))
% 163.42/163.17 [735]~E(x7351,x7352)+E(f279(x7353,x7354,x7355,x7351),f279(x7353,x7354,x7355,x7352))
% 163.42/163.17 [736]~E(x7361,x7362)+E(f814(x7361,x7363,x7364,x7365,x7366,x7367),f814(x7362,x7363,x7364,x7365,x7366,x7367))
% 163.42/163.17 [737]~E(x7371,x7372)+E(f814(x7373,x7371,x7374,x7375,x7376,x7377),f814(x7373,x7372,x7374,x7375,x7376,x7377))
% 163.42/163.17 [738]~E(x7381,x7382)+E(f814(x7383,x7384,x7381,x7385,x7386,x7387),f814(x7383,x7384,x7382,x7385,x7386,x7387))
% 163.42/163.17 [739]~E(x7391,x7392)+E(f814(x7393,x7394,x7395,x7391,x7396,x7397),f814(x7393,x7394,x7395,x7392,x7396,x7397))
% 163.42/163.17 [740]~E(x7401,x7402)+E(f814(x7403,x7404,x7405,x7406,x7401,x7407),f814(x7403,x7404,x7405,x7406,x7402,x7407))
% 163.42/163.17 [741]~E(x7411,x7412)+E(f814(x7413,x7414,x7415,x7416,x7417,x7411),f814(x7413,x7414,x7415,x7416,x7417,x7412))
% 163.42/163.17 [742]~E(x7421,x7422)+E(f533(x7421,x7423,x7424,x7425,x7426),f533(x7422,x7423,x7424,x7425,x7426))
% 163.42/163.17 [743]~E(x7431,x7432)+E(f533(x7433,x7431,x7434,x7435,x7436),f533(x7433,x7432,x7434,x7435,x7436))
% 163.42/163.17 [744]~E(x7441,x7442)+E(f533(x7443,x7444,x7441,x7445,x7446),f533(x7443,x7444,x7442,x7445,x7446))
% 163.42/163.17 [745]~E(x7451,x7452)+E(f533(x7453,x7454,x7455,x7451,x7456),f533(x7453,x7454,x7455,x7452,x7456))
% 163.42/163.17 [746]~E(x7461,x7462)+E(f533(x7463,x7464,x7465,x7466,x7461),f533(x7463,x7464,x7465,x7466,x7462))
% 163.42/163.17 [747]~E(x7471,x7472)+E(f248(x7471,x7473,x7474),f248(x7472,x7473,x7474))
% 163.42/163.17 [748]~E(x7481,x7482)+E(f248(x7483,x7481,x7484),f248(x7483,x7482,x7484))
% 163.42/163.17 [749]~E(x7491,x7492)+E(f248(x7493,x7494,x7491),f248(x7493,x7494,x7492))
% 163.42/163.17 [750]~E(x7501,x7502)+E(f376(x7501,x7503,x7504),f376(x7502,x7503,x7504))
% 163.42/163.17 [751]~E(x7511,x7512)+E(f376(x7513,x7511,x7514),f376(x7513,x7512,x7514))
% 163.42/163.17 [752]~E(x7521,x7522)+E(f376(x7523,x7524,x7521),f376(x7523,x7524,x7522))
% 163.42/163.17 [753]~E(x7531,x7532)+E(f551(x7531,x7533,x7534,x7535,x7536,x7537),f551(x7532,x7533,x7534,x7535,x7536,x7537))
% 163.42/163.17 [754]~E(x7541,x7542)+E(f551(x7543,x7541,x7544,x7545,x7546,x7547),f551(x7543,x7542,x7544,x7545,x7546,x7547))
% 163.42/163.17 [755]~E(x7551,x7552)+E(f551(x7553,x7554,x7551,x7555,x7556,x7557),f551(x7553,x7554,x7552,x7555,x7556,x7557))
% 163.42/163.17 [756]~E(x7561,x7562)+E(f551(x7563,x7564,x7565,x7561,x7566,x7567),f551(x7563,x7564,x7565,x7562,x7566,x7567))
% 163.42/163.17 [757]~E(x7571,x7572)+E(f551(x7573,x7574,x7575,x7576,x7571,x7577),f551(x7573,x7574,x7575,x7576,x7572,x7577))
% 163.42/163.17 [758]~E(x7581,x7582)+E(f551(x7583,x7584,x7585,x7586,x7587,x7581),f551(x7583,x7584,x7585,x7586,x7587,x7582))
% 163.42/163.17 [759]~E(x7591,x7592)+E(f26(x7591,x7593,x7594),f26(x7592,x7593,x7594))
% 163.42/163.17 [760]~E(x7601,x7602)+E(f26(x7603,x7601,x7604),f26(x7603,x7602,x7604))
% 163.42/163.17 [761]~E(x7611,x7612)+E(f26(x7613,x7614,x7611),f26(x7613,x7614,x7612))
% 163.42/163.17 [762]~E(x7621,x7622)+E(f815(x7621,x7623,x7624,x7625,x7626,x7627),f815(x7622,x7623,x7624,x7625,x7626,x7627))
% 163.42/163.17 [763]~E(x7631,x7632)+E(f815(x7633,x7631,x7634,x7635,x7636,x7637),f815(x7633,x7632,x7634,x7635,x7636,x7637))
% 163.42/163.17 [764]~E(x7641,x7642)+E(f815(x7643,x7644,x7641,x7645,x7646,x7647),f815(x7643,x7644,x7642,x7645,x7646,x7647))
% 163.42/163.17 [765]~E(x7651,x7652)+E(f815(x7653,x7654,x7655,x7651,x7656,x7657),f815(x7653,x7654,x7655,x7652,x7656,x7657))
% 163.42/163.17 [766]~E(x7661,x7662)+E(f815(x7663,x7664,x7665,x7666,x7661,x7667),f815(x7663,x7664,x7665,x7666,x7662,x7667))
% 163.42/163.17 [767]~E(x7671,x7672)+E(f815(x7673,x7674,x7675,x7676,x7677,x7671),f815(x7673,x7674,x7675,x7676,x7677,x7672))
% 163.42/163.17 [768]~E(x7681,x7682)+E(f254(x7681,x7683,x7684,x7685),f254(x7682,x7683,x7684,x7685))
% 163.42/163.17 [769]~E(x7691,x7692)+E(f254(x7693,x7691,x7694,x7695),f254(x7693,x7692,x7694,x7695))
% 163.42/163.17 [770]~E(x7701,x7702)+E(f254(x7703,x7704,x7701,x7705),f254(x7703,x7704,x7702,x7705))
% 163.42/163.17 [771]~E(x7711,x7712)+E(f254(x7713,x7714,x7715,x7711),f254(x7713,x7714,x7715,x7712))
% 163.42/163.17 [772]~E(x7721,x7722)+E(f816(x7721,x7723,x7724,x7725,x7726,x7727),f816(x7722,x7723,x7724,x7725,x7726,x7727))
% 163.42/163.17 [773]~E(x7731,x7732)+E(f816(x7733,x7731,x7734,x7735,x7736,x7737),f816(x7733,x7732,x7734,x7735,x7736,x7737))
% 163.42/163.17 [774]~E(x7741,x7742)+E(f816(x7743,x7744,x7741,x7745,x7746,x7747),f816(x7743,x7744,x7742,x7745,x7746,x7747))
% 163.42/163.17 [775]~E(x7751,x7752)+E(f816(x7753,x7754,x7755,x7751,x7756,x7757),f816(x7753,x7754,x7755,x7752,x7756,x7757))
% 163.42/163.17 [776]~E(x7761,x7762)+E(f816(x7763,x7764,x7765,x7766,x7761,x7767),f816(x7763,x7764,x7765,x7766,x7762,x7767))
% 163.42/163.17 [777]~E(x7771,x7772)+E(f816(x7773,x7774,x7775,x7776,x7777,x7771),f816(x7773,x7774,x7775,x7776,x7777,x7772))
% 163.42/163.17 [778]~E(x7781,x7782)+E(f67(x7781,x7783,x7784),f67(x7782,x7783,x7784))
% 163.42/163.17 [779]~E(x7791,x7792)+E(f67(x7793,x7791,x7794),f67(x7793,x7792,x7794))
% 163.42/163.17 [780]~E(x7801,x7802)+E(f67(x7803,x7804,x7801),f67(x7803,x7804,x7802))
% 163.42/163.17 [781]~E(x7811,x7812)+E(f658(x7811,x7813,x7814,x7815),f658(x7812,x7813,x7814,x7815))
% 163.42/163.17 [782]~E(x7821,x7822)+E(f658(x7823,x7821,x7824,x7825),f658(x7823,x7822,x7824,x7825))
% 163.42/163.17 [783]~E(x7831,x7832)+E(f658(x7833,x7834,x7831,x7835),f658(x7833,x7834,x7832,x7835))
% 163.42/163.17 [784]~E(x7841,x7842)+E(f658(x7843,x7844,x7845,x7841),f658(x7843,x7844,x7845,x7842))
% 163.42/163.17 [785]~E(x7851,x7852)+E(f213(x7851),f213(x7852))
% 163.42/163.17 [786]~E(x7861,x7862)+E(f149(x7861,x7863,x7864,x7865,x7866),f149(x7862,x7863,x7864,x7865,x7866))
% 163.42/163.17 [787]~E(x7871,x7872)+E(f149(x7873,x7871,x7874,x7875,x7876),f149(x7873,x7872,x7874,x7875,x7876))
% 163.42/163.17 [788]~E(x7881,x7882)+E(f149(x7883,x7884,x7881,x7885,x7886),f149(x7883,x7884,x7882,x7885,x7886))
% 163.42/163.17 [789]~E(x7891,x7892)+E(f149(x7893,x7894,x7895,x7891,x7896),f149(x7893,x7894,x7895,x7892,x7896))
% 163.42/163.17 [790]~E(x7901,x7902)+E(f149(x7903,x7904,x7905,x7906,x7901),f149(x7903,x7904,x7905,x7906,x7902))
% 163.42/163.17 [791]~E(x7911,x7912)+E(f831(x7911,x7913,x7914,x7915),f831(x7912,x7913,x7914,x7915))
% 163.42/163.17 [792]~E(x7921,x7922)+E(f831(x7923,x7921,x7924,x7925),f831(x7923,x7922,x7924,x7925))
% 163.42/163.17 [793]~E(x7931,x7932)+E(f831(x7933,x7934,x7931,x7935),f831(x7933,x7934,x7932,x7935))
% 163.42/163.17 [794]~E(x7941,x7942)+E(f831(x7943,x7944,x7945,x7941),f831(x7943,x7944,x7945,x7942))
% 163.42/163.17 [795]~E(x7951,x7952)+E(f788(x7951,x7953),f788(x7952,x7953))
% 163.42/163.17 [796]~E(x7961,x7962)+E(f788(x7963,x7961),f788(x7963,x7962))
% 163.42/163.17 [797]~E(x7971,x7972)+E(f807(x7971),f807(x7972))
% 163.42/163.17 [798]~E(x7981,x7982)+E(f463(x7981,x7983,x7984,x7985),f463(x7982,x7983,x7984,x7985))
% 163.42/163.17 [799]~E(x7991,x7992)+E(f463(x7993,x7991,x7994,x7995),f463(x7993,x7992,x7994,x7995))
% 163.42/163.17 [800]~E(x8001,x8002)+E(f463(x8003,x8004,x8001,x8005),f463(x8003,x8004,x8002,x8005))
% 163.42/163.17 [801]~E(x8011,x8012)+E(f463(x8013,x8014,x8015,x8011),f463(x8013,x8014,x8015,x8012))
% 163.42/163.17 [802]~E(x8021,x8022)+E(f140(x8021,x8023,x8024),f140(x8022,x8023,x8024))
% 163.42/163.17 [803]~E(x8031,x8032)+E(f140(x8033,x8031,x8034),f140(x8033,x8032,x8034))
% 163.42/163.17 [804]~E(x8041,x8042)+E(f140(x8043,x8044,x8041),f140(x8043,x8044,x8042))
% 163.42/163.17 [805]~E(x8051,x8052)+E(f511(x8051,x8053,x8054),f511(x8052,x8053,x8054))
% 163.42/163.17 [806]~E(x8061,x8062)+E(f511(x8063,x8061,x8064),f511(x8063,x8062,x8064))
% 163.42/163.17 [807]~E(x8071,x8072)+E(f511(x8073,x8074,x8071),f511(x8073,x8074,x8072))
% 163.42/163.17 [808]~E(x8081,x8082)+E(f892(x8081,x8083,x8084),f892(x8082,x8083,x8084))
% 163.42/163.17 [809]~E(x8091,x8092)+E(f892(x8093,x8091,x8094),f892(x8093,x8092,x8094))
% 163.42/163.17 [810]~E(x8101,x8102)+E(f892(x8103,x8104,x8101),f892(x8103,x8104,x8102))
% 163.42/163.17 [811]~E(x8111,x8112)+E(f499(x8111,x8113,x8114,x8115),f499(x8112,x8113,x8114,x8115))
% 163.42/163.17 [812]~E(x8121,x8122)+E(f499(x8123,x8121,x8124,x8125),f499(x8123,x8122,x8124,x8125))
% 163.42/163.17 [813]~E(x8131,x8132)+E(f499(x8133,x8134,x8131,x8135),f499(x8133,x8134,x8132,x8135))
% 163.42/163.17 [814]~E(x8141,x8142)+E(f499(x8143,x8144,x8145,x8141),f499(x8143,x8144,x8145,x8142))
% 163.42/163.17 [815]~E(x8151,x8152)+E(f654(x8151,x8153,x8154,x8155,x8156),f654(x8152,x8153,x8154,x8155,x8156))
% 163.42/163.17 [816]~E(x8161,x8162)+E(f654(x8163,x8161,x8164,x8165,x8166),f654(x8163,x8162,x8164,x8165,x8166))
% 163.42/163.17 [817]~E(x8171,x8172)+E(f654(x8173,x8174,x8171,x8175,x8176),f654(x8173,x8174,x8172,x8175,x8176))
% 163.42/163.17 [818]~E(x8181,x8182)+E(f654(x8183,x8184,x8185,x8181,x8186),f654(x8183,x8184,x8185,x8182,x8186))
% 163.42/163.17 [819]~E(x8191,x8192)+E(f654(x8193,x8194,x8195,x8196,x8191),f654(x8193,x8194,x8195,x8196,x8192))
% 163.42/163.17 [820]~E(x8201,x8202)+E(f269(x8201,x8203),f269(x8202,x8203))
% 163.42/163.17 [821]~E(x8211,x8212)+E(f269(x8213,x8211),f269(x8213,x8212))
% 163.42/163.17 [822]~E(x8221,x8222)+E(f759(x8221,x8223,x8224),f759(x8222,x8223,x8224))
% 163.42/163.17 [823]~E(x8231,x8232)+E(f759(x8233,x8231,x8234),f759(x8233,x8232,x8234))
% 163.42/163.17 [824]~E(x8241,x8242)+E(f759(x8243,x8244,x8241),f759(x8243,x8244,x8242))
% 163.42/163.17 [825]~E(x8251,x8252)+E(f515(x8251,x8253,x8254),f515(x8252,x8253,x8254))
% 163.42/163.17 [826]~E(x8261,x8262)+E(f515(x8263,x8261,x8264),f515(x8263,x8262,x8264))
% 163.42/163.17 [827]~E(x8271,x8272)+E(f515(x8273,x8274,x8271),f515(x8273,x8274,x8272))
% 163.42/163.17 [828]~E(x8281,x8282)+E(f832(x8281,x8283),f832(x8282,x8283))
% 163.42/163.17 [829]~E(x8291,x8292)+E(f832(x8293,x8291),f832(x8293,x8292))
% 163.42/163.17 [830]~E(x8301,x8302)+E(f465(x8301,x8303,x8304),f465(x8302,x8303,x8304))
% 163.42/163.17 [831]~E(x8311,x8312)+E(f465(x8313,x8311,x8314),f465(x8313,x8312,x8314))
% 163.42/163.17 [832]~E(x8321,x8322)+E(f465(x8323,x8324,x8321),f465(x8323,x8324,x8322))
% 163.42/163.17 [833]~E(x8331,x8332)+E(f230(x8331,x8333,x8334,x8335),f230(x8332,x8333,x8334,x8335))
% 163.42/163.17 [834]~E(x8341,x8342)+E(f230(x8343,x8341,x8344,x8345),f230(x8343,x8342,x8344,x8345))
% 163.42/163.17 [835]~E(x8351,x8352)+E(f230(x8353,x8354,x8351,x8355),f230(x8353,x8354,x8352,x8355))
% 163.42/163.17 [836]~E(x8361,x8362)+E(f230(x8363,x8364,x8365,x8361),f230(x8363,x8364,x8365,x8362))
% 163.42/163.17 [837]~E(x8371,x8372)+E(f244(x8371,x8373,x8374),f244(x8372,x8373,x8374))
% 163.42/163.17 [838]~E(x8381,x8382)+E(f244(x8383,x8381,x8384),f244(x8383,x8382,x8384))
% 163.42/163.17 [839]~E(x8391,x8392)+E(f244(x8393,x8394,x8391),f244(x8393,x8394,x8392))
% 163.42/163.17 [840]~E(x8401,x8402)+E(f186(x8401),f186(x8402))
% 163.42/163.17 [841]~E(x8411,x8412)+E(f29(x8411,x8413),f29(x8412,x8413))
% 163.42/163.17 [842]~E(x8421,x8422)+E(f29(x8423,x8421),f29(x8423,x8422))
% 163.42/163.17 [843]~E(x8431,x8432)+E(f109(x8431),f109(x8432))
% 163.42/163.17 [844]~E(x8441,x8442)+E(f457(x8441,x8443,x8444),f457(x8442,x8443,x8444))
% 163.42/163.17 [845]~E(x8451,x8452)+E(f457(x8453,x8451,x8454),f457(x8453,x8452,x8454))
% 163.42/163.17 [846]~E(x8461,x8462)+E(f457(x8463,x8464,x8461),f457(x8463,x8464,x8462))
% 163.42/163.17 [847]~E(x8471,x8472)+E(f221(x8471,x8473,x8474,x8475),f221(x8472,x8473,x8474,x8475))
% 163.42/163.17 [848]~E(x8481,x8482)+E(f221(x8483,x8481,x8484,x8485),f221(x8483,x8482,x8484,x8485))
% 163.42/163.17 [849]~E(x8491,x8492)+E(f221(x8493,x8494,x8491,x8495),f221(x8493,x8494,x8492,x8495))
% 163.42/163.17 [850]~E(x8501,x8502)+E(f221(x8503,x8504,x8505,x8501),f221(x8503,x8504,x8505,x8502))
% 163.42/163.17 [851]~E(x8511,x8512)+E(f12(x8511,x8513),f12(x8512,x8513))
% 163.42/163.17 [852]~E(x8521,x8522)+E(f12(x8523,x8521),f12(x8523,x8522))
% 163.42/163.17 [853]~E(x8531,x8532)+E(f54(x8531,x8533,x8534),f54(x8532,x8533,x8534))
% 163.42/163.17 [854]~E(x8541,x8542)+E(f54(x8543,x8541,x8544),f54(x8543,x8542,x8544))
% 163.42/163.17 [855]~E(x8551,x8552)+E(f54(x8553,x8554,x8551),f54(x8553,x8554,x8552))
% 163.42/163.17 [856]~E(x8561,x8562)+E(f280(x8561),f280(x8562))
% 163.42/163.17 [857]~E(x8571,x8572)+E(f348(x8571,x8573,x8574,x8575),f348(x8572,x8573,x8574,x8575))
% 163.42/163.17 [858]~E(x8581,x8582)+E(f348(x8583,x8581,x8584,x8585),f348(x8583,x8582,x8584,x8585))
% 163.42/163.17 [859]~E(x8591,x8592)+E(f348(x8593,x8594,x8591,x8595),f348(x8593,x8594,x8592,x8595))
% 163.42/163.17 [860]~E(x8601,x8602)+E(f348(x8603,x8604,x8605,x8601),f348(x8603,x8604,x8605,x8602))
% 163.42/163.17 [861]~E(x8611,x8612)+E(f355(x8611,x8613,x8614),f355(x8612,x8613,x8614))
% 163.42/163.17 [862]~E(x8621,x8622)+E(f355(x8623,x8621,x8624),f355(x8623,x8622,x8624))
% 163.42/163.17 [863]~E(x8631,x8632)+E(f355(x8633,x8634,x8631),f355(x8633,x8634,x8632))
% 163.42/163.17 [864]~E(x8641,x8642)+E(f678(x8641,x8643),f678(x8642,x8643))
% 163.42/163.17 [865]~E(x8651,x8652)+E(f678(x8653,x8651),f678(x8653,x8652))
% 163.42/163.17 [866]~E(x8661,x8662)+E(f792(x8661,x8663),f792(x8662,x8663))
% 163.42/163.17 [867]~E(x8671,x8672)+E(f792(x8673,x8671),f792(x8673,x8672))
% 163.42/163.17 [868]~E(x8681,x8682)+E(f378(x8681,x8683,x8684),f378(x8682,x8683,x8684))
% 163.42/163.17 [869]~E(x8691,x8692)+E(f378(x8693,x8691,x8694),f378(x8693,x8692,x8694))
% 163.42/163.17 [870]~E(x8701,x8702)+E(f378(x8703,x8704,x8701),f378(x8703,x8704,x8702))
% 163.42/163.17 [871]~E(x8711,x8712)+E(f561(x8711,x8713,x8714,x8715,x8716,x8717),f561(x8712,x8713,x8714,x8715,x8716,x8717))
% 163.42/163.17 [872]~E(x8721,x8722)+E(f561(x8723,x8721,x8724,x8725,x8726,x8727),f561(x8723,x8722,x8724,x8725,x8726,x8727))
% 163.42/163.17 [873]~E(x8731,x8732)+E(f561(x8733,x8734,x8731,x8735,x8736,x8737),f561(x8733,x8734,x8732,x8735,x8736,x8737))
% 163.42/163.17 [874]~E(x8741,x8742)+E(f561(x8743,x8744,x8745,x8741,x8746,x8747),f561(x8743,x8744,x8745,x8742,x8746,x8747))
% 163.42/163.17 [875]~E(x8751,x8752)+E(f561(x8753,x8754,x8755,x8756,x8751,x8757),f561(x8753,x8754,x8755,x8756,x8752,x8757))
% 163.42/163.17 [876]~E(x8761,x8762)+E(f561(x8763,x8764,x8765,x8766,x8767,x8761),f561(x8763,x8764,x8765,x8766,x8767,x8762))
% 163.42/163.17 [877]~E(x8771,x8772)+E(f781(x8771,x8773,x8774,x8775,x8776,x8777,x8778),f781(x8772,x8773,x8774,x8775,x8776,x8777,x8778))
% 163.42/163.17 [878]~E(x8781,x8782)+E(f781(x8783,x8781,x8784,x8785,x8786,x8787,x8788),f781(x8783,x8782,x8784,x8785,x8786,x8787,x8788))
% 163.42/163.17 [879]~E(x8791,x8792)+E(f781(x8793,x8794,x8791,x8795,x8796,x8797,x8798),f781(x8793,x8794,x8792,x8795,x8796,x8797,x8798))
% 163.42/163.17 [880]~E(x8801,x8802)+E(f781(x8803,x8804,x8805,x8801,x8806,x8807,x8808),f781(x8803,x8804,x8805,x8802,x8806,x8807,x8808))
% 163.42/163.17 [881]~E(x8811,x8812)+E(f781(x8813,x8814,x8815,x8816,x8811,x8817,x8818),f781(x8813,x8814,x8815,x8816,x8812,x8817,x8818))
% 163.42/163.17 [882]~E(x8821,x8822)+E(f781(x8823,x8824,x8825,x8826,x8827,x8821,x8828),f781(x8823,x8824,x8825,x8826,x8827,x8822,x8828))
% 163.42/163.17 [883]~E(x8831,x8832)+E(f781(x8833,x8834,x8835,x8836,x8837,x8838,x8831),f781(x8833,x8834,x8835,x8836,x8837,x8838,x8832))
% 163.42/163.17 [884]~E(x8841,x8842)+E(f400(x8841,x8843,x8844,x8845),f400(x8842,x8843,x8844,x8845))
% 163.42/163.17 [885]~E(x8851,x8852)+E(f400(x8853,x8851,x8854,x8855),f400(x8853,x8852,x8854,x8855))
% 163.42/163.17 [886]~E(x8861,x8862)+E(f400(x8863,x8864,x8861,x8865),f400(x8863,x8864,x8862,x8865))
% 163.42/163.17 [887]~E(x8871,x8872)+E(f400(x8873,x8874,x8875,x8871),f400(x8873,x8874,x8875,x8872))
% 163.42/163.17 [888]~E(x8881,x8882)+E(f695(x8881,x8883,x8884,x8885,x8886),f695(x8882,x8883,x8884,x8885,x8886))
% 163.42/163.17 [889]~E(x8891,x8892)+E(f695(x8893,x8891,x8894,x8895,x8896),f695(x8893,x8892,x8894,x8895,x8896))
% 163.42/163.17 [890]~E(x8901,x8902)+E(f695(x8903,x8904,x8901,x8905,x8906),f695(x8903,x8904,x8902,x8905,x8906))
% 163.42/163.17 [891]~E(x8911,x8912)+E(f695(x8913,x8914,x8915,x8911,x8916),f695(x8913,x8914,x8915,x8912,x8916))
% 163.42/163.17 [892]~E(x8921,x8922)+E(f695(x8923,x8924,x8925,x8926,x8921),f695(x8923,x8924,x8925,x8926,x8922))
% 163.42/163.17 [893]~E(x8931,x8932)+E(f21(x8931,x8933,x8934,x8935),f21(x8932,x8933,x8934,x8935))
% 163.42/163.17 [894]~E(x8941,x8942)+E(f21(x8943,x8941,x8944,x8945),f21(x8943,x8942,x8944,x8945))
% 163.42/163.17 [895]~E(x8951,x8952)+E(f21(x8953,x8954,x8951,x8955),f21(x8953,x8954,x8952,x8955))
% 163.42/163.17 [896]~E(x8961,x8962)+E(f21(x8963,x8964,x8965,x8961),f21(x8963,x8964,x8965,x8962))
% 163.42/163.17 [897]~E(x8971,x8972)+E(f467(x8971,x8973,x8974,x8975),f467(x8972,x8973,x8974,x8975))
% 163.42/163.17 [898]~E(x8981,x8982)+E(f467(x8983,x8981,x8984,x8985),f467(x8983,x8982,x8984,x8985))
% 163.42/163.17 [899]~E(x8991,x8992)+E(f467(x8993,x8994,x8991,x8995),f467(x8993,x8994,x8992,x8995))
% 163.42/163.17 [900]~E(x9001,x9002)+E(f467(x9003,x9004,x9005,x9001),f467(x9003,x9004,x9005,x9002))
% 163.42/163.17 [901]~E(x9011,x9012)+E(f698(x9011,x9013,x9014),f698(x9012,x9013,x9014))
% 163.42/163.17 [902]~E(x9021,x9022)+E(f698(x9023,x9021,x9024),f698(x9023,x9022,x9024))
% 163.42/163.17 [903]~E(x9031,x9032)+E(f698(x9033,x9034,x9031),f698(x9033,x9034,x9032))
% 163.42/163.17 [904]~E(x9041,x9042)+E(f732(x9041,x9043),f732(x9042,x9043))
% 163.42/163.17 [905]~E(x9051,x9052)+E(f732(x9053,x9051),f732(x9053,x9052))
% 163.42/163.17 [906]~E(x9061,x9062)+E(f886(x9061,x9063,x9064),f886(x9062,x9063,x9064))
% 163.42/163.17 [907]~E(x9071,x9072)+E(f886(x9073,x9071,x9074),f886(x9073,x9072,x9074))
% 163.42/163.17 [908]~E(x9081,x9082)+E(f886(x9083,x9084,x9081),f886(x9083,x9084,x9082))
% 163.42/163.17 [909]~E(x9091,x9092)+E(f45(x9091,x9093),f45(x9092,x9093))
% 163.42/163.17 [910]~E(x9101,x9102)+E(f45(x9103,x9101),f45(x9103,x9102))
% 163.42/163.17 [911]~E(x9111,x9112)+E(f742(x9111,x9113,x9114,x9115),f742(x9112,x9113,x9114,x9115))
% 163.42/163.17 [912]~E(x9121,x9122)+E(f742(x9123,x9121,x9124,x9125),f742(x9123,x9122,x9124,x9125))
% 163.42/163.17 [913]~E(x9131,x9132)+E(f742(x9133,x9134,x9131,x9135),f742(x9133,x9134,x9132,x9135))
% 163.42/163.17 [914]~E(x9141,x9142)+E(f742(x9143,x9144,x9145,x9141),f742(x9143,x9144,x9145,x9142))
% 163.42/163.17 [915]~E(x9151,x9152)+E(f27(x9151,x9153,x9154),f27(x9152,x9153,x9154))
% 163.42/163.17 [916]~E(x9161,x9162)+E(f27(x9163,x9161,x9164),f27(x9163,x9162,x9164))
% 163.42/163.17 [917]~E(x9171,x9172)+E(f27(x9173,x9174,x9171),f27(x9173,x9174,x9172))
% 163.42/163.17 [918]~E(x9181,x9182)+E(f694(x9181,x9183,x9184,x9185,x9186),f694(x9182,x9183,x9184,x9185,x9186))
% 163.42/163.17 [919]~E(x9191,x9192)+E(f694(x9193,x9191,x9194,x9195,x9196),f694(x9193,x9192,x9194,x9195,x9196))
% 163.42/163.17 [920]~E(x9201,x9202)+E(f694(x9203,x9204,x9201,x9205,x9206),f694(x9203,x9204,x9202,x9205,x9206))
% 163.42/163.17 [921]~E(x9211,x9212)+E(f694(x9213,x9214,x9215,x9211,x9216),f694(x9213,x9214,x9215,x9212,x9216))
% 163.42/163.17 [922]~E(x9221,x9222)+E(f694(x9223,x9224,x9225,x9226,x9221),f694(x9223,x9224,x9225,x9226,x9222))
% 163.42/163.17 [923]~E(x9231,x9232)+E(f211(x9231,x9233,x9234,x9235),f211(x9232,x9233,x9234,x9235))
% 163.42/163.17 [924]~E(x9241,x9242)+E(f211(x9243,x9241,x9244,x9245),f211(x9243,x9242,x9244,x9245))
% 163.42/163.17 [925]~E(x9251,x9252)+E(f211(x9253,x9254,x9251,x9255),f211(x9253,x9254,x9252,x9255))
% 163.42/163.17 [926]~E(x9261,x9262)+E(f211(x9263,x9264,x9265,x9261),f211(x9263,x9264,x9265,x9262))
% 163.42/163.17 [927]~E(x9271,x9272)+E(f736(x9271,x9273,x9274,x9275),f736(x9272,x9273,x9274,x9275))
% 163.42/163.17 [928]~E(x9281,x9282)+E(f736(x9283,x9281,x9284,x9285),f736(x9283,x9282,x9284,x9285))
% 163.42/163.17 [929]~E(x9291,x9292)+E(f736(x9293,x9294,x9291,x9295),f736(x9293,x9294,x9292,x9295))
% 163.42/163.17 [930]~E(x9301,x9302)+E(f736(x9303,x9304,x9305,x9301),f736(x9303,x9304,x9305,x9302))
% 163.42/163.17 [931]~E(x9311,x9312)+E(f888(x9311,x9313,x9314,x9315,x9316,x9317,x9318),f888(x9312,x9313,x9314,x9315,x9316,x9317,x9318))
% 163.42/163.17 [932]~E(x9321,x9322)+E(f888(x9323,x9321,x9324,x9325,x9326,x9327,x9328),f888(x9323,x9322,x9324,x9325,x9326,x9327,x9328))
% 163.42/163.17 [933]~E(x9331,x9332)+E(f888(x9333,x9334,x9331,x9335,x9336,x9337,x9338),f888(x9333,x9334,x9332,x9335,x9336,x9337,x9338))
% 163.42/163.17 [934]~E(x9341,x9342)+E(f888(x9343,x9344,x9345,x9341,x9346,x9347,x9348),f888(x9343,x9344,x9345,x9342,x9346,x9347,x9348))
% 163.42/163.17 [935]~E(x9351,x9352)+E(f888(x9353,x9354,x9355,x9356,x9351,x9357,x9358),f888(x9353,x9354,x9355,x9356,x9352,x9357,x9358))
% 163.42/163.17 [936]~E(x9361,x9362)+E(f888(x9363,x9364,x9365,x9366,x9367,x9361,x9368),f888(x9363,x9364,x9365,x9366,x9367,x9362,x9368))
% 163.42/163.17 [937]~E(x9371,x9372)+E(f888(x9373,x9374,x9375,x9376,x9377,x9378,x9371),f888(x9373,x9374,x9375,x9376,x9377,x9378,x9372))
% 163.42/163.17 [938]~E(x9381,x9382)+E(f193(x9381,x9383),f193(x9382,x9383))
% 163.42/163.17 [939]~E(x9391,x9392)+E(f193(x9393,x9391),f193(x9393,x9392))
% 163.42/163.17 [940]~E(x9401,x9402)+E(f718(x9401,x9403,x9404),f718(x9402,x9403,x9404))
% 163.42/163.17 [941]~E(x9411,x9412)+E(f718(x9413,x9411,x9414),f718(x9413,x9412,x9414))
% 163.42/163.17 [942]~E(x9421,x9422)+E(f718(x9423,x9424,x9421),f718(x9423,x9424,x9422))
% 163.42/163.17 [943]~E(x9431,x9432)+E(f121(x9431,x9433),f121(x9432,x9433))
% 163.42/163.17 [944]~E(x9441,x9442)+E(f121(x9443,x9441),f121(x9443,x9442))
% 163.42/163.17 [945]~E(x9451,x9452)+E(f359(x9451,x9453,x9454),f359(x9452,x9453,x9454))
% 163.42/163.17 [946]~E(x9461,x9462)+E(f359(x9463,x9461,x9464),f359(x9463,x9462,x9464))
% 163.42/163.17 [947]~E(x9471,x9472)+E(f359(x9473,x9474,x9471),f359(x9473,x9474,x9472))
% 163.42/163.17 [948]~E(x9481,x9482)+E(f215(x9481,x9483),f215(x9482,x9483))
% 163.42/163.17 [949]~E(x9491,x9492)+E(f215(x9493,x9491),f215(x9493,x9492))
% 163.42/163.17 [950]~E(x9501,x9502)+E(f370(x9501,x9503,x9504),f370(x9502,x9503,x9504))
% 163.42/163.17 [951]~E(x9511,x9512)+E(f370(x9513,x9511,x9514),f370(x9513,x9512,x9514))
% 163.42/163.17 [952]~E(x9521,x9522)+E(f370(x9523,x9524,x9521),f370(x9523,x9524,x9522))
% 163.42/163.17 [953]~E(x9531,x9532)+E(f640(x9531,x9533,x9534),f640(x9532,x9533,x9534))
% 163.42/163.17 [954]~E(x9541,x9542)+E(f640(x9543,x9541,x9544),f640(x9543,x9542,x9544))
% 163.42/163.17 [955]~E(x9551,x9552)+E(f640(x9553,x9554,x9551),f640(x9553,x9554,x9552))
% 163.42/163.17 [956]~E(x9561,x9562)+E(f703(x9561,x9563,x9564,x9565,x9566),f703(x9562,x9563,x9564,x9565,x9566))
% 163.42/163.17 [957]~E(x9571,x9572)+E(f703(x9573,x9571,x9574,x9575,x9576),f703(x9573,x9572,x9574,x9575,x9576))
% 163.42/163.17 [958]~E(x9581,x9582)+E(f703(x9583,x9584,x9581,x9585,x9586),f703(x9583,x9584,x9582,x9585,x9586))
% 163.42/163.17 [959]~E(x9591,x9592)+E(f703(x9593,x9594,x9595,x9591,x9596),f703(x9593,x9594,x9595,x9592,x9596))
% 163.42/163.17 [960]~E(x9601,x9602)+E(f703(x9603,x9604,x9605,x9606,x9601),f703(x9603,x9604,x9605,x9606,x9602))
% 163.42/163.17 [961]~E(x9611,x9612)+E(f191(x9611,x9613,x9614,x9615),f191(x9612,x9613,x9614,x9615))
% 163.42/163.17 [962]~E(x9621,x9622)+E(f191(x9623,x9621,x9624,x9625),f191(x9623,x9622,x9624,x9625))
% 163.42/163.17 [963]~E(x9631,x9632)+E(f191(x9633,x9634,x9631,x9635),f191(x9633,x9634,x9632,x9635))
% 163.42/163.17 [964]~E(x9641,x9642)+E(f191(x9643,x9644,x9645,x9641),f191(x9643,x9644,x9645,x9642))
% 163.42/163.17 [965]~E(x9651,x9652)+E(f320(x9651,x9653,x9654),f320(x9652,x9653,x9654))
% 163.42/163.17 [966]~E(x9661,x9662)+E(f320(x9663,x9661,x9664),f320(x9663,x9662,x9664))
% 163.42/163.17 [967]~E(x9671,x9672)+E(f320(x9673,x9674,x9671),f320(x9673,x9674,x9672))
% 163.42/163.17 [968]~E(x9681,x9682)+E(f274(x9681,x9683),f274(x9682,x9683))
% 163.42/163.17 [969]~E(x9691,x9692)+E(f274(x9693,x9691),f274(x9693,x9692))
% 163.42/163.17 [970]~E(x9701,x9702)+E(f76(x9701,x9703,x9704,x9705),f76(x9702,x9703,x9704,x9705))
% 163.42/163.17 [971]~E(x9711,x9712)+E(f76(x9713,x9711,x9714,x9715),f76(x9713,x9712,x9714,x9715))
% 163.42/163.17 [972]~E(x9721,x9722)+E(f76(x9723,x9724,x9721,x9725),f76(x9723,x9724,x9722,x9725))
% 163.42/163.17 [973]~E(x9731,x9732)+E(f76(x9733,x9734,x9735,x9731),f76(x9733,x9734,x9735,x9732))
% 163.42/163.17 [974]~E(x9741,x9742)+E(f265(x9741,x9743),f265(x9742,x9743))
% 163.42/163.17 [975]~E(x9751,x9752)+E(f265(x9753,x9751),f265(x9753,x9752))
% 163.42/163.17 [976]~E(x9761,x9762)+E(f475(x9761,x9763,x9764,x9765),f475(x9762,x9763,x9764,x9765))
% 163.42/163.17 [977]~E(x9771,x9772)+E(f475(x9773,x9771,x9774,x9775),f475(x9773,x9772,x9774,x9775))
% 163.42/163.17 [978]~E(x9781,x9782)+E(f475(x9783,x9784,x9781,x9785),f475(x9783,x9784,x9782,x9785))
% 163.42/163.17 [979]~E(x9791,x9792)+E(f475(x9793,x9794,x9795,x9791),f475(x9793,x9794,x9795,x9792))
% 163.42/163.17 [980]~E(x9801,x9802)+E(f719(x9801,x9803,x9804),f719(x9802,x9803,x9804))
% 163.42/163.17 [981]~E(x9811,x9812)+E(f719(x9813,x9811,x9814),f719(x9813,x9812,x9814))
% 163.42/163.17 [982]~E(x9821,x9822)+E(f719(x9823,x9824,x9821),f719(x9823,x9824,x9822))
% 163.42/163.17 [983]~E(x9831,x9832)+E(f296(x9831,x9833,x9834,x9835,x9836),f296(x9832,x9833,x9834,x9835,x9836))
% 163.42/163.17 [984]~E(x9841,x9842)+E(f296(x9843,x9841,x9844,x9845,x9846),f296(x9843,x9842,x9844,x9845,x9846))
% 163.42/163.17 [985]~E(x9851,x9852)+E(f296(x9853,x9854,x9851,x9855,x9856),f296(x9853,x9854,x9852,x9855,x9856))
% 163.42/163.17 [986]~E(x9861,x9862)+E(f296(x9863,x9864,x9865,x9861,x9866),f296(x9863,x9864,x9865,x9862,x9866))
% 163.42/163.17 [987]~E(x9871,x9872)+E(f296(x9873,x9874,x9875,x9876,x9871),f296(x9873,x9874,x9875,x9876,x9872))
% 163.42/163.17 [988]~E(x9881,x9882)+E(f468(x9881,x9883,x9884,x9885),f468(x9882,x9883,x9884,x9885))
% 163.42/163.17 [989]~E(x9891,x9892)+E(f468(x9893,x9891,x9894,x9895),f468(x9893,x9892,x9894,x9895))
% 163.42/163.17 [990]~E(x9901,x9902)+E(f468(x9903,x9904,x9901,x9905),f468(x9903,x9904,x9902,x9905))
% 163.42/163.17 [991]~E(x9911,x9912)+E(f468(x9913,x9914,x9915,x9911),f468(x9913,x9914,x9915,x9912))
% 163.42/163.17 [992]~E(x9921,x9922)+E(f521(x9921,x9923,x9924),f521(x9922,x9923,x9924))
% 163.42/163.17 [993]~E(x9931,x9932)+E(f521(x9933,x9931,x9934),f521(x9933,x9932,x9934))
% 163.42/163.17 [994]~E(x9941,x9942)+E(f521(x9943,x9944,x9941),f521(x9943,x9944,x9942))
% 163.42/163.17 [995]~E(x9951,x9952)+E(f385(x9951,x9953,x9954),f385(x9952,x9953,x9954))
% 163.42/163.17 [996]~E(x9961,x9962)+E(f385(x9963,x9961,x9964),f385(x9963,x9962,x9964))
% 163.42/163.17 [997]~E(x9971,x9972)+E(f385(x9973,x9974,x9971),f385(x9973,x9974,x9972))
% 163.42/163.17 [998]~E(x9981,x9982)+E(f237(x9981,x9983),f237(x9982,x9983))
% 163.42/163.17 [999]~E(x9991,x9992)+E(f237(x9993,x9991),f237(x9993,x9992))
% 163.42/163.17 [1000]~E(x10001,x10002)+E(f387(x10001,x10003,x10004),f387(x10002,x10003,x10004))
% 163.42/163.17 [1001]~E(x10011,x10012)+E(f387(x10013,x10011,x10014),f387(x10013,x10012,x10014))
% 163.42/163.17 [1002]~E(x10021,x10022)+E(f387(x10023,x10024,x10021),f387(x10023,x10024,x10022))
% 163.42/163.17 [1003]~E(x10031,x10032)+E(f791(x10031,x10033,x10034,x10035,x10036,x10037,x10038),f791(x10032,x10033,x10034,x10035,x10036,x10037,x10038))
% 163.42/163.17 [1004]~E(x10041,x10042)+E(f791(x10043,x10041,x10044,x10045,x10046,x10047,x10048),f791(x10043,x10042,x10044,x10045,x10046,x10047,x10048))
% 163.42/163.17 [1005]~E(x10051,x10052)+E(f791(x10053,x10054,x10051,x10055,x10056,x10057,x10058),f791(x10053,x10054,x10052,x10055,x10056,x10057,x10058))
% 163.42/163.18 [1006]~E(x10061,x10062)+E(f791(x10063,x10064,x10065,x10061,x10066,x10067,x10068),f791(x10063,x10064,x10065,x10062,x10066,x10067,x10068))
% 163.42/163.18 [1007]~E(x10071,x10072)+E(f791(x10073,x10074,x10075,x10076,x10071,x10077,x10078),f791(x10073,x10074,x10075,x10076,x10072,x10077,x10078))
% 163.42/163.18 [1008]~E(x10081,x10082)+E(f791(x10083,x10084,x10085,x10086,x10087,x10081,x10088),f791(x10083,x10084,x10085,x10086,x10087,x10082,x10088))
% 163.42/163.18 [1009]~E(x10091,x10092)+E(f791(x10093,x10094,x10095,x10096,x10097,x10098,x10091),f791(x10093,x10094,x10095,x10096,x10097,x10098,x10092))
% 163.42/163.18 [1010]~E(x10101,x10102)+E(f307(x10101),f307(x10102))
% 163.42/163.18 [1011]~E(x10111,x10112)+E(f424(x10111,x10113,x10114,x10115),f424(x10112,x10113,x10114,x10115))
% 163.42/163.18 [1012]~E(x10121,x10122)+E(f424(x10123,x10121,x10124,x10125),f424(x10123,x10122,x10124,x10125))
% 163.42/163.18 [1013]~E(x10131,x10132)+E(f424(x10133,x10134,x10131,x10135),f424(x10133,x10134,x10132,x10135))
% 163.42/163.18 [1014]~E(x10141,x10142)+E(f424(x10143,x10144,x10145,x10141),f424(x10143,x10144,x10145,x10142))
% 163.42/163.18 [1015]~E(x10151,x10152)+E(f346(x10151,x10153,x10154,x10155),f346(x10152,x10153,x10154,x10155))
% 163.42/163.18 [1016]~E(x10161,x10162)+E(f346(x10163,x10161,x10164,x10165),f346(x10163,x10162,x10164,x10165))
% 163.42/163.18 [1017]~E(x10171,x10172)+E(f346(x10173,x10174,x10171,x10175),f346(x10173,x10174,x10172,x10175))
% 163.42/163.18 [1018]~E(x10181,x10182)+E(f346(x10183,x10184,x10185,x10181),f346(x10183,x10184,x10185,x10182))
% 163.42/163.18 [1019]~E(x10191,x10192)+E(f544(x10191,x10193,x10194,x10195,x10196),f544(x10192,x10193,x10194,x10195,x10196))
% 163.42/163.18 [1020]~E(x10201,x10202)+E(f544(x10203,x10201,x10204,x10205,x10206),f544(x10203,x10202,x10204,x10205,x10206))
% 163.42/163.18 [1021]~E(x10211,x10212)+E(f544(x10213,x10214,x10211,x10215,x10216),f544(x10213,x10214,x10212,x10215,x10216))
% 163.42/163.18 [1022]~E(x10221,x10222)+E(f544(x10223,x10224,x10225,x10221,x10226),f544(x10223,x10224,x10225,x10222,x10226))
% 163.42/163.18 [1023]~E(x10231,x10232)+E(f544(x10233,x10234,x10235,x10236,x10231),f544(x10233,x10234,x10235,x10236,x10232))
% 163.42/163.18 [1024]~E(x10241,x10242)+E(f745(x10241,x10243,x10244,x10245,x10246),f745(x10242,x10243,x10244,x10245,x10246))
% 163.42/163.18 [1025]~E(x10251,x10252)+E(f745(x10253,x10251,x10254,x10255,x10256),f745(x10253,x10252,x10254,x10255,x10256))
% 163.42/163.18 [1026]~E(x10261,x10262)+E(f745(x10263,x10264,x10261,x10265,x10266),f745(x10263,x10264,x10262,x10265,x10266))
% 163.42/163.18 [1027]~E(x10271,x10272)+E(f745(x10273,x10274,x10275,x10271,x10276),f745(x10273,x10274,x10275,x10272,x10276))
% 163.42/163.18 [1028]~E(x10281,x10282)+E(f745(x10283,x10284,x10285,x10286,x10281),f745(x10283,x10284,x10285,x10286,x10282))
% 163.42/163.18 [1029]~E(x10291,x10292)+E(f303(x10291),f303(x10292))
% 163.42/163.18 [1030]~E(x10301,x10302)+E(f536(x10301),f536(x10302))
% 163.42/163.18 [1031]~E(x10311,x10312)+E(f197(x10311,x10313,x10314,x10315),f197(x10312,x10313,x10314,x10315))
% 163.42/163.18 [1032]~E(x10321,x10322)+E(f197(x10323,x10321,x10324,x10325),f197(x10323,x10322,x10324,x10325))
% 163.42/163.18 [1033]~E(x10331,x10332)+E(f197(x10333,x10334,x10331,x10335),f197(x10333,x10334,x10332,x10335))
% 163.42/163.18 [1034]~E(x10341,x10342)+E(f197(x10343,x10344,x10345,x10341),f197(x10343,x10344,x10345,x10342))
% 163.42/163.18 [1035]~E(x10351,x10352)+E(f574(x10351,x10353,x10354),f574(x10352,x10353,x10354))
% 163.42/163.18 [1036]~E(x10361,x10362)+E(f574(x10363,x10361,x10364),f574(x10363,x10362,x10364))
% 163.42/163.18 [1037]~E(x10371,x10372)+E(f574(x10373,x10374,x10371),f574(x10373,x10374,x10372))
% 163.42/163.18 [1038]~E(x10381,x10382)+E(f155(x10381,x10383,x10384),f155(x10382,x10383,x10384))
% 163.42/163.18 [1039]~E(x10391,x10392)+E(f155(x10393,x10391,x10394),f155(x10393,x10392,x10394))
% 163.42/163.18 [1040]~E(x10401,x10402)+E(f155(x10403,x10404,x10401),f155(x10403,x10404,x10402))
% 163.42/163.18 [1041]~E(x10411,x10412)+E(f445(x10411,x10413,x10414,x10415),f445(x10412,x10413,x10414,x10415))
% 163.42/163.18 [1042]~E(x10421,x10422)+E(f445(x10423,x10421,x10424,x10425),f445(x10423,x10422,x10424,x10425))
% 163.42/163.18 [1043]~E(x10431,x10432)+E(f445(x10433,x10434,x10431,x10435),f445(x10433,x10434,x10432,x10435))
% 163.42/163.18 [1044]~E(x10441,x10442)+E(f445(x10443,x10444,x10445,x10441),f445(x10443,x10444,x10445,x10442))
% 163.42/163.18 [1045]~E(x10451,x10452)+E(f753(x10451,x10453,x10454,x10455),f753(x10452,x10453,x10454,x10455))
% 163.42/163.18 [1046]~E(x10461,x10462)+E(f753(x10463,x10461,x10464,x10465),f753(x10463,x10462,x10464,x10465))
% 163.42/163.18 [1047]~E(x10471,x10472)+E(f753(x10473,x10474,x10471,x10475),f753(x10473,x10474,x10472,x10475))
% 163.42/163.18 [1048]~E(x10481,x10482)+E(f753(x10483,x10484,x10485,x10481),f753(x10483,x10484,x10485,x10482))
% 163.42/163.18 [1049]~E(x10491,x10492)+E(f733(x10491,x10493),f733(x10492,x10493))
% 163.42/163.18 [1050]~E(x10501,x10502)+E(f733(x10503,x10501),f733(x10503,x10502))
% 163.42/163.18 [1051]~E(x10511,x10512)+E(f507(x10511,x10513,x10514,x10515,x10516,x10517,x10518,x10519),f507(x10512,x10513,x10514,x10515,x10516,x10517,x10518,x10519))
% 163.42/163.18 [1052]~E(x10521,x10522)+E(f507(x10523,x10521,x10524,x10525,x10526,x10527,x10528,x10529),f507(x10523,x10522,x10524,x10525,x10526,x10527,x10528,x10529))
% 163.42/163.18 [1053]~E(x10531,x10532)+E(f507(x10533,x10534,x10531,x10535,x10536,x10537,x10538,x10539),f507(x10533,x10534,x10532,x10535,x10536,x10537,x10538,x10539))
% 163.42/163.18 [1054]~E(x10541,x10542)+E(f507(x10543,x10544,x10545,x10541,x10546,x10547,x10548,x10549),f507(x10543,x10544,x10545,x10542,x10546,x10547,x10548,x10549))
% 163.42/163.18 [1055]~E(x10551,x10552)+E(f507(x10553,x10554,x10555,x10556,x10551,x10557,x10558,x10559),f507(x10553,x10554,x10555,x10556,x10552,x10557,x10558,x10559))
% 163.42/163.18 [1056]~E(x10561,x10562)+E(f507(x10563,x10564,x10565,x10566,x10567,x10561,x10568,x10569),f507(x10563,x10564,x10565,x10566,x10567,x10562,x10568,x10569))
% 163.42/163.18 [1057]~E(x10571,x10572)+E(f507(x10573,x10574,x10575,x10576,x10577,x10578,x10571,x10579),f507(x10573,x10574,x10575,x10576,x10577,x10578,x10572,x10579))
% 163.42/163.18 [1058]~E(x10581,x10582)+E(f507(x10583,x10584,x10585,x10586,x10587,x10588,x10589,x10581),f507(x10583,x10584,x10585,x10586,x10587,x10588,x10589,x10582))
% 163.42/163.18 [1059]~E(x10591,x10592)+E(f599(x10591,x10593,x10594),f599(x10592,x10593,x10594))
% 163.42/163.18 [1060]~E(x10601,x10602)+E(f599(x10603,x10601,x10604),f599(x10603,x10602,x10604))
% 163.42/163.18 [1061]~E(x10611,x10612)+E(f599(x10613,x10614,x10611),f599(x10613,x10614,x10612))
% 163.42/163.18 [1062]~E(x10621,x10622)+E(f568(x10621,x10623,x10624),f568(x10622,x10623,x10624))
% 163.42/163.18 [1063]~E(x10631,x10632)+E(f568(x10633,x10631,x10634),f568(x10633,x10632,x10634))
% 163.42/163.18 [1064]~E(x10641,x10642)+E(f568(x10643,x10644,x10641),f568(x10643,x10644,x10642))
% 163.42/163.18 [1065]~E(x10651,x10652)+E(f580(x10651),f580(x10652))
% 163.42/163.18 [1066]~E(x10661,x10662)+E(f311(x10661,x10663),f311(x10662,x10663))
% 163.42/163.18 [1067]~E(x10671,x10672)+E(f311(x10673,x10671),f311(x10673,x10672))
% 163.42/163.18 [1068]~E(x10681,x10682)+E(f205(x10681),f205(x10682))
% 163.42/163.18 [1069]~E(x10691,x10692)+E(f696(x10691,x10693,x10694,x10695,x10696),f696(x10692,x10693,x10694,x10695,x10696))
% 163.42/163.18 [1070]~E(x10701,x10702)+E(f696(x10703,x10701,x10704,x10705,x10706),f696(x10703,x10702,x10704,x10705,x10706))
% 163.42/163.18 [1071]~E(x10711,x10712)+E(f696(x10713,x10714,x10711,x10715,x10716),f696(x10713,x10714,x10712,x10715,x10716))
% 163.42/163.18 [1072]~E(x10721,x10722)+E(f696(x10723,x10724,x10725,x10721,x10726),f696(x10723,x10724,x10725,x10722,x10726))
% 163.42/163.18 [1073]~E(x10731,x10732)+E(f696(x10733,x10734,x10735,x10736,x10731),f696(x10733,x10734,x10735,x10736,x10732))
% 163.42/163.18 [1074]~E(x10741,x10742)+E(f681(x10741,x10743,x10744,x10745,x10746),f681(x10742,x10743,x10744,x10745,x10746))
% 163.42/163.18 [1075]~E(x10751,x10752)+E(f681(x10753,x10751,x10754,x10755,x10756),f681(x10753,x10752,x10754,x10755,x10756))
% 163.42/163.18 [1076]~E(x10761,x10762)+E(f681(x10763,x10764,x10761,x10765,x10766),f681(x10763,x10764,x10762,x10765,x10766))
% 163.42/163.18 [1077]~E(x10771,x10772)+E(f681(x10773,x10774,x10775,x10771,x10776),f681(x10773,x10774,x10775,x10772,x10776))
% 163.42/163.18 [1078]~E(x10781,x10782)+E(f681(x10783,x10784,x10785,x10786,x10781),f681(x10783,x10784,x10785,x10786,x10782))
% 163.42/163.18 [1079]~E(x10791,x10792)+E(f199(x10791,x10793,x10794,x10795),f199(x10792,x10793,x10794,x10795))
% 163.42/163.18 [1080]~E(x10801,x10802)+E(f199(x10803,x10801,x10804,x10805),f199(x10803,x10802,x10804,x10805))
% 163.42/163.18 [1081]~E(x10811,x10812)+E(f199(x10813,x10814,x10811,x10815),f199(x10813,x10814,x10812,x10815))
% 163.42/163.18 [1082]~E(x10821,x10822)+E(f199(x10823,x10824,x10825,x10821),f199(x10823,x10824,x10825,x10822))
% 163.42/163.18 [1083]~E(x10831,x10832)+E(f840(x10831,x10833,x10834,x10835,x10836,x10837,x10838,x10839),f840(x10832,x10833,x10834,x10835,x10836,x10837,x10838,x10839))
% 163.42/163.18 [1084]~E(x10841,x10842)+E(f840(x10843,x10841,x10844,x10845,x10846,x10847,x10848,x10849),f840(x10843,x10842,x10844,x10845,x10846,x10847,x10848,x10849))
% 163.42/163.18 [1085]~E(x10851,x10852)+E(f840(x10853,x10854,x10851,x10855,x10856,x10857,x10858,x10859),f840(x10853,x10854,x10852,x10855,x10856,x10857,x10858,x10859))
% 163.42/163.18 [1086]~E(x10861,x10862)+E(f840(x10863,x10864,x10865,x10861,x10866,x10867,x10868,x10869),f840(x10863,x10864,x10865,x10862,x10866,x10867,x10868,x10869))
% 163.42/163.18 [1087]~E(x10871,x10872)+E(f840(x10873,x10874,x10875,x10876,x10871,x10877,x10878,x10879),f840(x10873,x10874,x10875,x10876,x10872,x10877,x10878,x10879))
% 163.42/163.18 [1088]~E(x10881,x10882)+E(f840(x10883,x10884,x10885,x10886,x10887,x10881,x10888,x10889),f840(x10883,x10884,x10885,x10886,x10887,x10882,x10888,x10889))
% 163.42/163.18 [1089]~E(x10891,x10892)+E(f840(x10893,x10894,x10895,x10896,x10897,x10898,x10891,x10899),f840(x10893,x10894,x10895,x10896,x10897,x10898,x10892,x10899))
% 163.42/163.18 [1090]~E(x10901,x10902)+E(f840(x10903,x10904,x10905,x10906,x10907,x10908,x10909,x10901),f840(x10903,x10904,x10905,x10906,x10907,x10908,x10909,x10902))
% 163.42/163.18 [1091]~E(x10911,x10912)+E(f287(x10911,x10913),f287(x10912,x10913))
% 163.42/163.18 [1092]~E(x10921,x10922)+E(f287(x10923,x10921),f287(x10923,x10922))
% 163.42/163.18 [1093]~E(x10931,x10932)+E(f390(x10931,x10933,x10934),f390(x10932,x10933,x10934))
% 163.42/163.18 [1094]~E(x10941,x10942)+E(f390(x10943,x10941,x10944),f390(x10943,x10942,x10944))
% 163.42/163.18 [1095]~E(x10951,x10952)+E(f390(x10953,x10954,x10951),f390(x10953,x10954,x10952))
% 163.42/163.18 [1096]~E(x10961,x10962)+E(f602(x10961,x10963,x10964),f602(x10962,x10963,x10964))
% 163.42/163.18 [1097]~E(x10971,x10972)+E(f602(x10973,x10971,x10974),f602(x10973,x10972,x10974))
% 163.42/163.18 [1098]~E(x10981,x10982)+E(f602(x10983,x10984,x10981),f602(x10983,x10984,x10982))
% 163.42/163.18 [1099]~E(x10991,x10992)+E(f409(x10991,x10993),f409(x10992,x10993))
% 163.42/163.18 [1100]~E(x11001,x11002)+E(f409(x11003,x11001),f409(x11003,x11002))
% 163.42/163.18 [1101]~E(x11011,x11012)+E(f560(x11011,x11013,x11014,x11015,x11016,x11017),f560(x11012,x11013,x11014,x11015,x11016,x11017))
% 163.42/163.18 [1102]~E(x11021,x11022)+E(f560(x11023,x11021,x11024,x11025,x11026,x11027),f560(x11023,x11022,x11024,x11025,x11026,x11027))
% 163.42/163.18 [1103]~E(x11031,x11032)+E(f560(x11033,x11034,x11031,x11035,x11036,x11037),f560(x11033,x11034,x11032,x11035,x11036,x11037))
% 163.42/163.18 [1104]~E(x11041,x11042)+E(f560(x11043,x11044,x11045,x11041,x11046,x11047),f560(x11043,x11044,x11045,x11042,x11046,x11047))
% 163.42/163.18 [1105]~E(x11051,x11052)+E(f560(x11053,x11054,x11055,x11056,x11051,x11057),f560(x11053,x11054,x11055,x11056,x11052,x11057))
% 163.42/163.18 [1106]~E(x11061,x11062)+E(f560(x11063,x11064,x11065,x11066,x11067,x11061),f560(x11063,x11064,x11065,x11066,x11067,x11062))
% 163.42/163.18 [1107]~E(x11071,x11072)+E(f769(x11071,x11073,x11074,x11075),f769(x11072,x11073,x11074,x11075))
% 163.42/163.18 [1108]~E(x11081,x11082)+E(f769(x11083,x11081,x11084,x11085),f769(x11083,x11082,x11084,x11085))
% 163.42/163.18 [1109]~E(x11091,x11092)+E(f769(x11093,x11094,x11091,x11095),f769(x11093,x11094,x11092,x11095))
% 163.42/163.18 [1110]~E(x11101,x11102)+E(f769(x11103,x11104,x11105,x11101),f769(x11103,x11104,x11105,x11102))
% 163.42/163.18 [1111]~E(x11111,x11112)+E(f87(x11111),f87(x11112))
% 163.42/163.18 [1112]~E(x11121,x11122)+E(f709(x11121,x11123),f709(x11122,x11123))
% 163.42/163.18 [1113]~E(x11131,x11132)+E(f709(x11133,x11131),f709(x11133,x11132))
% 163.42/163.18 [1114]~E(x11141,x11142)+E(f868(x11141,x11143,x11144),f868(x11142,x11143,x11144))
% 163.42/163.18 [1115]~E(x11151,x11152)+E(f868(x11153,x11151,x11154),f868(x11153,x11152,x11154))
% 163.42/163.18 [1116]~E(x11161,x11162)+E(f868(x11163,x11164,x11161),f868(x11163,x11164,x11162))
% 163.42/163.18 [1117]~E(x11171,x11172)+E(f771(x11171,x11173,x11174,x11175),f771(x11172,x11173,x11174,x11175))
% 163.42/163.18 [1118]~E(x11181,x11182)+E(f771(x11183,x11181,x11184,x11185),f771(x11183,x11182,x11184,x11185))
% 163.42/163.18 [1119]~E(x11191,x11192)+E(f771(x11193,x11194,x11191,x11195),f771(x11193,x11194,x11192,x11195))
% 163.42/163.18 [1120]~E(x11201,x11202)+E(f771(x11203,x11204,x11205,x11201),f771(x11203,x11204,x11205,x11202))
% 163.42/163.18 [1121]~E(x11211,x11212)+E(f225(x11211,x11213,x11214,x11215,x11216),f225(x11212,x11213,x11214,x11215,x11216))
% 163.42/163.18 [1122]~E(x11221,x11222)+E(f225(x11223,x11221,x11224,x11225,x11226),f225(x11223,x11222,x11224,x11225,x11226))
% 163.42/163.18 [1123]~E(x11231,x11232)+E(f225(x11233,x11234,x11231,x11235,x11236),f225(x11233,x11234,x11232,x11235,x11236))
% 163.42/163.18 [1124]~E(x11241,x11242)+E(f225(x11243,x11244,x11245,x11241,x11246),f225(x11243,x11244,x11245,x11242,x11246))
% 163.42/163.18 [1125]~E(x11251,x11252)+E(f225(x11253,x11254,x11255,x11256,x11251),f225(x11253,x11254,x11255,x11256,x11252))
% 163.42/163.18 [1126]~E(x11261,x11262)+E(f623(x11261,x11263,x11264,x11265,x11266),f623(x11262,x11263,x11264,x11265,x11266))
% 163.42/163.18 [1127]~E(x11271,x11272)+E(f623(x11273,x11271,x11274,x11275,x11276),f623(x11273,x11272,x11274,x11275,x11276))
% 163.42/163.18 [1128]~E(x11281,x11282)+E(f623(x11283,x11284,x11281,x11285,x11286),f623(x11283,x11284,x11282,x11285,x11286))
% 163.42/163.18 [1129]~E(x11291,x11292)+E(f623(x11293,x11294,x11295,x11291,x11296),f623(x11293,x11294,x11295,x11292,x11296))
% 163.42/163.18 [1130]~E(x11301,x11302)+E(f623(x11303,x11304,x11305,x11306,x11301),f623(x11303,x11304,x11305,x11306,x11302))
% 163.42/163.18 [1131]~E(x11311,x11312)+E(f116(x11311,x11313,x11314),f116(x11312,x11313,x11314))
% 163.42/163.18 [1132]~E(x11321,x11322)+E(f116(x11323,x11321,x11324),f116(x11323,x11322,x11324))
% 163.42/163.18 [1133]~E(x11331,x11332)+E(f116(x11333,x11334,x11331),f116(x11333,x11334,x11332))
% 163.42/163.18 [1134]~E(x11341,x11342)+E(f318(x11341,x11343,x11344,x11345),f318(x11342,x11343,x11344,x11345))
% 163.42/163.18 [1135]~E(x11351,x11352)+E(f318(x11353,x11351,x11354,x11355),f318(x11353,x11352,x11354,x11355))
% 163.42/163.18 [1136]~E(x11361,x11362)+E(f318(x11363,x11364,x11361,x11365),f318(x11363,x11364,x11362,x11365))
% 163.42/163.18 [1137]~E(x11371,x11372)+E(f318(x11373,x11374,x11375,x11371),f318(x11373,x11374,x11375,x11372))
% 163.42/163.18 [1138]~E(x11381,x11382)+E(f443(x11381),f443(x11382))
% 163.42/163.18 [1139]~E(x11391,x11392)+E(f358(x11391,x11393,x11394,x11395),f358(x11392,x11393,x11394,x11395))
% 163.42/163.18 [1140]~E(x11401,x11402)+E(f358(x11403,x11401,x11404,x11405),f358(x11403,x11402,x11404,x11405))
% 163.42/163.18 [1141]~E(x11411,x11412)+E(f358(x11413,x11414,x11411,x11415),f358(x11413,x11414,x11412,x11415))
% 163.42/163.18 [1142]~E(x11421,x11422)+E(f358(x11423,x11424,x11425,x11421),f358(x11423,x11424,x11425,x11422))
% 163.42/163.18 [1143]~E(x11431,x11432)+E(f613(x11431,x11433,x11434,x11435,x11436),f613(x11432,x11433,x11434,x11435,x11436))
% 163.42/163.18 [1144]~E(x11441,x11442)+E(f613(x11443,x11441,x11444,x11445,x11446),f613(x11443,x11442,x11444,x11445,x11446))
% 163.42/163.18 [1145]~E(x11451,x11452)+E(f613(x11453,x11454,x11451,x11455,x11456),f613(x11453,x11454,x11452,x11455,x11456))
% 163.42/163.18 [1146]~E(x11461,x11462)+E(f613(x11463,x11464,x11465,x11461,x11466),f613(x11463,x11464,x11465,x11462,x11466))
% 163.42/163.18 [1147]~E(x11471,x11472)+E(f613(x11473,x11474,x11475,x11476,x11471),f613(x11473,x11474,x11475,x11476,x11472))
% 163.42/163.18 [1148]~E(x11481,x11482)+E(f657(x11481,x11483,x11484,x11485),f657(x11482,x11483,x11484,x11485))
% 163.42/163.18 [1149]~E(x11491,x11492)+E(f657(x11493,x11491,x11494,x11495),f657(x11493,x11492,x11494,x11495))
% 163.42/163.18 [1150]~E(x11501,x11502)+E(f657(x11503,x11504,x11501,x11505),f657(x11503,x11504,x11502,x11505))
% 163.42/163.18 [1151]~E(x11511,x11512)+E(f657(x11513,x11514,x11515,x11511),f657(x11513,x11514,x11515,x11512))
% 163.42/163.18 [1152]~E(x11521,x11522)+E(f52(x11521,x11523),f52(x11522,x11523))
% 163.42/163.18 [1153]~E(x11531,x11532)+E(f52(x11533,x11531),f52(x11533,x11532))
% 163.42/163.18 [1154]~E(x11541,x11542)+E(f778(x11541,x11543,x11544,x11545),f778(x11542,x11543,x11544,x11545))
% 163.42/163.18 [1155]~E(x11551,x11552)+E(f778(x11553,x11551,x11554,x11555),f778(x11553,x11552,x11554,x11555))
% 163.42/163.18 [1156]~E(x11561,x11562)+E(f778(x11563,x11564,x11561,x11565),f778(x11563,x11564,x11562,x11565))
% 163.42/163.18 [1157]~E(x11571,x11572)+E(f778(x11573,x11574,x11575,x11571),f778(x11573,x11574,x11575,x11572))
% 163.42/163.18 [1158]~E(x11581,x11582)+E(f621(x11581,x11583),f621(x11582,x11583))
% 163.42/163.18 [1159]~E(x11591,x11592)+E(f621(x11593,x11591),f621(x11593,x11592))
% 163.42/163.18 [1160]~E(x11601,x11602)+E(f627(x11601,x11603,x11604,x11605,x11606),f627(x11602,x11603,x11604,x11605,x11606))
% 163.42/163.18 [1161]~E(x11611,x11612)+E(f627(x11613,x11611,x11614,x11615,x11616),f627(x11613,x11612,x11614,x11615,x11616))
% 163.42/163.18 [1162]~E(x11621,x11622)+E(f627(x11623,x11624,x11621,x11625,x11626),f627(x11623,x11624,x11622,x11625,x11626))
% 163.42/163.18 [1163]~E(x11631,x11632)+E(f627(x11633,x11634,x11635,x11631,x11636),f627(x11633,x11634,x11635,x11632,x11636))
% 163.42/163.18 [1164]~E(x11641,x11642)+E(f627(x11643,x11644,x11645,x11646,x11641),f627(x11643,x11644,x11645,x11646,x11642))
% 163.42/163.18 [1165]~E(x11651,x11652)+E(f132(x11651,x11653),f132(x11652,x11653))
% 163.42/163.18 [1166]~E(x11661,x11662)+E(f132(x11663,x11661),f132(x11663,x11662))
% 163.42/163.18 [1167]~E(x11671,x11672)+E(f714(x11671,x11673,x11674),f714(x11672,x11673,x11674))
% 163.42/163.18 [1168]~E(x11681,x11682)+E(f714(x11683,x11681,x11684),f714(x11683,x11682,x11684))
% 163.42/163.18 [1169]~E(x11691,x11692)+E(f714(x11693,x11694,x11691),f714(x11693,x11694,x11692))
% 163.42/163.18 [1170]~E(x11701,x11702)+E(f228(x11701,x11703),f228(x11702,x11703))
% 163.42/163.18 [1171]~E(x11711,x11712)+E(f228(x11713,x11711),f228(x11713,x11712))
% 163.42/163.18 [1172]~E(x11721,x11722)+E(f334(x11721,x11723),f334(x11722,x11723))
% 163.42/163.18 [1173]~E(x11731,x11732)+E(f334(x11733,x11731),f334(x11733,x11732))
% 163.42/163.18 [1174]~E(x11741,x11742)+E(f66(x11741,x11743,x11744),f66(x11742,x11743,x11744))
% 163.42/163.18 [1175]~E(x11751,x11752)+E(f66(x11753,x11751,x11754),f66(x11753,x11752,x11754))
