TSTP Solution File: SWW297+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW297+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 : n018.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 18:06:47 EDT 2024
% Result : Theorem 218.59s 218.70s
% Output : CNFRefutation 218.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW297+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n018.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 06:14:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 218.17/218.57 %-------------------------------------------
% 218.17/218.57 % File :CSE---1.7
% 218.17/218.57 % Problem :theBenchmark
% 218.17/218.57 % Transform :cnf
% 218.17/218.57 % Format :tptp:raw
% 218.17/218.57 % Command :java -jar mcs_scs.jar %d %s
% 218.17/218.57
% 218.17/218.57 % Result :Theorem 178.220000s
% 218.17/218.57 % Output :CNFRefutation 178.220000s
% 218.17/218.57 %-------------------------------------------
% 218.17/218.58 %------------------------------------------------------------------------------
% 218.17/218.58 % File : SWW297+1 : TPTP v8.2.0. Released v5.2.0.
% 218.17/218.58 % Domain : Software Verification
% 218.17/218.58 % Problem : Hoare's Logic with Procedures 434756, 5000 axioms selected
% 218.17/218.58 % Version : Especial.
% 218.17/218.58 % English :
% 218.17/218.58
% 218.17/218.58 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 218.17/218.58 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 218.17/218.58 % Source : [Bla11]
% 218.17/218.58 % Names : hoare_434756.5000.p [Bla11]
% 218.17/218.58
% 218.17/218.58 % Status : Theorem
% 218.17/218.58 % Rating : 0.47 v8.2.0, 0.50 v8.1.0, 0.53 v7.4.0, 0.60 v7.3.0, 0.55 v7.2.0, 0.52 v7.1.0, 0.57 v7.0.0, 0.67 v6.4.0, 0.62 v6.3.0, 0.67 v6.2.0, 0.76 v6.1.0, 0.80 v6.0.0, 0.74 v5.4.0, 0.75 v5.3.0, 0.78 v5.2.0
% 218.17/218.58 % Syntax : Number of formulae : 5225 (1653 unt; 0 def)
% 218.17/218.58 % Number of atoms : 12821 (4429 equ)
% 218.17/218.58 % Maximal formula atoms : 13 ( 2 avg)
% 218.17/218.58 % Number of connectives : 8646 (1050 ~; 157 |; 750 &)
% 218.17/218.58 % ( 920 <=>;5769 =>; 0 <=; 0 <~>)
% 218.17/218.58 % Maximal formula depth : 22 ( 6 avg)
% 218.17/218.58 % Maximal term depth : 19 ( 2 avg)
% 218.17/218.58 % Number of predicates : 150 ( 149 usr; 0 prp; 1-6 aty)
% 218.17/218.58 % Number of functors : 371 ( 371 usr; 48 con; 0-7 aty)
% 218.17/218.58 % Number of variables : 16459 (16309 !; 150 ?)
% 218.17/218.58 % SPC : FOF_THM_RFO_SEQ
% 218.17/218.58
% 218.17/218.58 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 218.17/218.58 % 2011-03-01 11:28:28
% 218.17/218.58 %------------------------------------------------------------------------------
% 218.17/218.58 %----Relevant facts (4983)
% 218.17/218.58 fof(fact_ext,axiom,
% 218.17/218.58 ! [V_g_2,V_f_2] :
% 218.17/218.58 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 218.17/218.58 => V_f_2 = V_g_2 ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_evaln__Suc,axiom,
% 218.17/218.58 ! [V_s_H,V_n,V_s,V_c] :
% 218.17/218.58 ( c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)
% 218.17/218.58 => c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_n__not__Suc__n,axiom,
% 218.17/218.58 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_Suc__n__not__n,axiom,
% 218.17/218.58 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 218.17/218.58
% 218.17/218.58 fof(fact_nat_Oinject,axiom,
% 218.17/218.58 ! [V_nat_H_2,V_nat_2] :
% 218.17/218.58 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 218.17/218.58 <=> V_nat_2 = V_nat_H_2 ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_Suc__inject,axiom,
% 218.17/218.58 ! [V_y,V_x] :
% 218.17/218.58 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 218.17/218.58 => V_x = V_y ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 218.17/218.58 ! [V_i_2,V_na_2,V_inc_2,T_b] :
% 218.17/218.58 ( class_Rings_Osemiring__1(T_b)
% 218.17/218.58 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_na_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_na_2,hAPP(V_inc_2,V_i_2)) ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_power_Opower_Opower__Suc,axiom,
% 218.17/218.58 ! [V_na_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_na_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_na_2)) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_nat__case__Suc,axiom,
% 218.17/218.58 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_evaln_OSkip,axiom,
% 218.17/218.58 ! [V_n,V_s] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_evaln__elim__cases_I1_J,axiom,
% 218.17/218.58 ! [V_t,V_n,V_s] :
% 218.17/218.58 ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t)
% 218.17/218.58 => V_t = V_s ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_evaln_OSemi,axiom,
% 218.17/218.58 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] :
% 218.17/218.58 ( c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1)
% 218.17/218.58 => ( c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)
% 218.17/218.58 => c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2) ) ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_evaln_Oequations_I4_J,axiom,
% 218.17/218.58 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] :
% 218.17/218.58 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_a1_2,V_a5_2),V_a2_2,V_a3_2,V_a6_2)
% 218.17/218.58 <=> ? [B_s1] :
% 218.17/218.58 ( c_Natural_Oevaln(V_a1_2,V_a2_2,V_a3_2,B_s1)
% 218.17/218.58 & c_Natural_Oevaln(V_a5_2,B_s1,V_a3_2,V_a6_2) ) ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_evaln_Oequations_I1_J,axiom,
% 218.17/218.58 ! [V_a2,V_a1] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_a1,V_a2,V_a1) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_com_Osimps_I12_J,axiom,
% 218.17/218.58 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_com_Osimps_I13_J,axiom,
% 218.17/218.58 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 218.17/218.58
% 218.17/218.58 fof(fact_com_Osimps_I3_J,axiom,
% 218.17/218.58 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 218.17/218.58 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 218.17/218.58 <=> ( V_com1_2 = V_com1_H_2
% 218.17/218.58 & V_com2_2 = V_com2_H_2 ) ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_evaln__elim__cases_I4_J,axiom,
% 218.17/218.58 ! [V_t,V_n,V_s,V_c2,V_c1] :
% 218.17/218.58 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t)
% 218.17/218.58 => ~ ! [B_s1] :
% 218.17/218.58 ( c_Natural_Oevaln(V_c1,V_s,V_n,B_s1)
% 218.17/218.58 => ~ c_Natural_Oevaln(V_c2,B_s1,V_n,V_t) ) ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_nat__rec__Suc,axiom,
% 218.17/218.58 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 218.17/218.58 ! [V_i_2,V_inc_2,T_b] :
% 218.17/218.58 ( class_Rings_Osemiring__1(T_b)
% 218.17/218.58 => 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 ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_power_Opower_Opower__0,axiom,
% 218.17/218.58 ! [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 ).
% 218.17/218.58
% 218.17/218.58 fof(fact_evaln__elim__cases_I5_J,axiom,
% 218.17/218.58 ! [V_ta_2,V_na_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 218.17/218.58 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2),V_s_2,V_na_2,V_ta_2)
% 218.17/218.58 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 218.17/218.58 => ~ c_Natural_Oevaln(V_c1_2,V_s_2,V_na_2,V_ta_2) )
% 218.17/218.58 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 218.17/218.58 => ~ c_Natural_Oevaln(V_c2_2,V_s_2,V_na_2,V_ta_2) ) ) ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_evaln_OIfTrue,axiom,
% 218.17/218.58 ! [V_c1_2,V_s1_2,V_na_2,V_c0_2,V_s_2,V_b_2] :
% 218.17/218.58 ( hBOOL(hAPP(V_b_2,V_s_2))
% 218.17/218.58 => ( c_Natural_Oevaln(V_c0_2,V_s_2,V_na_2,V_s1_2)
% 218.17/218.58 => c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2),V_s_2,V_na_2,V_s1_2) ) ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_evaln_OIfFalse,axiom,
% 218.17/218.58 ! [V_c0_2,V_s1_2,V_na_2,V_c1_2,V_s_2,V_b_2] :
% 218.17/218.58 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 218.17/218.58 => ( c_Natural_Oevaln(V_c1_2,V_s_2,V_na_2,V_s1_2)
% 218.17/218.58 => c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2),V_s_2,V_na_2,V_s1_2) ) ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_evaln_OWhileTrue,axiom,
% 218.17/218.58 ! [V_s2_2,V_s1_2,V_na_2,V_c_2,V_s0_2,V_b_2] :
% 218.17/218.58 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 218.17/218.58 => ( c_Natural_Oevaln(V_c_2,V_s0_2,V_na_2,V_s1_2)
% 218.17/218.58 => ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s1_2,V_na_2,V_s2_2)
% 218.17/218.58 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s0_2,V_na_2,V_s2_2) ) ) ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_evaln_OWhileFalse,axiom,
% 218.17/218.58 ! [V_na_2,V_c_2,V_s_2,V_b_2] :
% 218.17/218.58 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 218.17/218.58 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s_2,V_na_2,V_s_2) ) ).
% 218.17/218.58
% 218.17/218.58 fof(fact_nat__rec__0,axiom,
% 218.17/218.59 ! [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 ).
% 218.17/218.59
% 218.17/218.59 fof(fact_com_Osimps_I4_J,axiom,
% 218.17/218.59 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 218.17/218.59 ( 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)
% 218.17/218.59 <=> ( V_fun_2 = V_fun_H_2
% 218.17/218.59 & V_com1_2 = V_com1_H_2
% 218.17/218.59 & V_com2_2 = V_com2_H_2 ) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_com_Osimps_I5_J,axiom,
% 218.17/218.59 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 218.17/218.59 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 218.17/218.59 <=> ( V_fun_2 = V_fun_H_2
% 218.17/218.59 & V_com_2 = V_com_H_2 ) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_com_Osimps_I52_J,axiom,
% 218.17/218.59 ! [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) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_com_Osimps_I53_J,axiom,
% 218.17/218.59 ! [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) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_com_Osimps_I47_J,axiom,
% 218.17/218.59 ! [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) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_com_Osimps_I46_J,axiom,
% 218.17/218.59 ! [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) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_com_Osimps_I17_J,axiom,
% 218.17/218.59 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 218.17/218.59
% 218.17/218.59 fof(fact_com_Osimps_I16_J,axiom,
% 218.17/218.59 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_com_Osimps_I45_J,axiom,
% 218.17/218.59 ! [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) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_com_Osimps_I44_J,axiom,
% 218.17/218.59 ! [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) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_com_Osimps_I15_J,axiom,
% 218.17/218.59 ! [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 ).
% 218.17/218.59
% 218.17/218.59 fof(fact_com_Osimps_I14_J,axiom,
% 218.17/218.59 ! [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) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_Zero__not__Suc,axiom,
% 218.17/218.59 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_nat_Osimps_I2_J,axiom,
% 218.17/218.59 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_Suc__not__Zero,axiom,
% 218.17/218.59 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_nat_Osimps_I3_J,axiom,
% 218.17/218.59 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_Zero__neq__Suc,axiom,
% 218.17/218.59 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_Suc__neq__Zero,axiom,
% 218.17/218.59 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_evaln_Oequations_I7_J,axiom,
% 218.17/218.59 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 218.17/218.59 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a2_2)
% 218.17/218.59 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 218.17/218.59 => ? [B_s1] :
% 218.17/218.59 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1)
% 218.17/218.59 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a2_2) ) ) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_evaln_Oequations_I8_J,axiom,
% 218.17/218.59 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 218.17/218.59 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a6_2)
% 218.17/218.59 <=> ( ( V_a6_2 = V_a2_2
% 218.17/218.59 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 218.17/218.59 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 218.17/218.59 & ? [B_s1] :
% 218.17/218.59 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1)
% 218.17/218.59 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a6_2) ) ) ) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_evaln_Oequations_I5_J,axiom,
% 218.17/218.59 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] :
% 218.17/218.59 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a6_2),V_a2_2,V_a4_2,V_a5_2)
% 218.17/218.59 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 218.17/218.59 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) )
% 218.17/218.59 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 218.17/218.59 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_evaln_Oequations_I6_J,axiom,
% 218.17/218.59 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] :
% 218.17/218.59 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_a1_2,V_a6_2,V_a3_2),V_a2_2,V_a4_2,V_a5_2)
% 218.17/218.59 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 218.17/218.59 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) )
% 218.17/218.59 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 218.17/218.59 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_nat__case__0,axiom,
% 218.17/218.59 ! [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 ).
% 218.17/218.59
% 218.17/218.59 fof(fact_com_Osize_I1_J,axiom,
% 218.17/218.59 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_com_Osize_I9_J,axiom,
% 218.17/218.59 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_zero__reorient,axiom,
% 218.17/218.59 ! [V_x_2,T_b] :
% 218.17/218.59 ( class_Groups_Ozero(T_b)
% 218.17/218.59 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 218.17/218.59 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_def__nat__rec__Suc,axiom,
% 218.17/218.59 ! [V_na_2,V_h_2,V_c_2,T_b,V_f_2] :
% 218.17/218.59 ( ! [B_n] : hAPP(V_f_2,B_n) = hAPP(c_Nat_Onat_Onat__rec(T_b,V_c_2,V_h_2),B_n)
% 218.17/218.59 => hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(V_h_2,V_na_2),hAPP(V_f_2,V_na_2)) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_def__nat__rec__0,axiom,
% 218.17/218.59 ! [V_h_2,V_c_2,T_b,V_f_2] :
% 218.17/218.59 ( ! [B_n] : hAPP(V_f_2,B_n) = hAPP(c_Nat_Onat_Onat__rec(T_b,V_c_2,V_h_2),B_n)
% 218.17/218.59 => hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_c_2 ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_evaln__WHILE__case,axiom,
% 218.17/218.59 ! [V_ta_2,V_na_2,V_s_2,V_c_2,V_b_2] :
% 218.17/218.59 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s_2,V_na_2,V_ta_2)
% 218.17/218.59 => ( ( V_ta_2 = V_s_2
% 218.17/218.59 => hBOOL(hAPP(V_b_2,V_s_2)) )
% 218.17/218.59 => ~ ( hBOOL(hAPP(V_b_2,V_s_2))
% 218.17/218.59 => ! [B_s1] :
% 218.17/218.59 ( c_Natural_Oevaln(V_c_2,V_s_2,V_na_2,B_s1)
% 218.17/218.59 => ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),B_s1,V_na_2,V_ta_2) ) ) ) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_zero__less__Suc,axiom,
% 218.17/218.59 ! [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))) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_nat_Oexhaust,axiom,
% 218.17/218.59 ! [V_y] :
% 218.17/218.59 ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.17/218.59 => ~ ! [B_nat] : V_y != hAPP(c_Nat_OSuc,B_nat) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_zero__induct,axiom,
% 218.17/218.59 ! [V_k_2,V_P_2] :
% 218.17/218.59 ( hBOOL(hAPP(V_P_2,V_k_2))
% 218.17/218.59 => ( ! [B_n] :
% 218.17/218.59 ( hBOOL(hAPP(V_P_2,hAPP(c_Nat_OSuc,B_n)))
% 218.17/218.59 => hBOOL(hAPP(V_P_2,B_n)) )
% 218.17/218.59 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_nat__induct,axiom,
% 218.17/218.59 ! [V_na_2,V_P_2] :
% 218.17/218.59 ( hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 218.17/218.59 => ( ! [B_n] :
% 218.17/218.59 ( hBOOL(hAPP(V_P_2,B_n))
% 218.17/218.59 => hBOOL(hAPP(V_P_2,hAPP(c_Nat_OSuc,B_n))) )
% 218.17/218.59 => hBOOL(hAPP(V_P_2,V_na_2)) ) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_not0__implies__Suc,axiom,
% 218.17/218.59 ! [V_n] :
% 218.17/218.59 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.17/218.59 => ? [B_m] : V_n = hAPP(c_Nat_OSuc,B_m) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_less__zeroE,axiom,
% 218.17/218.59 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_Suc__mono,axiom,
% 218.17/218.59 ! [V_n,V_m] :
% 218.17/218.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.17/218.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_lessI,axiom,
% 218.17/218.59 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_nat__less__cases,axiom,
% 218.17/218.59 ! [V_P_2,V_na_2,V_m_2] :
% 218.17/218.59 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 218.17/218.59 => hBOOL(hAPP(hAPP(V_P_2,V_na_2),V_m_2)) )
% 218.17/218.59 => ( ( V_m_2 = V_na_2
% 218.17/218.59 => hBOOL(hAPP(hAPP(V_P_2,V_na_2),V_m_2)) )
% 218.17/218.59 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 218.17/218.59 => hBOOL(hAPP(hAPP(V_P_2,V_na_2),V_m_2)) )
% 218.17/218.59 => hBOOL(hAPP(hAPP(V_P_2,V_na_2),V_m_2)) ) ) ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_less__not__refl3,axiom,
% 218.17/218.59 ! [V_t,V_s] :
% 218.17/218.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 218.17/218.59 => V_s != V_t ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_less__not__refl2,axiom,
% 218.17/218.59 ! [V_m,V_n] :
% 218.17/218.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 218.17/218.59 => V_m != V_n ) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_less__irrefl__nat,axiom,
% 218.17/218.59 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 218.17/218.59
% 218.17/218.59 fof(fact_linorder__neqE__nat,axiom,
% 218.17/218.59 ! [V_y,V_x] :
% 218.17/218.59 ( V_x != V_y
% 218.17/218.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 218.17/218.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_nat__neq__iff,axiom,
% 218.17/218.60 ! [V_na_2,V_m_2] :
% 218.17/218.60 ( V_m_2 != V_na_2
% 218.17/218.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 218.17/218.60 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_less__not__refl,axiom,
% 218.17/218.60 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_gr0I,axiom,
% 218.17/218.60 ! [V_n] :
% 218.17/218.60 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.17/218.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_gr__implies__not0,axiom,
% 218.17/218.60 ! [V_n,V_m] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.17/218.60 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_less__nat__zero__code,axiom,
% 218.17/218.60 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_neq0__conv,axiom,
% 218.17/218.60 ! [V_na_2] :
% 218.17/218.60 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.17/218.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_not__less0,axiom,
% 218.17/218.60 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_Suc__less__SucD,axiom,
% 218.17/218.60 ! [V_n,V_m] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 218.17/218.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_Suc__lessD,axiom,
% 218.17/218.60 ! [V_n,V_m] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 218.17/218.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_less__SucE,axiom,
% 218.17/218.60 ! [V_n,V_m] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 218.17/218.60 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.17/218.60 => V_m = V_n ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_less__trans__Suc,axiom,
% 218.17/218.60 ! [V_k,V_j,V_i] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 218.17/218.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_Suc__lessI,axiom,
% 218.17/218.60 ! [V_n,V_m] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.17/218.60 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 218.17/218.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_less__SucI,axiom,
% 218.17/218.60 ! [V_n,V_m] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.17/218.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_less__antisym,axiom,
% 218.17/218.60 ! [V_m,V_n] :
% 218.17/218.60 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 218.17/218.60 => V_m = V_n ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_not__less__less__Suc__eq,axiom,
% 218.17/218.60 ! [V_m_2,V_na_2] :
% 218.17/218.60 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 218.17/218.60 <=> V_na_2 = V_m_2 ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_Suc__less__eq,axiom,
% 218.17/218.60 ! [V_na_2,V_m_2] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_na_2)))
% 218.17/218.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_less__Suc__eq,axiom,
% 218.17/218.60 ! [V_na_2,V_m_2] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 218.17/218.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 218.17/218.60 | V_m_2 = V_na_2 ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_not__less__eq,axiom,
% 218.17/218.60 ! [V_na_2,V_m_2] :
% 218.17/218.60 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 218.17/218.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_gr0__conv__Suc,axiom,
% 218.17/218.60 ! [V_na_2] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 218.17/218.60 <=> ? [B_m] : V_na_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_less__Suc0,axiom,
% 218.17/218.60 ! [V_na_2] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 218.17/218.60 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_less__Suc__eq__0__disj,axiom,
% 218.17/218.60 ! [V_na_2,V_m_2] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 218.17/218.60 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.17/218.60 | ? [B_j] :
% 218.17/218.60 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 218.17/218.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_na_2)) ) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_com_Osize_I12_J,axiom,
% 218.17/218.60 ! [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))) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_com_Osize_I4_J,axiom,
% 218.17/218.60 ! [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))) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_com_Osize_I13_J,axiom,
% 218.17/218.60 ! [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))) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_com_Osize_I5_J,axiom,
% 218.17/218.60 ! [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))) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_com_Osize_I14_J,axiom,
% 218.17/218.60 ! [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))) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_com_Osize_I6_J,axiom,
% 218.17/218.60 ! [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))) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_of__nat__0__less__iff,axiom,
% 218.17/218.60 ! [V_na_2,T_b] :
% 218.17/218.60 ( class_Rings_Olinordered__semidom(T_b)
% 218.17/218.60 => ( 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_na_2)))
% 218.17/218.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_gr0__implies__Suc,axiom,
% 218.17/218.60 ! [V_n] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.17/218.60 => ? [B_m] : V_n = hAPP(c_Nat_OSuc,B_m) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_lift__Suc__mono__less,axiom,
% 218.17/218.60 ! [V_n_H_2,V_na_2,V_f_2,T_b] :
% 218.17/218.60 ( class_Orderings_Oorder(T_b)
% 218.17/218.60 => ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n))))
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_n_H_2))
% 218.17/218.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_na_2)),hAPP(V_f_2,V_n_H_2))) ) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_lift__Suc__mono__less__iff,axiom,
% 218.17/218.60 ! [V_m_2,V_na_2,V_f_2,T_b] :
% 218.17/218.60 ( class_Orderings_Oorder(T_b)
% 218.17/218.60 => ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n))))
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_na_2)),hAPP(V_f_2,V_m_2)))
% 218.17/218.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_order__less__irrefl,axiom,
% 218.17/218.60 ! [V_x,T_a] :
% 218.17/218.60 ( class_Orderings_Opreorder(T_a)
% 218.17/218.60 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_linorder__neq__iff,axiom,
% 218.17/218.60 ! [V_y_2,V_x_2,T_b] :
% 218.17/218.60 ( class_Orderings_Olinorder(T_b)
% 218.17/218.60 => ( V_x_2 != V_y_2
% 218.17/218.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 218.17/218.60 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 218.17/218.60 ! [V_c,V_b,V_a,T_a] :
% 218.17/218.60 ( class_Groups_Oab__semigroup__add(T_a)
% 218.17/218.60 => 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)) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__left__cancel,axiom,
% 218.17/218.60 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 218.17/218.60 ( class_Groups_Ocancel__semigroup__add(T_b)
% 218.17/218.60 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)
% 218.17/218.60 <=> V_b_2 = V_c_2 ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__right__cancel,axiom,
% 218.17/218.60 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 218.17/218.60 ( class_Groups_Ocancel__semigroup__add(T_b)
% 218.17/218.60 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)
% 218.17/218.60 <=> V_b_2 = V_c_2 ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__left__imp__eq,axiom,
% 218.17/218.60 ! [V_c,V_b,V_a,T_a] :
% 218.17/218.60 ( class_Groups_Ocancel__semigroup__add(T_a)
% 218.17/218.60 => ( 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)
% 218.17/218.60 => V_b = V_c ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__imp__eq,axiom,
% 218.17/218.60 ! [V_c,V_b,V_a,T_a] :
% 218.17/218.60 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 218.17/218.60 => ( 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)
% 218.17/218.60 => V_b = V_c ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__right__imp__eq,axiom,
% 218.17/218.60 ! [V_c,V_a,V_b,T_a] :
% 218.17/218.60 ( class_Groups_Ocancel__semigroup__add(T_a)
% 218.17/218.60 => ( 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)
% 218.17/218.60 => V_b = V_c ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_of__nat__add,axiom,
% 218.17/218.60 ! [V_n,V_m,T_a] :
% 218.17/218.60 ( class_Rings_Osemiring__1(T_a)
% 218.17/218.60 => 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)) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_nat__add__commute,axiom,
% 218.17/218.60 ! [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) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_nat__add__left__commute,axiom,
% 218.17/218.60 ! [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)) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_of__nat__eq__iff,axiom,
% 218.17/218.60 ! [V_na_2,V_m_2,T_b] :
% 218.17/218.60 ( class_Nat_Osemiring__char__0(T_b)
% 218.17/218.60 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)
% 218.17/218.60 <=> V_m_2 = V_na_2 ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_nat__add__assoc,axiom,
% 218.17/218.60 ! [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)) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_nat__add__left__cancel,axiom,
% 218.17/218.60 ! [V_na_2,V_m_2,V_k_2] :
% 218.17/218.60 ( 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_na_2)
% 218.17/218.60 <=> V_m_2 = V_na_2 ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_nat__add__right__cancel,axiom,
% 218.17/218.60 ! [V_na_2,V_k_2,V_m_2] :
% 218.17/218.60 ( 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_na_2),V_k_2)
% 218.17/218.60 <=> V_m_2 = V_na_2 ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add_Ocomm__neutral,axiom,
% 218.17/218.60 ! [V_a,T_a] :
% 218.17/218.60 ( class_Groups_Ocomm__monoid__add(T_a)
% 218.17/218.60 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__0__right,axiom,
% 218.17/218.60 ! [V_a,T_a] :
% 218.17/218.60 ( class_Groups_Omonoid__add(T_a)
% 218.17/218.60 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_double__zero__sym,axiom,
% 218.17/218.60 ! [V_a_2,T_b] :
% 218.17/218.60 ( class_Groups_Olinordered__ab__group__add(T_b)
% 218.17/218.60 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 218.17/218.60 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__0,axiom,
% 218.17/218.60 ! [V_a,T_a] :
% 218.17/218.60 ( class_Groups_Ocomm__monoid__add(T_a)
% 218.17/218.60 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__0__left,axiom,
% 218.17/218.60 ! [V_a,T_a] :
% 218.17/218.60 ( class_Groups_Omonoid__add(T_a)
% 218.17/218.60 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__less__imp__less__left,axiom,
% 218.17/218.60 ! [V_b,V_a,V_c,T_a] :
% 218.17/218.60 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 218.17/218.60 => ( 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)))
% 218.17/218.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__less__imp__less__right,axiom,
% 218.17/218.60 ! [V_b,V_c,V_a,T_a] :
% 218.17/218.60 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 218.17/218.60 => ( 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)))
% 218.17/218.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__strict__mono,axiom,
% 218.17/218.60 ! [V_d,V_c,V_b,V_a,T_a] :
% 218.17/218.60 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 218.17/218.60 => 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))) ) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__strict__left__mono,axiom,
% 218.17/218.60 ! [V_c,V_b,V_a,T_a] :
% 218.17/218.60 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.17/218.60 => 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))) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__strict__right__mono,axiom,
% 218.17/218.60 ! [V_c,V_b,V_a,T_a] :
% 218.17/218.60 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.17/218.60 => 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))) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__less__cancel__left,axiom,
% 218.17/218.60 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 218.17/218.60 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 218.17/218.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__less__cancel__right,axiom,
% 218.17/218.60 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 218.17/218.60 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 218.17/218.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_plus__nat_Oadd__0,axiom,
% 218.17/218.60 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 218.17/218.60
% 218.17/218.60 fof(fact_Nat_Oadd__0__right,axiom,
% 218.17/218.60 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__is__0,axiom,
% 218.17/218.60 ! [V_na_2,V_m_2] :
% 218.17/218.60 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.17/218.60 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.17/218.60 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__eq__self__zero,axiom,
% 218.17/218.60 ! [V_n,V_m] :
% 218.17/218.60 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 218.17/218.60 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__Suc__right,axiom,
% 218.17/218.60 ! [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)) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__Suc,axiom,
% 218.17/218.60 ! [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)) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__Suc__shift,axiom,
% 218.17/218.60 ! [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)) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_not__add__less1,axiom,
% 218.17/218.60 ! [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)) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_not__add__less2,axiom,
% 218.17/218.60 ! [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)) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_nat__add__left__cancel__less,axiom,
% 218.17/218.60 ! [V_na_2,V_m_2,V_k_2] :
% 218.17/218.60 ( 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_na_2)))
% 218.17/218.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_trans__less__add1,axiom,
% 218.17/218.60 ! [V_m,V_j,V_i] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 218.17/218.60 => 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))) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_trans__less__add2,axiom,
% 218.17/218.60 ! [V_m,V_j,V_i] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 218.17/218.60 => 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))) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__less__mono1,axiom,
% 218.17/218.60 ! [V_k,V_j,V_i] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 218.17/218.60 => 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))) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__less__mono,axiom,
% 218.17/218.60 ! [V_l,V_k,V_j,V_i] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 218.17/218.60 => 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))) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_less__add__eq__less,axiom,
% 218.17/218.60 ! [V_n,V_m,V_l,V_k] :
% 218.17/218.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 218.17/218.60 => ( 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)
% 218.17/218.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__lessD1,axiom,
% 218.17/218.60 ! [V_k,V_j,V_i] :
% 218.17/218.60 ( 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))
% 218.17/218.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 218.17/218.60 ! [V_a_2,T_b] :
% 218.17/218.60 ( class_Groups_Olinordered__ab__group__add(T_b)
% 218.17/218.60 => ( 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)))
% 218.17/218.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 218.17/218.60 ! [V_a_2,T_b] :
% 218.17/218.60 ( class_Groups_Olinordered__ab__group__add(T_b)
% 218.17/218.60 => ( 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)))
% 218.17/218.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__pos__pos,axiom,
% 218.17/218.60 ! [V_b,V_a,T_a] :
% 218.17/218.60 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.17/218.60 => 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))) ) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__neg__neg,axiom,
% 218.17/218.60 ! [V_b,V_a,T_a] :
% 218.17/218.60 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.17/218.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 218.17/218.60 => 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))) ) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_of__nat__less__0__iff,axiom,
% 218.17/218.60 ! [V_m,T_a] :
% 218.17/218.60 ( class_Rings_Olinordered__semidom(T_a)
% 218.17/218.60 => ~ 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))) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_of__nat__0,axiom,
% 218.17/218.60 ! [T_a] :
% 218.17/218.60 ( class_Rings_Osemiring__1(T_a)
% 218.17/218.60 => 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) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__is__1,axiom,
% 218.17/218.60 ! [V_na_2,V_m_2] :
% 218.17/218.60 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 218.17/218.60 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 218.17/218.60 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 218.17/218.60 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.17/218.60 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_one__is__add,axiom,
% 218.17/218.60 ! [V_na_2,V_m_2] :
% 218.17/218.60 ( 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_na_2)
% 218.17/218.60 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 218.17/218.60 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 218.17/218.60 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.17/218.60 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_add__gr__0,axiom,
% 218.17/218.60 ! [V_na_2,V_m_2] :
% 218.17/218.60 ( 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_na_2)))
% 218.17/218.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 218.17/218.60 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_of__nat__less__iff,axiom,
% 218.17/218.60 ! [V_na_2,V_m_2,T_b] :
% 218.17/218.60 ( class_Rings_Olinordered__semidom(T_b)
% 218.17/218.60 => ( 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_na_2)))
% 218.17/218.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 218.17/218.60
% 218.17/218.60 fof(fact_less__imp__of__nat__less,axiom,
% 218.17/218.60 ! [V_n,V_m,T_a] :
% 218.17/218.60 ( class_Rings_Olinordered__semidom(T_a)
% 218.17/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.17/218.61 => 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))) ) ) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_of__nat__less__imp__less,axiom,
% 218.17/218.61 ! [V_n,V_m,T_a] :
% 218.17/218.61 ( class_Rings_Olinordered__semidom(T_a)
% 218.17/218.61 => ( 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)))
% 218.17/218.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_less__iff__Suc__add,axiom,
% 218.17/218.61 ! [V_na_2,V_m_2] :
% 218.17/218.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 218.17/218.61 <=> ? [B_k] : V_na_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_less__add__Suc2,axiom,
% 218.17/218.61 ! [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)))) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_less__add__Suc1,axiom,
% 218.17/218.61 ! [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)))) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_linorder__cases,axiom,
% 218.17/218.61 ! [V_y,V_x,T_a] :
% 218.17/218.61 ( class_Orderings_Olinorder(T_a)
% 218.17/218.61 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.17/218.61 => ( V_x != V_y
% 218.17/218.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_order__less__asym,axiom,
% 218.17/218.61 ! [V_y,V_x,T_a] :
% 218.17/218.61 ( class_Orderings_Opreorder(T_a)
% 218.17/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.17/218.61 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_xt1_I10_J,axiom,
% 218.17/218.61 ! [V_z,V_x,V_y,T_a] :
% 218.17/218.61 ( class_Orderings_Oorder(T_a)
% 218.17/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 218.17/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 218.17/218.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_order__less__trans,axiom,
% 218.17/218.61 ! [V_z,V_y,V_x,T_a] :
% 218.17/218.61 ( class_Orderings_Opreorder(T_a)
% 218.17/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.17/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 218.17/218.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_xt1_I2_J,axiom,
% 218.17/218.61 ! [V_c,V_a,V_b,T_a] :
% 218.17/218.61 ( class_Orderings_Oorder(T_a)
% 218.17/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 218.17/218.61 => ( V_b = V_c
% 218.17/218.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_ord__less__eq__trans,axiom,
% 218.17/218.61 ! [V_c,V_b,V_a,T_a] :
% 218.17/218.61 ( class_Orderings_Oord(T_a)
% 218.17/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.17/218.61 => ( V_b = V_c
% 218.17/218.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_xt1_I1_J,axiom,
% 218.17/218.61 ! [V_c,V_b,V_a,T_a] :
% 218.17/218.61 ( class_Orderings_Oorder(T_a)
% 218.17/218.61 => ( V_a = V_b
% 218.17/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 218.17/218.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_ord__eq__less__trans,axiom,
% 218.17/218.61 ! [V_c,V_b,V_a,T_a] :
% 218.17/218.61 ( class_Orderings_Oord(T_a)
% 218.17/218.61 => ( V_a = V_b
% 218.17/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 218.17/218.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_xt1_I9_J,axiom,
% 218.17/218.61 ! [V_a,V_b,T_a] :
% 218.17/218.61 ( class_Orderings_Oorder(T_a)
% 218.17/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 218.17/218.61 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_order__less__asym_H,axiom,
% 218.17/218.61 ! [V_b,V_a,T_a] :
% 218.17/218.61 ( class_Orderings_Opreorder(T_a)
% 218.17/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.17/218.61 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 218.17/218.61
% 218.17/218.61 fof(fact_order__less__imp__not__eq2,axiom,
% 218.17/218.61 ! [V_y,V_x,T_a] :
% 218.17/218.61 ( class_Orderings_Oorder(T_a)
% 218.17/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.17/218.61 => V_y != V_x ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_order__less__imp__not__eq,axiom,
% 218.31/218.61 ! [V_y,V_x,T_a] :
% 218.31/218.61 ( class_Orderings_Oorder(T_a)
% 218.31/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.31/218.61 => V_x != V_y ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_order__less__imp__not__less,axiom,
% 218.31/218.61 ! [V_y,V_x,T_a] :
% 218.31/218.61 ( class_Orderings_Opreorder(T_a)
% 218.31/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.31/218.61 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_order__less__not__sym,axiom,
% 218.31/218.61 ! [V_y,V_x,T_a] :
% 218.31/218.61 ( class_Orderings_Opreorder(T_a)
% 218.31/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.31/218.61 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_less__imp__neq,axiom,
% 218.31/218.61 ! [V_y,V_x,T_a] :
% 218.31/218.61 ( class_Orderings_Oorder(T_a)
% 218.31/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.31/218.61 => V_x != V_y ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_linorder__neqE,axiom,
% 218.31/218.61 ! [V_y,V_x,T_a] :
% 218.31/218.61 ( class_Orderings_Olinorder(T_a)
% 218.31/218.61 => ( V_x != V_y
% 218.31/218.61 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.31/218.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_linorder__antisym__conv3,axiom,
% 218.31/218.61 ! [V_x_2,V_y_2,T_b] :
% 218.31/218.61 ( class_Orderings_Olinorder(T_b)
% 218.31/218.61 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 218.31/218.61 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 218.31/218.61 <=> V_x_2 = V_y_2 ) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_linorder__less__linear,axiom,
% 218.31/218.61 ! [V_y,V_x,T_a] :
% 218.31/218.61 ( class_Orderings_Olinorder(T_a)
% 218.31/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.31/218.61 | V_x = V_y
% 218.31/218.61 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_not__less__iff__gr__or__eq,axiom,
% 218.31/218.61 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.61 ( class_Orderings_Olinorder(T_b)
% 218.31/218.61 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 218.31/218.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 218.31/218.61 | V_x_2 = V_y_2 ) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_even__less__0__iff,axiom,
% 218.31/218.61 ! [V_a_2,T_b] :
% 218.31/218.61 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.61 => ( 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)))
% 218.31/218.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_pos__add__strict,axiom,
% 218.31/218.61 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.61 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 218.31/218.61 => 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))) ) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_termination__basic__simps_I2_J,axiom,
% 218.31/218.61 ! [V_y,V_z,V_x] :
% 218.31/218.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 218.31/218.61 => 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))) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_termination__basic__simps_I1_J,axiom,
% 218.31/218.61 ! [V_z,V_y,V_x] :
% 218.31/218.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 218.31/218.61 => 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))) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zero__less__int__conv,axiom,
% 218.31/218.61 ! [V_na_2] :
% 218.31/218.61 ( 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_na_2)))
% 218.31/218.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_double__eq__0__iff,axiom,
% 218.31/218.61 ! [V_a_2,T_b] :
% 218.31/218.61 ( class_Groups_Olinordered__ab__group__add(T_b)
% 218.31/218.61 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.61 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_add__0__iff,axiom,
% 218.31/218.61 ! [V_a_2,V_b_2,T_b] :
% 218.31/218.61 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 218.31/218.61 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 218.31/218.61 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 218.31/218.61 ! [V_a,T_a] :
% 218.31/218.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.61 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 218.31/218.61 ! [V_a,T_a] :
% 218.31/218.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.61 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_com_Osize_I3_J,axiom,
% 218.31/218.61 ! [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))) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_com_Osize_I11_J,axiom,
% 218.31/218.61 ! [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))) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zadd__0__right,axiom,
% 218.31/218.61 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zadd__0,axiom,
% 218.31/218.61 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 218.31/218.61
% 218.31/218.61 fof(fact_int__less__0__conv,axiom,
% 218.31/218.61 ! [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))) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zless__linear,axiom,
% 218.31/218.61 ! [V_y,V_x] :
% 218.31/218.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 218.31/218.61 | V_x = V_y
% 218.31/218.61 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zadd__strict__right__mono,axiom,
% 218.31/218.61 ! [V_k,V_j,V_i] :
% 218.31/218.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 218.31/218.61 => 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))) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_int__int__eq,axiom,
% 218.31/218.61 ! [V_na_2,V_m_2] :
% 218.31/218.61 ( 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_na_2)
% 218.31/218.61 <=> V_m_2 = V_na_2 ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_com_Osimps_I2_J,axiom,
% 218.31/218.61 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 218.31/218.61 ( 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)
% 218.31/218.61 <=> ( V_loc_2 = V_loc_H_2
% 218.31/218.61 & V_fun_2 = V_fun_H_2
% 218.31/218.61 & V_com_2 = V_com_H_2 ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zless__iff__Suc__zadd,axiom,
% 218.31/218.61 ! [V_z_2,V_w_2] :
% 218.31/218.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 218.31/218.61 <=> ? [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))) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zadd__int,axiom,
% 218.31/218.61 ! [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)) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zadd__int__left,axiom,
% 218.31/218.61 ! [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) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_com_Osimps_I39_J,axiom,
% 218.31/218.61 ! [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) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_com_Osimps_I38_J,axiom,
% 218.31/218.61 ! [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) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_com_Osimps_I37_J,axiom,
% 218.31/218.61 ! [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) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_com_Osimps_I36_J,axiom,
% 218.31/218.61 ! [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) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_com_Osimps_I35_J,axiom,
% 218.31/218.61 ! [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) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_com_Osimps_I34_J,axiom,
% 218.31/218.61 ! [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) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_com_Osimps_I10_J,axiom,
% 218.31/218.61 ! [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) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_com_Osimps_I11_J,axiom,
% 218.31/218.61 ! [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 ).
% 218.31/218.61
% 218.31/218.61 fof(fact_linorder__neqE__linordered__idom,axiom,
% 218.31/218.61 ! [V_y,V_x,T_a] :
% 218.31/218.61 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.61 => ( V_x != V_y
% 218.31/218.61 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.31/218.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 218.31/218.61 ! [V_c,V_a,T_a] :
% 218.31/218.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.61 => 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) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 218.31/218.61 ! [V_d,V_c,V_a,T_a] :
% 218.31/218.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.61 => 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)) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 218.31/218.61 ! [V_d,V_c,V_a,T_a] :
% 218.31/218.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.61 => 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) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 218.31/218.61 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.61 => 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)) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 218.31/218.61 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.61 => 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) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 218.31/218.61 ! [V_d,V_c,V_b,V_a,T_a] :
% 218.31/218.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.61 => 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)) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_int__eq__0__conv,axiom,
% 218.31/218.61 ! [V_na_2] :
% 218.31/218.61 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.61 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_int__0,axiom,
% 218.31/218.61 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) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zless__int,axiom,
% 218.31/218.61 ! [V_na_2,V_m_2] :
% 218.31/218.61 ( 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_na_2)))
% 218.31/218.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 218.31/218.61 ! [V_y_2,V_x_2] :
% 218.31/218.61 ( 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)))
% 218.31/218.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 218.31/218.61 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)) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 218.31/218.61 ! [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)) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zero__less__imp__eq__int,axiom,
% 218.31/218.61 ! [V_k] :
% 218.31/218.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 218.31/218.61 => ? [B_n] :
% 218.31/218.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 218.31/218.61 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_nat_Osize_I2_J,axiom,
% 218.31/218.61 ! [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))) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_of__int__less__0__iff,axiom,
% 218.31/218.61 ! [V_z_2,T_b] :
% 218.31/218.61 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.61 => ( 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)))
% 218.31/218.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_of__int__0__less__iff,axiom,
% 218.31/218.61 ! [V_z_2,T_b] :
% 218.31/218.61 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.61 => ( 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)))
% 218.31/218.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zmult__zless__mono2__lemma,axiom,
% 218.31/218.61 ! [V_k,V_j,V_i] :
% 218.31/218.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 218.31/218.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 218.31/218.61 => 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))) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_negative__zless__0,axiom,
% 218.31/218.61 ! [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))) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_nat_Osize_I4_J,axiom,
% 218.31/218.61 ! [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))) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_split__nat,axiom,
% 218.31/218.61 ! [V_i_2,V_P_2] :
% 218.31/218.61 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))
% 218.31/218.61 <=> ( ! [B_n] :
% 218.31/218.61 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 218.31/218.61 => hBOOL(hAPP(V_P_2,B_n)) )
% 218.31/218.61 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.61 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_negative__zless,axiom,
% 218.31/218.61 ! [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))) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zadd__zmult__distrib,axiom,
% 218.31/218.61 ! [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)) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zadd__assoc,axiom,
% 218.31/218.61 ! [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)) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zadd__zmult__distrib2,axiom,
% 218.31/218.61 ! [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)) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zadd__left__commute,axiom,
% 218.31/218.61 ! [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)) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zadd__commute,axiom,
% 218.31/218.61 ! [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) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zminus__zadd__distrib,axiom,
% 218.31/218.61 ! [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)) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zminus__zminus,axiom,
% 218.31/218.61 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 218.31/218.61
% 218.31/218.61 fof(fact_of__int__minus,axiom,
% 218.31/218.61 ! [V_z,T_a] :
% 218.31/218.61 ( class_Rings_Oring__1(T_a)
% 218.31/218.61 => 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)) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_minus__mult__right,axiom,
% 218.31/218.61 ! [V_b,V_a,T_a] :
% 218.31/218.61 ( class_Rings_Oring(T_a)
% 218.31/218.61 => 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)) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_minus__mult__left,axiom,
% 218.31/218.61 ! [V_b,V_a,T_a] :
% 218.31/218.61 ( class_Rings_Oring(T_a)
% 218.31/218.61 => 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) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_of__int__mult,axiom,
% 218.31/218.61 ! [V_z,V_w,T_a] :
% 218.31/218.61 ( class_Rings_Oring__1(T_a)
% 218.31/218.61 => 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)) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 218.31/218.61 ! [V_b,V_a,T_a] :
% 218.31/218.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.61 => 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) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_zmult__commute,axiom,
% 218.31/218.61 ! [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) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 218.31/218.61 ! [V_ry,V_rx,V_lx,T_a] :
% 218.31/218.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.61 => 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)) ) ).
% 218.31/218.61
% 218.31/218.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 218.31/218.61 ! [V_ry,V_rx,V_lx,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmult__zminus,axiom,
% 218.31/218.62 ! [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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_minus__mult__commute,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Oring(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__int__eq__iff,axiom,
% 218.31/218.62 ! [V_z_2,V_w_2,T_b] :
% 218.31/218.62 ( class_Int_Oring__char__0(T_b)
% 218.31/218.62 => ( 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)
% 218.31/218.62 <=> V_w_2 = V_z_2 ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_minus__mult__minus,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Oring(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 218.31/218.62 ! [V_rx,V_ly,V_lx,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmult__assoc,axiom,
% 218.31/218.62 ! [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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 218.31/218.62 ! [V_rx,V_ly,V_lx,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 218.31/218.62 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 218.31/218.62 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 218.31/218.62 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_square__eq__iff,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Rings_Oidom(T_b)
% 218.31/218.62 => ( 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)
% 218.31/218.62 <=> ( V_a_2 = V_b_2
% 218.31/218.62 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__size,axiom,
% 218.31/218.62 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 218.31/218.62
% 218.31/218.62 fof(fact_minus__minus,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.62 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_equation__minus__iff,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Ogroup__add(T_b)
% 218.31/218.62 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 218.31/218.62 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_minus__equation__iff,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Ogroup__add(T_b)
% 218.31/218.62 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 218.31/218.62 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_neg__equal__iff__equal,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Ogroup__add(T_b)
% 218.31/218.62 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 218.31/218.62 <=> V_a_2 = V_b_2 ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oab__semigroup__mult(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__nat__mult,axiom,
% 218.31/218.62 ! [V_n,V_m,T_a] :
% 218.31/218.62 ( class_Rings_Osemiring__1(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__int__of__nat,axiom,
% 218.31/218.62 ! [V_k,T_a] :
% 218.31/218.62 ( class_Rings_Oring__1(T_a)
% 218.31/218.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 => 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)))) )
% 218.31/218.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 => 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)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__zminus__int,axiom,
% 218.31/218.62 ! [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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_neg__equal__zero,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Olinordered__ab__group__add(T_b)
% 218.31/218.62 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 218.31/218.62 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_neg__equal__0__iff__equal,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Ogroup__add(T_b)
% 218.31/218.62 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.62 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_equal__neg__zero,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Olinordered__ab__group__add(T_b)
% 218.31/218.62 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 218.31/218.62 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_neg__0__equal__iff__equal,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Ogroup__add(T_b)
% 218.31/218.62 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 218.31/218.62 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_minus__zero,axiom,
% 218.31/218.62 ! [T_a] :
% 218.31/218.62 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.62 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_neg__less__iff__less,axiom,
% 218.31/218.62 ! [V_a_2,V_b_2,T_b] :
% 218.31/218.62 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_minus__less__iff,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_less__minus__iff,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_minus__add__distrib,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oab__group__add(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_minus__add,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__minus__cancel,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.62 => 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 ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_minus__add__cancel,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.62 => 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 ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_divisors__zero,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Ono__zero__divisors(T_a)
% 218.31/218.62 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.62 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.62 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_no__zero__divisors,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Ono__zero__divisors(T_a)
% 218.31/218.62 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.62 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.62 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__eq__0__iff,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Rings_Oring__no__zero__divisors(T_b)
% 218.31/218.62 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.62 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.62 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__zero__right,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Rings_Omult__zero(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__zero__left,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Rings_Omult__zero(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zminus__0,axiom,
% 218.31/218.62 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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zadd__zminus__inverse2,axiom,
% 218.31/218.62 ! [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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__int,axiom,
% 218.31/218.62 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 218.31/218.62
% 218.31/218.62 fof(fact_crossproduct__eq,axiom,
% 218.31/218.62 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 218.31/218.62 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 218.31/218.62 => ( 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))
% 218.31/218.62 <=> ( V_w_2 = V_x_2
% 218.31/218.62 | V_y_2 = V_z_2 ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_combine__common__factor,axiom,
% 218.31/218.62 ! [V_c,V_b,V_e,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Osemiring(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 218.31/218.62 ! [V_b,V_m,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__class_Odistrib,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_crossproduct__noteq,axiom,
% 218.31/218.62 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 218.31/218.62 => ( ( V_a_2 != V_b_2
% 218.31/218.62 & V_c_2 != V_d_2 )
% 218.31/218.62 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 218.31/218.62 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat_Osize_I3_J,axiom,
% 218.31/218.62 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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__int__add,axiom,
% 218.31/218.62 ! [V_z,V_w,T_a] :
% 218.31/218.62 ( class_Rings_Oring__1(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 218.31/218.62 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__int__int__eq,axiom,
% 218.31/218.62 ! [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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat_Osize_I1_J,axiom,
% 218.31/218.62 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_neg__0__less__iff__less,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_neg__less__0__iff__less,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_neg__less__nonneg,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Olinordered__ab__group__add(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_less__minus__self__iff,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_right__minus,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Ogroup__add(T_b)
% 218.31/218.62 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 218.31/218.62 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_left__minus,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_ab__left__minus,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oab__group__add(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_minus__unique,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.62 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.62 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__0,axiom,
% 218.31/218.62 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_not__square__less__zero,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__ring(T_a)
% 218.31/218.62 => ~ 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__less__cancel__right__disj,axiom,
% 218.31/218.62 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__ring__strict(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)))
% 218.31/218.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 218.31/218.62 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__less__cancel__left__disj,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__ring__strict(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 218.31/218.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 218.31/218.62 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__less__cancel__left__pos,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__ring__strict(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__pos__pos,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__pos__neg,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__pos__neg2,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zero__less__mult__pos,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zero__less__mult__pos2,axiom,
% 218.31/218.62 ! [V_a,V_b,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__less__cancel__left__neg,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__ring__strict(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__neg__pos,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__neg__neg,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__ring__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__strict__right__mono,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__strict__left__mono,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__mult__strict__left__mono,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__strict__right__mono__neg,axiom,
% 218.31/218.62 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__ring__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__strict__left__mono__neg,axiom,
% 218.31/218.62 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__ring__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sum__squares__eq__zero__iff,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__ring__strict(T_b)
% 218.31/218.62 => ( 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)
% 218.31/218.62 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.62 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__scale__eq__noteq,axiom,
% 218.31/218.62 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 218.31/218.62 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 218.31/218.62 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.62 => ( ( V_a = V_b
% 218.31/218.62 & V_c != V_d )
% 218.31/218.62 => 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)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_negative__eq__positive,axiom,
% 218.31/218.62 ! [V_m_2,V_na_2] :
% 218.31/218.62 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)
% 218.31/218.62 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.62 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_not__int__zless__negative,axiom,
% 218.31/218.62 ! [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)))) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmult__zless__mono2,axiom,
% 218.31/218.62 ! [V_k,V_j,V_i] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__int__eq__0__iff,axiom,
% 218.31/218.62 ! [V_z_2,T_b] :
% 218.31/218.62 ( class_Int_Oring__char__0(T_b)
% 218.31/218.62 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.62 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__int__0__eq__iff,axiom,
% 218.31/218.62 ! [V_z_2,T_b] :
% 218.31/218.62 ( class_Int_Oring__char__0(T_b)
% 218.31/218.62 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 218.31/218.62 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__int__0,axiom,
% 218.31/218.62 ! [T_a] :
% 218.31/218.62 ( class_Rings_Oring__1(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__int__less__iff,axiom,
% 218.31/218.62 ! [V_z_2,V_w_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__int__of__nat__eq,axiom,
% 218.31/218.62 ! [V_n,T_a] :
% 218.31/218.62 ( class_Rings_Oring__1(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__mono__iff,axiom,
% 218.31/218.62 ! [V_w_2,V_z_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zless__nat__conj,axiom,
% 218.31/218.62 ! [V_z_2,V_w_2] :
% 218.31/218.62 ( 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)))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zless__nat__eq__int__zless,axiom,
% 218.31/218.62 ! [V_z_2,V_m_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 218.31/218.62 <=> 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sum__squares__gt__zero__iff,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__ring__strict(T_b)
% 218.31/218.62 => ( 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))))
% 218.31/218.62 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.62 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_not__sum__squares__lt__zero,axiom,
% 218.31/218.62 ! [V_y,V_x,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__ring(T_a)
% 218.31/218.62 => ~ 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2] :
% 218.31/218.62 ( 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)
% 218.31/218.62 <=> V_x_2 = V_y_2 ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zero__less__nat__eq,axiom,
% 218.31/218.62 ! [V_z_2] :
% 218.31/218.62 ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__aux__def,axiom,
% 218.31/218.62 ! [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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_negD,axiom,
% 218.31/218.62 ! [V_x] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 => ? [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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__less__iff,axiom,
% 218.31/218.62 ! [V_m_2,V_w_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 218.31/218.62 <=> 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_one__less__nat__eq,axiom,
% 218.31/218.62 ! [V_z_2] :
% 218.31/218.62 ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_bool_Osize_I2_J,axiom,
% 218.31/218.62 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_bool_Osize_I1_J,axiom,
% 218.31/218.62 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__nat__nat,axiom,
% 218.31/218.62 ! [V_z,T_a] :
% 218.31/218.62 ( class_Rings_Oring__1(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 218.31/218.62 => 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) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_not__zle__0__negative,axiom,
% 218.31/218.62 ! [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))))) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 218.31/218.62 ! [V_y,V_x] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 218.31/218.62 => 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)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__add__distrib,axiom,
% 218.31/218.62 ! [V_z_H,V_z] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 218.31/218.62 => 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)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__eq__iff2,axiom,
% 218.31/218.62 ! [V_w_2,V_m_2] :
% 218.31/218.62 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 218.31/218.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 218.31/218.62 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 218.31/218.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 218.31/218.62 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_order__refl,axiom,
% 218.31/218.62 ! [V_x,T_a] :
% 218.31/218.62 ( class_Orderings_Opreorder(T_a)
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_negative__zle,axiom,
% 218.31/218.62 ! [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))) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__mult__commute,axiom,
% 218.31/218.62 ! [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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__mult__assoc,axiom,
% 218.31/218.62 ! [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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_linorder__le__cases,axiom,
% 218.31/218.62 ! [V_y,V_x,T_a] :
% 218.31/218.62 ( class_Orderings_Olinorder(T_a)
% 218.31/218.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__funE,axiom,
% 218.31/218.62 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 218.31/218.62 ( class_Orderings_Oord(T_c)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_xt1_I6_J,axiom,
% 218.31/218.62 ! [V_z,V_x,V_y,T_a] :
% 218.31/218.62 ( class_Orderings_Oorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_xt1_I5_J,axiom,
% 218.31/218.62 ! [V_x,V_y,T_a] :
% 218.31/218.62 ( class_Orderings_Oorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.62 => V_x = V_y ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_order__trans,axiom,
% 218.31/218.62 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.62 ( class_Orderings_Opreorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_order__antisym,axiom,
% 218.31/218.62 ! [V_y,V_x,T_a] :
% 218.31/218.62 ( class_Orderings_Oorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 218.31/218.62 => V_x = V_y ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_xt1_I4_J,axiom,
% 218.31/218.62 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.62 ( class_Orderings_Oorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 218.31/218.62 => ( V_b = V_c
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_ord__le__eq__trans,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Orderings_Oord(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.62 => ( V_b = V_c
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_xt1_I3_J,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Orderings_Oorder(T_a)
% 218.31/218.62 => ( V_a = V_b
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_ord__eq__le__trans,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Orderings_Oord(T_a)
% 218.31/218.62 => ( V_a = V_b
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_order__antisym__conv,axiom,
% 218.31/218.62 ! [V_x_2,V_y_2,T_b] :
% 218.31/218.62 ( class_Orderings_Oorder(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.31/218.62 <=> V_x_2 = V_y_2 ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__funD,axiom,
% 218.31/218.62 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 218.31/218.62 ( class_Orderings_Oord(T_c)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_order__eq__refl,axiom,
% 218.31/218.62 ! [V_y,V_x,T_a] :
% 218.31/218.62 ( class_Orderings_Opreorder(T_a)
% 218.31/218.62 => ( V_x = V_y
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_order__eq__iff,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.62 ( class_Orderings_Oorder(T_b)
% 218.31/218.62 => ( V_x_2 = V_y_2
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_linorder__linear,axiom,
% 218.31/218.62 ! [V_y,V_x,T_a] :
% 218.31/218.62 ( class_Orderings_Olinorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__fun__def,axiom,
% 218.31/218.62 ! [V_g_2,V_f_2,T_b,T_c] :
% 218.31/218.62 ( class_Orderings_Oord(T_c)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 218.31/218.62 <=> ! [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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_one__reorient,axiom,
% 218.31/218.62 ! [V_x_2,T_b] :
% 218.31/218.62 ( class_Groups_Oone(T_b)
% 218.31/218.62 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 218.31/218.62 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zle__antisym,axiom,
% 218.31/218.62 ! [V_w,V_z] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 218.31/218.62 => V_z = V_w ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zle__trans,axiom,
% 218.31/218.62 ! [V_k,V_j,V_i] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zle__linear,axiom,
% 218.31/218.62 ! [V_w,V_z] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 218.31/218.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zle__refl,axiom,
% 218.31/218.62 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_not__one__le__zero,axiom,
% 218.31/218.62 ! [T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.62 => ~ 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zero__le__one,axiom,
% 218.31/218.62 ! [T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 218.31/218.62 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))) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__nat__1,axiom,
% 218.31/218.62 ! [T_a] :
% 218.31/218.62 ( class_Rings_Osemiring__1(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__nat__le__iff,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__semidom(T_b)
% 218.31/218.62 => ( 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_na_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__int__le__iff,axiom,
% 218.31/218.62 ! [V_z_2,V_w_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__int__1,axiom,
% 218.31/218.62 ! [T_a] :
% 218.31/218.62 ( class_Rings_Oring__1(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__left__le__one__le,axiom,
% 218.31/218.62 ! [V_y,V_x,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 218.31/218.62 => 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)) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__right__le__one__le,axiom,
% 218.31/218.62 ! [V_y,V_x,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 218.31/218.62 => 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)) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_int__one__le__iff__zero__less,axiom,
% 218.31/218.62 ! [V_z_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zle__add1__eq__le,axiom,
% 218.31/218.62 ! [V_z_2,V_w_2] :
% 218.31/218.62 ( 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))))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add1__zle__eq,axiom,
% 218.31/218.62 ! [V_z_2,V_w_2] :
% 218.31/218.62 ( 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))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zless__imp__add1__zle,axiom,
% 218.31/218.62 ! [V_z,V_w] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_one__neq__zero,axiom,
% 218.31/218.62 ! [T_a] :
% 218.31/218.62 ( class_Rings_Ozero__neq__one(T_a)
% 218.31/218.62 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zero__neq__one,axiom,
% 218.31/218.62 ! [T_a] :
% 218.31/218.62 ( class_Rings_Ozero__neq__one(T_a)
% 218.31/218.62 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_linorder__not__less,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.62 ( class_Orderings_Olinorder(T_b)
% 218.31/218.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_linorder__not__le,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.62 ( class_Orderings_Olinorder(T_b)
% 218.31/218.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_linorder__le__less__linear,axiom,
% 218.31/218.62 ! [V_y,V_x,T_a] :
% 218.31/218.62 ( class_Orderings_Olinorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_order__less__le,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.62 ( class_Orderings_Oorder(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.31/218.62 & V_x_2 != V_y_2 ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_less__le__not__le,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.62 ( class_Orderings_Opreorder(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.31/218.62 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_order__le__less,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.62 ( class_Orderings_Oorder(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 218.31/218.62 | V_x_2 = V_y_2 ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_leI,axiom,
% 218.31/218.62 ! [V_y,V_x,T_a] :
% 218.31/218.62 ( class_Orderings_Olinorder(T_a)
% 218.31/218.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_not__leE,axiom,
% 218.31/218.62 ! [V_x,V_y,T_a] :
% 218.31/218.62 ( class_Orderings_Olinorder(T_a)
% 218.31/218.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_linorder__antisym__conv1,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.62 ( class_Orderings_Olinorder(T_b)
% 218.31/218.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.31/218.62 <=> V_x_2 = V_y_2 ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_order__neq__le__trans,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Orderings_Oorder(T_a)
% 218.31/218.62 => ( V_a != V_b
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_xt1_I12_J,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Orderings_Oorder(T_a)
% 218.31/218.62 => ( V_a != V_b
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_leD,axiom,
% 218.31/218.62 ! [V_x,V_y,T_a] :
% 218.31/218.62 ( class_Orderings_Olinorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 218.31/218.62 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_order__less__imp__le,axiom,
% 218.31/218.62 ! [V_y,V_x,T_a] :
% 218.31/218.62 ( class_Orderings_Opreorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_linorder__antisym__conv2,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.62 ( class_Orderings_Olinorder(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.31/218.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 218.31/218.62 <=> V_x_2 = V_y_2 ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_order__le__imp__less__or__eq,axiom,
% 218.31/218.62 ! [V_y,V_x,T_a] :
% 218.31/218.62 ( class_Orderings_Oorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.31/218.62 | V_x = V_y ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_order__le__neq__trans,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Orderings_Oorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.62 => ( V_a != V_b
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_xt1_I11_J,axiom,
% 218.31/218.62 ! [V_a,V_b,T_a] :
% 218.31/218.62 ( class_Orderings_Oorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 218.31/218.62 => ( V_a != V_b
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_order__less__le__trans,axiom,
% 218.31/218.62 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.62 ( class_Orderings_Opreorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_xt1_I7_J,axiom,
% 218.31/218.62 ! [V_z,V_x,V_y,T_a] :
% 218.31/218.62 ( class_Orderings_Oorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_order__le__less__trans,axiom,
% 218.31/218.62 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.62 ( class_Orderings_Opreorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_xt1_I8_J,axiom,
% 218.31/218.62 ! [V_z,V_x,V_y,T_a] :
% 218.31/218.62 ( class_Orderings_Oorder(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult_Ocomm__neutral,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Groups_Ocomm__monoid__mult(T_a)
% 218.31/218.62 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__1__right,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Groups_Omonoid__mult(T_a)
% 218.31/218.62 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__1,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Groups_Ocomm__monoid__mult(T_a)
% 218.31/218.62 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__1__left,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Groups_Omonoid__mult(T_a)
% 218.31/218.62 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__le__imp__le__left,axiom,
% 218.31/218.62 ! [V_b,V_a,V_c,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__le__imp__le__right,axiom,
% 218.31/218.62 ! [V_b,V_c,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__mono,axiom,
% 218.31/218.62 ! [V_d,V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__left__mono,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__right__mono,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__le__cancel__left,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 218.31/218.62 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__le__cancel__right,axiom,
% 218.31/218.62 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__cancel2,axiom,
% 218.31/218.62 ! [V_na_2,V_k_2,V_m_2] :
% 218.31/218.62 ( 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_na_2),V_k_2)
% 218.31/218.62 <=> ( V_m_2 = V_na_2
% 218.31/218.62 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__cancel1,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.62 ( 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_na_2)
% 218.31/218.62 <=> ( V_m_2 = V_na_2
% 218.31/218.62 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__is__0,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.62 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.62 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__0__right,axiom,
% 218.31/218.62 ! [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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__0,axiom,
% 218.31/218.62 ! [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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Suc__mult__cancel1,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.62 ( 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_na_2)
% 218.31/218.62 <=> V_m_2 = V_na_2 ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__imp__neg__le,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__ab__group__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_neg__le__iff__le,axiom,
% 218.31/218.62 ! [V_a_2,V_b_2,T_b] :
% 218.31/218.62 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_minus__le__iff,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.62 => ( 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))
% 218.31/218.62 <=> 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)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__minus__iff,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__mult__distrib,axiom,
% 218.31/218.62 ! [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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__mult__distrib2,axiom,
% 218.31/218.62 ! [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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 218.31/218.62 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))) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_int__0__neq__1,axiom,
% 218.31/218.62 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zless__le,axiom,
% 218.31/218.62 ! [V_w_2,V_z_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 218.31/218.62 & V_z_2 != V_w_2 ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zadd__left__mono,axiom,
% 218.31/218.62 ! [V_k,V_j,V_i] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmult__1__right,axiom,
% 218.31/218.62 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmult__1,axiom,
% 218.31/218.62 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 218.31/218.62
% 218.31/218.62 fof(fact_convex__bound__le,axiom,
% 218.31/218.62 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__1(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 218.31/218.62 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 218.31/218.62 => 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)) ) ) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__imp__0__less,axiom,
% 218.31/218.62 ! [V_z] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 218.31/218.62 ! [V_y,V_x] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 218.31/218.62 => 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)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__mult__distrib,axiom,
% 218.31/218.62 ! [V_z_H,V_z] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__int__0__le__iff,axiom,
% 218.31/218.62 ! [V_z_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__int__le__0__iff,axiom,
% 218.31/218.62 ! [V_z_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_convex__bound__lt,axiom,
% 218.31/218.62 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 218.31/218.62 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 218.31/218.62 => 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)) ) ) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 218.31/218.62 ! [V_z] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zero__less__one,axiom,
% 218.31/218.62 ! [T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_not__one__less__zero,axiom,
% 218.31/218.62 ! [T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.62 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__mult__distrib__neg,axiom,
% 218.31/218.62 ! [V_z_H,V_z] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_less__add__one,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.62 => 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)))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_less__1__mult,axiom,
% 218.31/218.62 ! [V_n,V_m,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 218.31/218.62 ! [V_m,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 218.31/218.62 ! [V_a,V_m,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 218.31/218.62 ! [V_m,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__nonpos__nonpos,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__increasing2,axiom,
% 218.31/218.62 ! [V_a,V_b,V_c,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__increasing,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__nonneg__eq__0__iff,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.62 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 218.31/218.62 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.62 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.62 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__nonneg__nonneg,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Olinordered__ab__group__add(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Olinordered__ab__group__add(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zero__le__square,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__ring(T_a)
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zero__le__mult__iff,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__ring__strict(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 218.31/218.62 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__le__0__iff,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__ring__strict(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 218.31/218.62 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__nonneg__nonneg,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Oordered__cancel__semiring(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__nonneg__nonpos,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Oordered__cancel__semiring(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__nonneg__nonpos2,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Oordered__cancel__semiring(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__nonpos__nonneg,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Oordered__cancel__semiring(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__nonpos__nonpos,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Oordered__ring(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__right__mono,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Oordered__semiring(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__left__mono,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Oordered__semiring(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__mult__left__mono,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Oordered__comm__semiring(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__right__mono__neg,axiom,
% 218.31/218.62 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.62 ( class_Rings_Oordered__ring(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__left__mono__neg,axiom,
% 218.31/218.62 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.62 ( class_Rings_Oordered__ring(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__mono_H,axiom,
% 218.31/218.62 ! [V_d,V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Oordered__semiring(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => 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))) ) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__mono,axiom,
% 218.31/218.62 ! [V_d,V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Oordered__semiring(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => 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))) ) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_split__mult__pos__le,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Oordered__ring(T_a)
% 218.31/218.62 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 218.31/218.62 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_split__mult__neg__le,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Oordered__cancel__semiring(T_a)
% 218.31/218.62 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 218.31/218.62 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__less__le__mono,axiom,
% 218.31/218.62 ! [V_d,V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__le__less__mono,axiom,
% 218.31/218.62 ! [V_d,V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_square__eq__1__iff,axiom,
% 218.31/218.62 ! [V_x_2,T_b] :
% 218.31/218.62 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 218.31/218.62 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 218.31/218.62 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 218.31/218.62 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 218.31/218.62 ! [V_x,T_a] :
% 218.31/218.62 ( class_Rings_Ocomm__ring__1(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_minus__le__self__iff,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Olinordered__ab__group__add(T_b)
% 218.31/218.62 => ( 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))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_neg__le__0__iff__le,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__minus__self__iff,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Olinordered__ab__group__add(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_neg__0__le__iff__le,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__eq__1__iff,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 218.31/218.62 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 218.31/218.62 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__nat__0__le__iff,axiom,
% 218.31/218.62 ! [V_n,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zero__le__imp__of__nat,axiom,
% 218.31/218.62 ! [V_m,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__less__mono2,axiom,
% 218.31/218.62 ! [V_k,V_j,V_i] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__less__mono1,axiom,
% 218.31/218.62 ! [V_k,V_j,V_i] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__less__cancel2,axiom,
% 218.31/218.62 ! [V_na_2,V_k_2,V_m_2] :
% 218.31/218.62 ( 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_na_2),V_k_2)))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__less__cancel1,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.62 ( 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_na_2)))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__0__less__mult__iff,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( 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_na_2)))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Suc__mult__less__cancel1,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.62 ( 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_na_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__Suc__right,axiom,
% 218.31/218.62 ! [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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__Suc,axiom,
% 218.31/218.62 ! [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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 218.31/218.62 ! [V_y,V_x] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_int__0__less__1,axiom,
% 218.31/218.62 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))) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zero__zle__int,axiom,
% 218.31/218.62 ! [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))) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 218.31/218.62 ! [V_P_2] :
% 218.31/218.62 ( ! [B_x] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 218.31/218.62 => hBOOL(hAPP(V_P_2,B_x)) )
% 218.31/218.62 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 218.31/218.62 ! [V_P_2] :
% 218.31/218.62 ( ? [B_x] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 218.31/218.62 & hBOOL(hAPP(V_P_2,B_x)) )
% 218.31/218.62 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 218.31/218.62 ! [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))) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_eq__nat__nat__iff,axiom,
% 218.31/218.62 ! [V_z_H_2,V_z_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 218.31/218.62 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 218.31/218.62 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 218.31/218.62 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 218.31/218.62 <=> V_x_2 = V_y_2 ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_all__nat,axiom,
% 218.31/218.62 ! [V_P_2] :
% 218.31/218.62 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 218.31/218.62 <=> ! [B_x] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 218.31/218.62 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_ex__nat,axiom,
% 218.31/218.62 ! [V_P_2] :
% 218.31/218.62 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 218.31/218.62 <=> ? [B_x] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 218.31/218.62 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zadd__zless__mono,axiom,
% 218.31/218.62 ! [V_z,V_z_H,V_w,V_w_H] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 218.31/218.62 ! [V_y,V_x] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_odd__nonzero,axiom,
% 218.31/218.62 ! [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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmult__int,axiom,
% 218.31/218.62 ! [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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_int__mult,axiom,
% 218.31/218.62 ! [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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 218.31/218.62 ! [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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zless__add1__eq,axiom,
% 218.31/218.62 ! [V_z_2,V_w_2] :
% 218.31/218.62 ( 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))))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 218.31/218.62 | V_w_2 = V_z_2 ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zle__iff__zadd,axiom,
% 218.31/218.62 ! [V_z_2,V_w_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 218.31/218.62 <=> ? [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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zero__less__two,axiom,
% 218.31/218.62 ! [T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.62 => 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)))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__nonpos__neg,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__neg__nonpos,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__strict__increasing2,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__strict__increasing,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__nonneg__pos,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__pos__nonneg,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__left__le__imp__le,axiom,
% 218.31/218.62 ! [V_b,V_a,V_c,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__right__le__imp__le,axiom,
% 218.31/218.62 ! [V_b,V_c,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__less__imp__less__left,axiom,
% 218.31/218.62 ! [V_b,V_a,V_c,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__left__less__imp__less,axiom,