% 163.42/163.18 [1176]~E(x11761,x11762)+E(f66(x11763,x11764,x11761),f66(x11763,x11764,x11762))
% 163.42/163.18 [1177]~E(x11771,x11772)+E(f541(x11771,x11773),f541(x11772,x11773))
% 163.42/163.18 [1178]~E(x11781,x11782)+E(f541(x11783,x11781),f541(x11783,x11782))
% 163.42/163.18 [1179]~E(x11791,x11792)+E(f590(x11791,x11793,x11794,x11795,x11796,x11797),f590(x11792,x11793,x11794,x11795,x11796,x11797))
% 163.42/163.18 [1180]~E(x11801,x11802)+E(f590(x11803,x11801,x11804,x11805,x11806,x11807),f590(x11803,x11802,x11804,x11805,x11806,x11807))
% 163.42/163.18 [1181]~E(x11811,x11812)+E(f590(x11813,x11814,x11811,x11815,x11816,x11817),f590(x11813,x11814,x11812,x11815,x11816,x11817))
% 163.42/163.18 [1182]~E(x11821,x11822)+E(f590(x11823,x11824,x11825,x11821,x11826,x11827),f590(x11823,x11824,x11825,x11822,x11826,x11827))
% 163.42/163.18 [1183]~E(x11831,x11832)+E(f590(x11833,x11834,x11835,x11836,x11831,x11837),f590(x11833,x11834,x11835,x11836,x11832,x11837))
% 163.42/163.18 [1184]~E(x11841,x11842)+E(f590(x11843,x11844,x11845,x11846,x11847,x11841),f590(x11843,x11844,x11845,x11846,x11847,x11842))
% 163.42/163.18 [1185]~E(x11851,x11852)+E(f42(x11851),f42(x11852))
% 163.42/163.18 [1186]~E(x11861,x11862)+E(f516(x11861,x11863,x11864),f516(x11862,x11863,x11864))
% 163.42/163.18 [1187]~E(x11871,x11872)+E(f516(x11873,x11871,x11874),f516(x11873,x11872,x11874))
% 163.42/163.18 [1188]~E(x11881,x11882)+E(f516(x11883,x11884,x11881),f516(x11883,x11884,x11882))
% 163.42/163.18 [1189]~E(x11891,x11892)+E(f710(x11891,x11893),f710(x11892,x11893))
% 163.42/163.18 [1190]~E(x11901,x11902)+E(f710(x11903,x11901),f710(x11903,x11902))
% 163.42/163.18 [1191]~E(x11911,x11912)+E(f682(x11911,x11913),f682(x11912,x11913))
% 163.42/163.18 [1192]~E(x11921,x11922)+E(f682(x11923,x11921),f682(x11923,x11922))
% 163.42/163.18 [1193]~E(x11931,x11932)+E(f632(x11931,x11933,x11934,x11935,x11936),f632(x11932,x11933,x11934,x11935,x11936))
% 163.42/163.18 [1194]~E(x11941,x11942)+E(f632(x11943,x11941,x11944,x11945,x11946),f632(x11943,x11942,x11944,x11945,x11946))
% 163.42/163.18 [1195]~E(x11951,x11952)+E(f632(x11953,x11954,x11951,x11955,x11956),f632(x11953,x11954,x11952,x11955,x11956))
% 163.42/163.18 [1196]~E(x11961,x11962)+E(f632(x11963,x11964,x11965,x11961,x11966),f632(x11963,x11964,x11965,x11962,x11966))
% 163.42/163.18 [1197]~E(x11971,x11972)+E(f632(x11973,x11974,x11975,x11976,x11971),f632(x11973,x11974,x11975,x11976,x11972))
% 163.42/163.18 [1198]~E(x11981,x11982)+E(f249(x11981,x11983,x11984),f249(x11982,x11983,x11984))
% 163.42/163.18 [1199]~E(x11991,x11992)+E(f249(x11993,x11991,x11994),f249(x11993,x11992,x11994))
% 163.42/163.18 [1200]~E(x12001,x12002)+E(f249(x12003,x12004,x12001),f249(x12003,x12004,x12002))
% 163.42/163.18 [1201]~E(x12011,x12012)+E(f200(x12011,x12013),f200(x12012,x12013))
% 163.42/163.18 [1202]~E(x12021,x12022)+E(f200(x12023,x12021),f200(x12023,x12022))
% 163.42/163.18 [1203]~E(x12031,x12032)+E(f219(x12031,x12033),f219(x12032,x12033))
% 163.42/163.18 [1204]~E(x12041,x12042)+E(f219(x12043,x12041),f219(x12043,x12042))
% 163.42/163.18 [1205]~E(x12051,x12052)+E(f312(x12051,x12053,x12054,x12055),f312(x12052,x12053,x12054,x12055))
% 163.42/163.18 [1206]~E(x12061,x12062)+E(f312(x12063,x12061,x12064,x12065),f312(x12063,x12062,x12064,x12065))
% 163.42/163.18 [1207]~E(x12071,x12072)+E(f312(x12073,x12074,x12071,x12075),f312(x12073,x12074,x12072,x12075))
% 163.42/163.18 [1208]~E(x12081,x12082)+E(f312(x12083,x12084,x12085,x12081),f312(x12083,x12084,x12085,x12082))
% 163.42/163.18 [1209]~E(x12091,x12092)+E(f408(x12091,x12093),f408(x12092,x12093))
% 163.42/163.18 [1210]~E(x12101,x12102)+E(f408(x12103,x12101),f408(x12103,x12102))
% 163.42/163.18 [1211]~E(x12111,x12112)+E(f803(x12111,x12113),f803(x12112,x12113))
% 163.42/163.18 [1212]~E(x12121,x12122)+E(f803(x12123,x12121),f803(x12123,x12122))
% 163.42/163.18 [1213]~E(x12131,x12132)+E(f340(x12131,x12133,x12134),f340(x12132,x12133,x12134))
% 163.42/163.18 [1214]~E(x12141,x12142)+E(f340(x12143,x12141,x12144),f340(x12143,x12142,x12144))
% 163.42/163.18 [1215]~E(x12151,x12152)+E(f340(x12153,x12154,x12151),f340(x12153,x12154,x12152))
% 163.42/163.18 [1216]~E(x12161,x12162)+E(f354(x12161,x12163,x12164,x12165,x12166),f354(x12162,x12163,x12164,x12165,x12166))
% 163.42/163.18 [1217]~E(x12171,x12172)+E(f354(x12173,x12171,x12174,x12175,x12176),f354(x12173,x12172,x12174,x12175,x12176))
% 163.42/163.18 [1218]~E(x12181,x12182)+E(f354(x12183,x12184,x12181,x12185,x12186),f354(x12183,x12184,x12182,x12185,x12186))
% 163.42/163.18 [1219]~E(x12191,x12192)+E(f354(x12193,x12194,x12195,x12191,x12196),f354(x12193,x12194,x12195,x12192,x12196))
% 163.42/163.18 [1220]~E(x12201,x12202)+E(f354(x12203,x12204,x12205,x12206,x12201),f354(x12203,x12204,x12205,x12206,x12202))
% 163.42/163.18 [1221]~E(x12211,x12212)+E(f804(x12211,x12213),f804(x12212,x12213))
% 163.42/163.18 [1222]~E(x12221,x12222)+E(f804(x12223,x12221),f804(x12223,x12222))
% 163.42/163.18 [1223]~E(x12231,x12232)+E(f388(x12231,x12233,x12234,x12235),f388(x12232,x12233,x12234,x12235))
% 163.42/163.18 [1224]~E(x12241,x12242)+E(f388(x12243,x12241,x12244,x12245),f388(x12243,x12242,x12244,x12245))
% 163.42/163.18 [1225]~E(x12251,x12252)+E(f388(x12253,x12254,x12251,x12255),f388(x12253,x12254,x12252,x12255))
% 163.42/163.18 [1226]~E(x12261,x12262)+E(f388(x12263,x12264,x12265,x12261),f388(x12263,x12264,x12265,x12262))
% 163.42/163.18 [1227]~E(x12271,x12272)+E(f246(x12271,x12273,x12274),f246(x12272,x12273,x12274))
% 163.42/163.18 [1228]~E(x12281,x12282)+E(f246(x12283,x12281,x12284),f246(x12283,x12282,x12284))
% 163.42/163.18 [1229]~E(x12291,x12292)+E(f246(x12293,x12294,x12291),f246(x12293,x12294,x12292))
% 163.42/163.18 [1230]~E(x12301,x12302)+E(f784(x12301,x12303,x12304),f784(x12302,x12303,x12304))
% 163.42/163.18 [1231]~E(x12311,x12312)+E(f784(x12313,x12311,x12314),f784(x12313,x12312,x12314))
% 163.42/163.18 [1232]~E(x12321,x12322)+E(f784(x12323,x12324,x12321),f784(x12323,x12324,x12322))
% 163.42/163.18 [1233]~E(x12331,x12332)+E(f885(x12331,x12333,x12334),f885(x12332,x12333,x12334))
% 163.42/163.18 [1234]~E(x12341,x12342)+E(f885(x12343,x12341,x12344),f885(x12343,x12342,x12344))
% 163.42/163.18 [1235]~E(x12351,x12352)+E(f885(x12353,x12354,x12351),f885(x12353,x12354,x12352))
% 163.42/163.18 [1236]~E(x12361,x12362)+E(f61(x12361,x12363,x12364),f61(x12362,x12363,x12364))
% 163.42/163.18 [1237]~E(x12371,x12372)+E(f61(x12373,x12371,x12374),f61(x12373,x12372,x12374))
% 163.42/163.18 [1238]~E(x12381,x12382)+E(f61(x12383,x12384,x12381),f61(x12383,x12384,x12382))
% 163.42/163.18 [1239]~E(x12391,x12392)+E(f212(x12391,x12393,x12394,x12395,x12396,x12397,x12398),f212(x12392,x12393,x12394,x12395,x12396,x12397,x12398))
% 163.42/163.18 [1240]~E(x12401,x12402)+E(f212(x12403,x12401,x12404,x12405,x12406,x12407,x12408),f212(x12403,x12402,x12404,x12405,x12406,x12407,x12408))
% 163.42/163.18 [1241]~E(x12411,x12412)+E(f212(x12413,x12414,x12411,x12415,x12416,x12417,x12418),f212(x12413,x12414,x12412,x12415,x12416,x12417,x12418))
% 163.42/163.18 [1242]~E(x12421,x12422)+E(f212(x12423,x12424,x12425,x12421,x12426,x12427,x12428),f212(x12423,x12424,x12425,x12422,x12426,x12427,x12428))
% 163.42/163.18 [1243]~E(x12431,x12432)+E(f212(x12433,x12434,x12435,x12436,x12431,x12437,x12438),f212(x12433,x12434,x12435,x12436,x12432,x12437,x12438))
% 163.42/163.18 [1244]~E(x12441,x12442)+E(f212(x12443,x12444,x12445,x12446,x12447,x12441,x12448),f212(x12443,x12444,x12445,x12446,x12447,x12442,x12448))
% 163.42/163.18 [1245]~E(x12451,x12452)+E(f212(x12453,x12454,x12455,x12456,x12457,x12458,x12451),f212(x12453,x12454,x12455,x12456,x12457,x12458,x12452))
% 163.42/163.18 [1246]~E(x12461,x12462)+E(f724(x12461,x12463,x12464,x12465),f724(x12462,x12463,x12464,x12465))
% 163.42/163.18 [1247]~E(x12471,x12472)+E(f724(x12473,x12471,x12474,x12475),f724(x12473,x12472,x12474,x12475))
% 163.42/163.18 [1248]~E(x12481,x12482)+E(f724(x12483,x12484,x12481,x12485),f724(x12483,x12484,x12482,x12485))
% 163.42/163.18 [1249]~E(x12491,x12492)+E(f724(x12493,x12494,x12495,x12491),f724(x12493,x12494,x12495,x12492))
% 163.42/163.18 [1250]~E(x12501,x12502)+E(f728(x12501,x12503),f728(x12502,x12503))
% 163.42/163.18 [1251]~E(x12511,x12512)+E(f728(x12513,x12511),f728(x12513,x12512))
% 163.42/163.18 [1252]~E(x12521,x12522)+E(f173(x12521,x12523,x12524),f173(x12522,x12523,x12524))
% 163.42/163.18 [1253]~E(x12531,x12532)+E(f173(x12533,x12531,x12534),f173(x12533,x12532,x12534))
% 163.42/163.18 [1254]~E(x12541,x12542)+E(f173(x12543,x12544,x12541),f173(x12543,x12544,x12542))
% 163.42/163.18 [1255]~E(x12551,x12552)+E(f223(x12551,x12553,x12554),f223(x12552,x12553,x12554))
% 163.42/163.18 [1256]~E(x12561,x12562)+E(f223(x12563,x12561,x12564),f223(x12563,x12562,x12564))
% 163.42/163.18 [1257]~E(x12571,x12572)+E(f223(x12573,x12574,x12571),f223(x12573,x12574,x12572))
% 163.42/163.18 [1258]~E(x12581,x12582)+E(f526(x12581,x12583),f526(x12582,x12583))
% 163.42/163.18 [1259]~E(x12591,x12592)+E(f526(x12593,x12591),f526(x12593,x12592))
% 163.42/163.18 [1260]~E(x12601,x12602)+E(f649(x12601,x12603,x12604,x12605),f649(x12602,x12603,x12604,x12605))
% 163.42/163.18 [1261]~E(x12611,x12612)+E(f649(x12613,x12611,x12614,x12615),f649(x12613,x12612,x12614,x12615))
% 163.42/163.18 [1262]~E(x12621,x12622)+E(f649(x12623,x12624,x12621,x12625),f649(x12623,x12624,x12622,x12625))
% 163.42/163.18 [1263]~E(x12631,x12632)+E(f649(x12633,x12634,x12635,x12631),f649(x12633,x12634,x12635,x12632))
% 163.42/163.18 [1264]~E(x12641,x12642)+E(f539(x12641,x12643,x12644),f539(x12642,x12643,x12644))
% 163.42/163.18 [1265]~E(x12651,x12652)+E(f539(x12653,x12651,x12654),f539(x12653,x12652,x12654))
% 163.42/163.18 [1266]~E(x12661,x12662)+E(f539(x12663,x12664,x12661),f539(x12663,x12664,x12662))
% 163.42/163.18 [1267]~E(x12671,x12672)+E(f259(x12671,x12673,x12674,x12675,x12676),f259(x12672,x12673,x12674,x12675,x12676))
% 163.42/163.18 [1268]~E(x12681,x12682)+E(f259(x12683,x12681,x12684,x12685,x12686),f259(x12683,x12682,x12684,x12685,x12686))
% 163.42/163.18 [1269]~E(x12691,x12692)+E(f259(x12693,x12694,x12691,x12695,x12696),f259(x12693,x12694,x12692,x12695,x12696))
% 163.42/163.18 [1270]~E(x12701,x12702)+E(f259(x12703,x12704,x12705,x12701,x12706),f259(x12703,x12704,x12705,x12702,x12706))
% 163.42/163.18 [1271]~E(x12711,x12712)+E(f259(x12713,x12714,x12715,x12716,x12711),f259(x12713,x12714,x12715,x12716,x12712))
% 163.42/163.18 [1272]~E(x12721,x12722)+E(f674(x12721,x12723,x12724),f674(x12722,x12723,x12724))
% 163.42/163.18 [1273]~E(x12731,x12732)+E(f674(x12733,x12731,x12734),f674(x12733,x12732,x12734))
% 163.42/163.18 [1274]~E(x12741,x12742)+E(f674(x12743,x12744,x12741),f674(x12743,x12744,x12742))
% 163.42/163.18 [1275]~E(x12751,x12752)+E(f883(x12751,x12753,x12754),f883(x12752,x12753,x12754))
% 163.42/163.18 [1276]~E(x12761,x12762)+E(f883(x12763,x12761,x12764),f883(x12763,x12762,x12764))
% 163.42/163.18 [1277]~E(x12771,x12772)+E(f883(x12773,x12774,x12771),f883(x12773,x12774,x12772))
% 163.42/163.18 [1278]~E(x12781,x12782)+E(f423(x12781,x12783,x12784,x12785),f423(x12782,x12783,x12784,x12785))
% 163.42/163.18 [1279]~E(x12791,x12792)+E(f423(x12793,x12791,x12794,x12795),f423(x12793,x12792,x12794,x12795))
% 163.42/163.18 [1280]~E(x12801,x12802)+E(f423(x12803,x12804,x12801,x12805),f423(x12803,x12804,x12802,x12805))
% 163.42/163.18 [1281]~E(x12811,x12812)+E(f423(x12813,x12814,x12815,x12811),f423(x12813,x12814,x12815,x12812))
% 163.42/163.18 [1282]~E(x12821,x12822)+E(f202(x12821),f202(x12822))
% 163.42/163.18 [1283]~E(x12831,x12832)+E(f818(x12831,x12833),f818(x12832,x12833))
% 163.42/163.18 [1284]~E(x12841,x12842)+E(f818(x12843,x12841),f818(x12843,x12842))
% 163.42/163.18 [1285]~E(x12851,x12852)+E(f572(x12851,x12853,x12854,x12855),f572(x12852,x12853,x12854,x12855))
% 163.42/163.18 [1286]~E(x12861,x12862)+E(f572(x12863,x12861,x12864,x12865),f572(x12863,x12862,x12864,x12865))
% 163.42/163.18 [1287]~E(x12871,x12872)+E(f572(x12873,x12874,x12871,x12875),f572(x12873,x12874,x12872,x12875))
% 163.42/163.18 [1288]~E(x12881,x12882)+E(f572(x12883,x12884,x12885,x12881),f572(x12883,x12884,x12885,x12882))
% 163.42/163.18 [1289]~E(x12891,x12892)+E(f473(x12891,x12893),f473(x12892,x12893))
% 163.42/163.18 [1290]~E(x12901,x12902)+E(f473(x12903,x12901),f473(x12903,x12902))
% 163.42/163.18 [1291]~E(x12911,x12912)+E(f564(x12911,x12913,x12914,x12915,x12916),f564(x12912,x12913,x12914,x12915,x12916))
% 163.42/163.18 [1292]~E(x12921,x12922)+E(f564(x12923,x12921,x12924,x12925,x12926),f564(x12923,x12922,x12924,x12925,x12926))
% 163.42/163.18 [1293]~E(x12931,x12932)+E(f564(x12933,x12934,x12931,x12935,x12936),f564(x12933,x12934,x12932,x12935,x12936))
% 163.42/163.18 [1294]~E(x12941,x12942)+E(f564(x12943,x12944,x12945,x12941,x12946),f564(x12943,x12944,x12945,x12942,x12946))
% 163.42/163.18 [1295]~E(x12951,x12952)+E(f564(x12953,x12954,x12955,x12956,x12951),f564(x12953,x12954,x12955,x12956,x12952))
% 163.42/163.18 [1296]~E(x12961,x12962)+E(f505(x12961,x12963,x12964,x12965),f505(x12962,x12963,x12964,x12965))
% 163.42/163.18 [1297]~E(x12971,x12972)+E(f505(x12973,x12971,x12974,x12975),f505(x12973,x12972,x12974,x12975))
% 163.42/163.18 [1298]~E(x12981,x12982)+E(f505(x12983,x12984,x12981,x12985),f505(x12983,x12984,x12982,x12985))
% 163.42/163.18 [1299]~E(x12991,x12992)+E(f505(x12993,x12994,x12995,x12991),f505(x12993,x12994,x12995,x12992))
% 163.42/163.18 [1300]~E(x13001,x13002)+E(f846(x13001,x13003,x13004,x13005,x13006,x13007,x13008,x13009),f846(x13002,x13003,x13004,x13005,x13006,x13007,x13008,x13009))
% 163.42/163.18 [1301]~E(x13011,x13012)+E(f846(x13013,x13011,x13014,x13015,x13016,x13017,x13018,x13019),f846(x13013,x13012,x13014,x13015,x13016,x13017,x13018,x13019))
% 163.42/163.18 [1302]~E(x13021,x13022)+E(f846(x13023,x13024,x13021,x13025,x13026,x13027,x13028,x13029),f846(x13023,x13024,x13022,x13025,x13026,x13027,x13028,x13029))
% 163.42/163.18 [1303]~E(x13031,x13032)+E(f846(x13033,x13034,x13035,x13031,x13036,x13037,x13038,x13039),f846(x13033,x13034,x13035,x13032,x13036,x13037,x13038,x13039))
% 163.42/163.18 [1304]~E(x13041,x13042)+E(f846(x13043,x13044,x13045,x13046,x13041,x13047,x13048,x13049),f846(x13043,x13044,x13045,x13046,x13042,x13047,x13048,x13049))
% 163.42/163.18 [1305]~E(x13051,x13052)+E(f846(x13053,x13054,x13055,x13056,x13057,x13051,x13058,x13059),f846(x13053,x13054,x13055,x13056,x13057,x13052,x13058,x13059))
% 163.42/163.18 [1306]~E(x13061,x13062)+E(f846(x13063,x13064,x13065,x13066,x13067,x13068,x13061,x13069),f846(x13063,x13064,x13065,x13066,x13067,x13068,x13062,x13069))
% 163.42/163.18 [1307]~E(x13071,x13072)+E(f846(x13073,x13074,x13075,x13076,x13077,x13078,x13079,x13071),f846(x13073,x13074,x13075,x13076,x13077,x13078,x13079,x13072))
% 163.42/163.18 [1308]~E(x13081,x13082)+E(f122(x13081,x13083,x13084,x13085),f122(x13082,x13083,x13084,x13085))
% 163.42/163.18 [1309]~E(x13091,x13092)+E(f122(x13093,x13091,x13094,x13095),f122(x13093,x13092,x13094,x13095))
% 163.42/163.18 [1310]~E(x13101,x13102)+E(f122(x13103,x13104,x13101,x13105),f122(x13103,x13104,x13102,x13105))
% 163.42/163.18 [1311]~E(x13111,x13112)+E(f122(x13113,x13114,x13115,x13111),f122(x13113,x13114,x13115,x13112))
% 163.42/163.18 [1312]~E(x13121,x13122)+E(f713(x13121,x13123,x13124),f713(x13122,x13123,x13124))
% 163.42/163.18 [1313]~E(x13131,x13132)+E(f713(x13133,x13131,x13134),f713(x13133,x13132,x13134))
% 163.42/163.18 [1314]~E(x13141,x13142)+E(f713(x13143,x13144,x13141),f713(x13143,x13144,x13142))
% 163.42/163.18 [1315]~E(x13151,x13152)+E(f880(x13151,x13153,x13154),f880(x13152,x13153,x13154))
% 163.42/163.18 [1316]~E(x13161,x13162)+E(f880(x13163,x13161,x13164),f880(x13163,x13162,x13164))
% 163.42/163.18 [1317]~E(x13171,x13172)+E(f880(x13173,x13174,x13171),f880(x13173,x13174,x13172))
% 163.42/163.18 [1318]~E(x13181,x13182)+E(f644(x13181,x13183,x13184,x13185),f644(x13182,x13183,x13184,x13185))
% 163.42/163.18 [1319]~E(x13191,x13192)+E(f644(x13193,x13191,x13194,x13195),f644(x13193,x13192,x13194,x13195))
% 163.42/163.18 [1320]~E(x13201,x13202)+E(f644(x13203,x13204,x13201,x13205),f644(x13203,x13204,x13202,x13205))
% 163.42/163.18 [1321]~E(x13211,x13212)+E(f644(x13213,x13214,x13215,x13211),f644(x13213,x13214,x13215,x13212))
% 163.42/163.18 [1322]~E(x13221,x13222)+E(f896(x13221,x13223,x13224,x13225),f896(x13222,x13223,x13224,x13225))
% 163.42/163.18 [1323]~E(x13231,x13232)+E(f896(x13233,x13231,x13234,x13235),f896(x13233,x13232,x13234,x13235))
% 163.42/163.18 [1324]~E(x13241,x13242)+E(f896(x13243,x13244,x13241,x13245),f896(x13243,x13244,x13242,x13245))
% 163.42/163.18 [1325]~E(x13251,x13252)+E(f896(x13253,x13254,x13255,x13251),f896(x13253,x13254,x13255,x13252))
% 163.42/163.18 [1326]~E(x13261,x13262)+E(f252(x13261,x13263,x13264,x13265,x13266),f252(x13262,x13263,x13264,x13265,x13266))
% 163.42/163.18 [1327]~E(x13271,x13272)+E(f252(x13273,x13271,x13274,x13275,x13276),f252(x13273,x13272,x13274,x13275,x13276))
% 163.42/163.18 [1328]~E(x13281,x13282)+E(f252(x13283,x13284,x13281,x13285,x13286),f252(x13283,x13284,x13282,x13285,x13286))
% 163.42/163.18 [1329]~E(x13291,x13292)+E(f252(x13293,x13294,x13295,x13291,x13296),f252(x13293,x13294,x13295,x13292,x13296))
% 163.42/163.18 [1330]~E(x13301,x13302)+E(f252(x13303,x13304,x13305,x13306,x13301),f252(x13303,x13304,x13305,x13306,x13302))
% 163.42/163.18 [1331]~E(x13311,x13312)+E(f802(x13311,x13313),f802(x13312,x13313))
% 163.42/163.18 [1332]~E(x13321,x13322)+E(f802(x13323,x13321),f802(x13323,x13322))
% 163.42/163.18 [1333]~E(x13331,x13332)+E(f447(x13331,x13333,x13334,x13335),f447(x13332,x13333,x13334,x13335))
% 163.42/163.18 [1334]~E(x13341,x13342)+E(f447(x13343,x13341,x13344,x13345),f447(x13343,x13342,x13344,x13345))
% 163.42/163.18 [1335]~E(x13351,x13352)+E(f447(x13353,x13354,x13351,x13355),f447(x13353,x13354,x13352,x13355))
% 163.42/163.18 [1336]~E(x13361,x13362)+E(f447(x13363,x13364,x13365,x13361),f447(x13363,x13364,x13365,x13362))
% 163.42/163.18 [1337]~E(x13371,x13372)+E(f639(x13371,x13373,x13374),f639(x13372,x13373,x13374))
% 163.42/163.18 [1338]~E(x13381,x13382)+E(f639(x13383,x13381,x13384),f639(x13383,x13382,x13384))
% 163.42/163.18 [1339]~E(x13391,x13392)+E(f639(x13393,x13394,x13391),f639(x13393,x13394,x13392))
% 163.42/163.18 [1340]~E(x13401,x13402)+E(f546(x13401,x13403,x13404,x13405,x13406,x13407,x13408,x13409),f546(x13402,x13403,x13404,x13405,x13406,x13407,x13408,x13409))
% 163.42/163.18 [1341]~E(x13411,x13412)+E(f546(x13413,x13411,x13414,x13415,x13416,x13417,x13418,x13419),f546(x13413,x13412,x13414,x13415,x13416,x13417,x13418,x13419))
% 163.42/163.18 [1342]~E(x13421,x13422)+E(f546(x13423,x13424,x13421,x13425,x13426,x13427,x13428,x13429),f546(x13423,x13424,x13422,x13425,x13426,x13427,x13428,x13429))
% 163.42/163.18 [1343]~E(x13431,x13432)+E(f546(x13433,x13434,x13435,x13431,x13436,x13437,x13438,x13439),f546(x13433,x13434,x13435,x13432,x13436,x13437,x13438,x13439))
% 163.42/163.18 [1344]~E(x13441,x13442)+E(f546(x13443,x13444,x13445,x13446,x13441,x13447,x13448,x13449),f546(x13443,x13444,x13445,x13446,x13442,x13447,x13448,x13449))
% 163.42/163.18 [1345]~E(x13451,x13452)+E(f546(x13453,x13454,x13455,x13456,x13457,x13451,x13458,x13459),f546(x13453,x13454,x13455,x13456,x13457,x13452,x13458,x13459))
% 163.42/163.18 [1346]~E(x13461,x13462)+E(f546(x13463,x13464,x13465,x13466,x13467,x13468,x13461,x13469),f546(x13463,x13464,x13465,x13466,x13467,x13468,x13462,x13469))
% 163.42/163.18 [1347]~E(x13471,x13472)+E(f546(x13473,x13474,x13475,x13476,x13477,x13478,x13479,x13471),f546(x13473,x13474,x13475,x13476,x13477,x13478,x13479,x13472))
% 163.42/163.18 [1348]~E(x13481,x13482)+E(f273(x13481,x13483,x13484),f273(x13482,x13483,x13484))
% 163.42/163.18 [1349]~E(x13491,x13492)+E(f273(x13493,x13491,x13494),f273(x13493,x13492,x13494))
% 163.42/163.18 [1350]~E(x13501,x13502)+E(f273(x13503,x13504,x13501),f273(x13503,x13504,x13502))
% 163.42/163.18 [1351]~E(x13511,x13512)+E(f836(x13511,x13513,x13514),f836(x13512,x13513,x13514))
% 163.42/163.18 [1352]~E(x13521,x13522)+E(f836(x13523,x13521,x13524),f836(x13523,x13522,x13524))
% 163.42/163.18 [1353]~E(x13531,x13532)+E(f836(x13533,x13534,x13531),f836(x13533,x13534,x13532))
% 163.42/163.18 [1354]~E(x13541,x13542)+E(f835(x13541,x13543,x13544,x13545,x13546),f835(x13542,x13543,x13544,x13545,x13546))
% 163.42/163.18 [1355]~E(x13551,x13552)+E(f835(x13553,x13551,x13554,x13555,x13556),f835(x13553,x13552,x13554,x13555,x13556))
% 163.42/163.18 [1356]~E(x13561,x13562)+E(f835(x13563,x13564,x13561,x13565,x13566),f835(x13563,x13564,x13562,x13565,x13566))
% 163.42/163.18 [1357]~E(x13571,x13572)+E(f835(x13573,x13574,x13575,x13571,x13576),f835(x13573,x13574,x13575,x13572,x13576))
% 163.42/163.18 [1358]~E(x13581,x13582)+E(f835(x13583,x13584,x13585,x13586,x13581),f835(x13583,x13584,x13585,x13586,x13582))
% 163.42/163.18 [1359]~E(x13591,x13592)+E(f174(x13591,x13593,x13594),f174(x13592,x13593,x13594))
% 163.42/163.18 [1360]~E(x13601,x13602)+E(f174(x13603,x13601,x13604),f174(x13603,x13602,x13604))
% 163.42/163.18 [1361]~E(x13611,x13612)+E(f174(x13613,x13614,x13611),f174(x13613,x13614,x13612))
% 163.42/163.18 [1362]~E(x13621,x13622)+E(f403(x13621,x13623,x13624),f403(x13622,x13623,x13624))
% 163.42/163.18 [1363]~E(x13631,x13632)+E(f403(x13633,x13631,x13634),f403(x13633,x13632,x13634))
% 163.42/163.18 [1364]~E(x13641,x13642)+E(f403(x13643,x13644,x13641),f403(x13643,x13644,x13642))
% 163.42/163.18 [1365]~E(x13651,x13652)+E(f765(x13651,x13653,x13654),f765(x13652,x13653,x13654))
% 163.42/163.18 [1366]~E(x13661,x13662)+E(f765(x13663,x13661,x13664),f765(x13663,x13662,x13664))
% 163.42/163.18 [1367]~E(x13671,x13672)+E(f765(x13673,x13674,x13671),f765(x13673,x13674,x13672))
% 163.42/163.18 [1368]~E(x13681,x13682)+E(f855(x13681,x13683,x13684,x13685,x13686,x13687,x13688),f855(x13682,x13683,x13684,x13685,x13686,x13687,x13688))
% 163.42/163.18 [1369]~E(x13691,x13692)+E(f855(x13693,x13691,x13694,x13695,x13696,x13697,x13698),f855(x13693,x13692,x13694,x13695,x13696,x13697,x13698))
% 163.42/163.18 [1370]~E(x13701,x13702)+E(f855(x13703,x13704,x13701,x13705,x13706,x13707,x13708),f855(x13703,x13704,x13702,x13705,x13706,x13707,x13708))
% 163.42/163.18 [1371]~E(x13711,x13712)+E(f855(x13713,x13714,x13715,x13711,x13716,x13717,x13718),f855(x13713,x13714,x13715,x13712,x13716,x13717,x13718))
% 163.42/163.18 [1372]~E(x13721,x13722)+E(f855(x13723,x13724,x13725,x13726,x13721,x13727,x13728),f855(x13723,x13724,x13725,x13726,x13722,x13727,x13728))
% 163.42/163.18 [1373]~E(x13731,x13732)+E(f855(x13733,x13734,x13735,x13736,x13737,x13731,x13738),f855(x13733,x13734,x13735,x13736,x13737,x13732,x13738))
% 163.42/163.18 [1374]~E(x13741,x13742)+E(f855(x13743,x13744,x13745,x13746,x13747,x13748,x13741),f855(x13743,x13744,x13745,x13746,x13747,x13748,x13742))
% 163.42/163.18 [1375]~E(x13751,x13752)+E(f845(x13751,x13753,x13754,x13755,x13756,x13757),f845(x13752,x13753,x13754,x13755,x13756,x13757))
% 163.42/163.18 [1376]~E(x13761,x13762)+E(f845(x13763,x13761,x13764,x13765,x13766,x13767),f845(x13763,x13762,x13764,x13765,x13766,x13767))
% 163.42/163.18 [1377]~E(x13771,x13772)+E(f845(x13773,x13774,x13771,x13775,x13776,x13777),f845(x13773,x13774,x13772,x13775,x13776,x13777))
% 163.42/163.18 [1378]~E(x13781,x13782)+E(f845(x13783,x13784,x13785,x13781,x13786,x13787),f845(x13783,x13784,x13785,x13782,x13786,x13787))
% 163.42/163.18 [1379]~E(x13791,x13792)+E(f845(x13793,x13794,x13795,x13796,x13791,x13797),f845(x13793,x13794,x13795,x13796,x13792,x13797))
% 163.42/163.18 [1380]~E(x13801,x13802)+E(f845(x13803,x13804,x13805,x13806,x13807,x13801),f845(x13803,x13804,x13805,x13806,x13807,x13802))
% 163.42/163.18 [1381]~E(x13811,x13812)+E(f659(x13811,x13813,x13814),f659(x13812,x13813,x13814))
% 163.42/163.18 [1382]~E(x13821,x13822)+E(f659(x13823,x13821,x13824),f659(x13823,x13822,x13824))
% 163.42/163.18 [1383]~E(x13831,x13832)+E(f659(x13833,x13834,x13831),f659(x13833,x13834,x13832))
% 163.42/163.18 [1384]~E(x13841,x13842)+E(f506(x13841,x13843,x13844,x13845),f506(x13842,x13843,x13844,x13845))
% 163.42/163.18 [1385]~E(x13851,x13852)+E(f506(x13853,x13851,x13854,x13855),f506(x13853,x13852,x13854,x13855))
% 163.42/163.18 [1386]~E(x13861,x13862)+E(f506(x13863,x13864,x13861,x13865),f506(x13863,x13864,x13862,x13865))
% 163.42/163.18 [1387]~E(x13871,x13872)+E(f506(x13873,x13874,x13875,x13871),f506(x13873,x13874,x13875,x13872))
% 163.42/163.18 [1388]~E(x13881,x13882)+E(f789(x13881,x13883,x13884,x13885,x13886,x13887,x13888),f789(x13882,x13883,x13884,x13885,x13886,x13887,x13888))
% 163.42/163.18 [1389]~E(x13891,x13892)+E(f789(x13893,x13891,x13894,x13895,x13896,x13897,x13898),f789(x13893,x13892,x13894,x13895,x13896,x13897,x13898))
% 163.42/163.18 [1390]~E(x13901,x13902)+E(f789(x13903,x13904,x13901,x13905,x13906,x13907,x13908),f789(x13903,x13904,x13902,x13905,x13906,x13907,x13908))
% 163.42/163.18 [1391]~E(x13911,x13912)+E(f789(x13913,x13914,x13915,x13911,x13916,x13917,x13918),f789(x13913,x13914,x13915,x13912,x13916,x13917,x13918))
% 163.42/163.18 [1392]~E(x13921,x13922)+E(f789(x13923,x13924,x13925,x13926,x13921,x13927,x13928),f789(x13923,x13924,x13925,x13926,x13922,x13927,x13928))
% 163.42/163.18 [1393]~E(x13931,x13932)+E(f789(x13933,x13934,x13935,x13936,x13937,x13931,x13938),f789(x13933,x13934,x13935,x13936,x13937,x13932,x13938))
% 163.42/163.18 [1394]~E(x13941,x13942)+E(f789(x13943,x13944,x13945,x13946,x13947,x13948,x13941),f789(x13943,x13944,x13945,x13946,x13947,x13948,x13942))
% 163.42/163.18 [1395]~E(x13951,x13952)+E(f601(x13951,x13953,x13954),f601(x13952,x13953,x13954))
% 163.42/163.18 [1396]~E(x13961,x13962)+E(f601(x13963,x13961,x13964),f601(x13963,x13962,x13964))
% 163.42/163.18 [1397]~E(x13971,x13972)+E(f601(x13973,x13974,x13971),f601(x13973,x13974,x13972))
% 163.42/163.18 [1398]~E(x13981,x13982)+E(f660(x13981,x13983,x13984),f660(x13982,x13983,x13984))
% 163.42/163.18 [1399]~E(x13991,x13992)+E(f660(x13993,x13991,x13994),f660(x13993,x13992,x13994))
% 163.42/163.18 [1400]~E(x14001,x14002)+E(f660(x14003,x14004,x14001),f660(x14003,x14004,x14002))
% 163.42/163.18 [1401]~E(x14011,x14012)+E(f647(x14011,x14013,x14014,x14015,x14016,x14017),f647(x14012,x14013,x14014,x14015,x14016,x14017))
% 163.42/163.18 [1402]~E(x14021,x14022)+E(f647(x14023,x14021,x14024,x14025,x14026,x14027),f647(x14023,x14022,x14024,x14025,x14026,x14027))
% 163.42/163.18 [1403]~E(x14031,x14032)+E(f647(x14033,x14034,x14031,x14035,x14036,x14037),f647(x14033,x14034,x14032,x14035,x14036,x14037))
% 163.42/163.18 [1404]~E(x14041,x14042)+E(f647(x14043,x14044,x14045,x14041,x14046,x14047),f647(x14043,x14044,x14045,x14042,x14046,x14047))
% 163.42/163.18 [1405]~E(x14051,x14052)+E(f647(x14053,x14054,x14055,x14056,x14051,x14057),f647(x14053,x14054,x14055,x14056,x14052,x14057))
% 163.42/163.18 [1406]~E(x14061,x14062)+E(f647(x14063,x14064,x14065,x14066,x14067,x14061),f647(x14063,x14064,x14065,x14066,x14067,x14062))
% 163.42/163.18 [1407]~E(x14071,x14072)+E(f23(x14071,x14073),f23(x14072,x14073))
% 163.42/163.18 [1408]~E(x14081,x14082)+E(f23(x14083,x14081),f23(x14083,x14082))
% 163.42/163.18 [1409]~E(x14091,x14092)+E(f356(x14091,x14093,x14094),f356(x14092,x14093,x14094))
% 163.42/163.18 [1410]~E(x14101,x14102)+E(f356(x14103,x14101,x14104),f356(x14103,x14102,x14104))
% 163.42/163.18 [1411]~E(x14111,x14112)+E(f356(x14113,x14114,x14111),f356(x14113,x14114,x14112))
% 163.42/163.18 [1412]~E(x14121,x14122)+E(f702(x14121,x14123,x14124,x14125,x14126),f702(x14122,x14123,x14124,x14125,x14126))
% 163.42/163.18 [1413]~E(x14131,x14132)+E(f702(x14133,x14131,x14134,x14135,x14136),f702(x14133,x14132,x14134,x14135,x14136))
% 163.42/163.18 [1414]~E(x14141,x14142)+E(f702(x14143,x14144,x14141,x14145,x14146),f702(x14143,x14144,x14142,x14145,x14146))
% 163.42/163.18 [1415]~E(x14151,x14152)+E(f702(x14153,x14154,x14155,x14151,x14156),f702(x14153,x14154,x14155,x14152,x14156))
% 163.42/163.18 [1416]~E(x14161,x14162)+E(f702(x14163,x14164,x14165,x14166,x14161),f702(x14163,x14164,x14165,x14166,x14162))
% 163.42/163.18 [1417]~E(x14171,x14172)+E(f437(x14171,x14173),f437(x14172,x14173))
% 163.42/163.18 [1418]~E(x14181,x14182)+E(f437(x14183,x14181),f437(x14183,x14182))
% 163.42/163.18 [1419]~E(x14191,x14192)+E(f40(x14191),f40(x14192))
% 163.42/163.18 [1420]~E(x14201,x14202)+E(f630(x14201,x14203,x14204,x14205,x14206),f630(x14202,x14203,x14204,x14205,x14206))
% 163.42/163.18 [1421]~E(x14211,x14212)+E(f630(x14213,x14211,x14214,x14215,x14216),f630(x14213,x14212,x14214,x14215,x14216))
% 163.42/163.18 [1422]~E(x14221,x14222)+E(f630(x14223,x14224,x14221,x14225,x14226),f630(x14223,x14224,x14222,x14225,x14226))
% 163.42/163.18 [1423]~E(x14231,x14232)+E(f630(x14233,x14234,x14235,x14231,x14236),f630(x14233,x14234,x14235,x14232,x14236))
% 163.42/163.18 [1424]~E(x14241,x14242)+E(f630(x14243,x14244,x14245,x14246,x14241),f630(x14243,x14244,x14245,x14246,x14242))
% 163.42/163.18 [1425]~E(x14251,x14252)+E(f30(x14251,x14253),f30(x14252,x14253))
% 163.42/163.18 [1426]~E(x14261,x14262)+E(f30(x14263,x14261),f30(x14263,x14262))
% 163.42/163.18 [1427]~E(x14271,x14272)+E(f166(x14271,x14273,x14274),f166(x14272,x14273,x14274))
% 163.42/163.18 [1428]~E(x14281,x14282)+E(f166(x14283,x14281,x14284),f166(x14283,x14282,x14284))
% 163.42/163.18 [1429]~E(x14291,x14292)+E(f166(x14293,x14294,x14291),f166(x14293,x14294,x14292))
% 163.42/163.18 [1430]~E(x14301,x14302)+E(f452(x14301,x14303,x14304,x14305,x14306),f452(x14302,x14303,x14304,x14305,x14306))
% 163.42/163.18 [1431]~E(x14311,x14312)+E(f452(x14313,x14311,x14314,x14315,x14316),f452(x14313,x14312,x14314,x14315,x14316))
% 163.42/163.18 [1432]~E(x14321,x14322)+E(f452(x14323,x14324,x14321,x14325,x14326),f452(x14323,x14324,x14322,x14325,x14326))
% 163.42/163.18 [1433]~E(x14331,x14332)+E(f452(x14333,x14334,x14335,x14331,x14336),f452(x14333,x14334,x14335,x14332,x14336))
% 163.42/163.18 [1434]~E(x14341,x14342)+E(f452(x14343,x14344,x14345,x14346,x14341),f452(x14343,x14344,x14345,x14346,x14342))
% 163.42/163.18 [1435]~E(x14351,x14352)+E(f843(x14351,x14353),f843(x14352,x14353))
% 163.42/163.18 [1436]~E(x14361,x14362)+E(f843(x14363,x14361),f843(x14363,x14362))
% 163.42/163.18 [1437]~E(x14371,x14372)+E(f508(x14371,x14373,x14374,x14375,x14376,x14377,x14378,x14379,x143710),f508(x14372,x14373,x14374,x14375,x14376,x14377,x14378,x14379,x143710))
% 163.42/163.18 [1438]~E(x14381,x14382)+E(f508(x14383,x14381,x14384,x14385,x14386,x14387,x14388,x14389,x143810),f508(x14383,x14382,x14384,x14385,x14386,x14387,x14388,x14389,x143810))
% 163.42/163.18 [1439]~E(x14391,x14392)+E(f508(x14393,x14394,x14391,x14395,x14396,x14397,x14398,x14399,x143910),f508(x14393,x14394,x14392,x14395,x14396,x14397,x14398,x14399,x143910))
% 163.42/163.18 [1440]~E(x14401,x14402)+E(f508(x14403,x14404,x14405,x14401,x14406,x14407,x14408,x14409,x144010),f508(x14403,x14404,x14405,x14402,x14406,x14407,x14408,x14409,x144010))
% 163.42/163.18 [1441]~E(x14411,x14412)+E(f508(x14413,x14414,x14415,x14416,x14411,x14417,x14418,x14419,x144110),f508(x14413,x14414,x14415,x14416,x14412,x14417,x14418,x14419,x144110))
% 163.42/163.18 [1442]~E(x14421,x14422)+E(f508(x14423,x14424,x14425,x14426,x14427,x14421,x14428,x14429,x144210),f508(x14423,x14424,x14425,x14426,x14427,x14422,x14428,x14429,x144210))
% 163.42/163.18 [1443]~E(x14431,x14432)+E(f508(x14433,x14434,x14435,x14436,x14437,x14438,x14431,x14439,x144310),f508(x14433,x14434,x14435,x14436,x14437,x14438,x14432,x14439,x144310))
% 163.42/163.18 [1444]~E(x14441,x14442)+E(f508(x14443,x14444,x14445,x14446,x14447,x14448,x14449,x14441,x144410),f508(x14443,x14444,x14445,x14446,x14447,x14448,x14449,x14442,x144410))
% 163.42/163.18 [1445]~E(x14451,x14452)+E(f508(x14453,x14454,x14455,x14456,x14457,x14458,x14459,x144510,x14451),f508(x14453,x14454,x14455,x14456,x14457,x14458,x14459,x144510,x14452))
% 163.42/163.18 [1446]~E(x14461,x14462)+E(f292(x14461,x14463),f292(x14462,x14463))
% 163.42/163.18 [1447]~E(x14471,x14472)+E(f292(x14473,x14471),f292(x14473,x14472))
% 163.42/163.18 [1448]~E(x14481,x14482)+E(f708(x14481,x14483),f708(x14482,x14483))
% 163.42/163.18 [1449]~E(x14491,x14492)+E(f708(x14493,x14491),f708(x14493,x14492))
% 163.42/163.18 [1450]~E(x14501,x14502)+E(f513(x14501,x14503,x14504),f513(x14502,x14503,x14504))
% 163.42/163.18 [1451]~E(x14511,x14512)+E(f513(x14513,x14511,x14514),f513(x14513,x14512,x14514))
% 163.42/163.18 [1452]~E(x14521,x14522)+E(f513(x14523,x14524,x14521),f513(x14523,x14524,x14522))
% 163.42/163.18 [1453]~E(x14531,x14532)+E(f439(x14531,x14533),f439(x14532,x14533))
% 163.42/163.18 [1454]~E(x14541,x14542)+E(f439(x14543,x14541),f439(x14543,x14542))
% 163.42/163.18 [1455]~E(x14551,x14552)+E(f509(x14551,x14553,x14554),f509(x14552,x14553,x14554))
% 163.42/163.18 [1456]~E(x14561,x14562)+E(f509(x14563,x14561,x14564),f509(x14563,x14562,x14564))
% 163.42/163.18 [1457]~E(x14571,x14572)+E(f509(x14573,x14574,x14571),f509(x14573,x14574,x14572))
% 163.42/163.18 [1458]~E(x14581,x14582)+E(f271(x14581,x14583),f271(x14582,x14583))
% 163.42/163.18 [1459]~E(x14591,x14592)+E(f271(x14593,x14591),f271(x14593,x14592))
% 163.42/163.18 [1460]~E(x14601,x14602)+E(f500(x14601,x14603,x14604,x14605,x14606),f500(x14602,x14603,x14604,x14605,x14606))
% 163.42/163.18 [1461]~E(x14611,x14612)+E(f500(x14613,x14611,x14614,x14615,x14616),f500(x14613,x14612,x14614,x14615,x14616))
% 163.42/163.18 [1462]~E(x14621,x14622)+E(f500(x14623,x14624,x14621,x14625,x14626),f500(x14623,x14624,x14622,x14625,x14626))
% 163.42/163.18 [1463]~E(x14631,x14632)+E(f500(x14633,x14634,x14635,x14631,x14636),f500(x14633,x14634,x14635,x14632,x14636))
% 163.42/163.18 [1464]~E(x14641,x14642)+E(f500(x14643,x14644,x14645,x14646,x14641),f500(x14643,x14644,x14645,x14646,x14642))
% 163.42/163.18 [1465]~E(x14651,x14652)+E(f180(x14651),f180(x14652))
% 163.42/163.18 [1466]~E(x14661,x14662)+E(f902(x14661,x14663,x14664,x14665,x14666),f902(x14662,x14663,x14664,x14665,x14666))
% 163.42/163.18 [1467]~E(x14671,x14672)+E(f902(x14673,x14671,x14674,x14675,x14676),f902(x14673,x14672,x14674,x14675,x14676))
% 163.42/163.18 [1468]~E(x14681,x14682)+E(f902(x14683,x14684,x14681,x14685,x14686),f902(x14683,x14684,x14682,x14685,x14686))
% 163.42/163.18 [1469]~E(x14691,x14692)+E(f902(x14693,x14694,x14695,x14691,x14696),f902(x14693,x14694,x14695,x14692,x14696))
% 163.42/163.18 [1470]~E(x14701,x14702)+E(f902(x14703,x14704,x14705,x14706,x14701),f902(x14703,x14704,x14705,x14706,x14702))
% 163.42/163.18 [1471]~E(x14711,x14712)+E(f364(x14711,x14713,x14714),f364(x14712,x14713,x14714))
% 163.42/163.18 [1472]~E(x14721,x14722)+E(f364(x14723,x14721,x14724),f364(x14723,x14722,x14724))
% 163.42/163.18 [1473]~E(x14731,x14732)+E(f364(x14733,x14734,x14731),f364(x14733,x14734,x14732))
% 163.42/163.18 [1474]~E(x14741,x14742)+E(f371(x14741,x14743,x14744),f371(x14742,x14743,x14744))
% 163.42/163.18 [1475]~E(x14751,x14752)+E(f371(x14753,x14751,x14754),f371(x14753,x14752,x14754))
% 163.42/163.18 [1476]~E(x14761,x14762)+E(f371(x14763,x14764,x14761),f371(x14763,x14764,x14762))
% 163.42/163.18 [1477]~E(x14771,x14772)+E(f749(x14771,x14773,x14774,x14775,x14776,x14777,x14778),f749(x14772,x14773,x14774,x14775,x14776,x14777,x14778))
% 163.42/163.18 [1478]~E(x14781,x14782)+E(f749(x14783,x14781,x14784,x14785,x14786,x14787,x14788),f749(x14783,x14782,x14784,x14785,x14786,x14787,x14788))
% 163.42/163.18 [1479]~E(x14791,x14792)+E(f749(x14793,x14794,x14791,x14795,x14796,x14797,x14798),f749(x14793,x14794,x14792,x14795,x14796,x14797,x14798))
% 163.42/163.18 [1480]~E(x14801,x14802)+E(f749(x14803,x14804,x14805,x14801,x14806,x14807,x14808),f749(x14803,x14804,x14805,x14802,x14806,x14807,x14808))
% 163.42/163.18 [1481]~E(x14811,x14812)+E(f749(x14813,x14814,x14815,x14816,x14811,x14817,x14818),f749(x14813,x14814,x14815,x14816,x14812,x14817,x14818))
% 163.42/163.18 [1482]~E(x14821,x14822)+E(f749(x14823,x14824,x14825,x14826,x14827,x14821,x14828),f749(x14823,x14824,x14825,x14826,x14827,x14822,x14828))
% 163.42/163.18 [1483]~E(x14831,x14832)+E(f749(x14833,x14834,x14835,x14836,x14837,x14838,x14831),f749(x14833,x14834,x14835,x14836,x14837,x14838,x14832))
% 163.42/163.18 [1484]~E(x14841,x14842)+E(f176(x14841,x14843,x14844),f176(x14842,x14843,x14844))
% 163.42/163.18 [1485]~E(x14851,x14852)+E(f176(x14853,x14851,x14854),f176(x14853,x14852,x14854))
% 163.42/163.18 [1486]~E(x14861,x14862)+E(f176(x14863,x14864,x14861),f176(x14863,x14864,x14862))
% 163.42/163.18 [1487]~E(x14871,x14872)+E(f401(x14871,x14873,x14874,x14875,x14876),f401(x14872,x14873,x14874,x14875,x14876))
% 163.42/163.18 [1488]~E(x14881,x14882)+E(f401(x14883,x14881,x14884,x14885,x14886),f401(x14883,x14882,x14884,x14885,x14886))
% 163.42/163.18 [1489]~E(x14891,x14892)+E(f401(x14893,x14894,x14891,x14895,x14896),f401(x14893,x14894,x14892,x14895,x14896))
% 163.42/163.18 [1490]~E(x14901,x14902)+E(f401(x14903,x14904,x14905,x14901,x14906),f401(x14903,x14904,x14905,x14902,x14906))
% 163.42/163.18 [1491]~E(x14911,x14912)+E(f401(x14913,x14914,x14915,x14916,x14911),f401(x14913,x14914,x14915,x14916,x14912))
% 163.42/163.18 [1492]~E(x14921,x14922)+E(f680(x14921,x14923,x14924,x14925,x14926),f680(x14922,x14923,x14924,x14925,x14926))
% 163.42/163.18 [1493]~E(x14931,x14932)+E(f680(x14933,x14931,x14934,x14935,x14936),f680(x14933,x14932,x14934,x14935,x14936))
% 163.42/163.18 [1494]~E(x14941,x14942)+E(f680(x14943,x14944,x14941,x14945,x14946),f680(x14943,x14944,x14942,x14945,x14946))
% 163.42/163.18 [1495]~E(x14951,x14952)+E(f680(x14953,x14954,x14955,x14951,x14956),f680(x14953,x14954,x14955,x14952,x14956))
% 163.42/163.18 [1496]~E(x14961,x14962)+E(f680(x14963,x14964,x14965,x14966,x14961),f680(x14963,x14964,x14965,x14966,x14962))
% 163.42/163.18 [1497]~E(x14971,x14972)+E(f729(x14971,x14973,x14974),f729(x14972,x14973,x14974))
% 163.42/163.18 [1498]~E(x14981,x14982)+E(f729(x14983,x14981,x14984),f729(x14983,x14982,x14984))
% 163.42/163.18 [1499]~E(x14991,x14992)+E(f729(x14993,x14994,x14991),f729(x14993,x14994,x14992))
% 163.42/163.18 [1500]~E(x15001,x15002)+E(f609(x15001,x15003,x15004,x15005,x15006,x15007,x15008,x15009),f609(x15002,x15003,x15004,x15005,x15006,x15007,x15008,x15009))
% 163.42/163.18 [1501]~E(x15011,x15012)+E(f609(x15013,x15011,x15014,x15015,x15016,x15017,x15018,x15019),f609(x15013,x15012,x15014,x15015,x15016,x15017,x15018,x15019))
% 163.42/163.18 [1502]~E(x15021,x15022)+E(f609(x15023,x15024,x15021,x15025,x15026,x15027,x15028,x15029),f609(x15023,x15024,x15022,x15025,x15026,x15027,x15028,x15029))
% 163.42/163.18 [1503]~E(x15031,x15032)+E(f609(x15033,x15034,x15035,x15031,x15036,x15037,x15038,x15039),f609(x15033,x15034,x15035,x15032,x15036,x15037,x15038,x15039))
% 163.42/163.18 [1504]~E(x15041,x15042)+E(f609(x15043,x15044,x15045,x15046,x15041,x15047,x15048,x15049),f609(x15043,x15044,x15045,x15046,x15042,x15047,x15048,x15049))
% 163.42/163.18 [1505]~E(x15051,x15052)+E(f609(x15053,x15054,x15055,x15056,x15057,x15051,x15058,x15059),f609(x15053,x15054,x15055,x15056,x15057,x15052,x15058,x15059))
% 163.42/163.18 [1506]~E(x15061,x15062)+E(f609(x15063,x15064,x15065,x15066,x15067,x15068,x15061,x15069),f609(x15063,x15064,x15065,x15066,x15067,x15068,x15062,x15069))
% 163.42/163.18 [1507]~E(x15071,x15072)+E(f609(x15073,x15074,x15075,x15076,x15077,x15078,x15079,x15071),f609(x15073,x15074,x15075,x15076,x15077,x15078,x15079,x15072))
% 163.42/163.18 [1508]~E(x15081,x15082)+E(f739(x15081,x15083,x15084),f739(x15082,x15083,x15084))
% 163.42/163.18 [1509]~E(x15091,x15092)+E(f739(x15093,x15091,x15094),f739(x15093,x15092,x15094))
% 163.42/163.18 [1510]~E(x15101,x15102)+E(f739(x15103,x15104,x15101),f739(x15103,x15104,x15102))
% 163.42/163.18 [1511]~E(x15111,x15112)+E(f58(x15111,x15113,x15114,x15115),f58(x15112,x15113,x15114,x15115))
% 163.42/163.18 [1512]~E(x15121,x15122)+E(f58(x15123,x15121,x15124,x15125),f58(x15123,x15122,x15124,x15125))
% 163.42/163.18 [1513]~E(x15131,x15132)+E(f58(x15133,x15134,x15131,x15135),f58(x15133,x15134,x15132,x15135))
% 163.42/163.18 [1514]~E(x15141,x15142)+E(f58(x15143,x15144,x15145,x15141),f58(x15143,x15144,x15145,x15142))
% 163.42/163.18 [1515]~E(x15151,x15152)+E(f878(x15151,x15153,x15154,x15155,x15156),f878(x15152,x15153,x15154,x15155,x15156))
% 163.42/163.18 [1516]~E(x15161,x15162)+E(f878(x15163,x15161,x15164,x15165,x15166),f878(x15163,x15162,x15164,x15165,x15166))
% 163.42/163.18 [1517]~E(x15171,x15172)+E(f878(x15173,x15174,x15171,x15175,x15176),f878(x15173,x15174,x15172,x15175,x15176))
% 163.42/163.18 [1518]~E(x15181,x15182)+E(f878(x15183,x15184,x15185,x15181,x15186),f878(x15183,x15184,x15185,x15182,x15186))
% 163.42/163.18 [1519]~E(x15191,x15192)+E(f878(x15193,x15194,x15195,x15196,x15191),f878(x15193,x15194,x15195,x15196,x15192))
% 163.42/163.18 [1520]~E(x15201,x15202)+E(f693(x15201,x15203,x15204),f693(x15202,x15203,x15204))
% 163.42/163.18 [1521]~E(x15211,x15212)+E(f693(x15213,x15211,x15214),f693(x15213,x15212,x15214))
% 163.42/163.18 [1522]~E(x15221,x15222)+E(f693(x15223,x15224,x15221),f693(x15223,x15224,x15222))
% 163.42/163.18 [1523]~E(x15231,x15232)+E(f704(x15231,x15233,x15234),f704(x15232,x15233,x15234))
% 163.42/163.18 [1524]~E(x15241,x15242)+E(f704(x15243,x15241,x15244),f704(x15243,x15242,x15244))
% 163.42/163.18 [1525]~E(x15251,x15252)+E(f704(x15253,x15254,x15251),f704(x15253,x15254,x15252))
% 163.42/163.18 [1526]~E(x15261,x15262)+E(f118(x15261,x15263,x15264),f118(x15262,x15263,x15264))
% 163.42/163.18 [1527]~E(x15271,x15272)+E(f118(x15273,x15271,x15274),f118(x15273,x15272,x15274))
% 163.42/163.18 [1528]~E(x15281,x15282)+E(f118(x15283,x15284,x15281),f118(x15283,x15284,x15282))
% 163.42/163.18 [1529]~E(x15291,x15292)+E(f498(x15291,x15293,x15294,x15295),f498(x15292,x15293,x15294,x15295))
% 163.42/163.18 [1530]~E(x15301,x15302)+E(f498(x15303,x15301,x15304,x15305),f498(x15303,x15302,x15304,x15305))
% 163.42/163.18 [1531]~E(x15311,x15312)+E(f498(x15313,x15314,x15311,x15315),f498(x15313,x15314,x15312,x15315))
% 163.42/163.18 [1532]~E(x15321,x15322)+E(f498(x15323,x15324,x15325,x15321),f498(x15323,x15324,x15325,x15322))
% 163.42/163.18 [1533]~E(x15331,x15332)+E(f577(x15331,x15333,x15334,x15335,x15336),f577(x15332,x15333,x15334,x15335,x15336))
% 163.42/163.18 [1534]~E(x15341,x15342)+E(f577(x15343,x15341,x15344,x15345,x15346),f577(x15343,x15342,x15344,x15345,x15346))
% 163.42/163.18 [1535]~E(x15351,x15352)+E(f577(x15353,x15354,x15351,x15355,x15356),f577(x15353,x15354,x15352,x15355,x15356))
% 163.42/163.18 [1536]~E(x15361,x15362)+E(f577(x15363,x15364,x15365,x15361,x15366),f577(x15363,x15364,x15365,x15362,x15366))
% 163.42/163.18 [1537]~E(x15371,x15372)+E(f577(x15373,x15374,x15375,x15376,x15371),f577(x15373,x15374,x15375,x15376,x15372))
% 163.42/163.18 [1538]~E(x15381,x15382)+E(f501(x15381,x15383,x15384),f501(x15382,x15383,x15384))
% 163.42/163.18 [1539]~E(x15391,x15392)+E(f501(x15393,x15391,x15394),f501(x15393,x15392,x15394))
% 163.42/163.18 [1540]~E(x15401,x15402)+E(f501(x15403,x15404,x15401),f501(x15403,x15404,x15402))
% 163.42/163.18 [1541]~E(x15411,x15412)+E(f874(x15411,x15413,x15414,x15415,x15416),f874(x15412,x15413,x15414,x15415,x15416))
% 163.42/163.18 [1542]~E(x15421,x15422)+E(f874(x15423,x15421,x15424,x15425,x15426),f874(x15423,x15422,x15424,x15425,x15426))
% 163.42/163.18 [1543]~E(x15431,x15432)+E(f874(x15433,x15434,x15431,x15435,x15436),f874(x15433,x15434,x15432,x15435,x15436))
% 163.42/163.18 [1544]~E(x15441,x15442)+E(f874(x15443,x15444,x15445,x15441,x15446),f874(x15443,x15444,x15445,x15442,x15446))
% 163.42/163.18 [1545]~E(x15451,x15452)+E(f874(x15453,x15454,x15455,x15456,x15451),f874(x15453,x15454,x15455,x15456,x15452))
% 163.42/163.18 [1546]~E(x15461,x15462)+E(f391(x15461,x15463,x15464),f391(x15462,x15463,x15464))
% 163.42/163.18 [1547]~E(x15471,x15472)+E(f391(x15473,x15471,x15474),f391(x15473,x15472,x15474))
% 163.42/163.18 [1548]~E(x15481,x15482)+E(f391(x15483,x15484,x15481),f391(x15483,x15484,x15482))
% 163.42/163.18 [1549]~E(x15491,x15492)+E(f341(x15491,x15493,x15494),f341(x15492,x15493,x15494))
% 163.42/163.18 [1550]~E(x15501,x15502)+E(f341(x15503,x15501,x15504),f341(x15503,x15502,x15504))
% 163.42/163.18 [1551]~E(x15511,x15512)+E(f341(x15513,x15514,x15511),f341(x15513,x15514,x15512))
% 163.42/163.18 [1552]~E(x15521,x15522)+E(f396(x15521,x15523,x15524),f396(x15522,x15523,x15524))
% 163.42/163.18 [1553]~E(x15531,x15532)+E(f396(x15533,x15531,x15534),f396(x15533,x15532,x15534))
% 163.42/163.18 [1554]~E(x15541,x15542)+E(f396(x15543,x15544,x15541),f396(x15543,x15544,x15542))
% 163.42/163.18 [1555]~E(x15551,x15552)+E(f349(x15551),f349(x15552))
% 163.42/163.18 [1556]~E(x15561,x15562)+E(f477(x15561,x15563,x15564,x15565),f477(x15562,x15563,x15564,x15565))
% 163.42/163.18 [1557]~E(x15571,x15572)+E(f477(x15573,x15571,x15574,x15575),f477(x15573,x15572,x15574,x15575))
% 163.42/163.18 [1558]~E(x15581,x15582)+E(f477(x15583,x15584,x15581,x15585),f477(x15583,x15584,x15582,x15585))
% 163.42/163.18 [1559]~E(x15591,x15592)+E(f477(x15593,x15594,x15595,x15591),f477(x15593,x15594,x15595,x15592))
% 163.42/163.18 [1560]~E(x15601,x15602)+E(f844(x15601,x15603,x15604,x15605,x15606,x15607),f844(x15602,x15603,x15604,x15605,x15606,x15607))
% 163.42/163.18 [1561]~E(x15611,x15612)+E(f844(x15613,x15611,x15614,x15615,x15616,x15617),f844(x15613,x15612,x15614,x15615,x15616,x15617))
% 163.42/163.18 [1562]~E(x15621,x15622)+E(f844(x15623,x15624,x15621,x15625,x15626,x15627),f844(x15623,x15624,x15622,x15625,x15626,x15627))
% 163.42/163.18 [1563]~E(x15631,x15632)+E(f844(x15633,x15634,x15635,x15631,x15636,x15637),f844(x15633,x15634,x15635,x15632,x15636,x15637))
% 163.42/163.18 [1564]~E(x15641,x15642)+E(f844(x15643,x15644,x15645,x15646,x15641,x15647),f844(x15643,x15644,x15645,x15646,x15642,x15647))
% 163.42/163.18 [1565]~E(x15651,x15652)+E(f844(x15653,x15654,x15655,x15656,x15657,x15651),f844(x15653,x15654,x15655,x15656,x15657,x15652))
% 163.42/163.18 [1566]~E(x15661,x15662)+E(f386(x15661,x15663),f386(x15662,x15663))
% 163.42/163.18 [1567]~E(x15671,x15672)+E(f386(x15673,x15671),f386(x15673,x15672))
% 163.42/163.18 [1568]~E(x15681,x15682)+E(f692(x15681,x15683,x15684),f692(x15682,x15683,x15684))
% 163.42/163.18 [1569]~E(x15691,x15692)+E(f692(x15693,x15691,x15694),f692(x15693,x15692,x15694))
% 163.42/163.18 [1570]~E(x15701,x15702)+E(f692(x15703,x15704,x15701),f692(x15703,x15704,x15702))
% 163.42/163.18 [1571]~E(x15711,x15712)+E(f127(x15711,x15713,x15714,x15715,x15716),f127(x15712,x15713,x15714,x15715,x15716))
% 163.42/163.18 [1572]~E(x15721,x15722)+E(f127(x15723,x15721,x15724,x15725,x15726),f127(x15723,x15722,x15724,x15725,x15726))
% 163.42/163.18 [1573]~E(x15731,x15732)+E(f127(x15733,x15734,x15731,x15735,x15736),f127(x15733,x15734,x15732,x15735,x15736))
% 163.42/163.18 [1574]~E(x15741,x15742)+E(f127(x15743,x15744,x15745,x15741,x15746),f127(x15743,x15744,x15745,x15742,x15746))
% 163.42/163.18 [1575]~E(x15751,x15752)+E(f127(x15753,x15754,x15755,x15756,x15751),f127(x15753,x15754,x15755,x15756,x15752))