% 218.31/218.62 ! [V_b,V_a,V_c,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring(T_a)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__less__imp__less__right,axiom,
% 218.31/218.62 ! [V_b,V_c,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__right__less__imp__less,axiom,
% 218.31/218.62 ! [V_b,V_c,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring(T_a)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__le__less__imp__less,axiom,
% 218.31/218.62 ! [V_d,V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => 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))) ) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__less__le__imp__less,axiom,
% 218.31/218.62 ! [V_d,V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => 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))) ) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__strict__mono_H,axiom,
% 218.31/218.62 ! [V_d,V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => 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))) ) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__strict__mono,axiom,
% 218.31/218.62 ! [V_d,V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__semiring__strict(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.62 => 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))) ) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__le__cancel__left__neg,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__ring__strict(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__le__cancel__left__pos,axiom,
% 218.31/218.62 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__ring__strict(T_b)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sum__squares__le__zero__iff,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__ring__strict(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.62 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sum__squares__ge__zero,axiom,
% 218.31/218.62 ! [V_y,V_x,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__ring(T_a)
% 218.31/218.62 => 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)))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_of__nat__Suc,axiom,
% 218.31/218.62 ! [V_m,T_a] :
% 218.31/218.62 ( class_Rings_Osemiring__1(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_one__less__mult,axiom,
% 218.31/218.62 ! [V_m,V_n] :
% 218.31/218.62 ( 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))
% 218.31/218.62 => ( 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))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_n__less__n__mult__m,axiom,
% 218.31/218.62 ! [V_m,V_n] :
% 218.31/218.62 ( 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))
% 218.31/218.62 => ( 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))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_n__less__m__mult__n,axiom,
% 218.31/218.62 ! [V_m,V_n] :
% 218.31/218.62 ( 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))
% 218.31/218.62 => ( 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))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_int__le__0__conv,axiom,
% 218.31/218.62 ! [V_na_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__0__iff,axiom,
% 218.31/218.62 ! [V_i_2] :
% 218.31/218.62 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__le__0,axiom,
% 218.31/218.62 ! [V_z] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_int__Suc0__eq__1,axiom,
% 218.31/218.62 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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__1,axiom,
% 218.31/218.62 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_odd__less__0,axiom,
% 218.31/218.62 ! [V_z_2] :
% 218.31/218.62 ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__0__le,axiom,
% 218.31/218.62 ! [V_z] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 218.31/218.62 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_int__eq__iff,axiom,
% 218.31/218.62 ! [V_z_2,V_m_2] :
% 218.31/218.62 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 218.31/218.62 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_int__nat__eq,axiom,
% 218.31/218.62 ! [V_z] :
% 218.31/218.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 218.31/218.62 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 218.31/218.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 218.31/218.62 => 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) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_pos__zmult__eq__1__iff,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 218.31/218.62 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 218.31/218.62 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 218.31/218.62 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_int__Suc,axiom,
% 218.31/218.62 ! [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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_int__zle__neg,axiom,
% 218.31/218.62 ! [V_m_2,V_na_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))))
% 218.31/218.62 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.62 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_negative__zle__0,axiom,
% 218.31/218.62 ! [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))) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__less__eq__zless,axiom,
% 218.31/218.62 ! [V_z_2,V_w_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__eq__iff,axiom,
% 218.31/218.62 ! [V_m_2,V_w_2] :
% 218.31/218.62 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 218.31/218.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 218.31/218.62 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 218.31/218.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 218.31/218.62 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_self__quotient__aux2,axiom,
% 218.31/218.62 ! [V_q,V_r,V_a] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.62 => ( 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))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_self__quotient__aux1,axiom,
% 218.31/218.62 ! [V_q,V_r,V_a] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.62 => ( 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))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 218.31/218.62 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 218.31/218.62 ( 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)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_unique__quotient__lemma__neg,axiom,
% 218.31/218.62 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 218.31/218.62 ( 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)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zdiv__mono2__lemma,axiom,
% 218.31/218.62 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 218.31/218.62 ( 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)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_unique__quotient__lemma,axiom,
% 218.31/218.62 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 218.31/218.62 ( 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)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_q__neg__lemma,axiom,
% 218.31/218.62 ! [V_r_H,V_q_H,V_b_H] :
% 218.31/218.62 ( 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)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_q__pos__lemma,axiom,
% 218.31/218.62 ! [V_r_H,V_q_H,V_b_H] :
% 218.31/218.62 ( 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)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__mult__less__cancel1,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 218.31/218.62 => ( 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_na_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__mult__eq__cancel1,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 218.31/218.62 => ( 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_na_2)
% 218.31/218.62 <=> V_m_2 = V_na_2 ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le0,axiom,
% 218.31/218.62 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__antisym,axiom,
% 218.31/218.62 ! [V_n,V_m] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 218.31/218.62 => V_m = V_n ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__trans,axiom,
% 218.31/218.62 ! [V_k,V_j,V_i] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_eq__imp__le,axiom,
% 218.31/218.62 ! [V_n,V_m] :
% 218.31/218.62 ( V_m = V_n
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__le__linear,axiom,
% 218.31/218.62 ! [V_n,V_m] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 218.31/218.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__refl,axiom,
% 218.31/218.62 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_less__fun__def,axiom,
% 218.31/218.62 ! [V_g_2,V_f_2,T_b,T_c] :
% 218.31/218.62 ( class_Orderings_Oord(T_c)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 218.31/218.62 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 218.31/218.62 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__0__eq,axiom,
% 218.31/218.62 ! [V_na_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 218.31/218.62 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Suc__n__not__le__n,axiom,
% 218.31/218.62 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_not__less__eq__eq,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__Suc__eq,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.62 | V_m_2 = hAPP(c_Nat_OSuc,V_na_2) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Suc__le__mono,axiom,
% 218.31/218.62 ! [V_m_2,V_na_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Nat_OSuc,V_m_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__SucI,axiom,
% 218.31/218.62 ! [V_n,V_m] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__SucE,axiom,
% 218.31/218.62 ! [V_n,V_m] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 218.31/218.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 218.31/218.62 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Suc__leD,axiom,
% 218.31/218.62 ! [V_n,V_m] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__less__le,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.62 & V_m_2 != V_na_2 ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__eq__less__or__eq,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.62 | V_m_2 = V_na_2 ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_less__imp__le__nat,axiom,
% 218.31/218.62 ! [V_n,V_m] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__neq__implies__less,axiom,
% 218.31/218.62 ! [V_n,V_m] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 218.31/218.62 => ( V_m != V_n
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_less__or__eq__imp__le,axiom,
% 218.31/218.62 ! [V_n,V_m] :
% 218.31/218.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.62 | V_m = V_n )
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_termination__basic__simps_I5_J,axiom,
% 218.31/218.62 ! [V_y,V_x] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__add2,axiom,
% 218.31/218.62 ! [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))) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__add1,axiom,
% 218.31/218.62 ! [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))) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__iff__add,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.62 <=> ? [B_k] : V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__add__left__cancel__le,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.62 ( 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_na_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_trans__le__add1,axiom,
% 218.31/218.62 ! [V_m,V_j,V_i] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_trans__le__add2,axiom,
% 218.31/218.62 ! [V_m,V_j,V_i] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__le__mono1,axiom,
% 218.31/218.62 ! [V_k,V_j,V_i] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__le__mono,axiom,
% 218.31/218.62 ! [V_l,V_k,V_j,V_i] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__leD2,axiom,
% 218.31/218.62 ! [V_n,V_k,V_m] :
% 218.31/218.62 ( 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))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__leD1,axiom,
% 218.31/218.62 ! [V_n,V_k,V_m] :
% 218.31/218.62 ( 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))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_add__leE,axiom,
% 218.31/218.62 ! [V_n,V_k,V_m] :
% 218.31/218.62 ( 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))
% 218.31/218.62 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 218.31/218.62 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_termination__basic__simps_I4_J,axiom,
% 218.31/218.62 ! [V_y,V_z,V_x] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_termination__basic__simps_I3_J,axiom,
% 218.31/218.62 ! [V_z,V_y,V_x] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__le__mono,axiom,
% 218.31/218.62 ! [V_l,V_k,V_j,V_i] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__le__mono2,axiom,
% 218.31/218.62 ! [V_k,V_j,V_i] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__le__mono1,axiom,
% 218.31/218.62 ! [V_k,V_j,V_i] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__cube,axiom,
% 218.31/218.62 ! [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)))) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__square,axiom,
% 218.31/218.62 ! [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))) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__mult__eq__1__iff,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 218.31/218.62 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 218.31/218.62 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__mult__1__right,axiom,
% 218.31/218.62 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__1__eq__mult__iff,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)
% 218.31/218.62 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 218.31/218.62 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__mult__1,axiom,
% 218.31/218.62 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 218.31/218.62
% 218.31/218.62 fof(fact_evaln__nonstrict,axiom,
% 218.31/218.62 ! [V_m,V_t,V_n,V_s,V_c] :
% 218.31/218.62 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 218.31/218.62 => c_Natural_Oevaln(V_c,V_s,V_m,V_t) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__mult__le__cancel1,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 218.31/218.62 => ( 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_na_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_One__nat__def,axiom,
% 218.31/218.62 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Suc__le__lessD,axiom,
% 218.31/218.62 ! [V_n,V_m] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__less__Suc__eq,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 218.31/218.62 <=> V_na_2 = V_m_2 ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Suc__leI,axiom,
% 218.31/218.62 ! [V_n,V_m] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_le__imp__less__Suc,axiom,
% 218.31/218.62 ! [V_n,V_m] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Suc__le__eq,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_less__Suc__eq__le,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_less__eq__Suc__le,axiom,
% 218.31/218.62 ! [V_m_2,V_na_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Suc__eq__plus1,axiom,
% 218.31/218.62 ! [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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Suc__eq__plus1__left,axiom,
% 218.31/218.62 ! [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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__eq__self__implies__10,axiom,
% 218.31/218.62 ! [V_n,V_m] :
% 218.31/218.62 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 218.31/218.62 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 218.31/218.62 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Suc__mult__le__cancel1,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.62 ( 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_na_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2] :
% 218.31/218.62 ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zle__int,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( 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_na_2)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 218.31/218.62 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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_int__1,axiom,
% 218.31/218.62 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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 218.31/218.62 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_one__le__mult__iff,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2] :
% 218.31/218.62 ( 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_na_2)))
% 218.31/218.62 <=> ( 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))
% 218.31/218.62 & 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_na_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__le__cancel2,axiom,
% 218.31/218.62 ! [V_na_2,V_k_2,V_m_2] :
% 218.31/218.62 ( 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_na_2),V_k_2)))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__le__cancel1,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.62 ( 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_na_2)))
% 218.31/218.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 218.31/218.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__le__eq__zle,axiom,
% 218.31/218.62 ! [V_z_2,V_w_2] :
% 218.31/218.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 218.31/218.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 218.31/218.62 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.62 ( 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_na_2)
% 218.31/218.62 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.62 | V_m_2 = V_na_2 ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_left__add__mult__distrib,axiom,
% 218.31/218.62 ! [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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_transfer__morphism__nat__int,axiom,
% 218.31/218.62 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))) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_compl__mono,axiom,
% 218.31/218.62 ! [V_y,V_x,T_a] :
% 218.31/218.62 ( class_Lattices_Oboolean__algebra(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_compl__le__compl__iff,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.62 ( class_Lattices_Oboolean__algebra(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_ex__least__nat__less,axiom,
% 218.31/218.62 ! [V_na_2,V_P_2] :
% 218.31/218.62 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 218.31/218.62 => ( hBOOL(hAPP(V_P_2,V_na_2))
% 218.31/218.62 => ? [B_k] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_na_2))
% 218.31/218.62 & ! [B_i] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 218.31/218.62 => ~ hBOOL(hAPP(V_P_2,B_i)) )
% 218.31/218.62 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sgn__if,axiom,
% 218.31/218.62 ! [V_x,T_a] :
% 218.31/218.62 ( class_Groups_Osgn__if(T_a)
% 218.31/218.62 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.62 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 218.31/218.62 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 218.31/218.62 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 218.31/218.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 218.31/218.62 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sgn__1__neg,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.62 => ( 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))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sgn__neg,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.62 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zsgn__def,axiom,
% 218.31/218.62 ! [V_i] :
% 218.31/218.62 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.62 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 218.31/218.62 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 218.31/218.62 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 218.31/218.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 218.31/218.62 => 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)) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_divmod__int__rel__mod__eq,axiom,
% 218.31/218.62 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 218.31/218.62 ( 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)
% 218.31/218.62 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 218.31/218.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 218.31/218.62 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.62 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__mod__trivial,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sgn__sgn,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__0,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__by__0,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__self,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__add__self2,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__add__self1,axiom,
% 218.31/218.62 ! [V_a,V_b,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__add__right__eq,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__add__left__eq,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__add__eq,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmod__simps_I2_J,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmod__simps_I1_J,axiom,
% 218.31/218.62 ! [V_b,V_c,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__add__cong,axiom,
% 218.31/218.62 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 218.31/218.62 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 218.31/218.62 => 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) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__mult__right__eq,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__mult__left__eq,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__mult__eq,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__mult__mult1,axiom,
% 218.31/218.62 ! [V_b,V_a,V_c,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__mult__mult2,axiom,
% 218.31/218.62 ! [V_b,V_c,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmod__simps_I4_J,axiom,
% 218.31/218.62 ! [V_b,V_c,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__mult__cong,axiom,
% 218.31/218.62 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 218.31/218.62 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 218.31/218.62 => 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) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__minus__eq,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Oring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__minus__cong,axiom,
% 218.31/218.62 ! [V_a_H,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Oring__div(T_a)
% 218.31/218.62 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 218.31/218.62 => 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) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmod__zero,axiom,
% 218.31/218.62 ! [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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmod__self,axiom,
% 218.31/218.62 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmod__zmult1__eq,axiom,
% 218.31/218.62 ! [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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmod__simps_I3_J,axiom,
% 218.31/218.62 ! [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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmod__zminus2,axiom,
% 218.31/218.62 ! [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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmod__zminus__zminus,axiom,
% 218.31/218.62 ! [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)) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zminus__zmod,axiom,
% 218.31/218.62 ! [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) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sgn__0__0,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.62 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.62 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sgn0,axiom,
% 218.31/218.62 ! [T_a] :
% 218.31/218.62 ( class_Groups_Osgn__if(T_a)
% 218.31/218.62 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sgn__times,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__mult__self1__is__0,axiom,
% 218.31/218.62 ! [V_a,V_b,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__mult__self2__is__0,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__mult__self2,axiom,
% 218.31/218.62 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__mult__self1,axiom,
% 218.31/218.62 ! [V_b,V_c,V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__by__1,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.62 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 218.31/218.62 ! [V_y,V_x] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmod__le__nonneg__dividend,axiom,
% 218.31/218.62 ! [V_k,V_m] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_neg__mod__bound,axiom,
% 218.31/218.62 ! [V_a,V_b] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_pos__mod__bound,axiom,
% 218.31/218.62 ! [V_a,V_b] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmod__eq__0__iff,axiom,
% 218.31/218.62 ! [V_d_2,V_m_2] :
% 218.31/218.62 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.62 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmod__zminus1__not__zero,axiom,
% 218.31/218.62 ! [V_l,V_k] :
% 218.31/218.62 ( 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)
% 218.31/218.62 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmod__zminus2__not__zero,axiom,
% 218.31/218.62 ! [V_l,V_k] :
% 218.31/218.62 ( 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)
% 218.31/218.62 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__neg__neg__trivial,axiom,
% 218.31/218.62 ! [V_b,V_a] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 218.31/218.62 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_neg__mod__conj,axiom,
% 218.31/218.62 ! [V_a,V_b] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 => ( 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)))
% 218.31/218.62 & 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_neg__mod__sign,axiom,
% 218.31/218.62 ! [V_a,V_b] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__pos__pos__trivial,axiom,
% 218.31/218.62 ! [V_b,V_a] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 218.31/218.62 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_pos__mod__conj,axiom,
% 218.31/218.62 ! [V_a,V_b] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.62 => ( 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)))
% 218.31/218.62 & 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)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_pos__mod__sign,axiom,
% 218.31/218.62 ! [V_a,V_b] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.62 => 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))) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sgn__less,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sgn__greater,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.62 => ( 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)))
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_times_Oidem,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 218.31/218.62 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__idem,axiom,
% 218.31/218.62 ! [V_x,T_a] :
% 218.31/218.62 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 218.31/218.62 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mult__left__idem,axiom,
% 218.31/218.62 ! [V_b,V_a,T_a] :
% 218.31/218.62 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 218.31/218.62 => 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) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_double__compl,axiom,
% 218.31/218.62 ! [V_x,T_a] :
% 218.31/218.62 ( class_Lattices_Oboolean__algebra(T_a)
% 218.31/218.62 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_uminus__apply,axiom,
% 218.31/218.62 ! [V_x_2,V_A_2,T_c,T_b] :
% 218.31/218.62 ( class_Groups_Ouminus(T_b)
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_compl__eq__compl__iff,axiom,
% 218.31/218.62 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.62 ( class_Lattices_Oboolean__algebra(T_b)
% 218.31/218.62 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 218.31/218.62 <=> V_x_2 = V_y_2 ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_mod__pos__neg__trivial,axiom,
% 218.31/218.62 ! [V_b,V_a] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.62 => ( 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)))
% 218.31/218.62 => 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) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sgn__pos,axiom,
% 218.31/218.62 ! [V_a,T_a] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.62 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_sgn__1__pos,axiom,
% 218.31/218.62 ! [V_a_2,T_b] :
% 218.31/218.62 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.62 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 218.31/218.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_split__zmod,axiom,
% 218.31/218.62 ! [V_k_2,V_na_2,V_P_2] :
% 218.31/218.62 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2)))
% 218.31/218.62 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.62 => hBOOL(hAPP(V_P_2,V_na_2)) )
% 218.31/218.62 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 218.31/218.62 => ! [B_i,B_j] :
% 218.31/218.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 218.31/218.62 & V_na_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) )
% 218.31/218.62 => hBOOL(hAPP(V_P_2,B_j)) ) )
% 218.31/218.62 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 => ! [B_i,B_j] :
% 218.31/218.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 & V_na_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) )
% 218.31/218.62 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmult2__lemma__aux3,axiom,
% 218.31/218.62 ! [V_q,V_b,V_r,V_c] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmult2__lemma__aux4,axiom,
% 218.31/218.62 ! [V_q,V_b,V_r,V_c] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmult2__lemma__aux1,axiom,
% 218.31/218.62 ! [V_q,V_r,V_b,V_c] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmult2__lemma__aux2,axiom,
% 218.31/218.62 ! [V_q,V_r,V_b,V_c] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 => 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))) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_z3mod__def,axiom,
% 218.31/218.62 ! [V_k,V_l] :
% 218.31/218.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 218.31/218.62 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 218.31/218.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 218.31/218.62 => 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)) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_split__pos__lemma,axiom,
% 218.31/218.62 ! [V_na_2,V_P_2,V_k_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2)))
% 218.31/218.62 <=> ! [B_i,B_j] :
% 218.31/218.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 218.31/218.62 & V_na_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) )
% 218.31/218.62 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_split__neg__lemma,axiom,
% 218.31/218.62 ! [V_na_2,V_P_2,V_k_2] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2)))
% 218.31/218.62 <=> ! [B_i,B_j] :
% 218.31/218.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.62 & V_na_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) )
% 218.31/218.62 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_zmod__zmult2__eq,axiom,
% 218.31/218.62 ! [V_b,V_a,V_c] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 218.31/218.62 => 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)) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 218.31/218.62 ! [V_y,V_x] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 218.31/218.62 => 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))) ) ) ).
% 218.31/218.62
% 218.31/218.62 fof(fact_split__zdiv,axiom,
% 218.31/218.62 ! [V_k_2,V_na_2,V_P_2] :
% 218.31/218.62 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)))
% 218.31/218.62 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.62 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 218.31/218.62 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 218.31/218.62 => ! [B_i] :
% 218.31/218.62 ( ? [B_j] :
% 218.31/218.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 218.31/218.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 218.31/218.62 & V_na_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) )
% 218.31/218.62 => hBOOL(hAPP(V_P_2,B_i)) ) )
% 218.31/218.62 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 => ! [B_i] :
% 218.31/218.63 ( ? [B_j] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 218.31/218.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 & V_na_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) )
% 218.31/218.63 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_divmod__int__rel__div__eq,axiom,
% 218.31/218.63 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 218.31/218.63 ( 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)
% 218.31/218.63 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 218.31/218.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 218.31/218.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 218.31/218.63 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_split__div__lemma,axiom,
% 218.31/218.63 ! [V_m_2,V_q_2,V_na_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 218.31/218.63 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_q_2)),V_m_2))
% 218.31/218.63 & 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_na_2),hAPP(c_Nat_OSuc,V_q_2)))) )
% 218.31/218.63 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_split__div_H,axiom,
% 218.31/218.63 ! [V_na_2,V_m_2,V_P_2] :
% 218.31/218.63 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2)))
% 218.31/218.63 <=> ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 218.31/218.63 | ? [B_q] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),B_q)),V_m_2))
% 218.31/218.63 & 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_na_2),hAPP(c_Nat_OSuc,B_q))))
% 218.31/218.63 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__add1__eq,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__int,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__mult2__eq,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__mult1__eq,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__le__dividend,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__le__mono,axiom,
% 218.31/218.63 ! [V_k,V_n,V_m] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__zero,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__mult2__eq,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__less,axiom,
% 218.31/218.63 ! [V_n,V_m] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__less__eq__dividend,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__mult__distrib2,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__mult__distrib,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__zminus__zminus,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__zminus2,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__by__0,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__0,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__by__1,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 218.31/218.63 ! [V_y,V_x] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__div__distrib,axiom,
% 218.31/218.63 ! [V_y,V_x] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__1,axiom,
% 218.31/218.63 ! [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 ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__less,axiom,
% 218.31/218.63 ! [V_n,V_m] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__mult__div__cancel__disj,axiom,
% 218.31/218.63 ! [V_n,V_m,V_k] :
% 218.31/218.63 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => 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) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__Suc,axiom,
% 218.31/218.63 ! [V_n,V_m] :
% 218.31/218.63 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 218.31/218.63 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 218.31/218.63 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__1,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 218.31/218.63 ! [V_y,V_x] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__less__divisor,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 218.31/218.63 ! [V_a_2,V_b_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 218.31/218.63 ! [V_a_2,V_b_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__neg__pos__less0,axiom,
% 218.31/218.63 ! [V_b,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__self,axiom,
% 218.31/218.63 ! [V_a] :
% 218.31/218.63 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__eq__0__iff,axiom,
% 218.31/218.63 ! [V_d_2,V_m_2] :
% 218.31/218.63 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zmod__zdiv__trivial,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_DIVISION__BY__ZERO,axiom,
% 218.31/218.63 ! [V_a] :
% 218.31/218.63 ( 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)
% 218.31/218.63 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__mult__self3,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__zadd1__eq,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zmod__int,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__mult__mult1__if,axiom,
% 218.31/218.63 ! [V_b,V_a,V_c,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.63 => 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) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__mult__self2__is__id,axiom,
% 218.31/218.63 ! [V_a,V_b,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.63 => 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 ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__mult__self1__is__id,axiom,
% 218.31/218.63 ! [V_a,V_b,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.63 => 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 ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__mult__mult2,axiom,
% 218.31/218.63 ! [V_b,V_a,V_c,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.63 => 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) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__mult__mult1,axiom,
% 218.31/218.63 ! [V_b,V_a,V_c,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.63 => 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) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__self,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.63 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__div__trivial,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__le__mono2,axiom,
% 218.31/218.63 ! [V_k,V_n,V_m] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__mult__self__is__m,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__mult__self1__is__m,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__mult__div__cancel1,axiom,
% 218.31/218.63 ! [V_n,V_m,V_k] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__less__dividend,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__eq__0__iff,axiom,
% 218.31/218.63 ! [V_k_2,V_i_2] :
% 218.31/218.63 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 218.31/218.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 218.31/218.63 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 218.31/218.63 ! [V_a_2,V_b_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 218.31/218.63 ! [V_i_2,V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 218.31/218.63 ! [V_b_2,V_a_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 218.31/218.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__mono2,axiom,
% 218.31/218.63 ! [V_b,V_b_H,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 218.31/218.63 => 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))) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__nonneg__neg__le0,axiom,
% 218.31/218.63 ! [V_b,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__pos__pos__trivial,axiom,
% 218.31/218.63 ! [V_b,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 218.31/218.63 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 218.31/218.63 ! [V_a_2,V_b_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__nonpos__pos__le0,axiom,
% 218.31/218.63 ! [V_b,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__mono2__neg,axiom,
% 218.31/218.63 ! [V_b,V_b_H,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 218.31/218.63 => 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))) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__neg__neg__trivial,axiom,
% 218.31/218.63 ! [V_b,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 218.31/218.63 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__mono1,axiom,
% 218.31/218.63 ! [V_b,V_a_H,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__mono1__neg,axiom,
% 218.31/218.63 ! [V_b,V_a_H,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__le__divisor,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_int__div__less__self,axiom,
% 218.31/218.63 ! [V_k,V_x] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__zmult2__eq,axiom,
% 218.31/218.63 ! [V_b,V_a,V_c] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__mult__self4,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__zmod__equality2,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__zmod__equality,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__zmult1__eq,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zmod__zdiv__equality,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__mult__self1,axiom,
% 218.31/218.63 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__mult__self2,axiom,
% 218.31/218.63 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__add__self1,axiom,
% 218.31/218.63 ! [V_a,V_b,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__add__self2,axiom,
% 218.31/218.63 ! [V_a,V_b,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__mod__equality,axiom,
% 218.31/218.63 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__mod__equality2,axiom,
% 218.31/218.63 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__div__equality,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__div__equality2,axiom,
% 218.31/218.63 ! [V_a,V_b,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_split__div,axiom,
% 218.31/218.63 ! [V_k_2,V_na_2,V_P_2] :
% 218.31/218.63 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_na_2),V_k_2)))
% 218.31/218.63 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 218.31/218.63 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => ! [B_i,B_j] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 218.31/218.63 => ( V_na_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)
% 218.31/218.63 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_split__mod,axiom,
% 218.31/218.63 ! [V_k_2,V_na_2,V_P_2] :
% 218.31/218.63 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_na_2,V_k_2)))
% 218.31/218.63 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => hBOOL(hAPP(V_P_2,V_na_2)) )
% 218.31/218.63 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => ! [B_i,B_j] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 218.31/218.63 => ( V_na_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)
% 218.31/218.63 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__lemma,axiom,
% 218.31/218.63 ! [V_q,V_b,V_r,V_c] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__times__mod__eq,axiom,
% 218.31/218.63 ! [V_m,V_k] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 218.31/218.63 ! [V_y,V_x] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__mod__distrib,axiom,
% 218.31/218.63 ! [V_y,V_x] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_z3div__def,axiom,
% 218.31/218.63 ! [V_k,V_l] :
% 218.31/218.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 218.31/218.63 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__zminus1__eq__if,axiom,
% 218.31/218.63 ! [V_a,V_b] :
% 218.31/218.63 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 => 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)) )
% 218.31/218.63 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 => 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)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__zminus2__eq__if,axiom,
% 218.31/218.63 ! [V_a,V_b] :
% 218.31/218.63 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 => 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)) )
% 218.31/218.63 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 => 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)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__div__geq,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__div__decomp,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__strict__mono,axiom,
% 218.31/218.63 ! [V_n,V_b,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => 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))) ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 218.31/218.63 ! [V_y,V_x] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_incr__mult__lemma,axiom,
% 218.31/218.63 ! [V_k_2,V_P_2,V_d_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 218.31/218.63 => ( ! [B_x] :
% 218.31/218.63 ( hBOOL(hAPP(V_P_2,B_x))
% 218.31/218.63 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 218.31/218.63 => ! [B_x] :
% 218.31/218.63 ( hBOOL(hAPP(V_P_2,B_x))
% 218.31/218.63 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_field__le__mult__one__interval,axiom,
% 218.31/218.63 ! [V_y,V_x,T_a] :
% 218.31/218.63 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 218.31/218.63 => ( ! [B_z] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 218.31/218.63 => 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)) ) )
% 218.31/218.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_of__int__diff,axiom,
% 218.31/218.63 ! [V_z,V_w,T_a] :
% 218.31/218.63 ( class_Rings_Oring__1(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_of__int__power,axiom,
% 218.31/218.63 ! [V_n,V_z,T_a] :
% 218.31/218.63 ( class_Rings_Oring__1(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__commute,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__eq__diff__eq,axiom,
% 218.31/218.63 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Groups_Oab__group__add(T_b)
% 218.31/218.63 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 218.31/218.63 => ( V_a_2 = V_b_2
% 218.31/218.63 <=> V_c_2 = V_d_2 ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_int__power,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zpower__int,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_of__nat__power,axiom,
% 218.31/218.63 ! [V_n,V_m,T_a] :
% 218.31/218.63 ( class_Rings_Osemiring__1(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_minus__apply,axiom,
% 218.31/218.63 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.63 ( class_Groups_Ominus(T_b)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_of__nat__diff,axiom,
% 218.31/218.63 ! [V_m,V_n,T_a] :
% 218.31/218.63 ( class_Rings_Oring__1(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiff__int,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__eq__diff__less__eq,axiom,
% 218.31/218.63 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.63 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__0__right,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.63 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__self,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.63 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_eq__iff__diff__eq__0,axiom,
% 218.31/218.63 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Groups_Oab__group__add(T_b)
% 218.31/218.63 => ( V_a_2 = V_b_2
% 218.31/218.63 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_right__minus__eq,axiom,
% 218.31/218.63 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Groups_Ogroup__add(T_b)
% 218.31/218.63 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.63 <=> V_a_2 = V_b_2 ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__eq__diff__less,axiom,
% 218.31/218.63 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.63 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__diff__cancel,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__add__cancel,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_field__power__not__zero,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 218.31/218.63 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.63 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_minus__diff__eq,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oab__group__add(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__diff__cong,axiom,
% 218.31/218.63 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 218.31/218.63 ( class_Divides_Oring__div(T_a)
% 218.31/218.63 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 218.31/218.63 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 218.31/218.63 => 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) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__diff__eq,axiom,
% 218.31/218.63 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.63 ( class_Divides_Oring__div(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__diff__left__eq,axiom,
% 218.31/218.63 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.63 ( class_Divides_Oring__div(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__diff__right__eq,axiom,
% 218.31/218.63 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.63 ( class_Divides_Oring__div(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__mult__distrib,axiom,
% 218.31/218.63 ! [V_n,V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Ocomm__monoid__mult(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__commutes,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Omonoid__mult(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 218.31/218.63 ! [V_q,V_y,V_x,T_a] :
% 218.31/218.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__one,axiom,
% 218.31/218.63 ! [V_n,T_a] :
% 218.31/218.63 ( class_Groups_Omonoid__mult(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diffs0__imp__equal,axiom,
% 218.31/218.63 ! [V_n,V_m] :
% 218.31/218.63 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => V_m = V_n ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__self__eq__0,axiom,
% 218.31/218.63 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_minus__nat_Odiff__0,axiom,
% 218.31/218.63 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__0__eq__0,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__diff__diff,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__Suc__Suc,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__less__mono2,axiom,
% 218.31/218.63 ! [V_l,V_n,V_m] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__imp__diff__less,axiom,
% 218.31/218.63 ! [V_n,V_k,V_j] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__geq,axiom,
% 218.31/218.63 ! [V_n,V_m] :
% 218.31/218.63 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__if,axiom,
% 218.31/218.63 ! [V_n,V_m] :
% 218.31/218.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 218.31/218.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => 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) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 218.31/218.63 ! [V_q,V_p,V_x,T_a] :
% 218.31/218.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__mult,axiom,
% 218.31/218.63 ! [V_n,V_m,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Omonoid__mult(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__cancel2,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__cancel,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__diff__left,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__add__inverse,axiom,
% 218.31/218.63 ! [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 ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__add__inverse2,axiom,
% 218.31/218.63 ! [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 ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zpower__zpower,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__le__self,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__le__mono2,axiom,
% 218.31/218.63 ! [V_l,V_n,V_m] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__le__mono,axiom,
% 218.31/218.63 ! [V_l,V_n,V_m] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__diff__cancel,axiom,
% 218.31/218.63 ! [V_n,V_i] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_eq__diff__iff,axiom,
% 218.31/218.63 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 218.31/218.63 => ( 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_na_2),V_k_2)
% 218.31/218.63 <=> V_m_2 = V_na_2 ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Nat_Odiff__diff__eq,axiom,
% 218.31/218.63 ! [V_n,V_m,V_k] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 218.31/218.63 => 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) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__diff__iff,axiom,
% 218.31/218.63 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 218.31/218.63 => ( 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_na_2),V_k_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__mod__geq,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiff__zmult__distrib,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiff__zmult__distrib2,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__mult__distrib2,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__mult__distrib,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 218.31/218.63 ! [V_x,T_a] :
% 218.31/218.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.63 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__one__right,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Omonoid__mult(T_a)
% 218.31/218.63 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zpower__zmod,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiff__zmod__left,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiff__zmod__right,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 218.31/218.63 ! [V_n,V_x] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__power__eq,axiom,
% 218.31/218.63 ! [V_n,V_z] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__diff__distrib,axiom,
% 218.31/218.63 ! [V_z,V_z_H] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__eq__if,axiom,
% 218.31/218.63 ! [V_p,V_m] :
% 218.31/218.63 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 218.31/218.63 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => 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)))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiff__int__split,axiom,
% 218.31/218.63 ! [V_y_2,V_x_2,V_P_2] :
% 218.31/218.63 ( hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2))))
% 218.31/218.63 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 218.31/218.63 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) )
% 218.31/218.63 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 218.31/218.63 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__iff__diff__le__0,axiom,
% 218.31/218.63 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 218.31/218.63 <=> 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__iff__diff__less__0,axiom,
% 218.31/218.63 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 218.31/218.63 <=> 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_eq__add__iff1,axiom,
% 218.31/218.63 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Rings_Oring(T_b)
% 218.31/218.63 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 218.31/218.63 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2) = V_d_2 ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_eq__add__iff2,axiom,
% 218.31/218.63 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Rings_Oring(T_b)
% 218.31/218.63 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 218.31/218.63 <=> V_c_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__0,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 218.31/218.63 ! [V_y,V_x,T_a] :
% 218.31/218.63 ( class_Rings_Ocomm__ring__1(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__minus__eq__add,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_ab__diff__minus,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oab__group__add(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__def,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Ogroup__add(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__mono,axiom,
% 218.31/218.63 ! [V_n,V_b,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.63 => 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))) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zero__le__power,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zero__less__power,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__eq__0__iff,axiom,
% 218.31/218.63 ! [V_na_2,V_a_2,T_b] :
% 218.31/218.63 ( ( class_Power_Opower(T_b)
% 218.31/218.63 & class_Rings_Omult__zero(T_b)
% 218.31/218.63 & class_Rings_Ono__zero__divisors(T_b)
% 218.31/218.63 & class_Rings_Ozero__neq__one(T_b) )
% 218.31/218.63 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.63 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.63 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_one__le__power,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__0__Suc,axiom,
% 218.31/218.63 ! [V_n,T_a] :
% 218.31/218.63 ( ( class_Power_Opower(T_a)
% 218.31/218.63 & class_Rings_Osemiring__0(T_a) )
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__inject__exp,axiom,
% 218.31/218.63 ! [V_na_2,V_m_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_b)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 218.31/218.63 => ( 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_na_2)
% 218.31/218.63 <=> V_m_2 = V_na_2 ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 218.31/218.63 ! [V_q,V_x,T_a] :
% 218.31/218.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 218.31/218.63 ! [V_q,V_x,T_a] :
% 218.31/218.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 218.31/218.63 ! [V_q,V_x,T_a] :
% 218.31/218.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__Suc,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Power_Opower(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__Suc2,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Omonoid__mult(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 218.31/218.63 ! [V_x,T_a] :
% 218.31/218.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__0,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Power_Opower(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 218.31/218.63 ! [V_q,V_p,V_x,T_a] :
% 218.31/218.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__add,axiom,
% 218.31/218.63 ! [V_n,V_m,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Omonoid__mult(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__Suc__0,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 218.31/218.63 ! [V_m_2,V_x_2] :
% 218.31/218.63 ( 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))
% 218.31/218.63 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__power__less__imp__less,axiom,
% 218.31/218.63 ! [V_n,V_m,V_i] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 218.31/218.63 => ( 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)))
% 218.31/218.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__zero__less__power__iff,axiom,
% 218.31/218.63 ! [V_na_2,V_x_2] :
% 218.31/218.63 ( 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_na_2)))
% 218.31/218.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 218.31/218.63 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 218.31/218.63 ! [V_n,V_x] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__bin__lemma,axiom,
% 218.31/218.63 ! [V_l_2,V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 218.31/218.63 <=> 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__less,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zero__less__diff,axiom,
% 218.31/218.63 ! [V_m_2,V_na_2] :
% 218.31/218.63 ( 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_na_2),V_m_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__less__Suc,axiom,
% 218.31/218.63 ! [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))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__add__0,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__is__0__eq,axiom,
% 218.31/218.63 ! [V_na_2,V_m_2] :
% 218.31/218.63 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__is__0__eq_H,axiom,
% 218.31/218.63 ! [V_n,V_m] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__diff__inverse,axiom,
% 218.31/218.63 ! [V_n,V_m] :
% 218.31/218.63 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__diff__conv,axiom,
% 218.31/218.63 ! [V_k_2,V_j_2,V_i_2] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 <=> 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zpower__zadd__distrib,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__diff__le,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__diff__iff,axiom,
% 218.31/218.63 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 218.31/218.63 => ( 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_na_2),V_k_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__less__mono,axiom,
% 218.31/218.63 ! [V_c,V_b,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__add__assoc2,axiom,
% 218.31/218.63 ! [V_i,V_j,V_k] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__diff__assoc2,axiom,
% 218.31/218.63 ! [V_i,V_j,V_k] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__add__assoc,axiom,
% 218.31/218.63 ! [V_i,V_j,V_k] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__imp__diff__is__add,axiom,
% 218.31/218.63 ! [V_k_2,V_j_2,V_i_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 218.31/218.63 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 218.31/218.63 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__add__diff__inverse2,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__diff__conv2,axiom,
% 218.31/218.63 ! [V_i_2,V_j_2,V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__diff__assoc,axiom,
% 218.31/218.63 ! [V_i,V_j,V_k] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__add__diff__inverse,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__add__diff,axiom,
% 218.31/218.63 ! [V_m,V_n,V_k] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__diff__conv,axiom,
% 218.31/218.63 ! [V_i_2,V_k_2,V_j_2] :
% 218.31/218.63 ( 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))
% 218.31/218.63 <=> 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__diff__right,axiom,
% 218.31/218.63 ! [V_i,V_j,V_k] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__int__def,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__int__def__symmetric,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__Suc__1,axiom,
% 218.31/218.63 ! [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 ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Divides_Omod__div__equality_H,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mult__div__cancel,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__mod__equality_H,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_tsub__eq,axiom,
% 218.31/218.63 ! [V_x,V_y] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 218.31/218.63 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__add__iff2,axiom,
% 218.31/218.63 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Rings_Oordered__ring(T_b)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__add__iff1,axiom,
% 218.31/218.63 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Rings_Oordered__ring(T_b)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__add__iff1,axiom,
% 218.31/218.63 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Rings_Oordered__ring(T_b)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__add__iff2,axiom,
% 218.31/218.63 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Rings_Oordered__ring(T_b)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__less__imp__less__base,axiom,
% 218.31/218.63 ! [V_b,V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( 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)))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.31/218.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_int__power__div__base,axiom,
% 218.31/218.63 ! [V_k,V_m] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 218.31/218.63 => 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)))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__inject__base,axiom,
% 218.31/218.63 ! [V_b,V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( 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))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.31/218.63 => V_a = V_b ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__le__imp__le__base,axiom,
% 218.31/218.63 ! [V_b,V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( 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))))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.31/218.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__gt1__lemma,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 218.31/218.63 => 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)))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__less__power__Suc,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 218.31/218.63 => 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)))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__0__left,axiom,
% 218.31/218.63 ! [V_n,T_a] :
% 218.31/218.63 ( ( class_Power_Opower(T_a)
% 218.31/218.63 & class_Rings_Osemiring__0(T_a) )
% 218.31/218.63 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => 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) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__gt1,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 218.31/218.63 => 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)))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__strict__increasing,axiom,
% 218.31/218.63 ! [V_a,V_N,V_n,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 218.31/218.63 => 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))) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__less__imp__less__exp,axiom,
% 218.31/218.63 ! [V_n,V_m,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 218.31/218.63 => ( 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)))
% 218.31/218.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__strict__increasing__iff,axiom,
% 218.31/218.63 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_b)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__increasing,axiom,
% 218.31/218.63 ! [V_a,V_N,V_n,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 218.31/218.63 => 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))) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__minus,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Oring__1(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__one__le__power,axiom,
% 218.31/218.63 ! [V_n,V_i] :
% 218.31/218.63 ( 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))
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__Suc__less,axiom,
% 218.31/218.63 ! [V_i,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__pred,axiom,
% 218.31/218.63 ! [V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__diff__split__asm,axiom,
% 218.31/218.63 ! [V_b_2,V_a_2,V_P_2] :
% 218.31/218.63 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 218.31/218.63 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 218.31/218.63 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 218.31/218.63 | ? [B_d] :
% 218.31/218.63 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 218.31/218.63 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__diff__split,axiom,
% 218.31/218.63 ! [V_b_2,V_a_2,V_P_2] :
% 218.31/218.63 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 218.31/218.63 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 218.31/218.63 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 218.31/218.63 & ! [B_d] :
% 218.31/218.63 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 218.31/218.63 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zle__diff1__eq,axiom,
% 218.31/218.63 ! [V_z_2,V_w_2] :
% 218.31/218.63 ( 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))))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__Suc__diff__eq2,axiom,
% 218.31/218.63 ! [V_m,V_j,V_k] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__Suc__diff__eq1,axiom,
% 218.31/218.63 ! [V_m,V_j,V_k] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__le__add__iff1,axiom,
% 218.31/218.63 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 218.31/218.63 => ( 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_na_2)))
% 218.31/218.63 <=> 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_na_2)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__diff__add__eq1,axiom,
% 218.31/218.63 ! [V_n,V_m,V_u,V_i,V_j] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__eq__add__iff1,axiom,
% 218.31/218.63 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 218.31/218.63 => ( 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_na_2)
% 218.31/218.63 <=> 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_na_2 ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__le__add__iff2,axiom,
% 218.31/218.63 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 218.31/218.63 => ( 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_na_2)))
% 218.31/218.63 <=> 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_na_2))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__diff__add__eq2,axiom,
% 218.31/218.63 ! [V_n,V_m,V_u,V_j,V_i] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__eq__add__iff2,axiom,
% 218.31/218.63 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 218.31/218.63 => ( 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_na_2)
% 218.31/218.63 <=> 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_na_2) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zmod__zminus1__eq__if,axiom,
% 218.31/218.63 ! [V_b,V_a] :
% 218.31/218.63 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zmod__zminus2__eq__if,axiom,
% 218.31/218.63 ! [V_b,V_a] :
% 218.31/218.63 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 => 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) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zmult__div__cancel,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zmod__zdiv__equality_H,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_tsub__def,axiom,
% 218.31/218.63 ! [V_x,V_y] :
% 218.31/218.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 218.31/218.63 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 218.31/218.63 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__power__power,axiom,
% 218.31/218.63 ! [T_b] :
% 218.31/218.63 ( class_Power_Opower(T_b)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__Suc__less,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 218.31/218.63 => 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))) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__eq__imp__eq__base,axiom,
% 218.31/218.63 ! [V_b,V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( 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)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => V_a = V_b ) ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__Suc__less__one,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 218.31/218.63 => 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))) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__strict__decreasing,axiom,
% 218.31/218.63 ! [V_a,V_N,V_n,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 218.31/218.63 => 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))) ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__decreasing,axiom,
% 218.31/218.63 ! [V_a,V_N,V_n,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 218.31/218.63 => 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))) ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__increasing__iff,axiom,
% 218.31/218.63 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_b)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__le__imp__le__exp,axiom,
% 218.31/218.63 ! [V_n,V_m,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 218.31/218.63 => ( 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)))
% 218.31/218.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_one__less__power,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => 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))) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__diff__1,axiom,
% 218.31/218.63 ! [V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__pred_H,axiom,
% 218.31/218.63 ! [V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__less__add__iff1,axiom,
% 218.31/218.63 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 218.31/218.63 => ( 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_na_2)))
% 218.31/218.63 <=> 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_na_2)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__less__add__iff2,axiom,
% 218.31/218.63 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 218.31/218.63 => ( 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_na_2)))
% 218.31/218.63 <=> 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_na_2))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__eq__if,axiom,
% 218.31/218.63 ! [V_n,V_m] :
% 218.31/218.63 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 218.31/218.63 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__if,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => 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)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__geq,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mult__eq__if,axiom,
% 218.31/218.63 ! [V_n,V_m] :
% 218.31/218.63 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 218.31/218.63 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_decr__mult__lemma,axiom,
% 218.31/218.63 ! [V_k_2,V_P_2,V_d_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 218.31/218.63 => ( ! [B_x] :
% 218.31/218.63 ( hBOOL(hAPP(V_P_2,B_x))
% 218.31/218.63 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 218.31/218.63 => ! [B_x] :
% 218.31/218.63 ( hBOOL(hAPP(V_P_2,B_x))
% 218.31/218.63 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_incr__lemma,axiom,
% 218.31/218.63 ! [V_x,V_z,V_d] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 218.31/218.63 => 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)))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_decr__lemma,axiom,
% 218.31/218.63 ! [V_z,V_x,V_d] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__mod__eq__lemma,axiom,
% 218.31/218.63 ! [V_y,V_n,V_x] :
% 218.31/218.63 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 218.31/218.63 => ? [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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__induct__0,axiom,
% 218.31/218.63 ! [V_i_2,V_P_2,V_p_2] :
% 218.31/218.63 ( ! [B_i] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 218.31/218.63 => ( hBOOL(hAPP(V_P_2,B_i))
% 218.31/218.63 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 218.31/218.63 => ( hBOOL(hAPP(V_P_2,V_i_2))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 218.31/218.63 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_expand__Suc,axiom,
% 218.31/218.63 ! [V_v] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_field__le__epsilon,axiom,
% 218.31/218.63 ! [V_y,V_x,T_a] :
% 218.31/218.63 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.63 => ( ! [B_e] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 218.31/218.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),B_e))) )
% 218.31/218.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_divmod__nat__step,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_divmod__nat__zero,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_number__of__reorient,axiom,
% 218.31/218.63 ! [V_x_2,V_w_2,T_b] :
% 218.31/218.63 ( class_Int_Onumber(T_b)
% 218.31/218.63 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 218.31/218.63 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_eq__number__of,axiom,
% 218.31/218.63 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 & class_Int_Oring__char__0(T_b) )
% 218.31/218.63 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 218.31/218.63 <=> V_x_2 = V_y_2 ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__idempotent,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_of__int__number__of__eq,axiom,
% 218.31/218.63 ! [V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__ge__self,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__le__D1,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 218.31/218.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__eq__0,axiom,
% 218.31/218.63 ! [V_a_2,T_b] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 218.31/218.63 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.63 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__zero,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__add__abs,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__mult,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__mult__self,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__minus__commute,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__one,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.63 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__minus__cancel,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__of__nat,axiom,
% 218.31/218.63 ! [V_n,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__abs,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__int__eq,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_of__nat__number__of__lemma,axiom,
% 218.31/218.63 ! [V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => ( ( 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)))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ 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)))
% 218.31/218.63 => 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) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_number__of__eq,axiom,
% 218.31/218.63 ! [V_k,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_divmod__nat__base,axiom,
% 218.31/218.63 ! [V_n,V_m] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__number__of,axiom,
% 218.31/218.63 ! [V_x,T_a] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 & class_Rings_Olinordered__idom(T_a) )
% 218.31/218.63 => ( ( 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)))
% 218.31/218.63 => 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)) )
% 218.31/218.63 & ( ~ 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)))
% 218.31/218.63 => 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) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_divmod__nat__div__mod,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__of__nonneg,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.63 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__le__zero__iff,axiom,
% 218.31/218.63 ! [V_a_2,T_b] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__ge__zero,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__not__less__zero,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => ~ 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zero__less__abs__iff,axiom,
% 218.31/218.63 ! [V_a_2,T_b] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__of__pos,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.63 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__triangle__ineq,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => 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)))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__mult__less,axiom,
% 218.31/218.63 ! [V_d,V_b,V_c,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 218.31/218.63 => 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))) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__triangle__ineq3,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => 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)))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__triangle__ineq2,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => 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)))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__triangle__ineq2__sym,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => 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)))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__ge__minus__self,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__le__iff,axiom,
% 218.31/218.63 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 218.31/218.63 => ( 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))
% 218.31/218.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 218.31/218.63 & 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)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__leI,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 218.31/218.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__le__D2,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 218.31/218.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__less__iff,axiom,
% 218.31/218.63 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.63 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 218.31/218.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 218.31/218.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__number__of__eq__not__less,axiom,
% 218.31/218.63 ! [V_w_2,V_v_2,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber(T_b)
% 218.31/218.63 & class_Orderings_Olinorder(T_b) )
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> ~ 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__power__minus,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_right__distrib__number__of,axiom,
% 218.31/218.63 ! [V_c,V_b,V_v,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber(T_b)
% 218.31/218.63 & class_Rings_Osemiring(T_b) )
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_left__distrib__number__of,axiom,
% 218.31/218.63 ! [V_v,V_b,V_a,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber(T_b)
% 218.31/218.63 & class_Rings_Osemiring(T_b) )
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zero__le__zpower__abs,axiom,
% 218.31/218.63 ! [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))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_right__diff__distrib__number__of,axiom,
% 218.31/218.63 ! [V_c,V_b,V_v,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber(T_b)
% 218.31/218.63 & class_Rings_Oring(T_b) )
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_left__diff__distrib__number__of,axiom,
% 218.31/218.63 ! [V_v,V_b,V_a,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber(T_b)
% 218.31/218.63 & class_Rings_Oring(T_b) )
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__number__of,axiom,
% 218.31/218.63 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 & class_Rings_Olinordered__idom(T_b) )
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__number__of,axiom,
% 218.31/218.63 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 & class_Rings_Olinordered__idom(T_b) )
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__number__of__left,axiom,
% 218.31/218.63 ! [V_z,V_w,V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__number__of__eq,axiom,
% 218.31/218.63 ! [V_w,V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_number__of__add,axiom,
% 218.31/218.63 ! [V_w,V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_number__of__mult,axiom,
% 218.31/218.63 ! [V_w,V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_arith__simps_I32_J,axiom,
% 218.31/218.63 ! [V_w,V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mult__number__of__left,axiom,
% 218.31/218.63 ! [V_z,V_w,V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__zmult__eq__1,axiom,
% 218.31/218.63 ! [V_n,V_m] :
% 218.31/218.63 ( 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)
% 218.31/218.63 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_number__of__diff,axiom,
% 218.31/218.63 ! [V_w,V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_arith__simps_I30_J,axiom,
% 218.31/218.63 ! [V_w,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_number__of__minus,axiom,
% 218.31/218.63 ! [V_w,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mult__sgn__abs,axiom,
% 218.31/218.63 ! [V_x,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__sgn,axiom,
% 218.31/218.63 ! [V_k,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__mult__pos,axiom,
% 218.31/218.63 ! [V_y,V_x,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__eq__mult,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Oordered__ring__abs(T_a)
% 218.31/218.63 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.63 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 218.31/218.63 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 218.31/218.63 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__diff__triangle__ineq,axiom,
% 218.31/218.63 ! [V_d,V_c,V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => 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))))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__triangle__ineq4,axiom,
% 218.31/218.63 ! [V_b,V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => 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)))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__minus__le__zero,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__of__nonpos,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.63 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__if,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oabs__if(T_a)
% 218.31/218.63 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.63 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.63 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__of__neg,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.63 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zero__le__power__abs,axiom,
% 218.31/218.63 ! [V_n,V_a,T_a] :
% 218.31/218.63 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zero__less__zpower__abs__iff,axiom,
% 218.31/218.63 ! [V_na_2,V_x_2] :
% 218.31/218.63 ( 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_na_2)))
% 218.31/218.63 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.63 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zabs__less__one__iff,axiom,
% 218.31/218.63 ! [V_z_2] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__number__of__diff1,axiom,
% 218.31/218.63 ! [V_c,V_w,V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zabs__def,axiom,
% 218.31/218.63 ! [V_i] :
% 218.31/218.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_minus__number__of__mult,axiom,
% 218.31/218.63 ! [V_z,V_w,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__abs__mult__distrib,axiom,
% 218.31/218.63 ! [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))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__number__of__eq,axiom,
% 218.31/218.63 ! [V_w,V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__number__of__diff2,axiom,
% 218.31/218.63 ! [V_w,V_c,V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 218.31/218.63 ! [V_a,V_r,V_q,V_c,V_b] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 218.31/218.63 => 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)))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 218.31/218.63 ! [V_c,V_r,V_q,V_b,V_a] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 218.31/218.63 => 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)))) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 218.31/218.63 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 => ( 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)))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 218.31/218.63 => 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)))) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_one__div__nat__number__of,axiom,
% 218.31/218.63 ! [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))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_int__val__lemma,axiom,
% 218.31/218.63 ! [V_k_2,V_f_2,V_na_2] :
% 218.31/218.63 ( ! [B_i] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 218.31/218.63 => 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))) )
% 218.31/218.63 => ( 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))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 218.31/218.63 => ? [B_i] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 218.31/218.63 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat0__intermed__int__val,axiom,
% 218.31/218.63 ! [V_k_2,V_f_2,V_na_2] :
% 218.31/218.63 ( ! [B_i] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 218.31/218.63 => 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))) )
% 218.31/218.63 => ( 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))
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 218.31/218.63 => ? [B_i] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 218.31/218.63 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_eq__number__of__eq,axiom,
% 218.31/218.63 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 218.31/218.63 <=> 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)))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_number__of__is__id,axiom,
% 218.31/218.63 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 218.31/218.63
% 218.31/218.63 fof(fact_divmod__nat__rel__unique,axiom,
% 218.31/218.63 ! [V_qr_H,V_qr,V_n,V_m] :
% 218.31/218.63 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 218.31/218.63 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 218.31/218.63 => V_qr = V_qr_H ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__eq__number__of__int__code,axiom,
% 218.31/218.63 ! [V_l_2,V_k_2] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__number__of__int__code,axiom,
% 218.31/218.63 ! [V_l_2,V_k_2] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_plus__numeral__code_I9_J,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_times__numeral__code_I5_J,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_minus__numeral__code_I5_J,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_iszero__0,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( class_Rings_Osemiring__1(T_a)
% 218.31/218.63 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_iszero__def,axiom,
% 218.31/218.63 ! [V_z_2,T_b] :
% 218.31/218.63 ( class_Rings_Osemiring__1(T_b)
% 218.31/218.63 => ( c_Int_Oiszero(T_b,V_z_2)
% 218.31/218.63 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_int__number__of__def,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_not__iszero__1,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( class_Rings_Osemiring__1(T_a)
% 218.31/218.63 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__number__of__def,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__number__of,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_divmod__nat__eq,axiom,
% 218.31/218.63 ! [V_qr,V_n,V_m] :
% 218.31/218.63 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 218.31/218.63 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 218.31/218.63 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_minus__numeral__code_I6_J,axiom,
% 218.31/218.63 ! [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))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__eq,axiom,
% 218.31/218.63 ! [V_r,V_q,V_n,V_m] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__eq,axiom,
% 218.31/218.63 ! [V_r,V_q,V_n,V_m] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_int__eq__iff__number__of,axiom,
% 218.31/218.63 ! [V_v_2,V_m_2] :
% 218.31/218.63 ( 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)
% 218.31/218.63 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 218.31/218.63 & 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_divmod__nat__rel,axiom,
% 218.31/218.63 ! [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)))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_one__mod__nat__number__of,axiom,
% 218.31/218.63 ! [V_v_H] :
% 218.31/218.63 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 218.31/218.63 => 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)) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__nat__number__of,axiom,
% 218.31/218.63 ! [V_n,V_v] :
% 218.31/218.63 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power__nat__number__of__number__of,axiom,
% 218.31/218.63 ! [V_w,V_v] :
% 218.31/218.63 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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)) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__nat__number__of,axiom,
% 218.31/218.63 ! [V_v_H,V_v] :
% 218.31/218.63 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__nat__number__of,axiom,
% 218.31/218.63 ! [V_v_H,V_v] :
% 218.31/218.63 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 218.31/218.63 => 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))) ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zmod__minus1,axiom,
% 218.31/218.63 ! [V_b] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__pos__neg__trivial,axiom,
% 218.31/218.63 ! [V_b,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.63 => ( 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)))
% 218.31/218.63 => 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) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_neg__number__of__Min,axiom,
% 218.31/218.63 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I24_J,axiom,
% 218.31/218.63 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I7_J,axiom,
% 218.31/218.63 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_not__neg__0,axiom,
% 218.31/218.63 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_not__neg__int,axiom,
% 218.31/218.63 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_not__neg__1,axiom,
% 218.31/218.63 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_bin__less__0__simps_I2_J,axiom,
% 218.31/218.63 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Int_OMin__def,axiom,
% 218.31/218.63 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mult__Min,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nonzero__number__of__Min,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_not__neg__eq__ge__0,axiom,
% 218.31/218.63 ! [V_x_2] :
% 218.31/218.63 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_neg__def,axiom,
% 218.31/218.63 ! [V_Z_2] :
% 218.31/218.63 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_neg__nat,axiom,
% 218.31/218.63 ! [V_z] :
% 218.31/218.63 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 218.31/218.63 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_not__neg__nat,axiom,
% 218.31/218.63 ! [V_z] :
% 218.31/218.63 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 218.31/218.63 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mult__minus1__right,axiom,
% 218.31/218.63 ! [V_z,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mult__minus1,axiom,
% 218.31/218.63 ! [V_z,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_number__of__Min,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_arith__simps_I31_J,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__minus__one,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 & class_Rings_Olinordered__idom(T_a) )
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zmod__minus1__right,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 218.31/218.63 ! [V_n,V_m] :
% 218.31/218.63 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 218.31/218.63 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 218.31/218.63 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zmult__eq__1__iff,axiom,
% 218.31/218.63 ! [V_na_2,V_m_2] :
% 218.31/218.63 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 218.31/218.63 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 218.31/218.63 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 218.31/218.63 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 218.31/218.63 & V_na_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_of__int__m1,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__minus1__right,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_neg__imp__number__of__eq__0,axiom,
% 218.31/218.63 ! [V_v] :
% 218.31/218.63 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_neg__zminus__int,axiom,
% 218.31/218.63 ! [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))))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_abs__power__minus__one,axiom,
% 218.31/218.63 ! [V_n,T_a] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 & class_Rings_Olinordered__idom(T_a) )
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__eq__minus1,axiom,
% 218.31/218.63 ! [V_b] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_eq__nat__number__of,axiom,
% 218.31/218.63 ! [V_v_H_2,V_v_2] :
% 218.31/218.63 ( 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)
% 218.31/218.63 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 218.31/218.63 => 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))) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 218.31/218.63 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 218.31/218.63 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 218.31/218.63 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__number__of__add__left,axiom,
% 218.31/218.63 ! [V_k,V_v_H,V_v] :
% 218.31/218.63 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 218.31/218.63 => 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) ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_int__nat__number__of,axiom,
% 218.31/218.63 ! [V_v] :
% 218.31/218.63 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_of__nat__number__of__eq,axiom,
% 218.31/218.63 ! [V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__nat__number__of__add,axiom,
% 218.31/218.63 ! [V_n,V_v] :
% 218.31/218.63 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__nat__number__of,axiom,
% 218.31/218.63 ! [V_v] :
% 218.31/218.63 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_eq__special_I3_J,axiom,
% 218.31/218.63 ! [V_x_2,T_b] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.63 <=> 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)))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_eq__special_I1_J,axiom,
% 218.31/218.63 ! [V_y_2,T_b] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 218.31/218.63 <=> 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)))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_neg__number__of__pred__iff__0,axiom,
% 218.31/218.63 ! [V_v_2] :
% 218.31/218.63 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 218.31/218.63 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mult__nat__number__of,axiom,
% 218.31/218.63 ! [V_v_H,V_v] :
% 218.31/218.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__number__of__mult__left,axiom,
% 218.31/218.63 ! [V_k,V_v_H,V_v] :
% 218.31/218.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 218.31/218.63 => 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) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_pred__Pls,axiom,
% 218.31/218.63 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 218.31/218.63
% 218.31/218.63 fof(fact_succ__Min,axiom,
% 218.31/218.63 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 218.31/218.63
% 218.31/218.63 fof(fact_succ__pred,axiom,
% 218.31/218.63 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Pls__def,axiom,
% 218.31/218.63 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I19_J,axiom,
% 218.31/218.63 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I2_J,axiom,
% 218.31/218.63 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__Pls,axiom,
% 218.31/218.63 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__Pls__right,axiom,
% 218.31/218.63 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mult__Pls,axiom,
% 218.31/218.63 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__bin__simps_I1_J,axiom,
% 218.31/218.63 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 218.31/218.63
% 218.31/218.63 fof(fact_minus__Pls,axiom,
% 218.31/218.63 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I37_J,axiom,
% 218.31/218.63 c_Int_OPls != c_Int_OMin ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I40_J,axiom,
% 218.31/218.63 c_Int_OMin != c_Int_OPls ).