% 163.42/163.18 [1576]~E(x15761,x15762)+E(f790(x15761,x15763,x15764,x15765,x15766,x15767,x15768),f790(x15762,x15763,x15764,x15765,x15766,x15767,x15768))
% 163.42/163.18 [1577]~E(x15771,x15772)+E(f790(x15773,x15771,x15774,x15775,x15776,x15777,x15778),f790(x15773,x15772,x15774,x15775,x15776,x15777,x15778))
% 163.42/163.18 [1578]~E(x15781,x15782)+E(f790(x15783,x15784,x15781,x15785,x15786,x15787,x15788),f790(x15783,x15784,x15782,x15785,x15786,x15787,x15788))
% 163.42/163.18 [1579]~E(x15791,x15792)+E(f790(x15793,x15794,x15795,x15791,x15796,x15797,x15798),f790(x15793,x15794,x15795,x15792,x15796,x15797,x15798))
% 163.42/163.18 [1580]~E(x15801,x15802)+E(f790(x15803,x15804,x15805,x15806,x15801,x15807,x15808),f790(x15803,x15804,x15805,x15806,x15802,x15807,x15808))
% 163.42/163.18 [1581]~E(x15811,x15812)+E(f790(x15813,x15814,x15815,x15816,x15817,x15811,x15818),f790(x15813,x15814,x15815,x15816,x15817,x15812,x15818))
% 163.42/163.18 [1582]~E(x15821,x15822)+E(f790(x15823,x15824,x15825,x15826,x15827,x15828,x15821),f790(x15823,x15824,x15825,x15826,x15827,x15828,x15822))
% 163.42/163.18 [1583]~E(x15831,x15832)+E(f665(x15831,x15833,x15834),f665(x15832,x15833,x15834))
% 163.42/163.18 [1584]~E(x15841,x15842)+E(f665(x15843,x15841,x15844),f665(x15843,x15842,x15844))
% 163.42/163.18 [1585]~E(x15851,x15852)+E(f665(x15853,x15854,x15851),f665(x15853,x15854,x15852))
% 163.42/163.18 [1586]~E(x15861,x15862)+E(f365(x15861,x15863,x15864),f365(x15862,x15863,x15864))
% 163.42/163.18 [1587]~E(x15871,x15872)+E(f365(x15873,x15871,x15874),f365(x15873,x15872,x15874))
% 163.42/163.18 [1588]~E(x15881,x15882)+E(f365(x15883,x15884,x15881),f365(x15883,x15884,x15882))
% 163.42/163.18 [1589]~E(x15891,x15892)+E(f833(x15891,x15893,x15894,x15895),f833(x15892,x15893,x15894,x15895))
% 163.42/163.18 [1590]~E(x15901,x15902)+E(f833(x15903,x15901,x15904,x15905),f833(x15903,x15902,x15904,x15905))
% 163.42/163.18 [1591]~E(x15911,x15912)+E(f833(x15913,x15914,x15911,x15915),f833(x15913,x15914,x15912,x15915))
% 163.42/163.18 [1592]~E(x15921,x15922)+E(f833(x15923,x15924,x15925,x15921),f833(x15923,x15924,x15925,x15922))
% 163.42/163.18 [1593]~E(x15931,x15932)+E(f553(x15931),f553(x15932))
% 163.42/163.18 [1594]~E(x15941,x15942)+E(f208(x15941,x15943,x15944,x15945,x15946,x15947,x15948),f208(x15942,x15943,x15944,x15945,x15946,x15947,x15948))
% 163.42/163.18 [1595]~E(x15951,x15952)+E(f208(x15953,x15951,x15954,x15955,x15956,x15957,x15958),f208(x15953,x15952,x15954,x15955,x15956,x15957,x15958))
% 163.42/163.18 [1596]~E(x15961,x15962)+E(f208(x15963,x15964,x15961,x15965,x15966,x15967,x15968),f208(x15963,x15964,x15962,x15965,x15966,x15967,x15968))
% 163.42/163.18 [1597]~E(x15971,x15972)+E(f208(x15973,x15974,x15975,x15971,x15976,x15977,x15978),f208(x15973,x15974,x15975,x15972,x15976,x15977,x15978))
% 163.42/163.18 [1598]~E(x15981,x15982)+E(f208(x15983,x15984,x15985,x15986,x15981,x15987,x15988),f208(x15983,x15984,x15985,x15986,x15982,x15987,x15988))
% 163.42/163.18 [1599]~E(x15991,x15992)+E(f208(x15993,x15994,x15995,x15996,x15997,x15991,x15998),f208(x15993,x15994,x15995,x15996,x15997,x15992,x15998))
% 163.42/163.18 [1600]~E(x16001,x16002)+E(f208(x16003,x16004,x16005,x16006,x16007,x16008,x16001),f208(x16003,x16004,x16005,x16006,x16007,x16008,x16002))
% 163.42/163.18 [1601]~E(x16011,x16012)+E(f389(x16011,x16013,x16014),f389(x16012,x16013,x16014))
% 163.42/163.18 [1602]~E(x16021,x16022)+E(f389(x16023,x16021,x16024),f389(x16023,x16022,x16024))
% 163.42/163.18 [1603]~E(x16031,x16032)+E(f389(x16033,x16034,x16031),f389(x16033,x16034,x16032))
% 163.42/163.18 [1604]~E(x16041,x16042)+E(f366(x16041,x16043,x16044,x16045),f366(x16042,x16043,x16044,x16045))
% 163.42/163.18 [1605]~E(x16051,x16052)+E(f366(x16053,x16051,x16054,x16055),f366(x16053,x16052,x16054,x16055))
% 163.42/163.18 [1606]~E(x16061,x16062)+E(f366(x16063,x16064,x16061,x16065),f366(x16063,x16064,x16062,x16065))
% 163.42/163.18 [1607]~E(x16071,x16072)+E(f366(x16073,x16074,x16075,x16071),f366(x16073,x16074,x16075,x16072))
% 163.42/163.18 [1608]~E(x16081,x16082)+E(f337(x16081),f337(x16082))
% 163.42/163.18 [1609]~E(x16091,x16092)+E(f726(x16091,x16093),f726(x16092,x16093))
% 163.42/163.18 [1610]~E(x16101,x16102)+E(f726(x16103,x16101),f726(x16103,x16102))
% 163.42/163.18 [1611]~E(x16111,x16112)+E(f291(x16111,x16113),f291(x16112,x16113))
% 163.42/163.18 [1612]~E(x16121,x16122)+E(f291(x16123,x16121),f291(x16123,x16122))
% 163.42/163.18 [1613]~E(x16131,x16132)+E(f93(x16131,x16133,x16134),f93(x16132,x16133,x16134))
% 163.42/163.18 [1614]~E(x16141,x16142)+E(f93(x16143,x16141,x16144),f93(x16143,x16142,x16144))
% 163.42/163.18 [1615]~E(x16151,x16152)+E(f93(x16153,x16154,x16151),f93(x16153,x16154,x16152))
% 163.42/163.18 [1616]~E(x16161,x16162)+E(f415(x16161,x16163),f415(x16162,x16163))
% 163.42/163.18 [1617]~E(x16171,x16172)+E(f415(x16173,x16171),f415(x16173,x16172))
% 163.42/163.18 [1618]~E(x16181,x16182)+E(f701(x16181,x16183,x16184,x16185),f701(x16182,x16183,x16184,x16185))
% 163.42/163.18 [1619]~E(x16191,x16192)+E(f701(x16193,x16191,x16194,x16195),f701(x16193,x16192,x16194,x16195))
% 163.42/163.18 [1620]~E(x16201,x16202)+E(f701(x16203,x16204,x16201,x16205),f701(x16203,x16204,x16202,x16205))
% 163.42/163.18 [1621]~E(x16211,x16212)+E(f701(x16213,x16214,x16215,x16211),f701(x16213,x16214,x16215,x16212))
% 163.42/163.18 [1622]~E(x16221,x16222)+E(f706(x16221,x16223),f706(x16222,x16223))
% 163.42/163.18 [1623]~E(x16231,x16232)+E(f706(x16233,x16231),f706(x16233,x16232))
% 163.42/163.18 [1624]~E(x16241,x16242)+E(f820(x16241,x16243,x16244),f820(x16242,x16243,x16244))
% 163.42/163.18 [1625]~E(x16251,x16252)+E(f820(x16253,x16251,x16254),f820(x16253,x16252,x16254))
% 163.42/163.18 [1626]~E(x16261,x16262)+E(f820(x16263,x16264,x16261),f820(x16263,x16264,x16262))
% 163.42/163.18 [1627]~E(x16271,x16272)+E(f677(x16271,x16273,x16274,x16275),f677(x16272,x16273,x16274,x16275))
% 163.42/163.18 [1628]~E(x16281,x16282)+E(f677(x16283,x16281,x16284,x16285),f677(x16283,x16282,x16284,x16285))
% 163.42/163.18 [1629]~E(x16291,x16292)+E(f677(x16293,x16294,x16291,x16295),f677(x16293,x16294,x16292,x16295))
% 163.42/163.18 [1630]~E(x16301,x16302)+E(f677(x16303,x16304,x16305,x16301),f677(x16303,x16304,x16305,x16302))
% 163.42/163.18 [1631]~E(x16311,x16312)+E(f231(x16311,x16313,x16314),f231(x16312,x16313,x16314))
% 163.42/163.18 [1632]~E(x16321,x16322)+E(f231(x16323,x16321,x16324),f231(x16323,x16322,x16324))
% 163.42/163.18 [1633]~E(x16331,x16332)+E(f231(x16333,x16334,x16331),f231(x16333,x16334,x16332))
% 163.42/163.18 [1634]~E(x16341,x16342)+E(f767(x16341,x16343,x16344),f767(x16342,x16343,x16344))
% 163.42/163.18 [1635]~E(x16351,x16352)+E(f767(x16353,x16351,x16354),f767(x16353,x16352,x16354))
% 163.42/163.18 [1636]~E(x16361,x16362)+E(f767(x16363,x16364,x16361),f767(x16363,x16364,x16362))
% 163.42/163.18 [1637]~E(x16371,x16372)+E(f715(x16371,x16373,x16374),f715(x16372,x16373,x16374))
% 163.42/163.18 [1638]~E(x16381,x16382)+E(f715(x16383,x16381,x16384),f715(x16383,x16382,x16384))
% 163.42/163.18 [1639]~E(x16391,x16392)+E(f715(x16393,x16394,x16391),f715(x16393,x16394,x16392))
% 163.42/163.18 [1640]~E(x16401,x16402)+E(f434(x16401,x16403,x16404,x16405,x16406),f434(x16402,x16403,x16404,x16405,x16406))
% 163.42/163.18 [1641]~E(x16411,x16412)+E(f434(x16413,x16411,x16414,x16415,x16416),f434(x16413,x16412,x16414,x16415,x16416))
% 163.42/163.18 [1642]~E(x16421,x16422)+E(f434(x16423,x16424,x16421,x16425,x16426),f434(x16423,x16424,x16422,x16425,x16426))
% 163.42/163.18 [1643]~E(x16431,x16432)+E(f434(x16433,x16434,x16435,x16431,x16436),f434(x16433,x16434,x16435,x16432,x16436))
% 163.42/163.18 [1644]~E(x16441,x16442)+E(f434(x16443,x16444,x16445,x16446,x16441),f434(x16443,x16444,x16445,x16446,x16442))
% 163.42/163.18 [1645]~E(x16451,x16452)+E(f638(x16451,x16453,x16454),f638(x16452,x16453,x16454))
% 163.42/163.18 [1646]~E(x16461,x16462)+E(f638(x16463,x16461,x16464),f638(x16463,x16462,x16464))
% 163.42/163.18 [1647]~E(x16471,x16472)+E(f638(x16473,x16474,x16471),f638(x16473,x16474,x16472))
% 163.42/163.18 [1648]~E(x16481,x16482)+E(f913(x16481,x16483,x16484,x16485),f913(x16482,x16483,x16484,x16485))
% 163.42/163.18 [1649]~E(x16491,x16492)+E(f913(x16493,x16491,x16494,x16495),f913(x16493,x16492,x16494,x16495))
% 163.42/163.18 [1650]~E(x16501,x16502)+E(f913(x16503,x16504,x16501,x16505),f913(x16503,x16504,x16502,x16505))
% 163.42/163.18 [1651]~E(x16511,x16512)+E(f913(x16513,x16514,x16515,x16511),f913(x16513,x16514,x16515,x16512))
% 163.42/163.18 [1652]~E(x16521,x16522)+E(f562(x16521,x16523,x16524,x16525),f562(x16522,x16523,x16524,x16525))
% 163.42/163.18 [1653]~E(x16531,x16532)+E(f562(x16533,x16531,x16534,x16535),f562(x16533,x16532,x16534,x16535))
% 163.42/163.18 [1654]~E(x16541,x16542)+E(f562(x16543,x16544,x16541,x16545),f562(x16543,x16544,x16542,x16545))
% 163.42/163.18 [1655]~E(x16551,x16552)+E(f562(x16553,x16554,x16555,x16551),f562(x16553,x16554,x16555,x16552))
% 163.42/163.18 [1656]~E(x16561,x16562)+E(f827(x16561,x16563,x16564,x16565,x16566),f827(x16562,x16563,x16564,x16565,x16566))
% 163.42/163.18 [1657]~E(x16571,x16572)+E(f827(x16573,x16571,x16574,x16575,x16576),f827(x16573,x16572,x16574,x16575,x16576))
% 163.42/163.18 [1658]~E(x16581,x16582)+E(f827(x16583,x16584,x16581,x16585,x16586),f827(x16583,x16584,x16582,x16585,x16586))
% 163.42/163.18 [1659]~E(x16591,x16592)+E(f827(x16593,x16594,x16595,x16591,x16596),f827(x16593,x16594,x16595,x16592,x16596))
% 163.42/163.18 [1660]~E(x16601,x16602)+E(f827(x16603,x16604,x16605,x16606,x16601),f827(x16603,x16604,x16605,x16606,x16602))
% 163.42/163.18 [1661]~E(x16611,x16612)+E(f294(x16611,x16613,x16614),f294(x16612,x16613,x16614))
% 163.42/163.18 [1662]~E(x16621,x16622)+E(f294(x16623,x16621,x16624),f294(x16623,x16622,x16624))
% 163.42/163.18 [1663]~E(x16631,x16632)+E(f294(x16633,x16634,x16631),f294(x16633,x16634,x16632))
% 163.42/163.18 [1664]~E(x16641,x16642)+E(f19(x16641,x16643,x16644,x16645),f19(x16642,x16643,x16644,x16645))
% 163.42/163.18 [1665]~E(x16651,x16652)+E(f19(x16653,x16651,x16654,x16655),f19(x16653,x16652,x16654,x16655))
% 163.42/163.18 [1666]~E(x16661,x16662)+E(f19(x16663,x16664,x16661,x16665),f19(x16663,x16664,x16662,x16665))
% 163.42/163.18 [1667]~E(x16671,x16672)+E(f19(x16673,x16674,x16675,x16671),f19(x16673,x16674,x16675,x16672))
% 163.42/163.18 [1668]~E(x16681,x16682)+E(f429(x16681,x16683,x16684,x16685,x16686),f429(x16682,x16683,x16684,x16685,x16686))
% 163.42/163.18 [1669]~E(x16691,x16692)+E(f429(x16693,x16691,x16694,x16695,x16696),f429(x16693,x16692,x16694,x16695,x16696))
% 163.42/163.18 [1670]~E(x16701,x16702)+E(f429(x16703,x16704,x16701,x16705,x16706),f429(x16703,x16704,x16702,x16705,x16706))
% 163.42/163.18 [1671]~E(x16711,x16712)+E(f429(x16713,x16714,x16715,x16711,x16716),f429(x16713,x16714,x16715,x16712,x16716))
% 163.42/163.18 [1672]~E(x16721,x16722)+E(f429(x16723,x16724,x16725,x16726,x16721),f429(x16723,x16724,x16725,x16726,x16722))
% 163.42/163.18 [1673]~E(x16731,x16732)+E(f440(x16731,x16733,x16734,x16735,x16736),f440(x16732,x16733,x16734,x16735,x16736))
% 163.42/163.18 [1674]~E(x16741,x16742)+E(f440(x16743,x16741,x16744,x16745,x16746),f440(x16743,x16742,x16744,x16745,x16746))
% 163.42/163.18 [1675]~E(x16751,x16752)+E(f440(x16753,x16754,x16751,x16755,x16756),f440(x16753,x16754,x16752,x16755,x16756))
% 163.42/163.18 [1676]~E(x16761,x16762)+E(f440(x16763,x16764,x16765,x16761,x16766),f440(x16763,x16764,x16765,x16762,x16766))
% 163.42/163.18 [1677]~E(x16771,x16772)+E(f440(x16773,x16774,x16775,x16776,x16771),f440(x16773,x16774,x16775,x16776,x16772))
% 163.42/163.18 [1678]~E(x16781,x16782)+E(f449(x16781,x16783,x16784,x16785),f449(x16782,x16783,x16784,x16785))
% 163.42/163.18 [1679]~E(x16791,x16792)+E(f449(x16793,x16791,x16794,x16795),f449(x16793,x16792,x16794,x16795))
% 163.42/163.18 [1680]~E(x16801,x16802)+E(f449(x16803,x16804,x16801,x16805),f449(x16803,x16804,x16802,x16805))
% 163.42/163.18 [1681]~E(x16811,x16812)+E(f449(x16813,x16814,x16815,x16811),f449(x16813,x16814,x16815,x16812))
% 163.42/163.18 [1682]~E(x16821,x16822)+E(f431(x16821,x16823,x16824,x16825,x16826),f431(x16822,x16823,x16824,x16825,x16826))
% 163.42/163.18 [1683]~E(x16831,x16832)+E(f431(x16833,x16831,x16834,x16835,x16836),f431(x16833,x16832,x16834,x16835,x16836))
% 163.42/163.18 [1684]~E(x16841,x16842)+E(f431(x16843,x16844,x16841,x16845,x16846),f431(x16843,x16844,x16842,x16845,x16846))
% 163.42/163.18 [1685]~E(x16851,x16852)+E(f431(x16853,x16854,x16855,x16851,x16856),f431(x16853,x16854,x16855,x16852,x16856))
% 163.42/163.18 [1686]~E(x16861,x16862)+E(f431(x16863,x16864,x16865,x16866,x16861),f431(x16863,x16864,x16865,x16866,x16862))
% 163.42/163.18 [1687]~E(x16871,x16872)+E(f484(x16871,x16873,x16874),f484(x16872,x16873,x16874))
% 163.42/163.18 [1688]~E(x16881,x16882)+E(f484(x16883,x16881,x16884),f484(x16883,x16882,x16884))
% 163.42/163.18 [1689]~E(x16891,x16892)+E(f484(x16893,x16894,x16891),f484(x16893,x16894,x16892))
% 163.42/163.18 [1690]~E(x16901,x16902)+E(f812(x16901,x16903),f812(x16902,x16903))
% 163.42/163.18 [1691]~E(x16911,x16912)+E(f812(x16913,x16911),f812(x16913,x16912))
% 163.42/163.18 [1692]~E(x16921,x16922)+E(f758(x16921,x16923,x16924),f758(x16922,x16923,x16924))
% 163.42/163.18 [1693]~E(x16931,x16932)+E(f758(x16933,x16931,x16934),f758(x16933,x16932,x16934))
% 163.42/163.18 [1694]~E(x16941,x16942)+E(f758(x16943,x16944,x16941),f758(x16943,x16944,x16942))
% 163.42/163.18 [1695]~E(x16951,x16952)+E(f899(x16951,x16953,x16954),f899(x16952,x16953,x16954))
% 163.42/163.18 [1696]~E(x16961,x16962)+E(f899(x16963,x16961,x16964),f899(x16963,x16962,x16964))
% 163.42/163.18 [1697]~E(x16971,x16972)+E(f899(x16973,x16974,x16971),f899(x16973,x16974,x16972))
% 163.42/163.18 [1698]~E(x16981,x16982)+E(f663(x16981,x16983),f663(x16982,x16983))
% 163.42/163.18 [1699]~E(x16991,x16992)+E(f663(x16993,x16991),f663(x16993,x16992))
% 163.42/163.18 [1700]~E(x17001,x17002)+E(f587(x17001,x17003,x17004,x17005,x17006),f587(x17002,x17003,x17004,x17005,x17006))
% 163.42/163.18 [1701]~E(x17011,x17012)+E(f587(x17013,x17011,x17014,x17015,x17016),f587(x17013,x17012,x17014,x17015,x17016))
% 163.42/163.18 [1702]~E(x17021,x17022)+E(f587(x17023,x17024,x17021,x17025,x17026),f587(x17023,x17024,x17022,x17025,x17026))
% 163.42/163.18 [1703]~E(x17031,x17032)+E(f587(x17033,x17034,x17035,x17031,x17036),f587(x17033,x17034,x17035,x17032,x17036))
% 163.42/163.18 [1704]~E(x17041,x17042)+E(f587(x17043,x17044,x17045,x17046,x17041),f587(x17043,x17044,x17045,x17046,x17042))
% 163.42/163.18 [1705]~E(x17051,x17052)+E(f524(x17051,x17053,x17054),f524(x17052,x17053,x17054))
% 163.42/163.18 [1706]~E(x17061,x17062)+E(f524(x17063,x17061,x17064),f524(x17063,x17062,x17064))
% 163.42/163.18 [1707]~E(x17071,x17072)+E(f524(x17073,x17074,x17071),f524(x17073,x17074,x17072))
% 163.42/163.18 [1708]~E(x17081,x17082)+E(f867(x17081,x17083,x17084),f867(x17082,x17083,x17084))
% 163.42/163.18 [1709]~E(x17091,x17092)+E(f867(x17093,x17091,x17094),f867(x17093,x17092,x17094))
% 163.42/163.18 [1710]~E(x17101,x17102)+E(f867(x17103,x17104,x17101),f867(x17103,x17104,x17102))
% 163.42/163.18 [1711]~E(x17111,x17112)+E(f392(x17111,x17113,x17114),f392(x17112,x17113,x17114))
% 163.42/163.18 [1712]~E(x17121,x17122)+E(f392(x17123,x17121,x17124),f392(x17123,x17122,x17124))
% 163.42/163.18 [1713]~E(x17131,x17132)+E(f392(x17133,x17134,x17131),f392(x17133,x17134,x17132))
% 163.42/163.18 [1714]~E(x17141,x17142)+E(f811(x17141,x17143,x17144),f811(x17142,x17143,x17144))
% 163.42/163.18 [1715]~E(x17151,x17152)+E(f811(x17153,x17151,x17154),f811(x17153,x17152,x17154))
% 163.42/163.18 [1716]~E(x17161,x17162)+E(f811(x17163,x17164,x17161),f811(x17163,x17164,x17162))
% 163.42/163.18 [1717]~E(x17171,x17172)+E(f850(x17171,x17173,x17174,x17175,x17176,x17177,x17178,x17179),f850(x17172,x17173,x17174,x17175,x17176,x17177,x17178,x17179))
% 163.42/163.18 [1718]~E(x17181,x17182)+E(f850(x17183,x17181,x17184,x17185,x17186,x17187,x17188,x17189),f850(x17183,x17182,x17184,x17185,x17186,x17187,x17188,x17189))
% 163.42/163.18 [1719]~E(x17191,x17192)+E(f850(x17193,x17194,x17191,x17195,x17196,x17197,x17198,x17199),f850(x17193,x17194,x17192,x17195,x17196,x17197,x17198,x17199))
% 163.42/163.18 [1720]~E(x17201,x17202)+E(f850(x17203,x17204,x17205,x17201,x17206,x17207,x17208,x17209),f850(x17203,x17204,x17205,x17202,x17206,x17207,x17208,x17209))
% 163.42/163.18 [1721]~E(x17211,x17212)+E(f850(x17213,x17214,x17215,x17216,x17211,x17217,x17218,x17219),f850(x17213,x17214,x17215,x17216,x17212,x17217,x17218,x17219))
% 163.42/163.18 [1722]~E(x17221,x17222)+E(f850(x17223,x17224,x17225,x17226,x17227,x17221,x17228,x17229),f850(x17223,x17224,x17225,x17226,x17227,x17222,x17228,x17229))
% 163.42/163.18 [1723]~E(x17231,x17232)+E(f850(x17233,x17234,x17235,x17236,x17237,x17238,x17231,x17239),f850(x17233,x17234,x17235,x17236,x17237,x17238,x17232,x17239))
% 163.42/163.18 [1724]~E(x17241,x17242)+E(f850(x17243,x17244,x17245,x17246,x17247,x17248,x17249,x17241),f850(x17243,x17244,x17245,x17246,x17247,x17248,x17249,x17242))
% 163.42/163.18 [1725]~E(x17251,x17252)+E(f525(x17251,x17253,x17254),f525(x17252,x17253,x17254))
% 163.42/163.18 [1726]~E(x17261,x17262)+E(f525(x17263,x17261,x17264),f525(x17263,x17262,x17264))
% 163.42/163.18 [1727]~E(x17271,x17272)+E(f525(x17273,x17274,x17271),f525(x17273,x17274,x17272))
% 163.42/163.18 [1728]~E(x17281,x17282)+E(f575(x17281,x17283,x17284),f575(x17282,x17283,x17284))
% 163.42/163.18 [1729]~E(x17291,x17292)+E(f575(x17293,x17291,x17294),f575(x17293,x17292,x17294))
% 163.42/163.18 [1730]~E(x17301,x17302)+E(f575(x17303,x17304,x17301),f575(x17303,x17304,x17302))
% 163.42/163.18 [1731]~E(x17311,x17312)+E(f163(x17311,x17313,x17314,x17315),f163(x17312,x17313,x17314,x17315))
% 163.42/163.18 [1732]~E(x17321,x17322)+E(f163(x17323,x17321,x17324,x17325),f163(x17323,x17322,x17324,x17325))
% 163.42/163.18 [1733]~E(x17331,x17332)+E(f163(x17333,x17334,x17331,x17335),f163(x17333,x17334,x17332,x17335))
% 163.42/163.18 [1734]~E(x17341,x17342)+E(f163(x17343,x17344,x17345,x17341),f163(x17343,x17344,x17345,x17342))
% 163.42/163.18 [1735]~E(x17351,x17352)+E(f860(x17351,x17353),f860(x17352,x17353))
% 163.42/163.18 [1736]~E(x17361,x17362)+E(f860(x17363,x17361),f860(x17363,x17362))
% 163.42/163.18 [1737]~E(x17371,x17372)+E(f914(x17371,x17373,x17374,x17375),f914(x17372,x17373,x17374,x17375))
% 163.42/163.18 [1738]~E(x17381,x17382)+E(f914(x17383,x17381,x17384,x17385),f914(x17383,x17382,x17384,x17385))
% 163.42/163.18 [1739]~E(x17391,x17392)+E(f914(x17393,x17394,x17391,x17395),f914(x17393,x17394,x17392,x17395))
% 163.42/163.18 [1740]~E(x17401,x17402)+E(f914(x17403,x17404,x17405,x17401),f914(x17403,x17404,x17405,x17402))
% 163.42/163.18 [1741]~E(x17411,x17412)+E(f600(x17411,x17413,x17414),f600(x17412,x17413,x17414))
% 163.42/163.18 [1742]~E(x17421,x17422)+E(f600(x17423,x17421,x17424),f600(x17423,x17422,x17424))
% 163.42/163.18 [1743]~E(x17431,x17432)+E(f600(x17433,x17434,x17431),f600(x17433,x17434,x17432))
% 163.42/163.18 [1744]~E(x17441,x17442)+E(f264(x17441,x17443,x17444),f264(x17442,x17443,x17444))
% 163.42/163.18 [1745]~E(x17451,x17452)+E(f264(x17453,x17451,x17454),f264(x17453,x17452,x17454))
% 163.42/163.18 [1746]~E(x17461,x17462)+E(f264(x17463,x17464,x17461),f264(x17463,x17464,x17462))
% 163.42/163.18 [1747]~E(x17471,x17472)+E(f542(x17471,x17473,x17474,x17475,x17476,x17477),f542(x17472,x17473,x17474,x17475,x17476,x17477))
% 163.42/163.18 [1748]~E(x17481,x17482)+E(f542(x17483,x17481,x17484,x17485,x17486,x17487),f542(x17483,x17482,x17484,x17485,x17486,x17487))
% 163.42/163.18 [1749]~E(x17491,x17492)+E(f542(x17493,x17494,x17491,x17495,x17496,x17497),f542(x17493,x17494,x17492,x17495,x17496,x17497))
% 163.42/163.18 [1750]~E(x17501,x17502)+E(f542(x17503,x17504,x17505,x17501,x17506,x17507),f542(x17503,x17504,x17505,x17502,x17506,x17507))
% 163.42/163.18 [1751]~E(x17511,x17512)+E(f542(x17513,x17514,x17515,x17516,x17511,x17517),f542(x17513,x17514,x17515,x17516,x17512,x17517))
% 163.42/163.18 [1752]~E(x17521,x17522)+E(f542(x17523,x17524,x17525,x17526,x17527,x17521),f542(x17523,x17524,x17525,x17526,x17527,x17522))
% 163.42/163.18 [1753]~E(x17531,x17532)+E(f614(x17531,x17533,x17534),f614(x17532,x17533,x17534))
% 163.42/163.18 [1754]~E(x17541,x17542)+E(f614(x17543,x17541,x17544),f614(x17543,x17542,x17544))
% 163.42/163.18 [1755]~E(x17551,x17552)+E(f614(x17553,x17554,x17551),f614(x17553,x17554,x17552))
% 163.42/163.18 [1756]~E(x17561,x17562)+E(f619(x17561,x17563),f619(x17562,x17563))
% 163.42/163.18 [1757]~E(x17571,x17572)+E(f619(x17573,x17571),f619(x17573,x17572))
% 163.42/163.18 [1758]~E(x17581,x17582)+E(f384(x17581,x17583,x17584),f384(x17582,x17583,x17584))
% 163.42/163.18 [1759]~E(x17591,x17592)+E(f384(x17593,x17591,x17594),f384(x17593,x17592,x17594))
% 163.42/163.18 [1760]~E(x17601,x17602)+E(f384(x17603,x17604,x17601),f384(x17603,x17604,x17602))
% 163.42/163.18 [1761]~E(x17611,x17612)+E(f662(x17611,x17613,x17614),f662(x17612,x17613,x17614))
% 163.42/163.18 [1762]~E(x17621,x17622)+E(f662(x17623,x17621,x17624),f662(x17623,x17622,x17624))
% 163.42/163.18 [1763]~E(x17631,x17632)+E(f662(x17633,x17634,x17631),f662(x17633,x17634,x17632))
% 163.42/163.18 [1764]~E(x17641,x17642)+E(f527(x17641,x17643,x17644,x17645,x17646),f527(x17642,x17643,x17644,x17645,x17646))
% 163.42/163.18 [1765]~E(x17651,x17652)+E(f527(x17653,x17651,x17654,x17655,x17656),f527(x17653,x17652,x17654,x17655,x17656))
% 163.42/163.18 [1766]~E(x17661,x17662)+E(f527(x17663,x17664,x17661,x17665,x17666),f527(x17663,x17664,x17662,x17665,x17666))
% 163.42/163.18 [1767]~E(x17671,x17672)+E(f527(x17673,x17674,x17675,x17671,x17676),f527(x17673,x17674,x17675,x17672,x17676))
% 163.42/163.18 [1768]~E(x17681,x17682)+E(f527(x17683,x17684,x17685,x17686,x17681),f527(x17683,x17684,x17685,x17686,x17682))
% 163.42/163.18 [1769]~E(x17691,x17692)+E(f476(x17691,x17693,x17694,x17695),f476(x17692,x17693,x17694,x17695))
% 163.42/163.18 [1770]~E(x17701,x17702)+E(f476(x17703,x17701,x17704,x17705),f476(x17703,x17702,x17704,x17705))
% 163.42/163.18 [1771]~E(x17711,x17712)+E(f476(x17713,x17714,x17711,x17715),f476(x17713,x17714,x17712,x17715))
% 163.42/163.18 [1772]~E(x17721,x17722)+E(f476(x17723,x17724,x17725,x17721),f476(x17723,x17724,x17725,x17722))
% 163.42/163.18 [1773]~E(x17731,x17732)+E(f884(x17731,x17733,x17734,x17735),f884(x17732,x17733,x17734,x17735))
% 163.42/163.18 [1774]~E(x17741,x17742)+E(f884(x17743,x17741,x17744,x17745),f884(x17743,x17742,x17744,x17745))
% 163.42/163.18 [1775]~E(x17751,x17752)+E(f884(x17753,x17754,x17751,x17755),f884(x17753,x17754,x17752,x17755))
% 163.42/163.18 [1776]~E(x17761,x17762)+E(f884(x17763,x17764,x17765,x17761),f884(x17763,x17764,x17765,x17762))
% 163.42/163.18 [1777]~E(x17771,x17772)+E(f421(x17771,x17773),f421(x17772,x17773))
% 163.42/163.18 [1778]~E(x17781,x17782)+E(f421(x17783,x17781),f421(x17783,x17782))
% 163.42/163.18 [1779]~E(x17791,x17792)+E(f502(x17791,x17793,x17794,x17795),f502(x17792,x17793,x17794,x17795))
% 163.42/163.18 [1780]~E(x17801,x17802)+E(f502(x17803,x17801,x17804,x17805),f502(x17803,x17802,x17804,x17805))
% 163.42/163.18 [1781]~E(x17811,x17812)+E(f502(x17813,x17814,x17811,x17815),f502(x17813,x17814,x17812,x17815))
% 163.42/163.18 [1782]~E(x17821,x17822)+E(f502(x17823,x17824,x17825,x17821),f502(x17823,x17824,x17825,x17822))
% 163.42/163.18 [1783]~E(x17831,x17832)+E(f604(x17831,x17833,x17834),f604(x17832,x17833,x17834))
% 163.42/163.18 [1784]~E(x17841,x17842)+E(f604(x17843,x17841,x17844),f604(x17843,x17842,x17844))
% 163.42/163.18 [1785]~E(x17851,x17852)+E(f604(x17853,x17854,x17851),f604(x17853,x17854,x17852))
% 163.42/163.18 [1786]~E(x17861,x17862)+E(f617(x17861,x17863),f617(x17862,x17863))
% 163.42/163.18 [1787]~E(x17871,x17872)+E(f617(x17873,x17871),f617(x17873,x17872))
% 163.42/163.18 [1788]~E(x17881,x17882)+E(f596(x17881,x17883),f596(x17882,x17883))
% 163.42/163.18 [1789]~E(x17891,x17892)+E(f596(x17893,x17891),f596(x17893,x17892))
% 163.42/163.18 [1790]~E(x17901,x17902)+E(f895(x17901,x17903,x17904,x17905,x17906,x17907,x17908),f895(x17902,x17903,x17904,x17905,x17906,x17907,x17908))
% 163.42/163.18 [1791]~E(x17911,x17912)+E(f895(x17913,x17911,x17914,x17915,x17916,x17917,x17918),f895(x17913,x17912,x17914,x17915,x17916,x17917,x17918))
% 163.42/163.18 [1792]~E(x17921,x17922)+E(f895(x17923,x17924,x17921,x17925,x17926,x17927,x17928),f895(x17923,x17924,x17922,x17925,x17926,x17927,x17928))
% 163.42/163.18 [1793]~E(x17931,x17932)+E(f895(x17933,x17934,x17935,x17931,x17936,x17937,x17938),f895(x17933,x17934,x17935,x17932,x17936,x17937,x17938))
% 163.42/163.18 [1794]~E(x17941,x17942)+E(f895(x17943,x17944,x17945,x17946,x17941,x17947,x17948),f895(x17943,x17944,x17945,x17946,x17942,x17947,x17948))
% 163.42/163.18 [1795]~E(x17951,x17952)+E(f895(x17953,x17954,x17955,x17956,x17957,x17951,x17958),f895(x17953,x17954,x17955,x17956,x17957,x17952,x17958))
% 163.42/163.18 [1796]~E(x17961,x17962)+E(f895(x17963,x17964,x17965,x17966,x17967,x17968,x17961),f895(x17963,x17964,x17965,x17966,x17967,x17968,x17962))
% 163.42/163.18 [1797]~E(x17971,x17972)+E(f766(x17971,x17973,x17974),f766(x17972,x17973,x17974))
% 163.42/163.18 [1798]~E(x17981,x17982)+E(f766(x17983,x17981,x17984),f766(x17983,x17982,x17984))
% 163.42/163.18 [1799]~E(x17991,x17992)+E(f766(x17993,x17994,x17991),f766(x17993,x17994,x17992))
% 163.42/163.18 [1800]~E(x18001,x18002)+E(f679(x18001,x18003,x18004),f679(x18002,x18003,x18004))
% 163.42/163.18 [1801]~E(x18011,x18012)+E(f679(x18013,x18011,x18014),f679(x18013,x18012,x18014))
% 163.42/163.18 [1802]~E(x18021,x18022)+E(f679(x18023,x18024,x18021),f679(x18023,x18024,x18022))
% 163.42/163.18 [1803]~E(x18031,x18032)+E(f754(x18031,x18033,x18034),f754(x18032,x18033,x18034))
% 163.42/163.18 [1804]~E(x18041,x18042)+E(f754(x18043,x18041,x18044),f754(x18043,x18042,x18044))
% 163.42/163.18 [1805]~E(x18051,x18052)+E(f754(x18053,x18054,x18051),f754(x18053,x18054,x18052))
% 163.42/163.18 [1806]~E(x18061,x18062)+E(f453(x18061,x18063,x18064,x18065,x18066),f453(x18062,x18063,x18064,x18065,x18066))
% 163.42/163.18 [1807]~E(x18071,x18072)+E(f453(x18073,x18071,x18074,x18075,x18076),f453(x18073,x18072,x18074,x18075,x18076))
% 163.42/163.18 [1808]~E(x18081,x18082)+E(f453(x18083,x18084,x18081,x18085,x18086),f453(x18083,x18084,x18082,x18085,x18086))
% 163.42/163.18 [1809]~E(x18091,x18092)+E(f453(x18093,x18094,x18095,x18091,x18096),f453(x18093,x18094,x18095,x18092,x18096))
% 163.42/163.18 [1810]~E(x18101,x18102)+E(f453(x18103,x18104,x18105,x18106,x18101),f453(x18103,x18104,x18105,x18106,x18102))
% 163.42/163.18 [1811]~E(x18111,x18112)+E(f531(x18111,x18113,x18114,x18115,x18116),f531(x18112,x18113,x18114,x18115,x18116))
% 163.42/163.18 [1812]~E(x18121,x18122)+E(f531(x18123,x18121,x18124,x18125,x18126),f531(x18123,x18122,x18124,x18125,x18126))
% 163.42/163.18 [1813]~E(x18131,x18132)+E(f531(x18133,x18134,x18131,x18135,x18136),f531(x18133,x18134,x18132,x18135,x18136))
% 163.42/163.18 [1814]~E(x18141,x18142)+E(f531(x18143,x18144,x18145,x18141,x18146),f531(x18143,x18144,x18145,x18142,x18146))
% 163.42/163.18 [1815]~E(x18151,x18152)+E(f531(x18153,x18154,x18155,x18156,x18151),f531(x18153,x18154,x18155,x18156,x18152))
% 163.42/163.18 [1816]~E(x18161,x18162)+E(f474(x18161,x18163),f474(x18162,x18163))
% 163.42/163.18 [1817]~E(x18171,x18172)+E(f474(x18173,x18171),f474(x18173,x18172))
% 163.42/163.18 [1818]~E(x18181,x18182)+E(f643(x18181,x18183,x18184,x18185),f643(x18182,x18183,x18184,x18185))
% 163.42/163.18 [1819]~E(x18191,x18192)+E(f643(x18193,x18191,x18194,x18195),f643(x18193,x18192,x18194,x18195))
% 163.42/163.18 [1820]~E(x18201,x18202)+E(f643(x18203,x18204,x18201,x18205),f643(x18203,x18204,x18202,x18205))
% 163.42/163.18 [1821]~E(x18211,x18212)+E(f643(x18213,x18214,x18215,x18211),f643(x18213,x18214,x18215,x18212))
% 163.42/163.18 [1822]~E(x18221,x18222)+E(f360(x18221,x18223,x18224),f360(x18222,x18223,x18224))
% 163.42/163.18 [1823]~E(x18231,x18232)+E(f360(x18233,x18231,x18234),f360(x18233,x18232,x18234))
% 163.42/163.18 [1824]~E(x18241,x18242)+E(f360(x18243,x18244,x18241),f360(x18243,x18244,x18242))
% 163.42/163.18 [1825]~E(x18251,x18252)+E(f633(x18251,x18253,x18254,x18255,x18256),f633(x18252,x18253,x18254,x18255,x18256))
% 163.42/163.18 [1826]~E(x18261,x18262)+E(f633(x18263,x18261,x18264,x18265,x18266),f633(x18263,x18262,x18264,x18265,x18266))
% 163.42/163.18 [1827]~E(x18271,x18272)+E(f633(x18273,x18274,x18271,x18275,x18276),f633(x18273,x18274,x18272,x18275,x18276))
% 163.42/163.18 [1828]~E(x18281,x18282)+E(f633(x18283,x18284,x18285,x18281,x18286),f633(x18283,x18284,x18285,x18282,x18286))
% 163.42/163.18 [1829]~E(x18291,x18292)+E(f633(x18293,x18294,x18295,x18296,x18291),f633(x18293,x18294,x18295,x18296,x18292))
% 163.42/163.18 [1830]~E(x18301,x18302)+E(f650(x18301,x18303),f650(x18302,x18303))
% 163.42/163.18 [1831]~E(x18311,x18312)+E(f650(x18313,x18311),f650(x18313,x18312))
% 163.42/163.18 [1832]~E(x18321,x18322)+E(f893(x18321,x18323,x18324),f893(x18322,x18323,x18324))
% 163.42/163.18 [1833]~E(x18331,x18332)+E(f893(x18333,x18331,x18334),f893(x18333,x18332,x18334))
% 163.42/163.18 [1834]~E(x18341,x18342)+E(f893(x18343,x18344,x18341),f893(x18343,x18344,x18342))
% 163.42/163.18 [1835]~E(x18351,x18352)+E(f700(x18351,x18353),f700(x18352,x18353))
% 163.42/163.18 [1836]~E(x18361,x18362)+E(f700(x18363,x18361),f700(x18363,x18362))
% 163.42/163.18 [1837]~E(x18371,x18372)+E(f435(x18371,x18373,x18374,x18375,x18376),f435(x18372,x18373,x18374,x18375,x18376))
% 163.42/163.18 [1838]~E(x18381,x18382)+E(f435(x18383,x18381,x18384,x18385,x18386),f435(x18383,x18382,x18384,x18385,x18386))
% 163.42/163.18 [1839]~E(x18391,x18392)+E(f435(x18393,x18394,x18391,x18395,x18396),f435(x18393,x18394,x18392,x18395,x18396))
% 163.42/163.18 [1840]~E(x18401,x18402)+E(f435(x18403,x18404,x18405,x18401,x18406),f435(x18403,x18404,x18405,x18402,x18406))
% 163.42/163.18 [1841]~E(x18411,x18412)+E(f435(x18413,x18414,x18415,x18416,x18411),f435(x18413,x18414,x18415,x18416,x18412))
% 163.42/163.18 [1842]~E(x18421,x18422)+E(f478(x18421,x18423,x18424,x18425),f478(x18422,x18423,x18424,x18425))
% 163.42/163.18 [1843]~E(x18431,x18432)+E(f478(x18433,x18431,x18434,x18435),f478(x18433,x18432,x18434,x18435))
% 163.42/163.18 [1844]~E(x18441,x18442)+E(f478(x18443,x18444,x18441,x18445),f478(x18443,x18444,x18442,x18445))
% 163.42/163.18 [1845]~E(x18451,x18452)+E(f478(x18453,x18454,x18455,x18451),f478(x18453,x18454,x18455,x18452))
% 163.42/163.18 [1846]~E(x18461,x18462)+E(f512(x18461,x18463,x18464),f512(x18462,x18463,x18464))
% 163.42/163.18 [1847]~E(x18471,x18472)+E(f512(x18473,x18471,x18474),f512(x18473,x18472,x18474))
% 163.42/163.18 [1848]~E(x18481,x18482)+E(f512(x18483,x18484,x18481),f512(x18483,x18484,x18482))
% 163.42/163.18 [1849]~E(x18491,x18492)+E(f492(x18491,x18493),f492(x18492,x18493))
% 163.42/163.18 [1850]~E(x18501,x18502)+E(f492(x18503,x18501),f492(x18503,x18502))
% 163.42/163.18 [1851]~E(x18511,x18512)+E(f772(x18511,x18513,x18514),f772(x18512,x18513,x18514))
% 163.42/163.18 [1852]~E(x18521,x18522)+E(f772(x18523,x18521,x18524),f772(x18523,x18522,x18524))
% 163.42/163.18 [1853]~E(x18531,x18532)+E(f772(x18533,x18534,x18531),f772(x18533,x18534,x18532))
% 163.42/163.18 [1854]~E(x18541,x18542)+E(f824(x18541,x18543),f824(x18542,x18543))
% 163.42/163.18 [1855]~E(x18551,x18552)+E(f824(x18553,x18551),f824(x18553,x18552))
% 163.42/163.18 [1856]~E(x18561,x18562)+E(f569(x18561,x18563,x18564,x18565),f569(x18562,x18563,x18564,x18565))
% 163.42/163.18 [1857]~E(x18571,x18572)+E(f569(x18573,x18571,x18574,x18575),f569(x18573,x18572,x18574,x18575))
% 163.42/163.18 [1858]~E(x18581,x18582)+E(f569(x18583,x18584,x18581,x18585),f569(x18583,x18584,x18582,x18585))
% 163.42/163.18 [1859]~E(x18591,x18592)+E(f569(x18593,x18594,x18595,x18591),f569(x18593,x18594,x18595,x18592))
% 163.42/163.18 [1860]~E(x18601,x18602)+E(f565(x18601,x18603,x18604,x18605),f565(x18602,x18603,x18604,x18605))
% 163.42/163.18 [1861]~E(x18611,x18612)+E(f565(x18613,x18611,x18614,x18615),f565(x18613,x18612,x18614,x18615))
% 163.42/163.18 [1862]~E(x18621,x18622)+E(f565(x18623,x18624,x18621,x18625),f565(x18623,x18624,x18622,x18625))
% 163.42/163.18 [1863]~E(x18631,x18632)+E(f565(x18633,x18634,x18635,x18631),f565(x18633,x18634,x18635,x18632))
% 163.42/163.18 [1864]~E(x18641,x18642)+E(f813(x18641,x18643,x18644,x18645,x18646),f813(x18642,x18643,x18644,x18645,x18646))
% 163.42/163.18 [1865]~E(x18651,x18652)+E(f813(x18653,x18651,x18654,x18655,x18656),f813(x18653,x18652,x18654,x18655,x18656))
% 163.42/163.18 [1866]~E(x18661,x18662)+E(f813(x18663,x18664,x18661,x18665,x18666),f813(x18663,x18664,x18662,x18665,x18666))
% 163.42/163.18 [1867]~E(x18671,x18672)+E(f813(x18673,x18674,x18675,x18671,x18676),f813(x18673,x18674,x18675,x18672,x18676))
% 163.42/163.18 [1868]~E(x18681,x18682)+E(f813(x18683,x18684,x18685,x18686,x18681),f813(x18683,x18684,x18685,x18686,x18682))
% 163.42/163.18 [1869]~E(x18691,x18692)+E(f805(x18691,x18693),f805(x18692,x18693))
% 163.42/163.18 [1870]~E(x18701,x18702)+E(f805(x18703,x18701),f805(x18703,x18702))
% 163.42/163.18 [1871]~E(x18711,x18712)+E(f459(x18711,x18713,x18714,x18715),f459(x18712,x18713,x18714,x18715))
% 163.42/163.18 [1872]~E(x18721,x18722)+E(f459(x18723,x18721,x18724,x18725),f459(x18723,x18722,x18724,x18725))
% 163.42/163.18 [1873]~E(x18731,x18732)+E(f459(x18733,x18734,x18731,x18735),f459(x18733,x18734,x18732,x18735))
% 163.42/163.18 [1874]~E(x18741,x18742)+E(f459(x18743,x18744,x18745,x18741),f459(x18743,x18744,x18745,x18742))
% 163.42/163.18 [1875]~E(x18751,x18752)+E(f761(x18751,x18753,x18754),f761(x18752,x18753,x18754))
% 163.42/163.18 [1876]~E(x18761,x18762)+E(f761(x18763,x18761,x18764),f761(x18763,x18762,x18764))
% 163.42/163.18 [1877]~E(x18771,x18772)+E(f761(x18773,x18774,x18771),f761(x18773,x18774,x18772))
% 163.42/163.18 [1878]~E(x18781,x18782)+E(f135(x18781),f135(x18782))
% 163.42/163.18 [1879]~E(x18791,x18792)+E(f597(x18791,x18793,x18794),f597(x18792,x18793,x18794))
% 163.42/163.18 [1880]~E(x18801,x18802)+E(f597(x18803,x18801,x18804),f597(x18803,x18802,x18804))
% 163.42/163.18 [1881]~E(x18811,x18812)+E(f597(x18813,x18814,x18811),f597(x18813,x18814,x18812))
% 163.42/163.18 [1882]~E(x18821,x18822)+E(f460(x18821,x18823,x18824,x18825),f460(x18822,x18823,x18824,x18825))
% 163.42/163.18 [1883]~E(x18831,x18832)+E(f460(x18833,x18831,x18834,x18835),f460(x18833,x18832,x18834,x18835))
% 163.42/163.18 [1884]~E(x18841,x18842)+E(f460(x18843,x18844,x18841,x18845),f460(x18843,x18844,x18842,x18845))
% 163.42/163.18 [1885]~E(x18851,x18852)+E(f460(x18853,x18854,x18855,x18851),f460(x18853,x18854,x18855,x18852))
% 163.42/163.18 [1886]~E(x18861,x18862)+E(f416(x18861,x18863),f416(x18862,x18863))
% 163.42/163.18 [1887]~E(x18871,x18872)+E(f416(x18873,x18871),f416(x18873,x18872))
% 163.42/163.18 [1888]~E(x18881,x18882)+E(f721(x18881,x18883,x18884,x18885,x18886),f721(x18882,x18883,x18884,x18885,x18886))
% 163.42/163.18 [1889]~E(x18891,x18892)+E(f721(x18893,x18891,x18894,x18895,x18896),f721(x18893,x18892,x18894,x18895,x18896))
% 163.42/163.18 [1890]~E(x18901,x18902)+E(f721(x18903,x18904,x18901,x18905,x18906),f721(x18903,x18904,x18902,x18905,x18906))
% 163.42/163.18 [1891]~E(x18911,x18912)+E(f721(x18913,x18914,x18915,x18911,x18916),f721(x18913,x18914,x18915,x18912,x18916))
% 163.42/163.18 [1892]~E(x18921,x18922)+E(f721(x18923,x18924,x18925,x18926,x18921),f721(x18923,x18924,x18925,x18926,x18922))
% 163.42/163.18 [1893]~E(x18931,x18932)+E(f430(x18931,x18933,x18934,x18935),f430(x18932,x18933,x18934,x18935))
% 163.42/163.18 [1894]~E(x18941,x18942)+E(f430(x18943,x18941,x18944,x18945),f430(x18943,x18942,x18944,x18945))
% 163.42/163.18 [1895]~E(x18951,x18952)+E(f430(x18953,x18954,x18951,x18955),f430(x18953,x18954,x18952,x18955))
% 163.42/163.18 [1896]~E(x18961,x18962)+E(f430(x18963,x18964,x18965,x18961),f430(x18963,x18964,x18965,x18962))
% 163.42/163.18 [1897]~E(x18971,x18972)+E(f343(x18971,x18973,x18974,x18975,x18976,x18977),f343(x18972,x18973,x18974,x18975,x18976,x18977))
% 163.42/163.18 [1898]~E(x18981,x18982)+E(f343(x18983,x18981,x18984,x18985,x18986,x18987),f343(x18983,x18982,x18984,x18985,x18986,x18987))
% 163.42/163.18 [1899]~E(x18991,x18992)+E(f343(x18993,x18994,x18991,x18995,x18996,x18997),f343(x18993,x18994,x18992,x18995,x18996,x18997))
% 163.42/163.18 [1900]~E(x19001,x19002)+E(f343(x19003,x19004,x19005,x19001,x19006,x19007),f343(x19003,x19004,x19005,x19002,x19006,x19007))
% 163.42/163.18 [1901]~E(x19011,x19012)+E(f343(x19013,x19014,x19015,x19016,x19011,x19017),f343(x19013,x19014,x19015,x19016,x19012,x19017))
% 163.42/163.18 [1902]~E(x19021,x19022)+E(f343(x19023,x19024,x19025,x19026,x19027,x19021),f343(x19023,x19024,x19025,x19026,x19027,x19022))
% 163.42/163.18 [1903]~E(x19031,x19032)+E(f482(x19031),f482(x19032))
% 163.42/163.18 [1904]~E(x19041,x19042)+E(f801(x19041),f801(x19042))
% 163.42/163.18 [1905]~E(x19051,x19052)+E(f636(x19051,x19053,x19054,x19055,x19056,x19057,x19058),f636(x19052,x19053,x19054,x19055,x19056,x19057,x19058))
% 163.42/163.18 [1906]~E(x19061,x19062)+E(f636(x19063,x19061,x19064,x19065,x19066,x19067,x19068),f636(x19063,x19062,x19064,x19065,x19066,x19067,x19068))
% 163.42/163.18 [1907]~E(x19071,x19072)+E(f636(x19073,x19074,x19071,x19075,x19076,x19077,x19078),f636(x19073,x19074,x19072,x19075,x19076,x19077,x19078))
% 163.42/163.18 [1908]~E(x19081,x19082)+E(f636(x19083,x19084,x19085,x19081,x19086,x19087,x19088),f636(x19083,x19084,x19085,x19082,x19086,x19087,x19088))
% 163.42/163.18 [1909]~E(x19091,x19092)+E(f636(x19093,x19094,x19095,x19096,x19091,x19097,x19098),f636(x19093,x19094,x19095,x19096,x19092,x19097,x19098))
% 163.42/163.18 [1910]~E(x19101,x19102)+E(f636(x19103,x19104,x19105,x19106,x19107,x19101,x19108),f636(x19103,x19104,x19105,x19106,x19107,x19102,x19108))
% 163.42/163.18 [1911]~E(x19111,x19112)+E(f636(x19113,x19114,x19115,x19116,x19117,x19118,x19111),f636(x19113,x19114,x19115,x19116,x19117,x19118,x19112))
% 163.42/163.18 [1912]~E(x19121,x19122)+E(f373(x19121,x19123,x19124),f373(x19122,x19123,x19124))
% 163.42/163.18 [1913]~E(x19131,x19132)+E(f373(x19133,x19131,x19134),f373(x19133,x19132,x19134))
% 163.42/163.18 [1914]~E(x19141,x19142)+E(f373(x19143,x19144,x19141),f373(x19143,x19144,x19142))
% 163.42/163.18 [1915]~E(x19151,x19152)+E(f379(x19151,x19153,x19154),f379(x19152,x19153,x19154))
% 163.42/163.18 [1916]~E(x19161,x19162)+E(f379(x19163,x19161,x19164),f379(x19163,x19162,x19164))
% 163.42/163.18 [1917]~E(x19171,x19172)+E(f379(x19173,x19174,x19171),f379(x19173,x19174,x19172))
% 163.42/163.18 [1918]~E(x19181,x19182)+E(f712(x19181,x19183,x19184),f712(x19182,x19183,x19184))
% 163.42/163.18 [1919]~E(x19191,x19192)+E(f712(x19193,x19191,x19194),f712(x19193,x19192,x19194))
% 163.42/163.18 [1920]~E(x19201,x19202)+E(f712(x19203,x19204,x19201),f712(x19203,x19204,x19202))
% 163.42/163.18 [1921]~E(x19211,x19212)+E(f750(x19211,x19213),f750(x19212,x19213))
% 163.42/163.18 [1922]~E(x19221,x19222)+E(f750(x19223,x19221),f750(x19223,x19222))
% 163.42/163.18 [1923]~E(x19231,x19232)+E(f672(x19231,x19233),f672(x19232,x19233))
% 163.42/163.18 [1924]~E(x19241,x19242)+E(f672(x19243,x19241),f672(x19243,x19242))
% 163.42/163.18 [1925]~E(x19251,x19252)+E(f224(x19251,x19253,x19254,x19255,x19256),f224(x19252,x19253,x19254,x19255,x19256))
% 163.42/163.18 [1926]~E(x19261,x19262)+E(f224(x19263,x19261,x19264,x19265,x19266),f224(x19263,x19262,x19264,x19265,x19266))
% 163.42/163.18 [1927]~E(x19271,x19272)+E(f224(x19273,x19274,x19271,x19275,x19276),f224(x19273,x19274,x19272,x19275,x19276))
% 163.42/163.18 [1928]~E(x19281,x19282)+E(f224(x19283,x19284,x19285,x19281,x19286),f224(x19283,x19284,x19285,x19282,x19286))
% 163.42/163.18 [1929]~E(x19291,x19292)+E(f224(x19293,x19294,x19295,x19296,x19291),f224(x19293,x19294,x19295,x19296,x19292))
% 163.42/163.18 [1930]~E(x19301,x19302)+E(f786(x19301,x19303,x19304,x19305,x19306,x19307,x19308),f786(x19302,x19303,x19304,x19305,x19306,x19307,x19308))
% 163.42/163.18 [1931]~E(x19311,x19312)+E(f786(x19313,x19311,x19314,x19315,x19316,x19317,x19318),f786(x19313,x19312,x19314,x19315,x19316,x19317,x19318))
% 163.42/163.18 [1932]~E(x19321,x19322)+E(f786(x19323,x19324,x19321,x19325,x19326,x19327,x19328),f786(x19323,x19324,x19322,x19325,x19326,x19327,x19328))
% 163.42/163.18 [1933]~E(x19331,x19332)+E(f786(x19333,x19334,x19335,x19331,x19336,x19337,x19338),f786(x19333,x19334,x19335,x19332,x19336,x19337,x19338))
% 163.42/163.18 [1934]~E(x19341,x19342)+E(f786(x19343,x19344,x19345,x19346,x19341,x19347,x19348),f786(x19343,x19344,x19345,x19346,x19342,x19347,x19348))
% 163.42/163.18 [1935]~E(x19351,x19352)+E(f786(x19353,x19354,x19355,x19356,x19357,x19351,x19358),f786(x19353,x19354,x19355,x19356,x19357,x19352,x19358))
% 163.42/163.18 [1936]~E(x19361,x19362)+E(f786(x19363,x19364,x19365,x19366,x19367,x19368,x19361),f786(x19363,x19364,x19365,x19366,x19367,x19368,x19362))
% 163.42/163.18 [1937]~E(x19371,x19372)+E(f203(x19371,x19373),f203(x19372,x19373))
% 163.42/163.18 [1938]~E(x19381,x19382)+E(f203(x19383,x19381),f203(x19383,x19382))
% 163.42/163.18 [1939]~E(x19391,x19392)+E(f146(x19391,x19393),f146(x19392,x19393))
% 163.42/163.18 [1940]~E(x19401,x19402)+E(f146(x19403,x19401),f146(x19403,x19402))
% 163.42/163.18 [1941]~E(x19411,x19412)+E(f897(x19411,x19413,x19414),f897(x19412,x19413,x19414))
% 163.42/163.18 [1942]~E(x19421,x19422)+E(f897(x19423,x19421,x19424),f897(x19423,x19422,x19424))
% 163.42/163.18 [1943]~E(x19431,x19432)+E(f897(x19433,x19434,x19431),f897(x19433,x19434,x19432))
% 163.42/163.18 [1944]~E(x19441,x19442)+E(f162(x19441,x19443),f162(x19442,x19443))
% 163.42/163.18 [1945]~E(x19451,x19452)+E(f162(x19453,x19451),f162(x19453,x19452))
% 163.42/163.18 [1946]~E(x19461,x19462)+E(f877(x19461,x19463,x19464),f877(x19462,x19463,x19464))
% 163.42/163.18 [1947]~E(x19471,x19472)+E(f877(x19473,x19471,x19474),f877(x19473,x19472,x19474))
% 163.42/163.18 [1948]~E(x19481,x19482)+E(f877(x19483,x19484,x19481),f877(x19483,x19484,x19482))
% 163.42/163.18 [1949]~E(x19491,x19492)+E(f497(x19491,x19493,x19494,x19495),f497(x19492,x19493,x19494,x19495))
% 163.42/163.18 [1950]~E(x19501,x19502)+E(f497(x19503,x19501,x19504,x19505),f497(x19503,x19502,x19504,x19505))
% 163.42/163.18 [1951]~E(x19511,x19512)+E(f497(x19513,x19514,x19511,x19515),f497(x19513,x19514,x19512,x19515))
% 163.42/163.18 [1952]~E(x19521,x19522)+E(f497(x19523,x19524,x19525,x19521),f497(x19523,x19524,x19525,x19522))
% 163.42/163.18 [1953]~E(x19531,x19532)+E(f422(x19531,x19533,x19534,x19535),f422(x19532,x19533,x19534,x19535))
% 163.42/163.18 [1954]~E(x19541,x19542)+E(f422(x19543,x19541,x19544,x19545),f422(x19543,x19542,x19544,x19545))
% 163.42/163.18 [1955]~E(x19551,x19552)+E(f422(x19553,x19554,x19551,x19555),f422(x19553,x19554,x19552,x19555))
% 163.42/163.18 [1956]~E(x19561,x19562)+E(f422(x19563,x19564,x19565,x19561),f422(x19563,x19564,x19565,x19562))
% 163.42/163.18 [1957]~E(x19571,x19572)+E(f382(x19571,x19573,x19574),f382(x19572,x19573,x19574))
% 163.42/163.18 [1958]~E(x19581,x19582)+E(f382(x19583,x19581,x19584),f382(x19583,x19582,x19584))
% 163.42/163.18 [1959]~E(x19591,x19592)+E(f382(x19593,x19594,x19591),f382(x19593,x19594,x19592))
% 163.42/163.18 [1960]~E(x19601,x19602)+E(f741(x19601,x19603,x19604),f741(x19602,x19603,x19604))
% 163.42/163.18 [1961]~E(x19611,x19612)+E(f741(x19613,x19611,x19614),f741(x19613,x19612,x19614))
% 163.42/163.18 [1962]~E(x19621,x19622)+E(f741(x19623,x19624,x19621),f741(x19623,x19624,x19622))
% 163.42/163.18 [1963]~E(x19631,x19632)+E(f731(x19631,x19633),f731(x19632,x19633))
% 163.42/163.18 [1964]~E(x19641,x19642)+E(f731(x19643,x19641),f731(x19643,x19642))
% 163.42/163.18 [1965]~E(x19651,x19652)+E(f402(x19651,x19653,x19654),f402(x19652,x19653,x19654))
% 163.42/163.18 [1966]~E(x19661,x19662)+E(f402(x19663,x19661,x19664),f402(x19663,x19662,x19664))
% 163.42/163.18 [1967]~E(x19671,x19672)+E(f402(x19673,x19674,x19671),f402(x19673,x19674,x19672))
% 163.42/163.18 [1968]~E(x19681,x19682)+E(f196(x19681,x19683,x19684,x19685),f196(x19682,x19683,x19684,x19685))
% 163.42/163.18 [1969]~E(x19691,x19692)+E(f196(x19693,x19691,x19694,x19695),f196(x19693,x19692,x19694,x19695))
% 163.42/163.18 [1970]~E(x19701,x19702)+E(f196(x19703,x19704,x19701,x19705),f196(x19703,x19704,x19702,x19705))
% 163.42/163.18 [1971]~E(x19711,x19712)+E(f196(x19713,x19714,x19715,x19711),f196(x19713,x19714,x19715,x19712))
% 163.42/163.18 [1972]~E(x19721,x19722)+E(f616(x19721,x19723),f616(x19722,x19723))
% 163.42/163.18 [1973]~E(x19731,x19732)+E(f616(x19733,x19731),f616(x19733,x19732))
% 163.42/163.18 [1974]~E(x19741,x19742)+E(f683(x19741,x19743,x19744,x19745,x19746),f683(x19742,x19743,x19744,x19745,x19746))
% 163.42/163.18 [1975]~E(x19751,x19752)+E(f683(x19753,x19751,x19754,x19755,x19756),f683(x19753,x19752,x19754,x19755,x19756))
% 163.42/163.18 [1976]~E(x19761,x19762)+E(f683(x19763,x19764,x19761,x19765,x19766),f683(x19763,x19764,x19762,x19765,x19766))
% 163.42/163.18 [1977]~E(x19771,x19772)+E(f683(x19773,x19774,x19775,x19771,x19776),f683(x19773,x19774,x19775,x19772,x19776))
% 163.42/163.18 [1978]~E(x19781,x19782)+E(f683(x19783,x19784,x19785,x19786,x19781),f683(x19783,x19784,x19785,x19786,x19782))
% 163.42/163.18 [1979]~E(x19791,x19792)+E(f345(x19791,x19793,x19794,x19795),f345(x19792,x19793,x19794,x19795))
% 163.42/163.18 [1980]~E(x19801,x19802)+E(f345(x19803,x19801,x19804,x19805),f345(x19803,x19802,x19804,x19805))
% 163.42/163.18 [1981]~E(x19811,x19812)+E(f345(x19813,x19814,x19811,x19815),f345(x19813,x19814,x19812,x19815))
% 163.42/163.18 [1982]~E(x19821,x19822)+E(f345(x19823,x19824,x19825,x19821),f345(x19823,x19824,x19825,x19822))
% 163.42/163.18 [1983]~E(x19831,x19832)+E(f625(x19831,x19833,x19834,x19835,x19836),f625(x19832,x19833,x19834,x19835,x19836))
% 163.42/163.18 [1984]~E(x19841,x19842)+E(f625(x19843,x19841,x19844,x19845,x19846),f625(x19843,x19842,x19844,x19845,x19846))
% 163.42/163.18 [1985]~E(x19851,x19852)+E(f625(x19853,x19854,x19851,x19855,x19856),f625(x19853,x19854,x19852,x19855,x19856))
% 163.42/163.18 [1986]~E(x19861,x19862)+E(f625(x19863,x19864,x19865,x19861,x19866),f625(x19863,x19864,x19865,x19862,x19866))
% 163.42/163.18 [1987]~E(x19871,x19872)+E(f625(x19873,x19874,x19875,x19876,x19871),f625(x19873,x19874,x19875,x19876,x19872))
% 163.42/163.18 [1988]~E(x19881,x19882)+E(f236(x19881,x19883),f236(x19882,x19883))
% 163.42/163.18 [1989]~E(x19891,x19892)+E(f236(x19893,x19891),f236(x19893,x19892))
% 163.42/163.18 [1990]~E(x19901,x19902)+E(f746(x19901,x19903,x19904,x19905,x19906),f746(x19902,x19903,x19904,x19905,x19906))
% 163.42/163.18 [1991]~E(x19911,x19912)+E(f746(x19913,x19911,x19914,x19915,x19916),f746(x19913,x19912,x19914,x19915,x19916))
% 163.42/163.18 [1992]~E(x19921,x19922)+E(f746(x19923,x19924,x19921,x19925,x19926),f746(x19923,x19924,x19922,x19925,x19926))
% 163.42/163.18 [1993]~E(x19931,x19932)+E(f746(x19933,x19934,x19935,x19931,x19936),f746(x19933,x19934,x19935,x19932,x19936))
% 163.42/163.18 [1994]~E(x19941,x19942)+E(f746(x19943,x19944,x19945,x19946,x19941),f746(x19943,x19944,x19945,x19946,x19942))
% 163.42/163.18 [1995]~E(x19951,x19952)+E(f756(x19951,x19953,x19954),f756(x19952,x19953,x19954))
% 163.42/163.18 [1996]~E(x19961,x19962)+E(f756(x19963,x19961,x19964),f756(x19963,x19962,x19964))
% 163.42/163.18 [1997]~E(x19971,x19972)+E(f756(x19973,x19974,x19971),f756(x19973,x19974,x19972))
% 163.42/163.18 [1998]~E(x19981,x19982)+E(f406(x19981),f406(x19982))
% 163.42/163.18 [1999]~E(x19991,x19992)+E(f462(x19991,x19993,x19994,x19995),f462(x19992,x19993,x19994,x19995))
% 163.42/163.18 [2000]~E(x20001,x20002)+E(f462(x20003,x20001,x20004,x20005),f462(x20003,x20002,x20004,x20005))
% 163.42/163.18 [2001]~E(x20011,x20012)+E(f462(x20013,x20014,x20011,x20015),f462(x20013,x20014,x20012,x20015))
% 163.42/163.18 [2002]~E(x20021,x20022)+E(f462(x20023,x20024,x20025,x20021),f462(x20023,x20024,x20025,x20022))
% 163.42/163.18 [2003]~E(x20031,x20032)+E(f783(x20031),f783(x20032))
% 163.42/163.18 [2004]~E(x20041,x20042)+E(f891(x20041,x20043,x20044),f891(x20042,x20043,x20044))
% 163.42/163.18 [2005]~E(x20051,x20052)+E(f891(x20053,x20051,x20054),f891(x20053,x20052,x20054))
% 163.42/163.18 [2006]~E(x20061,x20062)+E(f891(x20063,x20064,x20061),f891(x20063,x20064,x20062))
% 163.42/163.18 [2007]~E(x20071,x20072)+E(f800(x20071,x20073,x20074,x20075,x20076),f800(x20072,x20073,x20074,x20075,x20076))
% 163.42/163.18 [2008]~E(x20081,x20082)+E(f800(x20083,x20081,x20084,x20085,x20086),f800(x20083,x20082,x20084,x20085,x20086))
% 163.42/163.18 [2009]~E(x20091,x20092)+E(f800(x20093,x20094,x20091,x20095,x20096),f800(x20093,x20094,x20092,x20095,x20096))
% 163.42/163.18 [2010]~E(x20101,x20102)+E(f800(x20103,x20104,x20105,x20101,x20106),f800(x20103,x20104,x20105,x20102,x20106))
% 163.42/163.18 [2011]~E(x20111,x20112)+E(f800(x20113,x20114,x20115,x20116,x20111),f800(x20113,x20114,x20115,x20116,x20112))
% 163.42/163.18 [2012]~E(x20121,x20122)+E(f545(x20121,x20123,x20124,x20125,x20126),f545(x20122,x20123,x20124,x20125,x20126))
% 163.42/163.18 [2013]~E(x20131,x20132)+E(f545(x20133,x20131,x20134,x20135,x20136),f545(x20133,x20132,x20134,x20135,x20136))
% 163.42/163.18 [2014]~E(x20141,x20142)+E(f545(x20143,x20144,x20141,x20145,x20146),f545(x20143,x20144,x20142,x20145,x20146))
% 163.42/163.18 [2015]~E(x20151,x20152)+E(f545(x20153,x20154,x20155,x20151,x20156),f545(x20153,x20154,x20155,x20152,x20156))
% 163.42/163.18 [2016]~E(x20161,x20162)+E(f545(x20163,x20164,x20165,x20166,x20161),f545(x20163,x20164,x20165,x20166,x20162))
% 163.42/163.18 [2017]~E(x20171,x20172)+E(f676(x20171,x20173,x20174),f676(x20172,x20173,x20174))
% 163.42/163.18 [2018]~E(x20181,x20182)+E(f676(x20183,x20181,x20184),f676(x20183,x20182,x20184))
% 163.42/163.18 [2019]~E(x20191,x20192)+E(f676(x20193,x20194,x20191),f676(x20193,x20194,x20192))
% 163.42/163.18 [2020]~E(x20201,x20202)+E(f117(x20201,x20203,x20204),f117(x20202,x20203,x20204))
% 163.42/163.18 [2021]~E(x20211,x20212)+E(f117(x20213,x20211,x20214),f117(x20213,x20212,x20214))
% 163.42/163.18 [2022]~E(x20221,x20222)+E(f117(x20223,x20224,x20221),f117(x20223,x20224,x20222))
% 163.42/163.18 [2023]~E(x20231,x20232)+E(f661(x20231,x20233,x20234,x20235),f661(x20232,x20233,x20234,x20235))
% 163.42/163.18 [2024]~E(x20241,x20242)+E(f661(x20243,x20241,x20244,x20245),f661(x20243,x20242,x20244,x20245))
% 163.42/163.18 [2025]~E(x20251,x20252)+E(f661(x20253,x20254,x20251,x20255),f661(x20253,x20254,x20252,x20255))
% 163.42/163.18 [2026]~E(x20261,x20262)+E(f661(x20263,x20264,x20265,x20261),f661(x20263,x20264,x20265,x20262))
% 163.42/163.18 [2027]~E(x20271,x20272)+E(f882(x20271,x20273,x20274),f882(x20272,x20273,x20274))
% 163.42/163.18 [2028]~E(x20281,x20282)+E(f882(x20283,x20281,x20284),f882(x20283,x20282,x20284))
% 163.42/163.18 [2029]~E(x20291,x20292)+E(f882(x20293,x20294,x20291),f882(x20293,x20294,x20292))
% 163.42/163.18 [2030]~E(x20301,x20302)+E(f912(x20301,x20303,x20304),f912(x20302,x20303,x20304))
% 163.42/163.18 [2031]~E(x20311,x20312)+E(f912(x20313,x20311,x20314),f912(x20313,x20312,x20314))
% 163.42/163.18 [2032]~E(x20321,x20322)+E(f912(x20323,x20324,x20321),f912(x20323,x20324,x20322))
% 163.42/163.18 [2033]~E(x20331,x20332)+E(f588(x20331,x20333,x20334),f588(x20332,x20333,x20334))
% 163.42/163.18 [2034]~E(x20341,x20342)+E(f588(x20343,x20341,x20344),f588(x20343,x20342,x20344))
% 163.42/163.18 [2035]~E(x20351,x20352)+E(f588(x20353,x20354,x20351),f588(x20353,x20354,x20352))
% 163.42/163.18 [2036]~E(x20361,x20362)+E(f377(x20361,x20363,x20364,x20365),f377(x20362,x20363,x20364,x20365))
% 163.42/163.18 [2037]~E(x20371,x20372)+E(f377(x20373,x20371,x20374,x20375),f377(x20373,x20372,x20374,x20375))
% 163.42/163.18 [2038]~E(x20381,x20382)+E(f377(x20383,x20384,x20381,x20385),f377(x20383,x20384,x20382,x20385))
% 163.42/163.18 [2039]~E(x20391,x20392)+E(f377(x20393,x20394,x20395,x20391),f377(x20393,x20394,x20395,x20392))
% 163.42/163.18 [2040]~E(x20401,x20402)+E(f277(x20401),f277(x20402))
% 163.42/163.18 [2041]~E(x20411,x20412)+E(f722(x20411,x20413),f722(x20412,x20413))
% 163.42/163.18 [2042]~E(x20421,x20422)+E(f722(x20423,x20421),f722(x20423,x20422))
% 163.42/163.18 [2043]~E(x20431,x20432)+E(f628(x20431,x20433,x20434,x20435),f628(x20432,x20433,x20434,x20435))
% 163.42/163.18 [2044]~E(x20441,x20442)+E(f628(x20443,x20441,x20444,x20445),f628(x20443,x20442,x20444,x20445))
% 163.42/163.18 [2045]~E(x20451,x20452)+E(f628(x20453,x20454,x20451,x20455),f628(x20453,x20454,x20452,x20455))
% 163.42/163.18 [2046]~E(x20461,x20462)+E(f628(x20463,x20464,x20465,x20461),f628(x20463,x20464,x20465,x20462))
% 163.42/163.18 [2047]~E(x20471,x20472)+E(f426(x20471,x20473,x20474,x20475,x20476),f426(x20472,x20473,x20474,x20475,x20476))
% 163.42/163.18 [2048]~E(x20481,x20482)+E(f426(x20483,x20481,x20484,x20485,x20486),f426(x20483,x20482,x20484,x20485,x20486))
% 163.42/163.18 [2049]~E(x20491,x20492)+E(f426(x20493,x20494,x20491,x20495,x20496),f426(x20493,x20494,x20492,x20495,x20496))
% 163.42/163.18 [2050]~E(x20501,x20502)+E(f426(x20503,x20504,x20505,x20501,x20506),f426(x20503,x20504,x20505,x20502,x20506))
% 163.42/163.18 [2051]~E(x20511,x20512)+E(f426(x20513,x20514,x20515,x20516,x20511),f426(x20513,x20514,x20515,x20516,x20512))
% 163.42/163.18 [2052]~E(x20521,x20522)+E(f417(x20521,x20523,x20524),f417(x20522,x20523,x20524))
% 163.42/163.18 [2053]~E(x20531,x20532)+E(f417(x20533,x20531,x20534),f417(x20533,x20532,x20534))
% 163.42/163.18 [2054]~E(x20541,x20542)+E(f417(x20543,x20544,x20541),f417(x20543,x20544,x20542))
% 163.42/163.18 [2055]~E(x20551,x20552)+E(f520(x20551,x20553,x20554,x20555),f520(x20552,x20553,x20554,x20555))
% 163.42/163.18 [2056]~E(x20561,x20562)+E(f520(x20563,x20561,x20564,x20565),f520(x20563,x20562,x20564,x20565))
% 163.42/163.18 [2057]~E(x20571,x20572)+E(f520(x20573,x20574,x20571,x20575),f520(x20573,x20574,x20572,x20575))
% 163.42/163.18 [2058]~E(x20581,x20582)+E(f520(x20583,x20584,x20585,x20581),f520(x20583,x20584,x20585,x20582))
% 163.42/163.18 [2059]~E(x20591,x20592)+E(f464(x20591,x20593,x20594),f464(x20592,x20593,x20594))
% 163.42/163.18 [2060]~E(x20601,x20602)+E(f464(x20603,x20601,x20604),f464(x20603,x20602,x20604))
% 163.42/163.18 [2061]~E(x20611,x20612)+E(f464(x20613,x20614,x20611),f464(x20613,x20614,x20612))
% 163.42/163.18 [2062]~E(x20621,x20622)+E(f130(x20621,x20623,x20624,x20625),f130(x20622,x20623,x20624,x20625))
% 163.42/163.18 [2063]~E(x20631,x20632)+E(f130(x20633,x20631,x20634,x20635),f130(x20633,x20632,x20634,x20635))
% 163.42/163.18 [2064]~E(x20641,x20642)+E(f130(x20643,x20644,x20641,x20645),f130(x20643,x20644,x20642,x20645))
% 163.42/163.18 [2065]~E(x20651,x20652)+E(f130(x20653,x20654,x20655,x20651),f130(x20653,x20654,x20655,x20652))
% 163.42/163.18 [2066]~E(x20661,x20662)+E(f94(x20661,x20663,x20664,x20665),f94(x20662,x20663,x20664,x20665))
% 163.42/163.18 [2067]~E(x20671,x20672)+E(f94(x20673,x20671,x20674,x20675),f94(x20673,x20672,x20674,x20675))
% 163.42/163.18 [2068]~E(x20681,x20682)+E(f94(x20683,x20684,x20681,x20685),f94(x20683,x20684,x20682,x20685))
% 163.42/163.18 [2069]~E(x20691,x20692)+E(f94(x20693,x20694,x20695,x20691),f94(x20693,x20694,x20695,x20692))
% 163.42/163.18 [2070]~E(x20701,x20702)+E(f442(x20701,x20703,x20704,x20705,x20706,x20707,x20708),f442(x20702,x20703,x20704,x20705,x20706,x20707,x20708))
% 163.42/163.18 [2071]~E(x20711,x20712)+E(f442(x20713,x20711,x20714,x20715,x20716,x20717,x20718),f442(x20713,x20712,x20714,x20715,x20716,x20717,x20718))
% 163.42/163.18 [2072]~E(x20721,x20722)+E(f442(x20723,x20724,x20721,x20725,x20726,x20727,x20728),f442(x20723,x20724,x20722,x20725,x20726,x20727,x20728))
% 163.42/163.18 [2073]~E(x20731,x20732)+E(f442(x20733,x20734,x20735,x20731,x20736,x20737,x20738),f442(x20733,x20734,x20735,x20732,x20736,x20737,x20738))
% 163.42/163.18 [2074]~E(x20741,x20742)+E(f442(x20743,x20744,x20745,x20746,x20741,x20747,x20748),f442(x20743,x20744,x20745,x20746,x20742,x20747,x20748))
% 163.42/163.18 [2075]~E(x20751,x20752)+E(f442(x20753,x20754,x20755,x20756,x20757,x20751,x20758),f442(x20753,x20754,x20755,x20756,x20757,x20752,x20758))
% 163.42/163.18 [2076]~E(x20761,x20762)+E(f442(x20763,x20764,x20765,x20766,x20767,x20768,x20761),f442(x20763,x20764,x20765,x20766,x20767,x20768,x20762))
% 163.42/163.18 [2077]~E(x20771,x20772)+E(f428(x20771,x20773,x20774,x20775,x20776),f428(x20772,x20773,x20774,x20775,x20776))
% 163.42/163.18 [2078]~E(x20781,x20782)+E(f428(x20783,x20781,x20784,x20785,x20786),f428(x20783,x20782,x20784,x20785,x20786))
% 163.42/163.18 [2079]~E(x20791,x20792)+E(f428(x20793,x20794,x20791,x20795,x20796),f428(x20793,x20794,x20792,x20795,x20796))
% 163.42/163.18 [2080]~E(x20801,x20802)+E(f428(x20803,x20804,x20805,x20801,x20806),f428(x20803,x20804,x20805,x20802,x20806))
% 163.42/163.18 [2081]~E(x20811,x20812)+E(f428(x20813,x20814,x20815,x20816,x20811),f428(x20813,x20814,x20815,x20816,x20812))
% 163.42/163.18 [2082]~E(x20821,x20822)+E(f73(x20821,x20823),f73(x20822,x20823))
% 163.42/163.18 [2083]~E(x20831,x20832)+E(f73(x20833,x20831),f73(x20833,x20832))
% 163.42/163.18 [2084]~E(x20841,x20842)+E(f332(x20841),f332(x20842))
% 163.42/163.18 [2085]~E(x20851,x20852)+E(f342(x20851,x20853,x20854,x20855),f342(x20852,x20853,x20854,x20855))
% 163.42/163.18 [2086]~E(x20861,x20862)+E(f342(x20863,x20861,x20864,x20865),f342(x20863,x20862,x20864,x20865))
% 163.42/163.18 [2087]~E(x20871,x20872)+E(f342(x20873,x20874,x20871,x20875),f342(x20873,x20874,x20872,x20875))
% 163.42/163.18 [2088]~E(x20881,x20882)+E(f342(x20883,x20884,x20885,x20881),f342(x20883,x20884,x20885,x20882))
% 163.42/163.18 [2089]~E(x20891,x20892)+E(f730(x20891,x20893,x20894,x20895),f730(x20892,x20893,x20894,x20895))
% 163.42/163.18 [2090]~E(x20901,x20902)+E(f730(x20903,x20901,x20904,x20905),f730(x20903,x20902,x20904,x20905))
% 163.42/163.18 [2091]~E(x20911,x20912)+E(f730(x20913,x20914,x20911,x20915),f730(x20913,x20914,x20912,x20915))
% 163.42/163.18 [2092]~E(x20921,x20922)+E(f730(x20923,x20924,x20925,x20921),f730(x20923,x20924,x20925,x20922))
% 163.42/163.18 [2093]~E(x20931,x20932)+E(f549(x20931,x20933,x20934),f549(x20932,x20933,x20934))
% 163.42/163.18 [2094]~E(x20941,x20942)+E(f549(x20943,x20941,x20944),f549(x20943,x20942,x20944))
% 163.42/163.18 [2095]~E(x20951,x20952)+E(f549(x20953,x20954,x20951),f549(x20953,x20954,x20952))
% 163.42/163.18 [2096]~E(x20961,x20962)+E(f540(x20961,x20963,x20964,x20965),f540(x20962,x20963,x20964,x20965))
% 163.42/163.18 [2097]~E(x20971,x20972)+E(f540(x20973,x20971,x20974,x20975),f540(x20973,x20972,x20974,x20975))
% 163.42/163.18 [2098]~E(x20981,x20982)+E(f540(x20983,x20984,x20981,x20985),f540(x20983,x20984,x20982,x20985))
% 163.42/163.18 [2099]~E(x20991,x20992)+E(f540(x20993,x20994,x20995,x20991),f540(x20993,x20994,x20995,x20992))
% 163.42/163.18 [2100]~E(x21001,x21002)+E(f585(x21001,x21003,x21004),f585(x21002,x21003,x21004))
% 163.42/163.18 [2101]~E(x21011,x21012)+E(f585(x21013,x21011,x21014),f585(x21013,x21012,x21014))
% 163.42/163.18 [2102]~E(x21021,x21022)+E(f585(x21023,x21024,x21021),f585(x21023,x21024,x21022))
% 163.42/163.18 [2103]~E(x21031,x21032)+E(f226(x21031,x21033,x21034,x21035,x21036),f226(x21032,x21033,x21034,x21035,x21036))
% 163.42/163.18 [2104]~E(x21041,x21042)+E(f226(x21043,x21041,x21044,x21045,x21046),f226(x21043,x21042,x21044,x21045,x21046))
% 163.42/163.18 [2105]~E(x21051,x21052)+E(f226(x21053,x21054,x21051,x21055,x21056),f226(x21053,x21054,x21052,x21055,x21056))
% 163.42/163.18 [2106]~E(x21061,x21062)+E(f226(x21063,x21064,x21065,x21061,x21066),f226(x21063,x21064,x21065,x21062,x21066))
% 163.42/163.18 [2107]~E(x21071,x21072)+E(f226(x21073,x21074,x21075,x21076,x21071),f226(x21073,x21074,x21075,x21076,x21072))
% 163.42/163.18 [2108]~E(x21081,x21082)+E(f775(x21081,x21083,x21084,x21085),f775(x21082,x21083,x21084,x21085))
% 163.42/163.18 [2109]~E(x21091,x21092)+E(f775(x21093,x21091,x21094,x21095),f775(x21093,x21092,x21094,x21095))
% 163.42/163.18 [2110]~E(x21101,x21102)+E(f775(x21103,x21104,x21101,x21105),f775(x21103,x21104,x21102,x21105))
% 163.42/163.18 [2111]~E(x21111,x21112)+E(f775(x21113,x21114,x21115,x21111),f775(x21113,x21114,x21115,x21112))
% 163.42/163.18 [2112]~E(x21121,x21122)+E(f595(x21121,x21123,x21124,x21125,x21126,x21127,x21128,x21129),f595(x21122,x21123,x21124,x21125,x21126,x21127,x21128,x21129))
% 163.42/163.18 [2113]~E(x21131,x21132)+E(f595(x21133,x21131,x21134,x21135,x21136,x21137,x21138,x21139),f595(x21133,x21132,x21134,x21135,x21136,x21137,x21138,x21139))
% 163.42/163.18 [2114]~E(x21141,x21142)+E(f595(x21143,x21144,x21141,x21145,x21146,x21147,x21148,x21149),f595(x21143,x21144,x21142,x21145,x21146,x21147,x21148,x21149))
% 163.42/163.18 [2115]~E(x21151,x21152)+E(f595(x21153,x21154,x21155,x21151,x21156,x21157,x21158,x21159),f595(x21153,x21154,x21155,x21152,x21156,x21157,x21158,x21159))
% 163.42/163.18 [2116]~E(x21161,x21162)+E(f595(x21163,x21164,x21165,x21166,x21161,x21167,x21168,x21169),f595(x21163,x21164,x21165,x21166,x21162,x21167,x21168,x21169))
% 163.42/163.18 [2117]~E(x21171,x21172)+E(f595(x21173,x21174,x21175,x21176,x21177,x21171,x21178,x21179),f595(x21173,x21174,x21175,x21176,x21177,x21172,x21178,x21179))
% 163.42/163.18 [2118]~E(x21181,x21182)+E(f595(x21183,x21184,x21185,x21186,x21187,x21188,x21181,x21189),f595(x21183,x21184,x21185,x21186,x21187,x21188,x21182,x21189))
% 163.42/163.18 [2119]~E(x21191,x21192)+E(f595(x21193,x21194,x21195,x21196,x21197,x21198,x21199,x21191),f595(x21193,x21194,x21195,x21196,x21197,x21198,x21199,x21192))
% 163.42/163.18 [2120]~E(x21201,x21202)+E(f496(x21201,x21203,x21204,x21205),f496(x21202,x21203,x21204,x21205))
% 163.42/163.18 [2121]~E(x21211,x21212)+E(f496(x21213,x21211,x21214,x21215),f496(x21213,x21212,x21214,x21215))
% 163.42/163.18 [2122]~E(x21221,x21222)+E(f496(x21223,x21224,x21221,x21225),f496(x21223,x21224,x21222,x21225))
% 163.42/163.18 [2123]~E(x21231,x21232)+E(f496(x21233,x21234,x21235,x21231),f496(x21233,x21234,x21235,x21232))
% 163.42/163.18 [2124]~E(x21241,x21242)+E(f344(x21241,x21243,x21244,x21245),f344(x21242,x21243,x21244,x21245))
% 163.42/163.18 [2125]~E(x21251,x21252)+E(f344(x21253,x21251,x21254,x21255),f344(x21253,x21252,x21254,x21255))
% 163.42/163.18 [2126]~E(x21261,x21262)+E(f344(x21263,x21264,x21261,x21265),f344(x21263,x21264,x21262,x21265))
% 163.42/163.18 [2127]~E(x21271,x21272)+E(f344(x21273,x21274,x21275,x21271),f344(x21273,x21274,x21275,x21272))
% 163.42/163.18 [2128]~E(x21281,x21282)+E(f436(x21281,x21283,x21284,x21285,x21286),f436(x21282,x21283,x21284,x21285,x21286))
% 163.42/163.18 [2129]~E(x21291,x21292)+E(f436(x21293,x21291,x21294,x21295,x21296),f436(x21293,x21292,x21294,x21295,x21296))
% 163.42/163.18 [2130]~E(x21301,x21302)+E(f436(x21303,x21304,x21301,x21305,x21306),f436(x21303,x21304,x21302,x21305,x21306))
% 163.42/163.18 [2131]~E(x21311,x21312)+E(f436(x21313,x21314,x21315,x21311,x21316),f436(x21313,x21314,x21315,x21312,x21316))
% 163.42/163.18 [2132]~E(x21321,x21322)+E(f436(x21323,x21324,x21325,x21326,x21321),f436(x21323,x21324,x21325,x21326,x21322))
% 163.42/163.18 [2133]~E(x21331,x21332)+E(f481(x21331,x21333,x21334,x21335,x21336),f481(x21332,x21333,x21334,x21335,x21336))
% 163.42/163.18 [2134]~E(x21341,x21342)+E(f481(x21343,x21341,x21344,x21345,x21346),f481(x21343,x21342,x21344,x21345,x21346))
% 163.42/163.18 [2135]~E(x21351,x21352)+E(f481(x21353,x21354,x21351,x21355,x21356),f481(x21353,x21354,x21352,x21355,x21356))
% 163.42/163.18 [2136]~E(x21361,x21362)+E(f481(x21363,x21364,x21365,x21361,x21366),f481(x21363,x21364,x21365,x21362,x21366))
% 163.42/163.18 [2137]~E(x21371,x21372)+E(f481(x21373,x21374,x21375,x21376,x21371),f481(x21373,x21374,x21375,x21376,x21372))
% 163.42/163.18 [2138]~E(x21381,x21382)+E(f881(x21381,x21383,x21384),f881(x21382,x21383,x21384))
% 163.42/163.18 [2139]~E(x21391,x21392)+E(f881(x21393,x21391,x21394),f881(x21393,x21392,x21394))
% 163.42/163.18 [2140]~E(x21401,x21402)+E(f881(x21403,x21404,x21401),f881(x21403,x21404,x21402))
% 163.42/163.18 [2141]~E(x21411,x21412)+E(f664(x21411,x21413,x21414,x21415,x21416,x21417),f664(x21412,x21413,x21414,x21415,x21416,x21417))
% 163.42/163.18 [2142]~E(x21421,x21422)+E(f664(x21423,x21421,x21424,x21425,x21426,x21427),f664(x21423,x21422,x21424,x21425,x21426,x21427))
% 163.42/163.18 [2143]~E(x21431,x21432)+E(f664(x21433,x21434,x21431,x21435,x21436,x21437),f664(x21433,x21434,x21432,x21435,x21436,x21437))
% 163.42/163.18 [2144]~E(x21441,x21442)+E(f664(x21443,x21444,x21445,x21441,x21446,x21447),f664(x21443,x21444,x21445,x21442,x21446,x21447))
% 163.42/163.18 [2145]~E(x21451,x21452)+E(f664(x21453,x21454,x21455,x21456,x21451,x21457),f664(x21453,x21454,x21455,x21456,x21452,x21457))
% 163.42/163.18 [2146]~E(x21461,x21462)+E(f664(x21463,x21464,x21465,x21466,x21467,x21461),f664(x21463,x21464,x21465,x21466,x21467,x21462))
% 163.42/163.18 [2147]~E(x21471,x21472)+E(f363(x21471),f363(x21472))
% 163.42/163.18 [2148]~E(x21481,x21482)+E(f444(x21481,x21483,x21484),f444(x21482,x21483,x21484))
% 163.42/163.18 [2149]~E(x21491,x21492)+E(f444(x21493,x21491,x21494),f444(x21493,x21492,x21494))
% 163.42/163.18 [2150]~E(x21501,x21502)+E(f444(x21503,x21504,x21501),f444(x21503,x21504,x21502))
% 163.42/163.18 [2151]~E(x21511,x21512)+E(f747(x21511,x21513,x21514,x21515,x21516),f747(x21512,x21513,x21514,x21515,x21516))
% 163.42/163.18 [2152]~E(x21521,x21522)+E(f747(x21523,x21521,x21524,x21525,x21526),f747(x21523,x21522,x21524,x21525,x21526))
% 163.42/163.18 [2153]~E(x21531,x21532)+E(f747(x21533,x21534,x21531,x21535,x21536),f747(x21533,x21534,x21532,x21535,x21536))
% 163.42/163.18 [2154]~E(x21541,x21542)+E(f747(x21543,x21544,x21545,x21541,x21546),f747(x21543,x21544,x21545,x21542,x21546))
% 163.42/163.18 [2155]~E(x21551,x21552)+E(f747(x21553,x21554,x21555,x21556,x21551),f747(x21553,x21554,x21555,x21556,x21552))
% 163.42/163.18 [2156]~E(x21561,x21562)+E(f760(x21561,x21563,x21564),f760(x21562,x21563,x21564))
% 163.42/163.18 [2157]~E(x21571,x21572)+E(f760(x21573,x21571,x21574),f760(x21573,x21572,x21574))
% 163.42/163.18 [2158]~E(x21581,x21582)+E(f760(x21583,x21584,x21581),f760(x21583,x21584,x21582))
% 163.42/163.18 [2159]~E(x21591,x21592)+E(f873(x21591,x21593,x21594,x21595,x21596),f873(x21592,x21593,x21594,x21595,x21596))
% 163.42/163.18 [2160]~E(x21601,x21602)+E(f873(x21603,x21601,x21604,x21605,x21606),f873(x21603,x21602,x21604,x21605,x21606))
% 163.42/163.18 [2161]~E(x21611,x21612)+E(f873(x21613,x21614,x21611,x21615,x21616),f873(x21613,x21614,x21612,x21615,x21616))
% 163.42/163.18 [2162]~E(x21621,x21622)+E(f873(x21623,x21624,x21625,x21621,x21626),f873(x21623,x21624,x21625,x21622,x21626))
% 163.42/163.18 [2163]~E(x21631,x21632)+E(f873(x21633,x21634,x21635,x21636,x21631),f873(x21633,x21634,x21635,x21636,x21632))
% 163.42/163.18 [2164]~E(x21641,x21642)+E(f631(x21641,x21643,x21644,x21645,x21646),f631(x21642,x21643,x21644,x21645,x21646))
% 163.42/163.18 [2165]~E(x21651,x21652)+E(f631(x21653,x21651,x21654,x21655,x21656),f631(x21653,x21652,x21654,x21655,x21656))
% 163.42/163.18 [2166]~E(x21661,x21662)+E(f631(x21663,x21664,x21661,x21665,x21666),f631(x21663,x21664,x21662,x21665,x21666))
% 163.42/163.18 [2167]~E(x21671,x21672)+E(f631(x21673,x21674,x21675,x21671,x21676),f631(x21673,x21674,x21675,x21672,x21676))
% 163.42/163.18 [2168]~E(x21681,x21682)+E(f631(x21683,x21684,x21685,x21686,x21681),f631(x21683,x21684,x21685,x21686,x21682))
% 163.42/163.18 [2169]~E(x21691,x21692)+E(f768(x21691,x21693,x21694),f768(x21692,x21693,x21694))
% 163.42/163.18 [2170]~E(x21701,x21702)+E(f768(x21703,x21701,x21704),f768(x21703,x21702,x21704))
% 163.42/163.18 [2171]~E(x21711,x21712)+E(f768(x21713,x21714,x21711),f768(x21713,x21714,x21712))
% 163.42/163.18 [2172]~E(x21721,x21722)+E(f861(x21721,x21723),f861(x21722,x21723))
% 163.42/163.18 [2173]~E(x21731,x21732)+E(f861(x21733,x21731),f861(x21733,x21732))
% 163.42/163.18 [2174]~E(x21741,x21742)+E(f503(x21741,x21743,x21744,x21745,x21746),f503(x21742,x21743,x21744,x21745,x21746))
% 163.42/163.18 [2175]~E(x21751,x21752)+E(f503(x21753,x21751,x21754,x21755,x21756),f503(x21753,x21752,x21754,x21755,x21756))
% 163.42/163.18 [2176]~E(x21761,x21762)+E(f503(x21763,x21764,x21761,x21765,x21766),f503(x21763,x21764,x21762,x21765,x21766))
% 163.42/163.18 [2177]~E(x21771,x21772)+E(f503(x21773,x21774,x21775,x21771,x21776),f503(x21773,x21774,x21775,x21772,x21776))
% 163.42/163.18 [2178]~E(x21781,x21782)+E(f503(x21783,x21784,x21785,x21786,x21781),f503(x21783,x21784,x21785,x21786,x21782))
% 163.42/163.18 [2179]~E(x21791,x21792)+E(f333(x21791),f333(x21792))
% 163.42/163.18 [2180]~E(x21801,x21802)+E(f743(x21801,x21803,x21804,x21805,x21806),f743(x21802,x21803,x21804,x21805,x21806))
% 163.42/163.18 [2181]~E(x21811,x21812)+E(f743(x21813,x21811,x21814,x21815,x21816),f743(x21813,x21812,x21814,x21815,x21816))
% 163.42/163.18 [2182]~E(x21821,x21822)+E(f743(x21823,x21824,x21821,x21825,x21826),f743(x21823,x21824,x21822,x21825,x21826))
% 163.42/163.18 [2183]~E(x21831,x21832)+E(f743(x21833,x21834,x21835,x21831,x21836),f743(x21833,x21834,x21835,x21832,x21836))
% 163.42/163.18 [2184]~E(x21841,x21842)+E(f743(x21843,x21844,x21845,x21846,x21841),f743(x21843,x21844,x21845,x21846,x21842))
% 163.42/163.18 [2185]~E(x21851,x21852)+E(f335(x21851,x21853),f335(x21852,x21853))
% 163.42/163.18 [2186]~E(x21861,x21862)+E(f335(x21863,x21861),f335(x21863,x21862))
% 163.42/163.18 [2187]~E(x21871,x21872)+E(f889(x21871,x21873,x21874,x21875),f889(x21872,x21873,x21874,x21875))
% 163.42/163.18 [2188]~E(x21881,x21882)+E(f889(x21883,x21881,x21884,x21885),f889(x21883,x21882,x21884,x21885))
% 163.42/163.18 [2189]~E(x21891,x21892)+E(f889(x21893,x21894,x21891,x21895),f889(x21893,x21894,x21892,x21895))
% 163.42/163.18 [2190]~E(x21901,x21902)+E(f889(x21903,x21904,x21905,x21901),f889(x21903,x21904,x21905,x21902))
% 163.42/163.18 [2191]~E(x21911,x21912)+E(f353(x21911,x21913,x21914),f353(x21912,x21913,x21914))
% 163.42/163.18 [2192]~E(x21921,x21922)+E(f353(x21923,x21921,x21924),f353(x21923,x21922,x21924))
% 163.42/163.18 [2193]~E(x21931,x21932)+E(f353(x21933,x21934,x21931),f353(x21933,x21934,x21932))
% 163.42/163.18 [2194]~E(x21941,x21942)+E(f655(x21941,x21943,x21944,x21945,x21946),f655(x21942,x21943,x21944,x21945,x21946))
% 163.42/163.18 [2195]~E(x21951,x21952)+E(f655(x21953,x21951,x21954,x21955,x21956),f655(x21953,x21952,x21954,x21955,x21956))
% 163.42/163.18 [2196]~E(x21961,x21962)+E(f655(x21963,x21964,x21961,x21965,x21966),f655(x21963,x21964,x21962,x21965,x21966))
% 163.42/163.18 [2197]~E(x21971,x21972)+E(f655(x21973,x21974,x21975,x21971,x21976),f655(x21973,x21974,x21975,x21972,x21976))
% 163.42/163.18 [2198]~E(x21981,x21982)+E(f655(x21983,x21984,x21985,x21986,x21981),f655(x21983,x21984,x21985,x21986,x21982))
% 163.42/163.18 [2199]~E(x21991,x21992)+E(f817(x21991,x21993),f817(x21992,x21993))
% 163.42/163.18 [2200]~E(x22001,x22002)+E(f817(x22003,x22001),f817(x22003,x22002))
% 163.42/163.18 [2201]~E(x22011,x22012)+E(f330(x22011,x22013,x22014,x22015),f330(x22012,x22013,x22014,x22015))
% 163.42/163.18 [2202]~E(x22021,x22022)+E(f330(x22023,x22021,x22024,x22025),f330(x22023,x22022,x22024,x22025))
% 163.42/163.18 [2203]~E(x22031,x22032)+E(f330(x22033,x22034,x22031,x22035),f330(x22033,x22034,x22032,x22035))
% 163.42/163.18 [2204]~E(x22041,x22042)+E(f330(x22043,x22044,x22045,x22041),f330(x22043,x22044,x22045,x22042))
% 163.42/163.18 [2205]~E(x22051,x22052)+E(f446(x22051,x22053,x22054,x22055),f446(x22052,x22053,x22054,x22055))
% 163.42/163.18 [2206]~E(x22061,x22062)+E(f446(x22063,x22061,x22064,x22065),f446(x22063,x22062,x22064,x22065))
% 163.42/163.18 [2207]~E(x22071,x22072)+E(f446(x22073,x22074,x22071,x22075),f446(x22073,x22074,x22072,x22075))
% 163.42/163.18 [2208]~E(x22081,x22082)+E(f446(x22083,x22084,x22085,x22081),f446(x22083,x22084,x22085,x22082))
% 163.42/163.18 [2209]~E(x22091,x22092)+E(f538(x22091,x22093,x22094,x22095,x22096,x22097),f538(x22092,x22093,x22094,x22095,x22096,x22097))
% 163.42/163.18 [2210]~E(x22101,x22102)+E(f538(x22103,x22101,x22104,x22105,x22106,x22107),f538(x22103,x22102,x22104,x22105,x22106,x22107))
% 163.42/163.18 [2211]~E(x22111,x22112)+E(f538(x22113,x22114,x22111,x22115,x22116,x22117),f538(x22113,x22114,x22112,x22115,x22116,x22117))
% 163.42/163.18 [2212]~E(x22121,x22122)+E(f538(x22123,x22124,x22125,x22121,x22126,x22127),f538(x22123,x22124,x22125,x22122,x22126,x22127))
% 163.42/163.18 [2213]~E(x22131,x22132)+E(f538(x22133,x22134,x22135,x22136,x22131,x22137),f538(x22133,x22134,x22135,x22136,x22132,x22137))
% 163.42/163.18 [2214]~E(x22141,x22142)+E(f538(x22143,x22144,x22145,x22146,x22147,x22141),f538(x22143,x22144,x22145,x22146,x22147,x22142))
% 163.42/163.18 [2215]~E(x22151,x22152)+E(f461(x22151,x22153,x22154,x22155),f461(x22152,x22153,x22154,x22155))
% 163.42/163.18 [2216]~E(x22161,x22162)+E(f461(x22163,x22161,x22164,x22165),f461(x22163,x22162,x22164,x22165))
% 163.42/163.18 [2217]~E(x22171,x22172)+E(f461(x22173,x22174,x22171,x22175),f461(x22173,x22174,x22172,x22175))
% 163.42/163.18 [2218]~E(x22181,x22182)+E(f461(x22183,x22184,x22185,x22181),f461(x22183,x22184,x22185,x22182))
% 163.42/163.18 [2219]~E(x22191,x22192)+E(f380(x22191,x22193,x22194),f380(x22192,x22193,x22194))
% 163.42/163.18 [2220]~E(x22201,x22202)+E(f380(x22203,x22201,x22204),f380(x22203,x22202,x22204))
% 163.42/163.18 [2221]~E(x22211,x22212)+E(f380(x22213,x22214,x22211),f380(x22213,x22214,x22212))
% 163.42/163.18 [2222]~E(x22221,x22222)+E(f485(x22221,x22223,x22224,x22225,x22226,x22227,x22228),f485(x22222,x22223,x22224,x22225,x22226,x22227,x22228))
% 163.42/163.18 [2223]~E(x22231,x22232)+E(f485(x22233,x22231,x22234,x22235,x22236,x22237,x22238),f485(x22233,x22232,x22234,x22235,x22236,x22237,x22238))
% 163.42/163.18 [2224]~E(x22241,x22242)+E(f485(x22243,x22244,x22241,x22245,x22246,x22247,x22248),f485(x22243,x22244,x22242,x22245,x22246,x22247,x22248))
% 163.42/163.18 [2225]~E(x22251,x22252)+E(f485(x22253,x22254,x22255,x22251,x22256,x22257,x22258),f485(x22253,x22254,x22255,x22252,x22256,x22257,x22258))
% 163.42/163.18 [2226]~E(x22261,x22262)+E(f485(x22263,x22264,x22265,x22266,x22261,x22267,x22268),f485(x22263,x22264,x22265,x22266,x22262,x22267,x22268))
% 163.42/163.18 [2227]~E(x22271,x22272)+E(f485(x22273,x22274,x22275,x22276,x22277,x22271,x22278),f485(x22273,x22274,x22275,x22276,x22277,x22272,x22278))
% 163.42/163.18 [2228]~E(x22281,x22282)+E(f485(x22283,x22284,x22285,x22286,x22287,x22288,x22281),f485(x22283,x22284,x22285,x22286,x22287,x22288,x22282))
% 163.42/163.18 [2229]~E(x22291,x22292)+E(f547(x22291,x22293,x22294,x22295,x22296,x22297,x22298,x22299),f547(x22292,x22293,x22294,x22295,x22296,x22297,x22298,x22299))
% 163.42/163.18 [2230]~E(x22301,x22302)+E(f547(x22303,x22301,x22304,x22305,x22306,x22307,x22308,x22309),f547(x22303,x22302,x22304,x22305,x22306,x22307,x22308,x22309))
% 163.42/163.18 [2231]~E(x22311,x22312)+E(f547(x22313,x22314,x22311,x22315,x22316,x22317,x22318,x22319),f547(x22313,x22314,x22312,x22315,x22316,x22317,x22318,x22319))
% 163.42/163.18 [2232]~E(x22321,x22322)+E(f547(x22323,x22324,x22325,x22321,x22326,x22327,x22328,x22329),f547(x22323,x22324,x22325,x22322,x22326,x22327,x22328,x22329))
% 163.42/163.18 [2233]~E(x22331,x22332)+E(f547(x22333,x22334,x22335,x22336,x22331,x22337,x22338,x22339),f547(x22333,x22334,x22335,x22336,x22332,x22337,x22338,x22339))
% 163.42/163.18 [2234]~E(x22341,x22342)+E(f547(x22343,x22344,x22345,x22346,x22347,x22341,x22348,x22349),f547(x22343,x22344,x22345,x22346,x22347,x22342,x22348,x22349))
% 163.42/163.18 [2235]~E(x22351,x22352)+E(f547(x22353,x22354,x22355,x22356,x22357,x22358,x22351,x22359),f547(x22353,x22354,x22355,x22356,x22357,x22358,x22352,x22359))
% 163.42/163.18 [2236]~E(x22361,x22362)+E(f547(x22363,x22364,x22365,x22366,x22367,x22368,x22369,x22361),f547(x22363,x22364,x22365,x22366,x22367,x22368,x22369,x22362))
% 163.42/163.18 [2237]~E(x22371,x22372)+E(f830(x22371,x22373,x22374,x22375),f830(x22372,x22373,x22374,x22375))
% 163.42/163.18 [2238]~E(x22381,x22382)+E(f830(x22383,x22381,x22384,x22385),f830(x22383,x22382,x22384,x22385))
% 163.42/163.18 [2239]~E(x22391,x22392)+E(f830(x22393,x22394,x22391,x22395),f830(x22393,x22394,x22392,x22395))
% 163.42/163.18 [2240]~E(x22401,x22402)+E(f830(x22403,x22404,x22405,x22401),f830(x22403,x22404,x22405,x22402))
% 163.42/163.18 [2241]~E(x22411,x22412)+E(f829(x22411,x22413,x22414,x22415),f829(x22412,x22413,x22414,x22415))
% 163.42/163.18 [2242]~E(x22421,x22422)+E(f829(x22423,x22421,x22424,x22425),f829(x22423,x22422,x22424,x22425))
% 163.42/163.18 [2243]~E(x22431,x22432)+E(f829(x22433,x22434,x22431,x22435),f829(x22433,x22434,x22432,x22435))
% 163.42/163.18 [2244]~E(x22441,x22442)+E(f829(x22443,x22444,x22445,x22441),f829(x22443,x22444,x22445,x22442))
% 163.42/163.18 [2245]~E(x22451,x22452)+E(f810(x22451,x22453),f810(x22452,x22453))
% 163.42/163.18 [2246]~E(x22461,x22462)+E(f810(x22463,x22461),f810(x22463,x22462))
% 163.42/163.18 [2247]~E(x22471,x22472)+E(f594(x22471,x22473,x22474,x22475,x22476,x22477),f594(x22472,x22473,x22474,x22475,x22476,x22477))
% 163.42/163.18 [2248]~E(x22481,x22482)+E(f594(x22483,x22481,x22484,x22485,x22486,x22487),f594(x22483,x22482,x22484,x22485,x22486,x22487))
% 163.42/163.18 [2249]~E(x22491,x22492)+E(f594(x22493,x22494,x22491,x22495,x22496,x22497),f594(x22493,x22494,x22492,x22495,x22496,x22497))
% 163.42/163.18 [2250]~E(x22501,x22502)+E(f594(x22503,x22504,x22505,x22501,x22506,x22507),f594(x22503,x22504,x22505,x22502,x22506,x22507))
% 163.42/163.18 [2251]~E(x22511,x22512)+E(f594(x22513,x22514,x22515,x22516,x22511,x22517),f594(x22513,x22514,x22515,x22516,x22512,x22517))
% 163.42/163.18 [2252]~E(x22521,x22522)+E(f594(x22523,x22524,x22525,x22526,x22527,x22521),f594(x22523,x22524,x22525,x22526,x22527,x22522))
% 163.42/163.18 [2253]~E(x22531,x22532)+E(f53(x22531,x22533),f53(x22532,x22533))
% 163.42/163.18 [2254]~E(x22541,x22542)+E(f53(x22543,x22541),f53(x22543,x22542))
% 163.42/163.18 [2255]~E(x22551,x22552)+E(f583(x22551,x22553),f583(x22552,x22553))
% 163.42/163.18 [2256]~E(x22561,x22562)+E(f583(x22563,x22561),f583(x22563,x22562))
% 163.42/163.18 [2257]~E(x22571,x22572)+E(f479(x22571,x22573,x22574,x22575),f479(x22572,x22573,x22574,x22575))
% 163.42/163.18 [2258]~E(x22581,x22582)+E(f479(x22583,x22581,x22584,x22585),f479(x22583,x22582,x22584,x22585))
% 163.42/163.18 [2259]~E(x22591,x22592)+E(f479(x22593,x22594,x22591,x22595),f479(x22593,x22594,x22592,x22595))
% 163.42/163.18 [2260]~E(x22601,x22602)+E(f479(x22603,x22604,x22605,x22601),f479(x22603,x22604,x22605,x22602))
% 163.42/163.18 [2261]~E(x22611,x22612)+E(f795(x22611,x22613,x22614),f795(x22612,x22613,x22614))
% 163.42/163.18 [2262]~E(x22621,x22622)+E(f795(x22623,x22621,x22624),f795(x22623,x22622,x22624))
% 163.42/163.18 [2263]~E(x22631,x22632)+E(f795(x22633,x22634,x22631),f795(x22633,x22634,x22632))
% 163.42/163.18 [2264]~E(x22641,x22642)+E(f624(x22641,x22643,x22644,x22645,x22646),f624(x22642,x22643,x22644,x22645,x22646))
% 163.42/163.18 [2265]~E(x22651,x22652)+E(f624(x22653,x22651,x22654,x22655,x22656),f624(x22653,x22652,x22654,x22655,x22656))
% 163.42/163.18 [2266]~E(x22661,x22662)+E(f624(x22663,x22664,x22661,x22665,x22666),f624(x22663,x22664,x22662,x22665,x22666))
% 163.42/163.18 [2267]~E(x22671,x22672)+E(f624(x22673,x22674,x22675,x22671,x22676),f624(x22673,x22674,x22675,x22672,x22676))
% 163.42/163.18 [2268]~E(x22681,x22682)+E(f624(x22683,x22684,x22685,x22686,x22681),f624(x22683,x22684,x22685,x22686,x22682))
% 163.42/163.18 [2269]~E(x22691,x22692)+E(f372(x22691,x22693,x22694),f372(x22692,x22693,x22694))
% 163.42/163.18 [2270]~E(x22701,x22702)+E(f372(x22703,x22701,x22704),f372(x22703,x22702,x22704))
% 163.42/163.18 [2271]~E(x22711,x22712)+E(f372(x22713,x22714,x22711),f372(x22713,x22714,x22712))
% 163.42/163.18 [2272]~E(x22721,x22722)+E(f689(x22721,x22723,x22724,x22725,x22726),f689(x22722,x22723,x22724,x22725,x22726))
% 163.42/163.18 [2273]~E(x22731,x22732)+E(f689(x22733,x22731,x22734,x22735,x22736),f689(x22733,x22732,x22734,x22735,x22736))
% 163.42/163.18 [2274]~E(x22741,x22742)+E(f689(x22743,x22744,x22741,x22745,x22746),f689(x22743,x22744,x22742,x22745,x22746))
% 163.42/163.18 [2275]~E(x22751,x22752)+E(f689(x22753,x22754,x22755,x22751,x22756),f689(x22753,x22754,x22755,x22752,x22756))
% 163.42/163.18 [2276]~E(x22761,x22762)+E(f689(x22763,x22764,x22765,x22766,x22761),f689(x22763,x22764,x22765,x22766,x22762))
% 163.42/163.18 [2277]~E(x22771,x22772)+E(f691(x22771,x22773,x22774),f691(x22772,x22773,x22774))
% 163.42/163.18 [2278]~E(x22781,x22782)+E(f691(x22783,x22781,x22784),f691(x22783,x22782,x22784))
% 163.42/163.18 [2279]~E(x22791,x22792)+E(f691(x22793,x22794,x22791),f691(x22793,x22794,x22792))
% 163.42/163.18 [2280]~E(x22801,x22802)+E(f809(x22801),f809(x22802))
% 163.42/163.18 [2281]~E(x22811,x22812)+E(f563(x22811,x22813,x22814,x22815),f563(x22812,x22813,x22814,x22815))
% 163.42/163.18 [2282]~E(x22821,x22822)+E(f563(x22823,x22821,x22824,x22825),f563(x22823,x22822,x22824,x22825))
% 163.42/163.18 [2283]~E(x22831,x22832)+E(f563(x22833,x22834,x22831,x22835),f563(x22833,x22834,x22832,x22835))
% 163.42/163.18 [2284]~E(x22841,x22842)+E(f563(x22843,x22844,x22845,x22841),f563(x22843,x22844,x22845,x22842))
% 163.42/163.18 [2285]~E(x22851,x22852)+E(f586(x22851,x22853,x22854),f586(x22852,x22853,x22854))
% 163.42/163.18 [2286]~E(x22861,x22862)+E(f586(x22863,x22861,x22864),f586(x22863,x22862,x22864))
% 163.42/163.18 [2287]~E(x22871,x22872)+E(f586(x22873,x22874,x22871),f586(x22873,x22874,x22872))
% 163.42/163.18 [2288]~E(x22881,x22882)+E(f656(x22881,x22883,x22884,x22885,x22886),f656(x22882,x22883,x22884,x22885,x22886))
% 163.42/163.18 [2289]~E(x22891,x22892)+E(f656(x22893,x22891,x22894,x22895,x22896),f656(x22893,x22892,x22894,x22895,x22896))
% 163.42/163.18 [2290]~E(x22901,x22902)+E(f656(x22903,x22904,x22901,x22905,x22906),f656(x22903,x22904,x22902,x22905,x22906))
% 163.42/163.18 [2291]~E(x22911,x22912)+E(f656(x22913,x22914,x22915,x22911,x22916),f656(x22913,x22914,x22915,x22912,x22916))
% 163.42/163.18 [2292]~E(x22921,x22922)+E(f656(x22923,x22924,x22925,x22926,x22921),f656(x22923,x22924,x22925,x22926,x22922))
% 163.42/163.18 [2293]~E(x22931,x22932)+E(f458(x22931,x22933,x22934,x22935),f458(x22932,x22933,x22934,x22935))
% 163.42/163.18 [2294]~E(x22941,x22942)+E(f458(x22943,x22941,x22944,x22945),f458(x22943,x22942,x22944,x22945))
% 163.42/163.18 [2295]~E(x22951,x22952)+E(f458(x22953,x22954,x22951,x22955),f458(x22953,x22954,x22952,x22955))
% 163.42/163.18 [2296]~E(x22961,x22962)+E(f458(x22963,x22964,x22965,x22961),f458(x22963,x22964,x22965,x22962))
% 163.42/163.18 [2297]~E(x22971,x22972)+E(f725(x22971,x22973,x22974,x22975),f725(x22972,x22973,x22974,x22975))
% 163.42/163.18 [2298]~E(x22981,x22982)+E(f725(x22983,x22981,x22984,x22985),f725(x22983,x22982,x22984,x22985))
% 163.42/163.18 [2299]~E(x22991,x22992)+E(f725(x22993,x22994,x22991,x22995),f725(x22993,x22994,x22992,x22995))
% 163.42/163.18 [2300]~E(x23001,x23002)+E(f725(x23003,x23004,x23005,x23001),f725(x23003,x23004,x23005,x23002))
% 163.42/163.18 [2301]~E(x23011,x23012)+E(f566(x23011,x23013),f566(x23012,x23013))
% 163.42/163.18 [2302]~E(x23021,x23022)+E(f566(x23023,x23021),f566(x23023,x23022))
% 163.42/163.18 [2303]~E(x23031,x23032)+E(f412(x23031,x23033),f412(x23032,x23033))
% 163.42/163.18 [2304]~E(x23041,x23042)+E(f412(x23043,x23041),f412(x23043,x23042))
% 163.42/163.18 [2305]~E(x23051,x23052)+E(f451(x23051,x23053,x23054,x23055,x23056),f451(x23052,x23053,x23054,x23055,x23056))
% 163.42/163.18 [2306]~E(x23061,x23062)+E(f451(x23063,x23061,x23064,x23065,x23066),f451(x23063,x23062,x23064,x23065,x23066))
% 163.42/163.18 [2307]~E(x23071,x23072)+E(f451(x23073,x23074,x23071,x23075,x23076),f451(x23073,x23074,x23072,x23075,x23076))
% 163.42/163.18 [2308]~E(x23081,x23082)+E(f451(x23083,x23084,x23085,x23081,x23086),f451(x23083,x23084,x23085,x23082,x23086))
% 163.42/163.18 [2309]~E(x23091,x23092)+E(f451(x23093,x23094,x23095,x23096,x23091),f451(x23093,x23094,x23095,x23096,x23092))
% 163.42/163.18 [2310]~E(x23101,x23102)+E(f427(x23101,x23103,x23104,x23105,x23106),f427(x23102,x23103,x23104,x23105,x23106))
% 163.42/163.18 [2311]~E(x23111,x23112)+E(f427(x23113,x23111,x23114,x23115,x23116),f427(x23113,x23112,x23114,x23115,x23116))
% 163.42/163.18 [2312]~E(x23121,x23122)+E(f427(x23123,x23124,x23121,x23125,x23126),f427(x23123,x23124,x23122,x23125,x23126))
% 163.42/163.18 [2313]~E(x23131,x23132)+E(f427(x23133,x23134,x23135,x23131,x23136),f427(x23133,x23134,x23135,x23132,x23136))
% 163.42/163.18 [2314]~E(x23141,x23142)+E(f427(x23143,x23144,x23145,x23146,x23141),f427(x23143,x23144,x23145,x23146,x23142))
% 163.42/163.18 [2315]~E(x23151,x23152)+E(f523(x23151,x23153,x23154),f523(x23152,x23153,x23154))
% 163.42/163.18 [2316]~E(x23161,x23162)+E(f523(x23163,x23161,x23164),f523(x23163,x23162,x23164))
% 163.42/163.18 [2317]~E(x23171,x23172)+E(f523(x23173,x23174,x23171),f523(x23173,x23174,x23172))
% 163.42/163.18 [2318]~E(x23181,x23182)+E(f407(x23181,x23183),f407(x23182,x23183))
% 163.42/163.18 [2319]~E(x23191,x23192)+E(f407(x23193,x23191),f407(x23193,x23192))
% 163.42/163.18 [2320]~E(x23201,x23202)+E(f471(x23201,x23203,x23204,x23205),f471(x23202,x23203,x23204,x23205))
% 163.42/163.18 [2321]~E(x23211,x23212)+E(f471(x23213,x23211,x23214,x23215),f471(x23213,x23212,x23214,x23215))
% 163.42/163.18 [2322]~E(x23221,x23222)+E(f471(x23223,x23224,x23221,x23225),f471(x23223,x23224,x23222,x23225))
% 163.42/163.18 [2323]~E(x23231,x23232)+E(f471(x23233,x23234,x23235,x23231),f471(x23233,x23234,x23235,x23232))
% 163.42/163.18 [2324]~E(x23241,x23242)+E(f610(x23241,x23243),f610(x23242,x23243))
% 163.42/163.18 [2325]~E(x23251,x23252)+E(f610(x23253,x23251),f610(x23253,x23252))
% 163.42/163.18 [2326]~E(x23261,x23262)+E(f666(x23261,x23263,x23264,x23265),f666(x23262,x23263,x23264,x23265))
% 163.42/163.18 [2327]~E(x23271,x23272)+E(f666(x23273,x23271,x23274,x23275),f666(x23273,x23272,x23274,x23275))
% 163.42/163.18 [2328]~E(x23281,x23282)+E(f666(x23283,x23284,x23281,x23285),f666(x23283,x23284,x23282,x23285))
% 163.42/163.18 [2329]~E(x23291,x23292)+E(f666(x23293,x23294,x23295,x23291),f666(x23293,x23294,x23295,x23292))
% 163.42/163.18 [2330]~E(x23301,x23302)+E(f797(x23301,x23303,x23304),f797(x23302,x23303,x23304))
% 163.42/163.18 [2331]~E(x23311,x23312)+E(f797(x23313,x23311,x23314),f797(x23313,x23312,x23314))
% 163.42/163.18 [2332]~E(x23321,x23322)+E(f797(x23323,x23324,x23321),f797(x23323,x23324,x23322))
% 163.42/163.18 [2333]~E(x23331,x23332)+E(f336(x23331),f336(x23332))
% 163.42/163.18 [2334]~E(x23341,x23342)+E(f518(x23341,x23343,x23344),f518(x23342,x23343,x23344))
% 163.42/163.18 [2335]~E(x23351,x23352)+E(f518(x23353,x23351,x23354),f518(x23353,x23352,x23354))
% 163.42/163.18 [2336]~E(x23361,x23362)+E(f518(x23363,x23364,x23361),f518(x23363,x23364,x23362))
% 163.42/163.18 [2337]~E(x23371,x23372)+E(f711(x23371,x23373,x23374),f711(x23372,x23373,x23374))
% 163.42/163.18 [2338]~E(x23381,x23382)+E(f711(x23383,x23381,x23384),f711(x23383,x23382,x23384))
% 163.42/163.18 [2339]~E(x23391,x23392)+E(f711(x23393,x23394,x23391),f711(x23393,x23394,x23392))
% 163.42/163.18 [2340]~E(x23401,x23402)+E(f528(x23401,x23403,x23404,x23405,x23406),f528(x23402,x23403,x23404,x23405,x23406))
% 163.42/163.18 [2341]~E(x23411,x23412)+E(f528(x23413,x23411,x23414,x23415,x23416),f528(x23413,x23412,x23414,x23415,x23416))
% 163.42/163.18 [2342]~E(x23421,x23422)+E(f528(x23423,x23424,x23421,x23425,x23426),f528(x23423,x23424,x23422,x23425,x23426))
% 163.42/163.18 [2343]~E(x23431,x23432)+E(f528(x23433,x23434,x23435,x23431,x23436),f528(x23433,x23434,x23435,x23432,x23436))
% 163.42/163.18 [2344]~E(x23441,x23442)+E(f528(x23443,x23444,x23445,x23446,x23441),f528(x23443,x23444,x23445,x23446,x23442))
% 163.42/163.18 [2345]~E(x23451,x23452)+E(f589(x23451,x23453,x23454,x23455,x23456,x23457),f589(x23452,x23453,x23454,x23455,x23456,x23457))
% 163.42/163.18 [2346]~E(x23461,x23462)+E(f589(x23463,x23461,x23464,x23465,x23466,x23467),f589(x23463,x23462,x23464,x23465,x23466,x23467))
% 163.42/163.18 [2347]~E(x23471,x23472)+E(f589(x23473,x23474,x23471,x23475,x23476,x23477),f589(x23473,x23474,x23472,x23475,x23476,x23477))
% 163.42/163.18 [2348]~E(x23481,x23482)+E(f589(x23483,x23484,x23485,x23481,x23486,x23487),f589(x23483,x23484,x23485,x23482,x23486,x23487))
% 163.42/163.18 [2349]~E(x23491,x23492)+E(f589(x23493,x23494,x23495,x23496,x23491,x23497),f589(x23493,x23494,x23495,x23496,x23492,x23497))
% 163.42/163.18 [2350]~E(x23501,x23502)+E(f589(x23503,x23504,x23505,x23506,x23507,x23501),f589(x23503,x23504,x23505,x23506,x23507,x23502))
% 163.42/163.18 [2351]~E(x23511,x23512)+E(f605(x23511,x23513,x23514,x23515),f605(x23512,x23513,x23514,x23515))
% 163.42/163.18 [2352]~E(x23521,x23522)+E(f605(x23523,x23521,x23524,x23525),f605(x23523,x23522,x23524,x23525))
% 163.42/163.18 [2353]~E(x23531,x23532)+E(f605(x23533,x23534,x23531,x23535),f605(x23533,x23534,x23532,x23535))
% 163.42/163.18 [2354]~E(x23541,x23542)+E(f605(x23543,x23544,x23545,x23541),f605(x23543,x23544,x23545,x23542))
% 163.42/163.18 [2355]~E(x23551,x23552)+E(f504(x23551,x23553,x23554,x23555),f504(x23552,x23553,x23554,x23555))
% 163.42/163.18 [2356]~E(x23561,x23562)+E(f504(x23563,x23561,x23564,x23565),f504(x23563,x23562,x23564,x23565))
% 163.42/163.18 [2357]~E(x23571,x23572)+E(f504(x23573,x23574,x23571,x23575),f504(x23573,x23574,x23572,x23575))
% 163.42/163.18 [2358]~E(x23581,x23582)+E(f504(x23583,x23584,x23585,x23581),f504(x23583,x23584,x23585,x23582))
% 163.42/163.18 [2359]~E(x23591,x23592)+E(f799(x23591,x23593,x23594,x23595),f799(x23592,x23593,x23594,x23595))
% 163.42/163.18 [2360]~E(x23601,x23602)+E(f799(x23603,x23601,x23604,x23605),f799(x23603,x23602,x23604,x23605))
% 163.42/163.18 [2361]~E(x23611,x23612)+E(f799(x23613,x23614,x23611,x23615),f799(x23613,x23614,x23612,x23615))
% 163.42/163.18 [2362]~E(x23621,x23622)+E(f799(x23623,x23624,x23625,x23621),f799(x23623,x23624,x23625,x23622))
% 163.42/163.18 [2363]~E(x23631,x23632)+E(f374(x23631,x23633,x23634),f374(x23632,x23633,x23634))
% 163.42/163.18 [2364]~E(x23641,x23642)+E(f374(x23643,x23641,x23644),f374(x23643,x23642,x23644))
% 163.42/163.18 [2365]~E(x23651,x23652)+E(f374(x23653,x23654,x23651),f374(x23653,x23654,x23652))
% 163.42/163.18 [2366]~E(x23661,x23662)+E(f557(x23661,x23663),f557(x23662,x23663))
% 163.42/163.18 [2367]~E(x23671,x23672)+E(f557(x23673,x23671),f557(x23673,x23672))
% 163.42/163.18 [2368]~E(x23681,x23682)+E(f532(x23681,x23683,x23684,x23685),f532(x23682,x23683,x23684,x23685))
% 163.42/163.18 [2369]~E(x23691,x23692)+E(f532(x23693,x23691,x23694,x23695),f532(x23693,x23692,x23694,x23695))
% 163.42/163.18 [2370]~E(x23701,x23702)+E(f532(x23703,x23704,x23701,x23705),f532(x23703,x23704,x23702,x23705))
% 163.42/163.18 [2371]~E(x23711,x23712)+E(f532(x23713,x23714,x23715,x23711),f532(x23713,x23714,x23715,x23712))
% 163.42/163.18 [2372]~E(x23721,x23722)+E(f615(x23721,x23723,x23724),f615(x23722,x23723,x23724))
% 163.42/163.18 [2373]~E(x23731,x23732)+E(f615(x23733,x23731,x23734),f615(x23733,x23732,x23734))
% 163.42/163.18 [2374]~E(x23741,x23742)+E(f615(x23743,x23744,x23741),f615(x23743,x23744,x23742))
% 163.42/163.18 [2375]~E(x23751,x23752)+E(f821(x23751,x23753,x23754),f821(x23752,x23753,x23754))
% 163.42/163.18 [2376]~E(x23761,x23762)+E(f821(x23763,x23761,x23764),f821(x23763,x23762,x23764))
% 163.42/163.18 [2377]~E(x23771,x23772)+E(f821(x23773,x23774,x23771),f821(x23773,x23774,x23772))
% 163.42/163.18 [2378]~E(x23781,x23782)+E(f707(x23781,x23783),f707(x23782,x23783))
% 163.42/163.18 [2379]~E(x23791,x23792)+E(f707(x23793,x23791),f707(x23793,x23792))
% 163.42/163.18 [2380]~E(x23801,x23802)+E(f635(x23801,x23803,x23804,x23805,x23806),f635(x23802,x23803,x23804,x23805,x23806))
% 163.42/163.18 [2381]~E(x23811,x23812)+E(f635(x23813,x23811,x23814,x23815,x23816),f635(x23813,x23812,x23814,x23815,x23816))
% 163.42/163.18 [2382]~E(x23821,x23822)+E(f635(x23823,x23824,x23821,x23825,x23826),f635(x23823,x23824,x23822,x23825,x23826))
% 163.42/163.18 [2383]~E(x23831,x23832)+E(f635(x23833,x23834,x23835,x23831,x23836),f635(x23833,x23834,x23835,x23832,x23836))
% 163.42/163.18 [2384]~E(x23841,x23842)+E(f635(x23843,x23844,x23845,x23846,x23841),f635(x23843,x23844,x23845,x23846,x23842))
% 163.42/163.18 [2385]~E(x23851,x23852)+E(f559(x23851,x23853,x23854,x23855),f559(x23852,x23853,x23854,x23855))
% 163.42/163.18 [2386]~E(x23861,x23862)+E(f559(x23863,x23861,x23864,x23865),f559(x23863,x23862,x23864,x23865))
% 163.42/163.18 [2387]~E(x23871,x23872)+E(f559(x23873,x23874,x23871,x23875),f559(x23873,x23874,x23872,x23875))
% 163.42/163.18 [2388]~E(x23881,x23882)+E(f559(x23883,x23884,x23885,x23881),f559(x23883,x23884,x23885,x23882))
% 163.42/163.18 [2389]~E(x23891,x23892)+E(f593(x23891,x23893,x23894,x23895,x23896,x23897),f593(x23892,x23893,x23894,x23895,x23896,x23897))
% 163.42/163.18 [2390]~E(x23901,x23902)+E(f593(x23903,x23901,x23904,x23905,x23906,x23907),f593(x23903,x23902,x23904,x23905,x23906,x23907))
% 163.42/163.18 [2391]~E(x23911,x23912)+E(f593(x23913,x23914,x23911,x23915,x23916,x23917),f593(x23913,x23914,x23912,x23915,x23916,x23917))
% 163.42/163.18 [2392]~E(x23921,x23922)+E(f593(x23923,x23924,x23925,x23921,x23926,x23927),f593(x23923,x23924,x23925,x23922,x23926,x23927))
% 163.42/163.18 [2393]~E(x23931,x23932)+E(f593(x23933,x23934,x23935,x23936,x23931,x23937),f593(x23933,x23934,x23935,x23936,x23932,x23937))
% 163.42/163.18 [2394]~E(x23941,x23942)+E(f593(x23943,x23944,x23945,x23946,x23947,x23941),f593(x23943,x23944,x23945,x23946,x23947,x23942))
% 163.42/163.18 [2395]~E(x23951,x23952)+E(f529(x23951,x23953,x23954,x23955,x23956),f529(x23952,x23953,x23954,x23955,x23956))
% 163.42/163.18 [2396]~E(x23961,x23962)+E(f529(x23963,x23961,x23964,x23965,x23966),f529(x23963,x23962,x23964,x23965,x23966))
% 163.42/163.18 [2397]~E(x23971,x23972)+E(f529(x23973,x23974,x23971,x23975,x23976),f529(x23973,x23974,x23972,x23975,x23976))
% 163.42/163.18 [2398]~E(x23981,x23982)+E(f529(x23983,x23984,x23985,x23981,x23986),f529(x23983,x23984,x23985,x23982,x23986))