% 218.31/218.63
% 218.31/218.63 fof(fact_semiring__norm_I112_J,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_number__of__Pls,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__numeral__0__right,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__numeral__0,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_bin__less__0__simps_I1_J,axiom,
% 218.31/218.63 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_semiring__norm_I113_J,axiom,
% 218.31/218.63 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__number__of__Pls,axiom,
% 218.31/218.63 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zero__is__num__zero,axiom,
% 218.31/218.63 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__diff__number__of,axiom,
% 218.31/218.63 ! [V_m,V_v] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I23_J,axiom,
% 218.31/218.63 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I20_J,axiom,
% 218.31/218.63 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I6_J,axiom,
% 218.31/218.63 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I3_J,axiom,
% 218.31/218.63 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_eq__number__of__Pls__Min,axiom,
% 218.31/218.63 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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_not__neg__number__of__Pls,axiom,
% 218.31/218.63 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_iszero__Numeral0,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__1__add__number__of,axiom,
% 218.31/218.63 ! [V_v] :
% 218.31/218.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__number__of__add__1,axiom,
% 218.31/218.63 ! [V_v] :
% 218.31/218.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__iff__pred__less,axiom,
% 218.31/218.63 ! [V_l_2,V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_pred__def,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__Min__right,axiom,
% 218.31/218.63 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__Min,axiom,
% 218.31/218.63 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__number__of__diff__1,axiom,
% 218.31/218.63 ! [V_v] :
% 218.31/218.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_eq__0__number__of,axiom,
% 218.31/218.63 ! [V_v_2] :
% 218.31/218.63 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_eq__number__of__0,axiom,
% 218.31/218.63 ! [V_v_2] :
% 218.31/218.63 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_number__of2,axiom,
% 218.31/218.63 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))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__nat__number__of,axiom,
% 218.31/218.63 ! [V_v_H_2,V_v_2] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 218.31/218.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 218.31/218.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__nat__number__of,axiom,
% 218.31/218.63 ! [V_v_H_2,V_v_2] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 218.31/218.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_succ__def,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__bin__simps_I2_J,axiom,
% 218.31/218.63 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__special_I3_J,axiom,
% 218.31/218.63 ! [V_x_2,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 & class_Rings_Olinordered__idom(T_b) )
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__special_I1_J,axiom,
% 218.31/218.63 ! [V_y_2,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 & class_Rings_Olinordered__idom(T_b) )
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__special_I3_J,axiom,
% 218.31/218.63 ! [V_x_2,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 & class_Rings_Olinordered__idom(T_b) )
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__special_I1_J,axiom,
% 218.31/218.63 ! [V_y_2,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 & class_Rings_Olinordered__idom(T_b) )
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__0__number__of,axiom,
% 218.31/218.63 ! [V_v_2] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__nat__number__of,axiom,
% 218.31/218.63 ! [V_v_H,V_v] :
% 218.31/218.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 218.31/218.63 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 218.31/218.63 => 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) )
% 218.31/218.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 218.31/218.63 => 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)) ) ) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_number__of__succ,axiom,
% 218.31/218.63 ! [V_k,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_number__of__pred,axiom,
% 218.31/218.63 ! [V_w,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_eq__special_I4_J,axiom,
% 218.31/218.63 ! [V_x_2,T_b] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 218.31/218.63 <=> 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))))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_eq__special_I2_J,axiom,
% 218.31/218.63 ! [V_y_2,T_b] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 218.31/218.63 <=> 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)))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__special_I2_J,axiom,
% 218.31/218.63 ! [V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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)))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__special_I1_J,axiom,
% 218.31/218.63 ! [V_w,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_div__Suc__eq__div__add3,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__div__eq__add3__div,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I51_J,axiom,
% 218.31/218.63 ! [V_l_2,V_k_2] :
% 218.31/218.63 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 218.31/218.63 <=> V_k_2 = V_l_2 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I34_J,axiom,
% 218.31/218.63 ! [V_l_2,V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__eq__int__code_I16_J,axiom,
% 218.31/218.63 ! [V_k2_2,V_k1_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__int__code_I16_J,axiom,
% 218.31/218.63 ! [V_k2_2,V_k1_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I17_J,axiom,
% 218.31/218.63 ! [V_l_2,V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I39_J,axiom,
% 218.31/218.63 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I46_J,axiom,
% 218.31/218.63 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Bit1__Min,axiom,
% 218.31/218.63 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I43_J,axiom,
% 218.31/218.63 ! [V_l_2] :
% 218.31/218.63 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 218.31/218.63 <=> c_Int_OMin = V_l_2 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I47_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 218.31/218.63 <=> V_k_2 = c_Int_OMin ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_bin__less__0__simps_I4_J,axiom,
% 218.31/218.63 ! [V_w_2] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I22_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I12_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Bit1__def,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I26_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I30_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I13_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I9_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_neg__number__of__Bit1,axiom,
% 218.31/218.63 ! [V_w_2] :
% 218.31/218.63 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 218.31/218.63 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_minus__Bit1,axiom,
% 218.31/218.63 ! [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))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_iszero__number__of__Bit1,axiom,
% 218.31/218.63 ! [V_w,T_a] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 & class_Int_Oring__char__0(T_a) )
% 218.31/218.63 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_succ__Pls,axiom,
% 218.31/218.63 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_number__of__Bit1,axiom,
% 218.31/218.63 ! [V_w,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mult__numeral__1__right,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mult__numeral__1,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_numeral__1__eq__1,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_semiring__norm_I110_J,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I5_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I29_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_one__is__num__one,axiom,
% 218.31/218.63 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Numeral1__eq1__nat,axiom,
% 218.31/218.63 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_nat__numeral__1__eq__1,axiom,
% 218.31/218.63 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__bin__simps_I4_J,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_minus__Min,axiom,
% 218.31/218.63 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_not__iszero__Numeral1,axiom,
% 218.31/218.63 ! [T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_numeral__3__eq__3,axiom,
% 218.31/218.63 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)))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_numeral__1__eq__Suc__0,axiom,
% 218.31/218.63 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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_power3__eq__cube,axiom,
% 218.31/218.63 ! [V_a,T_a] :
% 218.31/218.63 ( class_Groups_Omonoid__mult(T_a)
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 218.31/218.63 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))))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc3__eq__add__3,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 218.31/218.63 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)))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 218.31/218.63 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)))) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__special_I2_J,axiom,
% 218.31/218.63 ! [V_y_2,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 & class_Rings_Olinordered__idom(T_b) )
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_le__special_I4_J,axiom,
% 218.31/218.63 ! [V_x_2,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 & class_Rings_Olinordered__idom(T_b) )
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__special_I2_J,axiom,
% 218.31/218.63 ! [V_y_2,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 & class_Rings_Olinordered__idom(T_b) )
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__special_I4_J,axiom,
% 218.31/218.63 ! [V_x_2,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_b)
% 218.31/218.63 & class_Rings_Olinordered__idom(T_b) )
% 218.31/218.63 => ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__special_I2_J,axiom,
% 218.31/218.63 ! [V_w,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__special_I3_J,axiom,
% 218.31/218.63 ! [V_v,T_a] :
% 218.31/218.63 ( class_Int_Onumber__ring(T_a)
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 218.31/218.63 ! [V_m,V_n] :
% 218.31/218.63 ( 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))
% 218.31/218.63 => 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)))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 218.31/218.63 ! [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) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zmod__number__of__Bit1,axiom,
% 218.31/218.63 ! [V_v,V_w] :
% 218.31/218.63 ( ( 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)))
% 218.31/218.63 => 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)) )
% 218.31/218.63 & ( ~ 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)))
% 218.31/218.63 => 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)) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_neg__zmod__mult__2,axiom,
% 218.31/218.63 ! [V_b,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 => 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)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_pos__zdiv__mult__2,axiom,
% 218.31/218.63 ! [V_b,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_neg__zdiv__mult__2,axiom,
% 218.31/218.63 ! [V_b,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.63 => 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) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_pos__zmod__mult__2,axiom,
% 218.31/218.63 ! [V_b,V_a] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.63 => 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))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_of__nat__double,axiom,
% 218.31/218.63 ! [V_x,T_a] :
% 218.31/218.63 ( class_Rings_Osemiring__1(T_a)
% 218.31/218.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 218.31/218.63 => 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))) ) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 218.31/218.63 ! [V_n] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.63 => 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)))))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I48_J,axiom,
% 218.31/218.63 ! [V_l_2,V_k_2] :
% 218.31/218.63 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 218.31/218.63 <=> V_k_2 = V_l_2 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__eq__int__code_I13_J,axiom,
% 218.31/218.63 ! [V_k2_2,V_k1_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I31_J,axiom,
% 218.31/218.63 ! [V_l_2,V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I14_J,axiom,
% 218.31/218.63 ! [V_l_2,V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__int__code_I13_J,axiom,
% 218.31/218.63 ! [V_k2_2,V_k1_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I44_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 218.31/218.63 <=> V_k_2 = c_Int_OPls ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I38_J,axiom,
% 218.31/218.63 ! [V_l_2] :
% 218.31/218.63 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 218.31/218.63 <=> c_Int_OPls = V_l_2 ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Bit0__Pls,axiom,
% 218.31/218.63 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I50_J,axiom,
% 218.31/218.63 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I49_J,axiom,
% 218.31/218.63 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_Bit0__def,axiom,
% 218.31/218.63 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__Bit0__Bit0,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_mult__Bit0,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__bin__simps_I7_J,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_minus__Bit0,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I45_J,axiom,
% 218.31/218.63 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I42_J,axiom,
% 218.31/218.63 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_bin__less__0__simps_I3_J,axiom,
% 218.31/218.63 ! [V_w_2] :
% 218.31/218.63 ( 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)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I27_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I21_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__eq__int__code_I14_J,axiom,
% 218.31/218.63 ! [V_k2_2,V_k1_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I32_J,axiom,
% 218.31/218.63 ! [V_l_2,V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I4_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I10_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I16_J,axiom,
% 218.31/218.63 ! [V_l_2,V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_less__int__code_I15_J,axiom,
% 218.31/218.63 ! [V_k2_2,V_k1_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__Bit1__Bit0,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_add__Bit0__Bit1,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__bin__simps_I3_J,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__bin__simps_I10_J,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_diff__bin__simps_I9_J,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I28_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_rel__simps_I8_J,axiom,
% 218.31/218.63 ! [V_k_2] :
% 218.31/218.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 218.31/218.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_zdiv__number__of__Bit0,axiom,
% 218.31/218.63 ! [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)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_neg__number__of__Bit0,axiom,
% 218.31/218.63 ! [V_w_2] :
% 218.31/218.63 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 218.31/218.63 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_pred__Bit1,axiom,
% 218.31/218.63 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_pred__Bit0,axiom,
% 218.31/218.63 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_pred__Min,axiom,
% 218.31/218.63 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 218.31/218.63
% 218.31/218.63 fof(fact_iszero__number__of__Bit0,axiom,
% 218.31/218.63 ! [V_w_2,T_b] :
% 218.31/218.63 ( ( class_Int_Onumber__ring(T_b)
% 218.31/218.64 & class_Int_Oring__char__0(T_b) )
% 218.31/218.64 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 218.31/218.64 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_succ__Bit0,axiom,
% 218.31/218.64 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_succ__Bit1,axiom,
% 218.31/218.64 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_number__of__Bit0,axiom,
% 218.31/218.64 ! [V_w,T_a] :
% 218.31/218.64 ( class_Int_Onumber__ring(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__eq__int__code_I15_J,axiom,
% 218.31/218.64 ! [V_k2_2,V_k1_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_rel__simps_I33_J,axiom,
% 218.31/218.64 ! [V_l_2,V_k_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__int__code_I14_J,axiom,
% 218.31/218.64 ! [V_k2_2,V_k1_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_rel__simps_I15_J,axiom,
% 218.31/218.64 ! [V_l_2,V_k_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mult__Bit1,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_rel__simps_I11_J,axiom,
% 218.31/218.64 ! [V_k_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_rel__simps_I25_J,axiom,
% 218.31/218.64 ! [V_k_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_diff__bin__simps_I6_J,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_diff__bin__simps_I5_J,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_diff__bin__simps_I8_J,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_add__Bit1__Bit1,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_double__number__of__Bit0,axiom,
% 218.31/218.64 ! [V_w,T_a] :
% 218.31/218.64 ( class_Int_Onumber__ring(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_number__of1,axiom,
% 218.31/218.64 ! [V_n] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( 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))))
% 218.31/218.64 & 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)))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mult__2__right,axiom,
% 218.31/218.64 ! [V_z,T_a] :
% 218.31/218.64 ( class_Int_Onumber__ring(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mult__2,axiom,
% 218.31/218.64 ! [V_z,T_a] :
% 218.31/218.64 ( class_Int_Onumber__ring(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_one__add__one__is__two,axiom,
% 218.31/218.64 ! [T_a] :
% 218.31/218.64 ( class_Int_Onumber__ring(T_a)
% 218.31/218.64 => 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zero__eq__power2,axiom,
% 218.31/218.64 ! [V_a_2,T_b] :
% 218.31/218.64 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 218.31/218.64 => ( 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)
% 218.31/218.64 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zero__power2,axiom,
% 218.31/218.64 ! [T_a] :
% 218.31/218.64 ( class_Rings_Osemiring__1(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_numeral__2__eq__2,axiom,
% 218.31/218.64 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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_semiring__norm_I115_J,axiom,
% 218.31/218.64 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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 218.31/218.64 ! [V_x,T_a] :
% 218.31/218.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.64 => 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)))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power2__eq__square,axiom,
% 218.31/218.64 ! [V_a,T_a] :
% 218.31/218.64 ( class_Groups_Omonoid__mult(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 218.31/218.64 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))))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_add__2__eq__Suc_H,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_add__2__eq__Suc,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_one__power2,axiom,
% 218.31/218.64 ! [T_a] :
% 218.31/218.64 ( class_Rings_Osemiring__1(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power2__minus,axiom,
% 218.31/218.64 ! [V_a,T_a] :
% 218.31/218.64 ( class_Rings_Oring__1(T_a)
% 218.31/218.64 => 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)))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__mult__2,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__mult__2__right,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power__even__eq,axiom,
% 218.31/218.64 ! [V_n,V_a,T_a] :
% 218.31/218.64 ( class_Groups_Omonoid__mult(T_a)
% 218.31/218.64 => 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)))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 218.31/218.64 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)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 218.31/218.64 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)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_abs__power2,axiom,
% 218.31/218.64 ! [V_a,T_a] :
% 218.31/218.64 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.64 => 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)))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power2__abs,axiom,
% 218.31/218.64 ! [V_a,T_a] :
% 218.31/218.64 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.64 => 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)))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__1__add__1,axiom,
% 218.31/218.64 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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mod2__Suc__Suc,axiom,
% 218.31/218.64 ! [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)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_div2__Suc__Suc,axiom,
% 218.31/218.64 ! [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))))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zmod__number__of__Bit0,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_add__self__div__2,axiom,
% 218.31/218.64 ! [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 ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power2__eq__imp__eq,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.64 => ( 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))))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 218.31/218.64 => V_x = V_y ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power2__le__imp__le,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.64 => ( 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))))))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zero__le__power2,axiom,
% 218.31/218.64 ! [V_a,T_a] :
% 218.31/218.64 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.64 => 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)))))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zero__less__power2,axiom,
% 218.31/218.64 ! [V_a_2,T_b] :
% 218.31/218.64 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.64 => ( 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))))))
% 218.31/218.64 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power2__less__0,axiom,
% 218.31/218.64 ! [V_a,T_a] :
% 218.31/218.64 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.64 => ~ 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_sum__power2__eq__zero__iff,axiom,
% 218.31/218.64 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.64 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.64 => ( 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)
% 218.31/218.64 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power2__eq__square__number__of,axiom,
% 218.31/218.64 ! [V_w,T_b] :
% 218.31/218.64 ( ( class_Groups_Omonoid__mult(T_b)
% 218.31/218.64 & class_Int_Onumber(T_b) )
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__2__cases,axiom,
% 218.31/218.64 ! [V_n] :
% 218.31/218.64 ( 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)))))
% 218.31/218.64 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.64 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__2,axiom,
% 218.31/218.64 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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power2__eq__1__iff,axiom,
% 218.31/218.64 ! [V_a_2,T_b] :
% 218.31/218.64 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 218.31/218.64 => ( 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)
% 218.31/218.64 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 218.31/218.64 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 218.31/218.64 ! [V_n,V_x,T_a] :
% 218.31/218.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power__minus__even,axiom,
% 218.31/218.64 ! [V_n,V_a,T_a] :
% 218.31/218.64 ( class_Rings_Oring__1(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power2__less__imp__less,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Rings_Olinordered__semidom(T_a)
% 218.31/218.64 => ( 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))))))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_sum__power2__ge__zero,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.64 => 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))))))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_sum__power2__le__zero__iff,axiom,
% 218.31/218.64 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.64 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.64 => ( 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)))
% 218.31/218.64 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_sum__power2__gt__zero__iff,axiom,
% 218.31/218.64 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.64 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.64 => ( 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)))))))
% 218.31/218.64 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_not__sum__power2__lt__zero,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.64 => ~ 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power2__sum,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Int_Onumber__ring(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zero__le__even__power_H,axiom,
% 218.31/218.64 ! [V_n,V_a,T_a] :
% 218.31/218.64 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.64 => 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)))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power__odd__eq,axiom,
% 218.31/218.64 ! [V_n,V_a,T_a] :
% 218.31/218.64 ( class_Groups_Omonoid__mult(T_a)
% 218.31/218.64 => 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))))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 218.31/218.64 ! [V_n,V_x,T_a] :
% 218.31/218.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.64 => 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power__minus1__even,axiom,
% 218.31/218.64 ! [V_n,T_a] :
% 218.31/218.64 ( class_Rings_Oring__1(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zdiv__number__of__Bit1,axiom,
% 218.31/218.64 ! [V_v,V_w] :
% 218.31/218.64 ( ( 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)))
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mod2__gr__0,axiom,
% 218.31/218.64 ! [V_m_2] :
% 218.31/218.64 ( 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))))))
% 218.31/218.64 <=> 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_div__2__gt__zero,axiom,
% 218.31/218.64 ! [V_n] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 218.31/218.64 => 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)))))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power2__diff,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Int_Onumber__ring(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 218.31/218.64 ! [V_n,V_a,T_a] :
% 218.31/218.64 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.64 => ( 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)))))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_odd__power__less__zero,axiom,
% 218.31/218.64 ! [V_n,V_a,T_a] :
% 218.31/218.64 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.64 => 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))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power__minus1__odd,axiom,
% 218.31/218.64 ! [V_n,T_a] :
% 218.31/218.64 ( class_Rings_Oring__1(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power__m1__even,axiom,
% 218.31/218.64 ! [V_n,T_a] :
% 218.31/218.64 ( class_Int_Onumber__ring(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power__m1__odd,axiom,
% 218.31/218.64 ! [V_n,T_a] :
% 218.31/218.64 ( class_Int_Onumber__ring(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_int__of__code,axiom,
% 218.31/218.64 ! [V_k] :
% 218.31/218.64 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 218.31/218.64 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 218.31/218.64 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 218.31/218.64 => ( ( 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)
% 218.31/218.64 => 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)))))) )
% 218.31/218.64 & ( 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)
% 218.31/218.64 => 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)) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_one__code__numeral__code,axiom,
% 218.31/218.64 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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_half__gt__zero,axiom,
% 218.31/218.64 ! [V_r,T_a] :
% 218.31/218.64 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 218.31/218.64 & class_Int_Onumber__ring(T_a) )
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 218.31/218.64 => 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)))))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_half__gt__zero__iff,axiom,
% 218.31/218.64 ! [V_r_2,T_b] :
% 218.31/218.64 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 & class_Int_Onumber__ring(T_b) )
% 218.31/218.64 => ( 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))))))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 218.31/218.64 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__intermed__int__val,axiom,
% 218.31/218.64 ! [V_k_2,V_f_2,V_na_2,V_m_2] :
% 218.31/218.64 ( ! [B_i] :
% 218.31/218.64 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) )
% 218.31/218.64 => 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))) )
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 218.31/218.64 => ? [B_i] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 218.31/218.64 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 218.31/218.64 ! [V_w] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ( 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))))
% 218.31/218.64 => 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))) )
% 218.31/218.64 & ( ~ 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))))
% 218.31/218.64 => 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)))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral__zero__minus__one,axiom,
% 218.31/218.64 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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__zero,axiom,
% 218.31/218.64 ! [V_a,T_a] :
% 218.31/218.64 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__zero__left,axiom,
% 218.31/218.64 ! [V_a,T_a] :
% 218.31/218.64 ( class_Rings_Odivision__ring(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_add__divide__distrib,axiom,
% 218.31/218.64 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.64 ( class_Rings_Odivision__ring(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_times__divide__eq__right,axiom,
% 218.31/218.64 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.64 ( class_Rings_Odivision__ring(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_times__divide__times__eq,axiom,
% 218.31/218.64 ! [V_w,V_z,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Fields_Ofield__inverse__zero(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_diff__divide__distrib,axiom,
% 218.31/218.64 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.64 ( class_Rings_Odivision__ring(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__1,axiom,
% 218.31/218.64 ! [V_a,T_a] :
% 218.31/218.64 ( class_Rings_Odivision__ring(T_a)
% 218.31/218.64 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_minus__divide__left,axiom,
% 218.31/218.64 ! [V_b,V_a,T_a] :
% 218.31/218.64 ( class_Rings_Odivision__ring(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_minus__divide__divide,axiom,
% 218.31/218.64 ! [V_b,V_a,T_a] :
% 218.31/218.64 ( class_Fields_Ofield__inverse__zero(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_minus__divide__right,axiom,
% 218.31/218.64 ! [V_b,V_a,T_a] :
% 218.31/218.64 ( class_Fields_Ofield__inverse__zero(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power__divide,axiom,
% 218.31/218.64 ! [V_n,V_b,V_a,T_a] :
% 218.31/218.64 ( class_Fields_Ofield__inverse__zero(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_abs__divide,axiom,
% 218.31/218.64 ! [V_b,V_a,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 218.31/218.64 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 218.31/218.64 ! [V_y,V_x] :
% 218.31/218.64 ( c_Nat__Transfer_Ois__nat(V_x)
% 218.31/218.64 => ( c_Nat__Transfer_Ois__nat(V_y)
% 218.31/218.64 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 218.31/218.64 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 218.31/218.64 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 218.31/218.64 ! [V_y,V_x] :
% 218.31/218.64 ( c_Nat__Transfer_Ois__nat(V_x)
% 218.31/218.64 => ( c_Nat__Transfer_Ois__nat(V_y)
% 218.31/218.64 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 218.31/218.64 ! [V_y,V_x] :
% 218.31/218.64 ( c_Nat__Transfer_Ois__nat(V_x)
% 218.31/218.64 => ( c_Nat__Transfer_Ois__nat(V_y)
% 218.31/218.64 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 218.31/218.64 ! [V_y,V_x] :
% 218.31/218.64 ( c_Nat__Transfer_Ois__nat(V_x)
% 218.31/218.64 => ( c_Nat__Transfer_Ois__nat(V_y)
% 218.31/218.64 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 218.31/218.64 ! [V_n,V_x] :
% 218.31/218.64 ( c_Nat__Transfer_Ois__nat(V_x)
% 218.31/218.64 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zero__le__divide__iff,axiom,
% 218.31/218.64 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 => ( 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)))
% 218.31/218.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 218.31/218.64 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__le__0__iff,axiom,
% 218.31/218.64 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 => ( 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)))
% 218.31/218.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 218.31/218.64 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__right__mono,axiom,
% 218.31/218.64 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__right__mono__neg,axiom,
% 218.31/218.64 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zero__less__divide__iff,axiom,
% 218.31/218.64 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 => ( 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)))
% 218.31/218.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 218.31/218.64 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__less__0__iff,axiom,
% 218.31/218.64 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 => ( 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)))
% 218.31/218.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 218.31/218.64 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__pos__pos,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__pos__neg,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__neg__pos,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__neg__neg,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__strict__right__mono,axiom,
% 218.31/218.64 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__strict__right__mono__neg,axiom,
% 218.31/218.64 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_eq__divide__imp,axiom,
% 218.31/218.64 ! [V_b,V_a,V_c,T_a] :
% 218.31/218.64 ( class_Rings_Odivision__ring(T_a)
% 218.31/218.64 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 218.31/218.64 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__eq__imp,axiom,
% 218.31/218.64 ! [V_a,V_b,V_c,T_a] :
% 218.31/218.64 ( class_Rings_Odivision__ring(T_a)
% 218.31/218.64 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 218.31/218.64 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nonzero__divide__eq__eq,axiom,
% 218.31/218.64 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 218.31/218.64 ( class_Rings_Odivision__ring(T_b)
% 218.31/218.64 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 218.31/218.64 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nonzero__eq__divide__eq,axiom,
% 218.31/218.64 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 218.31/218.64 ( class_Rings_Odivision__ring(T_b)
% 218.31/218.64 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 218.31/218.64 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_eq__divide__eq,axiom,
% 218.31/218.64 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.64 ( class_Fields_Ofield__inverse__zero(T_b)
% 218.31/218.64 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 218.31/218.64 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 218.31/218.64 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__eq__eq,axiom,
% 218.31/218.64 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 218.31/218.64 ( class_Fields_Ofield__inverse__zero(T_b)
% 218.31/218.64 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 218.31/218.64 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 218.31/218.64 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mult__divide__mult__cancel__right,axiom,
% 218.31/218.64 ! [V_b,V_a,V_c,T_a] :
% 218.31/218.64 ( class_Fields_Ofield__inverse__zero(T_a)
% 218.31/218.64 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => 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) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mult__divide__mult__cancel__left,axiom,
% 218.31/218.64 ! [V_b,V_a,V_c,T_a] :
% 218.31/218.64 ( class_Fields_Ofield__inverse__zero(T_a)
% 218.31/218.64 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => 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) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_frac__eq__eq,axiom,
% 218.31/218.64 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 218.31/218.64 ( class_Fields_Ofield(T_b)
% 218.31/218.64 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => ( 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)
% 218.31/218.64 <=> 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) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_right__inverse__eq,axiom,
% 218.31/218.64 ! [V_a_2,V_b_2,T_b] :
% 218.31/218.64 ( class_Rings_Odivision__ring(T_b)
% 218.31/218.64 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 218.31/218.64 <=> V_a_2 = V_b_2 ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__self,axiom,
% 218.31/218.64 ! [V_a,T_a] :
% 218.31/218.64 ( class_Rings_Odivision__ring(T_a)
% 218.31/218.64 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__self__if,axiom,
% 218.31/218.64 ! [V_a,T_a] :
% 218.31/218.64 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 218.31/218.64 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 218.31/218.64 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nonzero__minus__divide__divide,axiom,
% 218.31/218.64 ! [V_a,V_b,T_a] :
% 218.31/218.64 ( class_Rings_Odivision__ring(T_a)
% 218.31/218.64 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => 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) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nonzero__minus__divide__right,axiom,
% 218.31/218.64 ! [V_a,V_b,T_a] :
% 218.31/218.64 ( class_Rings_Odivision__ring(T_a)
% 218.31/218.64 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nonzero__power__divide,axiom,
% 218.31/218.64 ! [V_n,V_a,V_b,T_a] :
% 218.31/218.64 ( class_Fields_Ofield(T_a)
% 218.31/218.64 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nonzero__abs__divide,axiom,
% 218.31/218.64 ! [V_a,V_b,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power__one__over,axiom,
% 218.31/218.64 ! [V_n,V_a,T_a] :
% 218.31/218.64 ( class_Fields_Ofield__inverse__zero(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 218.31/218.64 ! [V_y,V_x] :
% 218.31/218.64 ( c_Nat__Transfer_Ois__nat(V_x)
% 218.31/218.64 => ( c_Nat__Transfer_Ois__nat(V_y)
% 218.31/218.64 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_negDivAlg__div__mod,axiom,
% 218.31/218.64 ! [V_l,V_k] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_negDivAlg__minus1,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__nonneg__pos,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__nonneg__neg,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_frac__less2,axiom,
% 218.31/218.64 ! [V_z,V_w,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 218.31/218.64 => 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))) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_frac__less,axiom,
% 218.31/218.64 ! [V_z,V_w,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 218.31/218.64 => 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))) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_frac__le,axiom,
% 218.31/218.64 ! [V_z,V_w,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 218.31/218.64 => 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))) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__nonpos__pos,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__nonpos__neg,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__divide__eq,axiom,
% 218.31/218.64 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 218.31/218.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__less__eq,axiom,
% 218.31/218.64 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 218.31/218.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_pos__less__divide__eq,axiom,
% 218.31/218.64 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_b)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_pos__divide__less__eq,axiom,
% 218.31/218.64 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_b)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mult__imp__div__pos__less,axiom,
% 218.31/218.64 ! [V_z,V_x,V_y,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 218.31/218.64 => ( 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)))
% 218.31/218.64 => 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)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mult__imp__less__div__pos,axiom,
% 218.31/218.64 ! [V_x,V_z,V_y,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 218.31/218.64 => ( 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))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_neg__less__divide__eq,axiom,
% 218.31/218.64 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_b)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_neg__divide__less__eq,axiom,
% 218.31/218.64 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_b)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__strict__left__mono,axiom,
% 218.31/218.64 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.64 => ( 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)))
% 218.31/218.64 => 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))) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__strict__left__mono__neg,axiom,
% 218.31/218.64 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.64 => ( 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)))
% 218.31/218.64 => 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))) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_is__nat__def,axiom,
% 218.31/218.64 ! [V_x_2] :
% 218.31/218.64 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_add__frac__eq,axiom,
% 218.31/218.64 ! [V_w,V_x,V_z,V_y,T_a] :
% 218.31/218.64 ( class_Fields_Ofield(T_a)
% 218.31/218.64 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => 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)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__add__eq__iff,axiom,
% 218.31/218.64 ! [V_y,V_x,V_z,T_a] :
% 218.31/218.64 ( class_Fields_Ofield(T_a)
% 218.31/218.64 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => 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) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_add__frac__num,axiom,
% 218.31/218.64 ! [V_z,V_x,V_y,T_a] :
% 218.31/218.64 ( class_Fields_Ofield__inverse__zero(T_a)
% 218.31/218.64 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => 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) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_add__divide__eq__iff,axiom,
% 218.31/218.64 ! [V_y,V_x,V_z,T_a] :
% 218.31/218.64 ( class_Fields_Ofield(T_a)
% 218.31/218.64 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => 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) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_add__num__frac,axiom,
% 218.31/218.64 ! [V_x,V_z,V_y,T_a] :
% 218.31/218.64 ( class_Fields_Ofield__inverse__zero(T_a)
% 218.31/218.64 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => 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) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_diff__frac__eq,axiom,
% 218.31/218.64 ! [V_w,V_x,V_z,V_y,T_a] :
% 218.31/218.64 ( class_Fields_Ofield(T_a)
% 218.31/218.64 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => 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)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__diff__eq__iff,axiom,
% 218.31/218.64 ! [V_y,V_x,V_z,T_a] :
% 218.31/218.64 ( class_Fields_Ofield(T_a)
% 218.31/218.64 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => 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) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_diff__divide__eq__iff,axiom,
% 218.31/218.64 ! [V_y,V_x,V_z,T_a] :
% 218.31/218.64 ( class_Fields_Ofield(T_a)
% 218.31/218.64 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => 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) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_eq__divide__eq__number__of1,axiom,
% 218.31/218.64 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 218.31/218.64 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 218.31/218.64 & class_Int_Onumber(T_b) )
% 218.31/218.64 => ( 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))
% 218.31/218.64 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => 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 )
% 218.31/218.64 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_eq__divide__eq__number__of,axiom,
% 218.31/218.64 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 218.31/218.64 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 218.31/218.64 & class_Int_Onumber(T_b) )
% 218.31/218.64 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 218.31/218.64 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) = V_b_2 )
% 218.31/218.64 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__eq__eq__number__of,axiom,
% 218.31/218.64 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 218.31/218.64 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 218.31/218.64 & class_Int_Onumber(T_b) )
% 218.31/218.64 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)
% 218.31/218.64 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) )
% 218.31/218.64 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__eq__eq__number__of1,axiom,
% 218.31/218.64 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 218.31/218.64 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 218.31/218.64 & class_Int_Onumber(T_b) )
% 218.31/218.64 => ( 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
% 218.31/218.64 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.64 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__half__sum,axiom,
% 218.31/218.64 ! [V_b,V_a,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.31/218.64 => 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))))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_gt__half__sum,axiom,
% 218.31/218.64 ! [V_b,V_a,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__Numeral0,axiom,
% 218.31/218.64 ! [V_x,T_a] :
% 218.31/218.64 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 218.31/218.64 & class_Int_Onumber__ring(T_a) )
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_abs__div__pos,axiom,
% 218.31/218.64 ! [V_x,V_y,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__numeral__1,axiom,
% 218.31/218.64 ! [V_a,T_a] :
% 218.31/218.64 ( ( class_Fields_Ofield(T_a)
% 218.31/218.64 & class_Int_Onumber__ring(T_a) )
% 218.31/218.64 => 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 ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__Numeral1,axiom,
% 218.31/218.64 ! [V_x,T_a] :
% 218.31/218.64 ( ( class_Fields_Ofield(T_a)
% 218.31/218.64 & class_Int_Onumber__ring(T_a) )
% 218.31/218.64 => 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 ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__minus1,axiom,
% 218.31/218.64 ! [V_x,T_a] :
% 218.31/218.64 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 218.31/218.64 & class_Int_Onumber__ring(T_a) )
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zero__code__numeral__code,axiom,
% 218.31/218.64 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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__left__mono__neg,axiom,
% 218.31/218.64 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 218.31/218.64 => ( 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)))
% 218.31/218.64 => 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))) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__left__mono,axiom,
% 218.31/218.64 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 218.31/218.64 => ( 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)))
% 218.31/218.64 => 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))) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_neg__divide__le__eq,axiom,
% 218.31/218.64 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_b)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_neg__le__divide__eq,axiom,
% 218.31/218.64 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_b)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mult__imp__le__div__pos,axiom,
% 218.31/218.64 ! [V_x,V_z,V_y,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 218.31/218.64 => ( 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))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mult__imp__div__pos__le,axiom,
% 218.31/218.64 ! [V_z,V_x,V_y,T_a] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 218.31/218.64 => ( 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)))
% 218.31/218.64 => 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)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_pos__divide__le__eq,axiom,
% 218.31/218.64 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_b)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_pos__le__divide__eq,axiom,
% 218.31/218.64 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field(T_b)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__le__eq,axiom,
% 218.31/218.64 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 218.31/218.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_le__divide__eq,axiom,
% 218.31/218.64 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.64 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 218.31/218.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__divide__eq__number__of1,axiom,
% 218.31/218.64 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 218.31/218.64 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 & class_Int_Onumber(T_b) )
% 218.31/218.64 => ( 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))))
% 218.31/218.64 <=> ( ( 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)))
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => ( ( 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)))
% 218.31/218.64 => 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)))) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__divide__eq__number__of,axiom,
% 218.31/218.64 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 218.31/218.64 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 & class_Int_Onumber(T_b) )
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 218.31/218.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => 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))) ) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__less__eq__number__of,axiom,
% 218.31/218.64 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 218.31/218.64 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 & class_Int_Onumber(T_b) )
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 218.31/218.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => 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))) ) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__less__eq__number__of1,axiom,
% 218.31/218.64 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 218.31/218.64 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 & class_Int_Onumber(T_b) )
% 218.31/218.64 => ( 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))
% 218.31/218.64 <=> ( ( 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)))
% 218.31/218.64 => 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)))) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => ( ( 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)))
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_negDivAlg_Osimps,axiom,
% 218.31/218.64 ! [V_b,V_a] :
% 218.31/218.64 ( ( ( 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)))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ ( 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)))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 218.31/218.64 => 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))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power__diff,axiom,
% 218.31/218.64 ! [V_m,V_n,V_a,T_a] :
% 218.31/218.64 ( class_Fields_Ofield(T_a)
% 218.31/218.64 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 218.31/218.64 => 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)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_minus1__divide,axiom,
% 218.31/218.64 ! [V_x,T_a] :
% 218.31/218.64 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 218.31/218.64 & class_Int_Onumber__ring(T_a) )
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 218.31/218.64 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_negDivAlg__eqn,axiom,
% 218.31/218.64 ! [V_a,V_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.64 => ( ( 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)))
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_negDivAlg__eqn__number__of,axiom,
% 218.31/218.64 ! [V_w,V_v] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ( 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))))
% 218.31/218.64 => 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))) )
% 218.31/218.64 & ( ~ 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))))
% 218.31/218.64 => 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)))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__le__eq__number__of1,axiom,
% 218.31/218.64 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 218.31/218.64 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 & class_Int_Onumber(T_b) )
% 218.31/218.64 => ( 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))
% 218.31/218.64 <=> ( ( 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)))
% 218.31/218.64 => 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)))) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => ( ( 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)))
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divide__le__eq__number__of,axiom,
% 218.31/218.64 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 218.31/218.64 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 & class_Int_Onumber(T_b) )
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 218.31/218.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => 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))) ) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_le__divide__eq__number__of,axiom,
% 218.31/218.64 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 218.31/218.64 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 & class_Int_Onumber(T_b) )
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 218.31/218.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 218.31/218.64 => 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))) ) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_le__divide__eq__number__of1,axiom,
% 218.31/218.64 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 218.31/218.64 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 218.31/218.64 & class_Int_Onumber(T_b) )
% 218.31/218.64 => ( 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))))
% 218.31/218.64 <=> ( ( 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)))
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => ( ( 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)))
% 218.31/218.64 => 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)))) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 218.31/218.64 ! [V_w] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ( 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)))
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => 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)))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_posDivAlg_Osimps,axiom,
% 218.31/218.64 ! [V_b,V_a] :
% 218.31/218.64 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 218.31/218.64 => 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) )
% 218.31/218.64 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 218.31/218.64 => 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))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_posDivAlg__eqn__number__of,axiom,
% 218.31/218.64 ! [V_w,V_v] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ( 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)))
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => 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)))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_posDivAlg__eqn,axiom,
% 218.31/218.64 ! [V_a,V_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 218.31/218.64 => 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) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_negDivAlg_Opsimps,axiom,
% 218.31/218.64 ! [V_b_2,V_a_2] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ( ( 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)))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ ( 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)))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_pdivmod__def,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_accp__subset,axiom,
% 218.31/218.64 ! [V_R2_2,V_R1_2,T_b] :
% 218.31/218.64 ( 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))
% 218.31/218.64 => 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_accp__downward,axiom,
% 218.31/218.64 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 218.31/218.64 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_accp_Oequations,axiom,
% 218.31/218.64 ! [V_a_2,V_r_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 218.31/218.64 <=> ! [B_x] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 218.31/218.64 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_accp_Osimps,axiom,
% 218.31/218.64 ! [V_a_2,V_r_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 218.31/218.64 <=> ! [B_x] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 218.31/218.64 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_pdivmod__posDivAlg,axiom,
% 218.31/218.64 ! [V_k,V_l] :
% 218.31/218.64 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_posDivAlg__0,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_posDivAlg__div__mod,axiom,
% 218.31/218.64 ! [V_l,V_k] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_posDivAlg_Opsimps,axiom,
% 218.31/218.64 ! [V_b_2,V_a_2] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 218.31/218.64 => 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) )
% 218.31/218.64 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_negDivAlg_Opinduct,axiom,
% 218.31/218.64 ! [V_P_2,V_a1_2,V_a0_2] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ! [B_a,B_b] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ( ~ ( 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)))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_P_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__of__aux__code,axiom,
% 218.31/218.64 ! [V_n,V_i] :
% 218.31/218.64 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 218.31/218.64 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 218.31/218.64 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zmult2__lemma,axiom,
% 218.31/218.64 ! [V_c,V_r,V_q,V_b,V_a] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 218.31/218.64 => 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)))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_posDivAlg_Opinduct,axiom,
% 218.31/218.64 ! [V_P_2,V_a1_2,V_a0_2] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ! [B_a,B_b] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_P_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zmult1__lemma,axiom,
% 218.31/218.64 ! [V_a,V_r,V_q,V_c,V_b] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => 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)))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__int__rel__0,axiom,
% 218.31/218.64 ! [V_b] :
% 218.31/218.64 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => 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)))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_self__remainder,axiom,
% 218.31/218.64 ! [V_r,V_q,V_a] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_unique__quotient,axiom,
% 218.31/218.64 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( 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)))
% 218.31/218.64 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => V_q = V_q_H ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_unique__remainder,axiom,
% 218.31/218.64 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( 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)))
% 218.31/218.64 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => V_r = V_r_H ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_self__quotient,axiom,
% 218.31/218.64 ! [V_r,V_q,V_a] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__int__rel__mod,axiom,
% 218.31/218.64 ! [V_r,V_q,V_b,V_a] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__int__rel__div,axiom,
% 218.31/218.64 ! [V_r,V_q,V_b,V_a] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_negDivAlg__correct,axiom,
% 218.31/218.64 ! [V_b,V_a] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.64 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__int__rel__div__mod,axiom,
% 218.31/218.64 ! [V_a,V_b] :
% 218.31/218.64 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => 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)))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_posDivAlg__correct,axiom,
% 218.31/218.64 ! [V_b,V_a] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.64 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zadd1__lemma,axiom,
% 218.31/218.64 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( 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)))
% 218.31/218.64 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => 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)))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zminus1__lemma,axiom,
% 218.31/218.64 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => 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))))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__int__relI,axiom,
% 218.31/218.64 ! [V_r,V_q,V_b,V_a] :
% 218.31/218.64 ( 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)
% 218.31/218.64 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 218.31/218.64 => 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))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_equalityI,axiom,
% 218.31/218.64 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.64 => V_A_2 = V_B_2 ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral_Osize_I1_J,axiom,
% 218.31/218.64 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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__int__def,axiom,
% 218.31/218.64 ! [V_b,V_a] :
% 218.31/218.64 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.64 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.64 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => 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))) ) ) ) ) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.64 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.64 => 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))) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mod__pos__pos__1__number__of,axiom,
% 218.31/218.64 ! [V_w] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__int__mod__div,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_div__pos__pos__1__number__of,axiom,
% 218.31/218.64 ! [V_w] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_div__int__def,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mod__int__def,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_div__pos__neg,axiom,
% 218.31/218.64 ! [V_b,V_a] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => 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)))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Compl__subset__Compl__iff,axiom,
% 218.31/218.64 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Compl__anti__mono,axiom,
% 218.31/218.64 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.64 => 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_subset__refl,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_set__eq__subset,axiom,
% 218.31/218.64 ! [T_b,V_B_2,V_A_2] :
% 218.31/218.64 ( V_A_2 = V_B_2
% 218.31/218.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_equalityD1,axiom,
% 218.31/218.64 ! [T_b,V_B_2,V_A_2] :
% 218.31/218.64 ( V_A_2 = V_B_2
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_equalityD2,axiom,
% 218.31/218.64 ! [T_b,V_B_2,V_A_2] :
% 218.31/218.64 ( V_A_2 = V_B_2
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_subset__trans,axiom,
% 218.31/218.64 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_equalityE,axiom,
% 218.31/218.64 ! [T_b,V_B_2,V_A_2] :
% 218.31/218.64 ( V_A_2 = V_B_2
% 218.31/218.64 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.64 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_psubset__eq,axiom,
% 218.31/218.64 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.64 & V_A_2 != V_B_2 ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_subset__iff__psubset__eq,axiom,
% 218.31/218.64 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.64 | V_A_2 = V_B_2 ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_psubset__imp__subset,axiom,
% 218.31/218.64 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_psubset__subset__trans,axiom,
% 218.31/218.64 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_subset__psubset__trans,axiom,
% 218.31/218.64 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_double__diff,axiom,
% 218.31/218.64 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 218.31/218.64 => 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 ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Diff__mono,axiom,
% 218.31/218.64 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 218.31/218.64 => 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))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Diff__subset,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mod__pos__neg,axiom,
% 218.31/218.64 ! [V_b,V_a] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => 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)))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_div__neg__neg,axiom,
% 218.31/218.64 ! [V_b,V_a] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => 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)))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_negateSnd__eq,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mod__neg__neg,axiom,
% 218.31/218.64 ! [V_b,V_a] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => 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)))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__int__rel__neg,axiom,
% 218.31/218.64 ! [V_qr,V_b,V_a] :
% 218.31/218.64 ( 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))
% 218.31/218.64 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_div__neg__pos,axiom,
% 218.31/218.64 ! [V_b,V_a] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_div__pos__neg__1__number__of,axiom,
% 218.31/218.64 ! [V_w] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => 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))))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mod__neg__pos,axiom,
% 218.31/218.64 ! [V_b,V_a] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__int__correct,axiom,
% 218.31/218.64 ! [V_a,V_b] :
% 218.31/218.64 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mod__pos__neg__1__number__of,axiom,
% 218.31/218.64 ! [V_w] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => 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))))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_div__pos__pos,axiom,
% 218.31/218.64 ! [V_b,V_a] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mod__pos__pos,axiom,
% 218.31/218.64 ! [V_b,V_a] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_prod__size__simp,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_surjective__pairing,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_pair__collapse,axiom,
% 218.31/218.64 ! [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 ).
% 218.31/218.64
% 218.31/218.64 fof(fact_conjI__realizer,axiom,
% 218.31/218.64 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_P_2] :
% 218.31/218.64 ( hBOOL(hAPP(V_P_2,V_p_2))
% 218.31/218.64 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 218.31/218.64 => ( hBOOL(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2))))
% 218.31/218.64 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_exI__realizer,axiom,
% 218.31/218.64 ! [T_b,T_c,V_x_2,V_y_2,V_P_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral_Osize_I2_J,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Compl__eq__Compl__iff,axiom,
% 218.31/218.64 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.64 ( 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)
% 218.31/218.64 <=> V_A_2 = V_B_2 ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_double__complement,axiom,
% 218.31/218.64 ! [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 ).
% 218.31/218.64
% 218.31/218.64 fof(fact_psubset__trans,axiom,
% 218.31/218.64 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Diff__idemp,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral_Oinject,axiom,
% 218.31/218.64 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 218.31/218.64 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 218.31/218.64 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 218.31/218.64 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_div__nat__def,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mod__nat__def,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__nat__rel__def,axiom,
% 218.31/218.64 ! [V_qr_2,V_na_2,V_m_2] :
% 218.31/218.64 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_na_2),V_qr_2))
% 218.31/218.64 <=> ( 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_na_2)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))
% 218.31/218.64 & ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.64 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 218.31/218.64 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 218.31/218.64 => ( 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)))
% 218.31/218.64 & 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_na_2)) ) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 218.31/218.64 & 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))) ) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Pair__inject,axiom,
% 218.31/218.64 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 218.31/218.64 ( 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)
% 218.31/218.64 => ~ ( V_a = V_a_H
% 218.31/218.64 => V_b != V_b_H ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Pair__eq,axiom,
% 218.31/218.64 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.64 ( 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)
% 218.31/218.64 <=> ( V_a_2 = V_a_H_2
% 218.31/218.64 & V_b_2 = V_b_H_2 ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_split__paired__All,axiom,
% 218.31/218.64 ! [T_c,T_b,V_P_2] :
% 218.31/218.64 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 218.31/218.64 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Suc__code__numeral__minus__one,axiom,
% 218.31/218.64 ! [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 ).
% 218.31/218.64
% 218.31/218.64 fof(fact_fst__eqD,axiom,
% 218.31/218.64 ! [V_a,V_y,V_x,T_b,T_a] :
% 218.31/218.64 ( 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
% 218.31/218.64 => V_x = V_a ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_fst__conv,axiom,
% 218.31/218.64 ! [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 ).
% 218.31/218.64
% 218.31/218.64 fof(fact_snd__eqD,axiom,
% 218.31/218.64 ! [V_a,V_y,V_x,T_a,T_b] :
% 218.31/218.64 ( 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
% 218.31/218.64 => V_y = V_a ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_snd__conv,axiom,
% 218.31/218.64 ! [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 ).
% 218.31/218.64
% 218.31/218.64 fof(fact_prod__eqI,axiom,
% 218.31/218.64 ! [V_q,V_p,T_b,T_a] :
% 218.31/218.64 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 218.31/218.64 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 218.31/218.64 => V_p = V_q ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Pair__fst__snd__eq,axiom,
% 218.31/218.64 ! [T_c,T_b,V_ta_2,V_s_2] :
% 218.31/218.64 ( V_s_2 = V_ta_2
% 218.31/218.64 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_ta_2)
% 218.31/218.64 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_ta_2) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_div__mod__code__numeral__def,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral_Osize_I4_J,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_prod_Orecs,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral_Osize_I3_J,axiom,
% 218.31/218.64 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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_adjust__eq,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_fun__diff__def,axiom,
% 218.31/218.64 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.64 ( class_Groups_Ominus(T_b)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_fun__Compl__def,axiom,
% 218.31/218.64 ! [V_x_2,V_A_2,T_c,T_b] :
% 218.31/218.64 ( class_Groups_Ouminus(T_b)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 218.31/218.64 ! [V_na_2,V_m_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 218.31/218.64 <=> 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_na_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__eq__Suc__le__raw,axiom,
% 218.31/218.64 ! [V_na_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_diff__Suc,axiom,
% 218.31/218.64 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_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_na_2)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__number__of__Bit0,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power__number__of__even,axiom,
% 218.31/218.64 ! [V_w_2,V_z_2,T_b] :
% 218.31/218.64 ( class_Int_Onumber__ring(T_b)
% 218.31/218.64 => 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zpower__number__of__even,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power__number__of__even__number__of,axiom,
% 218.31/218.64 ! [V_w_2,V_v_2,T_b] :
% 218.31/218.64 ( class_Int_Onumber__ring(T_b)
% 218.31/218.64 => 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_diff__nat__eq__if,axiom,
% 218.31/218.64 ! [V_z_2,V_z_H_2] :
% 218.31/218.64 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 218.31/218.64 => 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) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 218.31/218.64 ! [V_na_2,T_b] :
% 218.31/218.64 ( class_Rings_Osemiring__1(T_b)
% 218.31/218.64 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_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_na_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_eq__number__of__Suc,axiom,
% 218.31/218.64 ! [V_na_2,V_v_2] :
% 218.31/218.64 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_na_2)
% 218.31/218.64 <=> 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_na_2))))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Suc__eq__number__of,axiom,
% 218.31/218.64 ! [V_v_2,V_na_2] :
% 218.31/218.64 ( hAPP(c_Nat_OSuc,V_na_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 218.31/218.64 <=> 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_na_2))))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__case__number__of,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__rec__number__of,axiom,
% 218.31/218.64 ! [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)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__number__of__Bit1,axiom,
% 218.31/218.64 ! [V_w_2] :
% 218.31/218.64 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 218.31/218.64 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 218.31/218.64 => 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)))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__number__of__Suc,axiom,
% 218.31/218.64 ! [V_na_2,V_v_2] :
% 218.31/218.64 ( 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_na_2)))
% 218.31/218.64 <=> 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_na_2)))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__Suc__number__of,axiom,
% 218.31/218.64 ! [V_v_2,V_na_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 218.31/218.64 <=> 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_na_2)),c_Int_Onat))))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_le__number__of__Suc,axiom,
% 218.31/218.64 ! [V_na_2,V_v_2] :
% 218.31/218.64 ( 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_na_2)))
% 218.31/218.64 <=> 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_na_2)))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_le__Suc__number__of,axiom,
% 218.31/218.64 ! [V_v_2,V_na_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 218.31/218.64 <=> 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_na_2)),c_Int_Onat))))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__case__add__eq__if,axiom,
% 218.31/218.64 ! [V_na_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_na_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_na_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_na_2)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__rec__add__eq__if,axiom,
% 218.31/218.64 ! [V_na_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_na_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_na_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_na_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_na_2))))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power__number__of__odd,axiom,
% 218.31/218.64 ! [V_z_2,V_w_2,T_b] :
% 218.31/218.64 ( class_Int_Onumber__ring(T_b)
% 218.31/218.64 => ( ( 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)))
% 218.31/218.64 => 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))) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => 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) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zpower__number__of__odd,axiom,
% 218.31/218.64 ! [V_z_2,V_w_2] :
% 218.31/218.64 ( ( 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)))
% 218.31/218.64 => 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))) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => 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) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_power__number__of__odd__number__of,axiom,
% 218.31/218.64 ! [V_v_2,V_w_2,T_b] :
% 218.31/218.64 ( class_Int_Onumber__ring(T_b)
% 218.31/218.64 => ( ( 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)))
% 218.31/218.64 => 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))) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => 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) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_diff__nat__number__of,axiom,
% 218.31/218.64 ! [V_v_2,V_v_H_2] :
% 218.31/218.64 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 218.31/218.64 => 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) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 218.31/218.64 ! [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 ).
% 218.31/218.64
% 218.31/218.64 fof(fact_of__int__num,axiom,
% 218.31/218.64 ! [V_k_2,T_b] :
% 218.31/218.64 ( class_Rings_Oring__1(T_b)
% 218.31/218.64 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 218.31/218.64 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => 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))) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => 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))))) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_adjust__def,axiom,
% 218.31/218.64 ! [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))))))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__int__pdivmod,axiom,
% 218.31/218.64 ! [V_l_2,V_k_2] :
% 218.31/218.64 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => 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) )
% 218.31/218.64 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => 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)))) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__number__of__Suc,axiom,
% 218.31/218.64 ! [V_v_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_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_na_2)),c_Int_Onat)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__Suc__number__of,axiom,
% 218.31/218.64 ! [V_na_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_na_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_na_2)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__nat__if,axiom,
% 218.31/218.64 ! [V_m_2,V_na_2] :
% 218.31/218.64 ( ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 218.31/218.64 => c_Divides_Odivmod__nat(V_m_2,V_na_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2) )
% 218.31/218.64 & ( ~ ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 218.31/218.64 => c_Divides_Odivmod__nat(V_m_2,V_na_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_na_2),V_na_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_split__twice,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf_Oidem,axiom,
% 218.31/218.64 ! [V_a,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf_Ocommute,axiom,
% 218.31/218.64 ! [V_b,V_a,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf__commute,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 218.31/218.64 ! [V_b,V_a,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf__left__idem,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 218.31/218.64 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf__left__commute,axiom,
% 218.31/218.64 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf_Oassoc,axiom,
% 218.31/218.64 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf__assoc,axiom,
% 218.31/218.64 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_split__weak__cong,axiom,
% 218.31/218.64 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 218.31/218.64 ( V_p_2 = V_q_2
% 218.31/218.64 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_q_2) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__le__iff__disj,axiom,
% 218.31/218.64 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_b)
% 218.31/218.64 => ( 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))
% 218.31/218.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf__le1,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf__le2,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Ole__iff__inf,axiom,
% 218.31/218.64 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_b)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.31/218.64 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Ole__inf__iff,axiom,
% 218.31/218.64 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_b)
% 218.31/218.64 => ( 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)))
% 218.31/218.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Ole__infI1,axiom,
% 218.31/218.64 ! [V_b,V_x,V_a,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Ole__infI2,axiom,
% 218.31/218.64 ! [V_a,V_x,V_b,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf__absorb1,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.64 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf__absorb2,axiom,
% 218.31/218.64 ! [V_x,V_y,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 218.31/218.64 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Ole__infI,axiom,
% 218.31/218.64 ! [V_b,V_a,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf__greatest,axiom,
% 218.31/218.64 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf__mono,axiom,
% 218.31/218.64 ! [V_d,V_b,V_c,V_a,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Ole__infE,axiom,
% 218.31/218.64 ! [V_b,V_a,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( 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)))
% 218.31/218.64 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 218.31/218.64 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__less__iff__disj,axiom,
% 218.31/218.64 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_b)
% 218.31/218.64 => ( 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))
% 218.31/218.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__less__iff__conj,axiom,
% 218.31/218.64 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_b)
% 218.31/218.64 => ( 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)))
% 218.31/218.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oless__infI1,axiom,
% 218.31/218.64 ! [V_b,V_x,V_a,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oless__infI2,axiom,
% 218.31/218.64 ! [V_a,V_x,V_b,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__add__distrib__left,axiom,
% 218.31/218.64 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__diff__distrib__left,axiom,
% 218.31/218.64 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Groups_Oordered__ab__group__add(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__0L,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__0R,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__Suc__Suc,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__diff,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_prod_Osimps_I2_J,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_split__conv,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_split__eta,axiom,
% 218.31/218.64 ! [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 ).
% 218.31/218.64
% 218.31/218.64 fof(fact_apsnd__conv,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_fst__def,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_snd__def,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_fst__apsnd,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_snd__apsnd,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_apsnd__eq__conv,axiom,
% 218.31/218.64 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 218.31/218.64 ( 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)
% 218.31/218.64 <=> 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__number__of,axiom,
% 218.31/218.64 ! [V_v,V_u,T_b] :
% 218.31/218.64 ( ( class_Int_Onumber(T_b)
% 218.31/218.64 & class_Orderings_Oord(T_b) )
% 218.31/218.64 => ( ( 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)))
% 218.31/218.64 => 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) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => 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) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__Suc2,axiom,
% 218.31/218.64 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_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_na_2)),V_m_2) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__Suc1,axiom,
% 218.31/218.64 ! [V_m_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_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_na_2)),V_m_2) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_prod__case__beta,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_split__beta,axiom,
% 218.31/218.64 ! [V_z_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_P_2),V_z_2) = hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_split__comp__eq,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_split__def,axiom,
% 218.31/218.64 ! [V_p_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_c_2),V_p_2) = hAPP(hAPP(V_c_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_negateSnd__def,axiom,
% 218.31/218.64 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__int__rel__def,axiom,
% 218.31/218.64 ! [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))))))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__int__code,axiom,
% 218.31/218.64 ! [V_l_2,V_k_2] :
% 218.31/218.64 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => 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) )
% 218.31/218.64 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 => 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)))) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__ord__min,axiom,
% 218.31/218.64 ! [T_b] :
% 218.31/218.64 ( class_Orderings_Oord(T_b)
% 218.31/218.64 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_max__Suc__number__of,axiom,
% 218.31/218.64 ! [V_na_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_na_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_na_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_na_2)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_max__number__of__Suc,axiom,
% 218.31/218.64 ! [V_v_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_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_na_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_na_2)),c_Int_Onat)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_apsnd__apfst,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_apfst__apsnd,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_norm__frac_Osimps,axiom,
% 218.31/218.64 ! [V_a_2,V_b_2] :
% 218.31/218.64 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 218.31/218.64 => 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))) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_splitI,axiom,
% 218.31/218.64 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 218.31/218.64 => 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_prod__caseI,axiom,
% 218.31/218.64 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 218.31/218.64 => 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup__assoc,axiom,
% 218.31/218.64 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup_Oassoc,axiom,
% 218.31/218.64 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup__left__commute,axiom,
% 218.31/218.64 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 218.31/218.64 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup__left__idem,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 218.31/218.64 ! [V_b,V_a,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup__commute,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup_Ocommute,axiom,
% 218.31/218.64 ! [V_b,V_a,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup_Oidem,axiom,
% 218.31/218.64 ! [V_a,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_splitD,axiom,
% 218.31/218.64 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Ole__supE,axiom,
% 218.31/218.64 ! [V_x,V_b,V_a,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( 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))
% 218.31/218.64 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 218.31/218.64 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup__mono,axiom,
% 218.31/218.64 ! [V_d,V_b,V_c,V_a,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 218.31/218.64 => 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))) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup__least,axiom,
% 218.31/218.64 ! [V_z,V_x,V_y,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 218.31/218.64 => 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)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Ole__supI,axiom,
% 218.31/218.64 ! [V_b,V_x,V_a,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 218.31/218.64 => 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)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup__absorb1,axiom,
% 218.31/218.64 ! [V_x,V_y,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 218.31/218.64 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup__absorb2,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.64 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Ole__supI2,axiom,
% 218.31/218.64 ! [V_a,V_b,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 218.31/218.64 => 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))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Ole__supI1,axiom,
% 218.31/218.64 ! [V_b,V_a,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 218.31/218.64 => 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))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Ole__sup__iff,axiom,
% 218.31/218.64 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_b)
% 218.31/218.64 => ( 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))
% 218.31/218.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Ole__iff__sup,axiom,
% 218.31/218.64 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_b)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.31/218.64 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_le__maxI2,axiom,
% 218.31/218.64 ! [V_x,V_y,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_le__maxI1,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_le__max__iff__disj,axiom,
% 218.31/218.64 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_b)
% 218.31/218.64 => ( 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)))
% 218.31/218.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oless__supI2,axiom,
% 218.31/218.64 ! [V_a,V_b,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 218.31/218.64 => 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))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oless__supI1,axiom,
% 218.31/218.64 ! [V_b,V_a,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 218.31/218.64 => 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))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__max__iff__disj,axiom,
% 218.31/218.64 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_b)
% 218.31/218.64 => ( 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)))
% 218.31/218.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_max__less__iff__conj,axiom,
% 218.31/218.64 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_b)
% 218.31/218.64 => ( 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))
% 218.31/218.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 218.31/218.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_max__add__distrib__left,axiom,
% 218.31/218.64 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_max__diff__distrib__left,axiom,
% 218.31/218.64 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Groups_Oordered__ab__group__add(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_max__0R,axiom,
% 218.31/218.64 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 218.31/218.64
% 218.31/218.64 fof(fact_max__0L,axiom,
% 218.31/218.64 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 218.31/218.64
% 218.31/218.64 fof(fact_max__Suc__Suc,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 218.31/218.64 ! [V_x,V_z,V_y,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 218.31/218.64 ! [V_x,V_z,V_y,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 218.31/218.64 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 218.31/218.64 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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 ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Osup__inf__absorb,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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 ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_splitD_H,axiom,
% 218.31/218.64 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_c_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_apfst__conv,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_apfst__eq__conv,axiom,
% 218.31/218.64 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 218.31/218.64 ( 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)
% 218.31/218.64 <=> 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_fst__apfst,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_snd__apfst,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_max__number__of,axiom,
% 218.31/218.64 ! [V_v,V_u,T_b] :
% 218.31/218.64 ( ( class_Int_Onumber(T_b)
% 218.31/218.64 & class_Orderings_Oord(T_b) )
% 218.31/218.64 => ( ( 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)))
% 218.31/218.64 => 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) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => 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) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Odistrib__sup__le,axiom,
% 218.31/218.64 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_min__max_Odistrib__inf__le,axiom,
% 218.31/218.64 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => 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)))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_minus__max__eq__min,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Groups_Olinordered__ab__group__add(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_minus__min__eq__max,axiom,
% 218.31/218.64 ! [V_y,V_x,T_a] :
% 218.31/218.64 ( class_Groups_Olinordered__ab__group__add(T_a)
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__minus__add__max,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_apsnd__apfst__commute,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_max__Suc1,axiom,
% 218.31/218.64 ! [V_m_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_na_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_na_2)),V_m_2) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_max__Suc2,axiom,
% 218.31/218.64 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_na_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_na_2)),V_m_2) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_OFrac__def,axiom,
% 218.31/218.64 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)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_norm__frac_Opsimps,axiom,
% 218.31/218.64 ! [V_b_2,V_a_2] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.64 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 218.31/218.64 => 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))) ) ) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_dual__min,axiom,
% 218.31/218.64 ! [T_b] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_b)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 218.31/218.64 ! [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)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_max__ord__max,axiom,
% 218.31/218.64 ! [T_b] :
% 218.31/218.64 ( class_Orderings_Oord(T_b)
% 218.31/218.64 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Min_Oidem,axiom,
% 218.31/218.64 ! [V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Max_Oidem,axiom,
% 218.31/218.64 ! [V_x,T_a] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_a)
% 218.31/218.64 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_dual__max,axiom,
% 218.31/218.64 ! [T_b] :
% 218.31/218.64 ( class_Orderings_Olinorder(T_b)
% 218.31/218.64 => 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) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__gcd_Osimps,axiom,
% 218.31/218.64 ! [V_x,V_y] :
% 218.31/218.64 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.64 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 218.31/218.64 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__gcd_Opsimps,axiom,
% 218.31/218.64 ! [V_y_2,V_x_2] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.64 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 218.31/218.64 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.64 => 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)) ) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_norm__frac_Opinduct,axiom,
% 218.31/218.64 ! [V_P_2,V_a1_2,V_a0_2] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ! [B_a,B_b] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) )
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 218.31/218.64 ! [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)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_Oone__frac__def,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_Ofrac__def,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__gcd_Opinduct,axiom,
% 218.31/218.64 ! [V_P_2,V_a1_2,V_a0_2] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ! [B_x,B_y] :
% 218.31/218.64 ( 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)))
% 218.31/218.64 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) )
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_scomp__unfold,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_scomp__scomp,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_scomp__Pair,axiom,
% 218.31/218.64 ! [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 ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Pair__scomp,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_scomp__apply,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_scomp__def,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_iterate_Osimps,axiom,
% 218.31/218.64 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 218.31/218.64 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 218.31/218.64 => 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) )
% 218.31/218.64 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_log_Osimps,axiom,
% 218.31/218.64 ! [V_i,V_b] :
% 218.31/218.64 ( ( ( 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)))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 218.31/218.64 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 218.31/218.64 & ( ~ ( 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)))
% 218.31/218.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 218.31/218.64 => 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))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_internal__split__def,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_transfer__morphism__int__nat,axiom,
% 218.31/218.64 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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_internal__split__conv,axiom,
% 218.31/218.64 ! [V_b_2,V_a_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_c_2,V_a_2),V_b_2) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_Oof__frac__def,axiom,
% 218.31/218.64 ! [V_q,T_a,T_b] :
% 218.31/218.64 ( ( class_Rings_Oinverse(T_b)
% 218.31/218.64 & class_Rings_Oring__1(T_b) )
% 218.31/218.64 => 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_minus__shift__def,axiom,
% 218.31/218.64 ! [V_r,V_l,V_k] :
% 218.31/218.64 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 218.31/218.64 => 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) )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 218.31/218.64 => 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) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_Oless__frac__def,axiom,
% 218.31/218.64 ! [V_r_2,V_q_2,T_b] :
% 218.31/218.64 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 218.31/218.64 <=> 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 218.31/218.64 ! [V_r_2,V_q_2,T_b] :
% 218.31/218.64 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 218.31/218.64 <=> 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_inc__shift__def,axiom,
% 218.31/218.64 ! [V_k,V_v] :
% 218.31/218.64 ( ( V_v = V_k
% 218.31/218.64 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 218.31/218.64 & ( V_v != V_k
% 218.31/218.64 => 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)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_range,axiom,
% 218.31/218.64 ! [V_s,V_k] :
% 218.31/218.64 ( 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))
% 218.31/218.64 => 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_minus__code__numeral__code,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_subtract__code__numeral__def,axiom,
% 218.31/218.64 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_pair__box_Osize_I1_J,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_predicate2D,axiom,
% 218.31/218.64 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_c,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_P_2),V_Q_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_rev__predicate2D,axiom,
% 218.31/218.64 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_P_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_P_2),V_Q_2))
% 218.31/218.64 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_The__split,axiom,
% 218.31/218.64 ! [V_P_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_pair__box_Oinject,axiom,
% 218.31/218.64 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.64 ( 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)
% 218.31/218.64 <=> ( V_a_2 = V_a_H_2
% 218.31/218.64 & V_b_2 = V_b_H_2 ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_split__paired__The,axiom,
% 218.31/218.64 ! [V_P_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_P_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_The__split__eq,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_predicate1D,axiom,
% 218.31/218.64 ! [V_x_2,V_Q_2,V_P_2,T_b] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))
% 218.31/218.64 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 218.31/218.64 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_rev__predicate1D,axiom,
% 218.31/218.64 ! [V_Q_2,T_b,V_x_2,V_P_2] :
% 218.31/218.64 ( hBOOL(hAPP(V_P_2,V_x_2))
% 218.31/218.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))
% 218.31/218.64 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_divmod__nat__def,axiom,
% 218.31/218.64 ! [V_na_2,V_m_2] : c_Divides_Odivmod__nat(V_m_2,V_na_2) = c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(V_m_2,V_na_2)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 218.31/218.64 ! [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 ).
% 218.31/218.64
% 218.31/218.64 fof(fact_pair__box_Osize_I2_J,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_pair__box_Orecs,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_pair__box_Osimps_I2_J,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_the__eq__trivial,axiom,
% 218.31/218.64 ! [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 ).