% 163.42/163.18 [2399]~E(x23991,x23992)+E(f529(x23993,x23994,x23995,x23996,x23991),f529(x23993,x23994,x23995,x23996,x23992))
% 163.42/163.18 [2400]~E(x24001,x24002)+E(f206(x24001,x24003,x24004,x24005),f206(x24002,x24003,x24004,x24005))
% 163.42/163.18 [2401]~E(x24011,x24012)+E(f206(x24013,x24011,x24014,x24015),f206(x24013,x24012,x24014,x24015))
% 163.42/163.18 [2402]~E(x24021,x24022)+E(f206(x24023,x24024,x24021,x24025),f206(x24023,x24024,x24022,x24025))
% 163.42/163.18 [2403]~E(x24031,x24032)+E(f206(x24033,x24034,x24035,x24031),f206(x24033,x24034,x24035,x24032))
% 163.42/163.18 [2404]~E(x24041,x24042)+E(f276(x24041,x24043,x24044,x24045),f276(x24042,x24043,x24044,x24045))
% 163.42/163.18 [2405]~E(x24051,x24052)+E(f276(x24053,x24051,x24054,x24055),f276(x24053,x24052,x24054,x24055))
% 163.42/163.18 [2406]~E(x24061,x24062)+E(f276(x24063,x24064,x24061,x24065),f276(x24063,x24064,x24062,x24065))
% 163.42/163.18 [2407]~E(x24071,x24072)+E(f276(x24073,x24074,x24075,x24071),f276(x24073,x24074,x24075,x24072))
% 163.42/163.18 [2408]~E(x24081,x24082)+E(f381(x24081,x24083,x24084),f381(x24082,x24083,x24084))
% 163.42/163.18 [2409]~E(x24091,x24092)+E(f381(x24093,x24091,x24094),f381(x24093,x24092,x24094))
% 163.42/163.18 [2410]~E(x24101,x24102)+E(f381(x24103,x24104,x24101),f381(x24103,x24104,x24102))
% 163.42/163.18 [2411]~E(x24111,x24112)+E(f95(x24111,x24113,x24114,x24115),f95(x24112,x24113,x24114,x24115))
% 163.42/163.18 [2412]~E(x24121,x24122)+E(f95(x24123,x24121,x24124,x24125),f95(x24123,x24122,x24124,x24125))
% 163.42/163.18 [2413]~E(x24131,x24132)+E(f95(x24133,x24134,x24131,x24135),f95(x24133,x24134,x24132,x24135))
% 163.42/163.18 [2414]~E(x24141,x24142)+E(f95(x24143,x24144,x24145,x24141),f95(x24143,x24144,x24145,x24142))
% 163.42/163.18 [2415]~E(x24151,x24152)+E(f652(x24151,x24153),f652(x24152,x24153))
% 163.42/163.18 [2416]~E(x24161,x24162)+E(f652(x24163,x24161),f652(x24163,x24162))
% 163.42/163.18 [2417]~E(x24171,x24172)+E(f455(x24171,x24173,x24174),f455(x24172,x24173,x24174))
% 163.42/163.18 [2418]~E(x24181,x24182)+E(f455(x24183,x24181,x24184),f455(x24183,x24182,x24184))
% 163.42/163.18 [2419]~E(x24191,x24192)+E(f455(x24193,x24194,x24191),f455(x24193,x24194,x24192))
% 163.42/163.18 [2420]~E(x24201,x24202)+E(f848(x24201,x24203,x24204,x24205,x24206,x24207,x24208),f848(x24202,x24203,x24204,x24205,x24206,x24207,x24208))
% 163.42/163.18 [2421]~E(x24211,x24212)+E(f848(x24213,x24211,x24214,x24215,x24216,x24217,x24218),f848(x24213,x24212,x24214,x24215,x24216,x24217,x24218))
% 163.42/163.18 [2422]~E(x24221,x24222)+E(f848(x24223,x24224,x24221,x24225,x24226,x24227,x24228),f848(x24223,x24224,x24222,x24225,x24226,x24227,x24228))
% 163.42/163.18 [2423]~E(x24231,x24232)+E(f848(x24233,x24234,x24235,x24231,x24236,x24237,x24238),f848(x24233,x24234,x24235,x24232,x24236,x24237,x24238))
% 163.42/163.18 [2424]~E(x24241,x24242)+E(f848(x24243,x24244,x24245,x24246,x24241,x24247,x24248),f848(x24243,x24244,x24245,x24246,x24242,x24247,x24248))
% 163.42/163.18 [2425]~E(x24251,x24252)+E(f848(x24253,x24254,x24255,x24256,x24257,x24251,x24258),f848(x24253,x24254,x24255,x24256,x24257,x24252,x24258))
% 163.42/163.18 [2426]~E(x24261,x24262)+E(f848(x24263,x24264,x24265,x24266,x24267,x24268,x24261),f848(x24263,x24264,x24265,x24266,x24267,x24268,x24262))
% 163.42/163.18 [2427]~E(x24271,x24272)+E(f438(x24271,x24273),f438(x24272,x24273))
% 163.42/163.18 [2428]~E(x24281,x24282)+E(f438(x24283,x24281),f438(x24283,x24282))
% 163.42/163.18 [2429]~E(x24291,x24292)+E(f796(x24291,x24293,x24294),f796(x24292,x24293,x24294))
% 163.42/163.18 [2430]~E(x24301,x24302)+E(f796(x24303,x24301,x24304),f796(x24303,x24302,x24304))
% 163.42/163.18 [2431]~E(x24311,x24312)+E(f796(x24313,x24314,x24311),f796(x24313,x24314,x24312))
% 163.42/163.18 [2432]~E(x24321,x24322)+E(f41(x24321),f41(x24322))
% 163.42/163.18 [2433]~E(x24331,x24332)+E(f573(x24331,x24333,x24334),f573(x24332,x24333,x24334))
% 163.42/163.18 [2434]~E(x24341,x24342)+E(f573(x24343,x24341,x24344),f573(x24343,x24342,x24344))
% 163.42/163.18 [2435]~E(x24351,x24352)+E(f573(x24353,x24354,x24351),f573(x24353,x24354,x24352))
% 163.42/163.18 [2436]~E(x24361,x24362)+E(f904(x24361,x24363,x24364,x24365,x24366),f904(x24362,x24363,x24364,x24365,x24366))
% 163.42/163.18 [2437]~E(x24371,x24372)+E(f904(x24373,x24371,x24374,x24375,x24376),f904(x24373,x24372,x24374,x24375,x24376))
% 163.42/163.18 [2438]~E(x24381,x24382)+E(f904(x24383,x24384,x24381,x24385,x24386),f904(x24383,x24384,x24382,x24385,x24386))
% 163.42/163.18 [2439]~E(x24391,x24392)+E(f904(x24393,x24394,x24395,x24391,x24396),f904(x24393,x24394,x24395,x24392,x24396))
% 163.42/163.18 [2440]~E(x24401,x24402)+E(f904(x24403,x24404,x24405,x24406,x24401),f904(x24403,x24404,x24405,x24406,x24402))
% 163.42/163.18 [2441]~E(x24411,x24412)+E(f420(x24411,x24413),f420(x24412,x24413))
% 163.42/163.18 [2442]~E(x24421,x24422)+E(f420(x24423,x24421),f420(x24423,x24422))
% 163.42/163.18 [2443]~E(x24431,x24432)+E(f735(x24431,x24433),f735(x24432,x24433))
% 163.42/163.18 [2444]~E(x24441,x24442)+E(f735(x24443,x24441),f735(x24443,x24442))
% 163.42/163.18 [2445]~E(x24451,x24452)+E(f808(x24451,x24453,x24454,x24455,x24456,x24457,x24458),f808(x24452,x24453,x24454,x24455,x24456,x24457,x24458))
% 163.42/163.18 [2446]~E(x24461,x24462)+E(f808(x24463,x24461,x24464,x24465,x24466,x24467,x24468),f808(x24463,x24462,x24464,x24465,x24466,x24467,x24468))
% 163.42/163.18 [2447]~E(x24471,x24472)+E(f808(x24473,x24474,x24471,x24475,x24476,x24477,x24478),f808(x24473,x24474,x24472,x24475,x24476,x24477,x24478))
% 163.42/163.18 [2448]~E(x24481,x24482)+E(f808(x24483,x24484,x24485,x24481,x24486,x24487,x24488),f808(x24483,x24484,x24485,x24482,x24486,x24487,x24488))
% 163.42/163.18 [2449]~E(x24491,x24492)+E(f808(x24493,x24494,x24495,x24496,x24491,x24497,x24498),f808(x24493,x24494,x24495,x24496,x24492,x24497,x24498))
% 163.42/163.18 [2450]~E(x24501,x24502)+E(f808(x24503,x24504,x24505,x24506,x24507,x24501,x24508),f808(x24503,x24504,x24505,x24506,x24507,x24502,x24508))
% 163.42/163.18 [2451]~E(x24511,x24512)+E(f808(x24513,x24514,x24515,x24516,x24517,x24518,x24511),f808(x24513,x24514,x24515,x24516,x24517,x24518,x24512))
% 163.42/163.18 [2452]~E(x24521,x24522)+E(f555(x24521,x24523),f555(x24522,x24523))
% 163.42/163.18 [2453]~E(x24531,x24532)+E(f555(x24533,x24531),f555(x24533,x24532))
% 163.42/163.18 [2454]~E(x24541,x24542)+E(f491(x24541,x24543),f491(x24542,x24543))
% 163.42/163.18 [2455]~E(x24551,x24552)+E(f491(x24553,x24551),f491(x24553,x24552))
% 163.42/163.18 [2456]~E(x24561,x24562)+E(f841(x24561,x24563,x24564,x24565,x24566,x24567,x24568,x24569),f841(x24562,x24563,x24564,x24565,x24566,x24567,x24568,x24569))
% 163.42/163.18 [2457]~E(x24571,x24572)+E(f841(x24573,x24571,x24574,x24575,x24576,x24577,x24578,x24579),f841(x24573,x24572,x24574,x24575,x24576,x24577,x24578,x24579))
% 163.42/163.18 [2458]~E(x24581,x24582)+E(f841(x24583,x24584,x24581,x24585,x24586,x24587,x24588,x24589),f841(x24583,x24584,x24582,x24585,x24586,x24587,x24588,x24589))
% 163.42/163.18 [2459]~E(x24591,x24592)+E(f841(x24593,x24594,x24595,x24591,x24596,x24597,x24598,x24599),f841(x24593,x24594,x24595,x24592,x24596,x24597,x24598,x24599))
% 163.42/163.18 [2460]~E(x24601,x24602)+E(f841(x24603,x24604,x24605,x24606,x24601,x24607,x24608,x24609),f841(x24603,x24604,x24605,x24606,x24602,x24607,x24608,x24609))
% 163.42/163.18 [2461]~E(x24611,x24612)+E(f841(x24613,x24614,x24615,x24616,x24617,x24611,x24618,x24619),f841(x24613,x24614,x24615,x24616,x24617,x24612,x24618,x24619))
% 163.42/163.18 [2462]~E(x24621,x24622)+E(f841(x24623,x24624,x24625,x24626,x24627,x24628,x24621,x24629),f841(x24623,x24624,x24625,x24626,x24627,x24628,x24622,x24629))
% 163.42/163.18 [2463]~E(x24631,x24632)+E(f841(x24633,x24634,x24635,x24636,x24637,x24638,x24639,x24631),f841(x24633,x24634,x24635,x24636,x24637,x24638,x24639,x24632))
% 163.42/163.18 [2464]~E(x24641,x24642)+E(f865(x24641,x24643),f865(x24642,x24643))
% 163.42/163.18 [2465]~E(x24651,x24652)+E(f865(x24653,x24651),f865(x24653,x24652))
% 163.42/163.18 [2466]~E(x24661,x24662)+E(f794(x24661,x24663,x24664,x24665),f794(x24662,x24663,x24664,x24665))
% 163.42/163.18 [2467]~E(x24671,x24672)+E(f794(x24673,x24671,x24674,x24675),f794(x24673,x24672,x24674,x24675))
% 163.42/163.18 [2468]~E(x24681,x24682)+E(f794(x24683,x24684,x24681,x24685),f794(x24683,x24684,x24682,x24685))
% 163.42/163.18 [2469]~E(x24691,x24692)+E(f794(x24693,x24694,x24695,x24691),f794(x24693,x24694,x24695,x24692))
% 163.42/163.18 [2470]~E(x24701,x24702)+E(f339(x24701,x24703,x24704),f339(x24702,x24703,x24704))
% 163.42/163.18 [2471]~E(x24711,x24712)+E(f339(x24713,x24711,x24714),f339(x24713,x24712,x24714))
% 163.42/163.18 [2472]~E(x24721,x24722)+E(f339(x24723,x24724,x24721),f339(x24723,x24724,x24722))
% 163.42/163.18 [2473]~E(x24731,x24732)+E(f903(x24731,x24733,x24734,x24735,x24736),f903(x24732,x24733,x24734,x24735,x24736))
% 163.42/163.18 [2474]~E(x24741,x24742)+E(f903(x24743,x24741,x24744,x24745,x24746),f903(x24743,x24742,x24744,x24745,x24746))
% 163.42/163.18 [2475]~E(x24751,x24752)+E(f903(x24753,x24754,x24751,x24755,x24756),f903(x24753,x24754,x24752,x24755,x24756))
% 163.42/163.18 [2476]~E(x24761,x24762)+E(f903(x24763,x24764,x24765,x24761,x24766),f903(x24763,x24764,x24765,x24762,x24766))
% 163.42/163.18 [2477]~E(x24771,x24772)+E(f903(x24773,x24774,x24775,x24776,x24771),f903(x24773,x24774,x24775,x24776,x24772))
% 163.42/163.18 [2478]~E(x24781,x24782)+E(f456(x24781,x24783,x24784),f456(x24782,x24783,x24784))
% 163.42/163.18 [2479]~E(x24791,x24792)+E(f456(x24793,x24791,x24794),f456(x24793,x24792,x24794))
% 163.42/163.18 [2480]~E(x24801,x24802)+E(f456(x24803,x24804,x24801),f456(x24803,x24804,x24802))
% 163.42/163.18 [2481]~E(x24811,x24812)+E(f646(x24811,x24813,x24814,x24815,x24816,x24817),f646(x24812,x24813,x24814,x24815,x24816,x24817))
% 163.42/163.18 [2482]~E(x24821,x24822)+E(f646(x24823,x24821,x24824,x24825,x24826,x24827),f646(x24823,x24822,x24824,x24825,x24826,x24827))
% 163.42/163.18 [2483]~E(x24831,x24832)+E(f646(x24833,x24834,x24831,x24835,x24836,x24837),f646(x24833,x24834,x24832,x24835,x24836,x24837))
% 163.42/163.18 [2484]~E(x24841,x24842)+E(f646(x24843,x24844,x24845,x24841,x24846,x24847),f646(x24843,x24844,x24845,x24842,x24846,x24847))
% 163.42/163.18 [2485]~E(x24851,x24852)+E(f646(x24853,x24854,x24855,x24856,x24851,x24857),f646(x24853,x24854,x24855,x24856,x24852,x24857))
% 163.42/163.18 [2486]~E(x24861,x24862)+E(f646(x24863,x24864,x24865,x24866,x24867,x24861),f646(x24863,x24864,x24865,x24866,x24867,x24862))
% 163.42/163.18 [2487]~E(x24871,x24872)+E(f567(x24871,x24873),f567(x24872,x24873))
% 163.42/163.18 [2488]~E(x24881,x24882)+E(f567(x24883,x24881),f567(x24883,x24882))
% 163.42/163.18 [2489]~E(x24891,x24892)+E(f395(x24891,x24893),f395(x24892,x24893))
% 163.42/163.18 [2490]~E(x24901,x24902)+E(f395(x24903,x24901),f395(x24903,x24902))
% 163.42/163.18 [2491]~E(x24911,x24912)+E(f418(x24911,x24913,x24914,x24915,x24916),f418(x24912,x24913,x24914,x24915,x24916))
% 163.42/163.18 [2492]~E(x24921,x24922)+E(f418(x24923,x24921,x24924,x24925,x24926),f418(x24923,x24922,x24924,x24925,x24926))
% 163.42/163.18 [2493]~E(x24931,x24932)+E(f418(x24933,x24934,x24931,x24935,x24936),f418(x24933,x24934,x24932,x24935,x24936))
% 163.42/163.18 [2494]~E(x24941,x24942)+E(f418(x24943,x24944,x24945,x24941,x24946),f418(x24943,x24944,x24945,x24942,x24946))
% 163.42/163.18 [2495]~E(x24951,x24952)+E(f418(x24953,x24954,x24955,x24956,x24951),f418(x24953,x24954,x24955,x24956,x24952))
% 163.42/163.18 [2496]~E(x24961,x24962)+E(f581(x24961,x24963),f581(x24962,x24963))
% 163.42/163.18 [2497]~E(x24971,x24972)+E(f581(x24973,x24971),f581(x24973,x24972))
% 163.42/163.18 [2498]~E(x24981,x24982)+E(f684(x24981,x24983,x24984,x24985,x24986),f684(x24982,x24983,x24984,x24985,x24986))
% 163.42/163.18 [2499]~E(x24991,x24992)+E(f684(x24993,x24991,x24994,x24995,x24996),f684(x24993,x24992,x24994,x24995,x24996))
% 163.42/163.18 [2500]~E(x25001,x25002)+E(f684(x25003,x25004,x25001,x25005,x25006),f684(x25003,x25004,x25002,x25005,x25006))
% 163.42/163.18 [2501]~E(x25011,x25012)+E(f684(x25013,x25014,x25015,x25011,x25016),f684(x25013,x25014,x25015,x25012,x25016))
% 163.42/163.18 [2502]~E(x25021,x25022)+E(f684(x25023,x25024,x25025,x25026,x25021),f684(x25023,x25024,x25025,x25026,x25022))
% 163.42/163.18 [2503]~E(x25031,x25032)+E(f909(x25031,x25033,x25034,x25035,x25036),f909(x25032,x25033,x25034,x25035,x25036))
% 163.42/163.18 [2504]~E(x25041,x25042)+E(f909(x25043,x25041,x25044,x25045,x25046),f909(x25043,x25042,x25044,x25045,x25046))
% 163.42/163.18 [2505]~E(x25051,x25052)+E(f909(x25053,x25054,x25051,x25055,x25056),f909(x25053,x25054,x25052,x25055,x25056))
% 163.42/163.18 [2506]~E(x25061,x25062)+E(f909(x25063,x25064,x25065,x25061,x25066),f909(x25063,x25064,x25065,x25062,x25066))
% 163.42/163.18 [2507]~E(x25071,x25072)+E(f909(x25073,x25074,x25075,x25076,x25071),f909(x25073,x25074,x25075,x25076,x25072))
% 163.42/163.18 [2508]~E(x25081,x25082)+E(f905(x25081,x25083,x25084,x25085,x25086,x25087,x25088),f905(x25082,x25083,x25084,x25085,x25086,x25087,x25088))
% 163.42/163.18 [2509]~E(x25091,x25092)+E(f905(x25093,x25091,x25094,x25095,x25096,x25097,x25098),f905(x25093,x25092,x25094,x25095,x25096,x25097,x25098))
% 163.42/163.18 [2510]~E(x25101,x25102)+E(f905(x25103,x25104,x25101,x25105,x25106,x25107,x25108),f905(x25103,x25104,x25102,x25105,x25106,x25107,x25108))
% 163.42/163.18 [2511]~E(x25111,x25112)+E(f905(x25113,x25114,x25115,x25111,x25116,x25117,x25118),f905(x25113,x25114,x25115,x25112,x25116,x25117,x25118))
% 163.42/163.18 [2512]~E(x25121,x25122)+E(f905(x25123,x25124,x25125,x25126,x25121,x25127,x25128),f905(x25123,x25124,x25125,x25126,x25122,x25127,x25128))
% 163.42/163.18 [2513]~E(x25131,x25132)+E(f905(x25133,x25134,x25135,x25136,x25137,x25131,x25138),f905(x25133,x25134,x25135,x25136,x25137,x25132,x25138))
% 163.42/163.18 [2514]~E(x25141,x25142)+E(f905(x25143,x25144,x25145,x25146,x25147,x25148,x25141),f905(x25143,x25144,x25145,x25146,x25147,x25148,x25142))
% 163.42/163.18 [2515]~E(x25151,x25152)+E(f454(x25151,x25153,x25154,x25155,x25156),f454(x25152,x25153,x25154,x25155,x25156))
% 163.42/163.18 [2516]~E(x25161,x25162)+E(f454(x25163,x25161,x25164,x25165,x25166),f454(x25163,x25162,x25164,x25165,x25166))
% 163.42/163.18 [2517]~E(x25171,x25172)+E(f454(x25173,x25174,x25171,x25175,x25176),f454(x25173,x25174,x25172,x25175,x25176))
% 163.42/163.18 [2518]~E(x25181,x25182)+E(f454(x25183,x25184,x25185,x25181,x25186),f454(x25183,x25184,x25185,x25182,x25186))
% 163.42/163.18 [2519]~E(x25191,x25192)+E(f454(x25193,x25194,x25195,x25196,x25191),f454(x25193,x25194,x25195,x25196,x25192))
% 163.42/163.18 [2520]~E(x25201,x25202)+E(f653(x25201,x25203,x25204,x25205,x25206),f653(x25202,x25203,x25204,x25205,x25206))
% 163.42/163.18 [2521]~E(x25211,x25212)+E(f653(x25213,x25211,x25214,x25215,x25216),f653(x25213,x25212,x25214,x25215,x25216))
% 163.42/163.18 [2522]~E(x25221,x25222)+E(f653(x25223,x25224,x25221,x25225,x25226),f653(x25223,x25224,x25222,x25225,x25226))
% 163.42/163.18 [2523]~E(x25231,x25232)+E(f653(x25233,x25234,x25235,x25231,x25236),f653(x25233,x25234,x25235,x25232,x25236))
% 163.42/163.18 [2524]~E(x25241,x25242)+E(f653(x25243,x25244,x25245,x25246,x25241),f653(x25243,x25244,x25245,x25246,x25242))
% 163.42/163.18 [2525]~E(x25251,x25252)+E(f612(x25251,x25253,x25254),f612(x25252,x25253,x25254))
% 163.42/163.18 [2526]~E(x25261,x25262)+E(f612(x25263,x25261,x25264),f612(x25263,x25262,x25264))
% 163.42/163.18 [2527]~E(x25271,x25272)+E(f612(x25273,x25274,x25271),f612(x25273,x25274,x25272))
% 163.42/163.18 [2528]~E(x25281,x25282)+E(f209(x25281),f209(x25282))
% 163.42/163.18 [2529]~E(x25291,x25292)+E(f576(x25291,x25293,x25294,x25295),f576(x25292,x25293,x25294,x25295))
% 163.42/163.18 [2530]~E(x25301,x25302)+E(f576(x25303,x25301,x25304,x25305),f576(x25303,x25302,x25304,x25305))
% 163.42/163.18 [2531]~E(x25311,x25312)+E(f576(x25313,x25314,x25311,x25315),f576(x25313,x25314,x25312,x25315))
% 163.42/163.18 [2532]~E(x25321,x25322)+E(f576(x25323,x25324,x25325,x25321),f576(x25323,x25324,x25325,x25322))
% 163.42/163.18 [2533]~E(x25331,x25332)+E(f448(x25331,x25333,x25334,x25335),f448(x25332,x25333,x25334,x25335))
% 163.42/163.18 [2534]~E(x25341,x25342)+E(f448(x25343,x25341,x25344,x25345),f448(x25343,x25342,x25344,x25345))
% 163.42/163.18 [2535]~E(x25351,x25352)+E(f448(x25353,x25354,x25351,x25355),f448(x25353,x25354,x25352,x25355))
% 163.42/163.18 [2536]~E(x25361,x25362)+E(f448(x25363,x25364,x25365,x25361),f448(x25363,x25364,x25365,x25362))
% 163.42/163.18 [2537]~E(x25371,x25372)+E(f43(x25371),f43(x25372))
% 163.42/163.18 [2538]~E(x25381,x25382)+E(f486(x25381,x25383,x25384,x25385,x25386,x25387,x25388),f486(x25382,x25383,x25384,x25385,x25386,x25387,x25388))
% 163.42/163.18 [2539]~E(x25391,x25392)+E(f486(x25393,x25391,x25394,x25395,x25396,x25397,x25398),f486(x25393,x25392,x25394,x25395,x25396,x25397,x25398))
% 163.42/163.18 [2540]~E(x25401,x25402)+E(f486(x25403,x25404,x25401,x25405,x25406,x25407,x25408),f486(x25403,x25404,x25402,x25405,x25406,x25407,x25408))
% 163.42/163.18 [2541]~E(x25411,x25412)+E(f486(x25413,x25414,x25415,x25411,x25416,x25417,x25418),f486(x25413,x25414,x25415,x25412,x25416,x25417,x25418))
% 163.42/163.18 [2542]~E(x25421,x25422)+E(f486(x25423,x25424,x25425,x25426,x25421,x25427,x25428),f486(x25423,x25424,x25425,x25426,x25422,x25427,x25428))
% 163.42/163.18 [2543]~E(x25431,x25432)+E(f486(x25433,x25434,x25435,x25436,x25437,x25431,x25438),f486(x25433,x25434,x25435,x25436,x25437,x25432,x25438))
% 163.42/163.18 [2544]~E(x25441,x25442)+E(f486(x25443,x25444,x25445,x25446,x25447,x25448,x25441),f486(x25443,x25444,x25445,x25446,x25447,x25448,x25442))
% 163.42/163.18 [2545]~E(x25451,x25452)+E(f519(x25451,x25453,x25454),f519(x25452,x25453,x25454))
% 163.42/163.18 [2546]~E(x25461,x25462)+E(f519(x25463,x25461,x25464),f519(x25463,x25462,x25464))
% 163.42/163.18 [2547]~E(x25471,x25472)+E(f519(x25473,x25474,x25471),f519(x25473,x25474,x25472))
% 163.42/163.18 [2548]~E(x25481,x25482)+E(f854(x25481,x25483,x25484),f854(x25482,x25483,x25484))
% 163.42/163.18 [2549]~E(x25491,x25492)+E(f854(x25493,x25491,x25494),f854(x25493,x25492,x25494))
% 163.42/163.18 [2550]~E(x25501,x25502)+E(f854(x25503,x25504,x25501),f854(x25503,x25504,x25502))
% 163.42/163.18 [2551]~E(x25511,x25512)+E(f398(x25511,x25513,x25514),f398(x25512,x25513,x25514))
% 163.42/163.18 [2552]~E(x25521,x25522)+E(f398(x25523,x25521,x25524),f398(x25523,x25522,x25524))
% 163.42/163.18 [2553]~E(x25531,x25532)+E(f398(x25533,x25534,x25531),f398(x25533,x25534,x25532))
% 163.42/163.18 [2554]~E(x25541,x25542)+E(f669(x25541,x25543,x25544,x25545),f669(x25542,x25543,x25544,x25545))
% 163.42/163.18 [2555]~E(x25551,x25552)+E(f669(x25553,x25551,x25554,x25555),f669(x25553,x25552,x25554,x25555))
% 163.42/163.18 [2556]~E(x25561,x25562)+E(f669(x25563,x25564,x25561,x25565),f669(x25563,x25564,x25562,x25565))
% 163.42/163.18 [2557]~E(x25571,x25572)+E(f669(x25573,x25574,x25575,x25571),f669(x25573,x25574,x25575,x25572))
% 163.42/163.18 [2558]~E(x25581,x25582)+E(f798(x25581,x25583,x25584,x25585),f798(x25582,x25583,x25584,x25585))
% 163.42/163.18 [2559]~E(x25591,x25592)+E(f798(x25593,x25591,x25594,x25595),f798(x25593,x25592,x25594,x25595))
% 163.42/163.18 [2560]~E(x25601,x25602)+E(f798(x25603,x25604,x25601,x25605),f798(x25603,x25604,x25602,x25605))
% 163.42/163.18 [2561]~E(x25611,x25612)+E(f798(x25613,x25614,x25615,x25611),f798(x25613,x25614,x25615,x25612))
% 163.42/163.18 [2562]~E(x25621,x25622)+E(f787(x25621,x25623,x25624,x25625,x25626,x25627,x25628),f787(x25622,x25623,x25624,x25625,x25626,x25627,x25628))
% 163.42/163.18 [2563]~E(x25631,x25632)+E(f787(x25633,x25631,x25634,x25635,x25636,x25637,x25638),f787(x25633,x25632,x25634,x25635,x25636,x25637,x25638))
% 163.42/163.18 [2564]~E(x25641,x25642)+E(f787(x25643,x25644,x25641,x25645,x25646,x25647,x25648),f787(x25643,x25644,x25642,x25645,x25646,x25647,x25648))
% 163.42/163.18 [2565]~E(x25651,x25652)+E(f787(x25653,x25654,x25655,x25651,x25656,x25657,x25658),f787(x25653,x25654,x25655,x25652,x25656,x25657,x25658))
% 163.42/163.18 [2566]~E(x25661,x25662)+E(f787(x25663,x25664,x25665,x25666,x25661,x25667,x25668),f787(x25663,x25664,x25665,x25666,x25662,x25667,x25668))
% 163.42/163.18 [2567]~E(x25671,x25672)+E(f787(x25673,x25674,x25675,x25676,x25677,x25671,x25678),f787(x25673,x25674,x25675,x25676,x25677,x25672,x25678))
% 163.42/163.18 [2568]~E(x25681,x25682)+E(f787(x25683,x25684,x25685,x25686,x25687,x25688,x25681),f787(x25683,x25684,x25685,x25686,x25687,x25688,x25682))
% 163.42/163.18 [2569]~E(x25691,x25692)+E(f763(x25691,x25693,x25694),f763(x25692,x25693,x25694))
% 163.42/163.18 [2570]~E(x25701,x25702)+E(f763(x25703,x25701,x25704),f763(x25703,x25702,x25704))
% 163.42/163.18 [2571]~E(x25711,x25712)+E(f763(x25713,x25714,x25711),f763(x25713,x25714,x25712))
% 163.42/163.18 [2572]~E(x25721,x25722)+E(f450(x25721,x25723,x25724,x25725),f450(x25722,x25723,x25724,x25725))
% 163.42/163.18 [2573]~E(x25731,x25732)+E(f450(x25733,x25731,x25734,x25735),f450(x25733,x25732,x25734,x25735))
% 163.42/163.18 [2574]~E(x25741,x25742)+E(f450(x25743,x25744,x25741,x25745),f450(x25743,x25744,x25742,x25745))
% 163.42/163.18 [2575]~E(x25751,x25752)+E(f450(x25753,x25754,x25755,x25751),f450(x25753,x25754,x25755,x25752))
% 163.42/163.18 [2576]~E(x25761,x25762)+E(f697(x25761,x25763,x25764),f697(x25762,x25763,x25764))
% 163.42/163.18 [2577]~E(x25771,x25772)+E(f697(x25773,x25771,x25774),f697(x25773,x25772,x25774))
% 163.42/163.18 [2578]~E(x25781,x25782)+E(f697(x25783,x25784,x25781),f697(x25783,x25784,x25782))
% 163.42/163.18 [2579]~E(x25791,x25792)+E(f651(x25791,x25793,x25794),f651(x25792,x25793,x25794))
% 163.42/163.18 [2580]~E(x25801,x25802)+E(f651(x25803,x25801,x25804),f651(x25803,x25802,x25804))
% 163.42/163.18 [2581]~E(x25811,x25812)+E(f651(x25813,x25814,x25811),f651(x25813,x25814,x25812))
% 163.42/163.18 [2582]~E(x25821,x25822)+E(f548(x25821,x25823),f548(x25822,x25823))
% 163.42/163.18 [2583]~E(x25831,x25832)+E(f548(x25833,x25831),f548(x25833,x25832))
% 163.42/163.18 [2584]~E(x25841,x25842)+E(f667(x25841,x25843),f667(x25842,x25843))
% 163.42/163.18 [2585]~E(x25851,x25852)+E(f667(x25853,x25851),f667(x25853,x25852))
% 163.42/163.18 [2586]~E(x25861,x25862)+E(f685(x25861,x25863,x25864,x25865),f685(x25862,x25863,x25864,x25865))
% 163.42/163.18 [2587]~E(x25871,x25872)+E(f685(x25873,x25871,x25874,x25875),f685(x25873,x25872,x25874,x25875))
% 163.42/163.18 [2588]~E(x25881,x25882)+E(f685(x25883,x25884,x25881,x25885),f685(x25883,x25884,x25882,x25885))
% 163.42/163.18 [2589]~E(x25891,x25892)+E(f685(x25893,x25894,x25895,x25891),f685(x25893,x25894,x25895,x25892))
% 163.42/163.18 [2590]~E(x25901,x25902)+E(f493(x25901,x25903,x25904),f493(x25902,x25903,x25904))
% 163.42/163.18 [2591]~E(x25911,x25912)+E(f493(x25913,x25911,x25914),f493(x25913,x25912,x25914))
% 163.42/163.18 [2592]~E(x25921,x25922)+E(f493(x25923,x25924,x25921),f493(x25923,x25924,x25922))
% 163.42/163.18 [2593]~E(x25931,x25932)+E(f900(x25931,x25933,x25934),f900(x25932,x25933,x25934))
% 163.42/163.18 [2594]~E(x25941,x25942)+E(f900(x25943,x25941,x25944),f900(x25943,x25942,x25944))
% 163.42/163.18 [2595]~E(x25951,x25952)+E(f900(x25953,x25954,x25951),f900(x25953,x25954,x25952))
% 163.42/163.18 [2596]~E(x25961,x25962)+E(f554(x25961,x25963),f554(x25962,x25963))
% 163.42/163.18 [2597]~E(x25971,x25972)+E(f554(x25973,x25971),f554(x25973,x25972))
% 163.42/163.18 [2598]~E(x25981,x25982)+E(f852(x25981,x25983,x25984,x25985,x25986,x25987),f852(x25982,x25983,x25984,x25985,x25986,x25987))
% 163.42/163.18 [2599]~E(x25991,x25992)+E(f852(x25993,x25991,x25994,x25995,x25996,x25997),f852(x25993,x25992,x25994,x25995,x25996,x25997))
% 163.42/163.18 [2600]~E(x26001,x26002)+E(f852(x26003,x26004,x26001,x26005,x26006,x26007),f852(x26003,x26004,x26002,x26005,x26006,x26007))
% 163.42/163.18 [2601]~E(x26011,x26012)+E(f852(x26013,x26014,x26015,x26011,x26016,x26017),f852(x26013,x26014,x26015,x26012,x26016,x26017))
% 163.42/163.18 [2602]~E(x26021,x26022)+E(f852(x26023,x26024,x26025,x26026,x26021,x26027),f852(x26023,x26024,x26025,x26026,x26022,x26027))
% 163.42/163.18 [2603]~E(x26031,x26032)+E(f852(x26033,x26034,x26035,x26036,x26037,x26031),f852(x26033,x26034,x26035,x26036,x26037,x26032))
% 163.42/163.18 [2604]~E(x26041,x26042)+E(f470(x26041,x26043,x26044,x26045),f470(x26042,x26043,x26044,x26045))
% 163.42/163.18 [2605]~E(x26051,x26052)+E(f470(x26053,x26051,x26054,x26055),f470(x26053,x26052,x26054,x26055))
% 163.42/163.18 [2606]~E(x26061,x26062)+E(f470(x26063,x26064,x26061,x26065),f470(x26063,x26064,x26062,x26065))
% 163.42/163.18 [2607]~E(x26071,x26072)+E(f470(x26073,x26074,x26075,x26071),f470(x26073,x26074,x26075,x26072))
% 163.42/163.18 [2608]~E(x26081,x26082)+E(f530(x26081,x26083,x26084,x26085,x26086),f530(x26082,x26083,x26084,x26085,x26086))
% 163.42/163.18 [2609]~E(x26091,x26092)+E(f530(x26093,x26091,x26094,x26095,x26096),f530(x26093,x26092,x26094,x26095,x26096))
% 163.42/163.18 [2610]~E(x26101,x26102)+E(f530(x26103,x26104,x26101,x26105,x26106),f530(x26103,x26104,x26102,x26105,x26106))
% 163.42/163.18 [2611]~E(x26111,x26112)+E(f530(x26113,x26114,x26115,x26111,x26116),f530(x26113,x26114,x26115,x26112,x26116))
% 163.42/163.18 [2612]~E(x26121,x26122)+E(f530(x26123,x26124,x26125,x26126,x26121),f530(x26123,x26124,x26125,x26126,x26122))
% 163.42/163.18 [2613]~E(x26131,x26132)+E(f847(x26131,x26133,x26134,x26135,x26136,x26137,x26138,x26139),f847(x26132,x26133,x26134,x26135,x26136,x26137,x26138,x26139))
% 163.42/163.18 [2614]~E(x26141,x26142)+E(f847(x26143,x26141,x26144,x26145,x26146,x26147,x26148,x26149),f847(x26143,x26142,x26144,x26145,x26146,x26147,x26148,x26149))
% 163.42/163.18 [2615]~E(x26151,x26152)+E(f847(x26153,x26154,x26151,x26155,x26156,x26157,x26158,x26159),f847(x26153,x26154,x26152,x26155,x26156,x26157,x26158,x26159))
% 163.42/163.18 [2616]~E(x26161,x26162)+E(f847(x26163,x26164,x26165,x26161,x26166,x26167,x26168,x26169),f847(x26163,x26164,x26165,x26162,x26166,x26167,x26168,x26169))
% 163.42/163.18 [2617]~E(x26171,x26172)+E(f847(x26173,x26174,x26175,x26176,x26171,x26177,x26178,x26179),f847(x26173,x26174,x26175,x26176,x26172,x26177,x26178,x26179))
% 163.42/163.18 [2618]~E(x26181,x26182)+E(f847(x26183,x26184,x26185,x26186,x26187,x26181,x26188,x26189),f847(x26183,x26184,x26185,x26186,x26187,x26182,x26188,x26189))
% 163.42/163.18 [2619]~E(x26191,x26192)+E(f847(x26193,x26194,x26195,x26196,x26197,x26198,x26191,x26199),f847(x26193,x26194,x26195,x26196,x26197,x26198,x26192,x26199))
% 163.42/163.18 [2620]~E(x26201,x26202)+E(f847(x26203,x26204,x26205,x26206,x26207,x26208,x26209,x26201),f847(x26203,x26204,x26205,x26206,x26207,x26208,x26209,x26202))
% 163.42/163.18 [2621]~E(x26211,x26212)+E(f687(x26211,x26213,x26214,x26215),f687(x26212,x26213,x26214,x26215))
% 163.42/163.18 [2622]~E(x26221,x26222)+E(f687(x26223,x26221,x26224,x26225),f687(x26223,x26222,x26224,x26225))
% 163.42/163.18 [2623]~E(x26231,x26232)+E(f687(x26233,x26234,x26231,x26235),f687(x26233,x26234,x26232,x26235))
% 163.42/163.18 [2624]~E(x26241,x26242)+E(f687(x26243,x26244,x26245,x26241),f687(x26243,x26244,x26245,x26242))
% 163.42/163.18 [2625]~E(x26251,x26252)+E(f826(x26251,x26253,x26254,x26255,x26256,x26257),f826(x26252,x26253,x26254,x26255,x26256,x26257))
% 163.42/163.18 [2626]~E(x26261,x26262)+E(f826(x26263,x26261,x26264,x26265,x26266,x26267),f826(x26263,x26262,x26264,x26265,x26266,x26267))
% 163.42/163.18 [2627]~E(x26271,x26272)+E(f826(x26273,x26274,x26271,x26275,x26276,x26277),f826(x26273,x26274,x26272,x26275,x26276,x26277))
% 163.42/163.18 [2628]~E(x26281,x26282)+E(f826(x26283,x26284,x26285,x26281,x26286,x26287),f826(x26283,x26284,x26285,x26282,x26286,x26287))
% 163.42/163.18 [2629]~E(x26291,x26292)+E(f826(x26293,x26294,x26295,x26296,x26291,x26297),f826(x26293,x26294,x26295,x26296,x26292,x26297))
% 163.42/163.18 [2630]~E(x26301,x26302)+E(f826(x26303,x26304,x26305,x26306,x26307,x26301),f826(x26303,x26304,x26305,x26306,x26307,x26302))
% 163.42/163.18 [2631]~E(x26311,x26312)+E(f823(x26311,x26313),f823(x26312,x26313))
% 163.42/163.18 [2632]~E(x26321,x26322)+E(f823(x26323,x26321),f823(x26323,x26322))
% 163.42/163.18 [2633]~E(x26331,x26332)+E(f785(x26331,x26333),f785(x26332,x26333))
% 163.42/163.18 [2634]~E(x26341,x26342)+E(f785(x26343,x26341),f785(x26343,x26342))
% 163.42/163.18 [2635]~E(x26351,x26352)+E(f483(x26351,x26353),f483(x26352,x26353))
% 163.42/163.18 [2636]~E(x26361,x26362)+E(f483(x26363,x26361),f483(x26363,x26362))
% 163.42/163.18 [2637]~E(x26371,x26372)+E(f419(x26371,x26373,x26374,x26375,x26376,x26377),f419(x26372,x26373,x26374,x26375,x26376,x26377))
% 163.42/163.18 [2638]~E(x26381,x26382)+E(f419(x26383,x26381,x26384,x26385,x26386,x26387),f419(x26383,x26382,x26384,x26385,x26386,x26387))
% 163.42/163.18 [2639]~E(x26391,x26392)+E(f419(x26393,x26394,x26391,x26395,x26396,x26397),f419(x26393,x26394,x26392,x26395,x26396,x26397))
% 163.42/163.18 [2640]~E(x26401,x26402)+E(f419(x26403,x26404,x26405,x26401,x26406,x26407),f419(x26403,x26404,x26405,x26402,x26406,x26407))
% 163.42/163.18 [2641]~E(x26411,x26412)+E(f419(x26413,x26414,x26415,x26416,x26411,x26417),f419(x26413,x26414,x26415,x26416,x26412,x26417))
% 163.42/163.18 [2642]~E(x26421,x26422)+E(f419(x26423,x26424,x26425,x26426,x26427,x26421),f419(x26423,x26424,x26425,x26426,x26427,x26422))
% 163.42/163.18 [2643]~E(x26431,x26432)+E(f856(x26431,x26433,x26434),f856(x26432,x26433,x26434))
% 163.42/163.18 [2644]~E(x26441,x26442)+E(f856(x26443,x26441,x26444),f856(x26443,x26442,x26444))
% 163.42/163.18 [2645]~E(x26451,x26452)+E(f856(x26453,x26454,x26451),f856(x26453,x26454,x26452))
% 163.42/163.18 [2646]~E(x26461,x26462)+E(f298(x26461,x26463,x26464,x26465),f298(x26462,x26463,x26464,x26465))
% 163.42/163.18 [2647]~E(x26471,x26472)+E(f298(x26473,x26471,x26474,x26475),f298(x26473,x26472,x26474,x26475))
% 163.42/163.18 [2648]~E(x26481,x26482)+E(f298(x26483,x26484,x26481,x26485),f298(x26483,x26484,x26482,x26485))
% 163.42/163.18 [2649]~E(x26491,x26492)+E(f298(x26493,x26494,x26495,x26491),f298(x26493,x26494,x26495,x26492))
% 163.42/163.18 [2650]~E(x26501,x26502)+E(f705(x26501,x26503,x26504),f705(x26502,x26503,x26504))
% 163.42/163.18 [2651]~E(x26511,x26512)+E(f705(x26513,x26511,x26514),f705(x26513,x26512,x26514))
% 163.42/163.18 [2652]~E(x26521,x26522)+E(f705(x26523,x26524,x26521),f705(x26523,x26524,x26522))
% 163.42/163.18 [2653]~E(x26531,x26532)+E(f842(x26531,x26533,x26534,x26535,x26536,x26537,x26538,x26539),f842(x26532,x26533,x26534,x26535,x26536,x26537,x26538,x26539))
% 163.42/163.18 [2654]~E(x26541,x26542)+E(f842(x26543,x26541,x26544,x26545,x26546,x26547,x26548,x26549),f842(x26543,x26542,x26544,x26545,x26546,x26547,x26548,x26549))
% 163.42/163.18 [2655]~E(x26551,x26552)+E(f842(x26553,x26554,x26551,x26555,x26556,x26557,x26558,x26559),f842(x26553,x26554,x26552,x26555,x26556,x26557,x26558,x26559))
% 163.42/163.18 [2656]~E(x26561,x26562)+E(f842(x26563,x26564,x26565,x26561,x26566,x26567,x26568,x26569),f842(x26563,x26564,x26565,x26562,x26566,x26567,x26568,x26569))
% 163.42/163.18 [2657]~E(x26571,x26572)+E(f842(x26573,x26574,x26575,x26576,x26571,x26577,x26578,x26579),f842(x26573,x26574,x26575,x26576,x26572,x26577,x26578,x26579))
% 163.42/163.18 [2658]~E(x26581,x26582)+E(f842(x26583,x26584,x26585,x26586,x26587,x26581,x26588,x26589),f842(x26583,x26584,x26585,x26586,x26587,x26582,x26588,x26589))
% 163.42/163.18 [2659]~E(x26591,x26592)+E(f842(x26593,x26594,x26595,x26596,x26597,x26598,x26591,x26599),f842(x26593,x26594,x26595,x26596,x26597,x26598,x26592,x26599))
% 163.42/163.18 [2660]~E(x26601,x26602)+E(f842(x26603,x26604,x26605,x26606,x26607,x26608,x26609,x26601),f842(x26603,x26604,x26605,x26606,x26607,x26608,x26609,x26602))
% 163.42/163.18 [2661]~E(x26611,x26612)+E(f534(x26611,x26613,x26614,x26615,x26616),f534(x26612,x26613,x26614,x26615,x26616))
% 163.42/163.18 [2662]~E(x26621,x26622)+E(f534(x26623,x26621,x26624,x26625,x26626),f534(x26623,x26622,x26624,x26625,x26626))
% 163.42/163.18 [2663]~E(x26631,x26632)+E(f534(x26633,x26634,x26631,x26635,x26636),f534(x26633,x26634,x26632,x26635,x26636))
% 163.42/163.18 [2664]~E(x26641,x26642)+E(f534(x26643,x26644,x26645,x26641,x26646),f534(x26643,x26644,x26645,x26642,x26646))
% 163.42/163.18 [2665]~E(x26651,x26652)+E(f534(x26653,x26654,x26655,x26656,x26651),f534(x26653,x26654,x26655,x26656,x26652))
% 163.42/163.18 [2666]~E(x26661,x26662)+E(f260(x26661,x26663,x26664,x26665,x26666),f260(x26662,x26663,x26664,x26665,x26666))
% 163.42/163.18 [2667]~E(x26671,x26672)+E(f260(x26673,x26671,x26674,x26675,x26676),f260(x26673,x26672,x26674,x26675,x26676))
% 163.42/163.18 [2668]~E(x26681,x26682)+E(f260(x26683,x26684,x26681,x26685,x26686),f260(x26683,x26684,x26682,x26685,x26686))
% 163.42/163.18 [2669]~E(x26691,x26692)+E(f260(x26693,x26694,x26695,x26691,x26696),f260(x26693,x26694,x26695,x26692,x26696))
% 163.42/163.18 [2670]~E(x26701,x26702)+E(f260(x26703,x26704,x26705,x26706,x26701),f260(x26703,x26704,x26705,x26706,x26702))
% 163.42/163.18 [2671]~E(x26711,x26712)+E(f607(x26711,x26713,x26714,x26715,x26716),f607(x26712,x26713,x26714,x26715,x26716))
% 163.42/163.18 [2672]~E(x26721,x26722)+E(f607(x26723,x26721,x26724,x26725,x26726),f607(x26723,x26722,x26724,x26725,x26726))
% 163.42/163.18 [2673]~E(x26731,x26732)+E(f607(x26733,x26734,x26731,x26735,x26736),f607(x26733,x26734,x26732,x26735,x26736))
% 163.42/163.18 [2674]~E(x26741,x26742)+E(f607(x26743,x26744,x26745,x26741,x26746),f607(x26743,x26744,x26745,x26742,x26746))
% 163.42/163.18 [2675]~E(x26751,x26752)+E(f607(x26753,x26754,x26755,x26756,x26751),f607(x26753,x26754,x26755,x26756,x26752))
% 163.42/163.18 [2676]~E(x26761,x26762)+E(f606(x26761,x26763,x26764,x26765),f606(x26762,x26763,x26764,x26765))
% 163.42/163.18 [2677]~E(x26771,x26772)+E(f606(x26773,x26771,x26774,x26775),f606(x26773,x26772,x26774,x26775))
% 163.42/163.18 [2678]~E(x26781,x26782)+E(f606(x26783,x26784,x26781,x26785),f606(x26783,x26784,x26782,x26785))
% 163.42/163.18 [2679]~E(x26791,x26792)+E(f606(x26793,x26794,x26795,x26791),f606(x26793,x26794,x26795,x26792))
% 163.42/163.18 [2680]~E(x26801,x26802)+E(f770(x26801,x26803,x26804,x26805),f770(x26802,x26803,x26804,x26805))
% 163.42/163.18 [2681]~E(x26811,x26812)+E(f770(x26813,x26811,x26814,x26815),f770(x26813,x26812,x26814,x26815))
% 163.42/163.18 [2682]~E(x26821,x26822)+E(f770(x26823,x26824,x26821,x26825),f770(x26823,x26824,x26822,x26825))
% 163.42/163.18 [2683]~E(x26831,x26832)+E(f770(x26833,x26834,x26835,x26831),f770(x26833,x26834,x26835,x26832))
% 163.42/163.18 [2684]~E(x26841,x26842)+E(f227(x26841,x26843,x26844,x26845,x26846),f227(x26842,x26843,x26844,x26845,x26846))
% 163.42/163.18 [2685]~E(x26851,x26852)+E(f227(x26853,x26851,x26854,x26855,x26856),f227(x26853,x26852,x26854,x26855,x26856))
% 163.42/163.18 [2686]~E(x26861,x26862)+E(f227(x26863,x26864,x26861,x26865,x26866),f227(x26863,x26864,x26862,x26865,x26866))
% 163.42/163.18 [2687]~E(x26871,x26872)+E(f227(x26873,x26874,x26875,x26871,x26876),f227(x26873,x26874,x26875,x26872,x26876))
% 163.42/163.18 [2688]~E(x26881,x26882)+E(f227(x26883,x26884,x26885,x26886,x26881),f227(x26883,x26884,x26885,x26886,x26882))
% 163.42/163.18 [2689]~E(x26891,x26892)+E(f410(x26891,x26893),f410(x26892,x26893))
% 163.42/163.18 [2690]~E(x26901,x26902)+E(f410(x26903,x26901),f410(x26903,x26902))
% 163.42/163.18 [2691]~E(x26911,x26912)+E(f229(x26911,x26913,x26914),f229(x26912,x26913,x26914))
% 163.42/163.18 [2692]~E(x26921,x26922)+E(f229(x26923,x26921,x26924),f229(x26923,x26922,x26924))
% 163.42/163.18 [2693]~E(x26931,x26932)+E(f229(x26933,x26934,x26931),f229(x26933,x26934,x26932))
% 163.42/163.18 [2694]~E(x26941,x26942)+E(f762(x26941,x26943,x26944),f762(x26942,x26943,x26944))
% 163.42/163.18 [2695]~E(x26951,x26952)+E(f762(x26953,x26951,x26954),f762(x26953,x26952,x26954))
% 163.42/163.18 [2696]~E(x26961,x26962)+E(f762(x26963,x26964,x26961),f762(x26963,x26964,x26962))
% 163.42/163.18 [2697]~E(x26971,x26972)+E(f668(x26971,x26973),f668(x26972,x26973))
% 163.42/163.18 [2698]~E(x26981,x26982)+E(f668(x26983,x26981),f668(x26983,x26982))
% 163.42/163.18 [2699]~E(x26991,x26992)+E(f634(x26991,x26993,x26994,x26995,x26996),f634(x26992,x26993,x26994,x26995,x26996))
% 163.42/163.18 [2700]~E(x27001,x27002)+E(f634(x27003,x27001,x27004,x27005,x27006),f634(x27003,x27002,x27004,x27005,x27006))
% 163.42/163.18 [2701]~E(x27011,x27012)+E(f634(x27013,x27014,x27011,x27015,x27016),f634(x27013,x27014,x27012,x27015,x27016))
% 163.42/163.18 [2702]~E(x27021,x27022)+E(f634(x27023,x27024,x27025,x27021,x27026),f634(x27023,x27024,x27025,x27022,x27026))
% 163.42/163.18 [2703]~E(x27031,x27032)+E(f634(x27033,x27034,x27035,x27036,x27031),f634(x27033,x27034,x27035,x27036,x27032))
% 163.42/163.18 [2704]~E(x27041,x27042)+E(f582(x27041,x27043),f582(x27042,x27043))
% 163.42/163.18 [2705]~E(x27051,x27052)+E(f582(x27053,x27051),f582(x27053,x27052))
% 163.42/163.18 [2706]~E(x27061,x27062)+E(f879(x27061,x27063,x27064,x27065,x27066,x27067,x27068),f879(x27062,x27063,x27064,x27065,x27066,x27067,x27068))
% 163.42/163.18 [2707]~E(x27071,x27072)+E(f879(x27073,x27071,x27074,x27075,x27076,x27077,x27078),f879(x27073,x27072,x27074,x27075,x27076,x27077,x27078))
% 163.42/163.18 [2708]~E(x27081,x27082)+E(f879(x27083,x27084,x27081,x27085,x27086,x27087,x27088),f879(x27083,x27084,x27082,x27085,x27086,x27087,x27088))
% 163.42/163.18 [2709]~E(x27091,x27092)+E(f879(x27093,x27094,x27095,x27091,x27096,x27097,x27098),f879(x27093,x27094,x27095,x27092,x27096,x27097,x27098))
% 163.42/163.18 [2710]~E(x27101,x27102)+E(f879(x27103,x27104,x27105,x27106,x27101,x27107,x27108),f879(x27103,x27104,x27105,x27106,x27102,x27107,x27108))
% 163.42/163.18 [2711]~E(x27111,x27112)+E(f879(x27113,x27114,x27115,x27116,x27117,x27111,x27118),f879(x27113,x27114,x27115,x27116,x27117,x27112,x27118))
% 163.42/163.18 [2712]~E(x27121,x27122)+E(f879(x27123,x27124,x27125,x27126,x27127,x27128,x27121),f879(x27123,x27124,x27125,x27126,x27127,x27128,x27122))
% 163.42/163.18 [2713]~E(x27131,x27132)+E(f123(x27131),f123(x27132))
% 163.42/163.18 [2714]~E(x27141,x27142)+E(f859(x27141),f859(x27142))
% 163.42/163.18 [2715]~E(x27151,x27152)+E(f901(x27151,x27153,x27154,x27155,x27156),f901(x27152,x27153,x27154,x27155,x27156))
% 163.42/163.18 [2716]~E(x27161,x27162)+E(f901(x27163,x27161,x27164,x27165,x27166),f901(x27163,x27162,x27164,x27165,x27166))
% 163.42/163.18 [2717]~E(x27171,x27172)+E(f901(x27173,x27174,x27171,x27175,x27176),f901(x27173,x27174,x27172,x27175,x27176))
% 163.42/163.18 [2718]~E(x27181,x27182)+E(f901(x27183,x27184,x27185,x27181,x27186),f901(x27183,x27184,x27185,x27182,x27186))
% 163.42/163.18 [2719]~E(x27191,x27192)+E(f901(x27193,x27194,x27195,x27196,x27191),f901(x27193,x27194,x27195,x27196,x27192))
% 163.42/163.18 [2720]~E(x27201,x27202)+E(f245(x27201,x27203,x27204,x27205,x27206,x27207),f245(x27202,x27203,x27204,x27205,x27206,x27207))
% 163.42/163.18 [2721]~E(x27211,x27212)+E(f245(x27213,x27211,x27214,x27215,x27216,x27217),f245(x27213,x27212,x27214,x27215,x27216,x27217))
% 163.42/163.18 [2722]~E(x27221,x27222)+E(f245(x27223,x27224,x27221,x27225,x27226,x27227),f245(x27223,x27224,x27222,x27225,x27226,x27227))
% 163.42/163.18 [2723]~E(x27231,x27232)+E(f245(x27233,x27234,x27235,x27231,x27236,x27237),f245(x27233,x27234,x27235,x27232,x27236,x27237))
% 163.42/163.18 [2724]~E(x27241,x27242)+E(f245(x27243,x27244,x27245,x27246,x27241,x27247),f245(x27243,x27244,x27245,x27246,x27242,x27247))
% 163.42/163.18 [2725]~E(x27251,x27252)+E(f245(x27253,x27254,x27255,x27256,x27257,x27251),f245(x27253,x27254,x27255,x27256,x27257,x27252))
% 163.42/163.18 [2726]~E(x27261,x27262)+E(f876(x27261,x27263),f876(x27262,x27263))
% 163.42/163.18 [2727]~E(x27271,x27272)+E(f876(x27273,x27271),f876(x27273,x27272))
% 163.42/163.18 [2728]~E(x27281,x27282)+E(f537(x27281,x27283,x27284,x27285),f537(x27282,x27283,x27284,x27285))
% 163.42/163.18 [2729]~E(x27291,x27292)+E(f537(x27293,x27291,x27294,x27295),f537(x27293,x27292,x27294,x27295))
% 163.42/163.18 [2730]~E(x27301,x27302)+E(f537(x27303,x27304,x27301,x27305),f537(x27303,x27304,x27302,x27305))
% 163.42/163.18 [2731]~E(x27311,x27312)+E(f537(x27313,x27314,x27315,x27311),f537(x27313,x27314,x27315,x27312))
% 163.42/163.18 [2732]~E(x27321,x27322)+E(f338(x27321),f338(x27322))
% 163.42/163.18 [2733]~E(x27331,x27332)+E(f629(x27331,x27333,x27334,x27335,x27336),f629(x27332,x27333,x27334,x27335,x27336))
% 163.42/163.18 [2734]~E(x27341,x27342)+E(f629(x27343,x27341,x27344,x27345,x27346),f629(x27343,x27342,x27344,x27345,x27346))
% 163.42/163.18 [2735]~E(x27351,x27352)+E(f629(x27353,x27354,x27351,x27355,x27356),f629(x27353,x27354,x27352,x27355,x27356))
% 163.42/163.18 [2736]~E(x27361,x27362)+E(f629(x27363,x27364,x27365,x27361,x27366),f629(x27363,x27364,x27365,x27362,x27366))
% 163.42/163.18 [2737]~E(x27371,x27372)+E(f629(x27373,x27374,x27375,x27376,x27371),f629(x27373,x27374,x27375,x27376,x27372))
% 163.42/163.18 [2738]~E(x27381,x27382)+E(f688(x27381,x27383,x27384,x27385),f688(x27382,x27383,x27384,x27385))
% 163.42/163.18 [2739]~E(x27391,x27392)+E(f688(x27393,x27391,x27394,x27395),f688(x27393,x27392,x27394,x27395))
% 163.42/163.18 [2740]~E(x27401,x27402)+E(f688(x27403,x27404,x27401,x27405),f688(x27403,x27404,x27402,x27405))
% 163.42/163.18 [2741]~E(x27411,x27412)+E(f688(x27413,x27414,x27415,x27411),f688(x27413,x27414,x27415,x27412))
% 163.42/163.18 [2742]~E(x27421,x27422)+E(f907(x27421,x27423),f907(x27422,x27423))
% 163.42/163.18 [2743]~E(x27431,x27432)+E(f907(x27433,x27431),f907(x27433,x27432))
% 163.42/163.18 [2744]~E(x27441,x27442)+E(f352(x27441,x27443),f352(x27442,x27443))
% 163.42/163.18 [2745]~E(x27451,x27452)+E(f352(x27453,x27451),f352(x27453,x27452))
% 163.42/163.18 [2746]~E(x27461,x27462)+E(f270(x27461,x27463,x27464,x27465),f270(x27462,x27463,x27464,x27465))
% 163.42/163.18 [2747]~E(x27471,x27472)+E(f270(x27473,x27471,x27474,x27475),f270(x27473,x27472,x27474,x27475))
% 163.42/163.18 [2748]~E(x27481,x27482)+E(f270(x27483,x27484,x27481,x27485),f270(x27483,x27484,x27482,x27485))
% 163.42/163.18 [2749]~E(x27491,x27492)+E(f270(x27493,x27494,x27495,x27491),f270(x27493,x27494,x27495,x27492))
% 163.42/163.18 [2750]~E(x27501,x27502)+E(f204(x27501,x27503,x27504),f204(x27502,x27503,x27504))
% 163.42/163.18 [2751]~E(x27511,x27512)+E(f204(x27513,x27511,x27514),f204(x27513,x27512,x27514))
% 163.42/163.18 [2752]~E(x27521,x27522)+E(f204(x27523,x27524,x27521),f204(x27523,x27524,x27522))
% 163.42/163.18 [2753]~E(x27531,x27532)+E(f556(x27531,x27533),f556(x27532,x27533))
% 163.42/163.18 [2754]~E(x27541,x27542)+E(f556(x27543,x27541),f556(x27543,x27542))
% 163.42/163.18 [2755]~E(x27551,x27552)+E(f608(x27551,x27553,x27554),f608(x27552,x27553,x27554))
% 163.42/163.18 [2756]~E(x27561,x27562)+E(f608(x27563,x27561,x27564),f608(x27563,x27562,x27564))
% 163.42/163.18 [2757]~E(x27571,x27572)+E(f608(x27573,x27574,x27571),f608(x27573,x27574,x27572))
% 163.42/163.18 [2758]~E(x27581,x27582)+E(f543(x27581,x27583,x27584,x27585,x27586,x27587),f543(x27582,x27583,x27584,x27585,x27586,x27587))
% 163.42/163.18 [2759]~E(x27591,x27592)+E(f543(x27593,x27591,x27594,x27595,x27596,x27597),f543(x27593,x27592,x27594,x27595,x27596,x27597))
% 163.42/163.18 [2760]~E(x27601,x27602)+E(f543(x27603,x27604,x27601,x27605,x27606,x27607),f543(x27603,x27604,x27602,x27605,x27606,x27607))
% 163.42/163.18 [2761]~E(x27611,x27612)+E(f543(x27613,x27614,x27615,x27611,x27616,x27617),f543(x27613,x27614,x27615,x27612,x27616,x27617))
% 163.42/163.18 [2762]~E(x27621,x27622)+E(f543(x27623,x27624,x27625,x27626,x27621,x27627),f543(x27623,x27624,x27625,x27626,x27622,x27627))
% 163.42/163.18 [2763]~E(x27631,x27632)+E(f543(x27633,x27634,x27635,x27636,x27637,x27631),f543(x27633,x27634,x27635,x27636,x27637,x27632))
% 163.42/163.18 [2764]~E(x27641,x27642)+E(f690(x27641,x27643,x27644),f690(x27642,x27643,x27644))
% 163.42/163.18 [2765]~E(x27651,x27652)+E(f690(x27653,x27651,x27654),f690(x27653,x27652,x27654))
% 163.42/163.18 [2766]~E(x27661,x27662)+E(f690(x27663,x27664,x27661),f690(x27663,x27664,x27662))
% 163.42/163.18 [2767]~E(x27671,x27672)+E(f686(x27671,x27673,x27674,x27675),f686(x27672,x27673,x27674,x27675))
% 163.42/163.18 [2768]~E(x27681,x27682)+E(f686(x27683,x27681,x27684,x27685),f686(x27683,x27682,x27684,x27685))
% 163.42/163.18 [2769]~E(x27691,x27692)+E(f686(x27693,x27694,x27691,x27695),f686(x27693,x27694,x27692,x27695))
% 163.42/163.18 [2770]~E(x27701,x27702)+E(f686(x27703,x27704,x27705,x27701),f686(x27703,x27704,x27705,x27702))
% 163.42/163.18 [2771]~E(x27711,x27712)+E(f738(x27711,x27713),f738(x27712,x27713))
% 163.42/163.18 [2772]~E(x27721,x27722)+E(f738(x27723,x27721),f738(x27723,x27722))
% 163.42/163.18 [2773]~E(x27731,x27732)+E(f637(x27731,x27733,x27734,x27735),f637(x27732,x27733,x27734,x27735))
% 163.42/163.18 [2774]~E(x27741,x27742)+E(f637(x27743,x27741,x27744,x27745),f637(x27743,x27742,x27744,x27745))
% 163.42/163.18 [2775]~E(x27751,x27752)+E(f637(x27753,x27754,x27751,x27755),f637(x27753,x27754,x27752,x27755))
% 163.42/163.18 [2776]~E(x27761,x27762)+E(f637(x27763,x27764,x27765,x27761),f637(x27763,x27764,x27765,x27762))
% 163.42/163.18 [2777]~E(x27771,x27772)+E(f910(x27771,x27773,x27774,x27775,x27776),f910(x27772,x27773,x27774,x27775,x27776))
% 163.42/163.18 [2778]~E(x27781,x27782)+E(f910(x27783,x27781,x27784,x27785,x27786),f910(x27783,x27782,x27784,x27785,x27786))
% 163.42/163.18 [2779]~E(x27791,x27792)+E(f910(x27793,x27794,x27791,x27795,x27796),f910(x27793,x27794,x27792,x27795,x27796))
% 163.42/163.18 [2780]~E(x27801,x27802)+E(f910(x27803,x27804,x27805,x27801,x27806),f910(x27803,x27804,x27805,x27802,x27806))
% 163.42/163.18 [2781]~E(x27811,x27812)+E(f910(x27813,x27814,x27815,x27816,x27811),f910(x27813,x27814,x27815,x27816,x27812))
% 163.42/163.18 [2782]~E(x27821,x27822)+E(f552(x27821,x27823,x27824,x27825,x27826,x27827),f552(x27822,x27823,x27824,x27825,x27826,x27827))
% 163.42/163.18 [2783]~E(x27831,x27832)+E(f552(x27833,x27831,x27834,x27835,x27836,x27837),f552(x27833,x27832,x27834,x27835,x27836,x27837))
% 163.42/163.18 [2784]~E(x27841,x27842)+E(f552(x27843,x27844,x27841,x27845,x27846,x27847),f552(x27843,x27844,x27842,x27845,x27846,x27847))
% 163.42/163.18 [2785]~E(x27851,x27852)+E(f552(x27853,x27854,x27855,x27851,x27856,x27857),f552(x27853,x27854,x27855,x27852,x27856,x27857))
% 163.42/163.18 [2786]~E(x27861,x27862)+E(f552(x27863,x27864,x27865,x27866,x27861,x27867),f552(x27863,x27864,x27865,x27866,x27862,x27867))
% 163.42/163.18 [2787]~E(x27871,x27872)+E(f552(x27873,x27874,x27875,x27876,x27877,x27871),f552(x27873,x27874,x27875,x27876,x27877,x27872))
% 163.42/163.18 [2788]~E(x27881,x27882)+E(f837(x27881,x27883,x27884),f837(x27882,x27883,x27884))
% 163.42/163.18 [2789]~E(x27891,x27892)+E(f837(x27893,x27891,x27894),f837(x27893,x27892,x27894))
% 163.42/163.18 [2790]~E(x27901,x27902)+E(f837(x27903,x27904,x27901),f837(x27903,x27904,x27902))
% 163.42/163.18 [2791]~E(x27911,x27912)+E(f648(x27911,x27913,x27914,x27915,x27916,x27917),f648(x27912,x27913,x27914,x27915,x27916,x27917))
% 163.42/163.18 [2792]~E(x27921,x27922)+E(f648(x27923,x27921,x27924,x27925,x27926,x27927),f648(x27923,x27922,x27924,x27925,x27926,x27927))
% 163.42/163.18 [2793]~E(x27931,x27932)+E(f648(x27933,x27934,x27931,x27935,x27936,x27937),f648(x27933,x27934,x27932,x27935,x27936,x27937))
% 163.42/163.18 [2794]~E(x27941,x27942)+E(f648(x27943,x27944,x27945,x27941,x27946,x27947),f648(x27943,x27944,x27945,x27942,x27946,x27947))
% 163.42/163.18 [2795]~E(x27951,x27952)+E(f648(x27953,x27954,x27955,x27956,x27951,x27957),f648(x27953,x27954,x27955,x27956,x27952,x27957))
% 163.42/163.18 [2796]~E(x27961,x27962)+E(f648(x27963,x27964,x27965,x27966,x27967,x27961),f648(x27963,x27964,x27965,x27966,x27967,x27962))
% 163.42/163.18 [2797]~E(x27971,x27972)+E(f866(x27971,x27973,x27974,x27975,x27976),f866(x27972,x27973,x27974,x27975,x27976))
% 163.42/163.18 [2798]~E(x27981,x27982)+E(f866(x27983,x27981,x27984,x27985,x27986),f866(x27983,x27982,x27984,x27985,x27986))
% 163.42/163.18 [2799]~E(x27991,x27992)+E(f866(x27993,x27994,x27991,x27995,x27996),f866(x27993,x27994,x27992,x27995,x27996))
% 163.42/163.18 [2800]~E(x28001,x28002)+E(f866(x28003,x28004,x28005,x28001,x28006),f866(x28003,x28004,x28005,x28002,x28006))
% 163.42/163.18 [2801]~E(x28011,x28012)+E(f866(x28013,x28014,x28015,x28016,x28011),f866(x28013,x28014,x28015,x28016,x28012))
% 163.42/163.18 [2802]~E(x28021,x28022)+E(f622(x28021,x28023,x28024),f622(x28022,x28023,x28024))
% 163.42/163.18 [2803]~E(x28031,x28032)+E(f622(x28033,x28031,x28034),f622(x28033,x28032,x28034))
% 163.42/163.18 [2804]~E(x28041,x28042)+E(f622(x28043,x28044,x28041),f622(x28043,x28044,x28042))
% 163.42/163.18 [2805]~E(x28051,x28052)+E(f716(x28051,x28053,x28054),f716(x28052,x28053,x28054))
% 163.42/163.18 [2806]~E(x28061,x28062)+E(f716(x28063,x28061,x28064),f716(x28063,x28062,x28064))
% 163.42/163.18 [2807]~E(x28071,x28072)+E(f716(x28073,x28074,x28071),f716(x28073,x28074,x28072))
% 163.42/163.18 [2808]~E(x28081,x28082)+E(f350(x28081,x28083),f350(x28082,x28083))
% 163.42/163.18 [2809]~E(x28091,x28092)+E(f350(x28093,x28091),f350(x28093,x28092))
% 163.42/163.18 [2810]~E(x28101,x28102)+E(f198(x28101,x28103,x28104,x28105),f198(x28102,x28103,x28104,x28105))
% 163.42/163.18 [2811]~E(x28111,x28112)+E(f198(x28113,x28111,x28114,x28115),f198(x28113,x28112,x28114,x28115))
% 163.42/163.18 [2812]~E(x28121,x28122)+E(f198(x28123,x28124,x28121,x28125),f198(x28123,x28124,x28122,x28125))
% 163.42/163.18 [2813]~E(x28131,x28132)+E(f198(x28133,x28134,x28135,x28131),f198(x28133,x28134,x28135,x28132))
% 163.42/163.18 [2814]~E(x28141,x28142)+E(f293(x28141,x28143,x28144),f293(x28142,x28143,x28144))
% 163.42/163.18 [2815]~E(x28151,x28152)+E(f293(x28153,x28151,x28154),f293(x28153,x28152,x28154))
% 163.42/163.18 [2816]~E(x28161,x28162)+E(f293(x28163,x28164,x28161),f293(x28163,x28164,x28162))
% 163.42/163.18 [2817]~E(x28171,x28172)+E(f558(x28171,x28173),f558(x28172,x28173))
% 163.42/163.18 [2818]~E(x28181,x28182)+E(f558(x28183,x28181),f558(x28183,x28182))
% 163.42/163.18 [2819]~E(x28191,x28192)+E(f414(x28191,x28193),f414(x28192,x28193))
% 163.42/163.18 [2820]~E(x28201,x28202)+E(f414(x28203,x28201),f414(x28203,x28202))
% 163.42/163.18 [2821]~E(x28211,x28212)+E(f411(x28211),f411(x28212))
% 163.42/163.18 [2822]~E(x28221,x28222)+E(f405(x28221),f405(x28222))
% 163.42/163.18 [2823]~E(x28231,x28232)+E(f201(x28231),f201(x28232))
% 163.42/163.18 [2824]~E(x28241,x28242)+E(f514(x28241,x28243,x28244),f514(x28242,x28243,x28244))
% 163.42/163.18 [2825]~E(x28251,x28252)+E(f514(x28253,x28251,x28254),f514(x28253,x28252,x28254))
% 163.42/163.18 [2826]~E(x28261,x28262)+E(f514(x28263,x28264,x28261),f514(x28263,x28264,x28262))
% 163.42/163.18 [2827]~E(x28271,x28272)+E(f822(x28271,x28273),f822(x28272,x28273))
% 163.42/163.18 [2828]~E(x28281,x28282)+E(f822(x28283,x28281),f822(x28283,x28282))
% 163.42/163.18 [2829]~E(x28291,x28292)+E(f535(x28291),f535(x28292))
% 163.42/163.18 [2830]~E(x28301,x28302)+E(f124(x28301),f124(x28302))
% 163.42/163.18 [2831]~E(x28311,x28312)+E(f757(x28311,x28313,x28314),f757(x28312,x28313,x28314))
% 163.42/163.18 [2832]~E(x28321,x28322)+E(f757(x28323,x28321,x28324),f757(x28323,x28322,x28324))
% 163.42/163.18 [2833]~E(x28331,x28332)+E(f757(x28333,x28334,x28331),f757(x28333,x28334,x28332))
% 163.42/163.18 [2834]~E(x28341,x28342)+E(f755(x28341,x28343,x28344),f755(x28342,x28343,x28344))
% 163.42/163.18 [2835]~E(x28351,x28352)+E(f755(x28353,x28351,x28354),f755(x28353,x28352,x28354))
% 163.42/163.18 [2836]~E(x28361,x28362)+E(f755(x28363,x28364,x28361),f755(x28363,x28364,x28362))
% 163.42/163.18 [2837]~E(x28371,x28372)+E(f369(x28371),f369(x28372))
% 163.42/163.18 [2838]~E(x28381,x28382)+E(f351(x28381),f351(x28382))
% 163.42/163.18 [2839]~E(x28391,x28392)+E(f397(x28391,x28393,x28394),f397(x28392,x28393,x28394))
% 163.42/163.18 [2840]~E(x28401,x28402)+E(f397(x28403,x28401,x28404),f397(x28403,x28402,x28404))
% 163.42/163.18 [2841]~E(x28411,x28412)+E(f397(x28413,x28414,x28411),f397(x28413,x28414,x28412))
% 163.42/163.18 [2842]~E(x28421,x28422)+E(f207(x28421,x28423,x28424,x28425),f207(x28422,x28423,x28424,x28425))
% 163.42/163.18 [2843]~E(x28431,x28432)+E(f207(x28433,x28431,x28434,x28435),f207(x28433,x28432,x28434,x28435))
% 163.42/163.18 [2844]~E(x28441,x28442)+E(f207(x28443,x28444,x28441,x28445),f207(x28443,x28444,x28442,x28445))
% 163.42/163.18 [2845]~E(x28451,x28452)+E(f207(x28453,x28454,x28455,x28451),f207(x28453,x28454,x28455,x28452))
% 163.42/163.18 [2846]~E(x28461,x28462)+E(f368(x28461),f368(x28462))
% 163.42/163.18 [2847]~E(x28471,x28472)+E(f275(x28471,x28473,x28474,x28475),f275(x28472,x28473,x28474,x28475))
% 163.42/163.18 [2848]~E(x28481,x28482)+E(f275(x28483,x28481,x28484,x28485),f275(x28483,x28482,x28484,x28485))
% 163.42/163.18 [2849]~E(x28491,x28492)+E(f275(x28493,x28494,x28491,x28495),f275(x28493,x28494,x28492,x28495))
% 163.42/163.18 [2850]~E(x28501,x28502)+E(f275(x28503,x28504,x28505,x28501),f275(x28503,x28504,x28505,x28502))
% 163.42/163.18 [2851]~E(x28511,x28512)+E(f278(x28511,x28513,x28514,x28515),f278(x28512,x28513,x28514,x28515))
% 163.42/163.18 [2852]~E(x28521,x28522)+E(f278(x28523,x28521,x28524,x28525),f278(x28523,x28522,x28524,x28525))
% 163.42/163.18 [2853]~E(x28531,x28532)+E(f278(x28533,x28534,x28531,x28535),f278(x28533,x28534,x28532,x28535))
% 163.42/163.18 [2854]~E(x28541,x28542)+E(f278(x28543,x28544,x28545,x28541),f278(x28543,x28544,x28545,x28542))
% 163.42/163.18 [2855]~P1(x28551)+P1(x28552)+~E(x28551,x28552)
% 163.42/163.18 [2856]~P106(x28561)+P106(x28562)+~E(x28561,x28562)
% 163.42/163.18 [2857]P25(x28572,x28573,x28574)+~E(x28571,x28572)+~P25(x28571,x28573,x28574)
% 163.42/163.18 [2858]P25(x28583,x28582,x28584)+~E(x28581,x28582)+~P25(x28583,x28581,x28584)
% 163.42/163.18 [2859]P25(x28593,x28594,x28592)+~E(x28591,x28592)+~P25(x28593,x28594,x28591)
% 163.42/163.18 [2860]~P107(x28601)+P107(x28602)+~E(x28601,x28602)
% 163.42/163.18 [2861]~P102(x28611)+P102(x28612)+~E(x28611,x28612)
% 163.42/163.18 [2862]~P80(x28621)+P80(x28622)+~E(x28621,x28622)
% 163.42/163.18 [2863]~P96(x28631)+P96(x28632)+~E(x28631,x28632)
% 163.42/163.18 [2864]~P108(x28641)+P108(x28642)+~E(x28641,x28642)
% 163.42/163.18 [2865]~P109(x28651)+P109(x28652)+~E(x28651,x28652)
% 163.42/163.18 [2866]~P110(x28661)+P110(x28662)+~E(x28661,x28662)
% 163.42/163.18 [2867]P18(x28672,x28673,x28674)+~E(x28671,x28672)+~P18(x28671,x28673,x28674)
% 163.42/163.18 [2868]P18(x28683,x28682,x28684)+~E(x28681,x28682)+~P18(x28683,x28681,x28684)
% 163.42/163.18 [2869]P18(x28693,x28694,x28692)+~E(x28691,x28692)+~P18(x28693,x28694,x28691)
% 163.42/163.18 [2870]P35(x28702,x28703,x28704)+~E(x28701,x28702)+~P35(x28701,x28703,x28704)
% 163.42/163.18 [2871]P35(x28713,x28712,x28714)+~E(x28711,x28712)+~P35(x28713,x28711,x28714)
% 163.42/163.18 [2872]P35(x28723,x28724,x28722)+~E(x28721,x28722)+~P35(x28723,x28724,x28721)
% 163.42/163.18 [2873]P37(x28732,x28733,x28734)+~E(x28731,x28732)+~P37(x28731,x28733,x28734)
% 163.42/163.18 [2874]P37(x28743,x28742,x28744)+~E(x28741,x28742)+~P37(x28743,x28741,x28744)
% 163.42/163.18 [2875]P37(x28753,x28754,x28752)+~E(x28751,x28752)+~P37(x28753,x28754,x28751)
% 163.42/163.18 [2876]~P2(x28761)+P2(x28762)+~E(x28761,x28762)
% 163.42/163.18 [2877]~P82(x28771)+P82(x28772)+~E(x28771,x28772)
% 163.42/163.18 [2878]~P85(x28781)+P85(x28782)+~E(x28781,x28782)
% 163.42/163.18 [2879]~P86(x28791)+P86(x28792)+~E(x28791,x28792)
% 163.42/163.18 [2880]~P97(x28801)+P97(x28802)+~E(x28801,x28802)
% 163.42/163.18 [2881]~P94(x28811)+P94(x28812)+~E(x28811,x28812)
% 163.42/163.18 [2882]P149(x28822,x28823,x28824)+~E(x28821,x28822)+~P149(x28821,x28823,x28824)
% 163.42/163.18 [2883]P149(x28833,x28832,x28834)+~E(x28831,x28832)+~P149(x28833,x28831,x28834)
% 163.42/163.18 [2884]P149(x28843,x28844,x28842)+~E(x28841,x28842)+~P149(x28843,x28844,x28841)
% 163.42/163.18 [2885]~P6(x28851)+P6(x28852)+~E(x28851,x28852)
% 163.42/163.18 [2886]~P3(x28861)+P3(x28862)+~E(x28861,x28862)
% 163.42/163.18 [2887]~P101(x28871)+P101(x28872)+~E(x28871,x28872)
% 163.42/163.18 [2888]~P67(x28881)+P67(x28882)+~E(x28881,x28882)
% 163.42/163.18 [2889]P39(x28892,x28893)+~E(x28891,x28892)+~P39(x28891,x28893)
% 163.42/163.18 [2890]P39(x28903,x28902)+~E(x28901,x28902)+~P39(x28903,x28901)
% 163.42/163.18 [2891]~P4(x28911)+P4(x28912)+~E(x28911,x28912)
% 163.42/163.18 [2892]~P68(x28921)+P68(x28922)+~E(x28921,x28922)
% 163.42/163.18 [2893]~P65(x28931)+P65(x28932)+~E(x28931,x28932)
% 163.42/163.18 [2894]P29(x28942,x28943)+~E(x28941,x28942)+~P29(x28941,x28943)
% 163.42/163.18 [2895]P29(x28953,x28952)+~E(x28951,x28952)+~P29(x28953,x28951)
% 163.42/163.18 [2896]~P5(x28961)+P5(x28962)+~E(x28961,x28962)
% 163.42/163.18 [2897]P26(x28972,x28973,x28974,x28975)+~E(x28971,x28972)+~P26(x28971,x28973,x28974,x28975)
% 163.42/163.18 [2898]P26(x28983,x28982,x28984,x28985)+~E(x28981,x28982)+~P26(x28983,x28981,x28984,x28985)
% 163.42/163.18 [2899]P26(x28993,x28994,x28992,x28995)+~E(x28991,x28992)+~P26(x28993,x28994,x28991,x28995)
% 163.42/163.18 [2900]P26(x29003,x29004,x29005,x29002)+~E(x29001,x29002)+~P26(x29003,x29004,x29005,x29001)
% 163.42/163.18 [2901]P14(x29012,x29013)+~E(x29011,x29012)+~P14(x29011,x29013)
% 163.42/163.18 [2902]P14(x29023,x29022)+~E(x29021,x29022)+~P14(x29023,x29021)
% 163.42/163.18 [2903]~P69(x29031)+P69(x29032)+~E(x29031,x29032)
% 163.42/163.18 [2904]~P111(x29041)+P111(x29042)+~E(x29041,x29042)
% 163.42/163.18 [2905]~P70(x29051)+P70(x29052)+~E(x29051,x29052)
% 163.42/163.18 [2906]~P129(x29061)+P129(x29062)+~E(x29061,x29062)
% 163.42/163.18 [2907]~P113(x29071)+P113(x29072)+~E(x29071,x29072)
% 163.42/163.18 [2908]P57(x29082,x29083,x29084)+~E(x29081,x29082)+~P57(x29081,x29083,x29084)
% 163.42/163.18 [2909]P57(x29093,x29092,x29094)+~E(x29091,x29092)+~P57(x29093,x29091,x29094)
% 163.42/163.18 [2910]P57(x29103,x29104,x29102)+~E(x29101,x29102)+~P57(x29103,x29104,x29101)
% 163.42/163.18 [2911]P33(x29112,x29113,x29114)+~E(x29111,x29112)+~P33(x29111,x29113,x29114)
% 163.42/163.18 [2912]P33(x29123,x29122,x29124)+~E(x29121,x29122)+~P33(x29123,x29121,x29124)
% 163.42/163.18 [2913]P33(x29133,x29134,x29132)+~E(x29131,x29132)+~P33(x29133,x29134,x29131)
% 163.42/163.18 [2914]P19(x29142,x29143,x29144)+~E(x29141,x29142)+~P19(x29141,x29143,x29144)
% 163.42/163.18 [2915]P19(x29153,x29152,x29154)+~E(x29151,x29152)+~P19(x29153,x29151,x29154)
% 163.42/163.18 [2916]P19(x29163,x29164,x29162)+~E(x29161,x29162)+~P19(x29163,x29164,x29161)
% 163.42/163.18 [2917]~P99(x29171)+P99(x29172)+~E(x29171,x29172)
% 163.42/163.18 [2918]~P42(x29181)+P42(x29182)+~E(x29181,x29182)
% 163.42/163.18 [2919]P59(x29192,x29193)+~E(x29191,x29192)+~P59(x29191,x29193)
% 163.42/163.18 [2920]P59(x29203,x29202)+~E(x29201,x29202)+~P59(x29203,x29201)
% 163.42/163.18 [2921]~P72(x29211)+P72(x29212)+~E(x29211,x29212)
% 163.42/163.18 [2922]P41(x29222,x29223)+~E(x29221,x29222)+~P41(x29221,x29223)
% 163.42/163.18 [2923]P41(x29233,x29232)+~E(x29231,x29232)+~P41(x29233,x29231)
% 163.42/163.18 [2924]~P89(x29241)+P89(x29242)+~E(x29241,x29242)
% 163.42/163.18 [2925]~P84(x29251)+P84(x29252)+~E(x29251,x29252)
% 163.42/163.18 [2926]P36(x29262,x29263,x29264,x29265,x29266)+~E(x29261,x29262)+~P36(x29261,x29263,x29264,x29265,x29266)
% 163.42/163.18 [2927]P36(x29273,x29272,x29274,x29275,x29276)+~E(x29271,x29272)+~P36(x29273,x29271,x29274,x29275,x29276)
% 163.42/163.18 [2928]P36(x29283,x29284,x29282,x29285,x29286)+~E(x29281,x29282)+~P36(x29283,x29284,x29281,x29285,x29286)
% 163.42/163.18 [2929]P36(x29293,x29294,x29295,x29292,x29296)+~E(x29291,x29292)+~P36(x29293,x29294,x29295,x29291,x29296)
% 163.42/163.18 [2930]P36(x29303,x29304,x29305,x29306,x29302)+~E(x29301,x29302)+~P36(x29303,x29304,x29305,x29306,x29301)
% 163.42/163.18 [2931]~P146(x29311)+P146(x29312)+~E(x29311,x29312)
% 163.42/163.18 [2932]~P73(x29321)+P73(x29322)+~E(x29321,x29322)
% 163.42/163.18 [2933]P27(x29332,x29333,x29334,x29335,x29336)+~E(x29331,x29332)+~P27(x29331,x29333,x29334,x29335,x29336)
% 163.42/163.18 [2934]P27(x29343,x29342,x29344,x29345,x29346)+~E(x29341,x29342)+~P27(x29343,x29341,x29344,x29345,x29346)
% 163.42/163.18 [2935]P27(x29353,x29354,x29352,x29355,x29356)+~E(x29351,x29352)+~P27(x29353,x29354,x29351,x29355,x29356)
% 163.42/163.18 [2936]P27(x29363,x29364,x29365,x29362,x29366)+~E(x29361,x29362)+~P27(x29363,x29364,x29365,x29361,x29366)
% 163.42/163.18 [2937]P27(x29373,x29374,x29375,x29376,x29372)+~E(x29371,x29372)+~P27(x29373,x29374,x29375,x29376,x29371)
% 163.42/163.18 [2938]P58(x29382,x29383,x29384,x29385,x29386)+~E(x29381,x29382)+~P58(x29381,x29383,x29384,x29385,x29386)
% 163.42/163.18 [2939]P58(x29393,x29392,x29394,x29395,x29396)+~E(x29391,x29392)+~P58(x29393,x29391,x29394,x29395,x29396)
% 163.42/163.18 [2940]P58(x29403,x29404,x29402,x29405,x29406)+~E(x29401,x29402)+~P58(x29403,x29404,x29401,x29405,x29406)
% 163.42/163.18 [2941]P58(x29413,x29414,x29415,x29412,x29416)+~E(x29411,x29412)+~P58(x29413,x29414,x29415,x29411,x29416)
% 163.42/163.18 [2942]P58(x29423,x29424,x29425,x29426,x29422)+~E(x29421,x29422)+~P58(x29423,x29424,x29425,x29426,x29421)
% 163.42/163.18 [2943]~P74(x29431)+P74(x29432)+~E(x29431,x29432)
% 163.42/163.18 [2944]~P119(x29441)+P119(x29442)+~E(x29441,x29442)
% 163.42/163.18 [2945]P56(x29452,x29453,x29454)+~E(x29451,x29452)+~P56(x29451,x29453,x29454)
% 163.42/163.18 [2946]P56(x29463,x29462,x29464)+~E(x29461,x29462)+~P56(x29463,x29461,x29464)
% 163.42/163.18 [2947]P56(x29473,x29474,x29472)+~E(x29471,x29472)+~P56(x29473,x29474,x29471)
% 163.42/163.18 [2948]~P71(x29481)+P71(x29482)+~E(x29481,x29482)
% 163.42/163.18 [2949]P31(x29492,x29493,x29494)+~E(x29491,x29492)+~P31(x29491,x29493,x29494)
% 163.42/163.18 [2950]P31(x29503,x29502,x29504)+~E(x29501,x29502)+~P31(x29503,x29501,x29504)
% 163.42/163.18 [2951]P31(x29513,x29514,x29512)+~E(x29511,x29512)+~P31(x29513,x29514,x29511)
% 163.42/163.18 [2952]P61(x29522,x29523)+~E(x29521,x29522)+~P61(x29521,x29523)
% 163.42/163.18 [2953]P61(x29533,x29532)+~E(x29531,x29532)+~P61(x29533,x29531)
% 163.42/163.18 [2954]~P120(x29541)+P120(x29542)+~E(x29541,x29542)
% 163.42/163.18 [2955]P148(x29552,x29553,x29554)+~E(x29551,x29552)+~P148(x29551,x29553,x29554)
% 163.42/163.18 [2956]P148(x29563,x29562,x29564)+~E(x29561,x29562)+~P148(x29563,x29561,x29564)
% 163.42/163.18 [2957]P148(x29573,x29574,x29572)+~E(x29571,x29572)+~P148(x29573,x29574,x29571)
% 163.42/163.18 [2958]P9(x29582,x29583,x29584)+~E(x29581,x29582)+~P9(x29581,x29583,x29584)
% 163.42/163.18 [2959]P9(x29593,x29592,x29594)+~E(x29591,x29592)+~P9(x29593,x29591,x29594)
% 163.42/163.18 [2960]P9(x29603,x29604,x29602)+~E(x29601,x29602)+~P9(x29603,x29604,x29601)
% 163.42/163.18 [2961]P15(x29612,x29613,x29614)+~E(x29611,x29612)+~P15(x29611,x29613,x29614)
% 163.42/163.18 [2962]P15(x29623,x29622,x29624)+~E(x29621,x29622)+~P15(x29623,x29621,x29624)
% 163.42/163.18 [2963]P15(x29633,x29634,x29632)+~E(x29631,x29632)+~P15(x29633,x29634,x29631)
% 163.42/163.18 [2964]P16(x29642,x29643)+~E(x29641,x29642)+~P16(x29641,x29643)
% 163.42/163.18 [2965]P16(x29653,x29652)+~E(x29651,x29652)+~P16(x29653,x29651)
% 163.42/163.18 [2966]P53(x29662,x29663)+~E(x29661,x29662)+~P53(x29661,x29663)
% 163.42/163.18 [2967]P53(x29673,x29672)+~E(x29671,x29672)+~P53(x29673,x29671)
% 163.42/163.18 [2968]~P76(x29681)+P76(x29682)+~E(x29681,x29682)
% 163.42/163.18 [2969]~P112(x29691)+P112(x29692)+~E(x29691,x29692)
% 163.42/163.18 [2970]P32(x29702,x29703,x29704)+~E(x29701,x29702)+~P32(x29701,x29703,x29704)
% 163.42/163.18 [2971]P32(x29713,x29712,x29714)+~E(x29711,x29712)+~P32(x29713,x29711,x29714)
% 163.42/163.18 [2972]P32(x29723,x29724,x29722)+~E(x29721,x29722)+~P32(x29723,x29724,x29721)
% 163.42/163.18 [2973]P60(x29732,x29733,x29734,x29735)+~E(x29731,x29732)+~P60(x29731,x29733,x29734,x29735)
% 163.42/163.18 [2974]P60(x29743,x29742,x29744,x29745)+~E(x29741,x29742)+~P60(x29743,x29741,x29744,x29745)
% 163.42/163.18 [2975]P60(x29753,x29754,x29752,x29755)+~E(x29751,x29752)+~P60(x29753,x29754,x29751,x29755)
% 163.42/163.18 [2976]P60(x29763,x29764,x29765,x29762)+~E(x29761,x29762)+~P60(x29763,x29764,x29765,x29761)
% 163.42/163.18 [2977]~P77(x29771)+P77(x29772)+~E(x29771,x29772)
% 163.42/163.18 [2978]~P127(x29781)+P127(x29782)+~E(x29781,x29782)
% 163.42/163.18 [2979]~P140(x29791)+P140(x29792)+~E(x29791,x29792)
% 163.42/163.18 [2980]~P147(x29801)+P147(x29802)+~E(x29801,x29802)
% 163.42/163.18 [2981]~P141(x29811)+P141(x29812)+~E(x29811,x29812)
% 163.42/163.18 [2982]~P135(x29821)+P135(x29822)+~E(x29821,x29822)
% 163.42/163.18 [2983]P52(x29832,x29833)+~E(x29831,x29832)+~P52(x29831,x29833)
% 163.42/163.18 [2984]P52(x29843,x29842)+~E(x29841,x29842)+~P52(x29843,x29841)
% 163.42/163.18 [2985]~P114(x29851)+P114(x29852)+~E(x29851,x29852)
% 163.42/163.18 [2986]P49(x29862,x29863,x29864)+~E(x29861,x29862)+~P49(x29861,x29863,x29864)
% 163.42/163.18 [2987]P49(x29873,x29872,x29874)+~E(x29871,x29872)+~P49(x29873,x29871,x29874)
% 163.42/163.18 [2988]P49(x29883,x29884,x29882)+~E(x29881,x29882)+~P49(x29883,x29884,x29881)
% 163.42/163.18 [2989]P12(x29892,x29893,x29894,x29895)+~E(x29891,x29892)+~P12(x29891,x29893,x29894,x29895)
% 163.42/163.18 [2990]P12(x29903,x29902,x29904,x29905)+~E(x29901,x29902)+~P12(x29903,x29901,x29904,x29905)
% 163.42/163.18 [2991]P12(x29913,x29914,x29912,x29915)+~E(x29911,x29912)+~P12(x29913,x29914,x29911,x29915)
% 163.42/163.18 [2992]P12(x29923,x29924,x29925,x29922)+~E(x29921,x29922)+~P12(x29923,x29924,x29925,x29921)
% 163.42/163.18 [2993]P24(x29932,x29933,x29934,x29935,x29936,x29937)+~E(x29931,x29932)+~P24(x29931,x29933,x29934,x29935,x29936,x29937)
% 163.42/163.18 [2994]P24(x29943,x29942,x29944,x29945,x29946,x29947)+~E(x29941,x29942)+~P24(x29943,x29941,x29944,x29945,x29946,x29947)
% 163.42/163.18 [2995]P24(x29953,x29954,x29952,x29955,x29956,x29957)+~E(x29951,x29952)+~P24(x29953,x29954,x29951,x29955,x29956,x29957)
% 163.42/163.18 [2996]P24(x29963,x29964,x29965,x29962,x29966,x29967)+~E(x29961,x29962)+~P24(x29963,x29964,x29965,x29961,x29966,x29967)
% 163.42/163.18 [2997]P24(x29973,x29974,x29975,x29976,x29972,x29977)+~E(x29971,x29972)+~P24(x29973,x29974,x29975,x29976,x29971,x29977)
% 163.42/163.18 [2998]P24(x29983,x29984,x29985,x29986,x29987,x29982)+~E(x29981,x29982)+~P24(x29983,x29984,x29985,x29986,x29987,x29981)
% 163.42/163.18 [2999]~P95(x29991)+P95(x29992)+~E(x29991,x29992)
% 163.42/163.18 [3000]~P78(x30001)+P78(x30002)+~E(x30001,x30002)
% 163.42/163.18 [3001]~P81(x30011)+P81(x30012)+~E(x30011,x30012)
% 163.42/163.18 [3002]~P62(x30021)+P62(x30022)+~E(x30021,x30022)
% 163.42/163.18 [3003]P40(x30032,x30033)+~E(x30031,x30032)+~P40(x30031,x30033)
% 163.42/163.18 [3004]P40(x30043,x30042)+~E(x30041,x30042)+~P40(x30043,x30041)
% 163.42/163.18 [3005]P17(x30052,x30053,x30054)+~E(x30051,x30052)+~P17(x30051,x30053,x30054)
% 163.42/163.18 [3006]P17(x30063,x30062,x30064)+~E(x30061,x30062)+~P17(x30063,x30061,x30064)
% 163.42/163.18 [3007]P17(x30073,x30074,x30072)+~E(x30071,x30072)+~P17(x30073,x30074,x30071)
% 163.42/163.18 [3008]P51(x30082,x30083)+~E(x30081,x30082)+~P51(x30081,x30083)
% 163.42/163.18 [3009]P51(x30093,x30092)+~E(x30091,x30092)+~P51(x30093,x30091)
% 163.42/163.18 [3010]P20(x30102,x30103,x30104,x30105)+~E(x30101,x30102)+~P20(x30101,x30103,x30104,x30105)
% 163.42/163.18 [3011]P20(x30113,x30112,x30114,x30115)+~E(x30111,x30112)+~P20(x30113,x30111,x30114,x30115)
% 163.42/163.18 [3012]P20(x30123,x30124,x30122,x30125)+~E(x30121,x30122)+~P20(x30123,x30124,x30121,x30125)
% 163.42/163.18 [3013]P20(x30133,x30134,x30135,x30132)+~E(x30131,x30132)+~P20(x30133,x30134,x30135,x30131)
% 163.42/163.18 [3014]~P143(x30141)+P143(x30142)+~E(x30141,x30142)
% 163.42/163.18 [3015]P13(x30152,x30153,x30154,x30155,x30156,x30157)+~E(x30151,x30152)+~P13(x30151,x30153,x30154,x30155,x30156,x30157)
% 163.42/163.18 [3016]P13(x30163,x30162,x30164,x30165,x30166,x30167)+~E(x30161,x30162)+~P13(x30163,x30161,x30164,x30165,x30166,x30167)
% 163.42/163.18 [3017]P13(x30173,x30174,x30172,x30175,x30176,x30177)+~E(x30171,x30172)+~P13(x30173,x30174,x30171,x30175,x30176,x30177)
% 163.42/163.18 [3018]P13(x30183,x30184,x30185,x30182,x30186,x30187)+~E(x30181,x30182)+~P13(x30183,x30184,x30185,x30181,x30186,x30187)
% 163.42/163.18 [3019]P13(x30193,x30194,x30195,x30196,x30192,x30197)+~E(x30191,x30192)+~P13(x30193,x30194,x30195,x30196,x30191,x30197)
% 163.42/163.18 [3020]P13(x30203,x30204,x30205,x30206,x30207,x30202)+~E(x30201,x30202)+~P13(x30203,x30204,x30205,x30206,x30207,x30201)
% 163.42/163.18 [3021]~P64(x30211)+P64(x30212)+~E(x30211,x30212)
% 163.42/163.18 [3022]P54(x30222,x30223,x30224)+~E(x30221,x30222)+~P54(x30221,x30223,x30224)
% 163.42/163.18 [3023]P54(x30233,x30232,x30234)+~E(x30231,x30232)+~P54(x30233,x30231,x30234)
% 163.42/163.18 [3024]P54(x30243,x30244,x30242)+~E(x30241,x30242)+~P54(x30243,x30244,x30241)
% 163.42/163.18 [3025]~P130(x30251)+P130(x30252)+~E(x30251,x30252)
% 163.42/163.18 [3026]~P88(x30261)+P88(x30262)+~E(x30261,x30262)
% 163.42/163.18 [3027]P45(x30272,x30273)+~E(x30271,x30272)+~P45(x30271,x30273)
% 163.42/163.18 [3028]P45(x30283,x30282)+~E(x30281,x30282)+~P45(x30283,x30281)
% 163.42/163.18 [3029]P34(x30292,x30293,x30294,x30295)+~E(x30291,x30292)+~P34(x30291,x30293,x30294,x30295)
% 163.42/163.18 [3030]P34(x30303,x30302,x30304,x30305)+~E(x30301,x30302)+~P34(x30303,x30301,x30304,x30305)
% 163.42/163.18 [3031]P34(x30313,x30314,x30312,x30315)+~E(x30311,x30312)+~P34(x30313,x30314,x30311,x30315)
% 163.42/163.18 [3032]P34(x30323,x30324,x30325,x30322)+~E(x30321,x30322)+~P34(x30323,x30324,x30325,x30321)
% 163.42/163.18 [3033]~P83(x30331)+P83(x30332)+~E(x30331,x30332)
% 163.42/163.18 [3034]~P63(x30341)+P63(x30342)+~E(x30341,x30342)
% 163.42/163.18 [3035]P21(x30352,x30353,x30354,x30355)+~E(x30351,x30352)+~P21(x30351,x30353,x30354,x30355)
% 163.42/163.18 [3036]P21(x30363,x30362,x30364,x30365)+~E(x30361,x30362)+~P21(x30363,x30361,x30364,x30365)
% 163.42/163.18 [3037]P21(x30373,x30374,x30372,x30375)+~E(x30371,x30372)+~P21(x30373,x30374,x30371,x30375)
% 163.42/163.18 [3038]P21(x30383,x30384,x30385,x30382)+~E(x30381,x30382)+~P21(x30383,x30384,x30385,x30381)
% 163.42/163.18 [3039]~P138(x30391)+P138(x30392)+~E(x30391,x30392)
% 163.42/163.18 [3040]~P133(x30401)+P133(x30402)+~E(x30401,x30402)
% 163.42/163.18 [3041]~P144(x30411)+P144(x30412)+~E(x30411,x30412)
% 163.42/163.18 [3042]~P66(x30421)+P66(x30422)+~E(x30421,x30422)
% 163.42/163.18 [3043]~P142(x30431)+P142(x30432)+~E(x30431,x30432)
% 163.42/163.18 [3044]~P134(x30441)+P134(x30442)+~E(x30441,x30442)
% 163.42/163.18 [3045]P8(x30452,x30453)+~E(x30451,x30452)+~P8(x30451,x30453)
% 163.42/163.18 [3046]P8(x30463,x30462)+~E(x30461,x30462)+~P8(x30463,x30461)
% 163.42/163.18 [3047]~P87(x30471)+P87(x30472)+~E(x30471,x30472)
% 163.42/163.18 [3048]~P145(x30481)+P145(x30482)+~E(x30481,x30482)
% 163.42/163.18 [3049]P22(x30492,x30493,x30494,x30495,x30496)+~E(x30491,x30492)+~P22(x30491,x30493,x30494,x30495,x30496)
% 163.42/163.18 [3050]P22(x30503,x30502,x30504,x30505,x30506)+~E(x30501,x30502)+~P22(x30503,x30501,x30504,x30505,x30506)
% 163.42/163.18 [3051]P22(x30513,x30514,x30512,x30515,x30516)+~E(x30511,x30512)+~P22(x30513,x30514,x30511,x30515,x30516)
% 163.42/163.18 [3052]P22(x30523,x30524,x30525,x30522,x30526)+~E(x30521,x30522)+~P22(x30523,x30524,x30525,x30521,x30526)
% 163.42/163.18 [3053]P22(x30533,x30534,x30535,x30536,x30532)+~E(x30531,x30532)+~P22(x30533,x30534,x30535,x30536,x30531)
% 163.42/163.18 [3054]P23(x30542,x30543,x30544,x30545,x30546,x30547)+~E(x30541,x30542)+~P23(x30541,x30543,x30544,x30545,x30546,x30547)
% 163.42/163.18 [3055]P23(x30553,x30552,x30554,x30555,x30556,x30557)+~E(x30551,x30552)+~P23(x30553,x30551,x30554,x30555,x30556,x30557)
% 163.42/163.18 [3056]P23(x30563,x30564,x30562,x30565,x30566,x30567)+~E(x30561,x30562)+~P23(x30563,x30564,x30561,x30565,x30566,x30567)
% 163.42/163.18 [3057]P23(x30573,x30574,x30575,x30572,x30576,x30577)+~E(x30571,x30572)+~P23(x30573,x30574,x30575,x30571,x30576,x30577)
% 163.42/163.18 [3058]P23(x30583,x30584,x30585,x30586,x30582,x30587)+~E(x30581,x30582)+~P23(x30583,x30584,x30585,x30586,x30581,x30587)
% 163.42/163.18 [3059]P23(x30593,x30594,x30595,x30596,x30597,x30592)+~E(x30591,x30592)+~P23(x30593,x30594,x30595,x30596,x30597,x30591)
% 163.42/163.18 [3060]~P91(x30601)+P91(x30602)+~E(x30601,x30602)
% 163.42/163.18 [3061]~P116(x30611)+P116(x30612)+~E(x30611,x30612)
% 163.42/163.18 [3062]~P139(x30621)+P139(x30622)+~E(x30621,x30622)
% 163.42/163.18 [3063]~P128(x30631)+P128(x30632)+~E(x30631,x30632)
% 163.42/163.18 [3064]P46(x30642,x30643)+~E(x30641,x30642)+~P46(x30641,x30643)
% 163.42/163.18 [3065]P46(x30653,x30652)+~E(x30651,x30652)+~P46(x30653,x30651)
% 163.42/163.18 [3066]~P136(x30661)+P136(x30662)+~E(x30661,x30662)
% 163.42/163.18 [3067]~P75(x30671)+P75(x30672)+~E(x30671,x30672)
% 163.42/163.18 [3068]~P124(x30681)+P124(x30682)+~E(x30681,x30682)
% 163.42/163.18 [3069]~P92(x30691)+P92(x30692)+~E(x30691,x30692)
% 163.42/163.18 [3070]~P117(x30701)+P117(x30702)+~E(x30701,x30702)
% 163.42/163.18 [3071]~P115(x30711)+P115(x30712)+~E(x30711,x30712)
% 163.42/163.18 [3072]~P137(x30721)+P137(x30722)+~E(x30721,x30722)
% 163.42/163.18 [3073]~P7(x30731)+P7(x30732)+~E(x30731,x30732)
% 163.42/163.18 [3074]~P122(x30741)+P122(x30742)+~E(x30741,x30742)
% 163.42/163.18 [3075]~P121(x30751)+P121(x30752)+~E(x30751,x30752)
% 163.42/163.18 [3076]P44(x30762,x30763,x30764,x30765,x30766,x30767)+~E(x30761,x30762)+~P44(x30761,x30763,x30764,x30765,x30766,x30767)
% 163.42/163.18 [3077]P44(x30773,x30772,x30774,x30775,x30776,x30777)+~E(x30771,x30772)+~P44(x30773,x30771,x30774,x30775,x30776,x30777)
% 163.42/163.18 [3078]P44(x30783,x30784,x30782,x30785,x30786,x30787)+~E(x30781,x30782)+~P44(x30783,x30784,x30781,x30785,x30786,x30787)
% 163.42/163.18 [3079]P44(x30793,x30794,x30795,x30792,x30796,x30797)+~E(x30791,x30792)+~P44(x30793,x30794,x30795,x30791,x30796,x30797)
% 163.42/163.18 [3080]P44(x30803,x30804,x30805,x30806,x30802,x30807)+~E(x30801,x30802)+~P44(x30803,x30804,x30805,x30806,x30801,x30807)
% 163.42/163.18 [3081]P44(x30813,x30814,x30815,x30816,x30817,x30812)+~E(x30811,x30812)+~P44(x30813,x30814,x30815,x30816,x30817,x30811)
% 163.42/163.18 [3082]~P93(x30821)+P93(x30822)+~E(x30821,x30822)
% 163.42/163.18 [3083]P11(x30832,x30833,x30834,x30835,x30836)+~E(x30831,x30832)+~P11(x30831,x30833,x30834,x30835,x30836)
% 163.42/163.18 [3084]P11(x30843,x30842,x30844,x30845,x30846)+~E(x30841,x30842)+~P11(x30843,x30841,x30844,x30845,x30846)
% 163.42/163.18 [3085]P11(x30853,x30854,x30852,x30855,x30856)+~E(x30851,x30852)+~P11(x30853,x30854,x30851,x30855,x30856)
% 163.42/163.18 [3086]P11(x30863,x30864,x30865,x30862,x30866)+~E(x30861,x30862)+~P11(x30863,x30864,x30865,x30861,x30866)
% 163.42/163.18 [3087]P11(x30873,x30874,x30875,x30876,x30872)+~E(x30871,x30872)+~P11(x30873,x30874,x30875,x30876,x30871)
% 163.42/163.18 [3088]~P123(x30881)+P123(x30882)+~E(x30881,x30882)
% 163.42/163.18 [3089]~P98(x30891)+P98(x30892)+~E(x30891,x30892)
% 163.42/163.18 [3090]~P131(x30901)+P131(x30902)+~E(x30901,x30902)
% 163.42/163.18 [3091]~P104(x30911)+P104(x30912)+~E(x30911,x30912)
% 163.42/163.18 [3092]~P100(x30921)+P100(x30922)+~E(x30921,x30922)
% 163.42/163.18 [3093]~P132(x30931)+P132(x30932)+~E(x30931,x30932)
% 163.42/163.18 [3094]P48(x30942,x30943)+~E(x30941,x30942)+~P48(x30941,x30943)
% 163.42/163.18 [3095]P48(x30953,x30952)+~E(x30951,x30952)+~P48(x30953,x30951)
% 163.42/163.18 [3096]P28(x30962,x30963)+~E(x30961,x30962)+~P28(x30961,x30963)
% 163.42/163.18 [3097]P28(x30973,x30972)+~E(x30971,x30972)+~P28(x30973,x30971)
% 163.42/163.18 [3098]P30(x30982,x30983,x30984)+~E(x30981,x30982)+~P30(x30981,x30983,x30984)
% 163.42/163.18 [3099]P30(x30993,x30992,x30994)+~E(x30991,x30992)+~P30(x30993,x30991,x30994)
% 163.42/163.18 [3100]P30(x31003,x31004,x31002)+~E(x31001,x31002)+~P30(x31003,x31004,x31001)
% 163.42/163.18 [3101]~P38(x31011)+P38(x31012)+~E(x31011,x31012)
% 163.42/163.18 [3102]~P105(x31021)+P105(x31022)+~E(x31021,x31022)
% 163.42/163.18 [3103]~P79(x31031)+P79(x31032)+~E(x31031,x31032)
% 163.42/163.18 [3104]~P103(x31041)+P103(x31042)+~E(x31041,x31042)
% 163.42/163.18 [3105]~P90(x31051)+P90(x31052)+~E(x31051,x31052)
% 163.42/163.18 [3106]~P125(x31061)+P125(x31062)+~E(x31061,x31062)
% 163.42/163.18 [3107]~P47(x31071)+P47(x31072)+~E(x31071,x31072)
% 163.42/163.18 [3108]P55(x31082,x31083)+~E(x31081,x31082)+~P55(x31081,x31083)
% 163.42/163.18 [3109]P55(x31093,x31092)+~E(x31091,x31092)+~P55(x31093,x31091)
% 163.42/163.18 [3110]~P118(x31101)+P118(x31102)+~E(x31101,x31102)
% 163.42/163.18 [3111]P50(x31112,x31113,x31114)+~E(x31111,x31112)+~P50(x31111,x31113,x31114)
% 163.42/163.18 [3112]P50(x31123,x31122,x31124)+~E(x31121,x31122)+~P50(x31123,x31121,x31124)
% 163.42/163.18 [3113]P50(x31133,x31134,x31132)+~E(x31131,x31132)+~P50(x31133,x31134,x31131)
% 163.42/163.18 [3114]P43(x31142,x31143,x31144,x31145)+~E(x31141,x31142)+~P43(x31141,x31143,x31144,x31145)
% 163.42/163.18 [3115]P43(x31153,x31152,x31154,x31155)+~E(x31151,x31152)+~P43(x31153,x31151,x31154,x31155)
% 163.42/163.18 [3116]P43(x31163,x31164,x31162,x31165)+~E(x31161,x31162)+~P43(x31163,x31164,x31161,x31165)
% 163.42/163.18 [3117]P43(x31173,x31174,x31175,x31172)+~E(x31171,x31172)+~P43(x31173,x31174,x31175,x31171)
% 163.42/163.18 [3118]P10(x31182,x31183,x31184)+~E(x31181,x31182)+~P10(x31181,x31183,x31184)
% 163.42/163.18 [3119]P10(x31193,x31192,x31194)+~E(x31191,x31192)+~P10(x31193,x31191,x31194)
% 163.42/163.18 [3120]P10(x31203,x31204,x31202)+~E(x31201,x31202)+~P10(x31203,x31204,x31201)
% 163.42/163.18 [3121]~P126(x31211)+P126(x31212)+~E(x31211,x31212)
% 163.42/163.18
% 163.42/163.18 %-------------------------------------------
% 163.57/163.23 cnf(10493,plain,
% 163.57/163.23 (~E(f326(a112,x104931),x104931)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(10503,plain,
% 163.57/163.23 (~E(f326(a112,x105031),x105031)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(10516,plain,
% 163.57/163.23 (~E(f326(a112,x105161),x105161)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(10521,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x105211),f113(x105211)),x105212))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(10524,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x105241),f113(x105241)),x105242))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(10527,plain,
% 163.57/163.23 (~E(f326(a112,x105271),x105271)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(10530,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x105301),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(10533,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x105331),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(10550,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x105501)),x105501))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(10553,plain,
% 163.57/163.23 (~E(f326(f326(f151(x105531),x105532),x105533),x105533)),
% 163.57/163.23 inference(rename_variables,[],[4699])).
% 163.57/163.23 cnf(10559,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x105591),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(10562,plain,
% 163.57/163.23 (E(f326(f283(x105621,x105621),f262(x105621,x105622)),x105622)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(10565,plain,
% 163.57/163.23 (E(f326(f283(x105651,x105651),f262(x105651,x105652)),x105652)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(10570,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x105701),x105701))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(10575,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),f326(f326(f79(a920),x105751),x105752)),x105752))),
% 163.57/163.23 inference(rename_variables,[],[4755])).
% 163.57/163.23 cnf(10578,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),f326(f326(f79(a920),x105781),x105782)),x105782))),
% 163.57/163.23 inference(rename_variables,[],[4755])).
% 163.57/163.23 cnf(10599,plain,
% 163.57/163.23 (~E(f326(a112,x105991),x105991)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(10602,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x106021),x106021))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(10605,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),f44(a920,x106051,x106052)),x106051))),
% 163.57/163.23 inference(rename_variables,[],[3977])).
% 163.57/163.23 cnf(10626,plain,
% 163.57/163.23 (E(f326(f34(a920),f326(f281(a920),x106261)),x106261)),
% 163.57/163.23 inference(rename_variables,[],[3415])).
% 163.57/163.23 cnf(10634,plain,
% 163.57/163.23 (~E(f326(a112,x106341),x106341)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(10637,plain,
% 163.57/163.23 (~E(f326(a112,x106371),x106371)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(10640,plain,
% 163.57/163.23 (~E(f326(a112,x106401),x106401)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(10645,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x106451),f326(a112,x106451)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(10654,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x106541),x106541))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(10661,plain,
% 163.57/163.23 (E(f326(f283(x106611,x106611),f262(x106611,x106612)),x106612)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(10664,plain,
% 163.57/163.23 (E(f326(f283(x106641,x106641),f262(x106641,x106642)),x106642)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(10681,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x106811),x106811))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(10686,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x106861),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(10689,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x106891,a916)),x106892),f241(f928(x106891,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3902])).
% 163.57/163.23 cnf(10694,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x106941),f113(x106941)),x106942))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(10723,plain,
% 163.57/163.23 (~E(f326(f326(f151(x107231),x107232),x107233),x107233)),
% 163.57/163.23 inference(rename_variables,[],[4699])).
% 163.57/163.23 cnf(10726,plain,
% 163.57/163.23 (~E(f326(a112,x107261),f2(a920))),
% 163.57/163.23 inference(rename_variables,[],[4690])).
% 163.57/163.23 cnf(10737,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x107371),x107371))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(10742,plain,
% 163.57/163.23 (~E(f326(a112,x107421),x107421)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(10745,plain,
% 163.57/163.23 (~P106(f326(f326(f189(f928(x107451,f928(x107452,a916))),x107453),x107454))),
% 163.57/163.23 inference(rename_variables,[],[4758])).
% 163.57/163.23 cnf(10752,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x107521),x107521))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(10765,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x107651),f326(a112,x107651)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(10786,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x107861,a916)),x107862),f241(f928(x107861,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3902])).
% 163.57/163.23 cnf(10789,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x107891),f113(x107891)),x107892))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(10808,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x108081),f113(x108081)),x108082))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(10815,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x108151),f113(x108151)),x108152))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(10826,plain,
% 163.57/163.23 (~E(f326(a112,x108261),f2(a920))),
% 163.57/163.23 inference(rename_variables,[],[4690])).
% 163.57/163.23 cnf(10831,plain,
% 163.57/163.23 (P106(f326(f326(f328(x108311),x108312),f241(f928(x108311,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3673])).
% 163.57/163.23 cnf(10838,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x108381),f113(x108381)),x108382))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(10843,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x108431),f326(a112,x108431)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(10846,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x108461),f113(x108461)),x108462))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(10849,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x108491),f113(x108491)),x108492))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(10852,plain,
% 163.57/163.23 (~P106(f326(f61(x108521,x108522,f189(f928(x108521,a916))),x108523))),
% 163.57/163.23 inference(rename_variables,[],[4754])).
% 163.57/163.23 cnf(10855,plain,
% 163.57/163.23 (~P106(f326(f61(x108551,x108552,f189(f928(x108551,a916))),x108553))),
% 163.57/163.23 inference(rename_variables,[],[4754])).
% 163.57/163.23 cnf(10858,plain,
% 163.57/163.23 (~P106(f326(f326(f189(f928(x108581,f928(x108582,a916))),x108583),x108584))),
% 163.57/163.23 inference(rename_variables,[],[4758])).
% 163.57/163.23 cnf(10861,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x108611),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(10866,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x108661),f113(x108661)),x108662))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(10877,plain,
% 163.57/163.23 (~E(f326(a112,x108771),x108771)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(10902,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x109021),x109021))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(10905,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x109051),f326(f326(f80(a920),x109051),x109051)))),
% 163.57/163.23 inference(rename_variables,[],[3782])).
% 163.57/163.23 cnf(10908,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x109081),f326(f326(f80(a920),x109081),x109081)))),
% 163.57/163.23 inference(rename_variables,[],[3782])).
% 163.57/163.23 cnf(10911,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x109111),f326(a112,f326(f326(f79(a920),x109112),x109111))))),
% 163.57/163.23 inference(rename_variables,[],[3970])).
% 163.57/163.23 cnf(10916,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x109161),f326(a112,x109161)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(10919,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x109191),f326(a112,x109191)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(10922,plain,
% 163.57/163.23 (P106(f326(f326(f328(x109221),x109222),f241(f928(x109221,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3673])).
% 163.57/163.23 cnf(10941,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x109411)),x109411))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(10944,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x109441)),x109441))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(10947,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),f326(f326(f79(a920),x109471),x109472)),x109472))),
% 163.57/163.23 inference(rename_variables,[],[4755])).
% 163.57/163.23 cnf(10950,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),f326(f326(f79(a920),x109501),x109502)),x109502))),
% 163.57/163.23 inference(rename_variables,[],[4755])).
% 163.57/163.23 cnf(10953,plain,
% 163.57/163.23 (P106(f326(f241(f928(x109531,a916)),x109532))),
% 163.57/163.23 inference(rename_variables,[],[3581])).
% 163.57/163.23 cnf(10956,plain,
% 163.57/163.23 (E(f326(f34(a920),f326(f281(a920),x109561)),x109561)),
% 163.57/163.23 inference(rename_variables,[],[3415])).
% 163.57/163.23 cnf(10959,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x109591),f326(a112,x109591)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(10966,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x109661),x109661))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(10971,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x109711),x109711))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(10980,plain,
% 163.57/163.23 (E(f326(f283(x109801,x109801),f262(x109801,x109802)),x109802)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(10983,plain,
% 163.57/163.23 (P106(f326(f241(f928(x109831,a916)),x109832))),
% 163.57/163.23 inference(rename_variables,[],[3581])).
% 163.57/163.23 cnf(10986,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),f2(a920)),x109861))),
% 163.57/163.23 inference(rename_variables,[],[3541])).
% 163.57/163.23 cnf(10989,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x109891,a916)),f189(f928(x109891,a916))),x109892))),
% 163.57/163.23 inference(rename_variables,[],[3969])).
% 163.57/163.23 cnf(10992,plain,
% 163.57/163.23 (P106(f326(f241(f928(x109921,a916)),x109922))),
% 163.57/163.23 inference(rename_variables,[],[3581])).
% 163.57/163.23 cnf(10995,plain,
% 163.57/163.23 (P106(f326(f241(f928(x109951,a916)),x109952))),
% 163.57/163.23 inference(rename_variables,[],[3581])).
% 163.57/163.23 cnf(10998,plain,
% 163.57/163.23 (P106(f326(f241(f928(x109981,a916)),x109982))),
% 163.57/163.23 inference(rename_variables,[],[3581])).
% 163.57/163.23 cnf(11001,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x110011),f326(f326(f80(a920),x110011),x110011)))),
% 163.57/163.23 inference(rename_variables,[],[3782])).
% 163.57/163.23 cnf(11010,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,f326(a112,f326(f326(f79(a920),x110101),x110102)))),f326(a112,x110102)))),
% 163.57/163.23 inference(scs_inference,[],[4680,10493,10503,10516,10527,10599,10634,10637,10640,10742,4690,10726,3316,3481,10562,10565,10661,10664,3458,3357,3418,3353,3380,3364,3991,3451,4699,10553,3415,10626,4302,4760,3436,3884,3820,3588,10645,10765,10843,10916,10919,10959,3972,3504,4735,10530,10533,10559,10686,4748,3959,3726,4106,3547,3549,3523,4732,4694,4740,10521,10524,10694,10789,10808,10815,10838,10846,10849,4252,3902,10689,3520,10654,10752,10902,3521,10681,10737,4731,10570,10602,3673,10831,3581,10953,10983,10992,10995,3613,4040,3977,10605,4741,10550,10941,3541,4343,4738,4723,3497,3501,4725,4724,4754,10852,4759,3969,3782,10905,10908,4757,4758,10745,4000,4755,10575,10578,10947,3970,4771,4797,4852,4856,4884,4899,4906,4908,4944,4949,4978,4984,5070,5096,5097,5112,5162,5163,5185,5186,5200,5204,5229,5235,5251,5255,5256,5257,5262,5263,5287,5312,5314,5315,5325,5330,5336,5372,5373,5381,5389,5393,5395,5398,5410,5412,5418,5423,5424,5437,5443,5446,5447,5451,5485,5499,5508,5510,5511,5514,5515,5516,5526,5528,5534,5535,5536,5542,5546,5547,5548,5556,5560,5561,5567,5580,5588,5601,5603,5611,5613,5614,5617,5621,5647,5661,5662,5677,5689,5711,5717,5741,5742,5746,5765,5773,5774,5779,5780,5790,5792,5804,5808,5817,5818,5820,5821,5837,5842,5851,5852,5863,5870,5884,5888,5891,5897,5898,5899,5902,5907,5943,5944,5947,5949,5951,5953,5954,5955,5957,5959,5961,5966,5973,5988,6002,6008,6009,6012,6023,6024,6031,6035,6037,6042,6050,6088,6103,6112,6115,6124,6128,6129,6130,6131,6132,6137,6142,6152,6158,6176,6180,6189,6218,6234,6263,6280,6281,6284,6299,6301,6303,6305,6320,6321,6324,6326,6329,6330,6345,6353,6354,6355,6357,6359,6396,6397,6402,6405,6411,6415,6449,6451,6453,6455,6464,6466,6469,6475,6477,6482,6485,6493,6501,6503,6504,6511,6534,6535,6536,6537,6538,6540,6547,6552,6586,6587,6590])).
% 163.57/163.23 cnf(11041,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x110411),x110411))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(11052,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x110521),f113(x110521)),x110522))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(11059,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x110591),f326(a112,x110591)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(11061,plain,
% 163.57/163.23 (P106(f326(f326(f235(a1),f326(f326(f3(a1),x110611),f77(a1))),x110611))),
% 163.57/163.23 inference(scs_inference,[],[4680,10493,10503,10516,10527,10599,10634,10637,10640,10742,4690,10726,3316,3481,10562,10565,10661,10664,3458,3357,3418,3353,3380,3364,3991,3451,4699,10553,3415,10626,4302,4160,4760,3436,3884,3820,3588,10645,10765,10843,10916,10919,10959,3972,3504,4735,10530,10533,10559,10686,10861,4748,3959,3726,4106,3547,3549,3523,4732,4694,4740,10521,10524,10694,10789,10808,10815,10838,10846,10849,10866,4252,3902,10689,3520,10654,10752,10902,10966,11041,3521,10681,10737,10971,4731,10570,10602,3673,10831,4744,3581,10953,10983,10992,10995,3613,4040,3977,10605,4741,10550,10941,10944,3541,4343,4738,4723,4726,3497,3501,4725,4724,4754,10852,4759,3969,3782,10905,10908,4757,4758,10745,4000,4755,10575,10578,10947,3970,4771,4797,4852,4856,4884,4899,4906,4908,4944,4949,4978,4984,5070,5096,5097,5112,5162,5163,5185,5186,5200,5204,5229,5235,5251,5255,5256,5257,5262,5263,5287,5312,5314,5315,5325,5330,5336,5372,5373,5381,5389,5393,5395,5398,5410,5412,5418,5423,5424,5437,5443,5446,5447,5451,5485,5499,5508,5510,5511,5514,5515,5516,5526,5528,5534,5535,5536,5542,5546,5547,5548,5556,5560,5561,5567,5580,5588,5601,5603,5611,5613,5614,5617,5621,5647,5661,5662,5677,5689,5711,5717,5741,5742,5746,5765,5773,5774,5779,5780,5790,5792,5804,5808,5817,5818,5820,5821,5837,5842,5851,5852,5863,5870,5884,5888,5891,5897,5898,5899,5902,5907,5943,5944,5947,5949,5951,5953,5954,5955,5957,5959,5961,5966,5973,5988,6002,6008,6009,6012,6023,6024,6031,6035,6037,6042,6050,6088,6103,6112,6115,6124,6128,6129,6130,6131,6132,6137,6142,6152,6158,6176,6180,6189,6218,6234,6263,6280,6281,6284,6299,6301,6303,6305,6320,6321,6324,6326,6329,6330,6345,6353,6354,6355,6357,6359,6396,6397,6402,6405,6411,6415,6449,6451,6453,6455,6464,6466,6469,6475,6477,6482,6485,6493,6501,6503,6504,6511,6534,6535,6536,6537,6538,6540,6547,6552,6586,6587,6590,6591,6592,6594,6595,6596,6597,6604,6636,6637,6646,6667,6668,6690,6692,6704,6705,6711,6741,6743,6758,6797,6800,6801,6855])).