% 218.31/218.64
% 218.31/218.64 fof(fact_the__sym__eq__trivial,axiom,
% 218.31/218.64 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Random_Osimps,axiom,
% 218.31/218.64 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 218.31/218.64 ( ( 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)))
% 218.31/218.64 => 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)) )
% 218.31/218.64 & ( ~ 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)))
% 218.31/218.64 => 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))))))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_exE__realizer,axiom,
% 218.31/218.64 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_P_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2)))
% 218.31/218.64 => ( ! [B_x,B_y] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(V_P_2,B_y),B_x))
% 218.31/218.64 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 218.31/218.64 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral__not__eq__zero,axiom,
% 218.31/218.64 ! [V_i_2] :
% 218.31/218.64 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 218.31/218.64 <=> 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)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_beyond__def,axiom,
% 218.31/218.64 ! [V_l,V_k] :
% 218.31/218.64 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 218.31/218.64 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 218.31/218.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 218.31/218.64 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 218.31/218.64 ! [V_m_2,V_na_2] :
% 218.31/218.64 ( hAPP(c_Code__Numeral_Oof__nat,V_na_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 218.31/218.64 <=> V_na_2 = V_m_2 ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 218.31/218.64 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_times__code__numeral__code,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_beyond__zero,axiom,
% 218.31/218.64 ! [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) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_zero__code__numeral__def,axiom,
% 218.31/218.64 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_one__code__numeral__def,axiom,
% 218.31/218.64 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__code__numeral__code,axiom,
% 218.31/218.64 ! [V_m_2,V_na_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_na_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_plus__code__numeral__code,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__eq__code__numeral__code,axiom,
% 218.31/218.64 ! [V_m_2,V_na_2] :
% 218.31/218.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_na_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 218.31/218.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_subtract__code__numeral__code,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Random__Sequence_Oempty__def,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Random__Sequence_Osingle__def,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral__decr,axiom,
% 218.31/218.64 ! [V_k] :
% 218.31/218.64 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 218.31/218.64 => 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))) ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_pos__not__random__dseq__def,axiom,
% 218.31/218.64 ! [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)) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_mod__code__numeral__def,axiom,
% 218.31/218.64 ! [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))) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_code__numeral_Onat__of__inject,axiom,
% 218.31/218.64 ! [V_y_2,V_x_2] :
% 218.31/218.64 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 218.31/218.64 <=> V_x_2 = V_y_2 ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 218.31/218.64 ! [V_l_2,V_k_2] :
% 218.31/218.64 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 218.31/218.64 <=> V_k_2 = V_l_2 ) ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__of__inverse,axiom,
% 218.31/218.64 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 218.31/218.64
% 218.31/218.64 fof(fact_of__nat__nat__of,axiom,
% 218.31/218.64 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 218.31/218.64
% 218.31/218.64 fof(fact_nat__of__of__nat,axiom,
% 218.31/218.64 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 218.31/218.64
% 218.31/218.64 fof(fact_less__code__numeral__def,axiom,
% 218.31/218.64 ! [V_m_2,V_na_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_na_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_nat__of__number,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_less__eq__code__numeral__def,axiom,
% 218.31/218.65 ! [V_m_2,V_na_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_na_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_nat__of__code,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_nat__of__aux__def,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Suc__code__numeral__def,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_minus__code__numeral__def,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_plus__code__numeral__def,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_div__code__numeral__def,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_times__code__numeral__def,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 218.31/218.65 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 218.31/218.65 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 218.31/218.65 => 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) )
% 218.31/218.65 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 218.31/218.65 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 218.31/218.65 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 218.31/218.65 => 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) )
% 218.31/218.65 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_curry__def,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_c_2),V_x_2),V_y_2) = hAPP(V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_power__dvd__imp__le,axiom,
% 218.31/218.65 ! [V_n,V_m,V_i] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__mult__cancel1,axiom,
% 218.31/218.65 ! [V_na_2,V_m_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)),V_m_2))
% 218.31/218.65 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_curryI,axiom,
% 218.31/218.65 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 218.31/218.65 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oorder__refl,axiom,
% 218.31/218.65 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__0__right,axiom,
% 218.31/218.65 ! [V_a,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__1__left,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__if__abs__eq,axiom,
% 218.31/218.65 ! [V_k,V_l,T_a] :
% 218.31/218.65 ( class_Rings_Olinordered__idom(T_a)
% 218.31/218.65 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k)
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_abs__dvd__iff,axiom,
% 218.31/218.65 ! [V_k_2,V_m_2,T_b] :
% 218.31/218.65 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__abs__iff,axiom,
% 218.31/218.65 ! [V_k_2,V_m_2,T_b] :
% 218.31/218.65 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__add,axiom,
% 218.31/218.65 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__diff,axiom,
% 218.31/218.65 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__ring__1(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 218.31/218.65 => 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))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_one__dvd,axiom,
% 218.31/218.65 ! [V_a,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__0__left,axiom,
% 218.31/218.65 ! [V_a,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 218.31/218.65 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__refl,axiom,
% 218.31/218.65 ! [V_a,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__trans,axiom,
% 218.31/218.65 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oeq__iff,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2] :
% 218.31/218.65 ( V_x_2 = V_y_2
% 218.31/218.65 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 218.31/218.65 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Ole__less,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 218.31/218.65 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 218.31/218.65 | V_x_2 = V_y_2 ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oless__le,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 218.31/218.65 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 218.31/218.65 & V_x_2 != V_y_2 ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oneq__le__trans,axiom,
% 218.31/218.65 ! [V_b,V_a] :
% 218.31/218.65 ( V_a != V_b
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oeq__refl,axiom,
% 218.31/218.65 ! [V_y,V_x] :
% 218.31/218.65 ( V_x = V_y
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oantisym__conv,axiom,
% 218.31/218.65 ! [V_x_2,V_y_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 218.31/218.65 <=> V_x_2 = V_y_2 ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 218.31/218.65 ! [V_y,V_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 218.31/218.65 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 218.31/218.65 | V_x = V_y ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Ole__neq__trans,axiom,
% 218.31/218.65 ! [V_b,V_a] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 218.31/218.65 => ( V_a != V_b
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 218.31/218.65 ! [V_c,V_b,V_a] :
% 218.31/218.65 ( V_a = V_b
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 218.31/218.65 ! [V_c,V_b,V_a] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 218.31/218.65 => ( V_b = V_c
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__antisym,axiom,
% 218.31/218.65 ! [V_n,V_m] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m))
% 218.31/218.65 => V_m = V_n ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oantisym,axiom,
% 218.31/218.65 ! [V_y,V_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 218.31/218.65 => V_x = V_y ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oorder__trans,axiom,
% 218.31/218.65 ! [V_z,V_y,V_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 218.31/218.65 ! [V_c,V_b,V_a] :
% 218.31/218.65 ( V_a = V_b
% 218.31/218.65 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) )
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Ole__less__trans,axiom,
% 218.31/218.65 ! [V_z,V_y,V_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 218.31/218.65 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oless__imp__neq,axiom,
% 218.31/218.65 ! [V_y,V_x] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 218.31/218.65 => V_x != V_y ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oless__not__sym,axiom,
% 218.31/218.65 ! [V_y,V_x] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 218.31/218.65 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oless__imp__le,axiom,
% 218.31/218.65 ! [V_y,V_x] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oless__imp__not__less,axiom,
% 218.31/218.65 ! [V_y,V_x] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 218.31/218.65 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 218.31/218.65 ! [V_y,V_x] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 218.31/218.65 => V_x != V_y ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 218.31/218.65 ! [V_y,V_x] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 218.31/218.65 => V_y != V_x ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 218.31/218.65 ! [V_c,V_b,V_a] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 218.31/218.65 => ( V_b = V_c
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oless__le__trans,axiom,
% 218.31/218.65 ! [V_z,V_y,V_x] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oless__asym_H,axiom,
% 218.31/218.65 ! [V_b,V_a] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 218.31/218.65 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oless__trans,axiom,
% 218.31/218.65 ! [V_z,V_y,V_x] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 218.31/218.65 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Oless__asym,axiom,
% 218.31/218.65 ! [V_y,V_x] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 218.31/218.65 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_div__dvd__div,axiom,
% 218.31/218.65 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_c_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_c_2),V_a_2)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_c_2)) ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__power__same,axiom,
% 218.31/218.65 ! [V_n,V_y,V_x,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__mod__imp__dvd,axiom,
% 218.31/218.65 ! [V_n,V_m,V_k,T_a] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n)))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__mod,axiom,
% 218.31/218.65 ! [V_n,V_m,V_k,T_a] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_mod__mod__cancel,axiom,
% 218.31/218.65 ! [V_a,V_b,V_c,T_a] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 218.31/218.65 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,V_a,V_c) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__mod__iff,axiom,
% 218.31/218.65 ! [V_m_2,V_na_2,V_k_2,T_b] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_na_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),c_Divides_Odiv__class_Omod(T_b,V_m_2,V_na_2)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_minus__dvd__iff,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Rings_Ocomm__ring__1(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__minus__iff,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Rings_Ocomm__ring__1(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__triv__left,axiom,
% 218.31/218.65 ! [V_b,V_a,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__triv__right,axiom,
% 218.31/218.65 ! [V_b,V_a,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__mult2,axiom,
% 218.31/218.65 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 218.31/218.65 => 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__mult,axiom,
% 218.31/218.65 ! [V_b,V_c,V_a,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 218.31/218.65 => 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_mult__dvd__mono,axiom,
% 218.31/218.65 ! [V_d,V_c,V_b,V_a,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 218.31/218.65 => 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))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvdI,axiom,
% 218.31/218.65 ! [V_k,V_b,V_a,T_a] :
% 218.31/218.65 ( class_Rings_Odvd(T_a)
% 218.31/218.65 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__mult__left,axiom,
% 218.31/218.65 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => ( 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))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__mult__right,axiom,
% 218.31/218.65 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => ( 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))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__reduce,axiom,
% 218.31/218.65 ! [V_na_2,V_k_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_na_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__diff__nat,axiom,
% 218.31/218.65 ! [V_n,V_m,V_k] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 218.31/218.65 => 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_nat__dvd__1__iff__1,axiom,
% 218.31/218.65 ! [V_m_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 218.31/218.65 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__mult__cancel__left,axiom,
% 218.31/218.65 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 218.31/218.65 ( class_Rings_Oidom(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 218.31/218.65 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.65 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__mult__cancel__right,axiom,
% 218.31/218.65 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Rings_Oidom(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)))
% 218.31/218.65 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.65 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__imp__mod__0,axiom,
% 218.31/218.65 ! [V_b,V_a,T_a] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 218.31/218.65 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__eq__mod__eq__0,axiom,
% 218.31/218.65 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 218.31/218.65 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_div__add,axiom,
% 218.31/218.65 ! [V_y,V_x,V_z,T_a] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y))
% 218.31/218.65 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_z)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_y),V_z)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__mult__div__cancel,axiom,
% 218.31/218.65 ! [V_b,V_a,T_a] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 218.31/218.65 => 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 ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_div__mult__swap,axiom,
% 218.31/218.65 ! [V_a,V_b,V_c,T_a] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__div__mult__self,axiom,
% 218.31/218.65 ! [V_b,V_a,T_a] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 218.31/218.65 => 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 ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__div__mult,axiom,
% 218.31/218.65 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_div__mult__div__if__dvd,axiom,
% 218.31/218.65 ! [V_w,V_z,V_x,V_y,T_a] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 218.31/218.65 => 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)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__div__neg,axiom,
% 218.31/218.65 ! [V_x,V_y,T_a] :
% 218.31/218.65 ( class_Divides_Oring__div(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__neg__div,axiom,
% 218.31/218.65 ! [V_x,V_y,T_a] :
% 218.31/218.65 ( class_Divides_Oring__div(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_le__imp__power__dvd,axiom,
% 218.31/218.65 ! [V_a,V_n,V_m,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__power__le,axiom,
% 218.31/218.65 ! [V_m,V_n,V_y,V_x,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_m))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_power__le__dvd,axiom,
% 218.31/218.65 ! [V_m,V_b,V_n,V_a,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_b))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_b)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_div__power,axiom,
% 218.31/218.65 ! [V_n,V_x,V_y,T_a] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 218.31/218.65 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__1__iff__1,axiom,
% 218.31/218.65 ! [V_m_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 218.31/218.65 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_nat__dvd__not__less,axiom,
% 218.31/218.65 ! [V_n,V_m] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 218.31/218.65 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 218.31/218.65 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.65 ( 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_na_2)))
% 218.31/218.65 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.65 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__diffD1,axiom,
% 218.31/218.65 ! [V_n,V_m,V_k] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__diffD,axiom,
% 218.31/218.65 ! [V_n,V_m,V_k] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_curryE,axiom,
% 218.31/218.65 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 218.31/218.65 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_curryD,axiom,
% 218.31/218.65 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 218.31/218.65 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_unity__coeff__ex,axiom,
% 218.31/218.65 ! [V_l_2,V_P_2,T_b] :
% 218.31/218.65 ( ( class_Rings_Odvd(T_b)
% 218.31/218.65 & class_Rings_Osemiring__0(T_b) )
% 218.31/218.65 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x)))
% 218.31/218.65 <=> ? [B_x] :
% 218.31/218.65 ( 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))))
% 218.31/218.65 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_curry__conv,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_inf__period_I4_J,axiom,
% 218.31/218.65 ! [V_ta_2,V_D_2,V_d_2,T_b] :
% 218.31/218.65 ( ( class_Rings_Ocomm__ring(T_b)
% 218.31/218.65 & class_Rings_Odvd(T_b) )
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 218.31/218.65 => ! [B_x,B_k] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_ta_2)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_ta_2))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_inf__period_I3_J,axiom,
% 218.31/218.65 ! [V_ta_2,V_D_2,V_d_2,T_b] :
% 218.31/218.65 ( ( class_Rings_Ocomm__ring(T_b)
% 218.31/218.65 & class_Rings_Odvd(T_b) )
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 218.31/218.65 => ! [B_x,B_k] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_ta_2)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_ta_2))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__eq__mod__eq__0__number__of,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( ( class_Divides_Osemiring__div(T_b)
% 218.31/218.65 & class_Int_Onumber(T_b) )
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 218.31/218.65 <=> c_Divides_Odiv__class_Omod(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__div__div__eq__mult,axiom,
% 218.31/218.65 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_b)
% 218.31/218.65 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.65 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2))
% 218.31/218.65 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_d_2),V_c_2)
% 218.31/218.65 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2) ) ) ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__div__eq__mult,axiom,
% 218.31/218.65 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Divides_Osemiring__div(T_b)
% 218.31/218.65 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 218.31/218.65 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2
% 218.31/218.65 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_curry__split,axiom,
% 218.31/218.65 ! [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 ).
% 218.31/218.65
% 218.31/218.65 fof(fact_split__curry,axiom,
% 218.31/218.65 ! [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 ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__imp__le,axiom,
% 218.31/218.65 ! [V_n,V_k] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_nat__mult__dvd__cancel1,axiom,
% 218.31/218.65 ! [V_na_2,V_m_2,V_k_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 218.31/218.65 => ( 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_na_2)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__mult__cancel,axiom,
% 218.31/218.65 ! [V_n,V_m,V_k] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__power,axiom,
% 218.31/218.65 ! [V_x,V_n,T_a] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 218.31/218.65 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 218.31/218.65 | V_x = c_Groups_Oone__class_Oone(T_a) )
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__mult__cancel2,axiom,
% 218.31/218.65 ! [V_na_2,V_m_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_m_2)),V_m_2))
% 218.31/218.65 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 218.31/218.65 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__zdiffD,axiom,
% 218.31/218.65 ! [V_n,V_m,V_k] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),V_n)))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_n))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_m)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_uminus__dvd__conv_I1_J,axiom,
% 218.31/218.65 ! [V_ta_2,V_d_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_ta_2))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d_2)),V_ta_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_uminus__dvd__conv_I2_J,axiom,
% 218.31/218.65 ! [V_ta_2,V_d_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_ta_2))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_ta_2))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__zmod__imp__zdvd,axiom,
% 218.31/218.65 ! [V_n,V_m,V_k] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n)))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_n))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_m)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__zmod,axiom,
% 218.31/218.65 ! [V_n,V_m,V_f] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_f),V_m))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_f),V_n))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_f),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__antisym__abs,axiom,
% 218.31/218.65 ! [V_b,V_a] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a),V_b))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_b),V_a))
% 218.31/218.65 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_a) = hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_b) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__antisym__nonneg,axiom,
% 218.31/218.65 ! [V_n,V_m] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m),V_n))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m))
% 218.31/218.65 => V_m = V_n ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__not__zless,axiom,
% 218.31/218.65 ! [V_n,V_m] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_m),V_n))
% 218.31/218.65 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__mono,axiom,
% 218.31/218.65 ! [V_ta_2,V_m_2,V_k_2] :
% 218.31/218.65 ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m_2),V_ta_2))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_ta_2))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__mult__cancel,axiom,
% 218.31/218.65 ! [V_n,V_m,V_k] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_n)))
% 218.31/218.65 => ( V_k != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m),V_n)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__reduce,axiom,
% 218.31/218.65 ! [V_m_2,V_na_2,V_k_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_na_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_m_2))))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k_2),V_na_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__period,axiom,
% 218.31/218.65 ! [V_c_2,V_ta_2,V_x_2,V_d_2,V_a_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a_2),V_d_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),V_ta_2)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_c_2),V_d_2))),V_ta_2))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__int,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__int__nat__relations_I4_J,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__mult__div__cancel,axiom,
% 218.31/218.65 ! [V_m,V_n] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m))
% 218.31/218.65 => 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)) = V_m ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zmod__eq__dvd__iff,axiom,
% 218.31/218.65 ! [V_y_2,V_na_2,V_x_2] :
% 218.31/218.65 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x_2,V_na_2) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_y_2,V_na_2)
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_na_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x_2),V_y_2))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd1__eq,axiom,
% 218.31/218.65 ! [V_x_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_x_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 218.31/218.65 <=> hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_abs__div,axiom,
% 218.31/218.65 ! [V_x,V_y] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_y),V_x))
% 218.31/218.65 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__imp__le,axiom,
% 218.31/218.65 ! [V_n,V_z] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z),V_n))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_n)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__iff__zmod__eq__0__number__of,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_y_2)))
% 218.31/218.65 <=> c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_x_2)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__imp__le__int,axiom,
% 218.31/218.65 ! [V_d,V_i] :
% 218.31/218.65 ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d),V_i))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_d)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__nat__int__relations_I4_J,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_zdvd__mult__cancel1,axiom,
% 218.31/218.65 ! [V_na_2,V_m_2] :
% 218.31/218.65 ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2)),V_m_2))
% 218.31/218.65 <=> hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_int__dvd__iff,axiom,
% 218.31/218.65 ! [V_z_2,V_m_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2)))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd__int__iff,axiom,
% 218.31/218.65 ! [V_m_2,V_z_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2))),V_m_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_nat__dvd__iff,axiom,
% 218.31/218.65 ! [V_m_2,V_z_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),V_m_2))
% 218.31/218.65 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) )
% 218.31/218.65 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 218.31/218.65 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_pos__empty__def,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_neg__bind__def,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_pos__bind__def,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Ostrict__monoD,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,V_f_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,T_b,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_f_2)
% 218.31/218.65 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_OmonoD,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,V_f_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 218.31/218.65 => 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))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Ostrict__mono__mono,axiom,
% 218.31/218.65 ! [V_f_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,T_b,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_f_2)
% 218.31/218.65 => c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_Ostrict__monoI,axiom,
% 218.31/218.65 ! [V_f_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( ! [B_x,B_y] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_x),B_y))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_y),B_x)) )
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),hAPP(V_f_2,B_y))) )
% 218.31/218.65 => c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,T_b,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_f_2) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_OmonoI,axiom,
% 218.31/218.65 ! [V_f_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( ! [B_x,B_y] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_x),B_y))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_f_2,B_y))) )
% 218.31/218.65 => c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_arith__series__int,axiom,
% 218.31/218.65 ! [V_na_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_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_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_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_nat__mod__eq__iff,axiom,
% 218.31/218.65 ! [V_y_2,V_na_2,V_x_2] :
% 218.31/218.65 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x_2,V_na_2) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y_2,V_na_2)
% 218.31/218.65 <=> ? [B_q1,B_q2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),B_q1)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),B_q2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_mod__eqD,axiom,
% 218.31/218.65 ! [V_r,V_d,V_m] :
% 218.31/218.65 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_d) = V_r
% 218.31/218.65 => ? [B_q] : V_m = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B_q),V_d)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__abs,axiom,
% 218.31/218.65 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__abs__ge__zero,axiom,
% 218.31/218.65 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__commute,axiom,
% 218.31/218.65 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_lessThan__eq__iff,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 218.31/218.65 <=> V_x_2 = V_y_2 ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_of__int__setsum,axiom,
% 218.31/218.65 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( class_Rings_Oring__1(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__lessThan__Suc,axiom,
% 218.31/218.65 ! [V_na_2,V_f_2,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => 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_na_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_na_2))),hAPP(V_f_2,V_na_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_of__nat__setsum,axiom,
% 218.31/218.65 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( class_Rings_Osemiring__1(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__0,axiom,
% 218.31/218.65 ! [V_A_2,T_c,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__addf,axiom,
% 218.31/218.65 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__right__distrib,axiom,
% 218.31/218.65 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 218.31/218.65 ( class_Rings_Osemiring__0(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__left__distrib,axiom,
% 218.31/218.65 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( class_Rings_Osemiring__0(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__product,axiom,
% 218.31/218.65 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( class_Rings_Osemiring__0(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__subtractf,axiom,
% 218.31/218.65 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( class_Groups_Oab__group__add(T_b)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__negf,axiom,
% 218.31/218.65 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( class_Groups_Oab__group__add(T_b)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__divide__distrib,axiom,
% 218.31/218.65 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( class_Fields_Ofield(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_abs__setsum__abs,axiom,
% 218.31/218.65 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_lessThan__subset__iff,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( 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)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_lessThan__strict__subset__iff,axiom,
% 218.31/218.65 ! [V_na_2,V_m_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( 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_na_2)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_na_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_arith__series__general,axiom,
% 218.31/218.65 ! [V_na_2,V_d_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_b)
% 218.31/218.65 => 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_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_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_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_arith__series__nat,axiom,
% 218.31/218.65 ! [V_na_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_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_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_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_d_2)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__natinterval__difff,axiom,
% 218.31/218.65 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 218.31/218.65 ( class_Groups_Oab__group__add(T_b)
% 218.31/218.65 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.65 => 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_na_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_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 218.31/218.65 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.65 => 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_na_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_gauss__sum,axiom,
% 218.31/218.65 ! [V_na_2,T_b] :
% 218.31/218.65 ( class_Rings_Ocomm__semiring__1(T_b)
% 218.31/218.65 => 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_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Groups_Oone__class_Oone(T_b))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_geometric__sum,axiom,
% 218.31/218.65 ! [V_na_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Fields_Ofield(T_b)
% 218.31/218.65 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 218.31/218.65 => 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_na_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_na_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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__ub__add__nat,axiom,
% 218.31/218.65 ! [V_p_2,V_f_2,V_na_2,V_m_2,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => ( 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_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 218.31/218.65 => 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_na_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_na_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_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_p_2)))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 218.31/218.65 ! [V_k_2,V_f_2] :
% 218.31/218.65 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastLessThan__eq__iff,axiom,
% 218.31/218.65 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 218.31/218.65 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 218.31/218.65 <=> ( V_a_2 = V_c_2
% 218.31/218.65 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 218.31/218.65 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 218.31/218.65 => V_a_2 = V_c_2 ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 218.31/218.65 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 218.31/218.65 => V_b_2 = V_d_2 ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeast0LessThan,axiom,
% 218.31/218.65 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastatMost__subset__iff,axiom,
% 218.31/218.65 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 218.31/218.65 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 218.31/218.65 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 218.31/218.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastLessThan__subset__iff,axiom,
% 218.31/218.65 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 218.31/218.65 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 218.31/218.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 218.31/218.65 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => 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_na_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_na_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 218.31/218.65 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => 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_na_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_na_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__diff,axiom,
% 218.31/218.65 ! [V_m_2,V_na_2,V_i_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_na_2))
% 218.31/218.65 => 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_na_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_na_2),V_m_2) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 218.31/218.65 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => 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_na_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_na_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 218.31/218.65 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => 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_na_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_na_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_int__setsum,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__add__nat__ivl,axiom,
% 218.31/218.65 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 218.31/218.65 => 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_na_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_na_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)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__diff__nat__ivl,axiom,
% 218.31/218.65 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 218.31/218.65 ( class_Groups_Oab__group__add(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 218.31/218.65 => 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_na_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_na_2),V_p_2)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastatMost__psubset__iff,axiom,
% 218.31/218.65 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 218.31/218.65 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 218.31/218.65 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 218.31/218.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 218.31/218.65 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 218.31/218.65 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 218.31/218.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 218.31/218.65 ! [V_k_2,V_f_2,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__head__upt__Suc,axiom,
% 218.31/218.65 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.65 => 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_na_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_na_2))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__head__Suc,axiom,
% 218.31/218.65 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.65 => 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_na_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_na_2))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__op__ivl__Suc,axiom,
% 218.31/218.65 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 218.31/218.65 => 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_na_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 218.31/218.65 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 218.31/218.65 => 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_na_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_na_2))),hAPP(V_f_2,V_na_2)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__cl__ivl__Suc,axiom,
% 218.31/218.65 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 218.31/218.65 => 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_na_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 218.31/218.65 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 218.31/218.65 => 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_na_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_na_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_all__nat__less,axiom,
% 218.31/218.65 ! [V_P_2,V_na_2] :
% 218.31/218.65 ( ! [B_m] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 218.31/218.65 => hBOOL(hAPP(V_P_2,B_m)) )
% 218.31/218.65 <=> ! [B_x] :
% 218.31/218.65 ( 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_na_2)))
% 218.31/218.65 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ex__nat__less,axiom,
% 218.31/218.65 ! [V_P_2,V_na_2] :
% 218.31/218.65 ( ? [B_m] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 218.31/218.65 & hBOOL(hAPP(V_P_2,B_m)) )
% 218.31/218.65 <=> ? [B_x] :
% 218.31/218.65 ( 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_na_2)))
% 218.31/218.65 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ex__nat__less__eq,axiom,
% 218.31/218.65 ! [V_P_2,V_na_2] :
% 218.31/218.65 ( ? [B_m] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 218.31/218.65 & hBOOL(hAPP(V_P_2,B_m)) )
% 218.31/218.65 <=> ? [B_x] :
% 218.31/218.65 ( 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_na_2)))
% 218.31/218.65 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_all__nat__less__eq,axiom,
% 218.31/218.65 ! [V_P_2,V_na_2] :
% 218.31/218.65 ( ! [B_m] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 218.31/218.65 => hBOOL(hAPP(V_P_2,B_m)) )
% 218.31/218.65 <=> ! [B_x] :
% 218.31/218.65 ( 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_na_2)))
% 218.31/218.65 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sum__diff__distrib,axiom,
% 218.31/218.65 ! [V_na_2,V_P_2,V_Q_2] :
% 218.31/218.65 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Q_2,B_x)),hAPP(V_P_2,B_x)))
% 218.31/218.65 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_P_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Q_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_P_2)),V_Q_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_bset_I6_J,axiom,
% 218.31/218.65 ! [V_ta_2,V_B_2,V_D_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 218.31/218.65 => ! [B_x] :
% 218.31/218.65 ( ! [B_xa] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => ! [B_xb] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 218.31/218.65 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_ta_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_ta_2)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_aset_I8_J,axiom,
% 218.31/218.65 ! [V_ta_2,V_A_2,V_D_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 218.31/218.65 => ! [B_x] :
% 218.31/218.65 ( ! [B_xa] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => ! [B_xb] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 218.31/218.65 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ta_2),B_x))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ta_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_periodic__finite__ex,axiom,
% 218.31/218.65 ! [V_P_2,V_d_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 218.31/218.65 => ( ! [B_x,B_k] :
% 218.31/218.65 ( hBOOL(hAPP(V_P_2,B_x))
% 218.31/218.65 <=> hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) )
% 218.31/218.65 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 218.31/218.65 <=> ? [B_x] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_aset_I7_J,axiom,
% 218.31/218.65 ! [V_ta_2,V_A_2,V_D_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 218.31/218.65 => ! [B_x] :
% 218.31/218.65 ( ! [B_xa] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => ! [B_xb] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 218.31/218.65 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ta_2),B_x))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ta_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_bset_I5_J,axiom,
% 218.31/218.65 ! [V_ta_2,V_B_2,V_D_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 218.31/218.65 => ! [B_x] :
% 218.31/218.65 ( ! [B_xa] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => ! [B_xb] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 218.31/218.65 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_ta_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_ta_2)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_bset_I9_J,axiom,
% 218.31/218.65 ! [V_ta_2,V_B_2,V_D_2,V_d_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2))
% 218.31/218.65 => ! [B_x] :
% 218.31/218.65 ( ! [B_xa] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => ! [B_xb] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 218.31/218.65 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_ta_2)))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_ta_2))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_aset_I9_J,axiom,
% 218.31/218.65 ! [V_ta_2,V_A_2,V_D_2,V_d_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2))
% 218.31/218.65 => ! [B_x] :
% 218.31/218.65 ( ! [B_xa] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => ! [B_xb] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 218.31/218.65 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_ta_2)))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_ta_2))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_bset_I10_J,axiom,
% 218.31/218.65 ! [V_ta_2,V_B_2,V_D_2,V_d_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2))
% 218.31/218.65 => ! [B_x] :
% 218.31/218.65 ( ! [B_xa] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => ! [B_xb] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 218.31/218.65 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 218.31/218.65 => ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_ta_2)))
% 218.31/218.65 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_ta_2))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_aset_I10_J,axiom,
% 218.31/218.65 ! [V_ta_2,V_A_2,V_D_2,V_d_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2))
% 218.31/218.65 => ! [B_x] :
% 218.31/218.65 ( ! [B_xa] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => ! [B_xb] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 218.31/218.65 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 218.31/218.65 => ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_ta_2)))
% 218.31/218.65 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_ta_2))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 218.31/218.65 ! [V_u_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__image,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__mono,axiom,
% 218.31/218.65 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_subset__image__iff,axiom,
% 218.31/218.65 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 <=> ? [B_AA] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 218.31/218.65 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 <=> 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2] :
% 218.31/218.65 ( V_A_2 = V_B_2
% 218.31/218.65 <=> 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 <=> 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__diff__subset,axiom,
% 218.31/218.65 ! [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)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__uminus__atLeastAtMost,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 218.31/218.65 ! [V_A_2,V_f_2,T_b] :
% 218.31/218.65 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 & class_Groups_Ocomm__monoid__mult(T_b) )
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 218.31/218.65 ! [V_na_2,V_m_2] :
% 218.31/218.65 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 218.31/218.65 => ( c_Nat__Transfer_Ois__nat(V_na_2)
% 218.31/218.65 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_na_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_na_2))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__head,axiom,
% 218.31/218.65 ! [V_P_2,V_na_2,V_m_2,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_P_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_P_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_P_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_na_2))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__SucD,axiom,
% 218.31/218.65 ! [V_na_2,V_A_2,V_f_2,T_b] :
% 218.31/218.65 ( 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_na_2)
% 218.31/218.65 => ? [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.65 & 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__ivl__cong,axiom,
% 218.31/218.65 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 218.31/218.65 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.65 & class_Orderings_Oord(T_b) )
% 218.31/218.65 => ( V_a_2 = V_c_2
% 218.31/218.65 => ( V_b_2 = V_d_2
% 218.31/218.65 => ( ! [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 218.31/218.65 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 218.31/218.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__atLeastAtMost__int,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__uminus__greaterThan,axiom,
% 218.31/218.65 ! [V_x_2,T_b] :
% 218.31/218.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_greaterThan__eq__iff,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 218.31/218.65 <=> V_x_2 = V_y_2 ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__Suc__atLeastLessThan,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__Suc__atLeastAtMost,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__add__atLeastLessThan,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__add__atLeastAtMost,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__eq__setsum,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 218.31/218.65 ! [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 ).
% 218.31/218.65
% 218.31/218.65 fof(fact_greaterThan__subset__iff,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( 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)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__constant,axiom,
% 218.31/218.65 ! [V_A_2,V_y_2,T_c,T_b] :
% 218.31/218.65 ( class_Rings_Osemiring__1(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__atLeastLessThan__int,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 218.31/218.65 ! [V_na_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_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_na_2))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__uminus__atLeastLessThan,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__add__int__atLeastLessThan,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__uminus__lessThan,axiom,
% 218.31/218.65 ! [V_x_2,T_b] :
% 218.31/218.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__greaterThanLessThan__int,axiom,
% 218.31/218.65 ! [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)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 218.31/218.65 ! [V_f_2,V_A_2,T_b] :
% 218.31/218.65 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 & class_Groups_Ocomm__monoid__mult(T_b) )
% 218.31/218.65 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2] :
% 218.31/218.65 ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.65 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 <=> 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))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2] :
% 218.31/218.65 ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.65 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 <=> 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))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 218.31/218.65 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_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_na_2))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__atMost,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atMost__eq__iff,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 218.31/218.65 <=> V_x_2 = V_y_2 ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__lessThan,axiom,
% 218.31/218.65 ! [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 ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 218.31/218.65 ! [V_A_2] :
% 218.31/218.65 ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2] :
% 218.31/218.65 ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.65 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 218.31/218.65 => ( V_A_2 = V_B_2
% 218.31/218.65 <=> 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) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__atLeastLessThan,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__greaterThanAtMost,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_nat__set__def,axiom,
% 218.31/218.65 ! [V_S_2] :
% 218.31/218.65 ( c_Nat__Transfer_Onat__set(V_S_2)
% 218.31/218.65 <=> ! [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeast0AtMost,axiom,
% 218.31/218.65 ! [V_na_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_lessThan__Suc__atMost,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atMost__subset__iff,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( 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)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2] :
% 218.31/218.65 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 218.31/218.65 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__atLeastAtMost,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Compl__greaterThan,axiom,
% 218.31/218.65 ! [V_k_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Compl__atMost,axiom,
% 218.31/218.65 ! [V_k_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_subset__card__intvl__is__intvl,axiom,
% 218.31/218.65 ! [V_k_2,V_A_2] :
% 218.31/218.65 ( 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)))))
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 218.31/218.65 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 218.31/218.65 ! [V_A_2] :
% 218.31/218.65 ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.65 => 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 ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__atMost__Suc,axiom,
% 218.31/218.65 ! [V_na_2,V_f_2,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => 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_na_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_na_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__greaterThanAtMost__int,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 218.31/218.65 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 218.31/218.65 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 & class_Groups_Ocomm__monoid__mult(T_b) )
% 218.31/218.65 => ( V_A_2 = V_B_2
% 218.31/218.65 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 218.31/218.65 => ( ! [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 218.31/218.65 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 218.31/218.65 => 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) ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I19_J,axiom,
% 218.31/218.65 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 218.31/218.65 => 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) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I18_J,axiom,
% 218.31/218.65 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 218.31/218.65 => 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) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 218.31/218.65 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2)))
% 218.31/218.65 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 218.31/218.65 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 218.31/218.65 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 218.31/218.65 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) )
% 218.31/218.65 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) )
% 218.31/218.65 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_upto_Opinduct,axiom,
% 218.31/218.65 ! [V_P_2,V_a1_2,V_a0_2] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => ( ! [B_i,B_j] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 218.31/218.65 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) )
% 218.31/218.65 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) )
% 218.31/218.65 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup1E,axiom,
% 218.31/218.65 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 218.31/218.65 ( 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))
% 218.31/218.65 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 218.31/218.65 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup1CI,axiom,
% 218.31/218.65 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 218.31/218.65 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 218.31/218.65 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__Un,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__Diff__cancel,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__Diff__cancel2,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__Diff,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__max,axiom,
% 218.31/218.65 ! [T_b] :
% 218.31/218.65 ( ( class_Lattices_Osemilattice__sup(T_b)
% 218.31/218.65 & class_Orderings_Olinorder(T_b) )
% 218.31/218.65 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__fun__def,axiom,
% 218.31/218.65 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( class_Lattices_Olattice(T_b)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__absorb,axiom,
% 218.31/218.65 ! [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 ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__commute,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__left__absorb,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__left__commute,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__assoc,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_bex__Un,axiom,
% 218.31/218.65 ! [V_P_2,V_B_2,V_A_2,T_b] :
% 218.31/218.65 ( ? [B_x] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 & hBOOL(hAPP(V_P_2,B_x)) )
% 218.31/218.65 <=> ( ? [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.65 & hBOOL(hAPP(V_P_2,B_x)) )
% 218.31/218.65 | ? [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 218.31/218.65 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ball__Un,axiom,
% 218.31/218.65 ! [V_P_2,V_B_2,V_A_2,T_b] :
% 218.31/218.65 ( ! [B_x] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => hBOOL(hAPP(V_P_2,B_x)) )
% 218.31/218.65 <=> ( ! [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.65 => hBOOL(hAPP(V_P_2,B_x)) )
% 218.31/218.65 & ! [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 218.31/218.65 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup_Oidem,axiom,
% 218.31/218.65 ! [V_a,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__idem,axiom,
% 218.31/218.65 ! [V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup_Ocommute,axiom,
% 218.31/218.65 ! [V_b,V_a,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_inf__sup__aci_I5_J,axiom,
% 218.31/218.65 ! [V_y,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Olattice(T_a)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__commute,axiom,
% 218.31/218.65 ! [V_y,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup_Oleft__idem,axiom,
% 218.31/218.65 ! [V_b,V_a,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_inf__sup__aci_I8_J,axiom,
% 218.31/218.65 ! [V_y,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Olattice(T_a)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__left__idem,axiom,
% 218.31/218.65 ! [V_y,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup_Oleft__commute,axiom,
% 218.31/218.65 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_inf__sup__aci_I7_J,axiom,
% 218.31/218.65 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Olattice(T_a)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__left__commute,axiom,
% 218.31/218.65 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup_Oassoc,axiom,
% 218.31/218.65 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_inf__sup__aci_I6_J,axiom,
% 218.31/218.65 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Olattice(T_a)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__assoc,axiom,
% 218.31/218.65 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__apply,axiom,
% 218.31/218.65 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( class_Lattices_Olattice(T_b)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Sup__fin_Oidem,axiom,
% 218.31/218.65 ! [V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Olattice(T_a)
% 218.31/218.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup1I1,axiom,
% 218.31/218.65 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 218.31/218.65 ( hBOOL(hAPP(V_A_2,V_x_2))
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup1I2,axiom,
% 218.31/218.65 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 218.31/218.65 ( hBOOL(hAPP(V_B_2,V_x_2))
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_le__supE,axiom,
% 218.31/218.65 ! [V_x,V_b,V_a,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => ( 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))
% 218.31/218.65 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 218.31/218.65 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__mono,axiom,
% 218.31/218.65 ! [V_d,V_b,V_c,V_a,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 218.31/218.65 => 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))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__least,axiom,
% 218.31/218.65 ! [V_z,V_x,V_y,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 218.31/218.65 => 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)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_le__supI,axiom,
% 218.31/218.65 ! [V_b,V_x,V_a,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 218.31/218.65 => 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)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__absorb1,axiom,
% 218.31/218.65 ! [V_x,V_y,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 218.31/218.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__absorb2,axiom,
% 218.31/218.65 ! [V_y,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_le__supI2,axiom,
% 218.31/218.65 ! [V_a,V_b,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 218.31/218.65 => 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_le__supI1,axiom,
% 218.31/218.65 ! [V_b,V_a,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 218.31/218.65 => 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_le__sup__iff,axiom,
% 218.31/218.65 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_b)
% 218.31/218.65 => ( 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))
% 218.31/218.65 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 218.31/218.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_le__iff__sup,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.31/218.65 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__ge2,axiom,
% 218.31/218.65 ! [V_x,V_y,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_inf__sup__ord_I4_J,axiom,
% 218.31/218.65 ! [V_x,V_y,T_a] :
% 218.31/218.65 ( class_Lattices_Olattice(T_a)
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__ge1,axiom,
% 218.31/218.65 ! [V_y,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_inf__sup__ord_I3_J,axiom,
% 218.31/218.65 ! [V_y,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Olattice(T_a)
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_less__supI2,axiom,
% 218.31/218.65 ! [V_a,V_b,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 218.31/218.65 => 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_less__supI1,axiom,
% 218.31/218.65 ! [V_b,V_a,V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Osemilattice__sup(T_a)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 218.31/218.65 => 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__upper1,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__upper2,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_subset__Un__eq,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__absorb1,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__absorb2,axiom,
% 218.31/218.65 ! [V_A_2,V_B_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__least,axiom,
% 218.31/218.65 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__mono,axiom,
% 218.31/218.65 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 218.31/218.65 => 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2] :
% 218.31/218.65 ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.65 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I17_J,axiom,
% 218.31/218.65 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 218.31/218.65 => 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) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Diff__partition,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 => 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 ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Diff__subset__conv,axiom,
% 218.31/218.65 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 218.31/218.65 ( 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))
% 218.31/218.65 <=> 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I20_J,axiom,
% 218.31/218.65 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 218.31/218.65 => 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) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Compl__Diff__eq,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2] :
% 218.31/218.65 ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.65 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 218.31/218.65 => 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__greaterThanLessThan,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I21_J,axiom,
% 218.31/218.65 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 218.31/218.65 => 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) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastLessThan__add__Un,axiom,
% 218.31/218.65 ! [V_k_2,V_j_2,V_i_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I8_J,axiom,
% 218.31/218.65 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I22_J,axiom,
% 218.31/218.65 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 218.31/218.65 => 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) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I9_J,axiom,
% 218.31/218.65 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I11_J,axiom,
% 218.31/218.65 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I15_J,axiom,
% 218.31/218.65 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 218.31/218.65 => 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) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I16_J,axiom,
% 218.31/218.65 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 218.31/218.65 => 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) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I10_J,axiom,
% 218.31/218.65 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I7_J,axiom,
% 218.31/218.65 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_OatLeastatMost__subset__iff,axiom,
% 218.31/218.65 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2)))
% 218.31/218.65 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 218.31/218.65 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 218.31/218.65 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I12_J,axiom,
% 218.31/218.65 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I13_J,axiom,
% 218.31/218.65 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__le__eq__Un0,axiom,
% 218.31/218.65 ! [V_M_2,V_na_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_na_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_na_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__ident,axiom,
% 218.31/218.65 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__uminus__atMost,axiom,
% 218.31/218.65 ! [V_x_2,T_b] :
% 218.31/218.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_SUP1__iff,axiom,
% 218.31/218.65 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.65 ( 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))
% 218.31/218.65 <=> ? [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.65 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeast__eq__iff,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 218.31/218.65 <=> V_x_2 = V_y_2 ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__nat__def,axiom,
% 218.31/218.65 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeast__Suc__greaterThan,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeast__subset__iff,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( 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)))
% 218.31/218.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Compl__atLeast,axiom,
% 218.31/218.65 ! [V_k_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Compl__lessThan,axiom,
% 218.31/218.65 ! [V_k_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__le__add__shift,axiom,
% 218.31/218.65 ! [V_k_2,V_M_2,V_na_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_na_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_na_2),V_k_2))),V_M_2) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I14_J,axiom,
% 218.31/218.65 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__uminus__atLeast,axiom,
% 218.31/218.65 ! [V_x_2,T_b] :
% 218.31/218.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_SUP__subset,axiom,
% 218.31/218.65 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.65 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 => 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__simps_I6_J,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__extend__simps_I6_J,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_SUPR__apply,axiom,
% 218.31/218.65 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 218.31/218.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ball__UN,axiom,
% 218.31/218.65 ! [V_P_2,V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.65 ( ! [B_x] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => hBOOL(hAPP(V_P_2,B_x)) )
% 218.31/218.65 <=> ! [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 218.31/218.65 => ! [B_xa] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 218.31/218.65 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_SUP__commute,axiom,
% 218.31/218.65 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 218.31/218.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__UN__flatten,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__simps_I9_J,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__extend__simps_I9_J,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_SUP__le__iff,axiom,
% 218.31/218.65 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 218.31/218.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.65 => ( 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))
% 218.31/218.65 <=> ! [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_less__SUP__iff,axiom,
% 218.31/218.65 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 218.31/218.65 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.65 & class_Orderings_Olinorder(T_b) )
% 218.31/218.65 => ( 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)))
% 218.31/218.65 <=> ? [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 218.31/218.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__subset__iff,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 218.31/218.65 ( 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))
% 218.31/218.65 <=> ! [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__extend__simps_I10_J,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__UN,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__simps_I10_J,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__Un__distrib,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__Un,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_greaterThan__0,axiom,
% 218.31/218.65 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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 218.31/218.65 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_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_na_2))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__diff__nat,axiom,
% 218.31/218.65 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__diff,axiom,
% 218.31/218.65 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.65 ( class_Groups_Oab__group__add(T_c)
% 218.31/218.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.65 => 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)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_top1I,axiom,
% 218.31/218.65 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__atLeastLessThan,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__atLeastAtMost__int,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__atLeastAtMost,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__lessThan,axiom,
% 218.31/218.65 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__atMost,axiom,
% 218.31/218.65 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__atLeastLessThan__int,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__greaterThanAtMost,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__greaterThanLessThan__int,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__greaterThanAtMost__int,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__greaterThanLessThan,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__UNIV__left,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__UNIV__right,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__insert__right,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__insert__left,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__nat__set__iff__bounded,axiom,
% 218.31/218.65 ! [V_N_2] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 218.31/218.65 <=> ? [B_m] :
% 218.31/218.65 ! [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_insert__mono,axiom,
% 218.31/218.65 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_subset__insertI2,axiom,
% 218.31/218.65 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_subset__insertI,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_subset__UNIV,axiom,
% 218.31/218.65 ! [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)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_top__apply,axiom,
% 218.31/218.65 ! [V_x_2,T_c,T_b] :
% 218.31/218.65 ( class_Orderings_Otop(T_b)
% 218.31/218.65 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_insert__code,axiom,
% 218.31/218.65 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 218.31/218.65 <=> ( V_y_2 = V_x_2
% 218.31/218.65 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_insert__commute,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_insert__absorb2,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 218.31/218.65 ! [V_N_2] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 218.31/218.65 <=> ? [B_m] :
% 218.31/218.65 ! [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 218.31/218.65 ! [V_A_2] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 218.31/218.65 <=> 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__insert,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_range__composition,axiom,
% 218.31/218.65 ! [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)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_top__greatest,axiom,
% 218.31/218.65 ! [V_x,T_a] :
% 218.31/218.65 ( class_Orderings_Otop(T_a)
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__top__right,axiom,
% 218.31/218.65 ! [V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Obounded__lattice__top(T_a)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__top__left,axiom,
% 218.31/218.65 ! [V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Obounded__lattice__top(T_a)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 218.31/218.65 ! [V_A_2] :
% 218.31/218.65 ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 218.31/218.65 <=> 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__lessThan__UNIV,axiom,
% 218.31/218.65 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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__atMost__UNIV,axiom,
% 218.31/218.65 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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__atLeast__UNIV,axiom,
% 218.31/218.65 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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum_Oinfinite,axiom,
% 218.31/218.65 ! [V_g_2,V_A_2,T_b,T_c] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.65 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__infinite,axiom,
% 218.31/218.65 ! [V_f_2,V_A_2,T_b,T_c] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.65 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Compl__partition2,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Compl__partition,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_lessThan__Suc,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atMost__Suc,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__eq__0__iff,axiom,
% 218.31/218.65 ! [V_f_2,V_F_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 218.31/218.65 => ( 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)
% 218.31/218.65 <=> ! [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 218.31/218.65 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__insert,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum_Odistrib,axiom,
% 218.31/218.65 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeast__0,axiom,
% 218.31/218.65 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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_compl__sup__top,axiom,
% 218.31/218.65 ! [V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Oboolean__algebra(T_a)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__compl__top,axiom,
% 218.31/218.65 ! [V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Oboolean__algebra(T_a)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastAtMostSuc__conv,axiom,
% 218.31/218.65 ! [V_na_2,V_m_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 218.31/218.65 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_surj__Compl__image__subset,axiom,
% 218.31/218.65 ! [V_A_2,V_f_2,T_b,T_c] :
% 218.31/218.65 ( 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))
% 218.31/218.65 => 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)))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__eq__Suc0__iff,axiom,
% 218.31/218.65 ! [V_f_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => ( 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))
% 218.31/218.65 <=> ? [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.65 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 218.31/218.65 & ! [B_xa] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 218.31/218.65 => ( B_x != B_xa
% 218.31/218.65 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__eq__1__iff,axiom,
% 218.31/218.65 ! [V_f_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => ( 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)
% 218.31/218.65 <=> ? [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.65 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 218.31/218.65 & ! [B_xa] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 218.31/218.65 => ( B_x != B_xa
% 218.31/218.65 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__UN__finite__eq,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__psubset,axiom,
% 218.31/218.65 ! [V_A_2,V_B_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 => ( 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)))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_diff__card__le__card__Diff,axiom,
% 218.31/218.65 ! [V_A_2,V_B_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.65 => 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)))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__Diff__subset,axiom,
% 218.31/218.65 ! [V_A_2,V_B_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__Diff,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite_OinsertI,axiom,
% 218.31/218.65 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__imageI,axiom,
% 218.31/218.65 ! [V_h_2,T_c,V_F_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 218.31/218.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__UNIV__unit,axiom,
% 218.31/218.65 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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_infinite__UNIV__int,axiom,
% 218.31/218.65 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__code,axiom,
% 218.31/218.65 ! [V_A_2,T_b] :
% 218.31/218.65 ( class_Finite__Set_Ofinite(T_b)
% 218.31/218.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite,axiom,
% 218.31/218.65 ! [V_A_2,T_b] :
% 218.31/218.65 ( class_Finite__Set_Ofinite(T_b)
% 218.31/218.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_infinite__UNIV__nat,axiom,
% 218.31/218.65 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__UNIV__bool,axiom,
% 218.31/218.65 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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__insert,axiom,
% 218.31/218.65 ! [V_A_2,V_a_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 218.31/218.65 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_rev__finite__subset,axiom,
% 218.31/218.65 ! [V_A_2,V_B_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__subset,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__Prod__UNIV,axiom,
% 218.31/218.65 ! [T_c,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 218.31/218.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 218.31/218.65 => 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)))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__fun__UNIVD2,axiom,
% 218.31/218.65 ! [T_c,T_b] :
% 218.31/218.65 ( 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))))
% 218.31/218.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__Plus__UNIV__iff,axiom,
% 218.31/218.65 ! [T_c,T_b] :
% 218.31/218.65 ( 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))))
% 218.31/218.65 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 218.31/218.65 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__option__UNIV,axiom,
% 218.31/218.65 ! [T_b] :
% 218.31/218.65 ( 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))))
% 218.31/218.65 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__UNIV,axiom,
% 218.31/218.65 ! [T_b] :
% 218.31/218.65 ( class_Finite__Set_Ofinite(T_b)
% 218.31/218.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__Un,axiom,
% 218.31/218.65 ! [V_G_2,V_F_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2)))
% 218.31/218.65 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 218.31/218.65 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__UnI,axiom,
% 218.31/218.65 ! [V_G_2,V_F_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 218.31/218.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2))
% 218.31/218.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__Diff2,axiom,
% 218.31/218.65 ! [V_A_2,V_B_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.65 => ( 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)))
% 218.31/218.65 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__UN,axiom,
% 218.31/218.65 ! [V_B_2,T_c,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => ( 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)))
% 218.31/218.65 <=> ! [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__surj,axiom,
% 218.31/218.65 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => ( 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)))
% 218.31/218.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__Diff__insert,axiom,
% 218.31/218.65 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 218.31/218.65 ( 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))))
% 218.31/218.65 <=> 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__infinite,axiom,
% 218.31/218.65 ! [V_A_2,T_b] :
% 218.31/218.65 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 218.31/218.65 ! [V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 218.31/218.65 => ( 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)))
% 218.31/218.65 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__compl,axiom,
% 218.31/218.65 ! [V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 218.31/218.65 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__range__imageI,axiom,
% 218.31/218.65 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 218.31/218.65 ( 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)))))
% 218.31/218.65 => 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))))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__ge__0__finite,axiom,
% 218.31/218.65 ! [V_A_2,T_b] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__insert__le,axiom,
% 218.31/218.65 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => 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)))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__seteq,axiom,
% 218.31/218.65 ! [V_A_2,V_B_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 => ( 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)))
% 218.31/218.65 => V_A_2 = V_B_2 ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__mono,axiom,
% 218.31/218.65 ! [V_A_2,V_B_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 => 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__image__le,axiom,
% 218.31/218.65 ! [V_f_2,T_c,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_psubset__card__mono,axiom,
% 218.31/218.65 ! [V_A_2,V_B_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 => 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__UNIV__card__ge__0,axiom,
% 218.31/218.65 ! [T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 218.31/218.65 => 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))))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite__fun__UNIVD1,axiom,
% 218.31/218.65 ! [T_c,T_b] :
% 218.31/218.65 ( 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))))
% 218.31/218.65 => ( 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))
% 218.31/218.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__finite2__subset,axiom,
% 218.31/218.65 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 218.31/218.65 ( ! [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)))
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 218.31/218.65 ! [V_x_2,V_y_2,V_c_2] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 218.31/218.65 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_c_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_c_2)) )
% 218.31/218.65 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 218.31/218.65 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 218.31/218.65 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) )
% 218.31/218.65 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 218.31/218.65 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__mono3,axiom,
% 218.31/218.65 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 218.31/218.65 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.65 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 218.31/218.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 => ( ! [B_x] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 218.31/218.65 => 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))) ) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite_OemptyI,axiom,
% 218.31/218.65 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_empty__subsetI,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_finite_Oequations_I1_J,axiom,
% 218.31/218.65 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_singleton__inject,axiom,
% 218.31/218.65 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 => V_a_2 = V_b_2 ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_doubleton__eq__iff,axiom,
% 218.31/218.65 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 218.31/218.65 <=> ( ( V_a_2 = V_c_2
% 218.31/218.65 & V_b_2 = V_d_2 )
% 218.31/218.65 | ( V_a_2 = V_d_2
% 218.31/218.65 & V_b_2 = V_c_2 ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_insert__not__empty,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_empty__not__insert,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UNIV__not__empty,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__empty__left,axiom,
% 218.31/218.65 ! [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 ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__empty__right,axiom,
% 218.31/218.65 ! [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 ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Un__empty,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.65 ( 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))
% 218.31/218.65 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Diff__cancel,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Diff__empty,axiom,
% 218.31/218.65 ! [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 ).
% 218.31/218.65
% 218.31/218.65 fof(fact_empty__Diff,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_subset__empty,axiom,
% 218.31/218.65 ! [V_A_2,T_b] :
% 218.31/218.65 ( 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))))
% 218.31/218.65 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_bot__apply,axiom,
% 218.31/218.65 ! [V_x_2,T_c,T_b] :
% 218.31/218.65 ( class_Orderings_Obot(T_b)
% 218.31/218.65 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_bot__fun__def,axiom,
% 218.31/218.65 ! [V_x_2,T_c,T_b] :
% 218.31/218.65 ( class_Orderings_Obot(T_b)
% 218.31/218.65 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_empty__is__image,axiom,
% 218.31/218.65 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.65 ( 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)
% 218.31/218.65 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__empty,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__is__empty,axiom,
% 218.31/218.65 ! [V_A_2,V_f_2,T_b,T_c] :
% 218.31/218.65 ( 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))
% 218.31/218.65 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_not__psubset__empty,axiom,
% 218.31/218.65 ! [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)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_bot__least,axiom,
% 218.31/218.65 ! [V_x,T_a] :
% 218.31/218.65 ( class_Orderings_Obot(T_a)
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_SUP__const,axiom,
% 218.31/218.65 ! [V_M_2,T_b,V_A_2,T_c] :
% 218.31/218.65 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 218.31/218.65 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => 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 ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UNION__empty__conv_I2_J,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.65 ( 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))
% 218.31/218.65 <=> ! [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 218.31/218.65 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__constant,axiom,
% 218.31/218.65 ! [V_c_2,T_c,T_b,V_A_2] :
% 218.31/218.65 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 218.31/218.65 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__empty2,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UNION__empty__conv_I1_J,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.65 ( 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)
% 218.31/218.65 <=> ! [B_x] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 218.31/218.65 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__eq__bot__iff,axiom,
% 218.31/218.65 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.65 ( class_Lattices_Obounded__lattice__bot(T_b)
% 218.31/218.65 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 218.31/218.65 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 218.31/218.65 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__bot__right,axiom,
% 218.31/218.65 ! [V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Obounded__lattice__bot(T_a)
% 218.31/218.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_sup__bot__left,axiom,
% 218.31/218.65 ! [V_x,T_a] :
% 218.31/218.65 ( class_Lattices_Obounded__lattice__bot(T_a)
% 218.31/218.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum_Oempty,axiom,
% 218.31/218.65 ! [V_g_2,T_c,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum__empty,axiom,
% 218.31/218.65 ! [V_f_2,T_c,T_b] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_subset__singletonD,axiom,
% 218.31/218.65 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.65 ( 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)))))
% 218.31/218.65 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_insert__is__Un,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastatMost__empty__iff,axiom,
% 218.31/218.65 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( 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))
% 218.31/218.65 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastatMost__empty__iff2,axiom,
% 218.31/218.65 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( 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)
% 218.31/218.65 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastatMost__empty,axiom,
% 218.31/218.65 ! [V_a_2,V_b_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_insert__Diff__single,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Diff__insert2,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Diff__insert,axiom,
% 218.31/218.65 ! [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)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastLessThan__empty,axiom,
% 218.31/218.65 ! [V_a_2,V_b_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card_Oempty,axiom,
% 218.31/218.65 ! [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) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastLessThan__empty__iff,axiom,
% 218.31/218.65 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( 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))
% 218.31/218.65 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 218.31/218.65 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( 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)
% 218.31/218.65 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Diff__UNIV,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastAtMost__singleton,axiom,
% 218.31/218.65 ! [V_a_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 218.31/218.65 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.65 <=> ( V_a_2 = V_b_2
% 218.31/218.65 & V_b_2 = V_c_2 ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastAtMost__singleton_H,axiom,
% 218.31/218.65 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( V_a_2 = V_b_2
% 218.31/218.65 => 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_subset__Compl__self__eq,axiom,
% 218.31/218.65 ! [V_A_2,T_b] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Compl__UNIV__eq,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Compl__empty__eq,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastLessThan0,axiom,
% 218.31/218.65 ! [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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_greaterThanAtMost__empty,axiom,
% 218.31/218.65 ! [V_k_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 218.31/218.65 ! [V_l_2,V_k_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( 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))
% 218.31/218.65 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 218.31/218.65 ! [V_l_2,V_k_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( 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)
% 218.31/218.65 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_greaterThanLessThan__empty,axiom,
% 218.31/218.65 ! [V_k_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_lessThan__0,axiom,
% 218.31/218.65 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)) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__constant__conv,axiom,
% 218.31/218.65 ! [V_c_2,T_c,T_b,V_A_2] :
% 218.31/218.65 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 218.31/218.65 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__simps_I1_J,axiom,
% 218.31/218.65 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 218.31/218.65 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => 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)) )
% 218.31/218.65 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__singleton,axiom,
% 218.31/218.65 ! [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 ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__extend__simps_I1_J,axiom,
% 218.31/218.65 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 218.31/218.65 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => 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))) )
% 218.31/218.65 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 218.31/218.65 ! [V_b_2,V_a_2] :
% 218.31/218.65 ( 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)
% 218.31/218.65 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 218.31/218.65 ! [V_b_2,V_a_2] :
% 218.31/218.65 ( 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))
% 218.31/218.65 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 218.31/218.65 ! [V_a_2,V_b_2] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__extend__simps_I2_J,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 218.31/218.65 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => 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 )
% 218.31/218.65 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__extend__simps_I3_J,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 218.31/218.65 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => 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 )
% 218.31/218.65 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__simps_I2_J,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 218.31/218.65 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => 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)) )
% 218.31/218.65 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__simps_I3_J,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 218.31/218.65 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => 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)) )
% 218.31/218.65 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_compl__bot__eq,axiom,
% 218.31/218.65 ! [T_a] :
% 218.31/218.65 ( class_Lattices_Oboolean__algebra(T_a)
% 218.31/218.65 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_compl__top__eq,axiom,
% 218.31/218.65 ! [T_a] :
% 218.31/218.65 ( class_Lattices_Oboolean__algebra(T_a)
% 218.31/218.65 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__eq__0__iff,axiom,
% 218.31/218.65 ! [V_A_2,T_b] :
% 218.31/218.65 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.65 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_single__Diff__lessThan,axiom,
% 218.31/218.65 ! [V_k_2,T_b] :
% 218.31/218.65 ( class_Orderings_Oorder(T_b)
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__eq__UN,axiom,
% 218.31/218.65 ! [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)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastLessThan__singleton,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atMost__0,axiom,
% 218.31/218.65 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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 218.31/218.65 ! [V_b_2,V_a_2] :
% 218.31/218.65 ( V_a_2 = V_b_2
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 218.31/218.65 ! [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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 218.31/218.65 ! [V_c_2,V_b_2,V_a_2] :
% 218.31/218.65 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))
% 218.31/218.65 <=> ( V_a_2 = V_b_2
% 218.31/218.65 & V_b_2 = V_c_2 ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeast__Suc,axiom,
% 218.31/218.65 ! [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)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_greaterThan__Suc,axiom,
% 218.31/218.65 ! [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)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__gt__0__iff,axiom,
% 218.31/218.65 ! [V_A_2,T_b] :
% 218.31/218.65 ( 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)))
% 218.31/218.65 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I2_J,axiom,
% 218.31/218.65 ! [V_u_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_atLeastLessThanSuc,axiom,
% 218.31/218.65 ! [V_na_2,V_m_2] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.65 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_na_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) )
% 218.31/218.65 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.65 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I1_J,axiom,
% 218.31/218.65 ! [V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_setsum_Oinsert__remove,axiom,
% 218.31/218.65 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 218.31/218.65 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => 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)))))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__insert,axiom,
% 218.31/218.65 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => 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)))))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__Diff1__le,axiom,
% 218.31/218.65 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I6_J,axiom,
% 218.31/218.65 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I5_J,axiom,
% 218.31/218.65 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I3_J,axiom,
% 218.31/218.65 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ivl__disj__un_I4_J,axiom,
% 218.31/218.65 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.65 ( class_Orderings_Olinorder(T_b)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 218.31/218.65 => 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) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card_Oinsert__remove,axiom,
% 218.31/218.65 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => 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)))))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_the__elem__def,axiom,
% 218.31/218.65 ! [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))))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 218.31/218.65 ! [V_k_2,V_l_2] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_the__elem__eq,axiom,
% 218.31/218.65 ! [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 ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__finite2__eq,axiom,
% 218.31/218.65 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 218.31/218.65 ( ! [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)
% 218.31/218.65 => 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) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 218.31/218.65 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_bot__nat__def,axiom,
% 218.31/218.65 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 218.31/218.65 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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 218.31/218.65 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))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_simp__from__to,axiom,
% 218.31/218.65 ! [V_i_2,V_j_2] :
% 218.31/218.65 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 218.31/218.65 => 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)) )
% 218.31/218.65 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_nat__def,axiom,
% 218.31/218.65 ! [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)))))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__finite__subset,axiom,
% 218.31/218.65 ! [V_C_2,V_A_2,T_b] :
% 218.31/218.65 ( ! [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))
% 218.31/218.65 => 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)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__Diff__singleton,axiom,
% 218.31/218.65 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_card__Diff__singleton__if,axiom,
% 218.31/218.65 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.65 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.65 => 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)) )
% 218.31/218.65 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.65 => 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) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_equalityCE,axiom,
% 218.31/218.65 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 218.31/218.65 ( V_A_2 = V_B_2
% 218.31/218.65 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.65 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 218.31/218.65 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_SUP2__I,axiom,
% 218.31/218.65 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_emptyE,axiom,
% 218.31/218.65 ! [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)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_insertE,axiom,
% 218.31/218.65 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 218.31/218.65 => ( V_a_2 != V_b_2
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_insertCI,axiom,
% 218.31/218.65 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 218.31/218.65 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 218.31/218.65 => V_a_2 = V_b_2 )
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_subsetD,axiom,
% 218.31/218.65 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UNIV__I,axiom,
% 218.31/218.65 ! [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)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_image__eqI,axiom,
% 218.31/218.65 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 218.31/218.65 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UnCI,axiom,
% 218.31/218.65 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 218.31/218.65 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UnE,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 218.31/218.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_DiffI,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_DiffE,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 218.31/218.65 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ComplI,axiom,
% 218.31/218.65 ! [V_A_2,V_c_2,T_b] :
% 218.31/218.65 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_SUP1__I,axiom,
% 218.31/218.65 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 218.31/218.65 => 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)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_UN__I,axiom,
% 218.31/218.65 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.65 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 218.31/218.65 => 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))) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_mem__splitI,axiom,
% 218.31/218.65 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_pair__imageI,axiom,
% 218.31/218.65 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.65 ( 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))
% 218.31/218.65 => 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))) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_equals0D,axiom,
% 218.31/218.65 ! [V_a_2,T_b,V_A_2] :
% 218.31/218.65 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.65 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_empty__iff,axiom,
% 218.31/218.65 ! [V_c_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_ex__in__conv,axiom,
% 218.31/218.65 ! [V_A_2,T_b] :
% 218.31/218.65 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.65 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_all__not__in__conv,axiom,
% 218.31/218.65 ! [V_A_2,T_b] :
% 218.31/218.65 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.65 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_Diff__iff,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 218.31/218.65 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.65 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_DiffD1,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 218.31/218.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_DiffD2,axiom,
% 218.31/218.65 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 218.31/218.65 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 218.31/218.65
% 218.31/218.65 fof(fact_insert__absorb,axiom,
% 218.31/218.65 ! [V_A_2,V_a_2,T_b] :
% 218.31/218.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_insertI2,axiom,
% 218.31/218.66 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_insert__ident,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 218.31/218.66 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 218.31/218.66 => ( 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)
% 218.31/218.66 <=> V_A_2 = V_B_2 ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_insert__iff,axiom,
% 218.31/218.66 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 218.31/218.66 <=> ( V_a_2 = V_b_2
% 218.31/218.66 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_insertI1,axiom,
% 218.31/218.66 ! [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))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_psubsetD,axiom,
% 218.31/218.66 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Un__iff,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 218.31/218.66 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.66 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UnI1,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UnI2,axiom,
% 218.31/218.66 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_set__mp,axiom,
% 218.31/218.66 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_set__rev__mp,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_in__mono,axiom,
% 218.31/218.66 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_pred__equals__eq,axiom,
% 218.31/218.66 ! [V_S_2,V_R_2,T_b] :
% 218.31/218.66 ( 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)
% 218.31/218.66 <=> V_R_2 = V_S_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_eq__mem,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 218.31/218.66 <=> V_x_2 = V_y_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Rep__Integ__inject,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2] :
% 218.31/218.66 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 218.31/218.66 <=> V_x_2 = V_y_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_eq__mem__trans,axiom,
% 218.31/218.66 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 218.31/218.66 ( V_a_2 = V_b_2
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_eqelem__imp__iff,axiom,
% 218.31/218.66 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 218.31/218.66 ( V_x_2 = V_y_2
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_eqset__imp__iff,axiom,
% 218.31/218.66 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 218.31/218.66 ( V_A_2 = V_B_2
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_mem__def,axiom,
% 218.31/218.66 ! [V_A_2,V_x_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 218.31/218.66 ! [V_A_2,V_x_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 218.31/218.66 <=> 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_image__iff,axiom,
% 218.31/218.66 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 218.31/218.66 <=> ? [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 218.31/218.66 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_imageI,axiom,
% 218.31/218.66 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_rev__image__eqI,axiom,
% 218.31/218.66 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ComplE,axiom,
% 218.31/218.66 ! [V_A_2,V_c_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 218.31/218.66 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ComplD,axiom,
% 218.31/218.66 ! [V_A_2,V_c_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 218.31/218.66 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Compl__iff,axiom,
% 218.31/218.66 ! [V_A_2,V_c_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 218.31/218.66 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_bot__empty__eq,axiom,
% 218.31/218.66 ! [V_x_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 218.31/218.66 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 218.31/218.66 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_sup__Un__eq2,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_pred__equals__eq2,axiom,
% 218.31/218.66 ! [V_S_2,V_R_2,T_c,T_b] :
% 218.31/218.66 ( 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)
% 218.31/218.66 <=> V_R_2 = V_S_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_bot__empty__eq2,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> 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)))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_pred__subset__eq,axiom,
% 218.31/218.66 ! [V_S_2,V_R_2,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_sup__Un__eq,axiom,
% 218.31/218.66 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UN__iff,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 <=> ? [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 218.31/218.66 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_singletonE,axiom,
% 218.31/218.66 ! [V_a_2,V_b_2,T_b] :
% 218.31/218.66 ( 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)))))
% 218.31/218.66 => V_b_2 = V_a_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_singleton__iff,axiom,
% 218.31/218.66 ! [V_a_2,V_b_2,T_b] :
% 218.31/218.66 ( 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)))))
% 218.31/218.66 <=> V_b_2 = V_a_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_insert__subset,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 218.31/218.66 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_subset__insert,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 218.31/218.66 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( 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)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_insert__image,axiom,
% 218.31/218.66 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_rangeI,axiom,
% 218.31/218.66 ! [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))))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_range__eqI,axiom,
% 218.31/218.66 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 218.31/218.66 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 218.31/218.66 => 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))))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_insert__Diff1,axiom,
% 218.31/218.66 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_insert__Diff__if,axiom,
% 218.31/218.66 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 218.31/218.66 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 218.31/218.66 => 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) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_lessThan__iff,axiom,
% 218.31/218.66 ! [V_k_2,V_i_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oord(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 218.31/218.66 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 218.31/218.66 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 218.31/218.66 ! [V_A_2,V_x_2] :
% 218.31/218.66 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 218.31/218.66 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 218.31/218.66 <=> 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_atMost__iff,axiom,
% 218.31/218.66 ! [V_k_2,V_i_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oord(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_atLeast__iff,axiom,
% 218.31/218.66 ! [V_k_2,V_i_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oord(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_greaterThan__iff,axiom,
% 218.31/218.66 ! [V_k_2,V_i_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oord(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 218.31/218.66 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 218.31/218.66 <=> V_x_2 = V_y_2 ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_le__SUPI,axiom,
% 218.31/218.66 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 218.31/218.66 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_nat__of,axiom,
% 218.31/218.66 ! [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)))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2] :
% 218.31/218.66 ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 218.31/218.66 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_SUP__UN__eq2,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UN__insert__distrib,axiom,
% 218.31/218.66 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UN__upper,axiom,
% 218.31/218.66 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_SUP__UN__eq,axiom,
% 218.31/218.66 ! [V_x_2,V_r_2,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UN__absorb,axiom,
% 218.31/218.66 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_pred__subset__eq2,axiom,
% 218.31/218.66 ! [V_S_2,V_R_2,T_c,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 <=> 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_insert__Diff,axiom,
% 218.31/218.66 ! [V_A_2,V_a_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Diff__insert__absorb,axiom,
% 218.31/218.66 ! [V_A_2,V_x_2,T_b] :
% 218.31/218.66 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2] :
% 218.31/218.66 ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__delta_H,axiom,
% 218.31/218.66 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.66 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 218.31/218.66 => 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) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__delta,axiom,
% 218.31/218.66 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.66 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 218.31/218.66 => 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) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_image__constant,axiom,
% 218.31/218.66 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_of__nat__inverse,axiom,
% 218.31/218.66 ! [V_y_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 218.31/218.66 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum_Oinsert,axiom,
% 218.31/218.66 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__insert,axiom,
% 218.31/218.66 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_subset__insert__iff,axiom,
% 218.31/218.66 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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)) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_diff__single__insert,axiom,
% 218.31/218.66 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__insert__disjoint,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__insert__if,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card_Oinsert,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_psubset__insert__iff,axiom,
% 218.31/218.66 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 218.31/218.66 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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)) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__diff1__nat,axiom,
% 218.31/218.66 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 218.31/218.66 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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)) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__diff1_H,axiom,
% 218.31/218.66 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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)))))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum_Oremove,axiom,
% 218.31/218.66 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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)))))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__diff1,axiom,
% 218.31/218.66 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Oab__group__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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)) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__diff1__ring,axiom,
% 218.31/218.66 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Rings_Oring(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__Suc__Diff1,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__Diff1__less,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__Diff2__less,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__Diff__insert,axiom,
% 218.31/218.66 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card_Oremove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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)))))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_in__rel__def,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 218.31/218.66 <=> 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 218.31/218.66 ! [V_f_2,V_A_2,T_b] :
% 218.31/218.66 ( ! [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.66 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_aset_I6_J,axiom,
% 218.31/218.66 ! [V_A_2,V_ta_2,V_D_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ta_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 218.31/218.66 => ! [B_x] :
% 218.31/218.66 ( ! [B_xa] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => ! [B_xb] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 218.31/218.66 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_ta_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_ta_2)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_bset_I8_J,axiom,
% 218.31/218.66 ! [V_B_2,V_ta_2,V_D_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_ta_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 218.31/218.66 => ! [B_x] :
% 218.31/218.66 ( ! [B_xa] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => ! [B_xb] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 218.31/218.66 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ta_2),B_x))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ta_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_sup2CI,axiom,
% 218.31/218.66 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 218.31/218.66 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_sup2E,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_bot2E,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_less__by__empty,axiom,
% 218.31/218.66 ! [V_B_2,T_b,V_A_2] :
% 218.31/218.66 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_SUP2__iff,axiom,
% 218.31/218.66 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 218.31/218.66 <=> ? [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.66 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_sup2I2,axiom,
% 218.31/218.66 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_sup2I1,axiom,
% 218.31/218.66 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Nitpick_Orefl_H__def,axiom,
% 218.31/218.66 ! [V_r_2,T_b] :
% 218.31/218.66 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 218.31/218.66 <=> ! [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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_dvd_OgreaterThan__iff,axiom,
% 218.31/218.66 ! [V_k_2,V_i_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2)))
% 218.31/218.66 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2))
% 218.31/218.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_dvd_OlessThan__iff,axiom,
% 218.31/218.66 ! [V_k_2,V_i_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OlessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2)))
% 218.31/218.66 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2))
% 218.31/218.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_aset_I4_J,axiom,
% 218.31/218.66 ! [V_A_2,V_ta_2,V_D_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_A_2))
% 218.31/218.66 => ! [B_x] :
% 218.31/218.66 ( ! [B_xa] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => ! [B_xb] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 218.31/218.66 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 218.31/218.66 => ( B_x != V_ta_2
% 218.31/218.66 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_ta_2 ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ord_OgreaterThan__iff,axiom,
% 218.31/218.66 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ord_OlessThan__iff,axiom,
% 218.31/218.66 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_bset_I3_J,axiom,
% 218.31/218.66 ! [V_B_2,V_ta_2,V_D_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_ta_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => ! [B_xa] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 218.31/218.66 => V_ta_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 218.31/218.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_ta_2),V_D_2) = V_ta_2 ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_aset_I3_J,axiom,
% 218.31/218.66 ! [V_A_2,V_ta_2,V_D_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ta_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => ! [B_xa] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 218.31/218.66 => V_ta_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 218.31/218.66 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ta_2),V_D_2) = V_ta_2 ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_aset_I5_J,axiom,
% 218.31/218.66 ! [V_A_2,V_ta_2,V_D_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_A_2))
% 218.31/218.66 => ! [B_x] :
% 218.31/218.66 ( ! [B_xa] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => ! [B_xb] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 218.31/218.66 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_ta_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_ta_2)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_bset_I7_J,axiom,
% 218.31/218.66 ! [V_B_2,V_ta_2,V_D_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_B_2))
% 218.31/218.66 => ! [B_x] :
% 218.31/218.66 ( ! [B_xa] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => ! [B_xb] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 218.31/218.66 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ta_2),B_x))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ta_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_bset_I4_J,axiom,
% 218.31/218.66 ! [V_B_2,V_ta_2,V_D_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_B_2))
% 218.31/218.66 => ! [B_x] :
% 218.31/218.66 ( ! [B_xa] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => ! [B_xb] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 218.31/218.66 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 218.31/218.66 => ( B_x != V_ta_2
% 218.31/218.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_ta_2 ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_in__measure,axiom,
% 218.31/218.66 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 218.31/218.66 ( hBOOL(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)))
% 218.31/218.66 <=> 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_dvd_OatLeast__iff,axiom,
% 218.31/218.66 ! [V_k_2,V_i_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatLeast(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_dvd_OatMost__iff,axiom,
% 218.31/218.66 ! [V_k_2,V_i_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ord_OatLeast__iff,axiom,
% 218.31/218.66 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ord_OatMost__iff,axiom,
% 218.31/218.66 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__one_Oremove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 218.31/218.66 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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)))))) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__image__simple_Oremove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 218.31/218.66 => 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)))))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 218.31/218.66 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( 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)
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__mono2,axiom,
% 218.31/218.66 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.66 => ( ! [B_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 218.31/218.66 => 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))) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__image__simple_Oempty,axiom,
% 218.31/218.66 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 218.31/218.66 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 218.31/218.66 ! [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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 218.31/218.66 ! [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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__one_Osingleton,axiom,
% 218.31/218.66 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 218.31/218.66 => 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 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__image__simple_Oinsert,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__one_Oinsert,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.66 => 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)))))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__one_Oinsert__remove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 218.31/218.66 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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)))))) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_flat__lub__def,axiom,
% 218.31/218.66 ! [V_b_2,V_A_2,T_b] :
% 218.31/218.66 ( ( 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)))))
% 218.31/218.66 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 218.31/218.66 & ( ~ 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)))))
% 218.31/218.66 => 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)))))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_mlex__leq,axiom,
% 218.31/218.66 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => ( hBOOL(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))
% 218.31/218.66 => hBOOL(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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_mlex__less,axiom,
% 218.31/218.66 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => hBOOL(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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__bounded,axiom,
% 218.31/218.66 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 218.31/218.66 & class_Rings_Osemiring__1(T_c) )
% 218.31/218.66 => ( ! [B_i] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__Suc__eq,axiom,
% 218.31/218.66 ! [V_k_2,V_A_2,T_b] :
% 218.31/218.66 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 218.31/218.66 <=> ? [B_b,B_B] :
% 218.31/218.66 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 218.31/218.66 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 218.31/218.66 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 218.31/218.66 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.66 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 218.31/218.66 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 218.31/218.66 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 218.31/218.66 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 218.31/218.66 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Nats__number__of,axiom,
% 218.31/218.66 ! [V_w_2,T_b] :
% 218.31/218.66 ( class_Int_Onumber__ring(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Nats__0,axiom,
% 218.31/218.66 ! [T_b] :
% 218.31/218.66 ( class_Rings_Osemiring__1(T_b)
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Nats__add,axiom,
% 218.31/218.66 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.66 ( class_Rings_Osemiring__1(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Nats__mult,axiom,
% 218.31/218.66 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.66 ( class_Rings_Osemiring__1(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Nats__1,axiom,
% 218.31/218.66 ! [T_b] :
% 218.31/218.66 ( class_Rings_Osemiring__1(T_b)
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_of__nat__in__Nats,axiom,
% 218.31/218.66 ! [V_na_2,T_b] :
% 218.31/218.66 ( class_Rings_Osemiring__1(T_b)
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 218.31/218.66 ! [V_k_2,V_l_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 218.31/218.66 ! [V_a_2,V_b_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 218.31/218.66 ! [V_l_2,V_k_2] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 218.31/218.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 218.31/218.66 ! [V_b_2,V_a_2] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 218.31/218.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 218.31/218.66 ! [V_l_2,V_k_2] :
% 218.31/218.66 ( 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)
% 218.31/218.66 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 218.31/218.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 218.31/218.66 ! [V_b_2,V_a_2] :
% 218.31/218.66 ( 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)
% 218.31/218.66 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 218.31/218.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Ints__odd__less__0,axiom,
% 218.31/218.66 ! [V_a_2,T_b] :
% 218.31/218.66 ( class_Rings_Olinordered__idom(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 218.31/218.66 => ( 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)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Sup__fin_Oremove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 218.31/218.66 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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)))))) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max_Oremove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 218.31/218.66 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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)))))) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min_Oremove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 218.31/218.66 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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)))))) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_minus__Max__eq__Min,axiom,
% 218.31/218.66 ! [V_S_2,T_b] :
% 218.31/218.66 ( class_Groups_Olinordered__ab__group__add(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.66 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_minus__Min__eq__Max,axiom,
% 218.31/218.66 ! [V_S_2,T_b] :
% 218.31/218.66 ( class_Groups_Olinordered__ab__group__add(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.66 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min_Osingleton,axiom,
% 218.31/218.66 ! [V_x_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => 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 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max_Osingleton,axiom,
% 218.31/218.66 ! [V_x_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => 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 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Sup__fin_Osingleton,axiom,
% 218.31/218.66 ! [V_x_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => 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 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Ints__0,axiom,
% 218.31/218.66 ! [T_b] :
% 218.31/218.66 ( class_Rings_Oring__1(T_b)
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Ints__add,axiom,
% 218.31/218.66 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.66 ( class_Rings_Oring__1(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Ints__mult,axiom,
% 218.31/218.66 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.66 ( class_Rings_Oring__1(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Ints__diff,axiom,
% 218.31/218.66 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.66 ( class_Rings_Oring__1(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Ints__number__of,axiom,
% 218.31/218.66 ! [V_w_2,T_b] :
% 218.31/218.66 ( class_Int_Onumber__ring(T_b)
% 218.31/218.66 => 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Ints__1,axiom,
% 218.31/218.66 ! [T_b] :
% 218.31/218.66 ( class_Rings_Oring__1(T_b)
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Ints__minus,axiom,
% 218.31/218.66 ! [V_a_2,T_b] :
% 218.31/218.66 ( class_Rings_Oring__1(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Ints__power,axiom,
% 218.31/218.66 ! [V_na_2,V_a_2,T_b] :
% 218.31/218.66 ( class_Rings_Oring__1(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Ints__of__nat,axiom,
% 218.31/218.66 ! [V_na_2,T_b] :
% 218.31/218.66 ( class_Rings_Oring__1(T_b)
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Ints__of__int,axiom,
% 218.31/218.66 ! [V_z_2,T_b] :
% 218.31/218.66 ( class_Rings_Oring__1(T_b)
% 218.31/218.66 => 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min__le,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max__ge,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min__in,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max__in,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Sup__fin_Oin__idem,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min_Oin__idem,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max_Oin__idem,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Ints__double__eq__0__iff,axiom,
% 218.31/218.66 ! [V_a_2,T_b] :
% 218.31/218.66 ( class_Int_Oring__char__0(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 218.31/218.66 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 218.31/218.66 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max__mono,axiom,
% 218.31/218.66 ! [V_N_2,V_M_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 218.31/218.66 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 218.31/218.66 => 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))) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min__antimono,axiom,
% 218.31/218.66 ! [V_N_2,V_M_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 218.31/218.66 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 218.31/218.66 => 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))) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min__insert,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Sup__fin_Osubset__idem,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max__insert,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min_Osubset__idem,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Sup__fin_Ounion__idem,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max_Osubset__idem,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min__Un,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max__Un,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Ints__odd__nonzero,axiom,
% 218.31/218.66 ! [V_a_2,T_b] :
% 218.31/218.66 ( class_Int_Oring__char__0(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Sup__fin_Oinsert,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min_Oinsert,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max_Oinsert,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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 )
% 218.31/218.66 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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)))))) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min_Oinsert__remove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 218.31/218.66 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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)))))) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max_Oinsert__remove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 218.31/218.66 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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)))))) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max_Oclosed,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( ! [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))))))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min_Oclosed,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( ! [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))))))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Sup__fin_Oclosed,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( ! [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))))))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_iso__tuple__UNIV__I,axiom,
% 218.31/218.66 ! [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)))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 218.31/218.66 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 218.31/218.66 | ? [B_x,B_y] :
% 218.31/218.66 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 218.31/218.66 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 218.31/218.66 & 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) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_in__lex__prod,axiom,
% 218.31/218.66 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 <=> ( 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))
% 218.31/218.66 | ( V_a_2 = V_a_H_2
% 218.31/218.66 & 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__Plus__conv__if,axiom,
% 218.31/218.66 ! [V_B_2,T_c,V_A_2,T_b] :
% 218.31/218.66 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 218.31/218.66 => 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)) )
% 218.31/218.66 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_in__finite__psubset,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.66 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_finite__PlusD_I2_J,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_finite__PlusD_I1_J,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_finite__Plus,axiom,
% 218.31/218.66 ! [V_B_2,T_c,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_finite__Plus__iff,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__Plus,axiom,
% 218.31/218.66 ! [V_B_2,T_c,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UNIV__Plus__UNIV,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_same__fstI,axiom,
% 218.31/218.66 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_P_2] :
% 218.31/218.66 ( hBOOL(hAPP(V_P_2,V_x_2))
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Plus__eq__empty__conv,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 218.31/218.66 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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)))))) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 218.31/218.66 ! [V_x_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => 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 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 218.31/218.66 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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 ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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 )
% 218.31/218.66 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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)))))) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( ! [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))))))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OInf__le__Sup,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 218.31/218.66 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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)))))) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__one_Oclosed,axiom,
% 218.31/218.66 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( ! [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))))))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 218.31/218.66 ! [V_x_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => 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 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 218.31/218.66 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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 ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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 )
% 218.31/218.66 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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)))))) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( ! [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))))))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fun__upd__image,axiom,
% 218.31/218.66 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 218.31/218.66 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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)))))) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__gen__delta,axiom,
% 218.31/218.66 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.66 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 218.31/218.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 218.31/218.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__nonneg__0,axiom,
% 218.31/218.66 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Oordered__ab__group__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 218.31/218.66 => ( ! [B_i] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 218.31/218.66 => ( 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)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 218.31/218.66 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fun__upd__triv,axiom,
% 218.31/218.66 ! [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 ).
% 218.31/218.66
% 218.31/218.66 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 218.31/218.66 ! [V_A_2,V_f_2,T_b] :
% 218.31/218.66 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.66 & class_Groups_Ocomm__monoid__mult(T_b) )
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fun__upd__idem__iff,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 218.31/218.66 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fun__upd__upd,axiom,
% 218.31/218.66 ! [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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fun__upd__same,axiom,
% 218.31/218.66 ! [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 ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fun__upd__apply,axiom,
% 218.31/218.66 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 218.31/218.66 ( ( V_z_2 = V_x_2
% 218.31/218.66 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 218.31/218.66 & ( V_z_2 != V_x_2
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fun__upd__twist,axiom,
% 218.31/218.66 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 218.31/218.66 ( V_a_2 != V_c_2
% 218.31/218.66 => c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_a_2,V_b_2),V_c_2,V_d_2) = c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_c_2,V_d_2),V_a_2,V_b_2) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fun__upd__other,axiom,
% 218.31/218.66 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 218.31/218.66 ( V_z_2 != V_x_2
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fun__upd__idem,axiom,
% 218.31/218.66 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 218.31/218.66 ( hAPP(V_f_2,V_x_2) = V_y_2
% 218.31/218.66 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fun__upd__def,axiom,
% 218.31/218.66 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 218.31/218.66 ( ( V_x_2 = V_a_2
% 218.31/218.66 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 218.31/218.66 & ( V_x_2 != V_a_2
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__timesf,axiom,
% 218.31/218.66 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__1,axiom,
% 218.31/218.66 ! [V_A_2,T_c,T_b] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_b)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_of__nat__setprod,axiom,
% 218.31/218.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 218.31/218.66 & class_Rings_Osemiring__1(T_b) )
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_int__setprod,axiom,
% 218.31/218.66 ! [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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_of__int__setprod,axiom,
% 218.31/218.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 218.31/218.66 & class_Rings_Oring__1(T_b) )
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_abs__setprod,axiom,
% 218.31/218.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( class_Fields_Olinordered__field(T_b)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__zero__iff,axiom,
% 218.31/218.66 ! [V_f_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 218.31/218.66 & class_Rings_Ono__zero__divisors(T_c) )
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( 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)
% 218.31/218.66 <=> ? [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.66 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__zero,axiom,
% 218.31/218.66 ! [V_f_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Rings_Ocomm__semiring__1(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ? [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.66 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 218.31/218.66 => 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) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod_Oempty,axiom,
% 218.31/218.66 ! [V_g_2,T_c,T_b] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_b)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__empty,axiom,
% 218.31/218.66 ! [V_f_2,T_c,T_b] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_b)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod_Oinfinite,axiom,
% 218.31/218.66 ! [V_g_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__infinite,axiom,
% 218.31/218.66 ! [V_f_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__eq__1__iff,axiom,
% 218.31/218.66 ! [V_f_2,V_F_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 218.31/218.66 => ( 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)
% 218.31/218.66 <=> ! [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 218.31/218.66 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 218.31/218.66 ! [V_f_2,V_A_2,T_b] :
% 218.31/218.66 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.66 & class_Groups_Ocomm__monoid__mult(T_b) )
% 218.31/218.66 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod_Odistrib,axiom,
% 218.31/218.66 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__dividef,axiom,
% 218.31/218.66 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Fields_Ofield__inverse__zero(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_dvd__setprod,axiom,
% 218.31/218.66 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Rings_Ocomm__semiring__1(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__pos__nat__iff,axiom,
% 218.31/218.66 ! [V_f_2,V_S_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.66 => ( 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)))
% 218.31/218.66 <=> ! [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__dvd__setprod__subset,axiom,
% 218.31/218.66 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 218.31/218.66 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 & class_Rings_Odvd(T_c) )
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__delta_H,axiom,
% 218.31/218.66 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.66 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 218.31/218.66 => 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) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__delta,axiom,
% 218.31/218.66 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.66 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 218.31/218.66 => 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) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__constant,axiom,
% 218.31/218.66 ! [V_y_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod_Oinsert,axiom,
% 218.31/218.66 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__insert,axiom,
% 218.31/218.66 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod_Oinsert__remove,axiom,
% 218.31/218.66 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => 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)))))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod_Oremove,axiom,
% 218.31/218.66 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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)))))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__diff1,axiom,
% 218.31/218.66 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Fields_Ofield(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 218.31/218.66 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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)) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__nonneg__leq__bound,axiom,
% 218.31/218.66 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Oordered__ab__group__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 218.31/218.66 => ( ! [B_i] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 218.31/218.66 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_pair__lessI2,axiom,
% 218.31/218.66 ! [V_ta_2,V_s_2,V_b_2,V_a_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_ta_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_ta_2))),c_FunDef_Opair__less)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 218.31/218.66 ! [V_N_2,V_h_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( ! [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))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 218.31/218.66 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 218.31/218.66 ! [V_N_2,V_h_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( ! [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))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 218.31/218.66 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_pair__lessI1,axiom,
% 218.31/218.66 ! [V_ta_2,V_s_2,V_b_2,V_a_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_ta_2))),c_FunDef_Opair__less)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_pair__leqI2,axiom,
% 218.31/218.66 ! [V_ta_2,V_s_2,V_b_2,V_a_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_ta_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_ta_2))),c_FunDef_Opair__leq)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_smax__insertI,axiom,
% 218.31/218.66 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_smin__insertI,axiom,
% 218.31/218.66 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_pair__leqI1,axiom,
% 218.31/218.66 ! [V_ta_2,V_s_2,V_b_2,V_a_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_ta_2))),c_FunDef_Opair__leq)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_smax__emptyI,axiom,
% 218.31/218.66 ! [V_Y_2] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 218.31/218.66 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_smin__emptyI,axiom,
% 218.31/218.66 ! [V_X_2] :
% 218.31/218.66 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_wmin__insertI,axiom,
% 218.31/218.66 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_wmax__insertI,axiom,
% 218.31/218.66 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 218.31/218.66 ! [V_f_2,V_A_2,T_b] :
% 218.31/218.66 ( ! [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.66 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_wmin__emptyI,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_wmax__emptyI,axiom,
% 218.31/218.66 ! [V_X_2] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__weak__def,axiom,
% 218.31/218.66 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)))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_max__weak__def,axiom,
% 218.31/218.66 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)))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_max__rpair__set,axiom,
% 218.31/218.66 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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_max__strict__def,axiom,
% 218.31/218.66 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_max__ext__additive,axiom,
% 218.31/218.66 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__strict__def,axiom,
% 218.31/218.66 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__rpair__set,axiom,
% 218.31/218.66 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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_max__extp__max__ext__eq,axiom,
% 218.31/218.66 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 218.31/218.66 ( 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)
% 218.31/218.66 <=> 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_less__than__iff,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_intrel__iff,axiom,
% 218.31/218.66 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_pair__less__def,axiom,
% 218.31/218.66 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_mlex__prod__def,axiom,
% 218.31/218.66 ! [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))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_rp__inv__image__rp,axiom,
% 218.31/218.66 ! [V_f_2,T_c,V_P_2,T_b] :
% 218.31/218.66 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 218.31/218.66 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_P_2),V_f_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max_Ohom__commute,axiom,
% 218.31/218.66 ! [V_N_2,V_h_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( ! [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))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 218.31/218.66 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_rp__inv__image__def,axiom,
% 218.31/218.66 ! [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))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_in__inv__image,axiom,
% 218.31/218.66 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 218.31/218.66 ( hBOOL(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)))
% 218.31/218.66 <=> 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min_Ohom__commute,axiom,
% 218.31/218.66 ! [V_N_2,V_h_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( ! [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))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 218.31/218.66 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Sup__fin_Ohom__commute,axiom,
% 218.31/218.66 ! [V_N_2,V_h_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( ! [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))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 218.31/218.66 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_measure__def,axiom,
% 218.31/218.66 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_irrefl__def,axiom,
% 218.31/218.66 ! [V_r_2,T_b] :
% 218.31/218.66 ( c_Relation_Oirrefl(T_b,V_r_2)
% 218.31/218.66 <=> ! [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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Field__insert,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Id__on__def,axiom,
% 218.31/218.66 ! [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)))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Id__on__def_H,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Id__on__empty,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Field__empty,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_mono__Field,axiom,
% 218.31/218.66 ! [V_s_2,V_r_2,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 => 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Field__Un,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_finite__Field,axiom,
% 218.31/218.66 ! [V_r_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 218.31/218.66 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Id__on__iff,axiom,
% 218.31/218.66 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 218.31/218.66 ( hBOOL(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)))
% 218.31/218.66 <=> ( V_x_2 = V_y_2
% 218.31/218.66 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Id__on__eqI,axiom,
% 218.31/218.66 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 218.31/218.66 ( V_a_2 = V_b_2
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Id__onE,axiom,
% 218.31/218.66 ! [V_A_2,V_c_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 218.31/218.66 => ~ ! [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.66 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__mono__one__left,axiom,
% 218.31/218.66 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__mono__one__right,axiom,
% 218.31/218.66 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__mono__zero__right,axiom,
% 218.31/218.66 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__mono__zero__left,axiom,
% 218.31/218.66 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__Pow,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_PowI,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_finite__Pow__iff,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 218.31/218.66 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Pow__UNIV,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Cantors__paradox,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ~ ? [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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_image__Pow__surj,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 218.31/218.66 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Pow__mono,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.66 => 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Pow__iff,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_PowD,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Pow__top,axiom,
% 218.31/218.66 ! [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))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Un__Pow__subset,axiom,
% 218.31/218.66 ! [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)))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Pow__not__empty,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Pow__bottom,axiom,
% 218.31/218.66 ! [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))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Pow__empty,axiom,
% 218.31/218.66 ! [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))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Pow__insert,axiom,
% 218.31/218.66 ! [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))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UN__Pow__subset,axiom,
% 218.31/218.66 ! [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)))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_image__Pow__mono,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 => 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Powp__Pow__eq,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_finite__empty__induct,axiom,
% 218.31/218.66 ! [V_P_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(V_P_2,V_A_2))
% 218.31/218.66 => ( ! [B_a,B_A] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 218.31/218.66 => ( hBOOL(hAPP(V_P_2,B_A))
% 218.31/218.66 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) )
% 218.31/218.66 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__one__idem_Oidem,axiom,
% 218.31/218.66 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 218.31/218.66 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Powp__mono,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.66 => 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__one__idem_Oin__idem,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_finite__subset__induct,axiom,
% 218.31/218.66 ! [V_P_2,V_A_2,V_F_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 218.31/218.66 => ( ! [B_a,B_F] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 218.31/218.66 => ( hBOOL(hAPP(V_P_2,B_F))
% 218.31/218.66 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 218.31/218.66 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__strict__mono,axiom,
% 218.31/218.66 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 218.31/218.66 => 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))) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_equiv__intrel__iff,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2] :
% 218.31/218.66 ( 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))))
% 218.31/218.66 <=> 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Image__UN,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Image__Un,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Image__empty,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Image__mono,axiom,
% 218.31/218.66 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Un__Image,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_rev__ImageI,axiom,
% 218.31/218.66 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Image__iff,axiom,
% 218.31/218.66 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 218.31/218.66 <=> ? [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 218.31/218.66 & 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Image__eq__UN,axiom,
% 218.31/218.66 ! [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))))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Image__singleton__iff,axiom,
% 218.31/218.66 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 218.31/218.66 ( 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))))))
% 218.31/218.66 <=> 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_of__int,axiom,
% 218.31/218.66 ! [V_j_2,V_i_2,T_b] :
% 218.31/218.66 ( class_Rings_Oring__1(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_One__int__def,axiom,
% 218.31/218.66 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))))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_mult,axiom,
% 218.31/218.66 ! [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))))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Rep__Integ__inverse,axiom,
% 218.31/218.66 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 218.31/218.66
% 218.31/218.66 fof(fact_minus,axiom,
% 218.31/218.66 ! [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))))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Zero__int__def,axiom,
% 218.31/218.66 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))))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_int__def,axiom,
% 218.31/218.66 ! [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))))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_add,axiom,
% 218.31/218.66 ! [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))))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_nat,axiom,
% 218.31/218.66 ! [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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_minus__int__def,axiom,
% 218.31/218.66 ! [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))))))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_less,axiom,
% 218.31/218.66 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 218.31/218.66 ( 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)))))))
% 218.31/218.66 <=> 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_le,axiom,
% 218.31/218.66 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 218.31/218.66 ( 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)))))))
% 218.31/218.66 <=> 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_eq__Abs__Integ,axiom,
% 218.31/218.66 ! [V_z_2] :
% 218.31/218.66 ~ ! [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))))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_quotient__def,axiom,
% 218.31/218.66 ! [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)))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ImageE,axiom,
% 218.31/218.66 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 218.31/218.66 => ~ ! [B_x] :
% 218.31/218.66 ( 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))
% 218.31/218.66 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_quotient__empty,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_quotient__is__empty2,axiom,
% 218.31/218.66 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( 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)
% 218.31/218.66 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_quotient__is__empty,axiom,
% 218.31/218.66 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_quotientI,axiom,
% 218.31/218.66 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_singleton__quotient,axiom,
% 218.31/218.66 ! [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))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_subset__equiv__class,axiom,
% 218.31/218.66 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( 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))))))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_quotientE,axiom,
% 218.31/218.66 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => ~ ! [B_x] :
% 218.31/218.66 ( 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))))
% 218.31/218.66 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_eq__equiv__class__iff2,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 218.31/218.66 => ( 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)
% 218.31/218.66 <=> hBOOL(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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_equiv__intrel,axiom,
% 218.31/218.66 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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_equiv__class__self,axiom,
% 218.31/218.66 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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)))))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_equiv__class__eq,axiom,
% 218.31/218.66 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_quotient__eqI,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 218.31/218.66 => ( hBOOL(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))
% 218.31/218.66 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_quotient__eq__iff,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 218.31/218.66 => ( V_X_2 = V_Y_2
% 218.31/218.66 <=> hBOOL(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)) ) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_eq__equiv__class,axiom,
% 218.31/218.66 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 218.31/218.66 ( 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))))
% 218.31/218.66 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_eq__equiv__class__iff,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 218.31/218.66 => ( 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))))
% 218.31/218.66 <=> hBOOL(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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_equiv__class__eq__iff,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( hBOOL(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))
% 218.31/218.66 <=> ( 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))))
% 218.31/218.66 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_equiv__class__subset,axiom,
% 218.31/218.66 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)))))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UN__equiv__class,axiom,
% 218.31/218.66 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UN__equiv__class2,axiom,
% 218.31/218.66 ! [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] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 218.31/218.66 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 218.31/218.66 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 218.31/218.66 => 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) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_equiv__class__nondisjoint,axiom,
% 218.31/218.66 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( 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)))))))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf1I,axiom,
% 218.31/218.66 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 218.31/218.66 ( hBOOL(hAPP(V_A_2,V_x_2))
% 218.31/218.66 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf1E,axiom,
% 218.31/218.66 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 218.31/218.66 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_IntI,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_IntE,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 218.31/218.66 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.66 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_finite__Int,axiom,
% 218.31/218.66 ! [V_G_2,V_F_2,T_b] :
% 218.31/218.66 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 218.31/218.66 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) )
% 218.31/218.66 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_insert__inter__insert,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__empty__left,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__empty__right,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_disjoint__iff__not__equal,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> ! [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.66 => ! [B_xa] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 218.31/218.66 => B_x != B_xa ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__bot__left,axiom,
% 218.31/218.66 ! [V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Obounded__lattice__bot(T_a)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__bot__right,axiom,
% 218.31/218.66 ! [V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Obounded__lattice__bot(T_a)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__Un__distrib,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Un__Int__distrib,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__Un__distrib2,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Un__Int__distrib2,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Un__Int__crazy,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__sup__absorb,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Olattice(T_a)
% 218.31/218.66 => 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 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_sup__inf__absorb,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Olattice(T_a)
% 218.31/218.66 => 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 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__sup__distrib1,axiom,
% 218.31/218.66 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Odistrib__lattice(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_sup__inf__distrib1,axiom,
% 218.31/218.66 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Odistrib__lattice(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__sup__distrib2,axiom,
% 218.31/218.66 ! [V_x,V_z,V_y,T_a] :
% 218.31/218.66 ( class_Lattices_Odistrib__lattice(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_sup__inf__distrib2,axiom,
% 218.31/218.66 ! [V_x,V_z,V_y,T_a] :
% 218.31/218.66 ( class_Lattices_Odistrib__lattice(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__Int__eq,axiom,
% 218.31/218.66 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__iff,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 218.31/218.66 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.66 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_IntD1,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_IntD2,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_le__infE,axiom,
% 218.31/218.66 ! [V_b,V_a,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 218.31/218.66 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__mono,axiom,
% 218.31/218.66 ! [V_d,V_b,V_c,V_a,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__greatest,axiom,
% 218.31/218.66 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_le__infI,axiom,
% 218.31/218.66 ! [V_b,V_a,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__absorb2,axiom,
% 218.31/218.66 ! [V_x,V_y,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__absorb1,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_le__infI2,axiom,
% 218.31/218.66 ! [V_a,V_x,V_b,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_le__infI1,axiom,
% 218.31/218.66 ! [V_b,V_x,V_a,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_le__inf__iff,axiom,
% 218.31/218.66 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_b)
% 218.31/218.66 => ( 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)))
% 218.31/218.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.31/218.66 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_le__iff__inf,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.31/218.66 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__le2,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__sup__ord_I2_J,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Olattice(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__le1,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__sup__ord_I1_J,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Olattice(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__lower1,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__lower2,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__absorb2,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__absorb1,axiom,
% 218.31/218.66 ! [V_A_2,V_B_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__greatest,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__mono,axiom,
% 218.31/218.66 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__UNIV__left,axiom,
% 218.31/218.66 ! [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 ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__UNIV__right,axiom,
% 218.31/218.66 ! [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 ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__top__left,axiom,
% 218.31/218.66 ! [V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Obounded__lattice__top(T_a)
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__top__right,axiom,
% 218.31/218.66 ! [V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Obounded__lattice__top(T_a)
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__eq__top__iff,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,T_b] :
% 218.31/218.66 ( class_Lattices_Obounded__lattice__top(T_b)
% 218.31/218.66 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 218.31/218.66 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 218.31/218.66 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2] :
% 218.31/218.66 ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.66 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__min,axiom,
% 218.31/218.66 ! [T_b] :
% 218.31/218.66 ( ( class_Lattices_Osemilattice__inf(T_b)
% 218.31/218.66 & class_Orderings_Olinorder(T_b) )
% 218.31/218.66 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__fun__def,axiom,
% 218.31/218.66 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__absorb,axiom,
% 218.31/218.66 ! [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 ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__commute,axiom,
% 218.31/218.66 ! [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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__left__absorb,axiom,
% 218.31/218.66 ! [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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__left__commute,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__assoc,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf_Oidem,axiom,
% 218.31/218.66 ! [V_a,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__idem,axiom,
% 218.31/218.66 ! [V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf_Ocommute,axiom,
% 218.31/218.66 ! [V_b,V_a,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__sup__aci_I1_J,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Olattice(T_a)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__commute,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf_Oleft__idem,axiom,
% 218.31/218.66 ! [V_b,V_a,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__sup__aci_I4_J,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Olattice(T_a)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__left__idem,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf_Oleft__commute,axiom,
% 218.31/218.66 ! [V_c,V_a,V_b,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__sup__aci_I3_J,axiom,
% 218.31/218.66 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Olattice(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__left__commute,axiom,
% 218.31/218.66 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf_Oassoc,axiom,
% 218.31/218.66 ! [V_c,V_b,V_a,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__sup__aci_I2_J,axiom,
% 218.31/218.66 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Olattice(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__assoc,axiom,
% 218.31/218.66 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__apply,axiom,
% 218.31/218.66 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Inf__fin_Oidem,axiom,
% 218.31/218.66 ! [V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Olattice(T_a)
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf1D1,axiom,
% 218.31/218.66 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf1D2,axiom,
% 218.31/218.66 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_less__infI2,axiom,
% 218.31/218.66 ! [V_a,V_x,V_b,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_less__infI1,axiom,
% 218.31/218.66 ! [V_b,V_x,V_a,T_a] :
% 218.31/218.66 ( class_Lattices_Osemilattice__inf(T_a)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Diff__Int2,axiom,
% 218.31/218.66 ! [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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Diff__Int__distrib2,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__Diff,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Diff__Int__distrib,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Pow__Int__eq,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__UN__distrib2,axiom,
% 218.31/218.66 ! [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))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UN__extend__simps_I4_J,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__UN__distrib,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UN__extend__simps_I5_J,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UN__simps_I4_J,axiom,
% 218.31/218.66 ! [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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UN__simps_I5_J,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_distrib__inf__le,axiom,
% 218.31/218.66 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Olattice(T_a)
% 218.31/218.66 => 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)))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_distrib__sup__le,axiom,
% 218.31/218.66 ! [V_z,V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Olattice(T_a)
% 218.31/218.66 => 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)))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__compl__bot,axiom,
% 218.31/218.66 ! [V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Oboolean__algebra(T_a)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_compl__inf__bot,axiom,
% 218.31/218.66 ! [V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Oboolean__algebra(T_a)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_diff__eq,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Oboolean__algebra(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_compl__inf,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Oboolean__algebra(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_compl__sup,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Oboolean__algebra(T_a)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__insert__right,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 218.31/218.66 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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)) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__insert__left,axiom,
% 218.31/218.66 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 218.31/218.66 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 218.31/218.66 => 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)) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__insert__right__if0,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 218.31/218.66 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__insert__left__if0,axiom,
% 218.31/218.66 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 218.31/218.66 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__insert__right__if1,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__insert__left__if1,axiom,
% 218.31/218.66 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_image__Int__subset,axiom,
% 218.31/218.66 ! [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)))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Diff__disjoint,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Diff__triv,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Un__Int__assoc__eq,axiom,
% 218.31/218.66 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Diff__Int,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Diff__Un,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Un__Diff__Int,axiom,
% 218.31/218.66 ! [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 ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I11_J,axiom,
% 218.31/218.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 218.31/218.66 ! [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))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Compl__disjoint,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Compl__disjoint2,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Image__Int__subset,axiom,
% 218.31/218.66 ! [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)))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Compl__Int,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Compl__Un,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Diff__eq,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Diff__Compl,axiom,
% 218.31/218.66 ! [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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I14_J,axiom,
% 218.31/218.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Image__Id__on,axiom,
% 218.31/218.66 ! [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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2] :
% 218.31/218.66 ( c_Nat__Transfer_Onat__set(V_A_2)
% 218.31/218.66 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_congruent2__implies__congruent,axiom,
% 218.31/218.66 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 218.31/218.66 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__Sup__absorb,axiom,
% 218.31/218.66 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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 ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_disjoint__eq__subset__Compl,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I15_J,axiom,
% 218.31/218.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__atLeastAtMost,axiom,
% 218.31/218.66 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__atLeastLessThan,axiom,
% 218.31/218.66 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I4_J,axiom,
% 218.31/218.66 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I2_J,axiom,
% 218.31/218.66 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I16_J,axiom,
% 218.31/218.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I12_J,axiom,
% 218.31/218.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I13_J,axiom,
% 218.31/218.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__greaterThanAtMost,axiom,
% 218.31/218.66 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I9_J,axiom,
% 218.31/218.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__greaterThanLessThan,axiom,
% 218.31/218.66 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__atLeastAtMostR1,axiom,
% 218.31/218.66 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__atLeastAtMostL1,axiom,
% 218.31/218.66 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I8_J,axiom,
% 218.31/218.66 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I7_J,axiom,
% 218.31/218.66 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__atLeastAtMostR2,axiom,
% 218.31/218.66 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_d_2) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Int__atLeastAtMostL2,axiom,
% 218.31/218.66 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_c_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_b_2) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I3_J,axiom,
% 218.31/218.66 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I10_J,axiom,
% 218.31/218.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I1_J,axiom,
% 218.31/218.66 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I6_J,axiom,
% 218.31/218.66 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_ivl__disj__int_I5_J,axiom,
% 218.31/218.66 ! [V_u_2,V_l_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_compl__unique,axiom,
% 218.31/218.66 ! [V_y,V_x,T_a] :
% 218.31/218.66 ( class_Lattices_Oboolean__algebra(T_a)
% 218.31/218.66 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 218.31/218.66 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 218.31/218.66 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__Un__Int,axiom,
% 218.31/218.66 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__Un__Int,axiom,
% 218.31/218.66 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod_Ounion__inter,axiom,
% 218.31/218.66 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__Un__Int,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card_Ounion__inter,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__Diff__subset__Int,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__restrict__set,axiom,
% 218.31/218.66 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_quotient__disj,axiom,
% 218.31/218.66 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => ( V_X_2 = V_Y_2
% 218.31/218.66 | 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_atMost__Int__atLeast,axiom,
% 218.31/218.66 ! [V_na_2,T_b] :
% 218.31/218.66 ( class_Orderings_Oorder(T_b)
% 218.31/218.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_na_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_na_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_na_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__one_Ounion__inter,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__one_Ounion__disjoint,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__Un__disjoint,axiom,
% 218.31/218.66 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__Un,axiom,
% 218.31/218.66 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Oab__group__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__Un__disjoint,axiom,
% 218.31/218.66 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod_Ounion__disjoint,axiom,
% 218.31/218.66 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__Un__disjoint,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Sup__fin_Ounion__inter,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min_Ounion__disjoint,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Min_Ounion__inter,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max_Ounion__inter,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Max_Ounion__disjoint,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Orderings_Olinorder(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_congruent2D,axiom,
% 218.31/218.66 ! [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] :
% 218.31/218.66 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 218.31/218.66 => ( 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))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__Un__nat,axiom,
% 218.31/218.66 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_congruentD,axiom,
% 218.31/218.66 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 218.31/218.66 => ( 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))
% 218.31/218.66 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_congruent2__implies__congruent__UN,axiom,
% 218.31/218.66 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 218.31/218.66 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 218.31/218.66 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UN__equiv__class__inject,axiom,
% 218.31/218.66 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 218.31/218.66 => ( 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)
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.66 => ! [B_y] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 218.31/218.66 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 218.31/218.66 => 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)) ) ) )
% 218.31/218.66 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UN__equiv__class__type2,axiom,
% 218.31/218.66 ! [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] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 218.31/218.66 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 218.31/218.66 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => ( ! [B_x1] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 218.31/218.66 => ! [B_x2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 218.31/218.66 => 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)) ) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_UN__equiv__class__type,axiom,
% 218.31/218.66 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__nat__def,axiom,
% 218.31/218.66 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf__Int__eq2,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card_Ounion__inter__neutral,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( ( ? [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)))
% 218.31/218.66 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__Un,axiom,
% 218.31/218.66 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Fields_Ofield(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 218.31/218.66 => 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))) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Integ__def,axiom,
% 218.31/218.66 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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf2I,axiom,
% 218.31/218.66 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf2E,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 218.31/218.66 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf2D1,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inf2D2,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Rep__Integ,axiom,
% 218.31/218.66 ! [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)) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 218.31/218.66 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setprod__Un__one,axiom,
% 218.31/218.66 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 218.31/218.66 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum__Un__zero,axiom,
% 218.31/218.66 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Inf__fin_Oremove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 218.31/218.66 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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)))))) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_equiv__imp__dvd__card,axiom,
% 218.31/218.66 ! [V_k_2,V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.66 => ( ! [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),B_x))) )
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Inf__fin_Osingleton,axiom,
% 218.31/218.66 ! [V_x_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => 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 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_sup__Inf__absorb,axiom,
% 218.31/218.66 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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 ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Inf__fin_Oin__idem,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Inf__fin_Osubset__idem,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.66 => 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) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Inf__fin_Ounion__idem,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Inf__le__Sup,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Inf__fin_Oinsert,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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 )
% 218.31/218.66 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 218.31/218.66 => 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)))))) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Inf__fin_Ounion__inter,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_Inf__fin_Oclosed,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ( class_Lattices_Olattice(T_b)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( ! [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))))))
% 218.31/218.66 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_equivp__equiv,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 218.31/218.66 <=> 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__quotient__disjoint,axiom,
% 218.31/218.66 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( 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)
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__empty,axiom,
% 218.31/218.66 ! [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))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__uminus,axiom,
% 218.31/218.66 ! [V_A_2,T_b] :
% 218.31/218.66 ( class_Groups_Oordered__ab__group__add(T_b)
% 218.31/218.66 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__Int,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__eq,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.66 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 218.31/218.66 <=> V_x_2 = V_y_2 ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_injD,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.66 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 218.31/218.66 => V_x_2 = V_y_2 ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__fun,axiom,
% 218.31/218.66 ! [T_d,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.66 => 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_equivp__transp,axiom,
% 218.31/218.66 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_equivp__symp,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 218.31/218.66 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_equivp__reflp,axiom,
% 218.31/218.66 ! [V_x_2,V_R_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 218.31/218.66 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_equivp__def,axiom,
% 218.31/218.66 ! [V_R_2,T_b] :
% 218.31/218.66 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 218.31/218.66 <=> ! [B_x,B_y] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 218.31/218.66 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_identity__equivp,axiom,
% 218.31/218.66 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__diff,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__id2,axiom,
% 218.31/218.66 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__def,axiom,
% 218.31/218.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 <=> ! [B_x] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.66 => ! [B_xa] :
% 218.31/218.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 218.31/218.66 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 218.31/218.66 => B_x = B_xa ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_subset__inj__on,axiom,
% 218.31/218.66 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.66 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__contraD,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 => ( V_x_2 != V_y_2
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 218.31/218.66 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__iff,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 218.31/218.66 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 218.31/218.66 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__onD,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 218.31/218.66 => V_x_2 = V_y_2 ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_finite__imageD,axiom,
% 218.31/218.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 218.31/218.66 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 218.31/218.66 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__image__eq__iff,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.66 => ( 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)
% 218.31/218.66 <=> V_A_2 = V_B_2 ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 => ( 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)
% 218.31/218.66 <=> V_A_2 = V_B_2 ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__image,axiom,
% 218.31/218.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 => 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) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__strict__subset,axiom,
% 218.31/218.66 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.66 => 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))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__image__mem__iff,axiom,
% 218.31/218.66 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.66 => ( 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)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_range__ex1__eq,axiom,
% 218.31/218.66 ! [V_b_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.66 => ( 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)))))
% 218.31/218.66 <=> ? [B_x] :
% 218.31/218.66 ( V_b_2 = hAPP(V_f_2,B_x)
% 218.31/218.66 & ! [B_y] :
% 218.31/218.66 ( V_b_2 = hAPP(V_f_2,B_y)
% 218.31/218.66 => B_y = B_x ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__iff__surj,axiom,
% 218.31/218.66 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 218.31/218.66 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.66 => ( ? [B_f] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 218.31/218.66 & 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)) )
% 218.31/218.66 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_endo__inj__surj,axiom,
% 218.31/218.66 ! [V_f_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 218.31/218.66 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_finite__surj__inj,axiom,
% 218.31/218.66 ! [V_f_2,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( 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)))
% 218.31/218.66 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_finite__UNIV__surj__inj,axiom,
% 218.31/218.66 ! [V_f_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_finite__UNIV__inj__surj,axiom,
% 218.31/218.66 ! [V_f_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 218.31/218.66 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__image__subset__iff,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.66 => ( 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)))
% 218.31/218.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__image__Int,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_image__Int,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__iff__eq__card,axiom,
% 218.31/218.66 ! [V_f_2,T_c,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 <=> 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_eq__card__imp__inj__on,axiom,
% 218.31/218.66 ! [V_f_2,T_c,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( 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)
% 218.31/218.66 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__image__set__diff,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_image__set__diff,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_pigeonhole,axiom,
% 218.31/218.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( 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)))
% 218.31/218.66 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__fun__updI,axiom,
% 218.31/218.66 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__singleton,axiom,
% 218.31/218.66 ! [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))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__bij__eq,axiom,
% 218.31/218.66 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 => ( 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))
% 218.31/218.66 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 218.31/218.66 => ( 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))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 218.31/218.66 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__image__Compl__subset,axiom,
% 218.31/218.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.66 => 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)))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__insert,axiom,
% 218.31/218.66 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 218.31/218.66 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 & ~ 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))))))) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__Un,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( 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))
% 218.31/218.66 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 218.31/218.66 & 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__iff__card__le,axiom,
% 218.31/218.66 ! [V_B_2,T_c,V_A_2,T_b] :
% 218.31/218.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 218.31/218.66 => ( ? [B_f] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 218.31/218.66 & 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)) )
% 218.31/218.66 <=> 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_card__inj__on__le,axiom,
% 218.31/218.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 => ( 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))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 218.31/218.66 => 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))) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_quotient__diff1,axiom,
% 218.31/218.66 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 218.31/218.66 ( 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)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_type__definition__Integ,axiom,
% 218.31/218.66 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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_the__inv__into__into,axiom,
% 218.31/218.66 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fold__Un__disjoint,axiom,
% 218.31/218.66 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.66 => ( 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))
% 218.31/218.66 => 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)) ) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__add__nat,axiom,
% 218.31/218.66 ! [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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__Suc,axiom,
% 218.31/218.66 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fold__image__empty,axiom,
% 218.31/218.66 ! [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 ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__of__nat,axiom,
% 218.31/218.66 ! [T_b] :
% 218.31/218.66 ( class_Nat_Osemiring__char__0(T_b)
% 218.31/218.66 => 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))) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__int,axiom,
% 218.31/218.66 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))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_swap__inj__on,axiom,
% 218.31/218.66 ! [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) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 218.31/218.66 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_the__inv__into__f__eq,axiom,
% 218.31/218.66 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_the__inv__into__f__f,axiom,
% 218.31/218.66 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.66 => 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 ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_the__inv__f__f,axiom,
% 218.31/218.66 ! [V_x_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.66 => 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 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_the__inv__into__onto,axiom,
% 218.31/218.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 => 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 ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_inj__on__the__inv__into,axiom,
% 218.31/218.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.66 => 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)) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fold__image__distrib,axiom,
% 218.31/218.66 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => 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)) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_the__inv__into__def,axiom,
% 218.31/218.66 ! [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))) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_fold__image__insert,axiom,
% 218.31/218.66 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Oab__semigroup__mult(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.66 => 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)) ) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum_Oeq__fold,axiom,
% 218.31/218.66 ! [V_g_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => 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) ) ) ).
% 218.31/218.66
% 218.31/218.66 fof(fact_setsum_OF__eq,axiom,
% 218.31/218.66 ! [V_g_2,V_A_2,T_b,T_c] :
% 218.31/218.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.66 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => 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) )
% 218.31/218.66 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.66 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setprod_OF__eq,axiom,
% 218.31/218.67 ! [V_g_2,V_A_2,T_b,T_c] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.67 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) )
% 218.31/218.67 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setprod_Oeq__fold,axiom,
% 218.31/218.67 ! [V_g_2,V_A_2,T_b,T_c] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_f__the__inv__into__f,axiom,
% 218.31/218.67 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 218.31/218.67 => 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 ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__image__Un__Int,axiom,
% 218.31/218.67 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.67 => 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))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_image__eq__fold__image,axiom,
% 218.31/218.67 ! [V_f_2,T_c,V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_card__def,axiom,
% 218.31/218.67 ! [V_A_2,T_b] :
% 218.31/218.67 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) )
% 218.31/218.67 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_card_Oeq__fold__g,axiom,
% 218.31/218.67 ! [V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_type__definition_ORep__range,axiom,
% 218.31/218.67 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 218.31/218.67 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 218.31/218.67 => 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 ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_type__definition_OAbs__image,axiom,
% 218.31/218.67 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 218.31/218.67 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 218.31/218.67 => 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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_comm__monoid__big_OF__eq,axiom,
% 218.31/218.67 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 218.31/218.67 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.67 => 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) )
% 218.31/218.67 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.67 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_type__definition_ORep__inverse,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 218.31/218.67 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 218.31/218.67 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_type__definition_ORep__inject,axiom,
% 218.31/218.67 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 218.31/218.67 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 218.31/218.67 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 218.31/218.67 <=> V_x_2 = V_y_2 ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 218.31/218.67 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 218.31/218.67 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.67 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_type__definition__code__numeral,axiom,
% 218.31/218.67 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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_type__definition_OAbs__inject,axiom,
% 218.31/218.67 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 218.31/218.67 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 218.31/218.67 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 218.31/218.67 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_type__definition_OAbs__inverse,axiom,
% 218.31/218.67 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 218.31/218.67 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 218.31/218.67 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_type__definition_ORep,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 218.31/218.67 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__image__Un__one,axiom,
% 218.31/218.67 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( 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)))
% 218.31/218.67 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 218.31/218.67 => 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)) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_inj__vimage__singleton,axiom,
% 218.31/218.67 ! [V_a_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.67 => 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))))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Inf__fin_Ohom__commute,axiom,
% 218.31/218.67 ! [V_N_2,V_h_2,T_b] :
% 218.31/218.67 ( class_Lattices_Olattice(T_b)
% 218.31/218.67 => ( ! [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))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 218.31/218.67 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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)) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimageI,axiom,
% 218.31/218.67 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 218.31/218.67 ( hAPP(V_f_2,V_a_2) = V_b_2
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimageI2,axiom,
% 218.31/218.67 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimageD,axiom,
% 218.31/218.67 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__eq,axiom,
% 218.31/218.67 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 218.31/218.67 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__empty,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__Un,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__mono,axiom,
% 218.31/218.67 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.67 => 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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__ident,axiom,
% 218.31/218.67 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__Compl,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__code,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 218.31/218.67 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__UN,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__UNIV,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__Int,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__Diff,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_image__vimage__subset,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_surj__image__vimage__eq,axiom,
% 218.31/218.67 ! [V_A_2,V_f_2,T_b,T_c] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => 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 ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__singleton__eq,axiom,
% 218.31/218.67 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 218.31/218.67 ( 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))))))
% 218.31/218.67 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__insert,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__vimageD,axiom,
% 218.31/218.67 ! [V_F_2,V_h_2,T_c,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 218.31/218.67 => ( 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))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__subsetD,axiom,
% 218.31/218.67 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => ( 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))
% 218.31/218.67 => 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))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_image__vimage__eq,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__vimageI,axiom,
% 218.31/218.67 ! [V_h_2,T_c,V_F_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 218.31/218.67 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_inj__vimage__image__eq,axiom,
% 218.31/218.67 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.67 => 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 ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__const,axiom,
% 218.31/218.67 ! [T_c,V_A_2,V_c_2,T_b] :
% 218.31/218.67 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.67 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 218.31/218.67 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.67 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__eq__UN,axiom,
% 218.31/218.67 ! [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))))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__subsetI,axiom,
% 218.31/218.67 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.67 => ( 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)))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__if,axiom,
% 218.31/218.67 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 218.31/218.67 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.67 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 218.31/218.67 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 218.31/218.67 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 218.31/218.67 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 218.31/218.67 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 218.31/218.67 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 218.31/218.67 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) )
% 218.31/218.67 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 218.31/218.67 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 218.31/218.67 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 218.31/218.67 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.67 & class_Groups_Ocomm__monoid__mult(T_b) )
% 218.31/218.67 => ( V_A_2 = V_B_2
% 218.31/218.67 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 218.31/218.67 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 218.31/218.67 => 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) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__graph__permute__diff,axiom,
% 218.31/218.67 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 218.31/218.67 ( class_Groups_Oab__semigroup__mult(T_b)
% 218.31/218.67 => ( 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))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 218.31/218.67 => 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)) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_accp__acc__eq,axiom,
% 218.31/218.67 ! [V_x_2,V_r_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__graph__imp__finite,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_empty__fold__graphE,axiom,
% 218.31/218.67 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => V_x_2 = V_z_2 ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__graph_OemptyI,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__graph_OinsertI,axiom,
% 218.31/218.67 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 218.31/218.67 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 218.31/218.67 => 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))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_acc__subset,axiom,
% 218.31/218.67 ! [V_R2_2,V_R1_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => 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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__graph__insert__swap,axiom,
% 218.31/218.67 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 218.31/218.67 ( class_Groups_Oab__semigroup__mult(T_b)
% 218.31/218.67 => ( 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))
% 218.31/218.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 218.31/218.67 => 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))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_acc_Osimps,axiom,
% 218.31/218.67 ! [V_r_2,V_a_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 218.31/218.67 <=> ! [B_x] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_acc__downward,axiom,
% 218.31/218.67 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 218.31/218.67 => ( 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))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Diff1__fold__graph,axiom,
% 218.31/218.67 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => 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))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1Set_Ointros,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 218.31/218.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_max__extp_Oequations,axiom,
% 218.31/218.67 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 218.31/218.67 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 218.31/218.67 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 218.31/218.67 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 & ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 218.31/218.67 => ? [B_xa] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 218.31/218.67 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_max__ext_Ointros,axiom,
% 218.31/218.67 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 218.31/218.67 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 218.31/218.67 => ? [B_xa] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 218.31/218.67 & 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)) ) )
% 218.31/218.67 => 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))) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_empty__fold1SetE,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1Set__nonempty,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 218.31/218.67 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1Set__sing,axiom,
% 218.31/218.67 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 <=> V_a_2 = V_b_2 ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1Set_Oequations,axiom,
% 218.31/218.67 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 <=> ? [B_a,B_A] :
% 218.31/218.67 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 218.31/218.67 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 218.31/218.67 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_insert__fold1SetE,axiom,
% 218.31/218.67 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => ~ ! [B_a,B_A] :
% 218.31/218.67 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_image__split__eq__Sigma,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_SigmaI,axiom,
% 218.31/218.67 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 218.31/218.67 => 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))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Sigma__Diff__distrib1,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Times__Diff__distrib1,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Sigma__Diff__distrib2,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Times__eq__cancel2,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 218.31/218.67 => ( 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))
% 218.31/218.67 <=> V_A_2 = V_B_2 ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Sigma__empty1,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_card__cartesian__product,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setsum__cartesian__product,axiom,
% 218.31/218.67 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.67 => 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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Sigma__empty2,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Times__empty,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Compl__Times__UNIV1,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Compl__Times__UNIV2,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setprod__cartesian__product,axiom,
% 218.31/218.67 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__mult(T_b)
% 218.31/218.67 => 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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Sigma__Un__distrib2,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Times__Un__distrib1,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Sigma__Un__distrib1,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_swap__product,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__cartesian__product,axiom,
% 218.31/218.67 ! [V_B_2,T_c,V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 218.31/218.67 => 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)))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_equiv__type,axiom,
% 218.31/218.67 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.67 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.67 => 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)))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Sigma__Int__distrib1,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Times__Int__distrib1,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Sigma__Int__distrib2,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Id__on__subset__Times,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_UNIV__Times__UNIV,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_SigmaE2,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.67 ( 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)))
% 218.31/218.67 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.67 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_SigmaD2,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.67 ( 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)))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_SigmaD1,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.67 ( 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)))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_mem__Sigma__iff,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.67 ( 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)))
% 218.31/218.67 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.67 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_card__cartesian__product__singleton,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Times__subset__cancel2,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 218.31/218.67 => ( 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))))
% 218.31/218.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Image__subset,axiom,
% 218.31/218.67 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 218.31/218.67 ( 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))))
% 218.31/218.67 => 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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__cartesian__productD2,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.67 ( 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))))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__cartesian__productD1,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.67 ( 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))))
% 218.31/218.67 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fst__image__times,axiom,
% 218.31/218.67 ! [V_A_2,T_c,T_b,V_B_2] :
% 218.31/218.67 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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)) )
% 218.31/218.67 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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 ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_snd__image__times,axiom,
% 218.31/218.67 ! [V_B_2,T_c,T_b,V_A_2] :
% 218.31/218.67 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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)) )
% 218.31/218.67 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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 ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_insert__times__insert,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__equiv__class,axiom,
% 218.31/218.67 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( 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))))
% 218.31/218.67 => ( 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)))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_UN__Times__distrib,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Sigma__def,axiom,
% 218.31/218.67 ! [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))))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__quotient,axiom,
% 218.31/218.67 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( 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))))
% 218.31/218.67 => 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))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 218.31/218.67 ! [V_A_2,V_I_2,T_c,T_b] :
% 218.31/218.67 ? [B_f] :
% 218.31/218.67 ( 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))
% 218.31/218.67 & 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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__image__Sigma,axiom,
% 218.31/218.67 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__mult(T_d)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__SigmaI,axiom,
% 218.31/218.67 ! [V_B_2,T_c,V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ! [B_a] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 218.31/218.67 => 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))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setprod__Sigma,axiom,
% 218.31/218.67 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__mult(T_d)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setsum__Sigma,axiom,
% 218.31/218.67 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__add(T_d)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_card__SigmaI,axiom,
% 218.31/218.67 ! [V_B_2,T_c,V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_SigmaE,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 218.31/218.67 => ~ ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => ! [B_y] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 218.31/218.67 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_map__pair__surj,axiom,
% 218.31/218.67 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => ( 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))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_map__pair__inj__on,axiom,
% 218.31/218.67 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.67 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 218.31/218.67 => 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))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_map__pair__imageI,axiom,
% 218.31/218.67 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => 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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_map__pair__simp,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fst__map__pair,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_map__pair__ident,axiom,
% 218.31/218.67 ! [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 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_snd__prod__fun,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_map__pair__def,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_map__pair__surj__on,axiom,
% 218.31/218.67 ! [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] :
% 218.31/218.67 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 218.31/218.67 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_prod__fun__imageE,axiom,
% 218.31/218.67 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2)))
% 218.31/218.67 => ~ ! [B_x,B_y] :
% 218.31/218.67 ( V_c_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 218.31/218.67 => ~ 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_refl__on__def,axiom,
% 218.31/218.67 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.67 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 218.31/218.67 <=> ( 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))))
% 218.31/218.67 & ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1__Un,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Groups_Oab__semigroup__mult(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.67 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( 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))
% 218.31/218.67 => 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)) ) ) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_refl__on__Id__on,axiom,
% 218.31/218.67 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1__singleton,axiom,
% 218.31/218.67 ! [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 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1__singleton__def,axiom,
% 218.31/218.67 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 218.31/218.67 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 218.31/218.67 => 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 ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_refl__on__empty,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding__one_Oeq__fold,axiom,
% 218.31/218.67 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_refl__on__Un,axiom,
% 218.31/218.67 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 218.31/218.67 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 218.31/218.67 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_refl__on__Int,axiom,
% 218.31/218.67 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 218.31/218.67 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 218.31/218.67 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1__def,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Sup__fin_OF__eq,axiom,
% 218.31/218.67 ! [V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Olattice(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Inf__fin_OF__eq,axiom,
% 218.31/218.67 ! [V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Olattice(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Min_OF__eq,axiom,
% 218.31/218.67 ! [V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Max_OF__eq,axiom,
% 218.31/218.67 ! [V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 218.31/218.67 ! [V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 218.31/218.67 ! [V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_refl__onD2,axiom,
% 218.31/218.67 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 218.31/218.67 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 218.31/218.67 => ( hBOOL(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))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_refl__onD1,axiom,
% 218.31/218.67 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 218.31/218.67 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 218.31/218.67 => ( hBOOL(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))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_refl__onD,axiom,
% 218.31/218.67 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 218.31/218.67 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1__belowI,axiom,
% 218.31/218.67 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Osemilattice__inf(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_below__fold1__iff,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Osemilattice__inf(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( 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)))
% 218.31/218.67 <=> ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_Ofold1__belowI,axiom,
% 218.31/218.67 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1__insert__idem,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( 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)))
% 218.31/218.67 <=> ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1__below__iff,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( 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))
% 218.31/218.67 <=> ? [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1__Un2,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.67 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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)) ) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_strict__below__fold1__iff,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( 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)))
% 218.31/218.67 <=> ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1__strict__below__iff,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( 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))
% 218.31/218.67 <=> ? [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1__insert,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Groups_Oab__semigroup__mult(T_b)
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => 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)) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1__antimono,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.67 => 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))) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_semilattice__big_OF__eq,axiom,
% 218.31/218.67 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 218.31/218.67 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_refl__onI,axiom,
% 218.31/218.67 ! [V_A_2,V_r_2,T_b] :
% 218.31/218.67 ( 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))))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => 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)) )
% 218.31/218.67 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1__in,axiom,
% 218.31/218.67 ! [V_A_2,T_b] :
% 218.31/218.67 ( class_Groups_Oab__semigroup__mult(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( ! [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))))))
% 218.31/218.67 => 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)) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_hom__fold1__commute,axiom,
% 218.31/218.67 ! [V_N_2,V_h_2,T_b] :
% 218.31/218.67 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 218.31/218.67 => ( ! [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))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 218.31/218.67 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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)) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 218.31/218.67 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 218.31/218.67 => ( ! [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))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 218.31/218.67 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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)) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setprod__pos__nat,axiom,
% 218.31/218.67 ! [V_f_2,V_S_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 218.31/218.67 => 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))) )
% 218.31/218.67 => 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))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Rep__Integ__cases,axiom,
% 218.31/218.67 ! [V_y_2] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 218.31/218.67 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Rep__Integ__induct,axiom,
% 218.31/218.67 ! [V_P_2,V_y_2] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 218.31/218.67 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x)))
% 218.31/218.67 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm__idem__remove,axiom,
% 218.31/218.67 ! [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))))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 218.31/218.67 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 218.31/218.67 => 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) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 218.31/218.67 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 218.31/218.67 => 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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm__idem__insert,axiom,
% 218.31/218.67 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm__idem,axiom,
% 218.31/218.67 ! [T_b] :
% 218.31/218.67 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 218.31/218.67 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm__idem__inf,axiom,
% 218.31/218.67 ! [T_b] :
% 218.31/218.67 ( class_Lattices_Osemilattice__inf(T_b)
% 218.31/218.67 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm__idem__sup,axiom,
% 218.31/218.67 ! [T_b] :
% 218.31/218.67 ( class_Lattices_Osemilattice__sup(T_b)
% 218.31/218.67 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 218.31/218.67 ! [T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 218.31/218.67 ! [T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( 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)))
% 218.31/218.67 => hAPP(V_g_2,B_x) = V_z_2 )
% 218.31/218.67 => 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)) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_card__less__Suc,axiom,
% 218.31/218.67 ! [V_i_2,V_M_2] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 218.31/218.67 => 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))))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_card__less,axiom,
% 218.31/218.67 ! [V_i_2,V_M_2] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 218.31/218.67 => 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) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_CollectI,axiom,
% 218.31/218.67 ! [T_b,V_a_2,V_P_2] :
% 218.31/218.67 ( hBOOL(hAPP(V_P_2,V_a_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__Collect__conjI,axiom,
% 218.31/218.67 ! [V_Q_2,V_P_2,T_b] :
% 218.31/218.67 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 218.31/218.67 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) )
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2)),V_Q_2)))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__Collect__less__nat,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__Collect__le__nat,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Collect__split,axiom,
% 218.31/218.67 ! [V_Q_2,V_P_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Q_2))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_SetCompr__Sigma__eq,axiom,
% 218.31/218.67 ! [V_Q_2,V_P_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Q_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Collect__neg__eq,axiom,
% 218.31/218.67 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__Collect__eq,axiom,
% 218.31/218.67 ! [V_P_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_P_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_P_2),V_f_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Collect__conj__eq,axiom,
% 218.31/218.67 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_UNIV__def,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Collect__def,axiom,
% 218.31/218.67 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__Collect__disjI,axiom,
% 218.31/218.67 ! [V_Q_2,V_P_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_P_2)),V_Q_2))))
% 218.31/218.67 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 218.31/218.67 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Collect__disj__eq,axiom,
% 218.31/218.67 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Collect__empty__eq,axiom,
% 218.31/218.67 ! [V_P_2,T_b] :
% 218.31/218.67 ( hAPP(c_Set_OCollect(T_b),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_empty__Collect__eq,axiom,
% 218.31/218.67 ! [V_P_2,T_b] :
% 218.31/218.67 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_P_2)
% 218.31/218.67 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_empty__def,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_insert__Collect,axiom,
% 218.31/218.67 ! [V_P_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_P_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Collect__mem__eq,axiom,
% 218.31/218.67 ! [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 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_mem__Collect__eq,axiom,
% 218.31/218.67 ! [V_P_2,V_a_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 218.31/218.67 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_CollectD,axiom,
% 218.31/218.67 ! [V_P_2,V_a_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 218.31/218.67 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_CollectE,axiom,
% 218.31/218.67 ! [V_P_2,V_a_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 218.31/218.67 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_insert__compr__raw,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_insert__compr,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Un__def,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Int__Collect,axiom,
% 218.31/218.67 ! [V_P_2,V_A_2,V_x_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2))))
% 218.31/218.67 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Int__def,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Collect__conv__if,axiom,
% 218.31/218.67 ! [T_b,V_a_2,V_P_2] :
% 218.31/218.67 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 218.31/218.67 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 218.31/218.67 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 218.31/218.67 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Collect__conv__if2,axiom,
% 218.31/218.67 ! [T_b,V_a_2,V_P_2] :
% 218.31/218.67 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 218.31/218.67 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 218.31/218.67 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 218.31/218.67 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_singleton__conv,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_singleton__conv2,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_set__diff__eq,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__Collect__not,axiom,
% 218.31/218.67 ! [V_P_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2))))
% 218.31/218.67 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_insert__def,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Compl__eq,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__def,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Collect__imp__eq,axiom,
% 218.31/218.67 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2))),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__M__bounded__by__nat,axiom,
% 218.31/218.67 ! [V_i_2,V_P_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_P_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setsum__setsum__restrict,axiom,
% 218.31/218.67 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__add(T_d)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_if__image__distrib,axiom,
% 218.31/218.67 ! [V_S_2,V_g_2,V_f_2,V_P_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_P_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_P_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_P_2))))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_nat__seg__image__imp__finite,axiom,
% 218.31/218.67 ! [V_na_2,V_f_2,T_b,V_A_2] :
% 218.31/218.67 ( 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_na_2)))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setsum__restrict__set_H,axiom,
% 218.31/218.67 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setsum__image__gen,axiom,
% 218.31/218.67 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Image__singleton,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setsum__cases,axiom,
% 218.31/218.67 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_b,T_c] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_P_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2))))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_card__less__Suc2,axiom,
% 218.31/218.67 ! [V_i_2,V_M_2] :
% 218.31/218.67 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 218.31/218.67 => 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))))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setsum__multicount,axiom,
% 218.31/218.67 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 218.31/218.67 => 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 )
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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))))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.67 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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))))))) ) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__Collect__subsets,axiom,
% 218.31/218.67 ! [V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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)))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Pow__Compl,axiom,
% 218.31/218.67 ! [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))))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Pow__def,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__image__set,axiom,
% 218.31/218.67 ! [V_f_2,T_c,V_P_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_P_2))))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__Collect__bounded__ex,axiom,
% 218.31/218.67 ! [V_Q_2,T_c,V_P_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2)))))
% 218.31/218.67 <=> ! [B_y] :
% 218.31/218.67 ( hBOOL(hAPP(V_P_2,B_y))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_inj__graph,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 218.31/218.67 ! [V_P_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__psubset__def,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_inv__image__def,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 218.31/218.67 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_P_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 218.31/218.67 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_P_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_P_2),c_Int_Onat)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_add__Max__commute,axiom,
% 218.31/218.67 ! [V_k_2,V_N_2,T_b] :
% 218.31/218.67 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 218.31/218.67 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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))))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_add__Min__commute,axiom,
% 218.31/218.67 ! [V_k_2,V_N_2,T_b] :
% 218.31/218.67 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 218.31/218.67 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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))))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_sup__Inf2__distrib,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Odistrib__lattice(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.67 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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))))))) ) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_sup__Inf1__distrib,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Odistrib__lattice(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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))))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_inf__Sup1__distrib,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Odistrib__lattice(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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))))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_inf__Sup2__distrib,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Odistrib__lattice(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.67 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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))))))) ) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.67 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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))))))) ) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 => 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))))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Nitpick_Oprod__def,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_int__ge__less__than__def,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_int__ge__less__than2__def,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_reflp__def,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( c_Predicate_Oreflp(T_b,V_r_2)
% 218.31/218.67 <=> 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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 218.31/218.67 ( class_Rings_Osemiring__0(T_d)
% 218.31/218.67 => ( 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)))
% 218.31/218.67 => 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))))))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setsum__multicount__gen,axiom,
% 218.31/218.67 ! [V_k_2,V_R_2,V_ta_2,T_c,V_s_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_ta_2))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_ta_2))
% 218.31/218.67 => 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) )
% 218.31/218.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_ta_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_ta_2) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_inj__on__id,axiom,
% 218.31/218.67 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_of__int__eq__id,axiom,
% 218.31/218.67 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_id__apply,axiom,
% 218.31/218.67 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 218.31/218.67
% 218.31/218.67 fof(fact_id__def,axiom,
% 218.31/218.67 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_apsnd__id,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_apfst__id,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_reflpE,axiom,
% 218.31/218.67 ! [V_x_2,V_r_2,T_b] :
% 218.31/218.67 ( c_Predicate_Oreflp(T_b,V_r_2)
% 218.31/218.67 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__id,axiom,
% 218.31/218.67 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_map__pair_Oid,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_map__pair_Oidentity,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_image__id,axiom,
% 218.31/218.67 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_surj__id,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_apsnd__def,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_apfst__def,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_split__Pair,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setsum__reindex__id,axiom,
% 218.31/218.67 ! [V_B_2,V_f_2,T_b,T_c] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.67 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setprod__reindex__id,axiom,
% 218.31/218.67 ! [V_B_2,V_f_2,T_b,T_c] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.67 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__conv__nat__seg__image,axiom,
% 218.31/218.67 ! [V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 <=> ? [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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_rel__comp__def,axiom,
% 218.31/218.67 ! [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))))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Range__Collect__split,axiom,
% 218.31/218.67 ! [V_P_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_P_2))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_rel__compI,axiom,