% 163.57/163.23 cnf(11062,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x110621),x110621))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(11067,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x110671),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(11082,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x110821),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(11085,plain,
% 163.57/163.23 (~P106(f326(f326(f235(f928(x110851,a916)),x110852),f189(f928(x110851,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4752])).
% 163.57/163.23 cnf(11088,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x110881),x110881))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(11091,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x110911),x110911))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(11106,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x111061),x111061))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(11115,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x111151),x111152),f189(f928(x111151,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11122,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x111221),x111221))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(11125,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x111251,a916)),f326(f309(x111252,x111251,x111253),f326(f310(x111252,x111251,x111253),x111254))),x111254))),
% 163.57/163.23 inference(rename_variables,[],[4398])).
% 163.57/163.23 cnf(11134,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x111341,a916)),f326(f172(x111341),f326(f136(x111341,x111342),x111343))),f326(f172(x111341),x111343)))),
% 163.57/163.23 inference(rename_variables,[],[4169])).
% 163.57/163.23 cnf(11137,plain,
% 163.57/163.23 (E(f326(f309(x111371,x111371,f7(x111371)),x111372),x111372)),
% 163.57/163.23 inference(rename_variables,[],[3579])).
% 163.57/163.23 cnf(11142,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),f2(a920)),x111421))),
% 163.57/163.23 inference(rename_variables,[],[3541])).
% 163.57/163.23 cnf(11145,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x111451),x111451))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(11148,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x111481),x111481))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(11157,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x111571),x111571))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(11168,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x111681),f326(f326(f80(a920),x111681),x111681)))),
% 163.57/163.23 inference(rename_variables,[],[3782])).
% 163.57/163.23 cnf(11181,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x111811),x111811))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(11184,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x111841),x111841))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(11187,plain,
% 163.57/163.23 (~E(f326(a112,x111871),x111871)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11192,plain,
% 163.57/163.23 (P106(f326(f326(f328(x111921),x111922),f241(f928(x111921,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3673])).
% 163.57/163.23 cnf(11197,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x111971),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(11199,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x111991,a916)),x111992),f36(f928(x111991,a916),f326(f307(x111991),x111992))))),
% 163.57/163.23 inference(scs_inference,[],[4680,10493,10503,10516,10527,10599,10634,10637,10640,10742,10877,4690,10726,3316,3481,10562,10565,10661,10664,3458,3357,3418,3353,3380,3364,3991,3579,3451,4699,10553,3415,10626,4302,4160,4760,3436,3717,3884,3820,3588,10645,10765,10843,10916,10919,10959,11059,3972,3504,4735,10530,10533,10559,10686,10861,11067,11082,4748,3959,3726,4106,3547,3549,3523,4732,4694,4740,10521,10524,10694,10789,10808,10815,10838,10846,10849,10866,4264,4169,11134,3885,4252,3902,10689,4752,3520,10654,10752,10902,10966,11041,11088,11091,11122,11145,3521,10681,10737,10971,11062,3522,4731,10570,10602,11106,11148,3673,10831,10922,4744,11115,3581,10953,10983,10992,10995,3613,4040,3977,10605,4741,10550,10941,10944,3541,10986,4343,4738,4723,4726,3497,3501,4725,4724,4754,10852,4759,3969,3782,10905,10908,11001,11168,4757,4758,10745,4398,4000,4755,10575,10578,10947,3970,10911,4771,4797,4852,4856,4884,4899,4906,4908,4944,4949,4978,4984,5070,5096,5097,5112,5162,5163,5185,5186,5200,5204,5229,5235,5251,5255,5256,5257,5262,5263,5287,5312,5314,5315,5325,5330,5336,5372,5373,5381,5389,5393,5395,5398,5410,5412,5418,5423,5424,5437,5443,5446,5447,5451,5485,5499,5508,5510,5511,5514,5515,5516,5526,5528,5534,5535,5536,5542,5546,5547,5548,5556,5560,5561,5567,5580,5588,5601,5603,5611,5613,5614,5617,5621,5647,5661,5662,5677,5689,5711,5717,5741,5742,5746,5765,5773,5774,5779,5780,5790,5792,5804,5808,5817,5818,5820,5821,5837,5842,5851,5852,5863,5870,5884,5888,5891,5897,5898,5899,5902,5907,5943,5944,5947,5949,5951,5953,5954,5955,5957,5959,5961,5966,5973,5988,6002,6008,6009,6012,6023,6024,6031,6035,6037,6042,6050,6088,6103,6112,6115,6124,6128,6129,6130,6131,6132,6137,6142,6152,6158,6176,6180,6189,6218,6234,6263,6280,6281,6284,6299,6301,6303,6305,6320,6321,6324,6326,6329,6330,6345,6353,6354,6355,6357,6359,6396,6397,6402,6405,6411,6415,6449,6451,6453,6455,6464,6466,6469,6475,6477,6482,6485,6493,6501,6503,6504,6511,6534,6535,6536,6537,6538,6540,6547,6552,6586,6587,6590,6591,6592,6594,6595,6596,6597,6604,6636,6637,6646,6667,6668,6690,6692,6704,6705,6711,6741,6743,6758,6797,6800,6801,6855,6878,6920,6935,6942,6951,6952,6953,6954,6972,6973,6980,6992,6995,6997,6999,7000,7001,7003,7017,7028,7029,7030,7043,7098,7109,7111,7133,7134,7169,7176,7181,7211,7242,7298,7327,7384,7405,7414,7417,7477,7487,7547,7549,7563,7572,7573,7574,7591,7595,7597,7644,7654,7657,7672,7719,7721,7724])).
% 163.57/163.23 cnf(11212,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),f2(a920)),x112121))),
% 163.57/163.23 inference(rename_variables,[],[3541])).
% 163.57/163.23 cnf(11219,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x112191),x112191))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(11228,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x112281),x112282),f189(f928(x112281,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11236,plain,
% 163.57/163.23 (P106(f326(f326(f328(x112361),x112362),f241(f928(x112361,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3673])).
% 163.57/163.23 cnf(11239,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(f921(x112391),f921(x112391))),f326(f326(f251(f921(x112391),f921(x112391)),x112392),f113(x112391))),f145(x112391,x112393)))),
% 163.57/163.23 inference(rename_variables,[],[4760])).
% 163.57/163.23 cnf(11249,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x112491),x112492),f189(f928(x112491,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11252,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x112521),x112522),f189(f928(x112521,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11255,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x112551,a916)),x112552),f326(f326(f308(x112551),x112553),x112552)))),
% 163.57/163.23 inference(rename_variables,[],[3967])).
% 163.57/163.23 cnf(11258,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x112581),x112581))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(11261,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x112611,a916)),x112612),f326(f326(f308(x112611),x112613),x112612)))),
% 163.57/163.23 inference(rename_variables,[],[3967])).
% 163.57/163.23 cnf(11264,plain,
% 163.57/163.23 (E(f326(f309(x112641,x112641,f7(x112641)),x112642),x112642)),
% 163.57/163.23 inference(rename_variables,[],[3579])).
% 163.57/163.23 cnf(11279,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x112791,a916)),x112792),f326(f326(f308(x112791),x112793),x112792)))),
% 163.57/163.23 inference(rename_variables,[],[3967])).
% 163.57/163.23 cnf(11290,plain,
% 163.57/163.23 (~E(f326(a112,x112901),f2(a920))),
% 163.57/163.23 inference(rename_variables,[],[4690])).
% 163.57/163.23 cnf(11293,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x112931),f113(x112931)),x112932))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(11306,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x113061),f326(a112,x113061)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(11316,plain,
% 163.57/163.23 (~E(f326(f309(x113161,f928(x113161,a916),x113162),x113163),f326(f307(x113161),x113163))),
% 163.57/163.23 inference(rename_variables,[],[4742])).
% 163.57/163.23 cnf(11319,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x113191),x113192),f189(f928(x113191,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11322,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x113221),x113222),f189(f928(x113221,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11325,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(x113251,x113251)),f326(f326(f251(x113251,x113251),x113252),x113253)),f153(x113251,f113(f928(x113251,a920)))))),
% 163.57/163.23 inference(rename_variables,[],[4759])).
% 163.57/163.23 cnf(11328,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(x113281,x113281)),f326(f326(f251(x113281,x113281),x113282),x113283)),f153(x113281,f113(f928(x113281,a920)))))),
% 163.57/163.23 inference(rename_variables,[],[4759])).
% 163.57/163.23 cnf(11333,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x113331),x113332),f189(f928(x113331,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11336,plain,
% 163.57/163.23 (P106(f326(f326(f328(f927(x113361,x113361)),f326(f326(f251(x113361,x113361),x113362),x113362)),f306(x113361,x113363)))),
% 163.57/163.23 inference(rename_variables,[],[4160])).
% 163.57/163.23 cnf(11339,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x113391,a916)),x113392),f241(f928(x113391,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3902])).
% 163.57/163.23 cnf(11342,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x113421,a916)),f326(f172(x113421),f176(x113421,x113422,x113423))),f326(f172(x113421),x113422)))),
% 163.57/163.23 inference(rename_variables,[],[4218])).
% 163.57/163.23 cnf(11358,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x113581,a916)),f189(f928(x113581,a916))),x113582))),
% 163.57/163.23 inference(rename_variables,[],[3969])).
% 163.57/163.23 cnf(11369,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(f921(x113691),f921(x113691))),f326(f326(f251(f921(x113691),f921(x113691)),x113692),f113(x113691))),f147(x113691,x113693)))),
% 163.57/163.23 inference(rename_variables,[],[4761])).
% 163.57/163.23 cnf(11380,plain,
% 163.57/163.23 (~E(f326(a112,x113801),x113801)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11383,plain,
% 163.57/163.23 (~E(f326(a112,x113831),x113831)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11392,plain,
% 163.57/163.23 (E(f326(x113921,f326(f91(x113922,x113923,f241(f928(x113922,a916)),x113921),f326(x113921,x113924))),f326(x113921,x113924))),
% 163.57/163.23 inference(scs_inference,[],[4680,10493,10503,10516,10527,10599,10634,10637,10640,10742,10877,11187,11380,11383,4690,10726,10826,11290,3316,3367,3481,10562,10565,10661,10664,3458,3979,3357,3418,3353,3380,3364,3991,3579,11137,3451,4158,4699,10553,4742,3415,10626,4302,4160,11336,4760,11239,4761,3436,3717,3884,3820,4036,3588,10645,10765,10843,10916,10919,10959,11059,3972,3504,4735,10530,10533,10559,10686,10861,11067,11082,11197,4748,3959,3726,4106,3547,3549,3523,4732,4694,4740,10521,10524,10694,10789,10808,10815,10838,10846,10849,10866,11052,4264,4169,11134,4218,3885,4252,3902,10689,10786,4752,3520,10654,10752,10902,10966,11041,11088,11091,11122,11145,11181,11219,3521,10681,10737,10971,11062,3522,4731,10570,10602,11106,11148,3673,10831,10922,11192,11236,4744,11115,11228,11249,11252,11319,11322,3581,10953,10983,10992,10995,3613,4040,3977,10605,4741,10550,10941,10944,3541,10986,11142,4343,4738,4048,4723,4726,3497,3501,4725,4724,4754,10852,4759,11325,4124,3967,11255,11261,3969,10989,3674,3782,10905,10908,11001,11168,4757,4758,10745,4398,4000,4755,10575,10578,10947,3970,10911,4238,4771,4797,4852,4856,4884,4899,4906,4908,4944,4949,4978,4984,5070,5096,5097,5112,5162,5163,5185,5186,5200,5204,5229,5235,5251,5255,5256,5257,5262,5263,5287,5312,5314,5315,5325,5330,5336,5372,5373,5381,5389,5393,5395,5398,5410,5412,5418,5423,5424,5437,5443,5446,5447,5451,5485,5499,5508,5510,5511,5514,5515,5516,5526,5528,5534,5535,5536,5542,5546,5547,5548,5556,5560,5561,5567,5580,5588,5601,5603,5611,5613,5614,5617,5621,5647,5661,5662,5677,5689,5711,5717,5741,5742,5746,5765,5773,5774,5779,5780,5790,5792,5804,5808,5817,5818,5820,5821,5837,5842,5851,5852,5863,5870,5884,5888,5891,5897,5898,5899,5902,5907,5943,5944,5947,5949,5951,5953,5954,5955,5957,5959,5961,5966,5973,5988,6002,6008,6009,6012,6023,6024,6031,6035,6037,6042,6050,6088,6103,6112,6115,6124,6128,6129,6130,6131,6132,6137,6142,6152,6158,6176,6180,6189,6218,6234,6263,6280,6281,6284,6299,6301,6303,6305,6320,6321,6324,6326,6329,6330,6345,6353,6354,6355,6357,6359,6396,6397,6402,6405,6411,6415,6449,6451,6453,6455,6464,6466,6469,6475,6477,6482,6485,6493,6501,6503,6504,6511,6534,6535,6536,6537,6538,6540,6547,6552,6586,6587,6590,6591,6592,6594,6595,6596,6597,6604,6636,6637,6646,6667,6668,6690,6692,6704,6705,6711,6741,6743,6758,6797,6800,6801,6855,6878,6920,6935,6942,6951,6952,6953,6954,6972,6973,6980,6992,6995,6997,6999,7000,7001,7003,7017,7028,7029,7030,7043,7098,7109,7111,7133,7134,7169,7176,7181,7211,7242,7298,7327,7384,7405,7414,7417,7477,7487,7547,7549,7563,7572,7573,7574,7591,7595,7597,7644,7654,7657,7672,7719,7721,7724,7767,7768,7786,7856,7874,7898,7921,7933,7947,7958,7969,7970,7996,7998,8000,8009,8047,8058,8083,8110,8143,8175,8208,8247,8263,8265,8281,8282,8348,8359,8424,8448,8467,8494,8533,8534,8551,8590,8592,8594,8600,8615,8619,8634,8655,8663,8665,8675,8680,8684,8685,8686,8687,8688,8689,8708,8723,8724,8742,8744,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8835,8843])).
% 163.57/163.23 cnf(11395,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x113951,a916)),x113952),x113952))),
% 163.57/163.23 inference(rename_variables,[],[3816])).
% 163.57/163.23 cnf(11402,plain,
% 163.57/163.23 (~E(f326(a112,x114021),x114021)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11405,plain,
% 163.57/163.23 (~E(f326(a112,x114051),x114051)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11407,plain,
% 163.57/163.23 (~P27(x114071,f928(x114071,a916),x114072,x114073,f326(f307(x114071),x114073))),
% 163.57/163.23 inference(scs_inference,[],[4680,10493,10503,10516,10527,10599,10634,10637,10640,10742,10877,11187,11380,11383,11402,4690,10726,10826,11290,3316,3367,3481,10562,10565,10661,10664,3458,3979,3357,3418,3353,3380,3364,3991,3579,11137,3451,4158,4699,10553,4742,11316,3415,10626,4302,4160,11336,4760,11239,4761,3436,3717,3884,3820,4036,3588,10645,10765,10843,10916,10919,10959,11059,3972,3504,4735,10530,10533,10559,10686,10861,11067,11082,11197,4748,3959,3726,4106,3547,3549,3523,4732,4694,4740,10521,10524,10694,10789,10808,10815,10838,10846,10849,10866,11052,4264,4169,11134,4218,3885,4252,3902,10689,10786,4752,3520,10654,10752,10902,10966,11041,11088,11091,11122,11145,11181,11219,3521,10681,10737,10971,11062,3522,4731,10570,10602,11106,11148,3673,10831,10922,11192,11236,4744,11115,11228,11249,11252,11319,11322,3581,10953,10983,10992,10995,3613,4040,3977,10605,4741,10550,10941,10944,3541,10986,11142,4343,4738,4048,4723,4726,3497,3501,4725,4724,4754,10852,4759,11325,4124,3967,11255,11261,3816,3969,10989,3674,3782,10905,10908,11001,11168,4757,4758,10745,4398,4000,4755,10575,10578,10947,3970,10911,4238,4771,4797,4852,4856,4884,4899,4906,4908,4944,4949,4978,4984,5070,5096,5097,5112,5162,5163,5185,5186,5200,5204,5229,5235,5251,5255,5256,5257,5262,5263,5287,5312,5314,5315,5325,5330,5336,5372,5373,5381,5389,5393,5395,5398,5410,5412,5418,5423,5424,5437,5443,5446,5447,5451,5485,5499,5508,5510,5511,5514,5515,5516,5526,5528,5534,5535,5536,5542,5546,5547,5548,5556,5560,5561,5567,5580,5588,5601,5603,5611,5613,5614,5617,5621,5647,5661,5662,5677,5689,5711,5717,5741,5742,5746,5765,5773,5774,5779,5780,5790,5792,5804,5808,5817,5818,5820,5821,5837,5842,5851,5852,5863,5870,5884,5888,5891,5897,5898,5899,5902,5907,5943,5944,5947,5949,5951,5953,5954,5955,5957,5959,5961,5966,5973,5988,6002,6008,6009,6012,6023,6024,6031,6035,6037,6042,6050,6088,6103,6112,6115,6124,6128,6129,6130,6131,6132,6137,6142,6152,6158,6176,6180,6189,6218,6234,6263,6280,6281,6284,6299,6301,6303,6305,6320,6321,6324,6326,6329,6330,6345,6353,6354,6355,6357,6359,6396,6397,6402,6405,6411,6415,6449,6451,6453,6455,6464,6466,6469,6475,6477,6482,6485,6493,6501,6503,6504,6511,6534,6535,6536,6537,6538,6540,6547,6552,6586,6587,6590,6591,6592,6594,6595,6596,6597,6604,6636,6637,6646,6667,6668,6690,6692,6704,6705,6711,6741,6743,6758,6797,6800,6801,6855,6878,6920,6935,6942,6951,6952,6953,6954,6972,6973,6980,6992,6995,6997,6999,7000,7001,7003,7017,7028,7029,7030,7043,7098,7109,7111,7133,7134,7169,7176,7181,7211,7242,7298,7327,7384,7405,7414,7417,7477,7487,7547,7549,7563,7572,7573,7574,7591,7595,7597,7644,7654,7657,7672,7719,7721,7724,7767,7768,7786,7856,7874,7898,7921,7933,7947,7958,7969,7970,7996,7998,8000,8009,8047,8058,8083,8110,8143,8175,8208,8247,8263,8265,8281,8282,8348,8359,8424,8448,8467,8494,8533,8534,8551,8590,8592,8594,8600,8615,8619,8634,8655,8663,8665,8675,8680,8684,8685,8686,8687,8688,8689,8708,8723,8724,8742,8744,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8835,8843,8846,8863,8864,8874,8875,8883])).
% 163.57/163.23 cnf(11410,plain,
% 163.57/163.23 (P26(x114101,x114101,f7(x114101),x114102)),
% 163.57/163.23 inference(rename_variables,[],[3757])).
% 163.57/163.23 cnf(11415,plain,
% 163.57/163.23 (~E(f326(f309(x114151,f928(x114151,a916),x114152),x114153),f326(f307(x114151),x114153))),
% 163.57/163.23 inference(rename_variables,[],[4742])).
% 163.57/163.23 cnf(11420,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x114201,a916)),x114202),f241(f928(x114201,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3902])).
% 163.57/163.23 cnf(11436,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x114361),x114362),f189(f928(x114361,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11439,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x114391)),x114391))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(11444,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x114441),x114442),f189(f928(x114441,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11455,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x114551)),x114551))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(11458,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x114581),x114582),f189(f928(x114581,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11467,plain,
% 163.57/163.23 (P106(f326(f326(f328(f927(x114671,x114671)),f326(f326(f251(x114671,x114671),x114672),x114672)),f306(x114671,x114673)))),
% 163.57/163.23 inference(rename_variables,[],[4160])).
% 163.57/163.23 cnf(11470,plain,
% 163.57/163.23 (P106(f326(f326(f328(x114701),x114702),f241(f928(x114701,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3673])).
% 163.57/163.23 cnf(11473,plain,
% 163.57/163.23 (P106(f326(f326(f328(x114731),x114732),f241(f928(x114731,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3673])).
% 163.57/163.23 cnf(11480,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(f921(x114801),f921(x114801))),f326(f326(f251(f921(x114801),f921(x114801)),x114802),f113(x114801))),f145(x114801,x114803)))),
% 163.57/163.23 inference(rename_variables,[],[4760])).
% 163.57/163.23 cnf(11483,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(f921(x114831),f921(x114831))),f326(f326(f251(f921(x114831),f921(x114831)),x114832),f113(x114831))),f147(x114831,x114833)))),
% 163.57/163.23 inference(rename_variables,[],[4761])).
% 163.57/163.23 cnf(11486,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(f921(x114861),f921(x114861))),f326(f326(f251(f921(x114861),f921(x114861)),x114862),f113(x114861))),f157(x114861,x114863)))),
% 163.57/163.23 inference(rename_variables,[],[4762])).
% 163.57/163.23 cnf(11491,plain,
% 163.57/163.23 (~P106(f326(f326(f235(f928(x114911,a916)),x114912),f189(f928(x114911,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4752])).
% 163.57/163.23 cnf(11494,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x114941),x114942),f189(f928(x114941,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11499,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x114991,a916)),x114992),f241(f928(x114991,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3902])).
% 163.57/163.23 cnf(11506,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x115061),f113(x115061)),x115062))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(11511,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x115111),x115112),f189(f928(x115111,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11514,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(x115141,x115141)),f326(f326(f251(x115141,x115141),x115142),x115143)),f153(x115141,f113(f928(x115141,a920)))))),
% 163.57/163.23 inference(rename_variables,[],[4759])).
% 163.57/163.23 cnf(11517,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x115171,a916)),x115172),x115172))),
% 163.57/163.23 inference(rename_variables,[],[3816])).
% 163.57/163.23 cnf(11520,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x115201),x115202),f189(f928(x115201,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11523,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x115231,a916)),f189(f928(x115231,a916))),x115232))),
% 163.57/163.23 inference(rename_variables,[],[3969])).
% 163.57/163.23 cnf(11526,plain,
% 163.57/163.23 (P106(f326(f326(f328(f927(x115261,x115261)),f326(f326(f251(x115261,x115261),x115262),x115262)),f306(x115261,x115263)))),
% 163.57/163.23 inference(rename_variables,[],[4160])).
% 163.57/163.23 cnf(11544,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(f921(x115441),f921(x115441))),f326(f326(f251(f921(x115441),f921(x115441)),f113(x115441)),x115442)),f145(x115441,x115443)))),
% 163.57/163.23 inference(rename_variables,[],[4763])).
% 163.57/163.23 cnf(11552,plain,
% 163.57/163.23 (P106(f326(f326(f328(x115521),x115522),f241(f928(x115521,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3673])).
% 163.57/163.23 cnf(11557,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x115571,a916)),f189(f928(x115571,a916))),x115572))),
% 163.57/163.23 inference(rename_variables,[],[3969])).
% 163.57/163.23 cnf(11560,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x115601),x115602),f189(f928(x115601,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11563,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x115631,a916)),x115632),f241(f928(x115631,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3902])).
% 163.57/163.23 cnf(11567,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x115671,a916)),f326(f284(x115672,x115671,x115673),f189(f928(x115672,a916)))),x115674))),
% 163.57/163.23 inference(scs_inference,[],[3757,4680,10493,10503,10516,10527,10599,10634,10637,10640,10742,10877,11187,11380,11383,11402,4690,10726,10826,11290,3316,3367,3481,10562,10565,10661,10664,3458,3979,3357,3418,3353,3380,3364,3991,3579,11137,3451,4158,4699,10553,4742,11316,3624,3415,10626,4302,4160,11336,11467,4760,11239,11480,4761,11369,4762,11486,4763,4764,3436,3717,3884,3820,4036,3588,10645,10765,10843,10916,10919,10959,11059,11306,3972,3504,4735,10530,10533,10559,10686,10861,11067,11082,11197,4748,3959,3726,4106,3547,3549,3523,4732,4694,4740,10521,10524,10694,10789,10808,10815,10838,10846,10849,10866,11052,11293,4264,4169,11134,4218,3885,4252,3902,10689,10786,11339,11420,11499,4752,11085,11491,3520,10654,10752,10902,10966,11041,11088,11091,11122,11145,11181,11219,3521,10681,10737,10971,11062,3522,4731,10570,10602,11106,11148,3673,10831,10922,11192,11236,11470,11473,4744,11115,11228,11249,11252,11319,11322,11333,11436,11444,11458,11494,11511,11520,3581,10953,10983,10992,10995,3613,4040,3977,10605,4741,10550,10941,10944,11439,3541,10986,11142,4343,4738,4048,4723,4726,3497,3501,4725,4724,4754,10852,4759,11325,11328,4124,3967,11255,11261,3816,11395,3969,10989,11358,11523,11557,3674,3782,10905,10908,11001,11168,4757,4758,10745,4398,4306,4000,4755,10575,10578,10947,3970,10911,4238,4771,4797,4852,4856,4884,4899,4906,4908,4944,4949,4978,4984,5070,5096,5097,5112,5162,5163,5185,5186,5200,5204,5229,5235,5251,5255,5256,5257,5262,5263,5287,5312,5314,5315,5325,5330,5336,5372,5373,5381,5389,5393,5395,5398,5410,5412,5418,5423,5424,5437,5443,5446,5447,5451,5485,5499,5508,5510,5511,5514,5515,5516,5526,5528,5534,5535,5536,5542,5546,5547,5548,5556,5560,5561,5567,5580,5588,5601,5603,5611,5613,5614,5617,5621,5647,5661,5662,5677,5689,5711,5717,5741,5742,5746,5765,5773,5774,5779,5780,5790,5792,5804,5808,5817,5818,5820,5821,5837,5842,5851,5852,5863,5870,5884,5888,5891,5897,5898,5899,5902,5907,5943,5944,5947,5949,5951,5953,5954,5955,5957,5959,5961,5966,5973,5988,6002,6008,6009,6012,6023,6024,6031,6035,6037,6042,6050,6088,6103,6112,6115,6124,6128,6129,6130,6131,6132,6137,6142,6152,6158,6176,6180,6189,6218,6234,6263,6280,6281,6284,6299,6301,6303,6305,6320,6321,6324,6326,6329,6330,6345,6353,6354,6355,6357,6359,6396,6397,6402,6405,6411,6415,6449,6451,6453,6455,6464,6466,6469,6475,6477,6482,6485,6493,6501,6503,6504,6511,6534,6535,6536,6537,6538,6540,6547,6552,6586,6587,6590,6591,6592,6594,6595,6596,6597,6604,6636,6637,6646,6667,6668,6690,6692,6704,6705,6711,6741,6743,6758,6797,6800,6801,6855,6878,6920,6935,6942,6951,6952,6953,6954,6972,6973,6980,6992,6995,6997,6999,7000,7001,7003,7017,7028,7029,7030,7043,7098,7109,7111,7133,7134,7169,7176,7181,7211,7242,7298,7327,7384,7405,7414,7417,7477,7487,7547,7549,7563,7572,7573,7574,7591,7595,7597,7644,7654,7657,7672,7719,7721,7724,7767,7768,7786,7856,7874,7898,7921,7933,7947,7958,7969,7970,7996,7998,8000,8009,8047,8058,8083,8110,8143,8175,8208,8247,8263,8265,8281,8282,8348,8359,8424,8448,8467,8494,8533,8534,8551,8590,8592,8594,8600,8615,8619,8634,8655,8663,8665,8675,8680,8684,8685,8686,8687,8688,8689,8708,8723,8724,8742,8744,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8835,8843,8846,8863,8864,8874,8875,8883,8902,8915,8919,8940,8962,8963,8966,8967,8973,8982,8983,9006,9017,9027,9028,9029,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9298,9306,9334,9335,9403,9437,9443,9453,9454,9455,9464,9494,9510,9514,9518,9540,9541,9568,9632,9637,9640,9675,9676,9677,9705,9706,9723,9744,9750,9762,9787])).
% 163.57/163.23 cnf(11568,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x115681,a916)),f189(f928(x115681,a916))),x115682))),
% 163.57/163.23 inference(rename_variables,[],[3969])).
% 163.57/163.23 cnf(11581,plain,
% 163.57/163.23 (P106(f326(f241(f928(x115811,a916)),x115812))),
% 163.57/163.23 inference(rename_variables,[],[3581])).
% 163.57/163.23 cnf(11589,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(f921(x115891),f921(x115891))),f326(f326(f251(f921(x115891),f921(x115891)),x115892),f113(x115891))),f145(x115891,x115893)))),
% 163.57/163.23 inference(rename_variables,[],[4760])).
% 163.57/163.23 cnf(11592,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(f921(x115921),f921(x115921))),f326(f326(f251(f921(x115921),f921(x115921)),x115922),f113(x115921))),f147(x115921,x115923)))),
% 163.57/163.23 inference(rename_variables,[],[4761])).
% 163.57/163.23 cnf(11595,plain,
% 163.57/163.23 (~E(f326(f326(f151(x115951),x115952),x115953),x115953)),
% 163.57/163.23 inference(rename_variables,[],[4699])).
% 163.57/163.23 cnf(11598,plain,
% 163.57/163.23 (~E(f326(a112,x115981),x115981)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11601,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x116011),x116012),f189(f928(x116011,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11606,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x116061),x116062),f189(f928(x116061,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11609,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x116091),x116092),f189(f928(x116091,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11612,plain,
% 163.57/163.23 (P106(f326(f326(f328(f927(f921(x116121),f921(x116121))),f326(f326(f251(f921(x116121),f921(x116121)),x116122),x116122)),f158(x116121,f306(x116121,x116123))))),
% 163.57/163.23 inference(rename_variables,[],[4295])).
% 163.57/163.23 cnf(11615,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(f921(x116151),f921(x116151))),f326(f326(f251(f921(x116151),f921(x116151)),x116152),f113(x116151))),f145(x116151,x116153)))),
% 163.57/163.23 inference(rename_variables,[],[4760])).
% 163.57/163.23 cnf(11625,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(x116251,x116251)),f326(f326(f251(x116251,x116251),x116252),x116253)),f153(x116251,f113(f928(x116251,a920)))))),
% 163.57/163.23 inference(rename_variables,[],[4759])).
% 163.57/163.23 cnf(11628,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x116281),x116282),f189(f928(x116281,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11631,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x116311),x116312),f189(f928(x116311,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11634,plain,
% 163.57/163.23 (P106(f326(f326(f328(x116341),x116342),f241(f928(x116341,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3673])).
% 163.57/163.23 cnf(11637,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x116371),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(11642,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(x116421,x116421)),f326(f326(f251(x116421,x116421),x116422),x116423)),f153(x116421,f113(f928(x116421,a920)))))),
% 163.57/163.23 inference(rename_variables,[],[4759])).
% 163.57/163.23 cnf(11651,plain,
% 163.57/163.23 (~E(f326(f309(x116511,f928(x116511,a916),x116512),x116513),f326(f307(x116511),x116513))),
% 163.57/163.23 inference(rename_variables,[],[4742])).
% 163.57/163.23 cnf(11654,plain,
% 163.57/163.23 (~E(f326(f309(x116541,f928(x116541,a916),x116542),x116543),f326(f307(x116541),x116543))),
% 163.57/163.23 inference(rename_variables,[],[4742])).
% 163.57/163.23 cnf(11659,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(f921(x116591),f921(x116591))),f326(f326(f251(f921(x116591),f921(x116591)),x116592),f113(x116591))),f145(x116591,x116593)))),
% 163.57/163.23 inference(rename_variables,[],[4760])).
% 163.57/163.23 cnf(11665,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(f921(x116651),f921(x116651))),f326(f326(f251(f921(x116651),f921(x116651)),x116652),f113(x116651))),f145(x116651,x116653)))),
% 163.57/163.23 inference(rename_variables,[],[4760])).
% 163.57/163.23 cnf(11668,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x116681),x116682),f189(f928(x116681,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11670,plain,
% 163.57/163.23 (P106(f326(f326(f328(f927(x116701,x116702)),f326(f326(f251(x116701,x116702),f326(x116703,x116704)),f326(x116705,x116704))),f326(f309(f927(x116706,x116706),f927(x116701,x116702),f257(x116706,x116701,x116706,x116702,x116703,x116705)),f306(x116706,x116707))))),
% 163.57/163.23 inference(scs_inference,[],[3757,4680,10493,10503,10516,10527,10599,10634,10637,10640,10742,10877,11187,11380,11383,11402,11405,4690,10726,10826,11290,3316,3367,3481,10562,10565,10661,10664,3458,3979,3357,3418,3353,3380,3364,3991,3579,11137,3451,4158,4699,10553,10723,4742,11316,11415,11651,3624,3415,10626,4302,4160,11336,11467,11526,4760,11239,11480,11589,11615,11659,4761,11369,11483,11592,4762,11486,4763,11544,4764,3436,3717,3884,3820,4036,3588,10645,10765,10843,10916,10919,10959,11059,11306,3972,3504,4735,10530,10533,10559,10686,10861,11067,11082,11197,4748,3959,3726,4106,3547,3549,3523,4732,4694,4295,11612,4740,10521,10524,10694,10789,10808,10815,10838,10846,10849,10866,11052,11293,4264,4169,11134,4218,3885,4252,3902,10689,10786,11339,11420,11499,4752,11085,11491,3520,10654,10752,10902,10966,11041,11088,11091,11122,11145,11181,11219,3521,10681,10737,10971,11062,3522,4731,10570,10602,11106,11148,3673,10831,10922,11192,11236,11470,11473,11552,4744,11115,11228,11249,11252,11319,11322,11333,11436,11444,11458,11494,11511,11520,11560,11601,11606,11609,11628,11631,3581,10953,10983,10992,10995,10998,3613,4040,3977,10605,4741,10550,10941,10944,11439,3541,10986,11142,4343,4738,4048,4723,4726,3497,3501,4725,4724,4754,10852,4759,11325,11328,11514,11625,4124,3967,11255,11261,3816,11395,3969,10989,11358,11523,11557,3674,3782,10905,10908,11001,11168,4757,4758,10745,4398,4306,4000,4755,10575,10578,10947,3970,10911,4238,4771,4797,4852,4856,4884,4899,4906,4908,4944,4949,4978,4984,5070,5096,5097,5112,5162,5163,5185,5186,5200,5204,5229,5235,5251,5255,5256,5257,5262,5263,5287,5312,5314,5315,5325,5330,5336,5372,5373,5381,5389,5393,5395,5398,5410,5412,5418,5423,5424,5437,5443,5446,5447,5451,5485,5499,5508,5510,5511,5514,5515,5516,5526,5528,5534,5535,5536,5542,5546,5547,5548,5556,5560,5561,5567,5580,5588,5601,5603,5611,5613,5614,5617,5621,5647,5661,5662,5677,5689,5711,5717,5741,5742,5746,5765,5773,5774,5779,5780,5790,5792,5804,5808,5817,5818,5820,5821,5837,5842,5851,5852,5863,5870,5884,5888,5891,5897,5898,5899,5902,5907,5943,5944,5947,5949,5951,5953,5954,5955,5957,5959,5961,5966,5973,5988,6002,6008,6009,6012,6023,6024,6031,6035,6037,6042,6050,6088,6103,6112,6115,6124,6128,6129,6130,6131,6132,6137,6142,6152,6158,6176,6180,6189,6218,6234,6263,6280,6281,6284,6299,6301,6303,6305,6320,6321,6324,6326,6329,6330,6345,6353,6354,6355,6357,6359,6396,6397,6402,6405,6411,6415,6449,6451,6453,6455,6464,6466,6469,6475,6477,6482,6485,6493,6501,6503,6504,6511,6534,6535,6536,6537,6538,6540,6547,6552,6586,6587,6590,6591,6592,6594,6595,6596,6597,6604,6636,6637,6646,6667,6668,6690,6692,6704,6705,6711,6741,6743,6758,6797,6800,6801,6855,6878,6920,6935,6942,6951,6952,6953,6954,6972,6973,6980,6992,6995,6997,6999,7000,7001,7003,7017,7028,7029,7030,7043,7098,7109,7111,7133,7134,7169,7176,7181,7211,7242,7298,7327,7384,7405,7414,7417,7477,7487,7547,7549,7563,7572,7573,7574,7591,7595,7597,7644,7654,7657,7672,7719,7721,7724,7767,7768,7786,7856,7874,7898,7921,7933,7947,7958,7969,7970,7996,7998,8000,8009,8047,8058,8083,8110,8143,8175,8208,8247,8263,8265,8281,8282,8348,8359,8424,8448,8467,8494,8533,8534,8551,8590,8592,8594,8600,8615,8619,8634,8655,8663,8665,8675,8680,8684,8685,8686,8687,8688,8689,8708,8723,8724,8742,8744,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8835,8843,8846,8863,8864,8874,8875,8883,8902,8915,8919,8940,8962,8963,8966,8967,8973,8982,8983,9006,9017,9027,9028,9029,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9298,9306,9334,9335,9403,9437,9443,9453,9454,9455,9464,9494,9510,9514,9518,9540,9541,9568,9632,9637,9640,9675,9676,9677,9705,9706,9723,9744,9750,9762,9787,9808,9817,9818,9819,9820,9835,9837,9842,9872,9873,9879,9880,9924,9925,9936,9937,9961,9979,9981,9982,9990,9995,10002,10026,10061,10063,10067,10117,10153,10163,10165,10169,10170,10172,10181,10182,10202,10207,10302])).
% 163.57/163.23 cnf(11673,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x116731),x116732),f189(f928(x116731,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11676,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x116761),x116762),f189(f928(x116761,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11679,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x116791),x116792),f189(f928(x116791,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11682,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x116821),x116822),f189(f928(x116821,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11685,plain,
% 163.57/163.23 (P106(f326(f326(f328(x116851),f326(x116852,x116853)),f326(f309(x116854,x116851,x116852),f241(f928(x116854,a916)))))),
% 163.57/163.23 inference(rename_variables,[],[4124])).
% 163.57/163.23 cnf(11688,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(x116881,x116881)),f326(f326(f251(x116881,x116881),x116882),x116883)),f153(x116881,f113(f928(x116881,a920)))))),
% 163.57/163.23 inference(rename_variables,[],[4759])).
% 163.57/163.23 cnf(11694,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x116941),x116941))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(11700,plain,
% 163.57/163.23 (E(f114(x117001,f113(x117001)),f113(x117001))),
% 163.57/163.23 inference(rename_variables,[],[3367])).
% 163.57/163.23 cnf(11703,plain,
% 163.57/163.23 (~E(f326(a112,x117031),x117031)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11710,plain,
% 163.57/163.23 (~E(f326(a112,x117101),x117101)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11713,plain,
% 163.57/163.23 (E(f326(f283(x117131,x117131),f262(x117131,x117132)),x117132)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(11716,plain,
% 163.57/163.23 (E(f326(f283(x117161,x117161),f262(x117161,x117162)),x117162)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(11722,plain,
% 163.57/163.23 (~E(f326(a112,x117221),x117221)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11727,plain,
% 163.57/163.23 (~E(f326(f326(f79(a1),x117271),x117271),a97)),
% 163.57/163.23 inference(rename_variables,[],[4697])).
% 163.57/163.23 cnf(11734,plain,
% 163.57/163.23 (E(f326(f326(f3(a920),f2(a920)),x117341),f2(a920))),
% 163.57/163.23 inference(rename_variables,[],[3437])).
% 163.57/163.23 cnf(11737,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x117371),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(11744,plain,
% 163.57/163.23 (E(f326(f326(f79(a1),f326(f326(f80(a1),x117441),f326(f326(f35(a1),x117442),x117441))),f44(a1,x117442,x117441)),x117442)),
% 163.57/163.23 inference(rename_variables,[],[4073])).
% 163.57/163.23 cnf(11768,plain,
% 163.57/163.23 (~E(f326(a112,x117681),x117681)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11771,plain,
% 163.57/163.23 (~E(f326(a112,x117711),x117711)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11797,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x117971),f113(x117971)),x117972))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(11803,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),f2(a920)),f326(a112,x118031)))),
% 163.57/163.23 inference(rename_variables,[],[3600])).
% 163.57/163.23 cnf(11804,plain,
% 163.57/163.23 (~E(f326(a112,x118041),x118041)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11807,plain,
% 163.57/163.23 (P106(f326(f326(f328(x118071),x118072),f241(f928(x118071,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3673])).
% 163.57/163.23 cnf(11819,plain,
% 163.57/163.23 (~E(f326(a112,x118191),x118191)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11822,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x118221),x118221))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(11829,plain,
% 163.57/163.23 (P106(f326(f65(x118291,x118292,x118293,x118294,f189(f928(x118291,a916))),x118294))),
% 163.57/163.23 inference(rename_variables,[],[4438])).
% 163.57/163.23 cnf(11830,plain,
% 163.57/163.23 (E(f326(f283(x118301,x118301),f262(x118301,x118302)),x118302)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(11843,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),f326(f326(f79(a920),x118431),x118432)),x118432))),
% 163.57/163.23 inference(rename_variables,[],[4755])).
% 163.57/163.23 cnf(11846,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a1),f326(f100(a1),x118461)),f2(a1)))),
% 163.57/163.23 inference(rename_variables,[],[4748])).
% 163.57/163.23 cnf(11862,plain,
% 163.57/163.23 (~E(f326(f326(f101(a920),f326(a112,x118621)),x118621),f326(a112,x118621))),
% 163.57/163.23 inference(scs_inference,[],[3122,3757,4680,10493,10503,10516,10527,10599,10634,10637,10640,10742,10877,11187,11380,11383,11402,11405,11598,11703,11710,11722,11768,11771,11804,3441,4690,10726,10826,11290,3130,3136,3140,3141,3144,3148,3163,3168,3174,3189,3194,3195,3196,3203,3258,3267,3268,3282,3299,3316,4678,3367,11700,3481,10562,10565,10661,10664,10980,11713,11716,3458,3979,3357,4073,11744,3418,3353,3380,4409,3364,3991,3579,11137,3451,4158,4699,10553,10723,4742,11316,11415,11651,11654,3624,3415,10626,10956,3416,3437,11734,4302,4160,11336,11467,11526,4760,11239,11480,11589,11615,11659,11665,4761,11369,11483,11592,4762,11486,4763,11544,4764,3436,3717,3884,4697,3820,4036,3588,10645,10765,10843,10916,10919,10959,11059,11306,3972,3504,3600,4735,10530,10533,10559,10686,10861,11067,11082,11197,11637,11737,4748,3959,3726,4106,3547,3549,3523,4732,4694,3710,4749,4295,11612,3842,4740,10521,10524,10694,10789,10808,10815,10838,10846,10849,10866,11052,11293,11506,4264,4169,11134,4218,3885,4252,3902,10689,10786,11339,11420,11499,4752,11085,11491,3520,10654,10752,10902,10966,11041,11088,11091,11122,11145,11181,11219,11258,3521,10681,10737,10971,11062,11184,3522,4731,10570,10602,11106,11148,3673,10831,10922,11192,11236,11470,11473,11552,11634,4744,11115,11228,11249,11252,11319,11322,11333,11436,11444,11458,11494,11511,11520,11560,11601,11606,11609,11628,11631,11668,11673,11676,11679,3581,10953,10983,10992,10995,10998,3613,4040,3977,10605,4741,10550,10941,10944,11439,11455,3541,10986,11142,4343,4738,4048,4723,4726,3497,3501,4725,4724,4438,4754,10852,10855,4759,11325,11328,11514,11625,11642,4124,3967,11255,11261,3816,11395,3969,10989,11358,11523,11557,3674,3782,10905,10908,11001,11168,4757,4758,10745,4398,4306,4000,4755,10575,10578,10947,10950,3970,10911,4238,4771,4797,4852,4856,4884,4899,4906,4908,4944,4949,4978,4984,5070,5096,5097,5112,5162,5163,5185,5186,5200,5204,5229,5235,5251,5255,5256,5257,5262,5263,5287,5312,5314,5315,5325,5330,5336,5372,5373,5381,5389,5393,5395,5398,5410,5412,5418,5423,5424,5437,5443,5446,5447,5451,5485,5499,5508,5510,5511,5514,5515,5516,5526,5528,5534,5535,5536,5542,5546,5547,5548,5556,5560,5561,5567,5580,5588,5601,5603,5611,5613,5614,5617,5621,5647,5661,5662,5677,5689,5711,5717,5741,5742,5746,5765,5773,5774,5779,5780,5790,5792,5804,5808,5817,5818,5820,5821,5837,5842,5851,5852,5863,5870,5884,5888,5891,5897,5898,5899,5902,5907,5943,5944,5947,5949,5951,5953,5954,5955,5957,5959,5961,5966,5973,5988,6002,6008,6009,6012,6023,6024,6031,6035,6037,6042,6050,6088,6103,6112,6115,6124,6128,6129,6130,6131,6132,6137,6142,6152,6158,6176,6180,6189,6218,6234,6263,6280,6281,6284,6299,6301,6303,6305,6320,6321,6324,6326,6329,6330,6345,6353,6354,6355,6357,6359,6396,6397,6402,6405,6411,6415,6449,6451,6453,6455,6464,6466,6469,6475,6477,6482,6485,6493,6501,6503,6504,6511,6534,6535,6536,6537,6538,6540,6547,6552,6586,6587,6590,6591,6592,6594,6595,6596,6597,6604,6636,6637,6646,6667,6668,6690,6692,6704,6705,6711,6741,6743,6758,6797,6800,6801,6855,6878,6920,6935,6942,6951,6952,6953,6954,6972,6973,6980,6992,6995,6997,6999,7000,7001,7003,7017,7028,7029,7030,7043,7098,7109,7111,7133,7134,7169,7176,7181,7211,7242,7298,7327,7384,7405,7414,7417,7477,7487,7547,7549,7563,7572,7573,7574,7591,7595,7597,7644,7654,7657,7672,7719,7721,7724,7767,7768,7786,7856,7874,7898,7921,7933,7947,7958,7969,7970,7996,7998,8000,8009,8047,8058,8083,8110,8143,8175,8208,8247,8263,8265,8281,8282,8348,8359,8424,8448,8467,8494,8533,8534,8551,8590,8592,8594,8600,8615,8619,8634,8655,8663,8665,8675,8680,8684,8685,8686,8687,8688,8689,8708,8723,8724,8742,8744,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8835,8843,8846,8863,8864,8874,8875,8883,8902,8915,8919,8940,8962,8963,8966,8967,8973,8982,8983,9006,9017,9027,9028,9029,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9298,9306,9334,9335,9403,9437,9443,9453,9454,9455,9464,9494,9510,9514,9518,9540,9541,9568,9632,9637,9640,9675,9676,9677,9705,9706,9723,9744,9750,9762,9787,9808,9817,9818,9819,9820,9835,9837,9842,9872,9873,9879,9880,9924,9925,9936,9937,9961,9979,9981,9982,9990,9995,10002,10026,10061,10063,10067,10117,10153,10163,10165,10169,10170,10172,10181,10182,10202,10207,10302,10391,10392,10393,10394,10457,10475,2,10,11,8872,4784,4785,4803,4845,4847,4848,4877,4878,4888,4933,4935,4983,5113,5114,5127,5151,5207,5208,5214,5215,5217,5219,5228,5231,5232,5240,5253,5254,5260,5281,5282,5300,5305,5306,5307,5308,5313,5321,5324,5331,5386,5391,5392,5397,5404,5434,5444,5449,5465,5482,5484,5491,5492,5493,5504,5522,5524,5525,5532,5539,5540,5552,5553,5554,5555,5557,5558,5563,5564])).
% 163.57/163.23 cnf(11869,plain,
% 163.57/163.23 (E(f326(f283(x118691,x118691),f262(x118691,x118692)),x118692)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(11874,plain,
% 163.57/163.23 (E(f326(f283(x118741,x118741),f262(x118741,x118742)),x118742)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(11877,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a1),f326(f100(a1),x118771)),f2(a1)))),
% 163.57/163.23 inference(rename_variables,[],[4748])).
% 163.57/163.23 cnf(11882,plain,
% 163.57/163.23 (~E(f326(a112,x118821),x118821)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11891,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x118911),f113(x118911)),x118912))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(11914,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a1),f326(f100(a1),x119141)),f2(a1)))),
% 163.57/163.23 inference(rename_variables,[],[4748])).
% 163.57/163.23 cnf(11917,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x119171),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(11918,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x119181),f326(a112,x119181)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(11921,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a1),f326(f100(a1),x119211)),f2(a1)))),
% 163.57/163.23 inference(rename_variables,[],[4748])).
% 163.57/163.23 cnf(11924,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x119241),x119242),f189(f928(x119241,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(11925,plain,
% 163.57/163.23 (P106(f326(f326(f328(f928(x119251,a916)),x119252),f326(f307(x119251),x119252)))),
% 163.57/163.23 inference(rename_variables,[],[3885])).
% 163.57/163.23 cnf(11940,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x119401)),x119401))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(11941,plain,
% 163.57/163.23 (~E(f326(a112,x119411),x119411)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11944,plain,
% 163.57/163.23 (E(f326(f283(x119441,x119441),f262(x119441,x119442)),x119442)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(11954,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),f326(f326(f79(a920),x119541),x119542)),x119541))),
% 163.57/163.23 inference(rename_variables,[],[4756])).
% 163.57/163.23 cnf(11957,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a1),f326(f100(a1),x119571)),f2(a1)))),
% 163.57/163.23 inference(rename_variables,[],[4748])).
% 163.57/163.23 cnf(11960,plain,
% 163.57/163.23 (~E(f326(a112,x119601),x119601)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(11974,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a1),f2(a1)),f326(f78(a1),f326(f100(a1),f326(a112,x119741)))))),
% 163.57/163.23 inference(rename_variables,[],[4757])).
% 163.57/163.23 cnf(11977,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),f326(f326(f3(a920),x119771),x119772)),f326(a112,x119771)))),
% 163.57/163.23 inference(rename_variables,[],[3972])).
% 163.57/163.23 cnf(11980,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),f44(a920,x119801,x119802)),x119801))),
% 163.57/163.23 inference(rename_variables,[],[3977])).
% 163.57/163.23 cnf(11986,plain,
% 163.57/163.23 (E(f326(f283(x119861,x119861),f262(x119861,x119862)),x119862)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(11991,plain,
% 163.57/163.23 (E(f326(f326(f134(x119911),f169(x119911,x119912,x119913)),f169(x119911,x119914,x119913)),f326(f326(f134(x119911),f169(x119911,x119914,x119913)),f169(x119911,x119912,x119913)))),
% 163.57/163.23 inference(rename_variables,[],[4087])).
% 163.57/163.23 cnf(11996,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x119961)),x119961))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(12005,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x120051),x120051))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12008,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),f44(a920,x120081,x120082)),x120081))),
% 163.57/163.23 inference(rename_variables,[],[3977])).
% 163.57/163.23 cnf(12009,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),f2(a920)),x120091))),
% 163.57/163.23 inference(rename_variables,[],[3541])).
% 163.57/163.23 cnf(12026,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x120261),x120261))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12029,plain,
% 163.57/163.23 (P106(f326(f326(f328(x120291),f326(x120292,x120293)),f326(f309(x120294,x120291,x120292),f241(f928(x120294,a916)))))),
% 163.57/163.23 inference(rename_variables,[],[4124])).
% 163.57/163.23 cnf(12030,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x120301)),x120301))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(12033,plain,
% 163.57/163.23 (P106(f326(f326(f328(x120331),f326(x120332,x120333)),f326(f309(x120334,x120331,x120332),f241(f928(x120334,a916)))))),
% 163.57/163.23 inference(rename_variables,[],[4124])).
% 163.57/163.23 cnf(12034,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),f326(f326(f79(a920),x120341),x120342)),x120342))),
% 163.57/163.23 inference(rename_variables,[],[4755])).
% 163.57/163.23 cnf(12042,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x120421),f113(x120421)),x120422))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(12045,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x120451),x120451))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12053,plain,
% 163.57/163.23 (~P37(x120531,x120532,f113(x120531))),
% 163.57/163.23 inference(rename_variables,[],[4710])).
% 163.57/163.23 cnf(12056,plain,
% 163.57/163.23 (P106(f326(f326(f328(x120561),x120562),f241(f928(x120561,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3673])).
% 163.57/163.23 cnf(12057,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x120571)),x120571))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(12070,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x120701),x120702),f189(f928(x120701,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12073,plain,
% 163.57/163.23 (E(f326(f326(f18(x120731,x120732),x120733),x120734),x120733)),
% 163.57/163.23 inference(rename_variables,[],[3511])).
% 163.57/163.23 cnf(12091,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x120911),x120911))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12094,plain,
% 163.57/163.23 (P106(f326(f60(x120941),f326(f172(x120941),x120942)))),
% 163.57/163.23 inference(rename_variables,[],[3560])).
% 163.57/163.23 cnf(12097,plain,
% 163.57/163.23 (P106(f326(f60(x120971),f326(f172(x120971),x120972)))),
% 163.57/163.23 inference(rename_variables,[],[3560])).
% 163.57/163.23 cnf(12100,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x121001))),f326(f100(a1),x121002)))),
% 163.57/163.23 inference(rename_variables,[],[4001])).
% 163.57/163.23 cnf(12103,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x121031),x121032),f189(f928(x121031,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12119,plain,
% 163.57/163.23 (~P106(f326(f326(f328(a920),x121191),f326(f281(a920),f2(a920))))),
% 163.57/163.23 inference(scs_inference,[],[3122,3757,4709,4710,4680,10493,10503,10516,10527,10599,10634,10637,10640,10742,10877,11187,11380,11383,11402,11405,11598,11703,11710,11722,11768,11771,11804,11819,11882,11941,3441,4690,10726,10826,11290,3129,3130,3133,3136,3137,3140,3141,3144,3148,3149,3163,3164,3168,3174,3189,3194,3195,3196,3203,3215,3258,3267,3268,3270,3272,3282,3299,3316,4678,4087,11991,3367,11700,3481,10562,10565,10661,10664,10980,11713,11716,11830,11869,11874,11944,3458,3979,3357,3719,4073,11744,3418,3353,3380,3376,4409,3364,3365,3991,3579,11137,3451,4158,4699,10553,10723,3511,12073,4742,11316,11415,11651,11654,3624,3415,10626,10956,3416,3678,3437,11734,4302,4160,11336,11467,11526,4760,11239,11480,11589,11615,11659,11665,4761,11369,11483,11592,4762,11486,4763,11544,4764,3436,3717,3884,4575,4576,4697,3820,4036,3588,10645,10765,10843,10916,10919,10959,11059,11306,11918,3972,11977,3504,3600,11803,4735,10530,10533,10559,10686,10861,11067,11082,11197,11637,11737,11917,4748,11846,11877,11914,11921,3959,3726,4106,3547,3549,3523,4732,4694,3710,4749,4295,11612,3842,3560,12094,4740,10521,10524,10694,10789,10808,10815,10838,10846,10849,10866,11052,11293,11506,11797,11891,4264,4169,11134,4218,3885,4252,3902,10689,10786,11339,11420,11499,4752,11085,11491,3520,10654,10752,10902,10966,11041,11088,11091,11122,11145,11181,11219,11258,11694,12045,3521,10681,10737,10971,11062,11184,3522,3596,4731,10570,10602,11106,11148,11157,12005,3673,10831,10922,11192,11236,11470,11473,11552,11634,11807,4744,11115,11228,11249,11252,11319,11322,11333,11436,11444,11458,11494,11511,11520,11560,11601,11606,11609,11628,11631,11668,11673,11676,11679,11682,11924,12070,3581,10953,10983,10992,10995,10998,3620,3613,4040,3977,10605,11980,4741,10550,10941,10944,11439,11455,11940,11996,12030,12057,3541,10986,11142,11212,4001,4343,4738,4048,4723,4726,3497,3501,4725,4724,3832,4438,4754,10852,10855,4759,11325,11328,11514,11625,11642,4124,11685,12029,3967,11255,11261,3816,11395,3969,10989,11358,11523,11557,3674,3782,10905,10908,11001,11168,4757,11974,4758,10745,4398,4306,4000,3945,4755,10575,10578,10947,10950,11843,4756,11954,3970,10911,4238,4771,4797,4852,4856,4884,4899,4906,4908,4944,4949,4978,4984,5070,5096,5097,5112,5162,5163,5185,5186,5200,5204,5229,5235,5251,5255,5256,5257,5262,5263,5287,5312,5314,5315,5325,5330,5336,5372,5373,5381,5389,5393,5395,5398,5410,5412,5418,5423,5424,5437,5443,5446,5447,5451,5485,5499,5508,5510,5511,5514,5515,5516,5526,5528,5534,5535,5536,5542,5546,5547,5548,5556,5560,5561,5567,5580,5588,5601,5603,5611,5613,5614,5617,5621,5647,5661,5662,5677,5689,5711,5717,5741,5742,5746,5765,5773,5774,5779,5780,5790,5792,5804,5808,5817,5818,5820,5821,5837,5842,5851,5852,5863,5870,5884,5888,5891,5897,5898,5899,5902,5907,5943,5944,5947,5949,5951,5953,5954,5955,5957,5959,5961,5966,5973,5988,6002,6008,6009,6012,6023,6024,6031,6035,6037,6042,6050,6088,6103,6112,6115,6124,6128,6129,6130,6131,6132,6137,6142,6152,6158,6176,6180,6189,6218,6234,6263,6280,6281,6284,6299,6301,6303,6305,6320,6321,6324,6326,6329,6330,6345,6353,6354,6355,6357,6359,6396,6397,6402,6405,6411,6415,6449,6451,6453,6455,6464,6466,6469,6475,6477,6482,6485,6493,6501,6503,6504,6511,6534,6535,6536,6537,6538,6540,6547,6552,6586,6587,6590,6591,6592,6594,6595,6596,6597,6604,6636,6637,6646,6667,6668,6690,6692,6704,6705,6711,6741,6743,6758,6797,6800,6801,6855,6878,6920,6935,6942,6951,6952,6953,6954,6972,6973,6980,6992,6995,6997,6999,7000,7001,7003,7017,7028,7029,7030,7043,7098,7109,7111,7133,7134,7169,7176,7181,7211,7242,7298,7327,7384,7405,7414,7417,7477,7487,7547,7549,7563,7572,7573,7574,7591,7595,7597,7644,7654,7657,7672,7719,7721,7724,7767,7768,7786,7856,7874,7898,7921,7933,7947,7958,7969,7970,7996,7998,8000,8009,8047,8058,8083,8110,8143,8175,8208,8247,8263,8265,8281,8282,8348,8359,8424,8448,8467,8494,8533,8534,8551,8590,8592,8594,8600,8615,8619,8634,8655,8663,8665,8675,8680,8684,8685,8686,8687,8688,8689,8708,8723,8724,8742,8744,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8835,8843,8846,8863,8864,8874,8875,8883,8902,8915,8919,8940,8962,8963,8966,8967,8973,8982,8983,9006,9017,9027,9028,9029,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9298,9306,9334,9335,9403,9437,9443,9453,9454,9455,9464,9494,9510,9514,9518,9540,9541,9568,9632,9637,9640,9675,9676,9677,9705,9706,9723,9744,9750,9762,9787,9808,9817,9818,9819,9820,9835,9837,9842,9872,9873,9879,9880,9924,9925,9936,9937,9961,9979,9981,9982,9990,9995,10002,10026,10061,10063,10067,10117,10153,10163,10165,10169,10170,10172,10181,10182,10202,10207,10302,10391,10392,10393,10394,10457,10475,2,10,11,8872,4784,4785,4803,4845,4847,4848,4877,4878,4888,4933,4935,4983,5113,5114,5127,5151,5207,5208,5214,5215,5217,5219,5228,5231,5232,5240,5253,5254,5260,5281,5282,5300,5305,5306,5307,5308,5313,5321,5324,5331,5386,5391,5392,5397,5404,5434,5444,5449,5465,5482,5484,5491,5492,5493,5504,5522,5524,5525,5532,5539,5540,5552,5553,5554,5555,5557,5558,5563,5564,5565,5566,5597,5598,5599,5607,5608,5609,5610,5653,5658,5660,5696,5698,5699,5701,5702,5704,5705,5707,5716,5721,5723,5724,5725,5727,5729,5730,5731,5732,5733,5734,5743,5744,5754,5757,5768,5784,5785,5788,5798,5800,5801,5802,5829,5839,5854,5855,5864,5865,5867,5869,5874,5909,5914,5916,5975,6010,6011,6016,6022,6025,6026,6027,6028,6047,6051,6052,6061,6083,6116,6135,6136,6140,6141,6143,6166,6170,6173,6174,6175,6191,6202,6203,6236,6237,6241,6265,6268,6271,6293,6294,6322,6325,6334,6344,6352,6356,6364,6365,6366,6367])).
% 163.57/163.23 cnf(12122,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x121221),x121221))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(12125,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x121251),x121251))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(12136,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x121361),x121361))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(12139,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x121391),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(12144,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x121441),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(12153,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),f2(a920)),x121531))),
% 163.57/163.23 inference(rename_variables,[],[3541])).
% 163.57/163.23 cnf(12154,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x121541)),x121541))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(12157,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x121571),f113(x121571)),x121572))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(12160,plain,
% 163.57/163.23 (~P106(f326(f326(f172(x121601),f113(x121601)),x121602))),
% 163.57/163.23 inference(rename_variables,[],[4740])).
% 163.57/163.23 cnf(12176,plain,
% 163.57/163.23 (P106(f326(f326(f235(a1),f326(f78(a1),f77(a1))),f2(a1)))),
% 163.57/163.23 inference(scs_inference,[],[3122,3757,4709,4710,4680,10493,10503,10516,10527,10599,10634,10637,10640,10742,10877,11187,11380,11383,11402,11405,11598,11703,11710,11722,11768,11771,11804,11819,11882,11941,3441,4690,10726,10826,11290,3129,3130,3133,3136,3137,3140,3141,3144,3148,3149,3156,3163,3164,3168,3174,3189,3194,3195,3196,3203,3212,3215,3258,3260,3267,3268,3270,3272,3282,3299,3316,4678,4087,11991,3367,11700,3481,10562,10565,10661,10664,10980,11713,11716,11830,11869,11874,11944,3458,3979,3357,3719,4073,11744,3418,3353,3380,3376,4409,3364,3365,3991,3579,11137,3451,4158,4699,10553,10723,3511,12073,4742,11316,11415,11651,11654,3624,3415,10626,10956,3416,3678,3437,11734,4302,4160,11336,11467,11526,4760,11239,11480,11589,11615,11659,11665,4761,11369,11483,11592,4762,11486,4763,11544,4764,3436,3717,3884,4575,4576,4697,3820,4036,3588,10645,10765,10843,10916,10919,10959,11059,11306,11918,3972,11977,3504,3600,11803,4735,10530,10533,10559,10686,10861,11067,11082,11197,11637,11737,11917,12139,12144,4748,11846,11877,11914,11921,11957,3959,3726,4106,3547,3549,3523,4732,4694,3710,4749,4295,11612,3842,3560,12094,4740,10521,10524,10694,10789,10808,10815,10838,10846,10849,10866,11052,11293,11506,11797,11891,12042,12157,4264,4169,11134,4218,3885,4252,3902,10689,10786,11339,11420,11499,4752,11085,11491,3520,10654,10752,10902,10966,11041,11088,11091,11122,11145,11181,11219,11258,11694,12045,3521,10681,10737,10971,11062,11184,11822,12122,12125,3522,3596,4731,10570,10602,11106,11148,11157,12005,3673,10831,10922,11192,11236,11470,11473,11552,11634,11807,4744,11115,11228,11249,11252,11319,11322,11333,11436,11444,11458,11494,11511,11520,11560,11601,11606,11609,11628,11631,11668,11673,11676,11679,11682,11924,12070,3581,10953,10983,10992,10995,10998,3620,3613,4040,3977,10605,11980,12008,4741,10550,10941,10944,11439,11455,11940,11996,12030,12057,3541,10986,11142,11212,12009,4001,4343,4738,4048,4723,4726,3497,3501,4725,4724,3832,4438,4754,10852,10855,4759,11325,11328,11514,11625,11642,4124,11685,12029,3967,11255,11261,3816,11395,3969,10989,11358,11523,11557,3674,3782,10905,10908,11001,11168,4757,11974,4758,10745,4398,4306,4000,3945,4755,10575,10578,10947,10950,11843,4756,11954,3970,10911,4238,4771,4797,4852,4856,4884,4899,4906,4908,4944,4949,4978,4984,5070,5096,5097,5112,5162,5163,5185,5186,5200,5204,5229,5235,5251,5255,5256,5257,5262,5263,5287,5312,5314,5315,5325,5330,5336,5372,5373,5381,5389,5393,5395,5398,5410,5412,5418,5423,5424,5437,5443,5446,5447,5451,5485,5499,5508,5510,5511,5514,5515,5516,5526,5528,5534,5535,5536,5542,5546,5547,5548,5556,5560,5561,5567,5580,5588,5601,5603,5611,5613,5614,5617,5621,5647,5661,5662,5677,5689,5711,5717,5741,5742,5746,5765,5773,5774,5779,5780,5790,5792,5804,5808,5817,5818,5820,5821,5837,5842,5851,5852,5863,5870,5884,5888,5891,5897,5898,5899,5902,5907,5943,5944,5947,5949,5951,5953,5954,5955,5957,5959,5961,5966,5973,5988,6002,6008,6009,6012,6023,6024,6031,6035,6037,6042,6050,6088,6103,6112,6115,6124,6128,6129,6130,6131,6132,6137,6142,6152,6158,6176,6180,6189,6218,6234,6263,6280,6281,6284,6299,6301,6303,6305,6320,6321,6324,6326,6329,6330,6345,6353,6354,6355,6357,6359,6396,6397,6402,6405,6411,6415,6449,6451,6453,6455,6464,6466,6469,6475,6477,6482,6485,6493,6501,6503,6504,6511,6534,6535,6536,6537,6538,6540,6547,6552,6586,6587,6590,6591,6592,6594,6595,6596,6597,6604,6636,6637,6646,6667,6668,6690,6692,6704,6705,6711,6741,6743,6758,6797,6800,6801,6855,6878,6920,6935,6942,6951,6952,6953,6954,6972,6973,6980,6992,6995,6997,6999,7000,7001,7003,7017,7028,7029,7030,7043,7098,7109,7111,7133,7134,7169,7176,7181,7211,7242,7298,7327,7384,7405,7414,7417,7477,7487,7547,7549,7563,7572,7573,7574,7591,7595,7597,7644,7654,7657,7672,7719,7721,7724,7767,7768,7786,7856,7874,7898,7921,7933,7947,7958,7969,7970,7996,7998,8000,8009,8047,8058,8083,8110,8143,8175,8208,8247,8263,8265,8281,8282,8348,8359,8424,8448,8467,8494,8533,8534,8551,8590,8592,8594,8600,8615,8619,8634,8655,8663,8665,8675,8680,8684,8685,8686,8687,8688,8689,8708,8723,8724,8742,8744,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8835,8843,8846,8863,8864,8874,8875,8883,8902,8915,8919,8940,8962,8963,8966,8967,8973,8982,8983,9006,9017,9027,9028,9029,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9298,9306,9334,9335,9403,9437,9443,9453,9454,9455,9464,9494,9510,9514,9518,9540,9541,9568,9632,9637,9640,9675,9676,9677,9705,9706,9723,9744,9750,9762,9787,9808,9817,9818,9819,9820,9835,9837,9842,9872,9873,9879,9880,9924,9925,9936,9937,9961,9979,9981,9982,9990,9995,10002,10026,10061,10063,10067,10117,10153,10163,10165,10169,10170,10172,10181,10182,10202,10207,10302,10391,10392,10393,10394,10457,10475,2,10,11,8872,4784,4785,4803,4845,4847,4848,4877,4878,4888,4933,4935,4983,5113,5114,5127,5151,5207,5208,5214,5215,5217,5219,5228,5231,5232,5240,5253,5254,5260,5281,5282,5300,5305,5306,5307,5308,5313,5321,5324,5331,5386,5391,5392,5397,5404,5434,5444,5449,5465,5482,5484,5491,5492,5493,5504,5522,5524,5525,5532,5539,5540,5552,5553,5554,5555,5557,5558,5563,5564,5565,5566,5597,5598,5599,5607,5608,5609,5610,5653,5658,5660,5696,5698,5699,5701,5702,5704,5705,5707,5716,5721,5723,5724,5725,5727,5729,5730,5731,5732,5733,5734,5743,5744,5754,5757,5768,5784,5785,5788,5798,5800,5801,5802,5829,5839,5854,5855,5864,5865,5867,5869,5874,5909,5914,5916,5975,6010,6011,6016,6022,6025,6026,6027,6028,6047,6051,6052,6061,6083,6116,6135,6136,6140,6141,6143,6166,6170,6173,6174,6175,6191,6202,6203,6236,6237,6241,6265,6268,6271,6293,6294,6322,6325,6334,6344,6352,6356,6364,6365,6366,6367,6399,6416,6468,6505,6507,6508,6531,6532,6539,6543,6544,6548,6562,6578,6599,6600,6605,6614,6629,6649,6655,6657,6672,6673])).