% 218.31/218.67 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_b_2),V_c_2)),V_s_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_c_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_RangeI,axiom,
% 218.31/218.67 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_rel__comp__UNION__distrib2,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_rel__comp__UNION__distrib,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_O__assoc,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_rel__comp__empty2,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_rel__comp__empty1,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_rel__comp__distrib2,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_rel__comp__distrib,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_rel__comp__mono,axiom,
% 218.31/218.67 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => ( 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))
% 218.31/218.67 => 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))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Range__Id__on,axiom,
% 218.31/218.67 ! [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 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_union__comp__emptyL,axiom,
% 218.31/218.67 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => ( 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))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_union__comp__emptyR,axiom,
% 218.31/218.67 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => ( 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))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Range__empty,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Range__empty__iff,axiom,
% 218.31/218.67 ! [V_r_2,T_b,T_c] :
% 218.31/218.67 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_rel__comp__subset__Sigma,axiom,
% 218.31/218.67 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 218.31/218.67 ( 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))))
% 218.31/218.67 => ( 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))))
% 218.31/218.67 => 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)))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Range__Un__eq,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__Range,axiom,
% 218.31/218.67 ! [V_r_2,T_c,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_snd__eq__Range,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Range__iff,axiom,
% 218.31/218.67 ! [V_r_2,T_c,V_a_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 218.31/218.67 <=> ? [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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Range__insert,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Range__Int__subset,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Range__Diff__subset,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_max__ext__compat,axiom,
% 218.31/218.67 ! [V_S_2,V_R_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => 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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__ext__compat,axiom,
% 218.31/218.67 ! [V_S_2,V_R_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => 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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_RangeP__Range__eq,axiom,
% 218.31/218.67 ! [V_x_2,V_r_2,T_c,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_RangeE,axiom,
% 218.31/218.67 ! [V_r_2,T_c,V_b_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 218.31/218.67 => ~ ! [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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_pred__comp__rel__comp__eq,axiom,
% 218.31/218.67 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 <=> 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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_pred__comp_Ointros,axiom,
% 218.31/218.67 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a_2),V_c_2)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_RangeP_Ointros,axiom,
% 218.31/218.67 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 218.31/218.67 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_RangeP_Oequations,axiom,
% 218.31/218.67 ! [V_a2_2,V_r_2,T_c,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 218.31/218.67 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_pred__comp_Oequations,axiom,
% 218.31/218.67 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 <=> ? [B_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 218.31/218.67 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_reduction__pairI,axiom,
% 218.31/218.67 ! [V_S_2,V_R_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_R_2)
% 218.31/218.67 => ( 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))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Domain__Collect__split,axiom,
% 218.31/218.67 ! [V_P_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_P_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_pigeonhole__infinite,axiom,
% 218.31/218.67 ! [V_f_2,T_c,V_A_2,T_b] :
% 218.31/218.67 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 218.31/218.67 => ? [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 & ~ 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)))))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__less__than,axiom,
% 218.31/218.67 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__empty,axiom,
% 218.31/218.67 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__inv__image,axiom,
% 218.31/218.67 ! [V_f_2,T_c,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__lex__prod,axiom,
% 218.31/218.67 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 218.31/218.67 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 218.31/218.67 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__measure,axiom,
% 218.31/218.67 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_DomainI,axiom,
% 218.31/218.67 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__comp__self,axiom,
% 218.31/218.67 ! [V_R_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_R_2)
% 218.31/218.67 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__subset,axiom,
% 218.31/218.67 ! [V_p_2,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => ( 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))
% 218.31/218.67 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__ext__wf,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__not__refl,axiom,
% 218.31/218.67 ! [V_a_2,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => ~ 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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__not__sym,axiom,
% 218.31/218.67 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => ( 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))
% 218.31/218.67 => ~ hBOOL(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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__asym,axiom,
% 218.31/218.67 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => ( 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))
% 218.31/218.67 => ~ hBOOL(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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__irrefl,axiom,
% 218.31/218.67 ! [V_a_2,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => ~ 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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__Int1,axiom,
% 218.31/218.67 ! [V_r_H_2,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => 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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__Int2,axiom,
% 218.31/218.67 ! [V_r_H_2,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => 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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__pair__less,axiom,
% 218.31/218.67 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_max__ext__wf,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Domain__Id__on,axiom,
% 218.31/218.67 ! [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 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__mlex,axiom,
% 218.31/218.67 ! [V_f_2,V_R_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_R_2)
% 218.31/218.67 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__finite__psubset,axiom,
% 218.31/218.67 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__less,axiom,
% 218.31/218.67 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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__int__ge__less__than2,axiom,
% 218.31/218.67 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__int__ge__less__than,axiom,
% 218.31/218.67 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__Un,axiom,
% 218.31/218.67 ! [V_s_2,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 218.31/218.67 => ( 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))
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__acc__iff,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_acc__wfD,axiom,
% 218.31/218.67 ! [V_x_2,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__no__loop,axiom,
% 218.31/218.67 ! [V_R_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__union__merge,axiom,
% 218.31/218.67 ! [V_S_2,V_R_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 <=> 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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Domain__empty,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Domain__empty__iff,axiom,
% 218.31/218.67 ! [V_r_2,T_c,T_b] :
% 218.31/218.67 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Domain__mono,axiom,
% 218.31/218.67 ! [V_s_2,V_r_2,T_c,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => 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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Domain__Un__eq,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__Domain,axiom,
% 218.31/218.67 ! [V_r_2,T_c,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fst__eq__Domain,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 <=> ~ ? [B_f] :
% 218.31/218.67 ! [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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wfE__pf,axiom,
% 218.31/218.67 ! [V_A_2,V_R_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_R_2)
% 218.31/218.67 => ( 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)))
% 218.31/218.67 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__union__compatible,axiom,
% 218.31/218.67 ! [V_S_2,V_R_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_R_2)
% 218.31/218.67 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 218.31/218.67 => ( 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))
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Domain__iff,axiom,
% 218.31/218.67 ! [V_r_2,T_c,V_a_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 218.31/218.67 <=> ? [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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf,axiom,
% 218.31/218.67 ! [T_b] :
% 218.31/218.67 ( class_Orderings_Owellorder(T_b)
% 218.31/218.67 => 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)))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Domain__insert,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_reduction__pair__def,axiom,
% 218.31/218.67 ! [V_P_2,T_b] :
% 218.31/218.67 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 218.31/218.67 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))
% 218.31/218.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_reduction__pair__lemma,axiom,
% 218.31/218.67 ! [V_S_2,V_R_2,V_P_2,T_b] :
% 218.31/218.67 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)))
% 218.31/218.67 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 218.31/218.67 => 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)) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Domain__Int__subset,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Domain__Diff__subset,axiom,
% 218.31/218.67 ! [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)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Field__def,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__map__pair__image,axiom,
% 218.31/218.67 ! [V_f_2,T_c,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_DomainP__Domain__eq,axiom,
% 218.31/218.67 ! [V_x_2,V_r_2,T_c,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__lenlex,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_DomainE,axiom,
% 218.31/218.67 ! [V_r_2,T_c,V_a_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 218.31/218.67 => ~ ! [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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_DomainP_Ointros,axiom,
% 218.31/218.67 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 218.31/218.67 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_DomainP_Oequations,axiom,
% 218.31/218.67 ! [V_a1_2,V_r_2,T_c,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 218.31/218.67 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_pred__nat__def,axiom,
% 218.31/218.67 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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__lex,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__lexn,axiom,
% 218.31/218.67 ! [V_na_2,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_lex__def,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_lexn_Osimps_I1_J,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__pred__nat,axiom,
% 218.31/218.67 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__same__fst,axiom,
% 218.31/218.67 ! [T_b,V_R_2,T_c,V_P_2] :
% 218.31/218.67 ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(V_P_2,B_x))
% 218.31/218.67 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 218.31/218.67 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__if__measure,axiom,
% 218.31/218.67 ! [T_b,V_g_2,V_f_2,V_P_2] :
% 218.31/218.67 ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(V_P_2,B_x))
% 218.31/218.67 => 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))) )
% 218.31/218.67 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wfP__def,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 218.31/218.67 <=> 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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wfP__empty,axiom,
% 218.31/218.67 ! [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))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_accp__wfPD,axiom,
% 218.31/218.67 ! [V_x_2,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 218.31/218.67 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wfP__accp__iff,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 218.31/218.67 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wfP__subset,axiom,
% 218.31/218.67 ! [V_p_2,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 218.31/218.67 => ( 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))
% 218.31/218.67 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__in__rel,axiom,
% 218.31/218.67 ! [V_R_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_R_2)
% 218.31/218.67 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wfP__wf__eq,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wfP__acyclicP,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 218.31/218.67 => 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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_refl__on__def_H,axiom,
% 218.31/218.67 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.67 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 218.31/218.67 <=> ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 218.31/218.67 => 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)) )
% 218.31/218.67 & ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Abs__Integ__induct,axiom,
% 218.31/218.67 ! [V_x_2,V_P_2] :
% 218.31/218.67 ( ! [B_y] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 218.31/218.67 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 218.31/218.67 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_ball__empty,axiom,
% 218.31/218.67 ! [V_P_2,T_b,B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 218.31/218.67 => hBOOL(hAPP(V_P_2,B_x)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__acyclic,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_acyclic__subset,axiom,
% 218.31/218.67 ! [V_r_2,V_s_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 218.31/218.67 => ( 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))
% 218.31/218.67 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Powp__def,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 218.31/218.67 <=> ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 218.31/218.67 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_congruent__def,axiom,
% 218.31/218.67 ! [V_f_2,V_r_2,T_c,T_b] :
% 218.31/218.67 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 218.31/218.67 <=> ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 218.31/218.67 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__acyclic__wf,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 218.31/218.67 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 218.31/218.67 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Nitpick_Owf_H__def,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 218.31/218.67 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 218.31/218.67 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 218.31/218.67 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Abs__Integ__cases,axiom,
% 218.31/218.67 ! [V_x_2] :
% 218.31/218.67 ~ ! [B_y] :
% 218.31/218.67 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 218.31/218.67 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__UN__I,axiom,
% 218.31/218.67 ! [V_B_2,T_c,V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ! [B_a] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 218.31/218.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 218.31/218.67 => 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))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_inj__on__diff__nat,axiom,
% 218.31/218.67 ! [V_k_2,V_N_2] :
% 218.31/218.67 ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 218.31/218.67 => 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) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wfP__SUP,axiom,
% 218.31/218.67 ! [T_b,V_r_2,T_c] :
% 218.31/218.67 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 218.31/218.67 => ( ! [B_i,B_j] :
% 218.31/218.67 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 218.31/218.67 => 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)) )
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_mem__splitI2,axiom,
% 218.31/218.67 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 218.31/218.67 ( ! [B_a,B_b] :
% 218.31/218.67 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_c_2),V_p_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_mem__splitE,axiom,
% 218.31/218.67 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),V_p_2)))
% 218.31/218.67 => ~ ! [B_x,B_y] :
% 218.31/218.67 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 218.31/218.67 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__Times,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Eps__split,axiom,
% 218.31/218.67 ! [V_P_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_id__o,axiom,
% 218.31/218.67 ! [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 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_o__id,axiom,
% 218.31/218.67 ! [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 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_o__eq__id__dest,axiom,
% 218.31/218.67 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 218.31/218.67 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_c_2)
% 218.31/218.67 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_exE__some,axiom,
% 218.31/218.67 ! [T_b,V_c_2,V_P_2] :
% 218.31/218.67 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 218.31/218.67 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_P_2)
% 218.31/218.67 => hBOOL(hAPP(V_P_2,V_c_2)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 218.31/218.67 ! [V_x_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 218.31/218.67 => 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) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_tfl__some,axiom,
% 218.31/218.67 ! [T_b,B_P] :
% 218.31/218.67 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 218.31/218.67 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_someI,axiom,
% 218.31/218.67 ! [T_b,V_x_2,V_P_2] :
% 218.31/218.67 ( hBOOL(hAPP(V_P_2,V_x_2))
% 218.31/218.67 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_some__sym__eq__trivial,axiom,
% 218.31/218.67 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_some__eq__trivial,axiom,
% 218.31/218.67 ! [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 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_some__eq__ex,axiom,
% 218.31/218.67 ! [T_b,V_P_2] :
% 218.31/218.67 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2)))
% 218.31/218.67 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_someI__ex,axiom,
% 218.31/218.67 ! [T_b,V_P_2] :
% 218.31/218.67 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 218.31/218.67 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_o__assoc,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_o__apply,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_o__eq__dest,axiom,
% 218.31/218.67 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 218.31/218.67 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2)
% 218.31/218.67 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_o__eq__elim,axiom,
% 218.31/218.67 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 218.31/218.67 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2)
% 218.31/218.67 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_o__def,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_comp__cong,axiom,
% 218.31/218.67 ! [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] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => 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) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_apfst__compose,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_apsnd__compose,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_o__eq__dest__lhs,axiom,
% 218.31/218.67 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 218.31/218.67 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 218.31/218.67 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_K__record__comp,axiom,
% 218.31/218.67 ! [V_x_2,V_f_2,V_c_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_f_2),V_x_2) = V_c_2 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__upd__comp,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_vimage__compose,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_map__pair_Ocompositionality,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_map__pair__compose,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_map__pair_Ocomp,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_comp__surj,axiom,
% 218.31/218.67 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => ( 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))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_image__compose,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_inj__comp,axiom,
% 218.31/218.67 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.67 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 218.31/218.67 => 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))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_inj__on__imageI2,axiom,
% 218.31/218.67 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 218.31/218.67 ( 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)
% 218.31/218.67 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_inj__on__imageI,axiom,
% 218.31/218.67 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 218.31/218.67 ( 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)
% 218.31/218.67 => 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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_comp__inj__on,axiom,
% 218.31/218.67 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.67 => ( 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))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_comp__inj__on__iff,axiom,
% 218.31/218.67 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.67 => ( 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))
% 218.31/218.67 <=> 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setsum__reindex,axiom,
% 218.31/218.67 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__add(T_d)
% 218.31/218.67 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setprod__reindex__cong,axiom,
% 218.31/218.67 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__mult(T_d)
% 218.31/218.67 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.67 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 218.31/218.67 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 218.31/218.67 => 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) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setprod__reindex,axiom,
% 218.31/218.67 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__mult(T_d)
% 218.31/218.67 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_split__paired__Eps,axiom,
% 218.31/218.67 ! [V_P_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_P_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Eps__split__eq,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setsum_Oreindex,axiom,
% 218.31/218.67 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setprod_Oreindex,axiom,
% 218.31/218.67 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_the__inv__into__comp,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 218.31/218.67 => ( 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))))
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__image__reindex,axiom,
% 218.31/218.67 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 218.31/218.67 ( class_Groups_Oab__semigroup__mult(T_d)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Nitpick_Odenom__def,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Nitpick_Onum__def,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding_Oremove,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 218.31/218.67 ! [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] :
% 218.31/218.67 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 218.31/218.67 => 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) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding_Ocommute__comp,axiom,
% 218.31/218.67 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => 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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding_Ocommute__left__comp,axiom,
% 218.31/218.67 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => 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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_snd__comp__map__pair,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fst__comp__map__pair,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_UN__o,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_split__comp,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 218.31/218.67 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 218.31/218.67 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding_Ocommute__comp_H,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_number__of__code__numeral__def,axiom,
% 218.31/218.67 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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding_Oempty,axiom,
% 218.31/218.67 ! [V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_int__of__def,axiom,
% 218.31/218.67 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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding_Oinsert,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding_Ounion__inter,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding_Oinsert__remove,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding_Ounion,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.67 => ( 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))
% 218.31/218.67 => 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)) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding__image_Oreindex,axiom,
% 218.31/218.67 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.67 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setsum__reindex__nonzero,axiom,
% 218.31/218.67 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__add(T_d)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 218.31/218.67 => ! [B_y] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 218.31/218.67 => ( B_x != B_y
% 218.31/218.67 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 218.31/218.67 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding__image_Odistrib,axiom,
% 218.31/218.67 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding__image_Oeq__fold,axiom,
% 218.31/218.67 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Random__Sequence_Omap__def,axiom,
% 218.31/218.67 ! [V_P_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_P_2) = c_Random__Sequence_Obind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding__idem_Ounion__idem,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.67 => 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)) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 218.31/218.67 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => 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) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding__idem_Oidem__comp,axiom,
% 218.31/218.67 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => 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) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding__idem_Oinsert__idem,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_strong__setprod__reindex__cong,axiom,
% 218.31/218.67 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__mult(T_d)
% 218.31/218.67 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.67 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => 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) )
% 218.31/218.67 => 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) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_neg__map__def,axiom,
% 218.31/218.67 ! [V_P_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_P_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_neg__single__def,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_pos__map__def,axiom,
% 218.31/218.67 ! [V_P_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_P_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_pos__single__def,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_New__DSequence_Opos__single__def,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wfI__pf,axiom,
% 218.31/218.67 ! [V_R_2,T_b] :
% 218.31/218.67 ( ! [B_A] :
% 218.31/218.67 ( 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)))
% 218.31/218.67 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 218.31/218.67 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Sigma__mono,axiom,
% 218.31/218.67 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => 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))) )
% 218.31/218.67 => 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))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_not__acc__down,axiom,
% 218.31/218.67 ! [V_R_2,V_x_2,T_b] :
% 218.31/218.67 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 218.31/218.67 => ~ ! [B_z] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_acc_OaccI,axiom,
% 218.31/218.67 ! [V_r_2,V_x_2,T_b] :
% 218.31/218.67 ( ! [B_y] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__image__1,axiom,
% 218.31/218.67 ! [V_f_2,V_S_2,T_b,T_c] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__mult(T_c)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 218.31/218.67 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_card_Oneutral,axiom,
% 218.31/218.67 ! [V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 218.31/218.67 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_max__ext_Osimps,axiom,
% 218.31/218.67 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 218.31/218.67 ( 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)))
% 218.31/218.67 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 218.31/218.67 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 218.31/218.67 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.67 & ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 218.31/218.67 => ? [B_xa] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 218.31/218.67 & 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)) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__image__cong,axiom,
% 218.31/218.67 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 218.31/218.67 ( class_Groups_Oab__semigroup__mult(T_c)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setprod__dvd__setprod__subset2,axiom,
% 218.31/218.67 ! [V_g_2,V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 218.31/218.67 ( class_Rings_Ocomm__semiring__1(T_c)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.67 => ( ! [B_x] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 218.31/218.67 => 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_g_2),V_B_2))) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Max__eqI,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ! [B_y] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Min__eqI,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ! [B_y] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__no__infinite__down__chainE,axiom,
% 218.31/218.67 ! [V_f_2,V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => ~ ! [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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_setsum__reindex__cong,axiom,
% 218.31/218.67 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 218.31/218.67 ( class_Groups_Ocomm__monoid__add(T_d)
% 218.31/218.67 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.31/218.67 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 218.31/218.67 => ( ! [B_a] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 218.31/218.67 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 218.31/218.67 => 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) ) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_less__eq,axiom,
% 218.31/218.67 ! [V_na_2,V_m_2] :
% 218.31/218.67 ( 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_na_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 218.31/218.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__image__def,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_wf__trancl,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.67 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__empty,axiom,
% 218.31/218.67 ! [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 ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding_Oeq__fold,axiom,
% 218.31/218.67 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__def,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_union__fold__insert,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__sup__insert,axiom,
% 218.31/218.67 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Osemilattice__sup(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__inf__insert,axiom,
% 218.31/218.67 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Osemilattice__inf(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_less__than__def,axiom,
% 218.31/218.67 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_Ofold__inf__insert,axiom,
% 218.31/218.67 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_Ofold__sup__insert,axiom,
% 218.31/218.67 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_acyclic__def,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 218.31/218.67 <=> ! [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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 218.31/218.67 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 218.31/218.67 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_sup__SUPR__fold__sup,axiom,
% 218.31/218.67 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.67 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 218.31/218.67 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_sup__le__fold__sup,axiom,
% 218.31/218.67 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Osemilattice__sup(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.67 => 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))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold__inf__le__inf,axiom,
% 218.31/218.67 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Osemilattice__inf(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.67 => 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))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 218.31/218.67 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.67 => 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))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 218.31/218.67 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.67 => 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))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1__eq__fold__idem,axiom,
% 218.31/218.67 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 218.31/218.67 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Olattice(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 218.31/218.67 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Olattice(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 218.31/218.67 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 218.31/218.67 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 218.31/218.67 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 218.31/218.67 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_minus__fold__remove,axiom,
% 218.31/218.67 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_folding__one_Oeq__fold_H,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_SUPR__fold__sup,axiom,
% 218.31/218.67 ! [V_f_2,V_A_2,T_b,T_c] :
% 218.31/218.67 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fold1__eq__fold,axiom,
% 218.31/218.67 ! [V_a_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Groups_Oab__semigroup__mult(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Olattice(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Lattices_Olattice(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Min_Oeq__fold_H,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Max_Oeq__fold_H,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 218.31/218.67 ! [V_x_2,V_A_2,T_b] :
% 218.31/218.67 ( class_Orderings_Olinorder(T_b)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => 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) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_trancl_Or__into__trancl,axiom,
% 218.31/218.67 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => 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))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_trancl__subset__Field2,axiom,
% 218.31/218.67 ! [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))))) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_r__into__trancl_H,axiom,
% 218.31/218.67 ! [V_r_2,V_p_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_trancl__empty,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_trancl__domain,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_trancl__range,axiom,
% 218.31/218.67 ! [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) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_finite__trancl,axiom,
% 218.31/218.67 ! [V_r_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 218.31/218.67 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_trancl__trans,axiom,
% 218.31/218.67 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 218.31/218.67 ( 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)))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 218.31/218.67 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 218.31/218.67 ( 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)))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_trancl__into__trancl2,axiom,
% 218.31/218.67 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_r__r__into__trancl,axiom,
% 218.31/218.67 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_R_2))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_trancl__mono,axiom,
% 218.31/218.67 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 218.31/218.67 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 218.31/218.67 => ( 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))
% 218.31/218.67 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_trancl__unfold,axiom,
% 218.31/218.67 ! [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)) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_trancl__subset__Sigma,axiom,
% 218.31/218.67 ! [V_A_2,V_r_2,T_b] :
% 218.31/218.67 ( 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))))
% 218.31/218.67 => 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)))) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_trancl__Int__subset,axiom,
% 218.31/218.67 ! [V_s_2,V_r_2,T_b] :
% 218.31/218.67 ( 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))
% 218.31/218.67 => ( 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))
% 218.31/218.67 => 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)) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 218.31/218.67 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.67 => 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)))))) ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 218.31/218.67 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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)))))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 218.31/218.67 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 218.31/218.67 => 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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 218.31/218.67 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 218.31/218.67 => V_y_2 = V_x_2 ) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm,axiom,
% 218.31/218.67 ! [T_b] :
% 218.31/218.67 ( class_Groups_Oab__semigroup__mult(T_b)
% 218.31/218.67 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 218.31/218.67 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 218.31/218.67 => 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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 218.31/218.67 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 218.31/218.67 => 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)) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 218.31/218.67 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 218.31/218.67 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 218.31/218.67 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 218.31/218.67 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.67 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 218.31/218.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.67 => 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))) ) ) ).
% 218.31/218.67
% 218.31/218.67 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 218.31/218.68 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.68 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.68 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.68 => 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) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 218.31/218.68 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.68 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.68 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.68 => 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)) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 218.31/218.68 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.68 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.68 => ? [B_y_H] :
% 218.31/218.68 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 218.31/218.68 & 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)) ) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_trancl__insert,axiom,
% 218.31/218.68 ! [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)))))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_r__into__rtrancl,axiom,
% 218.31/218.68 ! [V_r_2,V_p_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 218.31/218.68 ! [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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_trancl__into__rtrancl,axiom,
% 218.31/218.68 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Domain__rtrancl,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Range__rtrancl,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_refl__rtrancl,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 218.31/218.68 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 218.31/218.68 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__trans,axiom,
% 218.31/218.68 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__idemp,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__subset__rtrancl,axiom,
% 218.31/218.68 ! [V_s_2,V_r_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__subset,axiom,
% 218.31/218.68 ! [V_S_2,V_R_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => ( 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)))
% 218.31/218.68 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__mono,axiom,
% 218.31/218.68 ! [V_s_2,V_r_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__Un__subset,axiom,
% 218.31/218.68 ! [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)))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__Un__rtrancl,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Image__closed__trancl,axiom,
% 218.31/218.68 ! [V_X_2,V_r_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_in__rtrancl__UnI,axiom,
% 218.31/218.68 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 218.31/218.68 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 218.31/218.68 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 218.31/218.68 => 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)))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__idemp__self__comp,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_r__comp__rtrancl__eq,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_trancl__unfold__left,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_trancl__unfold__right,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__trancl__absorb,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_trancl__rtrancl__absorb,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__eq__or__trancl,axiom,
% 218.31/218.68 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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)))
% 218.31/218.68 <=> ( V_x_2 = V_y_2
% 218.31/218.68 | ( V_x_2 != V_y_2
% 218.31/218.68 & hBOOL(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))) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__into__trancl2,axiom,
% 218.31/218.68 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtranclD,axiom,
% 218.31/218.68 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ( V_a_2 = V_b_2
% 218.31/218.68 | ( V_a_2 != V_b_2
% 218.31/218.68 & 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))) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__into__trancl1,axiom,
% 218.31/218.68 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_trancl__rtrancl__trancl,axiom,
% 218.31/218.68 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__trancl__trancl,axiom,
% 218.31/218.68 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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)))
% 218.31/218.68 => ( 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)))
% 218.31/218.68 => hBOOL(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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Not__Domain__rtrancl,axiom,
% 218.31/218.68 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 218.31/218.68 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 218.31/218.68 => ( hBOOL(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)))
% 218.31/218.68 <=> V_x_2 = V_y_2 ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_acc__downwards,axiom,
% 218.31/218.68 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 218.31/218.68 => ( 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)))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_acc__downwards__aux,axiom,
% 218.31/218.68 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_wf__insert,axiom,
% 218.31/218.68 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.68 & ~ hBOOL(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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_acyclic__insert,axiom,
% 218.31/218.68 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 218.31/218.68 & ~ hBOOL(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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_pred__nat__trancl__eq__le,axiom,
% 218.31/218.68 ! [V_na_2,V_m_2] :
% 218.31/218.68 ( 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_na_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 218.31/218.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_trancl__subset__Sigma__aux,axiom,
% 218.31/218.68 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ( 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))))
% 218.31/218.68 => ( V_a_2 = V_b_2
% 218.31/218.68 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_irrefl__tranclI,axiom,
% 218.31/218.68 ! [V_x_2,V_r_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => ~ hBOOL(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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INFI__fold__inf,axiom,
% 218.31/218.68 ! [V_f_2,V_A_2,T_b,T_c] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.68 => 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) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INF1__D,axiom,
% 218.31/218.68 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INF1__E,axiom,
% 218.31/218.68 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 218.31/218.68 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__D,axiom,
% 218.31/218.68 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__E,axiom,
% 218.31/218.68 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 218.31/218.68 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INF2__D,axiom,
% 218.31/218.68 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INF2__E,axiom,
% 218.31/218.68 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 218.31/218.68 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 218.31/218.68 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_finite__INT,axiom,
% 218.31/218.68 ! [V_A_2,T_c,V_I_2,T_b] :
% 218.31/218.68 ( ? [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 218.31/218.68 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__converse,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_trancl__converse,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Compl__INT,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Compl__UN,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Image__INT__subset,axiom,
% 218.31/218.68 ! [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)))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__Un,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_acyclic__converse,axiom,
% 218.31/218.68 ! [V_r_2,T_b] :
% 218.31/218.68 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 218.31/218.68 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INF__less__iff,axiom,
% 218.31/218.68 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 218.31/218.68 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 & class_Orderings_Olinorder(T_b) )
% 218.31/218.68 => ( 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))
% 218.31/218.68 <=> ? [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 218.31/218.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_refl__on__converse,axiom,
% 218.31/218.68 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.68 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 218.31/218.68 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INF__INT__eq2,axiom,
% 218.31/218.68 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 <=> 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__iff,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 <=> ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_finite__converse,axiom,
% 218.31/218.68 ! [V_r_2,T_c,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 218.31/218.68 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converse__converse,axiom,
% 218.31/218.68 ! [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 ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converse__INTER,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INF__commute,axiom,
% 218.31/218.68 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INFI__apply,axiom,
% 218.31/218.68 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => 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)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converse__Id__on,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Field__converse,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converse__inv__image,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Pow__INT__eq,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.68 ( 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))
% 218.31/218.68 <=> ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 218.31/218.68 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.68 ( 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)
% 218.31/218.68 <=> ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 218.31/218.68 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__Int__distrib,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converse__Int,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__extend__simps_I10_J,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__simps_I10_J,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converse__iff,axiom,
% 218.31/218.68 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 <=> 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)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converseI,axiom,
% 218.31/218.68 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converseD,axiom,
% 218.31/218.68 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => 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)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_le__INF__iff,axiom,
% 218.31/218.68 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => ( 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)))
% 218.31/218.68 <=> ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converse__Un,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__subset__iff,axiom,
% 218.31/218.68 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 <=> ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 218.31/218.68 => 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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__simps_I7_J,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__simps_I6_J,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__extend__simps_I7_J,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Un__INT__distrib,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__extend__simps_I6_J,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Un__INT__distrib2,axiom,
% 218.31/218.68 ! [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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__simps_I5_J,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__extend__simps_I5_J,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converse__rel__comp,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__absorb,axiom,
% 218.31/218.68 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 218.31/218.68 => 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) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INF__INT__eq,axiom,
% 218.31/218.68 ! [V_x_2,V_r_2,T_c,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 <=> 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__lower,axiom,
% 218.31/218.68 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__insert__distrib,axiom,
% 218.31/218.68 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 218.31/218.68 => 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)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__extend__simps_I1_J,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 218.31/218.68 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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 )
% 218.31/218.68 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__extend__simps_I2_J,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 218.31/218.68 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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 )
% 218.31/218.68 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INF__const,axiom,
% 218.31/218.68 ! [V_M_2,T_b,V_A_2,T_c] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 218.31/218.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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 ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__empty,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__constant,axiom,
% 218.31/218.68 ! [V_c_2,T_c,T_b,V_A_2] :
% 218.31/218.68 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 218.31/218.68 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converse__UNION,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__simps_I9_J,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__extend__simps_I9_J,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Collect__ball__eq,axiom,
% 218.31/218.68 ! [V_P_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_P_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_P_2))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__insert,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INFI__bool__eq,axiom,
% 218.31/218.68 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_vimage__INT,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_UN__simps_I7_J,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_UN__extend__simps_I7_J,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_wf__converse__trancl,axiom,
% 218.31/218.68 ! [V_r_2,T_b] :
% 218.31/218.68 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 218.31/218.68 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_equiv__comp__eq,axiom,
% 218.31/218.68 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.68 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.68 => 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 ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Range__def,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Domain__converse,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Range__converse,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INF__subset,axiom,
% 218.31/218.68 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.68 => 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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INTER__def,axiom,
% 218.31/218.68 ! [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)))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__simps_I2_J,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 218.31/218.68 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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)) )
% 218.31/218.68 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__simps_I1_J,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 218.31/218.68 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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)) )
% 218.31/218.68 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__simps_I3_J,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 218.31/218.68 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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)) )
% 218.31/218.68 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__extend__simps_I3_J,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 218.31/218.68 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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) )
% 218.31/218.68 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__extend__simps_I4_J,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 218.31/218.68 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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 )
% 218.31/218.68 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__converseD,axiom,
% 218.31/218.68 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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))))
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__converseI,axiom,
% 218.31/218.68 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => hBOOL(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)))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_trancl__converseD,axiom,
% 218.31/218.68 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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))))
% 218.31/218.68 => hBOOL(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)))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_trancl__converseI,axiom,
% 218.31/218.68 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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))))
% 218.31/218.68 => hBOOL(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)))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Image__subset__eq,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 <=> 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))))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INF__leI,axiom,
% 218.31/218.68 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 218.31/218.68 => 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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_refl__on__comp__subset,axiom,
% 218.31/218.68 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.68 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_comp__equivI,axiom,
% 218.31/218.68 ! [V_A_2,V_r_2,T_b] :
% 218.31/218.68 ( 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
% 218.31/218.68 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 218.31/218.68 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_finite__acyclic__wf__converse,axiom,
% 218.31/218.68 ! [V_r_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 218.31/218.68 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 218.31/218.68 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__greaterThan__UNIV,axiom,
% 218.31/218.68 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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__simps_I4_J,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 218.31/218.68 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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)) )
% 218.31/218.68 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converse__def,axiom,
% 218.31/218.68 ! [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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_inf__INFI__fold__inf,axiom,
% 218.31/218.68 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.68 => 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) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_sequence__trans,axiom,
% 218.31/218.68 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 218.31/218.68 ( ! [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)))
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_reflcl__set__eq,axiom,
% 218.31/218.68 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 <=> hBOOL(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)))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_IdI,axiom,
% 218.31/218.68 ! [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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converse__Id,axiom,
% 218.31/218.68 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INF1__iff,axiom,
% 218.31/218.68 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 <=> ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INF2__iff,axiom,
% 218.31/218.68 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 218.31/218.68 <=> ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_R__O__Id,axiom,
% 218.31/218.68 ! [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 ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Id__O__R,axiom,
% 218.31/218.68 ! [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 ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Image__Id,axiom,
% 218.31/218.68 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 218.31/218.68
% 218.31/218.68 fof(fact_pair__in__Id__conv,axiom,
% 218.31/218.68 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 <=> V_a_2 = V_b_2 ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Domain__Id,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__empty,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Range__Id,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__reflcl,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__reflcl__absorb,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_refl__Id,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__r__diff__Id,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_pair__leq__def,axiom,
% 218.31/218.68 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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_reflcl__trancl,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_trancl__reflcl,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__unfold,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_refl__reflcl,axiom,
% 218.31/218.68 ! [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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Id__def,axiom,
% 218.31/218.68 ! [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))))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_irrefl__diff__Id,axiom,
% 218.31/218.68 ! [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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__Int__subset,axiom,
% 218.31/218.68 ! [V_r_2,V_s_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => ( 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))
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Image__INT__eq,axiom,
% 218.31/218.68 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 218.31/218.68 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 218.31/218.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_image__INT,axiom,
% 218.31/218.68 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 218.31/218.68 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 218.31/218.68 => ( ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 218.31/218.68 => 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)) )
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 218.31/218.68 => 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)) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_single__valued__Id,axiom,
% 218.31/218.68 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_single__valued__Id__on,axiom,
% 218.31/218.68 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_single__valued__rel__comp,axiom,
% 218.31/218.68 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 218.31/218.68 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 218.31/218.68 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_single__valued__subset,axiom,
% 218.31/218.68 ! [V_s_2,V_r_2,T_c,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 218.31/218.68 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_single__valuedD,axiom,
% 218.31/218.68 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 218.31/218.68 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 218.31/218.68 => ( 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))
% 218.31/218.68 => ( 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))
% 218.31/218.68 => V_y_2 = V_z_2 ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_single__valued__def,axiom,
% 218.31/218.68 ! [V_r_2,T_c,T_b] :
% 218.31/218.68 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 218.31/218.68 <=> ! [B_x,B_y] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => ! [B_z] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => B_y = B_z ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_single__valued__confluent,axiom,
% 218.31/218.68 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 218.31/218.68 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 218.31/218.68 => ( hBOOL(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)))
% 218.31/218.68 => ( hBOOL(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)))
% 218.31/218.68 => ( 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)))
% 218.31/218.68 | 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))) ) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Image__Int__eq,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 218.31/218.68 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 218.31/218.68 => 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)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_total__on__diff__Id,axiom,
% 218.31/218.68 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 218.31/218.68 ! [V_R_2,V_p_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 218.31/218.68 => 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)))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_single__valued__rel__pow,axiom,
% 218.31/218.68 ! [V_na_2,V_R_2,T_b] :
% 218.31/218.68 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 218.31/218.68 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rel__pow__add,axiom,
% 218.31/218.68 ! [V_R_2,V_na_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_na_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_na_2),V_R_2)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_wf__exp,axiom,
% 218.31/218.68 ! [V_R_2,V_na_2,T_b] :
% 218.31/218.68 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))
% 218.31/218.68 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_funpow__swap1,axiom,
% 218.31/218.68 ! [V_x_2,V_na_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_funpow__mult,axiom,
% 218.31/218.68 ! [V_f_2,V_m_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_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_na_2)),V_f_2) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_comp__funpow,axiom,
% 218.31/218.68 ! [V_f_2,V_na_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_na_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_na_2),V_f_2)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rel__pow__1,axiom,
% 218.31/218.68 ! [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 ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rel__pow__commute,axiom,
% 218.31/218.68 ! [V_na_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_na_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_na_2),V_R_2)),V_R_2) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_relpow_Osimps_I2_J,axiom,
% 218.31/218.68 ! [V_R_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_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_na_2),V_R_2)),V_R_2) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rel__pow__imp__rtrancl,axiom,
% 218.31/218.68 ! [V_R_2,V_na_2,V_p_2,T_b] :
% 218.31/218.68 ( 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_na_2),V_R_2)))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__power,axiom,
% 218.31/218.68 ! [V_R_2,V_p_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 218.31/218.68 <=> ? [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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_relpow_Osimps_I1_J,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_total__on__empty,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_total__on__converse,axiom,
% 218.31/218.68 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.68 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 218.31/218.68 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rel__pow__0__I,axiom,
% 218.31/218.68 ! [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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rel__pow__0__E,axiom,
% 218.31/218.68 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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)))
% 218.31/218.68 => V_x_2 = V_y_2 ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rel__pow__Suc__I,axiom,
% 218.31/218.68 ! [V_z_2,V_R_2,V_na_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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_na_2),V_R_2)))
% 218.31/218.68 => ( 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))
% 218.31/218.68 => hBOOL(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_na_2)),V_R_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rel__pow__Suc__I2,axiom,
% 218.31/218.68 ! [V_na_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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))
% 218.31/218.68 => ( 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_na_2),V_R_2)))
% 218.31/218.68 => hBOOL(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_na_2)),V_R_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_funpow_Osimps_I2_J,axiom,
% 218.31/218.68 ! [V_f_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_na_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_na_2),V_f_2)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_funpow__add,axiom,
% 218.31/218.68 ! [V_f_2,V_na_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_na_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_na_2),V_f_2)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_funpow_Osimps_I1_J,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_trancl__power,axiom,
% 218.31/218.68 ! [V_R_2,V_p_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 218.31/218.68 <=> ? [B_n] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 218.31/218.68 & 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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_total__on__def,axiom,
% 218.31/218.68 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.68 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 218.31/218.68 <=> ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.68 => ! [B_xa] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 218.31/218.68 => ( B_x != B_xa
% 218.31/218.68 => ( 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))
% 218.31/218.68 | 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)) ) ) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_funpow__code__def,axiom,
% 218.31/218.68 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rel__pow__E2,axiom,
% 218.31/218.68 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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_na_2),V_R_2)))
% 218.31/218.68 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.68 => V_x_2 != V_z_2 )
% 218.31/218.68 => ~ ! [B_y,B_m] :
% 218.31/218.68 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 218.31/218.68 => ( 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))
% 218.31/218.68 => ~ 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))) ) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rel__pow__E,axiom,
% 218.31/218.68 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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_na_2),V_R_2)))
% 218.31/218.68 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.68 => V_x_2 != V_z_2 )
% 218.31/218.68 => ~ ! [B_y,B_m] :
% 218.31/218.68 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 218.31/218.68 => ( 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)))
% 218.31/218.68 => ~ 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)) ) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inf__fold__inf,axiom,
% 218.31/218.68 ! [V_A_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.68 => 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) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_finite__Inter,axiom,
% 218.31/218.68 ! [V_M_2,T_b] :
% 218.31/218.68 ( ? [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 218.31/218.68 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 218.31/218.68 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_InterE,axiom,
% 218.31/218.68 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_InterD,axiom,
% 218.31/218.68 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Un__Inter,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inter__lower,axiom,
% 218.31/218.68 ! [V_A_2,V_B_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.68 => 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)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_le__Inf__iff,axiom,
% 218.31/218.68 ! [V_A_2,V_b_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => ( 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)))
% 218.31/218.68 <=> ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inf__less__iff,axiom,
% 218.31/218.68 ! [V_a_2,V_S_2,T_b] :
% 218.31/218.68 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 & class_Orderings_Olinorder(T_b) )
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 218.31/218.68 <=> ? [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 218.31/218.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inter__anti__mono,axiom,
% 218.31/218.68 ! [V_A_2,V_B_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inter__empty,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inter__eq,axiom,
% 218.31/218.68 ! [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)))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inter__insert,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inter__UNIV,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inf__lower,axiom,
% 218.31/218.68 ! [V_A_2,V_x_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inter__Un__distrib,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inf__singleton,axiom,
% 218.31/218.68 ! [V_a_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => 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 ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inf__empty,axiom,
% 218.31/218.68 ! [T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => 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) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inf__UNIV,axiom,
% 218.31/218.68 ! [T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => 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) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inf__insert,axiom,
% 218.31/218.68 ! [V_A_2,V_a_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => 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)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inter__image__eq,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INTER__eq__Inter__image,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Int__eq__Inter,axiom,
% 218.31/218.68 ! [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))))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Int__Inter__image,axiom,
% 218.31/218.68 ! [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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inter__Un__subset,axiom,
% 218.31/218.68 ! [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)))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inf__binary,axiom,
% 218.31/218.68 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => 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) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_inf__Inf__fold__inf,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.68 => 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) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inf__fin__Inf,axiom,
% 218.31/218.68 ! [V_A_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inf__Sup,axiom,
% 218.31/218.68 ! [V_A_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => 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))))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Sup__Inf,axiom,
% 218.31/218.68 ! [V_A_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => 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)))))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_UnionI,axiom,
% 218.31/218.68 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 218.31/218.68 => 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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inter__def,axiom,
% 218.31/218.68 ! [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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_vimage__Union,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Domain__Union,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Range__Union,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Int__Union,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Int__Union2,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_UN__extend__simps_I8_J,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_UN__simps_I8_J,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Sigma__Union,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_image__Union,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__extend__simps_I8_J,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_INT__simps_I8_J,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Union__mono,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Union__quotient,axiom,
% 218.31/218.68 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.68 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.68 => 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 ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_less__Sup__iff,axiom,
% 218.31/218.68 ! [V_S_2,V_a_2,T_b] :
% 218.31/218.68 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 & class_Orderings_Olinorder(T_b) )
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 218.31/218.68 <=> ? [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 218.31/218.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Union__Pow__eq,axiom,
% 218.31/218.68 ! [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 ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Field__Union,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Sup__le__iff,axiom,
% 218.31/218.68 ! [V_b_2,V_A_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => ( 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))
% 218.31/218.68 <=> ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Union__upper,axiom,
% 218.31/218.68 ! [V_A_2,V_B_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Union__disjoint,axiom,
% 218.31/218.68 ! [V_A_2,V_C_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 <=> ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Union__empty,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Union__insert,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_finite__UnionD,axiom,
% 218.31/218.68 ! [V_A_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 218.31/218.68 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_subset__Pow__Union,axiom,
% 218.31/218.68 ! [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)))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Union__UNIV,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Union__Un__distrib,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Union__image__eq,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_UNION__eq__Union__image,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Sup__upper,axiom,
% 218.31/218.68 ! [V_A_2,V_x_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.68 => 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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Sup__empty,axiom,
% 218.31/218.68 ! [T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => 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) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Sup__singleton,axiom,
% 218.31/218.68 ! [V_a_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => 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 ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Sup__insert,axiom,
% 218.31/218.68 ! [V_A_2,V_a_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => 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)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Sup__UNIV,axiom,
% 218.31/218.68 ! [T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => 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) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Un__eq__Union,axiom,
% 218.31/218.68 ! [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))))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Un__Union__image,axiom,
% 218.31/218.68 ! [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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Union__Int__subset,axiom,
% 218.31/218.68 ! [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)))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Sup__binary,axiom,
% 218.31/218.68 ! [V_b_2,V_a_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => 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) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_sup__Sup__fold__sup,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.68 => 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) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Sup__fin__Sup,axiom,
% 218.31/218.68 ! [V_A_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Sup__fold__sup,axiom,
% 218.31/218.68 ! [V_A_2,T_b] :
% 218.31/218.68 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.68 => 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) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_inj__on__Inter,axiom,
% 218.31/218.68 ! [V_f_2,T_c,T_b,V_S_2] :
% 218.31/218.68 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 218.31/218.68 => ( ! [B_A] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 218.31/218.68 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Inter__subset,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.68 ( ! [B_X] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 218.31/218.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Union__def,axiom,
% 218.31/218.68 ! [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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_finite__Union,axiom,
% 218.31/218.68 ! [V_A_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 218.31/218.68 => ( ! [B_M] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 218.31/218.68 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_insert__partition,axiom,
% 218.31/218.68 ! [V_F_2,V_x_2,T_b] :
% 218.31/218.68 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 218.31/218.68 => ( ! [B_x] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ! [B_xa] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ( B_x != B_xa
% 218.31/218.68 => 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)) ) ) )
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_card__partition,axiom,
% 218.31/218.68 ! [V_k_2,V_C_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 218.31/218.68 => ( ! [B_c] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 218.31/218.68 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 218.31/218.68 => ( ! [B_c1] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 218.31/218.68 => ! [B_c2] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 218.31/218.68 => ( B_c1 != B_c2
% 218.31/218.68 => 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)) ) ) )
% 218.31/218.68 => 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)) ) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_inj__on__INTER,axiom,
% 218.31/218.68 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 218.31/218.68 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.68 => ( ! [B_i] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 218.31/218.68 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 218.31/218.68 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.68 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 218.31/218.68 => ( 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))
% 218.31/218.68 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.68 => ~ ! [B_y] :
% 218.31/218.68 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 218.31/218.68 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_acyclicI,axiom,
% 218.31/218.68 ! [V_r_2,T_b] :
% 218.31/218.68 ( ! [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)))
% 218.31/218.68 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 218.31/218.68 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2),V_Q_2))))
% 218.31/218.68 => ( ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2)))
% 218.31/218.68 => ! [B_y] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Q_2))
% 218.31/218.68 => B_y = B_x ) )
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__Un__separatorE,axiom,
% 218.31/218.68 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2),V_Q_2))))
% 218.31/218.68 => ( ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_P_2)))
% 218.31/218.68 => ! [B_y] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Q_2))
% 218.31/218.68 => B_x = B_y ) )
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rel__pow__Suc__D2,axiom,
% 218.31/218.68 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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_na_2)),V_R_2)))
% 218.31/218.68 => ? [B_y] :
% 218.31/218.68 ( 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))
% 218.31/218.68 & 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_na_2),V_R_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rel__pow__Suc__E2,axiom,
% 218.31/218.68 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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_na_2)),V_R_2)))
% 218.31/218.68 => ~ ! [B_y] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => ~ 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_na_2),V_R_2))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rel__pow__Suc__E,axiom,
% 218.31/218.68 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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_na_2)),V_R_2)))
% 218.31/218.68 => ~ ! [B_y] :
% 218.31/218.68 ( 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_na_2),V_R_2)))
% 218.31/218.68 => ~ 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_tranclD,axiom,
% 218.31/218.68 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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)))
% 218.31/218.68 => ? [B_z] :
% 218.31/218.68 ( 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))
% 218.31/218.68 & 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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_tranclD2,axiom,
% 218.31/218.68 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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)))
% 218.31/218.68 => ? [B_z] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 & 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 218.31/218.68 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 218.31/218.68 ( class_Orderings_Olinorder(T_b)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.68 => ( ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_c_2))) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 218.31/218.68 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 218.31/218.68 ( class_Orderings_Olinorder(T_b)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.68 => ( ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_c_2),V_A_2))) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_InterI,axiom,
% 218.31/218.68 ! [V_A_2,V_C_2,T_b] :
% 218.31/218.68 ( ! [B_X] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_inf__le__fold__inf,axiom,
% 218.31/218.68 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 218.31/218.68 ( class_Lattices_Osemilattice__inf(T_b)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.68 => ( ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_c_2),V_A_2))) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_fold__sup__le__sup,axiom,
% 218.31/218.68 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 218.31/218.68 ( class_Lattices_Osemilattice__sup(T_b)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.68 => ( ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_b_2),V_c_2))) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_IdE,axiom,
% 218.31/218.68 ! [V_p_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 218.31/218.68 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_wf__eq__minimal,axiom,
% 218.31/218.68 ! [V_r_2,T_b] :
% 218.31/218.68 ( c_Wellfounded_Owf(T_b,V_r_2)
% 218.31/218.68 <=> ! [B_Q] :
% 218.31/218.68 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 218.31/218.68 => ? [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 218.31/218.68 & ! [B_y] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.68 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 218.31/218.68 => 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)) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_transfer__nat__int__set__cong,axiom,
% 218.31/218.68 ! [V_P_H_2,V_P_2] :
% 218.31/218.68 ( ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 218.31/218.68 => ( hBOOL(hAPP(V_P_2,B_x))
% 218.31/218.68 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 218.31/218.68 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 218.31/218.68 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.68 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 218.31/218.68 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 218.31/218.68 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.68 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 218.31/218.68 => 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) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 218.31/218.68 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.68 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 218.31/218.68 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 218.31/218.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 218.31/218.68 => 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) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Int__Collect__mono,axiom,
% 218.31/218.68 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.68 => ( ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.68 => ( hBOOL(hAPP(V_P_2,B_x))
% 218.31/218.68 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Q_2)))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_UnionE,axiom,
% 218.31/218.68 ! [V_C_2,V_A_2,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ~ ! [B_X] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 218.31/218.68 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rel__compE,axiom,
% 218.31/218.68 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ~ ! [B_x,B_y,B_z] :
% 218.31/218.68 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 218.31/218.68 => ( 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))
% 218.31/218.68 => ~ 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)) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_converseE,axiom,
% 218.31/218.68 ! [V_r_2,V_yx_2,T_c,T_b] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => ~ ! [B_x,B_y] :
% 218.31/218.68 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 218.31/218.68 => ~ 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_setprod__pos,axiom,
% 218.31/218.68 ! [V_f_2,V_A_2,T_b,T_c] :
% 218.31/218.68 ( class_Rings_Olinordered__semidom(T_c)
% 218.31/218.68 => ( ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 218.31/218.68 => 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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_setprod__nonneg,axiom,
% 218.31/218.68 ! [V_f_2,V_A_2,T_b,T_c] :
% 218.31/218.68 ( class_Rings_Olinordered__semidom(T_c)
% 218.31/218.68 => ( ! [B_x] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 218.31/218.68 => 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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_finite__less__ub,axiom,
% 218.31/218.68 ! [V_u_2,V_f_2] :
% 218.31/218.68 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 218.31/218.68 => 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)))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_finite__induct,axiom,
% 218.31/218.68 ! [V_P_2,V_F_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 218.31/218.68 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 218.31/218.68 => ( ! [B_x,B_F] :
% 218.31/218.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 218.31/218.68 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 218.31/218.68 => ( hBOOL(hAPP(V_P_2,B_F))
% 218.31/218.68 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 218.31/218.68 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_lenlex__def,axiom,
% 218.31/218.68 ! [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)))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_measure__function__int,axiom,
% 218.31/218.68 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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_measure__fst,axiom,
% 218.31/218.68 ! [T_c,V_f_2,T_b] :
% 218.31/218.68 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_measure__snd,axiom,
% 218.31/218.68 ! [T_c,V_f_2,T_b] :
% 218.31/218.68 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_is__measure_Osimps,axiom,
% 218.31/218.68 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_is__measure_Oequations,axiom,
% 218.31/218.68 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_is__measure_Ointros,axiom,
% 218.31/218.68 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_neq__if__length__neq,axiom,
% 218.31/218.68 ! [V_ys,V_xs,T_a] :
% 218.31/218.68 ( 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)
% 218.31/218.68 => V_xs != V_ys ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_lexn__length,axiom,
% 218.31/218.68 ! [V_na_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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_na_2)))
% 218.31/218.68 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_na_2
% 218.31/218.68 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_measure__size,axiom,
% 218.31/218.68 ! [T_b] :
% 218.31/218.68 ( class_Nat_Osize(T_b)
% 218.31/218.68 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_lenlex__conv,axiom,
% 218.31/218.68 ! [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)))))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_length__sublist,axiom,
% 218.31/218.68 ! [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)))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_lexn_Osimps_I2_J,axiom,
% 218.31/218.68 ! [V_na_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_na_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_na_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_na_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_na_2)))))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_impossible__Cons,axiom,
% 218.31/218.68 ! [V_x,V_ys,V_xs,T_a] :
% 218.31/218.68 ( 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)))
% 218.31/218.68 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_not__Cons__self,axiom,
% 218.31/218.68 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_not__Cons__self2,axiom,
% 218.31/218.68 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 218.31/218.68
% 218.31/218.68 fof(fact_list_Oinject,axiom,
% 218.31/218.68 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 218.31/218.68 ( 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)
% 218.31/218.68 <=> ( V_a_2 = V_a_H_2
% 218.31/218.68 & V_list_2 = V_list_H_2 ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_bool_Osize_I4_J,axiom,
% 218.31/218.68 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_bool_Osize_I3_J,axiom,
% 218.31/218.68 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_list_Osize_I4_J,axiom,
% 218.31/218.68 ! [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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Cons__in__lex,axiom,
% 218.31/218.68 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.68 <=> ( ( hBOOL(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))
% 218.31/218.68 & 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) )
% 218.31/218.68 | ( V_x_2 = V_y_2
% 218.31/218.68 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_set__Cons__def,axiom,
% 218.31/218.68 ! [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)))))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_pick_Osimps,axiom,
% 218.31/218.68 ! [V_xs,V_x,T_a,V_i] :
% 218.31/218.68 ( ( 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)))
% 218.31/218.68 => 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) )
% 218.31/218.68 & ( ~ 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)))
% 218.31/218.68 => 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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_select__weight__cons__zero,axiom,
% 218.31/218.68 ! [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) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_lexord__cons__cons,axiom,
% 218.31/218.68 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.68 <=> ( 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))
% 218.31/218.68 | ( V_a_2 = V_b_2
% 218.31/218.68 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_lexord__lex,axiom,
% 218.31/218.68 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.68 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.68 & 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) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 218.31/218.68 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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)))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_list_Osize_I2_J,axiom,
% 218.31/218.68 ! [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))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Cons__acc__listrel1I,axiom,
% 218.31/218.68 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 218.31/218.68 => ( 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))))
% 218.31/218.68 => 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)))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 218.31/218.68 ! [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)))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel1__converse,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel1__mono,axiom,
% 218.31/218.68 ! [V_s_2,V_r_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel1I2,axiom,
% 218.31/218.68 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 218.31/218.68 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel1__eq__len,axiom,
% 218.31/218.68 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.68 => 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) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 218.31/218.68 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 218.31/218.68 => 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) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_in__listrel1__converse,axiom,
% 218.31/218.68 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 218.31/218.68 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel1I1,axiom,
% 218.31/218.68 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_Cons__listrel1__Cons,axiom,
% 218.31/218.68 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.68 <=> ( ( hBOOL(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))
% 218.31/218.68 & V_xs_2 = V_ys_2 )
% 218.31/218.68 | ( V_x_2 = V_y_2
% 218.31/218.68 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel__Cons,axiom,
% 218.31/218.68 ! [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))))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_lexord__irreflexive,axiom,
% 218.31/218.68 ! [V_y_2,V_r_2,T_b] :
% 218.31/218.68 ( ! [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))
% 218.31/218.68 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel__rtrancl__refl,axiom,
% 218.31/218.68 ! [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)))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel__mono,axiom,
% 218.31/218.68 ! [V_s_2,V_r_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 218.31/218.68 ! [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)))) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel__eq__len,axiom,
% 218.31/218.68 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.68 => 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) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel__rtrancl__trans,axiom,
% 218.31/218.68 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 218.31/218.68 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel1__subset__listrel,axiom,
% 218.31/218.68 ! [V_r_H_2,V_r_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 218.31/218.68 => 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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 218.31/218.68 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel_OCons,axiom,
% 218.31/218.68 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 218.31/218.68 ( hBOOL(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))
% 218.31/218.68 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.68 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrelp__listrel__eq,axiom,
% 218.31/218.68 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 218.31/218.68 ( 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)
% 218.31/218.68 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel__Cons2,axiom,
% 218.31/218.68 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.68 => ~ ! [B_x,B_xs] :
% 218.31/218.68 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 218.31/218.68 => ( 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))
% 218.31/218.68 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrelp_OCons,axiom,
% 218.31/218.68 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 218.31/218.68 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 218.31/218.68 => 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)) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrelp_Oequations_I2_J,axiom,
% 218.31/218.68 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 218.31/218.68 ( 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))
% 218.31/218.68 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 218.31/218.68 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel__Cons1,axiom,
% 218.31/218.68 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.68 => ~ ! [B_y,B_ys] :
% 218.31/218.68 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 218.31/218.68 => ( 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))
% 218.31/218.68 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel__subset,axiom,
% 218.31/218.68 ! [V_A_2,V_r_2,T_b] :
% 218.31/218.68 ( 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))))
% 218.31/218.68 => 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))))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_lists__UNIV,axiom,
% 218.31/218.68 ! [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)) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_lists__mono,axiom,
% 218.31/218.68 ! [V_B_2,V_A_2,T_b] :
% 218.31/218.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.31/218.68 => 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))) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_equiv__listrel,axiom,
% 218.31/218.68 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.68 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.31/218.68 => 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)) ) ).
% 218.31/218.68
% 218.31/218.68 fof(fact_listrel__refl__on,axiom,
% 218.31/218.68 ! [V_r_2,V_A_2,T_b] :
% 218.31/218.68 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 218.31/218.68 => 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)) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_Cons__in__lists__iff,axiom,
% 218.31/218.69 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 218.31/218.69 ( 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)))
% 218.31/218.69 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.31/218.69 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_lists__accD,axiom,
% 218.31/218.69 ! [V_r_2,V_xs_2,T_b] :
% 218.31/218.69 ( 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))))
% 218.31/218.69 => 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)))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_lists__accI,axiom,
% 218.31/218.69 ! [V_r_2,V_xs_2,T_b] :
% 218.31/218.69 ( 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))))
% 218.31/218.69 => 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)))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listrel__iff__nth,axiom,
% 218.31/218.69 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.69 <=> ( 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)
% 218.31/218.69 & ! [B_n] :
% 218.31/218.69 ( 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)))
% 218.31/218.69 => 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)) ) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_lexord__linear,axiom,
% 218.31/218.69 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 218.31/218.69 ( ! [B_a,B_b] :
% 218.31/218.69 ( 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))
% 218.31/218.69 | B_a = B_b
% 218.31/218.69 | 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)) )
% 218.31/218.69 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.69 | V_x_2 = V_y_2
% 218.31/218.69 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_infinite__UNIV__listI,axiom,
% 218.31/218.69 ! [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)))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_nth_Osimps,axiom,
% 218.31/218.69 ! [V_na_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_na_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_na_2) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_nth__Cons__Suc,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_nth__Cons__0,axiom,
% 218.31/218.69 ! [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 ).
% 218.31/218.69
% 218.31/218.69 fof(fact_list__eq__iff__nth__eq,axiom,
% 218.31/218.69 ! [T_b,V_ys_2,V_xs_2] :
% 218.31/218.69 ( V_xs_2 = V_ys_2
% 218.31/218.69 <=> ( 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)
% 218.31/218.69 & ! [B_i] :
% 218.31/218.69 ( 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)))
% 218.31/218.69 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_nth__Cons_H,axiom,
% 218.31/218.69 ! [V_xs,V_x,T_a,V_n] :
% 218.31/218.69 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.69 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 218.31/218.69 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.69 => 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))) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_nth__Cons__number__of,axiom,
% 218.31/218.69 ! [V_xs,V_x,T_a,V_v] :
% 218.31/218.69 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.69 => 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 )
% 218.31/218.69 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.69 => 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))) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_select__def,axiom,
% 218.31/218.69 ! [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))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_lexord__take__index__conv,axiom,
% 218.31/218.69 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.69 <=> ( ( 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)))
% 218.31/218.69 & 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 )
% 218.31/218.69 | ? [B_i] :
% 218.31/218.69 ( 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))))
% 218.31/218.69 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 218.31/218.69 & 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)) ) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_take__all,axiom,
% 218.31/218.69 ! [V_n,V_xs,T_a] :
% 218.31/218.69 ( 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))
% 218.31/218.69 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_nth__take,axiom,
% 218.31/218.69 ! [V_xs,T_a,V_n,V_i] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 218.31/218.69 => 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) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_length__take,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_take__Suc__Cons,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_take__take,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_sublist__upt__eq__take,axiom,
% 218.31/218.69 ! [V_na_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2)) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_l_2) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_pick__same,axiom,
% 218.31/218.69 ! [V_xs_2,T_b,V_l_2] :
% 218.31/218.69 ( 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)))
% 218.31/218.69 => 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) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_finite__lists__length__le,axiom,
% 218.31/218.69 ! [V_na_2,V_A_2,T_b] :
% 218.31/218.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.69 => 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_na_2))))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_finite__set,axiom,
% 218.31/218.69 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_inj__mapI,axiom,
% 218.31/218.69 ! [V_f_2,T_c,T_b] :
% 218.31/218.69 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.69 => 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))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_set__take__subset,axiom,
% 218.31/218.69 ! [V_xs_2,V_na_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_na_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_in__set__takeD,axiom,
% 218.31/218.69 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2))))
% 218.31/218.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_take__map,axiom,
% 218.31/218.69 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_na_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_na_2),V_xs_2)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_inj__on__mapI,axiom,
% 218.31/218.69 ! [V_A_2,V_f_2,T_c,T_b] :
% 218.31/218.69 ( 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)))
% 218.31/218.69 => 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) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_set__map,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map__inj__on,axiom,
% 218.31/218.69 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 218.31/218.69 ( 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)
% 218.31/218.69 => ( 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)))
% 218.31/218.69 => V_xs_2 = V_ys_2 ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_inj__on__map__eq__map,axiom,
% 218.31/218.69 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 218.31/218.69 ( 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)))
% 218.31/218.69 => ( 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)
% 218.31/218.69 <=> V_xs_2 = V_ys_2 ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map__ident,axiom,
% 218.31/218.69 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map__eq__conv,axiom,
% 218.31/218.69 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 218.31/218.69 ( 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)
% 218.31/218.69 <=> ! [B_x] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 218.31/218.69 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_List_Omap_Oidentity,axiom,
% 218.31/218.69 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_List_Omap_Oid,axiom,
% 218.31/218.69 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map__map,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_List_Omap_Ocompositionality,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map__comp__map,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_List_Omap_Ocomp,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map_Osimps_I2_J,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map__fun__upd,axiom,
% 218.31/218.69 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 218.31/218.69 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.31/218.69 => 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) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_notin__set__sublistI,axiom,
% 218.31/218.69 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 218.31/218.69 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.31/218.69 => ~ 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)))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_in__set__sublistD,axiom,
% 218.31/218.69 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 218.31/218.69 ( 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))))
% 218.31/218.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_set__ConsD,axiom,
% 218.31/218.69 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 218.31/218.69 ( 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))))
% 218.31/218.69 => ( V_y_2 = V_x_2
% 218.31/218.69 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_length__map,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map__eq__imp__length__eq,axiom,
% 218.31/218.69 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 218.31/218.69 ( 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)
% 218.31/218.69 => 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) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map__injective,axiom,
% 218.31/218.69 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 218.31/218.69 ( 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)
% 218.31/218.69 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 218.31/218.69 => V_xs_2 = V_ys_2 ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_inj__map__eq__map,axiom,
% 218.31/218.69 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 218.31/218.69 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.31/218.69 => ( 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)
% 218.31/218.69 <=> V_xs_2 = V_ys_2 ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_set__sublist__subset,axiom,
% 218.31/218.69 ! [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))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_set__subset__Cons,axiom,
% 218.31/218.69 ! [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)))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_nth__map,axiom,
% 218.31/218.69 ! [V_f_2,T_c,V_xs_2,T_b,V_na_2] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 218.31/218.69 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_na_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2)) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_inj__map,axiom,
% 218.31/218.69 ! [V_f_2,T_c,T_b] :
% 218.31/218.69 ( 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)))
% 218.31/218.69 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_inj__mapD,axiom,
% 218.31/218.69 ! [V_f_2,T_c,T_b] :
% 218.31/218.69 ( 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)))
% 218.31/218.69 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_card__length,axiom,
% 218.31/218.69 ! [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))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_all__set__conv__all__nth,axiom,
% 218.31/218.69 ! [V_P_2,V_xs_2,T_b] :
% 218.31/218.69 ( ! [B_x] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.31/218.69 => hBOOL(hAPP(V_P_2,B_x)) )
% 218.31/218.69 <=> ! [B_i] :
% 218.31/218.69 ( 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)))
% 218.31/218.69 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_set__take__subset__set__take,axiom,
% 218.31/218.69 ! [V_xs_2,T_b,V_na_2,V_m_2] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.31/218.69 => 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_na_2),V_xs_2)))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_list__size__map,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_list__size__estimation,axiom,
% 218.31/218.69 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.31/218.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 218.31/218.69 => 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))) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_list__size__estimation_H,axiom,
% 218.31/218.69 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.31/218.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 218.31/218.69 => 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))) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_in__lists__conv__set,axiom,
% 218.31/218.69 ! [V_A_2,V_xs_2,T_b] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 218.31/218.69 <=> ! [B_x] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.31/218.69 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_length__pos__if__in__set,axiom,
% 218.31/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.31/218.69 => 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))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_nth__mem,axiom,
% 218.31/218.69 ! [V_xs_2,T_b,V_na_2] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 218.31/218.69 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_in__set__conv__nth,axiom,
% 218.31/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.31/218.69 <=> ? [B_i] :
% 218.31/218.69 ( 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)))
% 218.31/218.69 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_lists__eq__set,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_set__conv__nth,axiom,
% 218.31/218.69 ! [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))))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_finite__lists__length__eq,axiom,
% 218.31/218.69 ! [V_na_2,V_A_2,T_b] :
% 218.31/218.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.31/218.69 => 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_na_2))))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_set__sublist,axiom,
% 218.31/218.69 ! [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))))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listrel__iff__zip,axiom,
% 218.31/218.69 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.69 <=> ( 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)
% 218.31/218.69 & ! [B_x] :
% 218.31/218.69 ( 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))))
% 218.31/218.69 => 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)) ) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_select__weigth__select,axiom,
% 218.31/218.69 ! [T_b,V_xs_2] :
% 218.31/218.69 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 218.31/218.69 => 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) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_lists_ONil,axiom,
% 218.31/218.69 ! [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))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listrel__Nil2,axiom,
% 218.31/218.69 ! [V_r_2,V_xs_2,T_b] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.69 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listrel__Nil1,axiom,
% 218.31/218.69 ! [V_r_2,V_xs_2,T_b] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.31/218.69 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_set__empty2,axiom,
% 218.31/218.69 ! [V_xs_2,T_b] :
% 218.31/218.69 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 218.31/218.69 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_set__empty,axiom,
% 218.31/218.69 ! [V_xs_2,T_b] :
% 218.31/218.69 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.31/218.69 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map__is__Nil__conv,axiom,
% 218.31/218.69 ! [V_xs_2,V_f_2,T_b,T_c] :
% 218.31/218.69 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 218.31/218.69 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map_Osimps_I1_J,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_Nil__is__map__conv,axiom,
% 218.31/218.69 ! [V_xs_2,V_f_2,T_c,T_b] :
% 218.31/218.69 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 218.31/218.69 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_zip__map__fst__snd,axiom,
% 218.31/218.69 ! [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 ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map__snd__zip,axiom,
% 218.31/218.69 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 218.31/218.69 ( 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)
% 218.31/218.69 => 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 ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_zip__eq__conv,axiom,
% 218.31/218.69 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 218.31/218.69 ( 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)
% 218.31/218.69 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 218.31/218.69 <=> ( 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
% 218.31/218.69 & 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 ) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map__fst__zip,axiom,
% 218.31/218.69 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 218.31/218.69 ( 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)
% 218.31/218.69 => 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 ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listrelp_ONil,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listrelp_Oequations_I1_J,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_sublist__empty,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_list_Osize_I1_J,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_list_Osize_I3_J,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_length__0__conv,axiom,
% 218.31/218.69 ! [V_xs_2,T_b] :
% 218.31/218.69 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.69 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_length__zip,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_list_Osimps_I2_J,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_list_Osimps_I3_J,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_zip__Nil,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_zip_Osimps_I1_J,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_sublist__nil,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_take__zip,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_take__Nil,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_take__eq__Nil,axiom,
% 218.31/218.69 ! [V_xs_2,V_na_2,T_b] :
% 218.31/218.69 ( hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 218.31/218.69 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.69 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_take__0,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_take__Cons,axiom,
% 218.31/218.69 ! [V_xs_2,V_x_2,V_na_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_na_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_na_2) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_zip__same__conv__map,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_length__greater__0__conv,axiom,
% 218.31/218.69 ! [V_xs_2,T_b] :
% 218.31/218.69 ( 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)))
% 218.31/218.69 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_take__1__Cons,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map__zip__map,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_map__zip__map2,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_zip__Cons__Cons,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_not__listrel1__Nil,axiom,
% 218.31/218.69 ! [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))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_not__Nil__listrel1,axiom,
% 218.31/218.69 ! [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))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_zip__map__map,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_zip__map1,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_zip__map2,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listrel_ONil,axiom,
% 218.31/218.69 ! [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))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_lexord__Nil__right,axiom,
% 218.31/218.69 ! [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))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_Nil2__notin__lex,axiom,
% 218.31/218.69 ! [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))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_Nil__notin__lex,axiom,
% 218.31/218.69 ! [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))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_list__eq__iff__zip__eq,axiom,
% 218.31/218.69 ! [T_b,V_ys_2,V_xs_2] :
% 218.31/218.69 ( V_xs_2 = V_ys_2
% 218.31/218.69 <=> ( 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)
% 218.31/218.69 & ! [B_x] :
% 218.31/218.69 ( 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))))
% 218.31/218.69 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_zip__same,axiom,
% 218.31/218.69 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 218.31/218.69 ( 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))))
% 218.31/218.69 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.31/218.69 & V_a_2 = V_b_2 ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_set__zip__leftD,axiom,
% 218.31/218.69 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 218.31/218.69 ( 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))))
% 218.31/218.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_set__zip__rightD,axiom,
% 218.31/218.69 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 218.31/218.69 ( 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))))
% 218.31/218.69 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_in__set__zipE,axiom,
% 218.31/218.69 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 218.31/218.69 ( 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))))
% 218.31/218.69 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.31/218.69 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_nth__zip,axiom,
% 218.31/218.69 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 218.31/218.69 ( 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)))
% 218.31/218.69 => ( 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)))
% 218.31/218.69 => 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)) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_sublist__singleton,axiom,
% 218.31/218.69 ! [V_x_2,T_b,V_A_2] :
% 218.31/218.69 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 218.31/218.69 => 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)) )
% 218.31/218.69 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 218.31/218.69 => 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) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_lists__empty,axiom,
% 218.31/218.69 ! [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))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_take__Cons_H,axiom,
% 218.31/218.69 ! [V_xs,V_x,T_a,V_n] :
% 218.31/218.69 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.69 => 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) )
% 218.31/218.69 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.69 => 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)) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_select,axiom,
% 218.31/218.69 ! [V_s_2,T_b,V_xs_2] :
% 218.31/218.69 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 218.31/218.69 => 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))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listrel__Nil,axiom,
% 218.31/218.69 ! [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))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_set__Cons__sing__Nil,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_take__Cons__number__of,axiom,
% 218.31/218.69 ! [V_xs,V_x,T_a,V_v] :
% 218.31/218.69 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.69 => 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) )
% 218.31/218.69 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.69 => 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)) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_set__zip,axiom,
% 218.31/218.69 ! [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)))))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listset_Osimps_I1_J,axiom,
% 218.31/218.69 ! [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))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_select__weight__member,axiom,
% 218.31/218.69 ! [V_s_2,V_xs_2,T_b] :
% 218.31/218.69 ( 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))))
% 218.31/218.69 => 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)))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listsum__simps_I1_J,axiom,
% 218.31/218.69 ! [T_a] :
% 218.31/218.69 ( class_Groups_Omonoid__add(T_a)
% 218.31/218.69 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listsum__simps_I2_J,axiom,
% 218.31/218.69 ! [V_xs,V_x,T_a] :
% 218.31/218.69 ( class_Groups_Omonoid__add(T_a)
% 218.31/218.69 => 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)) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listsum__0,axiom,
% 218.31/218.69 ! [V_xs_2,T_c,T_b] :
% 218.31/218.69 ( class_Groups_Omonoid__add(T_b)
% 218.31/218.69 => 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) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listsum__addf,axiom,
% 218.31/218.69 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 218.31/218.69 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.69 => 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))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listsum__const__mult,axiom,
% 218.31/218.69 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 218.31/218.69 ( class_Rings_Osemiring__0(T_b)
% 218.31/218.69 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listsum__mult__const,axiom,
% 218.31/218.69 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 218.31/218.69 ( class_Rings_Osemiring__0(T_b)
% 218.31/218.69 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_c_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_c_2) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listsum__subtractf,axiom,
% 218.31/218.69 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 218.31/218.69 ( class_Groups_Oab__group__add(T_b)
% 218.31/218.69 => 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))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listsum__abs,axiom,
% 218.31/218.69 ! [V_xs_2,T_b] :
% 218.31/218.69 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 218.31/218.69 => 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)))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_uminus__listsum__map,axiom,
% 218.31/218.69 ! [V_xs_2,V_f_2,T_c,T_b] :
% 218.31/218.69 ( class_Groups_Oab__group__add(T_b)
% 218.31/218.69 => 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)) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listsum__triv,axiom,
% 218.31/218.69 ! [V_xs_2,V_r_2,T_c,T_b] :
% 218.31/218.69 ( class_Rings_Osemiring__1(T_b)
% 218.31/218.69 => 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) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listset_Osimps_I2_J,axiom,
% 218.31/218.69 ! [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)) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listsum__setsum__nth,axiom,
% 218.31/218.69 ! [V_xs_2,T_b] :
% 218.31/218.69 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.31/218.69 => 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))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_pick__member,axiom,
% 218.31/218.69 ! [V_xs_2,T_b,V_i_2] :
% 218.31/218.69 ( 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))))
% 218.31/218.69 => 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)))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_select__weight__def,axiom,
% 218.31/218.69 ! [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))) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_zip__Cons,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_zip__Cons1,axiom,
% 218.31/218.69 ! [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) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 218.31/218.69 ! [V_ns_2] :
% 218.31/218.69 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.31/218.69 <=> ! [B_x] :
% 218.31/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 218.31/218.69 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_elem__le__listsum__nat,axiom,
% 218.31/218.69 ! [V_ns,V_k] :
% 218.31/218.69 ( 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)))
% 218.31/218.69 => 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))) ) ).
% 218.31/218.69
% 218.31/218.69 fof(fact_list__size__conv__listsum,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list_Osimps_I5_J,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list_Osimps_I4_J,axiom,
% 218.59/218.69 ! [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 ).
% 218.59/218.69
% 218.59/218.69 fof(fact_upto_Opsimps,axiom,
% 218.59/218.69 ! [V_j_2,V_i_2] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 218.59/218.69 => 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)) )
% 218.59/218.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 218.59/218.69 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_anamorph_Osimps,axiom,
% 218.59/218.69 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 218.59/218.69 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 218.59/218.69 => 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) )
% 218.59/218.69 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_atLeastAtMost__upto,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__upto,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_upto__empty,axiom,
% 218.59/218.69 ! [V_i,V_j] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 218.59/218.69 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 218.59/218.69 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 218.59/218.69 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 218.59/218.69 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 218.59/218.69 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_upto_Osimps,axiom,
% 218.59/218.69 ! [V_j,V_i] :
% 218.59/218.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 218.59/218.69 => 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)) )
% 218.59/218.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 218.59/218.69 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_atLeastLessThan__upto,axiom,
% 218.59/218.69 ! [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)))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_greaterThanAtMost__upto,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_upto__rec__number__of,axiom,
% 218.59/218.69 ! [V_n,V_m] :
% 218.59/218.69 ( ( 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)))
% 218.59/218.69 => 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))) )
% 218.59/218.69 & ( ~ 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)))
% 218.59/218.69 => 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) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_greaterThanLessThan__upto,axiom,
% 218.59/218.69 ! [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)))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listsum__update__nat,axiom,
% 218.59/218.69 ! [V_n,V_ns,V_k] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sublist__Cons,axiom,
% 218.59/218.69 ! [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)))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__eq__Cons__conv,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 218.59/218.69 ( 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)
% 218.59/218.69 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 218.59/218.69 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 218.59/218.69 | ? [B_ys_H] :
% 218.59/218.69 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 218.59/218.69 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_Cons__eq__append__conv,axiom,
% 218.59/218.69 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( 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)
% 218.59/218.69 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 218.59/218.69 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 218.59/218.69 | ? [B_ys_H] :
% 218.59/218.69 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 218.59/218.69 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append1__eq__conv,axiom,
% 218.59/218.69 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 <=> ( V_xs_2 = V_ys_2
% 218.59/218.69 & V_x_2 = V_y_2 ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listsum__append,axiom,
% 218.59/218.69 ! [V_ys,V_xs,T_a] :
% 218.59/218.69 ( class_Groups_Omonoid__add(T_a)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_Cons__eq__appendI,axiom,
% 218.59/218.69 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 218.59/218.69 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 218.59/218.69 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 218.59/218.69 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__update__code_I3_J,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__Cons,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__update__code_I2_J,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__update__length,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__append,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_zip__update,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__update__beyond,axiom,
% 218.59/218.69 ! [V_x,V_i,V_xs,T_a] :
% 218.59/218.69 ( 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))
% 218.59/218.69 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_nth__list__update__neq,axiom,
% 218.59/218.69 ! [V_x,V_xs,T_a,V_j,V_i] :
% 218.59/218.69 ( V_i != V_j
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__update__id,axiom,
% 218.59/218.69 ! [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 ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__update__append,axiom,
% 218.59/218.69 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 218.59/218.69 ( ( 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)))
% 218.59/218.69 => 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) )
% 218.59/218.69 & ( ~ 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)))
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__update__append1,axiom,
% 218.59/218.69 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__list__update,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__append,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_eq__Nil__appendI,axiom,
% 218.59/218.69 ! [T_a,V_ys,V_xs] :
% 218.59/218.69 ( V_xs = V_ys
% 218.59/218.69 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__update__code_I1_J,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__update_Osimps_I1_J,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__update__nonempty,axiom,
% 218.59/218.69 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 218.59/218.69 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 218.59/218.69 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__self__conv2,axiom,
% 218.59/218.69 ! [V_ys_2,V_xs_2,T_b] :
% 218.59/218.69 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 218.59/218.69 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__self__conv,axiom,
% 218.59/218.69 ! [V_ys_2,V_xs_2,T_b] :
% 218.59/218.69 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 218.59/218.69 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__is__Nil__conv,axiom,
% 218.59/218.69 ! [V_ys_2,V_xs_2,T_b] :
% 218.59/218.69 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 218.59/218.69 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 218.59/218.69 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_self__append__conv2,axiom,
% 218.59/218.69 ! [V_xs_2,T_b,V_ys_2] :
% 218.59/218.69 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 218.59/218.69 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_self__append__conv,axiom,
% 218.59/218.69 ! [V_ys_2,T_b,V_xs_2] :
% 218.59/218.69 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 218.59/218.69 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__Nil2,axiom,
% 218.59/218.69 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 218.59/218.69
% 218.59/218.69 fof(fact_Nil__is__append__conv,axiom,
% 218.59/218.69 ! [V_ys_2,V_xs_2,T_b] :
% 218.59/218.69 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 218.59/218.69 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 218.59/218.69 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__Nil,axiom,
% 218.59/218.69 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 218.59/218.69
% 218.59/218.69 fof(fact_zip__append,axiom,
% 218.59/218.69 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 218.59/218.69 ( 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)
% 218.59/218.69 => ( 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)
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_map__append,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_map__update,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_update__zip,axiom,
% 218.59/218.69 ! [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))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__assoc,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__eq__append__conv2,axiom,
% 218.59/218.69 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 218.59/218.69 ( 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)
% 218.59/218.69 <=> ? [B_us] :
% 218.59/218.69 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 218.59/218.69 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 218.59/218.69 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 218.59/218.69 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_same__append__eq,axiom,
% 218.59/218.69 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 218.59/218.69 ( 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)
% 218.59/218.69 <=> V_ys_2 = V_zs_2 ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__same__eq,axiom,
% 218.59/218.69 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 218.59/218.69 ( 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)
% 218.59/218.69 <=> V_ys_2 = V_zs_2 ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__update__overwrite,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__update__swap,axiom,
% 218.59/218.69 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 218.59/218.69 ( V_i != V_i_H
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__eq__appendI,axiom,
% 218.59/218.69 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 218.59/218.69 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 218.59/218.69 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 218.59/218.69 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__in__lists__conv,axiom,
% 218.59/218.69 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 218.59/218.69 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_nth__append__length,axiom,
% 218.59/218.69 ! [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 ).
% 218.59/218.69
% 218.59/218.69 fof(fact_nth__append__length__plus,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_take__append,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__listrel1I,axiom,
% 218.59/218.69 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 218.59/218.69 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.59/218.69 & V_us_2 = V_vs_2 )
% 218.59/218.69 | ( V_xs_2 = V_ys_2
% 218.59/218.69 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) )
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__update__subsetI,axiom,
% 218.59/218.69 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 218.59/218.69 ( 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))
% 218.59/218.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__update__subset__insert,axiom,
% 218.59/218.69 ! [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)))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_lexord__append__leftI,axiom,
% 218.59/218.69 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_nth__list__update,axiom,
% 218.59/218.69 ! [V_x,V_j,V_xs,T_a,V_i] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => ( ( V_i = V_j
% 218.59/218.69 => 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 )
% 218.59/218.69 & ( V_i != V_j
% 218.59/218.69 => 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) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__update__same__conv,axiom,
% 218.59/218.69 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 218.59/218.69 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_nth__list__update__eq,axiom,
% 218.59/218.69 ! [V_x,V_xs,T_a,V_i] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => 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 ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__update_Osimps_I2_J,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_nth__append,axiom,
% 218.59/218.69 ! [V_ys,V_xs,T_a,V_n] :
% 218.59/218.69 ( ( 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)))
% 218.59/218.69 => 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) )
% 218.59/218.69 & ( ~ 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)))
% 218.59/218.69 => 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))) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__update__memI,axiom,
% 218.59/218.69 ! [V_x_2,V_xs_2,T_b,V_na_2] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 218.59/218.69 => 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_na_2),V_x_2)))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sublist__append,axiom,
% 218.59/218.69 ! [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)))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listrel1I,axiom,
% 218.59/218.69 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 218.59/218.69 ( hBOOL(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))
% 218.59/218.69 => ( 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))
% 218.59/218.69 => ( 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))
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_lexord__append__left__rightI,axiom,
% 218.59/218.69 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 218.59/218.69 ( 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))
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_take__Suc__conv__app__nth,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_i] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 218.59/218.69 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.59/218.69 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.59/218.69 & V_x_2 = V_y_2 )
% 218.59/218.69 | ( V_xs_2 = V_ys_2
% 218.59/218.69 & hBOOL(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)) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listrel1__iff__update,axiom,
% 218.59/218.69 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.59/218.69 <=> ? [B_y,B_n] :
% 218.59/218.69 ( 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))
% 218.59/218.69 & 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)))
% 218.59/218.69 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_nat__list__def,axiom,
% 218.59/218.69 ! [V_l_2] :
% 218.59/218.69 ( c_List_Onat__list(V_l_2)
% 218.59/218.69 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listrel1E,axiom,
% 218.59/218.69 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.59/218.69 => ~ ! [B_x,B_y] :
% 218.59/218.69 ( 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))
% 218.59/218.69 => ! [B_us,B_vs] :
% 218.59/218.69 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 218.59/218.69 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_lexord__append__leftD,axiom,
% 218.59/218.69 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.59/218.69 => ( ! [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))
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate1__def,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_upd__conv__take__nth__drop,axiom,
% 218.59/218.69 ! [V_a,V_xs,T_a,V_i] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__rotate1,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_in__set__dropD,axiom,
% 218.59/218.69 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2))))
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__drop__subset,axiom,
% 218.59/218.69 ! [V_xs_2,V_na_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_na_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__map,axiom,
% 218.59/218.69 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_na_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_na_2),V_xs_2)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__zip,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__drop,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__0,axiom,
% 218.59/218.69 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__take,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_take__drop,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__Nil,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate1__is__Nil__conv,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 218.59/218.69 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__rotate1,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__drop,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_nth__via__drop,axiom,
% 218.59/218.69 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 218.59/218.69 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 218.59/218.69 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__1__Cons,axiom,
% 218.59/218.69 ! [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 ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__Suc__Cons,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__take__drop__id,axiom,
% 218.59/218.69 ! [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 ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__drop__subset__set__drop,axiom,
% 218.59/218.69 ! [V_xs_2,T_b,V_m_2,V_na_2] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2))
% 218.59/218.69 => 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_na_2),V_xs_2)))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__eq__Nil,axiom,
% 218.59/218.69 ! [V_xs_2,V_na_2,T_b] :
% 218.59/218.69 ( hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 218.59/218.69 <=> 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_na_2)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__all,axiom,
% 218.59/218.69 ! [V_n,V_xs,T_a] :
% 218.59/218.69 ( 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))
% 218.59/218.69 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__append,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__eq__conv__conj,axiom,
% 218.59/218.69 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 218.59/218.69 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 218.59/218.69 <=> ( 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)
% 218.59/218.69 & 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) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__Cons,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,V_na_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_na_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_na_2) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__Cons_H,axiom,
% 218.59/218.69 ! [V_xs,V_x,T_a,V_n] :
% 218.59/218.69 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.69 => 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) )
% 218.59/218.69 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.69 => 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) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_nth__drop,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_i,V_n] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__eq__append__conv__if,axiom,
% 218.59/218.69 ! [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] :
% 218.59/218.69 ( 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)
% 218.59/218.69 <=> ( ( 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)))
% 218.59/218.69 => ( 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)
% 218.59/218.69 & 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) ) )
% 218.59/218.69 & ( ~ 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)))
% 218.59/218.69 => ( 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
% 218.59/218.69 & 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 ) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_nth__drop_H,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_i] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate__simps,axiom,
% 218.59/218.69 ! [V_xs,V_x,T_b,T_a] :
% 218.59/218.69 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 218.59/218.69 & 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__Cons__number__of,axiom,
% 218.59/218.69 ! [V_xs,V_x,T_a,V_v] :
% 218.59/218.69 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.69 => 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) )
% 218.59/218.69 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.69 => 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) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_take__add,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_j,V_i] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate1__length01,axiom,
% 218.59/218.69 ! [V_xs,T_a] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_zip__append2,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_zip__append1,axiom,
% 218.59/218.69 ! [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))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_id__take__nth__drop,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_i] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_take__hd__drop,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_n] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_hd__drop__conv__nth,axiom,
% 218.59/218.69 ! [V_n,T_a,V_xs] :
% 218.59/218.69 ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => ( 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)))
% 218.59/218.69 => 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) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_hd_Osimps,axiom,
% 218.59/218.69 ! [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 ).
% 218.59/218.69
% 218.59/218.69 fof(fact_hd__map,axiom,
% 218.59/218.69 ! [V_f_2,T_c,T_b,V_xs_2] :
% 218.59/218.69 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_hd__append2,axiom,
% 218.59/218.69 ! [V_ys,T_a,V_xs] :
% 218.59/218.69 ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_hd__append,axiom,
% 218.59/218.69 ! [V_ys,T_a,V_xs] :
% 218.59/218.69 ( ( V_xs = c_List_Olist_ONil(T_a)
% 218.59/218.69 => 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) )
% 218.59/218.69 & ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => 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) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_hd__in__set,axiom,
% 218.59/218.69 ! [T_b,V_xs_2] :
% 218.59/218.69 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_hd__conv__nth,axiom,
% 218.59/218.69 ! [T_a,V_xs] :
% 218.59/218.69 ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate1__hd__tl,axiom,
% 218.59/218.69 ! [T_a,V_xs] :
% 218.59/218.69 ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__list__update,axiom,
% 218.59/218.69 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.69 => ( ~ 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))))))
% 218.59/218.69 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__drop,axiom,
% 218.59/218.69 ! [V_i,V_xs,T_a] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 218.59/218.69 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__tl,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_tl__drop,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_take__tl,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_map__tl,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__zipI1,axiom,
% 218.59/218.69 ! [V_ys,T_b,V_xs,T_a] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 218.59/218.69 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__zipI2,axiom,
% 218.59/218.69 ! [V_xs,T_b,V_ys,T_a] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 218.59/218.69 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__sublistI,axiom,
% 218.59/218.69 ! [V_I_2,V_xs_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.69 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__tl,axiom,
% 218.59/218.69 ! [V_xs,T_a] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 218.59/218.69 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__take,axiom,
% 218.59/218.69 ! [V_i,V_xs,T_a] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 218.59/218.69 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_tl_Osimps_I1_J,axiom,
% 218.59/218.69 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct_Osimps_I1_J,axiom,
% 218.59/218.69 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__upto,axiom,
% 218.59/218.69 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_tl_Osimps_I2_J,axiom,
% 218.59/218.69 ! [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 ).
% 218.59/218.69
% 218.59/218.69 fof(fact_tl__append2,axiom,
% 218.59/218.69 ! [V_ys,T_a,V_xs] :
% 218.59/218.69 ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct1__rotate,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 218.59/218.69 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__Suc,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct_Osimps_I2_J,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 218.59/218.69 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_card__distinct,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( 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)
% 218.59/218.69 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__card,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__conv__nth,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.69 <=> ! [B_i] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => ! [B_j] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => ( B_i != B_j
% 218.59/218.69 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_nth__eq__iff__index__eq,axiom,
% 218.59/218.69 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.69 => ( 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)))
% 218.59/218.69 => ( 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)))
% 218.59/218.69 => ( 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)
% 218.59/218.69 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__map,axiom,
% 218.59/218.69 ! [V_xs_2,V_f_2,T_c,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 218.59/218.69 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 218.59/218.69 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.59/218.69 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_tl__append,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__append,axiom,
% 218.59/218.69 ! [V_ys_2,V_xs_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 218.59/218.69 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.69 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 218.59/218.69 & 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__tl,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 218.59/218.69 ! [V_f_2,V_xs_2,T_b,T_c] :
% 218.59/218.69 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.59/218.69 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_tl__take,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_take__Suc,axiom,
% 218.59/218.69 ! [V_n,T_a,V_xs] :
% 218.59/218.69 ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 218.59/218.69 ! [V_f_2,V_A_2,T_b,T_c] :
% 218.59/218.69 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.59/218.69 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.59/218.69 => 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))))) )
% 218.59/218.69 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.59/218.69 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_Nitpick_Ocard_H__def,axiom,
% 218.59/218.69 ! [V_A_2,T_b] :
% 218.59/218.69 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.59/218.69 => 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)))) )
% 218.59/218.69 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.59/218.69 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_fold1__set,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 218.59/218.69 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_hd__rotate__conv__nth,axiom,
% 218.59/218.69 ! [V_n,T_a,V_xs] :
% 218.59/218.69 ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__rotate,axiom,
% 218.59/218.69 ! [V_xs_2,V_na_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2)))
% 218.59/218.69 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__rotate,axiom,
% 218.59/218.69 ! [V_xs_2,V_na_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate__map,axiom,
% 218.59/218.69 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(c_List_Orotate(T_b,V_na_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_na_2),V_xs_2)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_foldl__map,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_foldl__assoc,axiom,
% 218.59/218.69 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 218.59/218.69 ( class_Groups_Osemigroup__add(T_b)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate__rotate,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_foldl__absorb0,axiom,
% 218.59/218.69 ! [V_zs_2,V_x_2,T_b] :
% 218.59/218.69 ( class_Groups_Omonoid__add(T_b)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_start__le__sum,axiom,
% 218.59/218.69 ! [V_ns_2,V_na_2,V_m_2] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 218.59/218.69 => 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_na_2),V_ns_2))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate__is__Nil__conv,axiom,
% 218.59/218.69 ! [V_xs_2,V_na_2,T_b] :
% 218.59/218.69 ( hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 218.59/218.69 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_foldl__Nil,axiom,
% 218.59/218.69 ! [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 ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__rotate,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_foldl__Cons,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_foldl__append,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate1__rotate__swap,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate__def,axiom,
% 218.59/218.69 ! [V_na_2,T_b] : c_List_Orotate(T_b,V_na_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_na_2),c_List_Orotate1(T_b)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate__conv__mod,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate__Suc,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listsum__foldl,axiom,
% 218.59/218.69 ! [T_b] :
% 218.59/218.69 ( class_Groups_Omonoid__add(T_b)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sum__eq__0__conv,axiom,
% 218.59/218.69 ! [V_ns_2,V_m_2] :
% 218.59/218.69 ( 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)
% 218.59/218.69 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.69 & ! [B_x] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 218.59/218.69 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate0,axiom,
% 218.59/218.69 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate__add,axiom,
% 218.59/218.69 ! [V_na_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_na_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_na_2)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate__id,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_n] :
% 218.59/218.69 ( 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)
% 218.59/218.69 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate__length01,axiom,
% 218.59/218.69 ! [V_n,V_xs,T_a] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 218.59/218.69 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 218.59/218.69 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_Sup__set__fold,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_Inf__set__fold,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_Sup__fin__set__fold,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( class_Lattices_Olattice(T_b)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_Inf__fin__set__fold,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( class_Lattices_Olattice(T_b)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_Min__fin__set__fold,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_Max__fin__set__fold,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_SUPR__set__fold,axiom,
% 218.59/218.69 ! [V_f_2,V_xs_2,T_c,T_b] :
% 218.59/218.69 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_INFI__set__fold,axiom,
% 218.59/218.69 ! [V_f_2,V_xs_2,T_c,T_b] :
% 218.59/218.69 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_elem__le__sum,axiom,
% 218.59/218.69 ! [V_ns_2,V_na_2] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_na_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_rotate__drop__take,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_lexord__append__rightI,axiom,
% 218.59/218.69 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 218.59/218.69 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_lexord__Nil__left,axiom,
% 218.59/218.69 ! [V_r_2,V_y_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.59/218.69 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_last__list__update,axiom,
% 218.59/218.69 ! [V_x,V_k,T_a,V_xs] :
% 218.59/218.69 ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => ( ( 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))
% 218.59/218.69 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 218.59/218.69 & ( 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))
% 218.59/218.69 => 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) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listsum__mono,axiom,
% 218.59/218.69 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 218.59/218.69 ( ( class_Groups_Omonoid__add(T_c)
% 218.59/218.69 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 218.59/218.69 => ( ! [B_x] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 218.59/218.69 => 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)))) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_last__map,axiom,
% 218.59/218.69 ! [V_f_2,T_c,T_b,V_xs_2] :
% 218.59/218.69 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_last_Osimps,axiom,
% 218.59/218.69 ! [V_x,T_a,V_xs] :
% 218.59/218.69 ( ( V_xs = c_List_Olist_ONil(T_a)
% 218.59/218.69 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 218.59/218.69 & ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_last__ConsR,axiom,
% 218.59/218.69 ! [V_x,T_a,V_xs] :
% 218.59/218.69 ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_last__ConsL,axiom,
% 218.59/218.69 ! [V_x,T_a,V_xs] :
% 218.59/218.69 ( V_xs = c_List_Olist_ONil(T_a)
% 218.59/218.69 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_last__appendL,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_ys] :
% 218.59/218.69 ( V_ys = c_List_Olist_ONil(T_a)
% 218.59/218.69 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_last__appendR,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_ys] :
% 218.59/218.69 ( V_ys != c_List_Olist_ONil(T_a)
% 218.59/218.69 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_last__append,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_ys] :
% 218.59/218.69 ( ( V_ys = c_List_Olist_ONil(T_a)
% 218.59/218.69 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 218.59/218.69 & ( V_ys != c_List_Olist_ONil(T_a)
% 218.59/218.69 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_last__in__set,axiom,
% 218.59/218.69 ! [T_b,V_as_2] :
% 218.59/218.69 ( V_as_2 != c_List_Olist_ONil(T_b)
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_last__snoc,axiom,
% 218.59/218.69 ! [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 ).
% 218.59/218.69
% 218.59/218.69 fof(fact_last__drop,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_n] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_last__conv__nth,axiom,
% 218.59/218.69 ! [T_a,V_xs] :
% 218.59/218.69 ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_lists_Osimps,axiom,
% 218.59/218.69 ! [V_A_2,V_a_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 218.59/218.69 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 218.59/218.69 | ? [B_a,B_l] :
% 218.59/218.69 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 218.59/218.69 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 218.59/218.69 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__size__pointwise,axiom,
% 218.59/218.69 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 218.59/218.69 ( ! [B_x] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_butlast__take,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_n] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_nth__take__lemma,axiom,
% 218.59/218.69 ! [V_ys,V_xs,T_a,V_k] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => ( 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)))
% 218.59/218.69 => ( ! [B_i] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 218.59/218.69 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 218.59/218.69 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__butlast,axiom,
% 218.59/218.69 ! [T_a,V_xs] :
% 218.59/218.69 ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 218.59/218.69 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__butlast,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_butlast__drop,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_in__set__butlastD,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_map__butlast,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_butlast_Osimps_I1_J,axiom,
% 218.59/218.69 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_butlast_Osimps_I2_J,axiom,
% 218.59/218.69 ! [V_x,T_a,V_xs] :
% 218.59/218.69 ( ( V_xs = c_List_Olist_ONil(T_a)
% 218.59/218.69 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 218.59/218.69 & ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_butlast__append,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_ys] :
% 218.59/218.69 ( ( V_ys = c_List_Olist_ONil(T_a)
% 218.59/218.69 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 218.59/218.69 & ( V_ys != c_List_Olist_ONil(T_a)
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_in__set__butlast__appendI,axiom,
% 218.59/218.69 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 218.59/218.69 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 218.59/218.69 => 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))))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_butlast__snoc,axiom,
% 218.59/218.69 ! [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 ).
% 218.59/218.69
% 218.59/218.69 fof(fact_take__butlast,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_n] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__butlast,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_butlast__conv__take,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_butlast__list__update,axiom,
% 218.59/218.69 ! [V_x,V_xs,T_a,V_k] :
% 218.59/218.69 ( ( 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))
% 218.59/218.69 => 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) )
% 218.59/218.69 & ( 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))
% 218.59/218.69 => 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) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__butlast__last__id,axiom,
% 218.59/218.69 ! [T_a,V_xs] :
% 218.59/218.69 ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.69 => 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 ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_snoc__eq__iff__butlast,axiom,
% 218.59/218.69 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 218.59/218.69 ( 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
% 218.59/218.69 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 218.59/218.69 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 218.59/218.69 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listsum__map__remove1,axiom,
% 218.59/218.69 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 218.59/218.69 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.59/218.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => 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)))) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__remove1__eq,axiom,
% 218.59/218.69 ! [V_x_2,V_xs_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.69 => 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)))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remove1_Osimps_I2_J,axiom,
% 218.59/218.69 ! [V_xs,T_a,V_y,V_x] :
% 218.59/218.69 ( ( V_x = V_y
% 218.59/218.69 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 218.59/218.69 & ( V_x != V_y
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remove1_Osimps_I1_J,axiom,
% 218.59/218.69 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remove1__commute,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__remove1__subset,axiom,
% 218.59/218.69 ! [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))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remove1__idem,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_notin__set__remove1,axiom,
% 218.59/218.69 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => ~ 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)))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_in__set__remove1,axiom,
% 218.59/218.69 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 218.59/218.69 ( V_a_2 != V_b_2
% 218.59/218.69 => ( 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))))
% 218.59/218.69 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__remove1,axiom,
% 218.59/218.69 ! [V_x,V_xs,T_a] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 218.59/218.69 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remove1__append,axiom,
% 218.59/218.69 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => 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) )
% 218.59/218.69 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__remove1,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => 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)) )
% 218.59/218.69 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => 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) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sorted__list__of__set__remove,axiom,
% 218.59/218.69 ! [V_x_2,V_A_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_partition__set,axiom,
% 218.59/218.69 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] :
% 218.59/218.69 ( c_List_Opartition(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sorted__list__of__set__empty,axiom,
% 218.59/218.69 ! [T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_partition__P,axiom,
% 218.59/218.69 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] :
% 218.59/218.69 ( c_List_Opartition(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 218.59/218.69 => ( ! [B_x] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 218.59/218.69 => hBOOL(hAPP(V_P_2,B_x)) )
% 218.59/218.69 & ! [B_x] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 218.59/218.69 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_partition_Osimps_I1_J,axiom,
% 218.59/218.69 ! [V_P_2,T_b] : c_List_Opartition(T_b,V_P_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_partition_Osimps_I2_J,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,V_P_2,T_b] : c_List_Opartition(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_P_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_P_2,V_xs_2)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sorted__list__of__set__insert,axiom,
% 218.59/218.69 ! [V_x_2,V_A_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.59/218.69 => 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)))))) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_lists__IntI,axiom,
% 218.59/218.69 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 218.59/218.69 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listsp_ONil,axiom,
% 218.59/218.69 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_append__in__listsp__conv,axiom,
% 218.59/218.69 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 218.59/218.69 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 218.59/218.69 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_insort__key_Osimps_I1_J,axiom,
% 218.59/218.69 ! [V_x_2,V_f_2,T_b,T_c] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_c)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listsp_Oequations_I2_J,axiom,
% 218.59/218.69 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 218.59/218.69 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 218.59/218.69 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_insort__key_Osimps_I2_J,axiom,
% 218.59/218.69 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => ( ( 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)))
% 218.59/218.69 => 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)) )
% 218.59/218.69 & ( ~ 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)))
% 218.59/218.69 => 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)) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__insort,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_c)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listsp_Oequations_I1_J,axiom,
% 218.59/218.69 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_insort__not__Nil,axiom,
% 218.59/218.69 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_c)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_insort__key__left__comm,axiom,
% 218.59/218.69 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listsp__conj__eq,axiom,
% 218.59/218.69 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 218.59/218.69 ( 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))
% 218.59/218.69 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 218.59/218.69 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_insort__left__comm,axiom,
% 218.59/218.69 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_fun__left__comm__insort,axiom,
% 218.59/218.69 ! [T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listsp__inf__eq,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listsp__infI,axiom,
% 218.59/218.69 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 218.59/218.69 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_in__listsp__conv__set,axiom,
% 218.59/218.69 ! [V_xs_2,V_A_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 218.59/218.69 <=> ! [B_x] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__insort,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_c)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remove1__insort,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => 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 ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__insort,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_c)
% 218.59/218.69 => ( 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)))
% 218.59/218.69 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listsp__mono,axiom,
% 218.59/218.69 ! [V_B_2,V_A_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_listsp__lists__eq,axiom,
% 218.59/218.69 ! [V_x_2,V_A_2,T_b] :
% 218.59/218.69 ( 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))
% 218.59/218.69 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_lists__Int__eq,axiom,
% 218.59/218.69 ! [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))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_insort__insert__insort__key,axiom,
% 218.59/218.69 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => ( ~ 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))))
% 218.59/218.69 => 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) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_insort__insert__insort,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => 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) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__insort__insert,axiom,
% 218.59/218.69 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_c)
% 218.59/218.69 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.69 => 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))) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_insort__insert__triv,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__insort__insert,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_insort__insert__key__triv,axiom,
% 218.59/218.69 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => ( 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))))
% 218.59/218.69 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_product_Osimps_I2_J,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__def,axiom,
% 218.59/218.69 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 218.59/218.69 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 218.59/218.69 <=> ( 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)
% 218.59/218.69 & ! [B_x] :
% 218.59/218.69 ( 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))))
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__append,axiom,
% 218.59/218.69 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_c,V_xs_2,T_b] :
% 218.59/218.69 ( 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)
% 218.59/218.69 => ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2))
% 218.59/218.69 <=> ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 218.59/218.69 & c_List_Olist__all2(T_b,T_c,V_P_2,V_us_2,V_vs_2) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__appendI,axiom,
% 218.59/218.69 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_P_2,T_c,T_b] :
% 218.59/218.69 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2)
% 218.59/218.69 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_c_2,V_d_2)
% 218.59/218.69 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_c_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__Cons,axiom,
% 218.59/218.69 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_c,T_b] :
% 218.59/218.69 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2))
% 218.59/218.69 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 218.59/218.69 & c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__lengthD,axiom,
% 218.59/218.69 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 218.59/218.69 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__Nil2,axiom,
% 218.59/218.69 ! [V_xs_2,V_P_2,T_c,T_b] :
% 218.59/218.69 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,c_List_Olist_ONil(T_c))
% 218.59/218.69 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__Nil,axiom,
% 218.59/218.69 ! [V_ys_2,V_P_2,T_c,T_b] :
% 218.59/218.69 ( c_List_Olist__all2(T_b,T_c,V_P_2,c_List_Olist_ONil(T_b),V_ys_2)
% 218.59/218.69 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__takeI,axiom,
% 218.59/218.69 ! [V_na_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 218.59/218.69 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 218.59/218.69 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_na_2),V_ys_2)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__eq,axiom,
% 218.59/218.69 ! [T_b,V_ys_2,V_xs_2] :
% 218.59/218.69 ( V_xs_2 = V_ys_2
% 218.59/218.69 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__map1,axiom,
% 218.59/218.69 ! [V_bs_2,V_as_2,V_f_2,T_d,V_P_2,T_c,T_b] :
% 218.59/218.69 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2)
% 218.59/218.69 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_P_2),V_f_2),V_as_2,V_bs_2) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__map2,axiom,
% 218.59/218.69 ! [V_bs_2,V_f_2,T_d,V_as_2,V_P_2,T_c,T_b] :
% 218.59/218.69 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2))
% 218.59/218.69 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_P_2)),V_f_2),V_as_2,V_bs_2) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__dropI,axiom,
% 218.59/218.69 ! [V_na_2,V_bs_2,V_as_2,V_P_2,T_c,T_b] :
% 218.59/218.69 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,V_bs_2)
% 218.59/218.69 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_na_2),V_bs_2)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_product_Osimps_I1_J,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__nthD2,axiom,
% 218.59/218.69 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 218.59/218.69 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 218.59/218.69 => ( 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)))
% 218.59/218.69 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__nthD,axiom,
% 218.59/218.69 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 218.59/218.69 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 218.59/218.69 => ( 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)))
% 218.59/218.69 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__conv__all__nth,axiom,
% 218.59/218.69 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 218.59/218.69 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 218.59/218.69 <=> ( 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)
% 218.59/218.69 & ! [B_i] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__update__cong2,axiom,
% 218.59/218.69 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 218.59/218.69 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 218.59/218.69 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 218.59/218.69 => ( 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)))
% 218.59/218.69 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2__update__cong,axiom,
% 218.59/218.69 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_c,V_xs_2,T_b,V_i_2] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 218.59/218.69 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 218.59/218.69 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__product,axiom,
% 218.59/218.69 ! [V_ys,T_b,V_xs,T_a] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 218.59/218.69 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 218.59/218.69 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_product__list__set,axiom,
% 218.59/218.69 ! [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))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sublists__powset,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__sublists,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sublists_Osimps_I1_J,axiom,
% 218.59/218.69 ! [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))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sublists_Osimps_I2_J,axiom,
% 218.59/218.69 ! [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))))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__set__sublists,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.69 => 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)))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__n__lists,axiom,
% 218.59/218.69 ! [V_xs_2,V_na_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_na_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_na_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)))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_enum__the__def,axiom,
% 218.59/218.69 ! [V_P_2,T_b] : c_Enum_Oenum__the(T_b,V_P_2) = c_HOL_OThe(T_b,V_P_2) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__n__lists,axiom,
% 218.59/218.69 ! [V_n,V_xs,T_a] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 218.59/218.69 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_n__lists__Nil,axiom,
% 218.59/218.69 ! [T_a,V_n] :
% 218.59/218.69 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.69 => 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))) )
% 218.59/218.69 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.69 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_n__lists_Osimps_I1_J,axiom,
% 218.59/218.69 ! [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))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__n__lists,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__n__lists__elem,axiom,
% 218.59/218.69 ! [V_xs_2,V_na_2,V_ys_2,T_b] :
% 218.59/218.69 ( 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_na_2,V_xs_2))))
% 218.59/218.69 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_list__all2I,axiom,
% 218.59/218.69 ! [V_P_2,V_b_2,V_a_2,T_c,T_b] :
% 218.59/218.69 ( ! [B_x] :
% 218.59/218.69 ( 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))))
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) )
% 218.59/218.69 => ( 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)
% 218.59/218.69 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_all__nth__imp__all__set,axiom,
% 218.59/218.69 ! [V_x_2,V_P_2,V_xs_2,T_b] :
% 218.59/218.69 ( ! [B_i] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 218.59/218.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_,axiom,
% 218.59/218.69 ! [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)))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 218.59/218.69 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 218.59/218.69 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__remdups,axiom,
% 218.59/218.69 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__remdups__leq,axiom,
% 218.59/218.69 ! [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))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remdups__id__iff__distinct,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 218.59/218.69 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__remdups__id,axiom,
% 218.59/218.69 ! [V_xs,T_a] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 218.59/218.69 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remove1__remdups,axiom,
% 218.59/218.69 ! [V_x,V_xs,T_a] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__remdups,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__remdups__eq,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( 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)
% 218.59/218.69 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remdups__remdups,axiom,
% 218.59/218.69 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remdups__map__remdups,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remdups_Osimps_I1_J,axiom,
% 218.59/218.69 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remdups__eq__nil__right__iff,axiom,
% 218.59/218.69 ! [V_x_2,T_b] :
% 218.59/218.69 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 218.59/218.69 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remdups__eq__nil__iff,axiom,
% 218.59/218.69 ! [V_x_2,T_b] :
% 218.59/218.69 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 218.59/218.69 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remdups_Osimps_I2_J,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => 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) )
% 218.59/218.69 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => 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)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__remdups__card__conv,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__remdups__concat,axiom,
% 218.59/218.69 ! [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))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_Nil__eq__concat__conv,axiom,
% 218.59/218.69 ! [V_xss_2,T_b] :
% 218.59/218.69 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 218.59/218.69 <=> ! [B_x] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 218.59/218.69 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_concat__eq__Nil__conv,axiom,
% 218.59/218.69 ! [V_xss_2,T_b] :
% 218.59/218.69 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 218.59/218.69 <=> ! [B_x] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 218.59/218.69 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_concat_Osimps_I2_J,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sort__key__simps_I1_J,axiom,
% 218.59/218.69 ! [V_f_2,T_b,T_c] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_c)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_concat_Osimps_I1_J,axiom,
% 218.59/218.69 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_map__concat,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_concat__conv__foldl,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_foldl__conv__concat,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__sort,axiom,
% 218.59/218.69 ! [V_xs_2,V_f_2,T_b,T_c] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_c)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__sort,axiom,
% 218.59/218.69 ! [V_xs_2,V_f_2,T_b,T_c] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_c)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__sort,axiom,
% 218.59/218.69 ! [V_xs_2,V_f_2,T_b,T_c] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_c)
% 218.59/218.69 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 218.59/218.69 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__concat,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__concat,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sort__key__simps_I2_J,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_c)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_concat__append,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sort__foldl__insort,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_b)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_concat__eq__concat__iff,axiom,
% 218.59/218.69 ! [V_ys_2,V_xs_2,T_b] :
% 218.59/218.69 ( ! [B_x] :
% 218.59/218.69 ( 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))))
% 218.59/218.69 => 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)) )
% 218.59/218.69 => ( 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)
% 218.59/218.69 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 218.59/218.69 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_concat__injective,axiom,
% 218.59/218.69 ! [V_ys_2,V_xs_2,T_b] :
% 218.59/218.69 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 218.59/218.69 => ( 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)
% 218.59/218.69 => ( ! [B_x] :
% 218.59/218.69 ( 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))))
% 218.59/218.69 => 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)) )
% 218.59/218.69 => V_xs_2 = V_ys_2 ) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_concat__map__singleton,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_n__lists_Osimps_I2_J,axiom,
% 218.59/218.69 ! [V_xs_2,V_na_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_na_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_na_2,V_xs_2))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_transpose_Osimps_I3_J,axiom,
% 218.59/218.69 ! [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))))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_transpose__aux__filter__head,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_filter__concat,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_filter__sort,axiom,
% 218.59/218.69 ! [V_xs_2,V_f_2,V_P_2,T_b,T_c] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_c)
% 218.59/218.69 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__filter,axiom,
% 218.59/218.69 ! [V_P_2,V_xs_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.69 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_filter__id__conv,axiom,
% 218.59/218.69 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.69 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = V_xs_2
% 218.59/218.69 <=> ! [B_x] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_filter__is__subset,axiom,
% 218.59/218.69 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sum__length__filter__compl,axiom,
% 218.59/218.69 ! [V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__filter__le,axiom,
% 218.59/218.69 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_partition__filter2,axiom,
% 218.59/218.69 ! [V_xs_2,V_P_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_P_2)),V_xs_2) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_partition__filter1,axiom,
% 218.59/218.69 ! [V_xs_2,V_P_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_partition__filter__conv,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_filter__filter,axiom,
% 218.59/218.69 ! [V_xs_2,V_Q_2,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Q_2)),V_P_2)),V_xs_2) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remove1__filter__not,axiom,
% 218.59/218.69 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 218.59/218.69 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.69 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_filter__remove1,axiom,
% 218.59/218.69 ! [V_xs_2,V_x_2,V_Q_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Q_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_filter__insort__triv,axiom,
% 218.59/218.69 ! [V_xs_2,V_f_2,T_b,V_x_2,V_P_2,T_c] :
% 218.59/218.69 ( class_Orderings_Olinorder(T_c)
% 218.59/218.69 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.69 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_filter__map,axiom,
% 218.59/218.69 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2)),V_xs_2)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_transpose_Osimps_I1_J,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_filter_Osimps_I1_J,axiom,
% 218.59/218.69 ! [V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_filter_Osimps_I2_J,axiom,
% 218.59/218.69 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 218.59/218.69 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.69 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) )
% 218.59/218.69 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.69 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_filter__append,axiom,
% 218.59/218.69 ! [V_ys_2,V_xs_2,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_filter__empty__conv,axiom,
% 218.59/218.69 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.69 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 218.59/218.69 <=> ! [B_x] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__filter__map,axiom,
% 218.59/218.69 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2)),V_xs_2)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_remdups__filter,axiom,
% 218.59/218.69 ! [V_xs_2,V_P_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oremdups(T_b,V_xs_2)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_transpose_Osimps_I2_J,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_nth__transpose,axiom,
% 218.59/218.69 ! [V_xs_2,T_b,V_i_2] :
% 218.59/218.69 ( 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))))
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_transpose__map__map,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__filter,axiom,
% 218.59/218.69 ! [V_xs_2,V_P_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_P_2)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__filter__less,axiom,
% 218.59/218.69 ! [V_P_2,V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.69 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__minus__filter__out,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_filter__in__sublist,axiom,
% 218.59/218.69 ! [V_s_2,V_xs_2,T_b] :
% 218.59/218.69 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_transpose__empty,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 218.59/218.69 <=> ! [B_x] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 218.59/218.69 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__filter__conv__card,axiom,
% 218.59/218.69 ! [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))))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_transpose__aux__filter__tail,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_transpose_Opsimps_I3_J,axiom,
% 218.59/218.69 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => 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))))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_transpose_Opsimps_I2_J,axiom,
% 218.59/218.69 ! [V_xss_2,T_b] :
% 218.59/218.69 ( 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)))
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sublist__shift__lemma__Suc,axiom,
% 218.59/218.69 ! [V_is_2,V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_P_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_P_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_pick__drop__zero,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_select__weigth__drop__zero,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_transpose_Opsimps_I1_J,axiom,
% 218.59/218.69 ! [T_b] :
% 218.59/218.69 ( 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))))
% 218.59/218.69 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_transpose__max__length,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_transpose__aux__max,axiom,
% 218.59/218.69 ! [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)))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_foldr_Osimps_I1_J,axiom,
% 218.59/218.69 ! [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 ).
% 218.59/218.69
% 218.59/218.69 fof(fact_foldr_Osimps_I2_J,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_foldr__append,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_foldr__conv__foldl,axiom,
% 218.59/218.69 ! [V_a_2,V_xs_2,T_b] :
% 218.59/218.69 ( class_Groups_Oab__semigroup__add(T_b)
% 218.59/218.69 => 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) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_foldr__map,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_foldl__foldr1__lemma,axiom,
% 218.59/218.69 ! [V_xs_2,V_a_2,T_b] :
% 218.59/218.69 ( class_Groups_Omonoid__add(T_b)
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_foldl__foldr1,axiom,
% 218.59/218.69 ! [V_xs_2,T_b] :
% 218.59/218.69 ( class_Groups_Omonoid__add(T_b)
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__transpose,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sublist__def,axiom,
% 218.59/218.69 ! [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))))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sublist__shift__lemma,axiom,
% 218.59/218.69 ! [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))))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_length__upt,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_atLeastLessThan__upt,axiom,
% 218.59/218.69 ! [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)) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_set__upt,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_upt__Suc,axiom,
% 218.59/218.69 ! [V_j,V_i] :
% 218.59/218.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.59/218.69 => 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))) )
% 218.59/218.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.59/218.69 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_upt__Suc__append,axiom,
% 218.59/218.69 ! [V_j,V_i] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_upt__add__eq__append,axiom,
% 218.59/218.69 ! [V_k,V_j,V_i] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.59/218.69 => 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))) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_upt__rec,axiom,
% 218.59/218.69 ! [V_j,V_i] :
% 218.59/218.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 218.59/218.69 => 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)) )
% 218.59/218.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 218.59/218.69 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_upt__conv__Cons,axiom,
% 218.59/218.69 ! [V_j,V_i] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_upt__0,axiom,
% 218.59/218.69 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_upt__conv__Nil,axiom,
% 218.59/218.69 ! [V_i,V_j] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 218.59/218.69 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_upt__eq__Nil__conv,axiom,
% 218.59/218.69 ! [V_j_2,V_i_2] :
% 218.59/218.69 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 218.59/218.69 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.69 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_drop__upt,axiom,
% 218.59/218.69 ! [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) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_hd__upt,axiom,
% 218.59/218.69 ! [V_j,V_i] :
% 218.59/218.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 218.59/218.69 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_take__upt,axiom,
% 218.59/218.69 ! [V_n,V_m,V_i] :
% 218.59/218.69 ( 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))
% 218.59/218.69 => 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)) ) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_sorted__list__of__set__range,axiom,
% 218.59/218.69 ! [V_na_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_na_2)) = c_List_Oupt(V_m_2,V_na_2) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_distinct__upt,axiom,
% 218.59/218.69 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 218.59/218.69
% 218.59/218.69 fof(fact_upt__rec__number__of,axiom,
% 218.59/218.69 ! [V_n,V_m] :
% 218.59/218.69 ( ( 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)))
% 218.59/218.69 => 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))) )
% 218.59/218.70 & ( ~ 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)))
% 218.59/218.70 => 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) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_upt__eq__Cons__conv,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 218.59/218.70 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 218.59/218.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 218.59/218.70 & V_i_2 = V_x_2
% 218.59/218.70 & 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 ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_last__upt,axiom,
% 218.59/218.70 ! [V_j,V_i] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 218.59/218.70 => 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)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_map__Suc__upt,axiom,
% 218.59/218.70 ! [V_na_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_na_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_atLeastAtMost__upt,axiom,
% 218.59/218.70 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_na_2,hAPP(c_Nat_OSuc,V_m_2))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_atLeast__upt,axiom,
% 218.59/218.70 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_nth__upt,axiom,
% 218.59/218.70 ! [V_j,V_k,V_i] :
% 218.59/218.70 ( 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))
% 218.59/218.70 => 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) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_greaterThanAtMost__upt,axiom,
% 218.59/218.70 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_greaterThanLessThan__upt,axiom,
% 218.59/218.70 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_na_2),V_m_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_atMost__upto,axiom,
% 218.59/218.70 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_map__nth,axiom,
% 218.59/218.70 ! [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 ).
% 218.59/218.70
% 218.59/218.70 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 218.59/218.70 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 218.59/218.70 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.59/218.70 => 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_na_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_na_2))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 218.59/218.70 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 218.59/218.70 ( class_Groups_Ocomm__monoid__add(T_b)
% 218.59/218.70 => 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_na_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_na_2))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_nth__map__upt,axiom,
% 218.59/218.70 ! [V_f_2,T_b,V_m_2,V_na_2,V_i_2] :
% 218.59/218.70 ( 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_na_2),V_m_2)))
% 218.59/218.70 => 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_na_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_transpose__rectangle,axiom,
% 218.59/218.70 ! [V_na_2,T_b,V_xs_2] :
% 218.59/218.70 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 218.59/218.70 => V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 218.59/218.70 => ( ! [B_i] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => 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_na_2 )
% 218.59/218.70 => 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_na_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_insort__key__remove1,axiom,
% 218.59/218.70 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_c)
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 218.59/218.70 => ( 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
% 218.59/218.70 => 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 ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted_ONil,axiom,
% 218.59/218.70 ! [T_a] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_a)
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__single,axiom,
% 218.59/218.70 ! [V_x,T_a] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_a)
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__upt,axiom,
% 218.59/218.70 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__sort,axiom,
% 218.59/218.70 ! [V_xs_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__insort__insert,axiom,
% 218.59/218.70 ! [V_x_2,V_xs_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 218.59/218.70 => 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)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__tl,axiom,
% 218.59/218.70 ! [V_xs,T_a] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_a)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__upto,axiom,
% 218.59/218.70 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__take,axiom,
% 218.59/218.70 ! [V_n,V_xs,T_a] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_a)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__drop,axiom,
% 218.59/218.70 ! [V_n,V_xs,T_a] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_a)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__remove1,axiom,
% 218.59/218.70 ! [V_a,V_xs,T_a] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_a)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__insort,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( 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))
% 218.59/218.70 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted_Oequations_I1_J,axiom,
% 218.59/218.70 ! [T_a] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_a)
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__many__eq,axiom,
% 218.59/218.70 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( 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)))
% 218.59/218.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 218.59/218.70 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__many,axiom,
% 218.59/218.70 ! [V_zs,V_y,V_x,T_a] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_a)
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 218.59/218.70 => 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))) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__butlast,axiom,
% 218.59/218.70 ! [V_xs,T_a] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_a)
% 218.59/218.70 => ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__remdups,axiom,
% 218.59/218.70 ! [V_l,T_a] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_a)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__distinct__set__unique,axiom,
% 218.59/218.70 ! [V_ys_2,V_xs_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 218.59/218.70 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 218.59/218.70 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 218.59/218.70 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 218.59/218.70 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__sort__key,axiom,
% 218.59/218.70 ! [V_xs_2,V_f_2,T_c,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => 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))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__insort__key,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( 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)))
% 218.59/218.70 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__map__remove1,axiom,
% 218.59/218.70 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 218.59/218.70 => 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))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__insort__insert__key,axiom,
% 218.59/218.70 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 218.59/218.70 => 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))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__map__same,axiom,
% 218.59/218.70 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => 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))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__filter,axiom,
% 218.59/218.70 ! [V_P_2,V_xs_2,V_f_2,T_c,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_P_2),V_xs_2))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__same,axiom,
% 218.59/218.70 ! [V_xs_2,V_g_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => 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)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__Cons,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 218.59/218.70 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 218.59/218.70 & ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__append,axiom,
% 218.59/218.70 ! [V_ys_2,V_xs_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 218.59/218.70 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 218.59/218.70 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 218.59/218.70 & ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => ! [B_xa] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 218.59/218.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_filter__insort,axiom,
% 218.59/218.70 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_c,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 218.59/218.70 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 => hAPP(c_List_Ofilter(T_c,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_P_2),V_xs_2)) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted_Oequations_I2_J,axiom,
% 218.59/218.70 ! [V_a1_2,V_a2_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 218.59/218.70 <=> ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 218.59/218.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 218.59/218.70 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__list__of__set,axiom,
% 218.59/218.70 ! [V_A_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.59/218.70 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 218.59/218.70 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 218.59/218.70 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_insort__remove1,axiom,
% 218.59/218.70 ! [V_xs_2,V_a_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 218.59/218.70 => 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 ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__nth__mono,axiom,
% 218.59/218.70 ! [V_j,V_i,V_xs,T_a] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_a)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.59/218.70 => ( 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)))
% 218.59/218.70 => 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))) ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__equals__nth__mono,axiom,
% 218.59/218.70 ! [V_xs_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 218.59/218.70 <=> ! [B_j] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => ! [B_i] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 218.59/218.70 => 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))) ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_map__sorted__distinct__set__unique,axiom,
% 218.59/218.70 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_c)
% 218.59/218.70 => ( 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)))
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 218.59/218.70 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 218.59/218.70 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 218.59/218.70 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 218.59/218.70 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_transpose__column,axiom,
% 218.59/218.70 ! [V_i_2,V_xs_2,T_b] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => ( 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)))
% 218.59/218.70 => 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) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_nth__nth__transpose__sorted,axiom,
% 218.59/218.70 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => ( 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))))
% 218.59/218.70 => ( 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))))
% 218.59/218.70 => 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) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_inj__on__rev,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_distinct__rev,axiom,
% 218.59/218.70 ! [V_xs_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 218.59/218.70 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev_Osimps_I1_J,axiom,
% 218.59/218.70 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_Nil__is__rev__conv,axiom,
% 218.59/218.70 ! [V_xs_2,T_b] :
% 218.59/218.70 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 218.59/218.70 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__is__Nil__conv,axiom,
% 218.59/218.70 ! [V_xs_2,T_b] :
% 218.59/218.70 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 218.59/218.70 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_singleton__rev__conv,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( 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)
% 218.59/218.70 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__singleton__conv,axiom,
% 218.59/218.70 ! [V_x_2,V_xs_2,T_b] :
% 218.59/218.70 ( 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))
% 218.59/218.70 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__append,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__concat,axiom,
% 218.59/218.70 ! [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))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__map,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__filter,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_zip__rev,axiom,
% 218.59/218.70 ! [V_ys,T_b,V_xs,T_a] :
% 218.59/218.70 ( 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)
% 218.59/218.70 => 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)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_set__rev,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__all2__rev1,axiom,
% 218.59/218.70 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 218.59/218.70 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 218.59/218.70 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__all2__rev,axiom,
% 218.59/218.70 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 218.59/218.70 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2))
% 218.59/218.70 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__is__rev__conv,axiom,
% 218.59/218.70 ! [V_ys_2,V_xs_2,T_b] :
% 218.59/218.70 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 218.59/218.70 <=> V_xs_2 = V_ys_2 ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__swap,axiom,
% 218.59/218.70 ! [V_ys_2,V_xs_2,T_b] :
% 218.59/218.70 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 218.59/218.70 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__rev__ident,axiom,
% 218.59/218.70 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 218.59/218.70
% 218.59/218.70 fof(fact_listsum__rev,axiom,
% 218.59/218.70 ! [V_xs,T_a] :
% 218.59/218.70 ( class_Groups_Ocomm__monoid__add(T_a)
% 218.59/218.70 => 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) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_length__rev,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_foldr__foldl,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_foldl__foldr,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__eq__Cons__iff,axiom,
% 218.59/218.70 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 218.59/218.70 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 218.59/218.70 <=> 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))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev_Osimps_I2_J,axiom,
% 218.59/218.70 ! [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))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_last__rev,axiom,
% 218.59/218.70 ! [T_a,V_xs] :
% 218.59/218.70 ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.70 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_hd__rev,axiom,
% 218.59/218.70 ! [T_a,V_xs] :
% 218.59/218.70 ( V_xs != c_List_Olist_ONil(T_a)
% 218.59/218.70 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__transpose,axiom,
% 218.59/218.70 ! [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)))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__foldl__cons,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__drop,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__take,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rotate__rev,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__nth,axiom,
% 218.59/218.70 ! [V_xs,T_a,V_n] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => 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))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__update,axiom,
% 218.59/218.70 ! [V_y,V_xs,T_a,V_k] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => 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) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__rev__nth__mono,axiom,
% 218.59/218.70 ! [V_j,V_i,V_xs,T_a] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_a)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 218.59/218.70 => ( 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)))
% 218.59/218.70 => 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))) ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_foldr__max__sorted,axiom,
% 218.59/218.70 ! [V_y_2,V_xs_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 218.59/218.70 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 218.59/218.70 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 218.59/218.70 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 218.59/218.70 => 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) ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_length__transpose__sorted,axiom,
% 218.59/218.70 ! [V_xs_2,T_b] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 218.59/218.70 => 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) )
% 218.59/218.70 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 218.59/218.70 => 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))) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_transpose__column__length,axiom,
% 218.59/218.70 ! [V_i_2,V_xs_2,T_b] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => ( 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)))
% 218.59/218.70 => 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)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_transpose__transpose,axiom,
% 218.59/218.70 ! [V_xs_2,T_b] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => 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) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 218.59/218.70 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__takeWhile,axiom,
% 218.59/218.70 ! [V_P_2,V_xs_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_length__takeWhile__le,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_set__takeWhileD,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,V_x_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))))
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_takeWhile__eq__all__conv,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = V_xs_2
% 218.59/218.70 <=> ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_zip__takeWhile__snd,axiom,
% 218.59/218.70 ! [V_ys_2,V_P_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_P_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_P_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_zip__takeWhile__fst,axiom,
% 218.59/218.70 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_P_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_takeWhile__map,axiom,
% 218.59/218.70 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2),V_xs_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_takeWhile__tail,axiom,
% 218.59/218.70 ! [V_l_2,V_xs_2,T_b,V_x_2,V_P_2] :
% 218.59/218.70 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_P_2,V_xs_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 218.59/218.70 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 218.59/218.70 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) )
% 218.59/218.70 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 218.59/218.70 ! [V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_takeWhile__eq__take,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),V_xs_2) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_distinct__takeWhile,axiom,
% 218.59/218.70 ! [V_P_2,V_xs_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.70 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_return__list__def,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_takeWhile__append1,axiom,
% 218.59/218.70 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_P_2,V_xs_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_nth__length__takeWhile,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 218.59/218.70 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_takeWhile__nth,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b,V_j_2] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))))
% 218.59/218.70 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_takeWhile__not__last,axiom,
% 218.59/218.70 ! [T_b,V_xs_2] :
% 218.59/218.70 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 218.59/218.70 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.70 => 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) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 218.59/218.70 ! [V_ta_2,V_xs_2,V_f_2,T_c,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( 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)))
% 218.59/218.70 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_ta_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_ta_2)),V_f_2),V_xs_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 218.59/218.70 ! [V_l] :
% 218.59/218.70 ( c_List_Onat__list(V_l)
% 218.59/218.70 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 218.59/218.70 ! [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))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_embed__list__def,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_takeWhile__neq__rev,axiom,
% 218.59/218.70 ! [V_x_2,V_xs_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => 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))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_dropWhile__neq__rev,axiom,
% 218.59/218.70 ! [V_x_2,V_xs_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => 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))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_takeWhile__dropWhile__id,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),c_List_OdropWhile(T_b,V_P_2,V_xs_2)) = V_xs_2 ).