% 163.57/163.23 cnf(12179,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x121791)),x121791))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(12182,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x121821)),x121821))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(12185,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x121851)),x121851))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(12188,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x121881)),x121881))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(12191,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x121911),x121911))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12194,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x121941),x121941))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12197,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x121971),x121971))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12200,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x122001),x122001))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12217,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x122171),x122171))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12220,plain,
% 163.57/163.23 (P26(a920,a920,a112,x122201)),
% 163.57/163.23 inference(rename_variables,[],[3725])).
% 163.57/163.23 cnf(12223,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x122231),x122231))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(12234,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x122341),x122341))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(12237,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(f927(f921(x122371),f921(x122371)),a916)),f158(x122371,x122372)),f306(f921(x122371),f157(x122371,x122372))))),
% 163.57/163.23 inference(rename_variables,[],[4223])).
% 163.57/163.23 cnf(12244,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x122441),f326(a112,x122441)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(12247,plain,
% 163.57/163.23 (P106(f326(f326(f328(f928(x122471,a916)),x122472),f326(f307(x122471),x122472)))),
% 163.57/163.23 inference(rename_variables,[],[3885])).
% 163.57/163.23 cnf(12248,plain,
% 163.57/163.23 (~E(f326(a112,x122481),x122481)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(12253,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x122531),x122531))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(12258,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x122581),x122581))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(12269,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x122691,a916)),x122692),f326(f326(f308(x122691),x122693),x122692)))),
% 163.57/163.23 inference(rename_variables,[],[3967])).
% 163.57/163.23 cnf(12272,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x122721),x122721))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12273,plain,
% 163.57/163.23 (~E(f326(a112,x122731),x122731)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(12286,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x122861),x122861))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12287,plain,
% 163.57/163.23 (~E(f326(a112,x122871),x122871)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(12290,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x122901),x122901))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12293,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x122931),x122931))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12296,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x122961),x122961))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12299,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x122991),x122991))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12302,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x123021),x123021))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(12305,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x123051),x123051))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12308,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x123081),x123081))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12309,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x123091),f326(a112,x123091)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(12316,plain,
% 163.57/163.23 (~E(f326(a112,x123161),x123161)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(12321,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x123211),x123211))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12322,plain,
% 163.57/163.23 (~E(f326(a112,x123221),x123221)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(12325,plain,
% 163.57/163.23 (P106(f326(f326(f234(a1),x123251),x123251))),
% 163.57/163.23 inference(rename_variables,[],[3521])).
% 163.57/163.23 cnf(12347,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),f2(a920)),x123471))),
% 163.57/163.23 inference(rename_variables,[],[3541])).
% 163.57/163.23 cnf(12363,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x123631),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(12366,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x123661),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(12369,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x123691),x123692),f189(f928(x123691,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12372,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x123721),x123722),f189(f928(x123721,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12375,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x123751),x123751))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12378,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x123781),x123781))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12381,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x123811),x123811))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12384,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x123841),x123841))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12387,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x123871),f326(a112,x123871)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(12394,plain,
% 163.57/163.23 (P106(f326(f326(f328(f928(x123941,a916)),x123942),f326(f307(x123941),x123942)))),
% 163.57/163.23 inference(rename_variables,[],[3885])).
% 163.57/163.23 cnf(12399,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x123991,a916)),x123992),f326(f326(f308(x123991),x123993),x123992)))),
% 163.57/163.23 inference(rename_variables,[],[3967])).
% 163.57/163.23 cnf(12406,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x124061),x124062),f189(f928(x124061,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12415,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x124151,a916)),x124152),f241(f928(x124151,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3902])).
% 163.57/163.23 cnf(12416,plain,
% 163.57/163.23 (~E(f326(a112,x124161),x124161)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(12419,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x124191,a916)),f326(f172(x124191),f326(f136(x124191,x124192),x124193))),f326(f172(x124191),x124193)))),
% 163.57/163.23 inference(rename_variables,[],[4169])).
% 163.57/163.23 cnf(12425,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x124251),f326(a112,x124251)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(12434,plain,
% 163.57/163.23 (E(f326(f283(x124341,x124341),f262(x124341,x124342)),x124342)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(12445,plain,
% 163.57/163.23 (~P106(f326(f326(f234(a920),f326(a112,x124451)),x124451))),
% 163.57/163.23 inference(rename_variables,[],[4741])).
% 163.57/163.23 cnf(12446,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x124461),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(12449,plain,
% 163.57/163.23 (P106(f326(f60(x124491),f189(f928(x124491,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3596])).
% 163.57/163.23 cnf(12450,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x124501),x124502),f189(f928(x124501,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12457,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x124571,a916)),f326(f172(x124571),f176(x124571,x124572,x124573))),f326(f172(x124571),x124572)))),
% 163.57/163.23 inference(rename_variables,[],[4218])).
% 163.57/163.23 cnf(12460,plain,
% 163.57/163.23 (P26(x124601,x124601,f7(x124601),x124602)),
% 163.57/163.23 inference(rename_variables,[],[3757])).
% 163.57/163.23 cnf(12467,plain,
% 163.57/163.23 (P106(f326(f326(f328(f928(x124671,a916)),x124672),f326(f307(x124671),x124672)))),
% 163.57/163.23 inference(rename_variables,[],[3885])).
% 163.57/163.23 cnf(12474,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x124741),x124741))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12477,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x124771),x124772),f189(f928(x124771,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12480,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x124801,a916)),x124802),f326(f326(f308(x124801),x124803),x124802)))),
% 163.57/163.23 inference(rename_variables,[],[3967])).
% 163.57/163.23 cnf(12481,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x124811,a916)),x124812),f241(f928(x124811,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3902])).
% 163.57/163.23 cnf(12488,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x124881),x124881))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12491,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x124911),x124911))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12494,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x124941),x124941))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12497,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x124971),x124971))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12500,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x125001),f326(a112,x125001)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(12503,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x125031),f326(a112,x125031)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(12506,plain,
% 163.57/163.23 (P106(f326(f326(f286(a920),x125061),x125061))),
% 163.57/163.23 inference(rename_variables,[],[3522])).
% 163.57/163.23 cnf(12512,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x125121,a916)),x125122),x125122))),
% 163.57/163.23 inference(rename_variables,[],[3816])).
% 163.57/163.23 cnf(12519,plain,
% 163.57/163.23 (P106(f326(f326(f328(f928(x125191,a916)),x125192),f326(f307(x125191),x125192)))),
% 163.57/163.23 inference(rename_variables,[],[3885])).
% 163.57/163.23 cnf(12528,plain,
% 163.57/163.23 (~E(f326(a112,x125281),x125281)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(12529,plain,
% 163.57/163.23 (E(f326(f309(x125291,x125291,f7(x125291)),x125292),x125292)),
% 163.57/163.23 inference(rename_variables,[],[3579])).
% 163.57/163.23 cnf(12532,plain,
% 163.57/163.23 (P34(x125321,x125322,f113(x125321),f113(x125321))),
% 163.57/163.23 inference(rename_variables,[],[3766])).
% 163.57/163.23 cnf(12535,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x125351,a916)),f326(f172(x125351),f176(x125351,x125352,x125353))),f326(f172(x125351),x125352)))),
% 163.57/163.23 inference(rename_variables,[],[4218])).
% 163.57/163.23 cnf(12536,plain,
% 163.57/163.23 (P106(f326(f60(x125361),f326(f172(x125361),x125362)))),
% 163.57/163.23 inference(rename_variables,[],[3560])).
% 163.57/163.23 cnf(12547,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x125471),x125471))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12550,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x125501),x125501))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12555,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),f2(a920)),x125551))),
% 163.57/163.23 inference(rename_variables,[],[3541])).
% 163.57/163.23 cnf(12565,plain,
% 163.57/163.23 (P26(x125651,x125651,f7(x125651),x125652)),
% 163.57/163.23 inference(rename_variables,[],[3757])).
% 163.57/163.23 cnf(12568,plain,
% 163.57/163.23 (P26(x125681,x125681,f7(x125681),x125682)),
% 163.57/163.23 inference(rename_variables,[],[3757])).
% 163.57/163.23 cnf(12571,plain,
% 163.57/163.23 (P106(f326(f326(f328(f921(x125711)),f113(x125711)),f161(x125711,x125712)))),
% 163.57/163.23 inference(rename_variables,[],[3717])).
% 163.57/163.23 cnf(12574,plain,
% 163.57/163.23 (~P106(f326(f326(f189(f928(x125741,f928(x125742,a916))),x125743),x125744))),
% 163.57/163.23 inference(rename_variables,[],[4758])).
% 163.57/163.23 cnf(12579,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x125791),x125791))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12583,plain,
% 163.57/163.23 (~P106(f326(f326(f189(f928(x125831,f928(x125832,a916))),x125833),x125834))),
% 163.57/163.23 inference(rename_variables,[],[4758])).
% 163.57/163.23 cnf(12586,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(f927(f921(x125861),f921(x125861)),a916)),f158(x125861,x125862)),f306(f921(x125861),f157(x125861,x125862))))),
% 163.57/163.23 inference(rename_variables,[],[4223])).
% 163.57/163.23 cnf(12592,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x125921,a916)),f326(f309(x125922,x125921,x125923),f326(f310(x125922,x125921,x125923),x125924))),x125924))),
% 163.57/163.23 inference(rename_variables,[],[4398])).
% 163.57/163.23 cnf(12595,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x125951,a916)),f326(f172(x125951),f176(x125951,x125952,x125953))),f326(f172(x125951),x125952)))),
% 163.57/163.23 inference(rename_variables,[],[4218])).
% 163.57/163.23 cnf(12596,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x125961,a916)),f326(f172(x125961),f326(f136(x125961,x125962),x125963))),f326(f172(x125961),x125963)))),
% 163.57/163.23 inference(rename_variables,[],[4169])).
% 163.57/163.23 cnf(12607,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x126071,a916)),f326(f309(x126072,x126071,x126073),f326(f310(x126072,x126071,x126073),x126074))),x126074))),
% 163.57/163.23 inference(rename_variables,[],[4398])).
% 163.57/163.23 cnf(12612,plain,
% 163.57/163.23 (P106(f326(f326(f328(f921(x126121)),f113(x126121)),f161(x126121,x126122)))),
% 163.57/163.23 inference(rename_variables,[],[3717])).
% 163.57/163.23 cnf(12615,plain,
% 163.57/163.23 (~P106(f326(f326(f328(f927(f921(x126151),f921(x126151))),f326(f326(f251(f921(x126151),f921(x126151)),x126152),f113(x126151))),f145(x126151,x126153)))),
% 163.57/163.23 inference(rename_variables,[],[4760])).
% 163.57/163.23 cnf(12618,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x126181),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(12620,plain,
% 163.57/163.23 (~P106(f326(f60(x126201),f241(f928(x126201,a916))))),
% 163.57/163.23 inference(scs_inference,[],[3122,3757,11410,12460,12565,3766,3775,3491,4709,4710,3390,3393,4708,4680,10493,10503,10516,10527,10599,10634,10637,10640,10742,10877,11187,11380,11383,11402,11405,11598,11703,11710,11722,11768,11771,11804,11819,11882,11941,11960,12248,12273,12287,12316,12322,12416,3725,3441,4690,10726,10826,11290,3129,3130,3132,3133,3136,3137,3139,3140,3141,3144,3148,3149,3156,3163,3164,3168,3174,3183,3189,3191,3194,3195,3196,3203,3212,3215,3223,3258,3260,3267,3268,3270,3272,3282,3299,3316,4678,4087,11991,3367,11700,3481,10562,10565,10661,10664,10980,11713,11716,11830,11869,11874,11944,11986,3458,3467,3979,4288,3357,3719,4073,11744,3418,3353,3380,3376,4409,3364,3365,3991,3400,3579,11137,11264,3451,4158,4699,10553,10723,3511,12073,4742,11316,11415,11651,11654,3624,3415,10626,10956,3416,3678,3437,11734,4302,4160,11336,11467,11526,4760,11239,11480,11589,11615,11659,11665,4761,11369,11483,11592,4762,11486,4763,11544,4764,3436,3717,12571,12612,3884,4575,4576,4697,3820,4151,4036,4083,3703,3962,3588,10645,10765,10843,10916,10919,10959,11059,11306,11918,12244,12309,12387,12425,12500,3972,11977,3504,3600,11803,3781,4735,10530,10533,10559,10686,10861,11067,11082,11197,11637,11737,11917,12139,12144,12363,12366,12446,4748,11846,11877,11914,11921,11957,3959,3726,4106,3547,3549,3523,4732,4694,3710,4749,4295,11612,3842,3560,12094,12097,4740,10521,10524,10694,10789,10808,10815,10838,10846,10849,10866,11052,11293,11506,11797,11891,12042,12157,4264,4223,12237,12586,4169,11134,12419,4218,11342,12457,12535,3885,11925,12247,12394,12467,12519,4252,3902,10689,10786,11339,11420,11499,11563,12415,4752,11085,11491,3520,10654,10752,10902,10966,11041,11088,11091,11122,11145,11181,11219,11258,11694,12045,12091,12217,12272,12290,12293,12296,12299,12474,12488,12491,12494,12497,3521,10681,10737,10971,11062,11184,11822,12122,12125,12136,12223,12234,12253,12258,12302,12325,3522,12506,3596,12449,4731,10570,10602,11106,11148,11157,12005,12026,12191,12194,12197,12200,12286,12305,12308,12321,12375,12378,12381,12384,12547,3673,10831,10922,11192,11236,11470,11473,11552,11634,11807,12056,4744,11115,11228,11249,11252,11319,11322,11333,11436,11444,11458,11494,11511,11520,11560,11601,11606,11609,11628,11631,11668,11673,11676,11679,11682,11924,12070,12103,12369,12372,12406,12450,3581,10953,10983,10992,10995,10998,3620,3613,4040,3977,10605,11980,12008,4741,10550,10941,10944,11439,11455,11940,11996,12030,12057,12154,12179,12182,12185,12188,12445,3541,10986,11142,11212,12009,12153,12347,12555,4001,4343,4738,4012,4048,4723,4726,3497,3501,4725,4724,3832,4438,4754,10852,10855,4759,11325,11328,11514,11625,11642,4124,11685,12029,3967,11255,11261,11279,12269,12399,3816,11395,11517,12512,3969,10989,11358,11523,11557,3674,3782,10905,10908,11001,11168,4757,11974,4758,10745,10858,12574,4398,11125,12592,4306,4000,3945,4755,10575,10578,10947,10950,11843,4756,11954,3970,10911,4238,4771,4797,4852,4856,4884,4899,4906,4908,4944,4949,4978,4984,5070,5096,5097,5112,5162,5163,5185,5186,5200,5204,5229,5235,5251,5255,5256,5257,5262,5263,5287,5312,5314,5315,5325,5330,5336,5372,5373,5381,5389,5393,5395,5398,5410,5412,5418,5423,5424,5437,5443,5446,5447,5451,5485,5499,5508,5510,5511,5514,5515,5516,5526,5528,5534,5535,5536,5542,5546,5547,5548,5556,5560,5561,5567,5580,5588,5601,5603,5611,5613,5614,5617,5621,5647,5661,5662,5677,5689,5711,5717,5741,5742,5746,5765,5773,5774,5779,5780,5790,5792,5804,5808,5817,5818,5820,5821,5837,5842,5851,5852,5863,5870,5884,5888,5891,5897,5898,5899,5902,5907,5943,5944,5947,5949,5951,5953,5954,5955,5957,5959,5961,5966,5973,5988,6002,6008,6009,6012,6023,6024,6031,6035,6037,6042,6050,6088,6103,6112,6115,6124,6128,6129,6130,6131,6132,6137,6142,6152,6158,6176,6180,6189,6218,6234,6263,6280,6281,6284,6299,6301,6303,6305,6320,6321,6324,6326,6329,6330,6345,6353,6354,6355,6357,6359,6396,6397,6402,6405,6411,6415,6449,6451,6453,6455,6464,6466,6469,6475,6477,6482,6485,6493,6501,6503,6504,6511,6534,6535,6536,6537,6538,6540,6547,6552,6586,6587,6590,6591,6592,6594,6595,6596,6597,6604,6636,6637,6646,6667,6668,6690,6692,6704,6705,6711,6741,6743,6758,6797,6800,6801,6855,6878,6920,6935,6942,6951,6952,6953,6954,6972,6973,6980,6992,6995,6997,6999,7000,7001,7003,7017,7028,7029,7030,7043,7098,7109,7111,7133,7134,7169,7176,7181,7211,7242,7298,7327,7384,7405,7414,7417,7477,7487,7547,7549,7563,7572,7573,7574,7591,7595,7597,7644,7654,7657,7672,7719,7721,7724,7767,7768,7786,7856,7874,7898,7921,7933,7947,7958,7969,7970,7996,7998,8000,8009,8047,8058,8083,8110,8143,8175,8208,8247,8263,8265,8281,8282,8348,8359,8424,8448,8467,8494,8533,8534,8551,8590,8592,8594,8600,8615,8619,8634,8655,8663,8665,8675,8680,8684,8685,8686,8687,8688,8689,8708,8723,8724,8742,8744,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8835,8843,8846,8863,8864,8874,8875,8883,8902,8915,8919,8940,8962,8963,8966,8967,8973,8982,8983,9006,9017,9027,9028,9029,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9298,9306,9334,9335,9403,9437,9443,9453,9454,9455,9464,9494,9510,9514,9518,9540,9541,9568,9632,9637,9640,9675,9676,9677,9705,9706,9723,9744,9750,9762,9787,9808,9817,9818,9819,9820,9835,9837,9842,9872,9873,9879,9880,9924,9925,9936,9937,9961,9979,9981,9982,9990,9995,10002,10026,10061,10063,10067,10117,10153,10163,10165,10169,10170,10172,10181,10182,10202,10207,10302,10391,10392,10393,10394,10457,10475,2,10,11,8872,4784,4785,4803,4845,4847,4848,4877,4878,4888,4933,4935,4983,5113,5114,5127,5151,5207,5208,5214,5215,5217,5219,5228,5231,5232,5240,5253,5254,5260,5281,5282,5300,5305,5306,5307,5308,5313,5321,5324,5331,5386,5391,5392,5397,5404,5434,5444,5449,5465,5482,5484,5491,5492,5493,5504,5522,5524,5525,5532,5539,5540,5552,5553,5554,5555,5557,5558,5563,5564,5565,5566,5597,5598,5599,5607,5608,5609,5610,5653,5658,5660,5696,5698,5699,5701,5702,5704,5705,5707,5716,5721,5723,5724,5725,5727,5729,5730,5731,5732,5733,5734,5743,5744,5754,5757,5768,5784,5785,5788,5798,5800,5801,5802,5829,5839,5854,5855,5864,5865,5867,5869,5874,5909,5914,5916,5975,6010,6011,6016,6022,6025,6026,6027,6028,6047,6051,6052,6061,6083,6116,6135,6136,6140,6141,6143,6166,6170,6173,6174,6175,6191,6202,6203,6236,6237,6241,6265,6268,6271,6293,6294,6322,6325,6334,6344,6352,6356,6364,6365,6366,6367,6399,6416,6468,6505,6507,6508,6531,6532,6539,6543,6544,6548,6562,6578,6599,6600,6605,6614,6629,6649,6655,6657,6672,6673,6676,6677,6679,6681,6682,6683,6685,6687,6691,6697,6698,6700,6701,6707,6709,6751,6757,6772,6776,6777,6778,6811,6816,6818,6823,6824,6834,6838,6850,6873,6874,6876,6877,6888,6894,6912,6915,6936,6955,6966,6967,6968,6974,6988,7007,7009,7011,7013,7018,7024,7026,7040,7045,7046,7083,7084,7085,7100,7101,7103,7104,7123,7125,7140,7167,7189,7200,7202,7204,7206,7207,7239,7240,7241,7245,7246,7253,7254,7256,7258,7280,7289,7290,7301,7311,7351,7361,7367,7374,7385,7390,7392,7399,7408,7421,7438,7459,7461,7480,7533,7534,7535,7537,7539,7543,7548,7611,7640,7655,7660,7671,7702,7705,7727,7751,7769,7772,7773,7783,7803,7805,7807,7809,7810,7811,7812,7813,7838,7864,7865,7897,7899,7900,7901,7906,7927,7944,7949,7955,7957,7965,7977,7978,7980,8001,8007,8028,8096,8097,8098,8146,8152,8153,8177,8178,8195,8196,8197,8254,8255,8284,8313,8322,8336,8351,8380,8384,8390])).
% 163.57/163.23 cnf(12621,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x126211,a916)),x126212),x126212))),
% 163.57/163.23 inference(rename_variables,[],[3816])).
% 163.57/163.23 cnf(12624,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x126241),x126242),f189(f928(x126241,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12627,plain,
% 163.57/163.23 (~P106(f326(f326(f189(f928(x126271,f928(x126272,a916))),x126273),x126274))),
% 163.57/163.23 inference(rename_variables,[],[4758])).
% 163.57/163.23 cnf(12631,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x126311,a916)),x126312),x126312))),
% 163.57/163.23 inference(rename_variables,[],[3816])).
% 163.57/163.23 cnf(12636,plain,
% 163.57/163.23 (E(f326(f283(x126361,x126361),f262(x126361,x126362)),x126362)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(12639,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x126391,a916)),f326(f172(x126391),f176(x126391,x126392,x126393))),f326(f172(x126391),x126392)))),
% 163.57/163.23 inference(rename_variables,[],[4218])).
% 163.57/163.23 cnf(12640,plain,
% 163.57/163.23 (P106(f326(f60(x126401),f326(f172(x126401),x126402)))),
% 163.57/163.23 inference(rename_variables,[],[3560])).
% 163.57/163.23 cnf(12643,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x126431),x126431))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12646,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x126461),x126461))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12649,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x126491),x126491))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12660,plain,
% 163.57/163.23 (P26(x126601,x126601,f7(x126601),x126602)),
% 163.57/163.23 inference(rename_variables,[],[3757])).
% 163.57/163.23 cnf(12668,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x126681),x126682),f189(f928(x126681,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12671,plain,
% 163.57/163.23 (P106(f326(f326(f328(f927(x126711,x126711)),f326(f326(f251(x126711,x126711),x126712),x126712)),f306(x126711,x126713)))),
% 163.57/163.23 inference(rename_variables,[],[4160])).
% 163.57/163.23 cnf(12674,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x126741),x126742),f189(f928(x126741,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12677,plain,
% 163.57/163.23 (P106(f326(f326(f328(f927(x126771,x126771)),f326(f326(f251(x126771,x126771),x126772),x126772)),f306(x126771,x126773)))),
% 163.57/163.23 inference(rename_variables,[],[4160])).
% 163.57/163.23 cnf(12687,plain,
% 163.57/163.23 (~E(f326(f326(f151(x126871),x126872),x126873),x126873)),
% 163.57/163.23 inference(rename_variables,[],[4699])).
% 163.57/163.23 cnf(12694,plain,
% 163.57/163.23 (P106(f326(f326(f328(x126941),x126942),f241(f928(x126941,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3673])).
% 163.57/163.23 cnf(12695,plain,
% 163.57/163.23 (~E(f326(a112,x126951),x126951)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(12698,plain,
% 163.57/163.23 (P106(f326(f326(f328(f921(x126981)),f113(x126981)),f161(x126981,x126982)))),
% 163.57/163.23 inference(rename_variables,[],[3717])).
% 163.57/163.23 cnf(12699,plain,
% 163.57/163.23 (~E(f326(f326(f151(x126991),x126992),x126993),f113(x126991))),
% 163.57/163.23 inference(rename_variables,[],[4706])).
% 163.57/163.23 cnf(12702,plain,
% 163.57/163.23 (P26(x127021,x127021,f7(x127021),x127022)),
% 163.57/163.23 inference(rename_variables,[],[3757])).
% 163.57/163.23 cnf(12705,plain,
% 163.57/163.23 (P106(f326(f326(f328(x127051),f326(x127052,x127053)),f326(f309(x127054,x127051,x127052),f241(f928(x127054,a916)))))),
% 163.57/163.23 inference(rename_variables,[],[4124])).
% 163.57/163.23 cnf(12706,plain,
% 163.57/163.23 (P26(x127061,x127061,f7(x127061),x127062)),
% 163.57/163.23 inference(rename_variables,[],[3757])).
% 163.57/163.23 cnf(12709,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x127091,a916)),f189(f928(x127091,a916))),x127092))),
% 163.57/163.23 inference(rename_variables,[],[3969])).
% 163.57/163.23 cnf(12710,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x127101,a916)),x127102),x127102))),
% 163.57/163.23 inference(rename_variables,[],[3816])).
% 163.57/163.23 cnf(12713,plain,
% 163.57/163.23 (P106(f326(f326(f328(x127131),f326(x127132,x127133)),f326(f309(x127134,x127131,x127132),f241(f928(x127134,a916)))))),
% 163.57/163.23 inference(rename_variables,[],[4124])).
% 163.57/163.23 cnf(12714,plain,
% 163.57/163.23 (P26(x127141,x127141,f7(x127141),x127142)),
% 163.57/163.23 inference(rename_variables,[],[3757])).
% 163.57/163.23 cnf(12717,plain,
% 163.57/163.23 (P106(f326(f326(f328(f927(f921(x127171),f921(x127171))),f326(f326(f251(f921(x127171),f921(x127171)),f113(x127171)),f113(x127171))),f158(x127171,x127172)))),
% 163.57/163.23 inference(rename_variables,[],[4302])).
% 163.57/163.23 cnf(12721,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x127211),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(12727,plain,
% 163.57/163.23 (E(f326(f326(f134(x127271),x127272),f113(x127271)),x127272)),
% 163.57/163.23 inference(rename_variables,[],[3452])).
% 163.57/163.23 cnf(12728,plain,
% 163.57/163.23 (~E(f326(f326(f151(x127281),x127282),x127283),x127283)),
% 163.57/163.23 inference(rename_variables,[],[4699])).
% 163.57/163.23 cnf(12731,plain,
% 163.57/163.23 (E(f326(f326(f134(x127311),x127312),f113(x127311)),x127312)),
% 163.57/163.23 inference(rename_variables,[],[3452])).
% 163.57/163.23 cnf(12732,plain,
% 163.57/163.23 (~E(f326(f326(f151(x127321),x127322),x127323),x127323)),
% 163.57/163.23 inference(rename_variables,[],[4699])).
% 163.57/163.23 cnf(12735,plain,
% 163.57/163.23 (E(f326(f326(f134(x127351),x127352),f113(x127351)),x127352)),
% 163.57/163.23 inference(rename_variables,[],[3452])).
% 163.57/163.23 cnf(12742,plain,
% 163.57/163.23 (P53(x127421,f262(x127421,x127422))),
% 163.57/163.23 inference(rename_variables,[],[3394])).
% 163.57/163.23 cnf(12746,plain,
% 163.57/163.23 (E(f326(f309(x127461,x127461,f7(x127461)),x127462),x127462)),
% 163.57/163.23 inference(rename_variables,[],[3579])).
% 163.57/163.23 cnf(12751,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x127511,a916)),x127512),f241(f928(x127511,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3902])).
% 163.57/163.23 cnf(12755,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x127551),x127551))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12756,plain,
% 163.57/163.23 (~E(f326(a112,x127561),x127561)),
% 163.57/163.23 inference(rename_variables,[],[4680])).
% 163.57/163.23 cnf(12762,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x127621),x127621))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12765,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x127651,a916)),x127652),x127652))),
% 163.57/163.23 inference(rename_variables,[],[3816])).
% 163.57/163.23 cnf(12773,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x127731,a916)),x127732),x127732))),
% 163.57/163.23 inference(rename_variables,[],[3816])).
% 163.57/163.23 cnf(12774,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x127741),x127742),f189(f928(x127741,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12777,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x127771),x127772),f189(f928(x127771,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12786,plain,
% 163.57/163.23 (P26(x127861,x127861,f7(x127861),x127862)),
% 163.57/163.23 inference(rename_variables,[],[3757])).
% 163.57/163.23 cnf(12789,plain,
% 163.57/163.23 (E(f326(f190(f921(x127891)),f169(x127891,x127892,x127893)),x127892)),
% 163.57/163.23 inference(rename_variables,[],[3587])).
% 163.57/163.23 cnf(12792,plain,
% 163.57/163.23 (P27(x127921,x127921,f31(x127921),x127922,x127922)),
% 163.57/163.23 inference(rename_variables,[],[4184])).
% 163.57/163.23 cnf(12795,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x127951),x127951))),
% 163.57/163.23 inference(rename_variables,[],[4731])).
% 163.57/163.23 cnf(12796,plain,
% 163.57/163.23 (P106(f326(f241(f928(x127961,a916)),x127962))),
% 163.57/163.23 inference(rename_variables,[],[3581])).
% 163.57/163.23 cnf(12799,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x127991),x127992),f189(f928(x127991,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12803,plain,
% 163.57/163.23 (P106(f326(f326(f328(f927(x128031,x128031)),f326(f326(f251(x128031,x128031),x128032),x128032)),f306(x128031,x128033)))),
% 163.57/163.23 inference(rename_variables,[],[4160])).
% 163.57/163.23 cnf(12806,plain,
% 163.57/163.23 (P106(f326(f326(f328(f927(x128061,x128061)),f326(f326(f251(x128061,x128061),x128062),x128062)),f306(x128061,x128063)))),
% 163.57/163.23 inference(rename_variables,[],[4160])).
% 163.57/163.23 cnf(12809,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),x128091),x128091))),
% 163.57/163.23 inference(rename_variables,[],[3520])).
% 163.57/163.23 cnf(12813,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x128131,a916)),x128132),f241(f928(x128131,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3902])).
% 163.57/163.23 cnf(12814,plain,
% 163.57/163.23 (P27(x128141,x128141,f31(x128141),x128142,x128142)),
% 163.57/163.23 inference(rename_variables,[],[4184])).
% 163.57/163.23 cnf(12827,plain,
% 163.57/163.23 (~P106(f326(f326(f189(f928(x128271,f928(x128272,a916))),x128273),x128274))),
% 163.57/163.23 inference(rename_variables,[],[4758])).
% 163.57/163.23 cnf(12830,plain,
% 163.57/163.23 (~P106(f326(f326(f189(f928(x128301,f928(x128302,a916))),x128303),x128304))),
% 163.57/163.23 inference(rename_variables,[],[4758])).
% 163.57/163.23 cnf(12833,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x128331,a916)),x128332),f241(f928(x128331,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3902])).
% 163.57/163.23 cnf(12836,plain,
% 163.57/163.23 (P106(f326(f326(f328(f927(x128361,x128361)),f326(f326(f251(x128361,x128361),x128362),x128362)),f306(x128361,x128363)))),
% 163.57/163.23 inference(rename_variables,[],[4160])).
% 163.57/163.23 cnf(12840,plain,
% 163.57/163.23 (P106(f326(f326(f235(a920),x128401),f326(a112,x128401)))),
% 163.57/163.23 inference(rename_variables,[],[3588])).
% 163.57/163.23 cnf(12843,plain,
% 163.57/163.23 (P106(f326(f326(f234(f928(x128431,a916)),x128432),f241(f928(x128431,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3902])).
% 163.57/163.23 cnf(12846,plain,
% 163.57/163.23 (E(f326(f283(x128461,x128461),f262(x128461,x128462)),x128462)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(12853,plain,
% 163.57/163.23 (P106(f326(f326(f328(f927(f927(f921(x128531),f921(x128531)),f927(f921(x128531),f921(x128531)))),f575(f306(f927(f921(x128531),f921(x128531)),x128532),f145(x128531,x128533),f927(f921(x128531),f921(x128531)))),f306(f927(f921(x128531),f921(x128531)),x128532)))),
% 163.57/163.23 inference(scs_inference,[],[3122,4184,12792,3757,11410,12460,12565,12568,12660,12702,12706,12714,3766,3775,3491,4709,4710,3390,3393,3394,4708,4680,10493,10503,10516,10527,10599,10634,10637,10640,10742,10877,11187,11380,11383,11402,11405,11598,11703,11710,11722,11768,11771,11804,11819,11882,11941,11960,12248,12273,12287,12316,12322,12416,12528,12695,3576,3725,12220,3441,4690,10726,10826,11290,3129,3130,3132,3133,3136,3137,3139,3140,3141,3144,3148,3149,3156,3158,3163,3164,3168,3174,3183,3189,3191,3194,3195,3196,3203,3212,3215,3223,3258,3260,3267,3268,3270,3272,3282,3299,3316,4678,3857,4087,11991,3367,11700,3481,10562,10565,10661,10664,10980,11713,11716,11830,11869,11874,11944,11986,12434,12636,3452,12727,12731,12735,3458,3467,3979,4288,3587,3357,3719,4073,11744,3418,3353,3380,3837,3376,4409,3364,3365,3991,3400,3579,11137,11264,12529,12746,3451,4158,4699,10553,10723,11595,12687,12728,4706,12699,3511,12073,4742,11316,11415,11651,11654,3624,4720,3415,10626,10956,3416,3678,3437,11734,4302,12717,4160,11336,11467,11526,12671,12677,12803,12806,12836,4760,11239,11480,11589,11615,11659,11665,12615,4761,11369,11483,11592,4762,11486,4763,11544,4764,3436,3717,12571,12612,12698,3884,3666,4575,4576,4697,11727,3820,4151,4036,4083,3703,3962,3588,10645,10765,10843,10916,10919,10959,11059,11306,11918,12244,12309,12387,12425,12500,12503,3972,11977,3504,3600,11803,3781,4735,10530,10533,10559,10686,10861,11067,11082,11197,11637,11737,11917,12139,12144,12363,12366,12446,12618,4748,11846,11877,11914,11921,11957,3959,3726,4106,3547,3549,3523,4732,4694,3910,3710,4749,4295,11612,3842,3560,12094,12097,12536,12640,4740,10521,10524,10694,10789,10808,10815,10838,10846,10849,10866,11052,11293,11506,11797,11891,12042,12157,12160,4264,4223,12237,12586,4169,11134,12419,12596,4218,11342,12457,12535,12595,12639,3885,11925,12247,12394,12467,12519,4252,3902,10689,10786,11339,11420,11499,11563,12415,12481,12751,12813,12833,4752,11085,11491,3520,10654,10752,10902,10966,11041,11088,11091,11122,11145,11181,11219,11258,11694,12045,12091,12217,12272,12290,12293,12296,12299,12474,12488,12491,12494,12497,12579,12643,12762,3521,10681,10737,10971,11062,11184,11822,12122,12125,12136,12223,12234,12253,12258,12302,12325,3522,12506,3596,12449,4731,10570,10602,11106,11148,11157,12005,12026,12191,12194,12197,12200,12286,12305,12308,12321,12375,12378,12381,12384,12547,12550,12646,12649,12755,3673,10831,10922,11192,11236,11470,11473,11552,11634,11807,12056,4744,11115,11228,11249,11252,11319,11322,11333,11436,11444,11458,11494,11511,11520,11560,11601,11606,11609,11628,11631,11668,11673,11676,11679,11682,11924,12070,12103,12369,12372,12406,12450,12477,12624,12668,12674,12774,12777,3581,10953,10983,10992,10995,10998,11581,12796,3620,3613,4040,3977,10605,11980,12008,4741,10550,10941,10944,11439,11455,11940,11996,12030,12057,12154,12179,12182,12185,12188,12445,3541,10986,11142,11212,12009,12153,12347,12555,4001,4343,4738,4012,4048,4723,4726,3497,3501,4725,4724,3832,4438,4754,10852,10855,4759,11325,11328,11514,11625,11642,11688,4124,11685,12029,12033,12705,12713,3967,11255,11261,11279,12269,12399,12480,3816,11395,11517,12512,12621,12631,12710,12765,4300,3969,10989,11358,11523,11557,11568,12709,3674,3782,10905,10908,11001,11168,4757,11974,4758,10745,10858,12574,12583,12627,12827,4398,11125,12592,12607,4306,4000,3945,4755,10575,10578,10947,10950,11843,12034,4756,11954,3970,10911,4238,4771,4797,4852,4856,4884,4899,4906,4908,4944,4949,4978,4984,5070,5096,5097,5112,5162,5163,5185,5186,5200,5204,5229,5235,5251,5255,5256,5257,5262,5263,5287,5312,5314,5315,5325,5330,5336,5372,5373,5381,5389,5393,5395,5398,5410,5412,5418,5423,5424,5437,5443,5446,5447,5451,5485,5499,5508,5510,5511,5514,5515,5516,5526,5528,5534,5535,5536,5542,5546,5547,5548,5556,5560,5561,5567,5580,5588,5601,5603,5611,5613,5614,5617,5621,5647,5661,5662,5677,5689,5711,5717,5741,5742,5746,5765,5773,5774,5779,5780,5790,5792,5804,5808,5817,5818,5820,5821,5837,5842,5851,5852,5863,5870,5884,5888,5891,5897,5898,5899,5902,5907,5943,5944,5947,5949,5951,5953,5954,5955,5957,5959,5961,5966,5973,5988,6002,6008,6009,6012,6023,6024,6031,6035,6037,6042,6050,6088,6103,6112,6115,6124,6128,6129,6130,6131,6132,6137,6142,6152,6158,6176,6180,6189,6218,6234,6263,6280,6281,6284,6299,6301,6303,6305,6320,6321,6324,6326,6329,6330,6345,6353,6354,6355,6357,6359,6396,6397,6402,6405,6411,6415,6449,6451,6453,6455,6464,6466,6469,6475,6477,6482,6485,6493,6501,6503,6504,6511,6534,6535,6536,6537,6538,6540,6547,6552,6586,6587,6590,6591,6592,6594,6595,6596,6597,6604,6636,6637,6646,6667,6668,6690,6692,6704,6705,6711,6741,6743,6758,6797,6800,6801,6855,6878,6920,6935,6942,6951,6952,6953,6954,6972,6973,6980,6992,6995,6997,6999,7000,7001,7003,7017,7028,7029,7030,7043,7098,7109,7111,7133,7134,7169,7176,7181,7211,7242,7298,7327,7384,7405,7414,7417,7477,7487,7547,7549,7563,7572,7573,7574,7591,7595,7597,7644,7654,7657,7672,7719,7721,7724,7767,7768,7786,7856,7874,7898,7921,7933,7947,7958,7969,7970,7996,7998,8000,8009,8047,8058,8083,8110,8143,8175,8208,8247,8263,8265,8281,8282,8348,8359,8424,8448,8467,8494,8533,8534,8551,8590,8592,8594,8600,8615,8619,8634,8655,8663,8665,8675,8680,8684,8685,8686,8687,8688,8689,8708,8723,8724,8742,8744,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8835,8843,8846,8863,8864,8874,8875,8883,8902,8915,8919,8940,8962,8963,8966,8967,8973,8982,8983,9006,9017,9027,9028,9029,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9298,9306,9334,9335,9403,9437,9443,9453,9454,9455,9464,9494,9510,9514,9518,9540,9541,9568,9632,9637,9640,9675,9676,9677,9705,9706,9723,9744,9750,9762,9787,9808,9817,9818,9819,9820,9835,9837,9842,9872,9873,9879,9880,9924,9925,9936,9937,9961,9979,9981,9982,9990,9995,10002,10026,10061,10063,10067,10117,10153,10163,10165,10169,10170,10172,10181,10182,10202,10207,10302,10391,10392,10393,10394,10457,10475,2,10,11,8872,4784,4785,4803,4845,4847,4848,4877,4878,4888,4933,4935,4983,5113,5114,5127,5151,5207,5208,5214,5215,5217,5219,5228,5231,5232,5240,5253,5254,5260,5281,5282,5300,5305,5306,5307,5308,5313,5321,5324,5331,5386,5391,5392,5397,5404,5434,5444,5449,5465,5482,5484,5491,5492,5493,5504,5522,5524,5525,5532,5539,5540,5552,5553,5554,5555,5557,5558,5563,5564,5565,5566,5597,5598,5599,5607,5608,5609,5610,5653,5658,5660,5696,5698,5699,5701,5702,5704,5705,5707,5716,5721,5723,5724,5725,5727,5729,5730,5731,5732,5733,5734,5743,5744,5754,5757,5768,5784,5785,5788,5798,5800,5801,5802,5829,5839,5854,5855,5864,5865,5867,5869,5874,5909,5914,5916,5975,6010,6011,6016,6022,6025,6026,6027,6028,6047,6051,6052,6061,6083,6116,6135,6136,6140,6141,6143,6166,6170,6173,6174,6175,6191,6202,6203,6236,6237,6241,6265,6268,6271,6293,6294,6322,6325,6334,6344,6352,6356,6364,6365,6366,6367,6399,6416,6468,6505,6507,6508,6531,6532,6539,6543,6544,6548,6562,6578,6599,6600,6605,6614,6629,6649,6655,6657,6672,6673,6676,6677,6679,6681,6682,6683,6685,6687,6691,6697,6698,6700,6701,6707,6709,6751,6757,6772,6776,6777,6778,6811,6816,6818,6823,6824,6834,6838,6850,6873,6874,6876,6877,6888,6894,6912,6915,6936,6955,6966,6967,6968,6974,6988,7007,7009,7011,7013,7018,7024,7026,7040,7045,7046,7083,7084,7085,7100,7101,7103,7104,7123,7125,7140,7167,7189,7200,7202,7204,7206,7207,7239,7240,7241,7245,7246,7253,7254,7256,7258,7280,7289,7290,7301,7311,7351,7361,7367,7374,7385,7390,7392,7399,7408,7421,7438,7459,7461,7480,7533,7534,7535,7537,7539,7543,7548,7611,7640,7655,7660,7671,7702,7705,7727,7751,7769,7772,7773,7783,7803,7805,7807,7809,7810,7811,7812,7813,7838,7864,7865,7897,7899,7900,7901,7906,7927,7944,7949,7955,7957,7965,7977,7978,7980,8001,8007,8028,8096,8097,8098,8146,8152,8153,8177,8178,8195,8196,8197,8254,8255,8284,8313,8322,8336,8351,8380,8384,8390,8402,8420,8425,8447,8492,8521,8535,8554,8557,8583,8609,8666,8667,8670,8671,8740,8774,8775,8776,8777,8804,8838,8867,8876,8877,8918,8939,8984,9000,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9303,9308,9312,9332,9343,9366,9368,9371,9377,9379,9380,9390,9391,9410,9418,9429,9436,9480,9498,9553,9554,9560,9599,9624,9629,9669,9681,9685,9686,9690,9691,9704,9728,9743,9752,9753,9755])).
% 163.57/163.23 cnf(12857,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x128571),x128572),f189(f928(x128571,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12858,plain,
% 163.57/163.23 (P106(f326(f326(f328(f927(f921(x128581),f921(x128581))),f326(f326(f251(f921(x128581),f921(x128581)),f113(x128581)),f113(x128581))),f158(x128581,x128582)))),
% 163.57/163.23 inference(rename_variables,[],[4302])).
% 163.57/163.23 cnf(12863,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x128631),x128632),f189(f928(x128631,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12868,plain,
% 163.57/163.23 (P33(x128681,x128682,f113(x128681))),
% 163.57/163.23 inference(rename_variables,[],[3457])).
% 163.57/163.23 cnf(12871,plain,
% 163.57/163.23 (E(f326(f190(f921(x128711)),f169(x128711,x128712,x128713)),x128712)),
% 163.57/163.23 inference(rename_variables,[],[3587])).
% 163.57/163.23 cnf(12874,plain,
% 163.57/163.23 (~P106(f326(f326(f328(x128741),x128742),f189(f928(x128741,a916))))),
% 163.57/163.23 inference(rename_variables,[],[4744])).
% 163.57/163.23 cnf(12902,plain,
% 163.57/163.23 (E(f326(f283(x129021,x129021),f262(x129021,x129022)),x129022)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(12904,plain,
% 163.57/163.23 (P25(x129041,x129042,f189(f928(f919(x129041),a916)))),
% 163.57/163.23 inference(rename_variables,[],[3575])).
% 163.57/163.23 cnf(12909,plain,
% 163.57/163.23 (E(f326(f283(x129091,x129091),f262(x129091,x129092)),x129092)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(12918,plain,
% 163.57/163.23 (E(f326(f283(x129181,x129181),f262(x129181,x129182)),x129182)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(12920,plain,
% 163.57/163.23 (P39(x129201,f153(x129201,x129202))),
% 163.57/163.23 inference(rename_variables,[],[3390])).
% 163.57/163.23 cnf(12925,plain,
% 163.57/163.23 (E(f326(f283(x129251,x129251),f262(x129251,x129252)),x129252)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(12927,plain,
% 163.57/163.23 (P26(x129271,x129271,f7(x129271),x129272)),
% 163.57/163.23 inference(rename_variables,[],[3757])).
% 163.57/163.23 cnf(12938,plain,
% 163.57/163.23 (E(f326(f283(x129381,x129381),f262(x129381,x129382)),x129382)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(12940,plain,
% 163.57/163.23 (P57(x129401,f189(f928(x129401,a916)),x129402)),
% 163.57/163.23 inference(rename_variables,[],[3539])).
% 163.57/163.23 cnf(12948,plain,
% 163.57/163.23 (E(f326(f283(x129481,x129481),f262(x129481,x129482)),x129482)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(12958,plain,
% 163.57/163.23 (P27(x129581,x129581,f31(x129581),x129582,x129582)),
% 163.57/163.23 inference(rename_variables,[],[4184])).
% 163.57/163.23 cnf(12960,plain,
% 163.57/163.23 (P27(x129601,x129601,f31(x129601),x129602,x129602)),
% 163.57/163.23 inference(rename_variables,[],[4184])).
% 163.57/163.23 cnf(12968,plain,
% 163.57/163.23 (P56(x129681,x129681,f262(x129681,x129682))),
% 163.57/163.23 inference(rename_variables,[],[3491])).
% 163.57/163.23 cnf(12976,plain,
% 163.57/163.23 (E(f326(f283(x129761,x129761),f262(x129761,x129762)),x129762)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(12982,plain,
% 163.57/163.23 (E(f189(f928(f927(x129821,x129821),a916)),f262(x129821,f189(f928(x129821,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3591])).
% 163.57/163.23 cnf(12984,plain,
% 163.57/163.23 (P15(x129841,f928(x129841,a916),f308(x129841))),
% 163.57/163.23 inference(rename_variables,[],[3494])).
% 163.57/163.23 cnf(12988,plain,
% 163.57/163.23 (P53(x129881,f262(x129881,x129882))),
% 163.57/163.23 inference(rename_variables,[],[3394])).
% 163.57/163.23 cnf(12993,plain,
% 163.57/163.23 (E(f326(f283(x129931,x129931),f262(x129931,x129932)),x129932)),
% 163.57/163.23 inference(rename_variables,[],[3481])).
% 163.57/163.23 cnf(12997,plain,
% 163.57/163.23 (P40(x129971,f262(x129971,x129972))),
% 163.57/163.23 inference(rename_variables,[],[3391])).
% 163.57/163.23 cnf(13003,plain,
% 163.57/163.23 (E(f189(f928(f927(x130031,x130031),a916)),f262(x130031,f189(f928(x130031,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3591])).
% 163.57/163.23 cnf(13005,plain,
% 163.57/163.23 (E(f189(f928(f927(x130051,x130051),a916)),f262(x130051,f189(f928(x130051,a916))))),
% 163.57/163.23 inference(rename_variables,[],[3591])).
% 163.57/163.23 cnf(13007,plain,
% 163.57/163.23 (P54(x130071,x130072,f262(x130071,x130072))),
% 163.57/163.23 inference(rename_variables,[],[3490])).
% 163.57/163.23 cnf(13009,plain,
% 163.57/163.23 (P54(x130091,x130092,f262(x130091,x130092))),
% 163.57/163.23 inference(rename_variables,[],[3490])).
% 163.57/163.23 cnf(13011,plain,
% 163.57/163.23 (P54(x130111,x130112,f262(x130111,x130112))),
% 163.57/163.23 inference(rename_variables,[],[3490])).
% 163.57/163.23 cnf(13013,plain,
% 163.57/163.23 (P34(x130131,x130132,f113(x130131),f113(x130131))),
% 163.57/163.23 inference(rename_variables,[],[3766])).
% 163.57/163.23 cnf(13015,plain,
% 163.57/163.23 (P34(x130151,x130152,f113(x130151),f113(x130151))),
% 163.57/163.23 inference(rename_variables,[],[3766])).
% 163.57/163.23 cnf(13024,plain,
% 163.57/163.23 (P44(x130241,x130242,x130243,x130244,f189(f928(x130241,a916)),x130244)),
% 163.57/163.23 inference(rename_variables,[],[4460])).
% 163.57/163.23 cnf(13044,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x130441),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(13053,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a1),f326(f100(a1),x130531)),f326(f78(a1),f326(f100(a1),x130532))))),
% 163.57/163.23 inference(rename_variables,[],[4753])).
% 163.57/163.23 cnf(13063,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x130631),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(13066,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a920),x130661),f2(a920)))),
% 163.57/163.23 inference(rename_variables,[],[4735])).
% 163.57/163.23 cnf(13069,plain,
% 163.57/163.23 (P106(f326(f60(a920),f304(a920,x130691,x130692)))),
% 163.57/163.23 inference(rename_variables,[],[3728])).
% 163.57/163.23 cnf(13072,plain,
% 163.57/163.23 (P106(f326(f60(a920),f304(a920,x130721,x130722)))),
% 163.57/163.23 inference(rename_variables,[],[3728])).
% 163.57/163.23 cnf(13075,plain,
% 163.57/163.23 (P106(f326(f60(a920),f304(a920,x130751,x130752)))),
% 163.57/163.23 inference(rename_variables,[],[3728])).
% 163.57/163.23 cnf(13102,plain,
% 163.57/163.23 (~P106(f326(f326(f235(a1),f2(a1)),f326(f103(a1),f2(a1))))),
% 163.57/163.23 inference(scs_inference,[],[3122,4184,12792,12814,12958,12960,3757,11410,12460,12565,12568,12660,12702,12706,12714,12786,12927,3766,12532,13013,13015,3775,3490,13007,13009,13011,3491,12968,3457,12868,4709,4710,12053,4460,13024,3494,12984,3333,3390,12920,3391,12997,3392,3393,3394,12742,12988,4708,3818,4680,10493,10503,10516,10527,10599,10634,10637,10640,10742,10877,11187,11380,11383,11402,11405,11598,11703,11710,11722,11768,11771,11804,11819,11882,11941,11960,12248,12273,12287,12316,12322,12416,12528,12695,12756,3576,3539,12940,3725,12220,3441,4690,10726,10826,11290,3129,3130,3132,3133,3136,3137,3139,3140,3141,3144,3148,3149,3156,3157,3158,3163,3164,3168,3174,3183,3189,3191,3194,3195,3196,3203,3212,3215,3223,3258,3260,3267,3268,3270,3272,3282,3289,3299,4677,3316,3389,4678,3857,4087,11991,3367,11700,3502,3478,3481,10562,10565,10661,10664,10980,11713,11716,11830,11869,11874,11944,11986,12434,12636,12846,12902,12909,12918,12925,12938,12948,12976,12993,3452,12727,12731,12735,3458,3467,3979,4288,3587,12789,12871,3357,3719,4073,11744,3575,12904,3418,3353,3380,3837,3376,3483,4193,4081,3900,4663,4409,3364,3365,3343,3323,3991,3400,3579,11137,11264,12529,12746,3451,4158,4699,10553,10723,11595,12687,12728,12732,4706,12699,3511,12073,4114,4742,11316,11415,11651,11654,3919,3624,3843,4720,3591,12982,13003,13005,3415,10626,10956,3416,3678,3408,3437,11734,4302,12717,12858,4160,11336,11467,11526,12671,12677,12803,12806,12836,4760,11239,11480,11589,11615,11659,11665,12615,4761,11369,11483,11592,4762,11486,4763,11544,4764,3436,3717,12571,12612,12698,3884,3666,4575,4576,3738,4697,11727,3861,3820,3863,4151,4036,4083,3703,3962,3588,10645,10765,10843,10916,10919,10959,11059,11306,11918,12244,12309,12387,12425,12500,12503,12840,3972,11977,3504,3600,11803,3781,4735,10530,10533,10559,10686,10861,11067,11082,11197,11637,11737,11917,12139,12144,12363,12366,12446,12618,12721,13044,13063,13066,4748,11846,11877,11914,11921,11957,3959,3726,3728,13069,13072,13075,4106,3547,3549,3523,4732,3414,4694,3910,4224,3710,4749,4295,11612,3842,3560,12094,12097,12536,12640,4740,10521,10524,10694,10789,10808,10815,10838,10846,10849,10866,11052,11293,11506,11797,11891,12042,12157,12160,4264,4223,12237,12586,4169,11134,12419,12596,4218,11342,12457,12535,12595,12639,3885,11925,12247,12394,12467,12519,4252,3902,10689,10786,11339,11420,11499,11563,12415,12481,12751,12813,12833,12843,4752,11085,11491,3520,10654,10752,10902,10966,11041,11088,11091,11122,11145,11181,11219,11258,11694,12045,12091,12217,12272,12290,12293,12296,12299,12474,12488,12491,12494,12497,12579,12643,12762,12809,3521,10681,10737,10971,11062,11184,11822,12122,12125,12136,12223,12234,12253,12258,12302,12325,3522,12506,3596,12449,4731,10570,10602,11106,11148,11157,12005,12026,12191,12194,12197,12200,12286,12305,12308,12321,12375,12378,12381,12384,12547,12550,12646,12649,12755,12795,3673,10831,10922,11192,11236,11470,11473,11552,11634,11807,12056,12694,4744,11115,11228,11249,11252,11319,11322,11333,11436,11444,11458,11494,11511,11520,11560,11601,11606,11609,11628,11631,11668,11673,11676,11679,11682,11924,12070,12103,12369,12372,12406,12450,12477,12624,12668,12674,12774,12777,12799,12857,12863,12874,3581,10953,10983,10992,10995,10998,11581,12796,3620,3613,4040,3977,10605,11980,12008,4741,10550,10941,10944,11439,11455,11940,11996,12030,12057,12154,12179,12182,12185,12188,12445,3541,10986,11142,11212,12009,12153,12347,12555,4001,12100,4343,3732,4738,4012,4048,4723,4726,4727,3497,3501,4725,4724,3832,4438,11829,4754,10852,10855,4759,11325,11328,11514,11625,11642,11688,4124,11685,12029,12033,12705,12713,3967,11255,11261,11279,12269,12399,12480,3816,11395,11517,12512,12621,12631,12710,12765,12773,4300,3969,10989,11358,11523,11557,11568,12709,3674,3782,10905,10908,11001,11168,3784,4757,11974,4753,13053,4758,10745,10858,12574,12583,12627,12827,12830,4398,11125,12592,12607,4306,4000,3945,3946,4755,10575,10578,10947,10950,11843,12034,4756,11954,3970,10911,4238,4771,4797,4852,4856,4884,4899,4906,4908,4944,4949,4978,4984,5070,5096,5097,5112,5162,5163,5185,5186,5200,5204,5229,5235,5251,5255,5256,5257,5262,5263,5287,5312,5314,5315,5325,5330,5336,5372,5373,5381,5389,5393,5395,5398,5410,5412,5418,5423,5424,5437,5443,5446,5447,5451,5485,5499,5508,5510,5511,5514,5515,5516,5526,5528,5534,5535,5536,5542,5546,5547,5548,5556,5560,5561,5567,5580,5588,5601,5603,5611,5613,5614,5617,5621,5647,5661,5662,5677,5689,5711,5717,5741,5742,5746,5765,5773,5774,5779,5780,5790,5792,5804,5808,5817,5818,5820,5821,5837,5842,5851,5852,5863,5870,5884,5888,5891,5897,5898,5899,5902,5907,5943,5944,5947,5949,5951,5953,5954,5955,5957,5959,5961,5966,5973,5988,6002,6008,6009,6012,6023,6024,6031,6035,6037,6042,6050,6088,6103,6112,6115,6124,6128,6129,6130,6131,6132,6137,6142,6152,6158,6176,6180,6189,6218,6234,6263,6280,6281,6284,6299,6301,6303,6305,6320,6321,6324,6326,6329,6330,6345,6353,6354,6355,6357,6359,6396,6397,6402,6405,6411,6415,6449,6451,6453,6455,6464,6466,6469,6475,6477,6482,6485,6493,6501,6503,6504,6511,6534,6535,6536,6537,6538,6540,6547,6552,6586,6587,6590,6591,6592,6594,6595,6596,6597,6604,6636,6637,6646,6667,6668,6690,6692,6704,6705,6711,6741,6743,6758,6797,6800,6801,6855,6878,6920,6935,6942,6951,6952,6953,6954,6972,6973,6980,6992,6995,6997,6999,7000,7001,7003,7017,7028,7029,7030,7043,7098,7109,7111,7133,7134,7169,7176,7181,7211,7242,7298,7327,7384,7405,7414,7417,7477,7487,7547,7549,7563,7572,7573,7574,7591,7595,7597,7644,7654,7657,7672,7719,7721,7724,7767,7768,7786,7856,7874,7898,7921,7933,7947,7958,7969,7970,7996,7998,8000,8009,8047,8058,8083,8110,8143,8175,8208,8247,8263,8265,8281,8282,8348,8359,8424,8448,8467,8494,8533,8534,8551,8590,8592,8594,8600,8615,8619,8634,8655,8663,8665,8675,8680,8684,8685,8686,8687,8688,8689,8708,8723,8724,8742,8744,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8835,8843,8846,8863,8864,8874,8875,8883,8902,8915,8919,8940,8962,8963,8966,8967,8973,8982,8983,9006,9017,9027,9028,9029,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9298,9306,9334,9335,9403,9437,9443,9453,9454,9455,9464,9494,9510,9514,9518,9540,9541,9568,9632,9637,9640,9675,9676,9677,9705,9706,9723,9744,9750,9762,9787,9808,9817,9818,9819,9820,9835,9837,9842,9872,9873,9879,9880,9924,9925,9936,9937,9961,9979,9981,9982,9990,9995,10002,10026,10061,10063,10067,10117,10153,10163,10165,10169,10170,10172,10181,10182,10202,10207,10302,10391,10392,10393,10394,10457,10475,2,10,11,8872,4784,4785,4803,4845,4847,4848,4877,4878,4888,4933,4935,4983,5113,5114,5127,5151,5207,5208,5214,5215,5217,5219,5228,5231,5232,5240,5253,5254,5260,5281,5282,5300,5305,5306,5307,5308,5313,5321,5324,5331,5386,5391,5392,5397,5404,5434,5444,5449,5465,5482,5484,5491,5492,5493,5504,5522,5524,5525,5532,5539,5540,5552,5553,5554,5555,5557,5558,5563,5564,5565,5566,5597,5598,5599,5607,5608,5609,5610,5653,5658,5660,5696,5698,5699,5701,5702,5704,5705,5707,5716,5721,5723,5724,5725,5727,5729,5730,5731,5732,5733,5734,5743,5744,5754,5757,5768,5784,5785,5788,5798,5800,5801,5802,5829,5839,5854,5855,5864,5865,5867,5869,5874,5909,5914,5916,5975,6010,6011,6016,6022,6025,6026,6027,6028,6047,6051,6052,6061,6083,6116,6135,6136,6140,6141,6143,6166,6170,6173,6174,6175,6191,6202,6203,6236,6237,6241,6265,6268,6271,6293,6294,6322,6325,6334,6344,6352,6356,6364,6365,6366,6367,6399,6416,6468,6505,6507,6508,6531,6532,6539,6543,6544,6548,6562,6578,6599,6600,6605,6614,6629,6649,6655,6657,6672,6673,6676,6677,6679,6681,6682,6683,6685,6687,6691,6697,6698,6700,6701,6707,6709,6751,6757,6772,6776,6777,6778,6811,6816,6818,6823,6824,6834,6838,6850,6873,6874,6876,6877,6888,6894,6912,6915,6936,6955,6966,6967,6968,6974,6988,7007,7009,7011,7013,7018,7024,7026,7040,7045,7046,7083,7084,7085,7100,7101,7103,7104,7123,7125,7140,7167,7189,7200,7202,7204,7206,7207,7239,7240,7241,7245,7246,7253,7254,7256,7258,7280,7289,7290,7301,7311,7351,7361,7367,7374,7385,7390,7392,7399,7408,7421,7438,7459,7461,7480,7533,7534,7535,7537,7539,7543,7548,7611,7640,7655,7660,7671,7702,7705,7727,7751,7769,7772,7773,7783,7803,7805,7807,7809,7810,7811,7812,7813,7838,7864,7865,7897,7899,7900,7901,7906,7927,7944,7949,7955,7957,7965,7977,7978,7980,8001,8007,8028,8096,8097,8098,8146,8152,8153,8177,8178,8195,8196,8197,8254,8255,8284,8313,8322,8336,8351,8380,8384,8390,8402,8420,8425,8447,8492,8521,8535,8554,8557,8583,8609,8666,8667,8670,8671,8740,8774,8775,8776,8777,8804,8838,8867,8876,8877,8918,8939,8984,9000,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9303,9308,9312,9332,9343,9366,9368,9371,9377,9379,9380,9390,9391,9410,9418,9429,9436,9480,9498,9553,9554,9560,9599,9624,9629,9669,9681,9685,9686,9690,9691,9704,9728,9743,9752,9753,9755,9757,9786,9906,9907,9956,9957,9996,10032,10144,10211,10277,10365,10383,10388,3,2856,2857,2858,2859,2862,2873,2874,2875,2882,2883,2884,2885,2889,2890,2895,2896,2897,2898,2899,2900,2902,2903,2908,2909,2911,2912,2913,2918,2922,2923,2926,2927,2929,2930,2933,2934,2935,2936,2937,2940,2941,2945,2946,2947,2952,2954,2955,2956,2957,2958,2960,2961,2963,2966,2967,2968,2989,2991,3003,3004,3015,3016,3018,3019,3022,3023,3024,3029,3031,3032,3046,3070,3073,3076,3079,3080,3081,3094,3108,3109,5481,5521,5669,5670,5671,5755,5853,5883,5917,5933,5935,5941,6003,6004,6005,6006,6014,6049,6186,6225,6235,6262,6297,6335,6484])).
% 163.57/163.23 cnf(13850,plain,
% 163.57/163.23 (~E(f326(f326(f151(x138501),x138502),x138503),x138503)),
% 163.57/163.23 inference(rename_variables,[],[4699])).
% 163.57/163.23 cnf(13864,plain,
% 163.57/163.23 (P106(f326(f326(f234(a920),f44(a920,x138641,x138642)),x138641))),
% 163.57/163.23 inference(rename_variables,[],[3977])).
% 163.57/163.23 cnf(13889,plain,
% 163.57/163.23 (P106(f326(f326(f328(x138891),f326(x138892,x138893)),f326(f309(x138894,x138891,x138892),f241(f928(x138894,a916)))))),
% 163.57/163.23 inference(rename_variables,[],[4124])).
% 163.57/163.23 cnf(13945,plain,
% 163.57/163.23 ($false),
% 163.57/163.23 inference(scs_inference,[],[4302,4757,4723,4732,4160,3596,4725,3613,4760,4124,13889,4218,4699,13850,4706,3600,3977,13864,3541,3816,3782,3452,4731,4741,4754,4753,4756,11862,12176,11670,12853,11199,11061,11567,11392,3466,11010,12620,13102,12119,11407,3154,10,5546,7109,8966,9820,8816,6024,6801,4797,6534,5613,5953,6218,6704,9835,7477,6596,9437,4949,4978,8533,8708,9334,9514,5662,6180,7547,5959,5910,5973,8827,6501,9510,7874,8467,6455,5547,6466,6595,6636,4852,7657,8494,9028,6234,6320,8835,4884]),
% 163.57/163.23 ['proof']).
% 163.57/163.24 % SZS output end Proof
% 163.57/163.24 % Total time :147.560000s
%------------------------------------------------------------------------------