% 218.59/218.70
% 218.59/218.70 fof(fact_dropWhile__map,axiom,
% 218.59/218.70 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2),V_xs_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__dropWhile,axiom,
% 218.59/218.70 ! [V_P_2,V_xs_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_P_2,V_xs_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_length__dropWhile__le,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 218.59/218.70 <=> ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 218.59/218.70 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 218.59/218.70 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_P_2,V_xs_2) )
% 218.59/218.70 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 218.59/218.70 ! [V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_distinct__dropWhile,axiom,
% 218.59/218.70 ! [V_P_2,V_xs_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 218.59/218.70 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_hd__dropWhile,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 218.59/218.70 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_dropWhile__append1,axiom,
% 218.59/218.70 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)),V_ys_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 218.59/218.70 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 218.59/218.70 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))
% 218.59/218.70 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_dropWhile__eq__drop,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),V_xs_2) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_dropWhile__nth,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b,V_j_2] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_P_2,V_xs_2))))
% 218.59/218.70 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_listsum__map__filter,axiom,
% 218.59/218.70 ! [V_f_2,V_P_2,V_xs_2,T_b,T_c] :
% 218.59/218.70 ( class_Groups_Omonoid__add(T_c)
% 218.59/218.70 => ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => ( ~ hBOOL(hAPP(V_P_2,B_x))
% 218.59/218.70 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 218.59/218.70 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted__nth__monoI,axiom,
% 218.59/218.70 ! [V_xs,T_a] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_a)
% 218.59/218.70 => ( ! [B_i,B_j] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 218.59/218.70 => ( 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)))
% 218.59/218.70 => 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))) ) )
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_takeWhile__eq__filter,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2))))
% 218.59/218.70 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 218.59/218.70 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 218.59/218.70 ! [V_P_2,V_xs_2,T_b,V_na_2] :
% 218.59/218.70 ( ! [B_i] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 218.59/218.70 => ( 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)))
% 218.59/218.70 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 218.59/218.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 218.59/218.70 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) )
% 218.59/218.70 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_length__takeWhile__less__P__nth,axiom,
% 218.59/218.70 ! [V_xs_2,T_b,V_P_2,V_j_2] :
% 218.59/218.70 ( ! [B_i] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 218.59/218.70 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 218.59/218.70 => ( 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)))
% 218.59/218.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted_Osimps,axiom,
% 218.59/218.70 ! [V_a_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 218.59/218.70 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 218.59/218.70 | ? [B_xs,B_x] :
% 218.59/218.70 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 218.59/218.70 & ! [B_xa] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 218.59/218.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 218.59/218.70 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_map__removeAll__inj__on,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => 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)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_set__removeAll,axiom,
% 218.59/218.70 ! [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)))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_removeAll__append,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_removeAll__id,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_removeAll__filter__not__eq,axiom,
% 218.59/218.70 ! [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))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_removeAll__filter__not,axiom,
% 218.59/218.70 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 218.59/218.70 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_removeAll_Osimps_I2_J,axiom,
% 218.59/218.70 ! [V_xs,T_a,V_y,V_x] :
% 218.59/218.70 ( ( V_x = V_y
% 218.59/218.70 => 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) )
% 218.59/218.70 & ( V_x != V_y
% 218.59/218.70 => 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)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_removeAll_Osimps_I1_J,axiom,
% 218.59/218.70 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_distinct__removeAll,axiom,
% 218.59/218.70 ! [V_x,V_xs,T_a] :
% 218.59/218.70 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 218.59/218.70 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_distinct__remove1__removeAll,axiom,
% 218.59/218.70 ! [V_x,V_xs,T_a] :
% 218.59/218.70 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 218.59/218.70 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_map__removeAll__inj,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 218.59/218.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.59/218.70 => 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)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_not__in__set__insert,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => 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) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_List_Oinsert__def,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 218.59/218.70 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => 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) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_distinct__insert,axiom,
% 218.59/218.70 ! [V_x,V_xs,T_a] :
% 218.59/218.70 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 218.59/218.70 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_insert__remdups,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_in__set__insert,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_List_Oset__insert,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_insert__Nil,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_maps__def,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_concat__map__maps,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_maps__simps_I2_J,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_maps__simps_I1_J,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_distinct__concat,axiom,
% 218.59/218.70 ! [V_xs_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 218.59/218.70 => ( ! [B_ys] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 218.59/218.70 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 218.59/218.70 => ( ! [B_ys] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 218.59/218.70 => ! [B_zs] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 218.59/218.70 => ( B_ys != B_zs
% 218.59/218.70 => 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)) ) ) )
% 218.59/218.70 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_measures__lesseq,axiom,
% 218.59/218.70 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => ( hBOOL(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)))
% 218.59/218.70 => hBOOL(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)))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_wf__measures,axiom,
% 218.59/218.70 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_in__measures_I1_J,axiom,
% 218.59/218.70 ! [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))))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_measures__def,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_in__measures_I2_J,axiom,
% 218.59/218.70 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 218.59/218.70 ( hBOOL(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))))
% 218.59/218.70 <=> ( 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)))
% 218.59/218.70 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 218.59/218.70 & hBOOL(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))) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_measures__less,axiom,
% 218.59/218.70 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => hBOOL(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)))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_foldl__apply,axiom,
% 218.59/218.70 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 218.59/218.70 ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => 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)) )
% 218.59/218.70 => 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)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_order__fun_I2_J,axiom,
% 218.59/218.70 ! [V_g_2,V_f_2,T_b,T_c] :
% 218.59/218.70 ( ( class_Orderings_Oorder(T_c)
% 218.59/218.70 & class_Enum_Oenum(T_b) )
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 218.59/218.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 218.59/218.70 & 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)))) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_enum__ex,axiom,
% 218.59/218.70 ! [V_P_2,T_b] :
% 218.59/218.70 ( class_Enum_Oenum(T_b)
% 218.59/218.70 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2))
% 218.59/218.70 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_exists__code,axiom,
% 218.59/218.70 ! [V_P_2,T_b] :
% 218.59/218.70 ( class_Enum_Oenum(T_b)
% 218.59/218.70 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 218.59/218.70 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_enum__ex__prod__def,axiom,
% 218.59/218.70 ! [V_P_2,T_b,T_c] :
% 218.59/218.70 ( ( class_Enum_Oenum(T_c)
% 218.59/218.70 & class_Enum_Oenum(T_b) )
% 218.59/218.70 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_P_2))
% 218.59/218.70 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_zip__obtain__same__length,axiom,
% 218.59/218.70 ! [V_P_2,V_ys_2,T_c,V_xs_2,T_b] :
% 218.59/218.70 ( ( 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))
% 218.59/218.70 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) )
% 218.59/218.70 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_small__lazy__list_Osimps,axiom,
% 218.59/218.70 ! [V_d_2,T_b] :
% 218.59/218.70 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 218.59/218.70 => 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)))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_small__lazy__prod__def,axiom,
% 218.59/218.70 ! [V_d,T_b,T_a] :
% 218.59/218.70 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 218.59/218.70 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 218.59/218.70 => 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)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_New__DSequence_Opos__union__def,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_dropWhile__append2,axiom,
% 218.59/218.70 ! [V_ys_2,V_P_2,V_xs_2,T_b] :
% 218.59/218.70 ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => hBOOL(hAPP(V_P_2,B_x)) )
% 218.59/218.70 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_P_2,V_ys_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_pos__union__def,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_small__lazy_H_Osimps,axiom,
% 218.59/218.70 ! [V_i,V_d] :
% 218.59/218.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 218.59/218.70 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 218.59/218.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 218.59/218.70 => 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)))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_small__lazy__int__def,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_small__lazy_H_Opsimps,axiom,
% 218.59/218.70 ! [V_i_2,V_d_2] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 218.59/218.70 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 218.59/218.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 218.59/218.70 => 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)))) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__all2__all__nthI,axiom,
% 218.59/218.70 ! [V_P_2,V_b_2,T_c,V_a_2,T_b] :
% 218.59/218.70 ( 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)
% 218.59/218.70 => ( ! [B_n] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) )
% 218.59/218.70 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_small__lazy_H_Opinduct,axiom,
% 218.59/218.70 ! [V_P_2,V_a1_2,V_a0_2] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => ( ! [B_d,B_i] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 218.59/218.70 => hBOOL(hAPP(hAPP(V_P_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )
% 218.59/218.70 => hBOOL(hAPP(hAPP(V_P_2,B_d),B_i)) ) )
% 218.59/218.70 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_finite__sorted__distinct__unique,axiom,
% 218.59/218.70 ! [V_A_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.59/218.70 => ? [B_x] :
% 218.59/218.70 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 218.59/218.70 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 218.59/218.70 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 218.59/218.70 & ! [B_y] :
% 218.59/218.70 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 218.59/218.70 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 218.59/218.70 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 218.59/218.70 => B_y = B_x ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_takeWhile__append2,axiom,
% 218.59/218.70 ! [V_ys_2,V_P_2,V_xs_2,T_b] :
% 218.59/218.70 ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => hBOOL(hAPP(V_P_2,B_x)) )
% 218.59/218.70 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_P_2,V_ys_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_insort__is__Cons,axiom,
% 218.59/218.70 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_c)
% 218.59/218.70 => ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 218.59/218.70 => 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) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_Cons__eq__filter__iff,axiom,
% 218.59/218.70 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2)
% 218.59/218.70 <=> ? [B_us,B_vs] :
% 218.59/218.70 ( 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))
% 218.59/218.70 & ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 218.59/218.70 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 218.59/218.70 & hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_filter__eq__Cons__iff,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_b] :
% 218.59/218.70 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 218.59/218.70 <=> ? [B_us,B_vs] :
% 218.59/218.70 ( 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))
% 218.59/218.70 & ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 218.59/218.70 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 218.59/218.70 & hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_order__fun_I1_J,axiom,
% 218.59/218.70 ! [V_g_2,V_f_2,T_b,T_c] :
% 218.59/218.70 ( ( class_Orderings_Oorder(T_c)
% 218.59/218.70 & class_Enum_Oenum(T_b) )
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 218.59/218.70 <=> 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))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__ball__nth,axiom,
% 218.59/218.70 ! [V_P_2,V_xs_2,T_b,V_na_2] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 218.59/218.70 => ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => hBOOL(hAPP(V_P_2,B_x)) )
% 218.59/218.70 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_enum__all,axiom,
% 218.59/218.70 ! [V_P_2,T_b] :
% 218.59/218.70 ( class_Enum_Oenum(T_b)
% 218.59/218.70 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2))
% 218.59/218.70 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_all__code,axiom,
% 218.59/218.70 ! [V_P_2,T_b] :
% 218.59/218.70 ( class_Enum_Oenum(T_b)
% 218.59/218.70 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 218.59/218.70 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_enum__all__prod__def,axiom,
% 218.59/218.70 ! [V_P_2,T_b,T_c] :
% 218.59/218.70 ( ( class_Enum_Oenum(T_c)
% 218.59/218.70 & class_Enum_Oenum(T_b) )
% 218.59/218.70 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_P_2))
% 218.59/218.70 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sorted_OCons,axiom,
% 218.59/218.70 ! [V_x_2,V_xs_2,T_b] :
% 218.59/218.70 ( class_Orderings_Olinorder(T_b)
% 218.59/218.70 => ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 218.59/218.70 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 218.59/218.70 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__ex__length,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 218.59/218.70 <=> ? [B_n] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__ex__simps_I2_J,axiom,
% 218.59/218.70 ! [V_P_2,T_b] : ~ c_List_Olist__ex(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__ex__rev,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__ex(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 218.59/218.70 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__ex__iff,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 218.59/218.70 <=> ? [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__ex__append,axiom,
% 218.59/218.70 ! [V_ys_2,V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 218.59/218.70 <=> ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 218.59/218.70 | c_List_Olist__ex(T_b,V_P_2,V_ys_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__ex__simps_I1_J,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 218.59/218.70 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 | c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_in__set__conv__decomp__first,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 <=> ? [B_ys] :
% 218.59/218.70 ( ? [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))
% 218.59/218.70 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_in__set__conv__decomp__last,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 <=> ? [B_ys,B_zs] :
% 218.59/218.70 ( 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))
% 218.59/218.70 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_in__set__conv__decomp,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 <=> ? [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)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__all__length,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 218.59/218.70 <=> ! [B_n] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__all__simps_I2_J,axiom,
% 218.59/218.70 ! [V_P_2,T_b] : c_List_Olist__all(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_Ball__set__list__all,axiom,
% 218.59/218.70 ! [V_P_2,V_xs_2,T_b] :
% 218.59/218.70 ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => hBOOL(hAPP(V_P_2,B_x)) )
% 218.59/218.70 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__all__rev,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__all(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 218.59/218.70 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__all__iff,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 218.59/218.70 <=> ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__all__append,axiom,
% 218.59/218.70 ! [V_ys_2,V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 218.59/218.70 <=> ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 218.59/218.70 & c_List_Olist__all(T_b,V_P_2,V_ys_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__all__simps_I1_J,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 218.59/218.70 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 & c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__all__iff__raw,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 218.59/218.70 <=> ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__ex1__simps_I2_J,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__ex1(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 218.59/218.70 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2))),hAPP(c_fequal,V_x_2)),V_xs_2) )
% 218.59/218.70 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 => c_List_Olist__ex1(T_b,V_P_2,V_xs_2) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_length__splice,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_splice_Osimps_I3_J,axiom,
% 218.59/218.70 ! [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))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_splice__Nil2,axiom,
% 218.59/218.70 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__ex1__simps_I1_J,axiom,
% 218.59/218.70 ! [V_P_2,T_b] : ~ c_List_Olist__ex1(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_splice_Osimps_I1_J,axiom,
% 218.59/218.70 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__ex1__iff,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2)
% 218.59/218.70 <=> ? [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 & hBOOL(hAPP(V_P_2,B_x))
% 218.59/218.70 & ! [B_y] :
% 218.59/218.70 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 & hBOOL(hAPP(V_P_2,B_y)) )
% 218.59/218.70 => B_y = B_x ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_splice_Osimps_I2_J,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_acyclicP__converse,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( 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))))
% 218.59/218.70 <=> 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))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_tl__replicate,axiom,
% 218.59/218.70 ! [V_x,T_a,V_n] :
% 218.59/218.70 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.70 => 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) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_filter__replicate,axiom,
% 218.59/218.70 ! [V_na_2,T_b,V_x_2,V_P_2] :
% 218.59/218.70 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = c_List_Oreplicate(T_b,V_na_2,V_x_2) )
% 218.59/218.70 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 218.59/218.70 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_concat__replicate__trivial,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_replicate__empty,axiom,
% 218.59/218.70 ! [V_x_2,V_na_2,T_b] :
% 218.59/218.70 ( c_List_Oreplicate(T_b,V_na_2,V_x_2) = c_List_Olist_ONil(T_b)
% 218.59/218.70 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_empty__replicate,axiom,
% 218.59/218.70 ! [V_x_2,V_na_2,T_b] :
% 218.59/218.70 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_na_2,V_x_2)
% 218.59/218.70 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_replicate__0,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_map__replicate__const,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_map__replicate,axiom,
% 218.59/218.70 ! [V_x_2,V_na_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_na_2,V_x_2)) = c_List_Oreplicate(T_b,V_na_2,hAPP(V_f_2,V_x_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_rev__replicate,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_last__replicate,axiom,
% 218.59/218.70 ! [V_x,T_a,V_n] :
% 218.59/218.70 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.70 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_take__replicate,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_hd__replicate,axiom,
% 218.59/218.70 ! [V_x,T_a,V_n] :
% 218.59/218.70 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.70 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_drop__replicate,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_replicate__length__filter,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_zip__replicate,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_Ball__set__replicate,axiom,
% 218.59/218.70 ! [V_P_2,V_a_2,V_na_2,T_b] :
% 218.59/218.70 ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_a_2))))
% 218.59/218.70 => hBOOL(hAPP(V_P_2,B_x)) )
% 218.59/218.70 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 218.59/218.70 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_Bex__set__replicate,axiom,
% 218.59/218.70 ! [V_P_2,V_a_2,V_na_2,T_b] :
% 218.59/218.70 ( ? [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_a_2))))
% 218.59/218.70 & hBOOL(hAPP(V_P_2,B_x)) )
% 218.59/218.70 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 218.59/218.70 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_converse__join,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_converse__pred__comp,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_conversep__noteq,axiom,
% 218.59/218.70 ! [V_y_2,V_x_2,T_b] :
% 218.59/218.70 ( 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))
% 218.59/218.70 <=> V_x_2 != V_y_2 ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_conversepD,axiom,
% 218.59/218.70 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 218.59/218.70 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_conversep_Ointros,axiom,
% 218.59/218.70 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 218.59/218.70 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_conversep_Oequations,axiom,
% 218.59/218.70 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 218.59/218.70 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_conversep__iff,axiom,
% 218.59/218.70 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 218.59/218.70 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_conversep__conversep,axiom,
% 218.59/218.70 ! [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 ).
% 218.59/218.70
% 218.59/218.70 fof(fact_conversep__eq,axiom,
% 218.59/218.70 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 218.59/218.70
% 218.59/218.70 fof(fact_replicate__eq__replicate,axiom,
% 218.59/218.70 ! [V_y_2,V_na_2,V_x_2,V_m_2,T_b] :
% 218.59/218.70 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_na_2,V_y_2)
% 218.59/218.70 <=> ( V_m_2 = V_na_2
% 218.59/218.70 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.70 => V_x_2 = V_y_2 ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_converse__meet,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_length__replicate,axiom,
% 218.59/218.70 ! [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 ).
% 218.59/218.70
% 218.59/218.70 fof(fact_nth__replicate,axiom,
% 218.59/218.70 ! [V_x,T_a,V_n,V_i] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 218.59/218.70 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_append__replicate__commute,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_replicate__add,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_replicate__app__Cons__same,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_replicate__Suc,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_in__set__replicate,axiom,
% 218.59/218.70 ! [V_y_2,V_na_2,V_x_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_y_2))))
% 218.59/218.70 <=> ( V_x_2 = V_y_2
% 218.59/218.70 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_replicate__append__same,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_conversep__converse__eq,axiom,
% 218.59/218.70 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 218.59/218.70 ( 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))
% 218.59/218.70 <=> 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))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_map__replicate__trivial,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_set__replicate,axiom,
% 218.59/218.70 ! [V_x_2,T_b,V_na_2] :
% 218.59/218.70 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.70 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_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))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_set__replicate__conv__if,axiom,
% 218.59/218.70 ! [V_x_2,T_b,V_na_2] :
% 218.59/218.70 ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.70 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 218.59/218.70 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 218.59/218.70 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_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))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_set__replicate__Suc,axiom,
% 218.59/218.70 ! [V_x_2,V_na_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_na_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))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_eq__comp__r,axiom,
% 218.59/218.70 ! [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 ).
% 218.59/218.70
% 218.59/218.70 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 218.59/218.70 ! [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))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact__01,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_lazy__sequence_Oinject,axiom,
% 218.59/218.70 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 218.59/218.70 ( 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)
% 218.59/218.70 <=> ( V_a_2 = V_a_H_2
% 218.59/218.70 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 218.59/218.70 ! [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))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_size__code,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_lazy__sequence__size__code,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_seq__case,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_yieldn__def,axiom,
% 218.59/218.70 ! [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)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_refl__on__INTER,axiom,
% 218.59/218.70 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 218.59/218.70 ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 218.59/218.70 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 218.59/218.70 => 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)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_in__set__member,axiom,
% 218.59/218.70 ! [V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_member__rec_I2_J,axiom,
% 218.59/218.70 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_member__set,axiom,
% 218.59/218.70 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_member__rec_I1_J,axiom,
% 218.59/218.70 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 218.59/218.70 ( 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))
% 218.59/218.70 <=> ( V_x_2 = V_y_2
% 218.59/218.70 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_List_Omember__def,axiom,
% 218.59/218.70 ! [V_x_2,V_xs_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 218.59/218.70 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__ex1__iff__raw,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2)
% 218.59/218.70 <=> ? [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 & hBOOL(hAPP(V_P_2,B_x))
% 218.59/218.70 & ! [B_y] :
% 218.59/218.70 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 & hBOOL(hAPP(V_P_2,B_y)) )
% 218.59/218.70 => B_y = B_x ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_setsum__UNION__zero,axiom,
% 218.59/218.70 ! [V_f_2,V_S_2,T_b,T_c] :
% 218.59/218.70 ( class_Groups_Ocomm__monoid__add(T_c)
% 218.59/218.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 218.59/218.70 => ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 218.59/218.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 218.59/218.70 => ( ! [B_T1] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 218.59/218.70 => ! [B_T2] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 218.59/218.70 => ( B_T1 != B_T2
% 218.59/218.70 => ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 218.59/218.70 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 218.59/218.70 => 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) ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_THE__default__def,axiom,
% 218.59/218.70 ! [V_d_2,T_b,V_P_2] :
% 218.59/218.70 ( ( ? [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(V_P_2,B_x))
% 218.59/218.70 & ! [B_y] :
% 218.59/218.70 ( hBOOL(hAPP(V_P_2,B_y))
% 218.59/218.70 => B_y = B_x ) )
% 218.59/218.70 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = c_HOL_OThe(T_b,V_P_2) )
% 218.59/218.70 & ( ~ ? [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(V_P_2,B_x))
% 218.59/218.70 & ! [B_y] :
% 218.59/218.70 ( hBOOL(hAPP(V_P_2,B_y))
% 218.59/218.70 => B_y = B_x ) )
% 218.59/218.70 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = V_d_2 ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_SUP2__E,axiom,
% 218.59/218.70 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 218.59/218.70 => ~ ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.59/218.70 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_INF2__I,axiom,
% 218.59/218.70 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 218.59/218.70 ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.59/218.70 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 218.59/218.70 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_finite__maxlen,axiom,
% 218.59/218.70 ! [V_M_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 218.59/218.70 => ? [B_n] :
% 218.59/218.70 ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 218.59/218.70 => 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)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 218.59/218.70 ! [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 ).
% 218.59/218.70
% 218.59/218.70 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 218.59/218.70 ! [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) ).
% 218.59/218.70
% 218.59/218.70 fof(fact__02,axiom,
% 218.59/218.70 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__all__iff__all__interval__int,axiom,
% 218.59/218.70 ! [V_j_2,V_i_2,V_P_2] :
% 218.59/218.70 ( c_List_Olist__all(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2))
% 218.59/218.70 <=> c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 218.59/218.70 ! [V_j_2,V_i_2,V_P_2] :
% 218.59/218.70 ( c_List_Olist__ex(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2))
% 218.59/218.70 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_P_2),V_i_2,V_j_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_all__interval__int__def,axiom,
% 218.59/218.70 ! [V_j_2,V_i_2,V_P_2] :
% 218.59/218.70 ( c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2)
% 218.59/218.70 <=> ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 218.59/218.70 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_Image__Collect__split,axiom,
% 218.59/218.70 ! [V_A_2,V_P_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_P_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_P_2)))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_lexord__trans,axiom,
% 218.59/218.70 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 218.59/218.70 => ( c_Relation_Otrans(T_b,V_r_2)
% 218.59/218.70 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trans__less__than,axiom,
% 218.59/218.70 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trans__lex__prod,axiom,
% 218.59/218.70 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 218.59/218.70 ( c_Relation_Otrans(T_b,V_R1_2)
% 218.59/218.70 => ( c_Relation_Otrans(T_c,V_R2_2)
% 218.59/218.70 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_list__ex__iff__raw,axiom,
% 218.59/218.70 ! [V_xs_2,V_P_2,T_b] :
% 218.59/218.70 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 218.59/218.70 <=> ? [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_Bex__set__list__ex,axiom,
% 218.59/218.70 ! [V_P_2,V_xs_2,T_b] :
% 218.59/218.70 ( ? [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 218.59/218.70 & hBOOL(hAPP(V_P_2,B_x)) )
% 218.59/218.70 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_INT__eq,axiom,
% 218.59/218.70 ! [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))))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_UN__eq,axiom,
% 218.59/218.70 ! [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))))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trans__inv__image,axiom,
% 218.59/218.70 ! [V_f_2,T_c,V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Otrans(T_b,V_r_2)
% 218.59/218.70 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trans__reflclI,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Otrans(T_b,V_r_2)
% 218.59/218.70 => 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))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trans__O__subset,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Otrans(T_b,V_r_2)
% 218.59/218.70 => 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)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_bex__UNIV,axiom,
% 218.59/218.70 ! [V_P_2,T_b] :
% 218.59/218.70 ( ? [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 218.59/218.70 & hBOOL(hAPP(V_P_2,B_x)) )
% 218.59/218.70 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_finite__Collect__bex,axiom,
% 218.59/218.70 ! [V_Q_2,T_c,V_A_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 218.59/218.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Q_2)))))
% 218.59/218.70 <=> ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 218.59/218.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_x)))) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_listrel__trans,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Otrans(T_b,V_r_2)
% 218.59/218.70 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_bex__empty,axiom,
% 218.59/218.70 ! [V_P_2,T_b] :
% 218.59/218.70 ~ ? [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 218.59/218.70 & hBOOL(hAPP(V_P_2,B_x)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trans__converse,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 218.59/218.70 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_lexord__transI,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Otrans(T_b,V_r_2)
% 218.59/218.70 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trans__Id,axiom,
% 218.59/218.70 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trans__finite__psubset,axiom,
% 218.59/218.70 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trans__Id__on,axiom,
% 218.59/218.70 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trans__trancl,axiom,
% 218.59/218.70 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trancl__id,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Otrans(T_b,V_r_2)
% 218.59/218.70 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trans__rtrancl,axiom,
% 218.59/218.70 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trans__def,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Otrans(T_b,V_r_2)
% 218.59/218.70 <=> ! [B_x,B_y] :
% 218.59/218.70 ( 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))
% 218.59/218.70 => ! [B_z] :
% 218.59/218.70 ( 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))
% 218.59/218.70 => 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)) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_transD,axiom,
% 218.59/218.70 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Otrans(T_b,V_r_2)
% 218.59/218.70 => ( 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))
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 218.59/218.70 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),V_r_2)) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trans__Int,axiom,
% 218.59/218.70 ! [V_s_2,V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Otrans(T_b,V_r_2)
% 218.59/218.70 => ( c_Relation_Otrans(T_b,V_s_2)
% 218.59/218.70 => 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)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_SUPR__bool__eq,axiom,
% 218.59/218.70 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_Union__eq,axiom,
% 218.59/218.70 ! [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)))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_Sup__apply,axiom,
% 218.59/218.70 ! [V_x_2,V_A_2,T_c,T_b] :
% 218.59/218.70 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.59/218.70 => 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)))))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_Sup__fun__def,axiom,
% 218.59/218.70 ! [V_x_2,V_A_2,T_c,T_b] :
% 218.59/218.70 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.59/218.70 => 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)))))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_Inf__apply,axiom,
% 218.59/218.70 ! [V_x_2,V_A_2,T_c,T_b] :
% 218.59/218.70 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.59/218.70 => 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)))))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_Inf__fun__def,axiom,
% 218.59/218.70 ! [V_x_2,V_A_2,T_c,T_b] :
% 218.59/218.70 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 218.59/218.70 => 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)))))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_max__extp_Ointros,axiom,
% 218.59/218.70 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 218.59/218.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 218.59/218.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 218.59/218.70 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.59/218.70 => ( ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 218.59/218.70 => ? [B_xa] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 218.59/218.70 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 218.59/218.70 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_transp__def,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Predicate_Otransp(T_b,V_r_2)
% 218.59/218.70 <=> 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))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_transpE,axiom,
% 218.59/218.70 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 218.59/218.70 ( c_Predicate_Otransp(T_b,V_r_2)
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 218.59/218.70 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_equivp__reflp__symp__transp,axiom,
% 218.59/218.70 ! [V_R_2,T_b] :
% 218.59/218.70 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 218.59/218.70 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 218.59/218.70 & c_Predicate_Osymp(T_b,V_R_2)
% 218.59/218.70 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_equivpI,axiom,
% 218.59/218.70 ! [V_R_2,T_b] :
% 218.59/218.70 ( c_Predicate_Oreflp(T_b,V_R_2)
% 218.59/218.70 => ( c_Predicate_Osymp(T_b,V_R_2)
% 218.59/218.70 => ( c_Predicate_Otransp(T_b,V_R_2)
% 218.59/218.70 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sympE,axiom,
% 218.59/218.70 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 218.59/218.70 ( c_Predicate_Osymp(T_b,V_r_2)
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 218.59/218.70 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_equivpE,axiom,
% 218.59/218.70 ! [V_R_2,T_b] :
% 218.59/218.70 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 218.59/218.70 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 218.59/218.70 => ( c_Predicate_Osymp(T_b,V_R_2)
% 218.59/218.70 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_max__extp_Osimps,axiom,
% 218.59/218.70 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 218.59/218.70 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 218.59/218.70 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 218.59/218.70 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 218.59/218.70 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 218.59/218.70 & ! [B_x] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 218.59/218.70 => ? [B_xa] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 218.59/218.70 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_trans__diff__Id,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Otrans(T_b,V_r_2)
% 218.59/218.70 => ( c_Relation_Oantisym(T_b,V_r_2)
% 218.59/218.70 => 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))) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_antisym__subset,axiom,
% 218.59/218.70 ! [V_s_2,V_r_2,T_b] :
% 218.59/218.70 ( 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))
% 218.59/218.70 => ( c_Relation_Oantisym(T_b,V_s_2)
% 218.59/218.70 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_antisym__Id__on,axiom,
% 218.59/218.70 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_antisym__Id,axiom,
% 218.59/218.70 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_antisym__converse,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 218.59/218.70 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_antisym__empty,axiom,
% 218.59/218.70 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_antisym__def,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Oantisym(T_b,V_r_2)
% 218.59/218.70 <=> ! [B_x,B_y] :
% 218.59/218.70 ( 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))
% 218.59/218.70 => ( 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))
% 218.59/218.70 => B_x = B_y ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_antisymD,axiom,
% 218.59/218.70 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Oantisym(T_b,V_r_2)
% 218.59/218.70 => ( 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))
% 218.59/218.70 => ( 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))
% 218.59/218.70 => V_a_2 = V_b_2 ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_antisym__reflcl,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 218.59/218.70 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_fun__lub__def,axiom,
% 218.59/218.70 ! [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)))))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sym__trans__comp__subset,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Osym(T_b,V_r_2)
% 218.59/218.70 => ( c_Relation_Otrans(T_b,V_r_2)
% 218.59/218.70 => 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)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sym__inv__image,axiom,
% 218.59/218.70 ! [V_f_2,T_c,V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Osym(T_b,V_r_2)
% 218.59/218.70 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sym__Int__converse,axiom,
% 218.59/218.70 ! [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))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_listrel__sym,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Osym(T_b,V_r_2)
% 218.59/218.70 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sym__converse,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 218.59/218.70 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sym__conv__converse__eq,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Osym(T_b,V_r_2)
% 218.59/218.70 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sym__Id,axiom,
% 218.59/218.70 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sym__Un,axiom,
% 218.59/218.70 ! [V_s_2,V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Osym(T_b,V_r_2)
% 218.59/218.70 => ( c_Relation_Osym(T_b,V_s_2)
% 218.59/218.70 => 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)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sym__Id__on,axiom,
% 218.59/218.70 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sym__trancl,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Osym(T_b,V_r_2)
% 218.59/218.70 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sym__rtrancl,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Osym(T_b,V_r_2)
% 218.59/218.70 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sym__def,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Osym(T_b,V_r_2)
% 218.59/218.70 <=> ! [B_x,B_y] :
% 218.59/218.70 ( 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))
% 218.59/218.70 => 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)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_symD,axiom,
% 218.59/218.70 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Osym(T_b,V_r_2)
% 218.59/218.70 => ( 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))
% 218.59/218.70 => 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)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sym__Un__converse,axiom,
% 218.59/218.70 ! [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))) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_sym__Int,axiom,
% 218.59/218.70 ! [V_s_2,V_r_2,T_b] :
% 218.59/218.70 ( c_Relation_Osym(T_b,V_r_2)
% 218.59/218.70 => ( c_Relation_Osym(T_b,V_s_2)
% 218.59/218.70 => 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)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_equivE,axiom,
% 218.59/218.70 ! [V_r_2,V_A_2,T_b] :
% 218.59/218.70 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.59/218.70 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 218.59/218.70 => ( c_Relation_Osym(T_b,V_r_2)
% 218.59/218.70 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_equivI,axiom,
% 218.59/218.70 ! [V_r_2,V_A_2,T_b] :
% 218.59/218.70 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 218.59/218.70 => ( c_Relation_Osym(T_b,V_r_2)
% 218.59/218.70 => ( c_Relation_Otrans(T_b,V_r_2)
% 218.59/218.70 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_equiv__def,axiom,
% 218.59/218.70 ! [V_r_2,V_A_2,T_b] :
% 218.59/218.70 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 218.59/218.70 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 218.59/218.70 & c_Relation_Osym(T_b,V_r_2)
% 218.59/218.70 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_symp__def,axiom,
% 218.59/218.70 ! [V_r_2,T_b] :
% 218.59/218.70 ( c_Predicate_Osymp(T_b,V_r_2)
% 218.59/218.70 <=> 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))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_part__equivp__refl__symp__transp,axiom,
% 218.59/218.70 ! [V_R_2,T_b] :
% 218.59/218.70 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 218.59/218.70 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 218.59/218.70 & c_Predicate_Osymp(T_b,V_R_2)
% 218.59/218.70 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_part__equivpI,axiom,
% 218.59/218.70 ! [T_b,V_R_2] :
% 218.59/218.70 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 218.59/218.70 => ( c_Predicate_Osymp(T_b,V_R_2)
% 218.59/218.70 => ( c_Predicate_Otransp(T_b,V_R_2)
% 218.59/218.70 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_equivp__implies__part__equivp,axiom,
% 218.59/218.70 ! [V_R_2,T_b] :
% 218.59/218.70 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 218.59/218.70 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_part__equivp__def,axiom,
% 218.59/218.70 ! [V_R_2,T_b] :
% 218.59/218.70 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 218.59/218.70 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 218.59/218.70 & ! [B_x,B_y] :
% 218.59/218.70 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 218.59/218.70 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 218.59/218.70 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 218.59/218.70 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_part__equivp__symp,axiom,
% 218.59/218.70 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 218.59/218.70 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 218.59/218.70 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_part__equivp__transp,axiom,
% 218.59/218.70 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 218.59/218.70 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 218.59/218.70 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_part__equivpE,axiom,
% 218.59/218.70 ! [V_R_2,T_b] :
% 218.59/218.70 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 218.59/218.70 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 218.59/218.70 => ( c_Predicate_Osymp(T_b,V_R_2)
% 218.59/218.70 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_part__equivp__typedef,axiom,
% 218.59/218.70 ! [V_R_2,T_b] :
% 218.59/218.70 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 218.59/218.70 => ? [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))))) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_inj__iff,axiom,
% 218.59/218.70 ! [V_f_2,T_c,T_b] :
% 218.59/218.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.59/218.70 <=> 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) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_inv__o__cancel,axiom,
% 218.59/218.70 ! [V_f_2,T_c,T_b] :
% 218.59/218.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 218.59/218.70 => 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) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_inv__into__image__cancel,axiom,
% 218.59/218.70 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 218.59/218.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 218.59/218.70 => 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 ) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_inj__on__inv__into,axiom,
% 218.59/218.70 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 218.59/218.70 ( 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)))
% 218.59/218.70 => 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) ) ).
% 218.59/218.70
% 218.59/218.70 fof(fact_image__inv__into__cancel,axiom,
% 218.59/218.70 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 218.59/218.70 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 218.59/218.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 218.59/218.70 => 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 ) ) ).
% 218.59/218.70
% 218.59/218.70 %----Arity declarations (221)
% 218.59/218.70 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 218.59/218.70 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Lattices_Obounded__lattice(T_1)
% 218.59/218.70 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 218.59/218.70 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Lattices_Obounded__lattice(T_1)
% 218.59/218.70 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Lattices_Obounded__lattice(T_1)
% 218.59/218.70 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Lattices_Olattice(T_1)
% 218.59/218.70 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Lattices_Olattice(T_1)
% 218.59/218.70 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Lattices_Odistrib__lattice(T_1)
% 218.59/218.70 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Lattices_Oboolean__algebra(T_1)
% 218.59/218.70 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Orderings_Opreorder,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Orderings_Opreorder(T_1)
% 218.59/218.70 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 218.59/218.70 ! [T_1,T_2] :
% 218.59/218.70 ( ( class_Finite__Set_Ofinite(T_2)
% 218.59/218.70 & class_Finite__Set_Ofinite(T_1) )
% 218.59/218.70 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Lattices_Olattice,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Lattices_Olattice(T_1)
% 218.59/218.70 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Orderings_Oorder,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Orderings_Oorder(T_1)
% 218.59/218.70 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Orderings_Otop,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Orderings_Otop(T_1)
% 218.59/218.70 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Orderings_Oord,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Orderings_Oord(T_1)
% 218.59/218.70 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Orderings_Obot,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Orderings_Obot(T_1)
% 218.59/218.70 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Groups_Ouminus,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Groups_Ouminus(T_1)
% 218.59/218.70 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Groups_Ominus,axiom,
% 218.59/218.70 ! [T_2,T_1] :
% 218.59/218.70 ( class_Groups_Ominus(T_1)
% 218.59/218.70 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_fun__Enum_Oenum,axiom,
% 218.59/218.70 ! [T_1,T_2] :
% 218.59/218.70 ( ( class_Enum_Oenum(T_2)
% 218.59/218.70 & class_Enum_Oenum(T_1) )
% 218.59/218.70 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 218.59/218.70 class_Nat_Osize(tc_Com_Ocom) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 218.59/218.70 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 218.59/218.70 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 218.59/218.70 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 218.59/218.70 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 218.59/218.70 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 218.59/218.70 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 218.59/218.70 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 218.59/218.70 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 218.59/218.70 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 218.59/218.70 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 218.59/218.70 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 218.59/218.70 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 218.59/218.70 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 218.59/218.70 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 218.59/218.70 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 218.59/218.70 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 218.59/218.70 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 218.59/218.70 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 218.59/218.70 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 218.59/218.70 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 218.59/218.70 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 218.59/218.70 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 218.59/218.70 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 218.59/218.70 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 218.59/218.70 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 218.59/218.70 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 218.59/218.70 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 218.59/218.70 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 218.59/218.70 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 218.59/218.70 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 218.59/218.70 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 218.59/218.70 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 218.59/218.70 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 218.59/218.70 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 218.59/218.70 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 218.59/218.70 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 218.59/218.70 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 218.59/218.70 class_Orderings_Opreorder(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 218.59/218.70 class_Orderings_Olinorder(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 218.59/218.70 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 218.59/218.70 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 218.59/218.70 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 218.59/218.70 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 218.59/218.70 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 218.59/218.70 class_Lattices_Olattice(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 218.59/218.70 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 218.59/218.70 class_Divides_Oring__div(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 218.59/218.70 class_Rings_Omult__zero(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 218.59/218.70 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 218.59/218.70 class_Orderings_Oorder(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 218.59/218.70 class_Int_Oring__char__0(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 218.59/218.70 class_Int_Onumber__ring(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 218.59/218.70 class_Rings_Osemiring(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 218.59/218.70 class_Orderings_Oord(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 218.59/218.70 class_Groups_Ouminus(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 218.59/218.70 class_Groups_Osgn__if(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 218.59/218.70 class_Groups_Oabs__if(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 218.59/218.70 class_Rings_Oring__1(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 218.59/218.70 class_Groups_Ominus(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Power_Opower,axiom,
% 218.59/218.70 class_Power_Opower(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 218.59/218.70 class_Groups_Ozero(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Oring,axiom,
% 218.59/218.70 class_Rings_Oring(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 218.59/218.70 class_Rings_Oidom(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Int_Onumber,axiom,
% 218.59/218.70 class_Int_Onumber(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Groups_Oone,axiom,
% 218.59/218.70 class_Groups_Oone(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 218.59/218.70 class_Rings_Odvd(tc_Int_Oint) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 218.59/218.70 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 218.59/218.70 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 218.59/218.70 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 218.59/218.70 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 218.59/218.70 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 218.59/218.70 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 218.59/218.70 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 218.59/218.70 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 218.59/218.70 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 218.59/218.70 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 218.59/218.70 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 218.59/218.70 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 218.59/218.70 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 218.59/218.70 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 218.59/218.70 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 218.59/218.70 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 218.59/218.70 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 218.59/218.70 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 218.59/218.70 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 218.59/218.70 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 218.59/218.70 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 218.59/218.70 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 218.59/218.70 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 218.59/218.70 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 218.59/218.70 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 218.59/218.70 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 218.59/218.70 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 218.59/218.70 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 218.59/218.70 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 218.59/218.70 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 218.59/218.70 class_Lattices_Olattice(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 218.59/218.70 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 218.59/218.70 class_Orderings_Oorder(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 218.59/218.70 class_Rings_Osemiring(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 218.59/218.70 class_Orderings_Oord(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 218.59/218.70 class_Orderings_Obot(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 218.59/218.70 class_Groups_Ominus(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Power_Opower,axiom,
% 218.59/218.70 class_Power_Opower(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 218.59/218.70 class_Groups_Ozero(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 218.59/218.70 class_Int_Onumber(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 218.59/218.70 class_Groups_Oone(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 218.59/218.70 class_Rings_Odvd(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 218.59/218.70 class_Nat_Osize(tc_Nat_Onat) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 218.59/218.70 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 218.59/218.70 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 218.59/218.70 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 218.59/218.70 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 218.59/218.70 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 218.59/218.70 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 218.59/218.70 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 218.59/218.70 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 218.59/218.70 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 218.59/218.70 class_Lattices_Olattice(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 218.59/218.70 class_Orderings_Oorder(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 218.59/218.70 class_Orderings_Otop(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 218.59/218.70 class_Orderings_Oord(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 218.59/218.70 class_Orderings_Obot(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 218.59/218.70 class_Groups_Ouminus(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 218.59/218.70 class_Groups_Ominus(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 218.59/218.70 class_Enum_Oenum(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 218.59/218.70 class_Nat_Osize(tc_HOL_Obool) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 218.59/218.70 class_Nat_Osize(tc_Com_Ostate) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 218.59/218.70 ! [T_1] :
% 218.59/218.70 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 218.59/218.70 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_List__Olist__Nat_Osize,axiom,
% 218.59/218.70 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 218.59/218.70 ! [T_1,T_2] :
% 218.59/218.70 ( ( class_Finite__Set_Ofinite(T_2)
% 218.59/218.70 & class_Finite__Set_Ofinite(T_1) )
% 218.59/218.70 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_sum__Enum_Oenum,axiom,
% 218.59/218.70 ! [T_1,T_2] :
% 218.59/218.70 ( ( class_Enum_Oenum(T_2)
% 218.59/218.70 & class_Enum_Oenum(T_1) )
% 218.59/218.70 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_sum__Nat_Osize,axiom,
% 218.59/218.70 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 218.59/218.70 ! [T_1] :
% 218.59/218.70 ( class_Finite__Set_Ofinite(T_1)
% 218.59/218.70 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 218.59/218.70 ! [T_1] :
% 218.59/218.70 ( class_Enum_Oenum(T_1)
% 218.59/218.70 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 218.59/218.70 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 218.59/218.70 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 218.59/218.70 ! [T_1,T_2] :
% 218.59/218.70 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 218.59/218.70 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 218.59/218.70 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 218.59/218.70 ! [T_1,T_2] :
% 218.59/218.70 ( ( class_Finite__Set_Ofinite(T_2)
% 218.59/218.70 & class_Finite__Set_Ofinite(T_1) )
% 218.59/218.70 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_prod__Enum_Oenum,axiom,
% 218.59/218.70 ! [T_1,T_2] :
% 218.59/218.70 ( ( class_Enum_Oenum(T_2)
% 218.59/218.70 & class_Enum_Oenum(T_1) )
% 218.59/218.70 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_prod__Nat_Osize,axiom,
% 218.59/218.70 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 218.59/218.70 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 218.59/218.70 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 218.59/218.70 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 218.59/218.70 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 218.59/218.70 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 218.59/218.70 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 218.59/218.70 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 218.59/218.70 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 218.59/218.70 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 218.59/218.70 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 218.59/218.70 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 218.59/218.70 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 218.59/218.70 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 218.59/218.70 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 218.59/218.70 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 218.59/218.70 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 218.59/218.70 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 218.59/218.70 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 218.59/218.70 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 218.59/218.70 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 218.59/218.70 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 218.59/218.70 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 218.59/218.70 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 218.59/218.70 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 218.59/218.70 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 218.59/218.70 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 218.59/218.70 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 218.59/218.70 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 218.59/218.70 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 218.59/218.70 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 218.59/218.70 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 218.59/218.70 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 218.59/218.70 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 218.59/218.70 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 218.59/218.70 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 218.59/218.70 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 218.59/218.70 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 218.59/218.70 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 218.59/218.70 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 218.59/218.70 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 218.59/218.70 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 218.59/218.70 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 218.59/218.70
% 218.59/218.70 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 218.59/218.70 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 218.59/218.70
% 218.59/218.70 %----Helper facts (20)
% 218.59/218.70 fof(help_c__COMBI__1,axiom,
% 218.59/218.70 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__COMBK__1,axiom,
% 218.59/218.70 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__COMBB__1,axiom,
% 218.59/218.70 ! [V_R_2,V_Q_2,V_P_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__COMBC__1,axiom,
% 218.59/218.70 ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),V_Q_2) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__COMBS__1,axiom,
% 218.59/218.70 ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fequal__1,axiom,
% 218.59/218.70 ! [V_y_2,V_x_2] :
% 218.59/218.70 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 218.59/218.70 | V_x_2 = V_y_2 ) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fequal__2,axiom,
% 218.59/218.70 ! [V_y_2,V_x_2] :
% 218.59/218.70 ( V_x_2 != V_y_2
% 218.59/218.70 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fFalse__1,axiom,
% 218.59/218.70 ~ hBOOL(c_fFalse) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fTrue__1,axiom,
% 218.59/218.70 hBOOL(c_fTrue) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fNot__1,axiom,
% 218.59/218.70 ! [V_P_2] :
% 218.59/218.70 ( ~ hBOOL(hAPP(c_fNot,V_P_2))
% 218.59/218.70 | ~ hBOOL(V_P_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fNot__2,axiom,
% 218.59/218.70 ! [V_P_2] :
% 218.59/218.70 ( ~ ~ hBOOL(V_P_2)
% 218.59/218.70 | hBOOL(hAPP(c_fNot,V_P_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fconj__1,axiom,
% 218.59/218.70 ! [V_Q_2,V_P_2] :
% 218.59/218.70 ( ~ hBOOL(V_P_2)
% 218.59/218.70 | ~ hBOOL(V_Q_2)
% 218.59/218.70 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fconj__2,axiom,
% 218.59/218.70 ! [V_Q_2,V_P_2] :
% 218.59/218.70 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 218.59/218.70 | hBOOL(V_P_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fconj__3,axiom,
% 218.59/218.70 ! [V_Q_2,V_P_2] :
% 218.59/218.70 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 218.59/218.70 | hBOOL(V_Q_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fdisj__1,axiom,
% 218.59/218.70 ! [V_Q_2,V_P_2] :
% 218.59/218.70 ( ~ hBOOL(V_P_2)
% 218.59/218.70 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fdisj__2,axiom,
% 218.59/218.70 ! [V_P_2,V_Q_2] :
% 218.59/218.70 ( ~ hBOOL(V_Q_2)
% 218.59/218.70 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fdisj__3,axiom,
% 218.59/218.70 ! [V_Q_2,V_P_2] :
% 218.59/218.70 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2))
% 218.59/218.70 | hBOOL(V_P_2)
% 218.59/218.70 | hBOOL(V_Q_2) ) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fimplies__1,axiom,
% 218.59/218.70 ! [V_Q_2,V_P_2] :
% 218.59/218.70 ( hBOOL(V_P_2)
% 218.59/218.70 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fimplies__2,axiom,
% 218.59/218.70 ! [V_P_2,V_Q_2] :
% 218.59/218.70 ( ~ hBOOL(V_Q_2)
% 218.59/218.70 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 218.59/218.70
% 218.59/218.70 fof(help_c__fimplies__3,axiom,
% 218.59/218.70 ! [V_Q_2,V_P_2] :
% 218.59/218.70 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2))
% 218.59/218.70 | ~ hBOOL(V_P_2)
% 218.59/218.70 | hBOOL(V_Q_2) ) ).
% 218.59/218.70
% 218.59/218.70 %----Conjectures (1)
% 218.59/218.70 fof(conj_0,conjecture,
% 218.59/218.70 ( ! [B_Z,B_s] :
% 218.59/218.70 ( v_fun1(B_Z,B_s)
% 218.59/218.70 => ! [B_s_H] :
% 218.59/218.70 ( c_Natural_Oevaln(v_com,B_s,hAPP(c_Nat_OSuc,v_n),B_s_H)
% 218.59/218.70 => v_fun2(B_Z,B_s_H) ) )
% 218.59/218.70 => ! [B_Z,B_s] :
% 218.59/218.70 ( v_fun1(B_Z,B_s)
% 218.59/218.70 => ! [B_s_H] :
% 218.59/218.70 ( c_Natural_Oevaln(v_com,B_s,v_n,B_s_H)
% 218.59/218.70 => v_fun2(B_Z,B_s_H) ) ) ) ).
% 218.59/218.70
% 218.59/218.70 %------------------------------------------------------------------------------
% 218.59/218.70 %-------------------------------------------
% 218.59/218.70 % Proof found
% 218.59/218.70 % SZS status Theorem for theBenchmark
% 218.59/218.70 % SZS output start Proof
% 218.59/218.70 %ClaNum:10304(EqnAxiom:2928)
% 218.59/218.70 %VarNum:69645(SingletonVarNum:20321)
% 218.59/218.70 %MaxLitNum:8
% 218.59/218.70 %MaxfuncDepth:13
% 218.59/218.70 %SharedTerms:962
% 218.59/218.70 %goalClause: 3139 3526 4462 6400
% 218.59/218.70 %singleGoalClaCount:3
% 218.59/218.70 [2932]P1(a885)
% 218.59/218.70 [2933]P1(a1)
% 218.59/218.70 [2934]P1(a94)
% 218.59/218.70 [2935]P144(a179)
% 218.59/218.70 [2936]P2(a885)
% 218.59/218.70 [2937]P2(a1)
% 218.59/218.70 [2938]P2(a94)
% 218.59/218.70 [2939]P90(a885)
% 218.59/218.70 [2940]P90(a1)
% 218.59/218.70 [2941]P90(a94)
% 218.59/218.70 [2942]P91(a885)
% 218.59/218.70 [2943]P91(a1)
% 218.59/218.70 [2944]P91(a94)
% 218.59/218.70 [2945]P91(a882)
% 218.59/218.70 [2946]P110(a885)
% 218.59/218.70 [2947]P110(a1)
% 218.59/218.70 [2948]P110(a94)
% 218.59/218.70 [2949]P110(a882)
% 218.59/218.70 [2950]P92(a885)
% 218.59/218.70 [2951]P92(a1)
% 218.59/218.70 [2952]P92(a94)
% 218.59/218.70 [2953]P3(a885)
% 218.59/218.70 [2954]P3(a1)
% 218.59/218.70 [2955]P3(a94)
% 218.59/218.70 [2956]P68(a885)
% 218.59/218.70 [2957]P68(a1)
% 218.59/218.70 [2958]P68(a94)
% 218.59/218.70 [2959]P69(a885)
% 218.59/218.70 [2960]P69(a1)
% 218.59/218.70 [2961]P69(a94)
% 218.59/218.70 [2962]P93(a885)
% 218.59/218.70 [2963]P93(a1)
% 218.59/218.70 [2964]P93(a94)
% 218.59/218.70 [2965]P72(a885)
% 218.59/218.70 [2966]P72(a1)
% 218.59/218.70 [2967]P72(a94)
% 218.59/218.70 [2968]P73(a885)
% 218.59/218.70 [2969]P73(a1)
% 218.59/218.70 [2970]P73(a94)
% 218.59/218.70 [2971]P74(a1)
% 218.59/218.70 [2972]P79(a885)
% 218.59/218.70 [2973]P79(a1)
% 218.59/218.70 [2974]P79(a94)
% 218.59/218.70 [2975]P85(a885)
% 218.59/218.70 [2976]P85(a1)
% 218.59/218.70 [2977]P85(a94)
% 218.59/218.70 [2978]P86(a885)
% 218.59/218.70 [2979]P86(a1)
% 218.59/218.70 [2980]P86(a94)
% 218.59/218.70 [2981]P109(a885)
% 218.59/218.70 [2982]P109(a1)
% 218.59/218.70 [2983]P109(a94)
% 218.59/218.70 [2984]P109(a882)
% 218.59/218.70 [2985]P111(a1)
% 218.59/218.70 [2986]P145(a885)
% 218.59/218.70 [2987]P145(a1)
% 218.59/218.70 [2988]P112(a885)
% 218.59/218.70 [2989]P112(a1)
% 218.59/218.70 [2990]P112(a94)
% 218.59/218.70 [2991]P127(a1)
% 218.59/218.70 [2992]P128(a1)
% 218.59/218.70 [2993]P94(a1)
% 218.59/218.70 [2994]P119(a1)
% 218.59/218.70 [2995]P75(a1)
% 218.59/218.70 [2996]P70(a885)
% 218.59/218.70 [2997]P70(a1)
% 218.59/218.70 [2998]P70(a94)
% 218.59/218.70 [2999]P80(a1)
% 218.59/218.70 [3000]P4(a1)
% 218.59/218.70 [3001]P129(a885)
% 218.59/218.70 [3002]P129(a1)
% 218.59/218.70 [3003]P129(a94)
% 218.59/218.70 [3004]P140(a1)
% 218.59/218.70 [3005]P130(a885)
% 218.59/218.70 [3006]P130(a1)
% 218.59/218.70 [3007]P130(a94)
% 218.59/218.70 [3008]P142(a885)
% 218.59/218.70 [3009]P142(a1)
% 218.59/218.70 [3010]P142(a94)
% 218.59/218.70 [3011]P113(a885)
% 218.59/218.70 [3012]P113(a1)
% 218.59/218.70 [3013]P113(a94)
% 218.59/218.70 [3014]P125(a1)
% 218.59/218.70 [3015]P126(a1)
% 218.59/218.70 [3016]P131(a885)
% 218.59/218.70 [3017]P131(a1)
% 218.59/218.70 [3018]P131(a94)
% 218.59/218.70 [3019]P123(a885)
% 218.59/218.70 [3020]P123(a1)
% 218.59/218.70 [3021]P123(a94)
% 218.59/218.70 [3022]P81(a885)
% 218.59/218.70 [3023]P81(a1)
% 218.59/218.70 [3024]P81(a94)
% 218.59/218.70 [3025]P146(a885)
% 218.59/218.70 [3026]P146(a1)
% 218.59/218.70 [3027]P146(a94)
% 218.59/218.70 [3028]P76(a885)
% 218.59/218.70 [3029]P76(a1)
% 218.59/218.70 [3030]P76(a94)
% 218.59/218.70 [3031]P82(a885)
% 218.59/218.70 [3032]P82(a1)
% 218.59/218.70 [3033]P82(a94)
% 218.59/218.70 [3034]P83(a885)
% 218.59/218.70 [3035]P83(a1)
% 218.59/218.70 [3036]P83(a94)
% 218.59/218.70 [3037]P132(a1)
% 218.59/218.70 [3038]P134(a1)
% 218.59/218.70 [3039]P135(a885)
% 218.59/218.70 [3040]P135(a1)
% 218.59/218.70 [3041]P135(a94)
% 218.59/218.70 [3042]P136(a1)
% 218.59/218.70 [3043]P138(a885)
% 218.59/218.70 [3044]P138(a1)
% 218.59/218.70 [3045]P138(a94)
% 218.59/218.70 [3046]P137(a885)
% 218.59/218.70 [3047]P137(a1)
% 218.59/218.70 [3048]P137(a94)
% 218.59/218.70 [3049]P141(a1)
% 218.59/218.70 [3050]P114(a1)
% 218.59/218.70 [3051]P133(a885)
% 218.59/218.70 [3052]P133(a1)
% 218.59/218.70 [3053]P133(a94)
% 218.59/218.70 [3054]P97(a882)
% 218.59/218.70 [3055]P87(a1)
% 218.59/218.70 [3056]P5(a885)
% 218.59/218.70 [3057]P5(a1)
% 218.59/218.70 [3058]P5(a94)
% 218.59/218.70 [3059]P6(a1)
% 218.59/218.70 [3060]P89(a1)
% 218.59/218.70 [3061]P89(a882)
% 218.59/218.70 [3062]P77(a885)
% 218.59/218.70 [3063]P77(a1)
% 218.59/218.70 [3064]P77(a94)
% 218.59/218.70 [3065]P77(a882)
% 218.59/218.70 [3066]P115(a885)
% 218.59/218.70 [3067]P115(a1)
% 218.59/218.70 [3068]P115(a94)
% 218.59/218.70 [3069]P143(a885)
% 218.59/218.70 [3070]P143(a1)
% 218.59/218.70 [3071]P143(a94)
% 218.59/218.70 [3072]P95(a885)
% 218.59/218.70 [3073]P95(a1)
% 218.59/218.70 [3074]P95(a94)
% 218.59/218.70 [3075]P96(a1)
% 218.59/218.70 [3076]P84(a1)
% 218.59/218.70 [3077]P139(a1)
% 218.59/218.70 [3078]P71(a1)
% 218.59/218.70 [3079]P120(a885)
% 218.59/218.70 [3080]P120(a1)
% 218.59/218.70 [3081]P120(a94)
% 218.59/218.70 [3082]P118(a1)
% 218.59/218.70 [3083]P99(a885)
% 218.59/218.70 [3084]P99(a1)
% 218.59/218.70 [3085]P99(a882)
% 218.59/218.70 [3086]P100(a885)
% 218.59/218.70 [3087]P100(a1)
% 218.59/218.70 [3088]P100(a882)
% 218.59/218.70 [3089]P7(a882)
% 218.59/218.70 [3090]P116(a882)
% 218.59/218.70 [3091]P101(a882)
% 218.59/218.70 [3092]P62(a882)
% 218.59/218.70 [3093]P62(a888)
% 218.59/218.70 [3094]P107(a885)
% 218.59/218.70 [3095]P107(a882)
% 218.59/218.70 [3096]P102(a882)
% 218.59/218.70 [3097]P104(a885)
% 218.59/218.70 [3098]P104(a1)
% 218.59/218.70 [3099]P104(a882)
% 218.59/218.70 [3100]P105(a885)
% 218.59/218.70 [3101]P105(a1)
% 218.59/218.70 [3102]P105(a882)
% 218.59/218.70 [3103]P78(a885)
% 218.59/218.70 [3104]P78(a1)
% 218.59/218.70 [3105]P78(a94)
% 218.59/218.70 [3106]P117(a885)
% 218.59/218.70 [3107]P108(a885)
% 218.59/218.70 [3108]P108(a883)
% 218.59/218.70 [3109]P108(a94)
% 218.59/218.70 [3110]P108(a882)
% 218.59/218.70 [3111]P108(a888)
% 218.59/218.70 [3112]P108(a312)
% 218.59/218.70 [3113]P108(a884)
% 218.59/218.70 [3114]P88(a885)
% 218.59/218.70 [3115]P88(a1)
% 218.59/218.70 [3116]P88(a94)
% 218.59/218.70 [3117]P63(a882)
% 218.59/218.70 [3118]P63(a888)
% 218.59/218.70 [3119]P106(a1)
% 218.59/218.70 [3120]P106(a888)
% 218.59/218.70 [3121]P103(a882)
% 218.59/218.70 [3136]P36(a885,a231)
% 218.59/218.70 [3137]P36(a885,a306)
% 218.59/218.70 [3138]P37(a885,a231)
% 218.59/218.70 [3139]P149(a313,a821)
% 218.59/218.70 [3526]P40(a894,a821,a895,a823)
% 218.59/218.70 [4459]~E(a92,a82)
% 218.59/218.70 [4460]~P144(a180)
% 218.59/218.70 [4462]~P150(a313,a823)
% 218.59/218.70 [2929]E(f2(a1),a82)
% 218.59/218.70 [2930]E(f3(a94),a4)
% 218.59/218.70 [2931]E(f95(a94),a5)
% 218.59/218.70 [3122]E(f28(a25),f2(a885))
% 218.59/218.70 [3123]E(f83(a180),f2(a885))
% 218.59/218.70 [3124]E(f83(a179),f2(a885))
% 218.59/218.70 [3125]E(f181(a885),f96(a885))
% 218.59/218.70 [3126]E(f182(a885),f2(a885))
% 218.59/218.70 [3127]E(f230(a885),f97(a885))
% 218.59/218.70 [3128]E(f98(a1),f31(a1))
% 218.59/218.70 [3129]P8(f2(a1))
% 218.59/218.70 [3130]P8(f77(a1))
% 218.59/218.70 [3185]P36(f891(a885,a885),a32)
% 218.59/218.70 [3525]E(f308(a885,a885,a231,a231),a32)
% 218.59/218.70 [4461]~E(f77(a1),f2(a1))
% 218.59/218.70 [3131]E(f106(f2(a885)),f2(a885))
% 218.59/218.70 [3132]E(f6(f2(a94)),f2(a885))
% 218.59/218.70 [3141]E(f822(f78(a1),a82),a82)
% 218.59/218.70 [3145]E(f822(a5,f2(a885)),f2(a94))
% 218.59/218.70 [3146]E(f822(a107,f2(a885)),f77(a885))
% 218.59/218.70 [3147]E(f822(a100,f77(a1)),f77(a885))
% 218.59/218.70 [3148]E(f822(a5,f77(a885)),f77(a94))
% 218.59/218.70 [3150]E(f822(f99(a1),a82),f2(a1))
% 218.59/218.70 [3151]E(f822(f99(a94),a82),f2(a94))
% 218.59/218.70 [3152]E(f822(a100,f2(a1)),f2(a885))
% 218.59/218.70 [3153]E(f822(f183(a883),a25),f2(a885))
% 218.59/218.70 [3154]E(f822(f183(a882),a180),f2(a885))
% 218.59/218.70 [3155]E(f822(f183(a882),a179),f2(a885))
% 218.59/218.70 [3156]E(f822(f99(a885),a82),f2(a885))
% 218.59/218.70 [3161]E(f822(f78(a1),f77(a1)),a92)
% 218.59/218.70 [3169]E(f822(f183(a94),f2(a94)),f2(a885))
% 218.59/218.70 [3170]E(f822(f95(a1),f2(a885)),f2(a1))
% 218.59/218.70 [3171]E(f822(f95(a1),f77(a885)),f77(a1))
% 218.59/218.70 [3172]E(f822(f78(a1),f2(a1)),f2(a1))
% 218.59/218.70 [3182]E(f822(a100,f77(a1)),f822(a107,f2(a885)))
% 218.59/218.70 [3183]E(f307(f891(a885,a885),a32),a33)
% 218.59/218.70 [3184]E(f309(f891(a885,a885),a32),a68)
% 218.59/218.70 [3210]E(f822(f271(a885),f2(a885)),f182(f892(a885,a882)))
% 218.59/218.70 [3211]E(f822(f272(a885),f2(a885)),f233(f892(a885,a882)))
% 218.59/218.70 [3219]P39(f182(f892(a1,a882)))
% 218.59/218.70 [3253]E(f822(f822(f3(a94),f2(a94)),f77(a94)),f2(a94))
% 218.59/218.70 [3328]P144(f822(f822(f227(a1),a92),f2(a1)))
% 218.59/218.70 [3352]P144(f822(f822(f227(a1),f2(a1)),f77(a1)))
% 218.59/218.70 [3354]P144(f822(f822(f226(a1),f2(a1)),f77(a1)))
% 218.59/218.70 [3559]E(f822(f822(f278(a885,a885,a885),a306),f296(a885,a306)),a231)
% 218.59/218.70 [3596]P41(a1,a885,a100,f822(f226(a1),f2(a1)))
% 218.59/218.70 [3600]E(f822(f822(f38(a885,f892(a885,a882)),f233(f892(a885,a882))),f271(a885)),f233(f892(a885,a882)))
% 218.59/218.70 [3601]E(f822(f822(f38(a885,f892(a885,a882)),f233(f892(a885,a882))),f290(a885)),f233(f892(a885,a882)))
% 218.59/218.70 [3602]E(f822(f822(f38(a885,f892(a885,a882)),f233(f892(a885,a882))),f272(a885)),f233(f892(a885,a882)))
% 218.59/218.70 [3603]E(f822(f822(f39(a885,f892(a885,a882)),f233(f892(a885,a882))),f293(a885)),f182(f892(a885,a882)))
% 218.59/218.70 [3618]P26(a885,a1,f95(a1),f233(f892(a885,a882)))
% 218.59/218.70 [3631]P41(a885,a1,f95(a1),f822(f18(a882,a885),a179))
% 218.59/218.70 [3768]E(f822(f72(a885,a94,a1,a5),a100),f99(a94))
% 218.59/218.70 [3985]P58(a94,a885,a22,a5,f233(f892(a885,a882)))
% 218.59/218.70 [3989]P58(a1,f892(f891(a885,a885),a882),a102,a88,a93)
% 218.59/218.70 [4240]E(f249(a1,a1,a1,a1,f31(a1),f78(a1)),a50)
% 218.59/218.70 [4477]~E(f822(f99(a1),a92),f822(f99(a1),a82))
% 218.59/218.70 [4478]~P144(f822(a187,f2(a1)))
% 218.59/218.70 [4479]~P144(f822(a187,f77(a1)))
% 218.59/218.70 [4516]~P144(f822(f822(f227(a1),a82),f2(a1)))
% 218.59/218.70 [3204]E(f822(f822(f3(a1),a92),a92),a82)
% 218.59/218.70 [3217]E(f822(f95(a1),f822(a107,f2(a885))),f77(a1))
% 218.59/218.70 [3282]E(f822(f34(a888),f233(f892(a888,a882))),f77(a885))
% 218.59/218.70 [3302]P144(f822(a187,f822(f99(a1),a92)))
% 218.59/218.70 [3303]P144(f822(f822(f227(a1),a92),a82))
% 218.59/218.70 [3305]P144(f822(f822(f226(a1),a92),a82))
% 218.59/218.70 [3363]E(f822(f822(f298(a885),f2(a885)),f182(f892(a885,a882))),f822(f290(a885),f2(a885)))
% 218.59/218.70 [3416]P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),a82)))
% 218.59/218.70 [3428]E(f822(f299(a885,a885,a107),f233(f892(a885,a882))),f822(f293(a885),f2(a885)))
% 218.59/218.70 [3465]P10(f891(a885,a885),f233(f892(f891(a885,a885),a882)),a104)
% 218.59/218.70 [3775]E(f822(f72(a885,a1,a94,f95(a1)),a22),a24)
% 218.59/218.70 [3834]P36(a885,f822(f253(f891(a885,a885)),f822(f248(a885,a885,a882),f227(a885))))
% 218.59/218.70 [4507]~P144(f822(a187,f822(f99(a1),a82)))
% 218.59/218.70 [4508]~P144(f822(f822(f227(a1),a92),a92))
% 218.59/218.70 [4509]~P144(f822(f822(f227(a1),a82),a92))
% 218.59/218.70 [4510]~P144(f822(f822(f227(a1),a82),a82))
% 218.59/218.70 [4511]~P144(f822(f822(f226(a1),a82),a92))
% 218.59/218.70 [4522]~P144(f822(f60(a885),f233(f892(a885,a882))))
% 218.59/218.70 [4523]~P144(f822(f60(a1),f233(f892(a1,a882))))
% 218.59/218.70 [4405]E(f822(f248(a1,a1,a882),f822(f822(f10(f892(a1,a882),f892(a1,a882),a1),f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f227(a1),f2(a1))))),f822(f822(f9(a1,a1,f892(a1,a882)),f822(f822(f10(f892(a1,f892(a1,a882)),f892(a1,f892(a1,a882)),a1),f9(a1,a1,a882)),f822(f822(f10(f892(a1,a1),f892(a1,f892(a1,a882)),a1),f822(f10(a1,f892(a1,a882),a1),a314)),a211))),f77(a1)))),a207)
% 218.59/218.70 [3500]E(f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92),f822(f78(a1),a92))
% 218.59/218.70 [3541]E(f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92),f822(f822(f3(a1),a82),a92))
% 218.59/218.70 [3701]E(f822(f822(f59(f891(a885,a885)),f233(f892(f891(a885,a885),a882))),a104),a93)
% 218.59/218.70 [3730]E(f822(f99(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f77(a1))
% 218.59/218.70 [3731]E(f822(f99(a94),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f77(a94))
% 218.59/218.70 [3732]E(f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f77(a885))
% 218.59/218.70 [3736]E(f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(a107,f2(a885)))
% 218.59/218.70 [4110]E(f822(f822(f96(f892(f891(f891(a885,a885),f891(a885,a885)),a882)),a32),f296(f891(a885,a885),f182(f892(f891(f891(a885,a885),f891(a885,a885)),a882)))),a70)
% 218.59/218.70 [4176]E(f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),f2(a885)),f2(a885))),f182(f892(f891(a885,a885),a882))))),f2(a1))
% 218.59/218.70 [4177]E(f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),f77(a885)),f2(a885))),f182(f892(f891(a885,a885),a882))))),f77(a1))
% 218.59/218.70 [4190]E(f822(f253(f891(a885,a885)),f822(f248(a885,a885,a882),f822(f822(f10(a885,f892(a885,a882),a885),f822(f9(a885,a885,a882),a314)),a107))),a306)
% 218.59/218.71 [4162]E(f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),f822(a107,f822(a107,f2(a885))))
% 218.59/218.71 [4165]E(f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),f822(f822(f79(a885),f77(a885)),f77(a885)))
% 218.59/218.71 [4166]E(f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),f822(f34(a882),f233(f892(a882,a882))))
% 218.59/218.71 [4227]P8(f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))
% 218.59/218.71 [4296]P27(f892(f891(a885,a885),a882),f822(f822(f243(f892(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),a882),f892(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),a882)),a33),a69))
% 218.59/218.71 [4297]P27(f892(f891(a885,a885),a882),f822(f822(f243(f892(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),a882),f892(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),a882)),a68),a71))
% 218.59/218.71 [4337]E(f822(f822(f96(f892(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),a882)),f309(f891(a885,a885),a70)),f822(f822(f298(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f243(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),f182(f892(f891(a885,a885),a882))),f182(f892(f891(a885,a885),a882)))),f182(f892(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),a882)))),a71)
% 218.59/218.71 [4338]E(f822(f822(f96(f892(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),a882)),f307(f891(a885,a885),a70)),f822(f822(f298(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f243(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),f182(f892(f891(a885,a885),a882))),f182(f892(f891(a885,a885),a882)))),f182(f892(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),a882)))),a69)
% 218.59/218.71 [4229]E(f822(a100,f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(a107,f822(a107,f2(a885))))
% 218.59/218.71 [4274]E(f822(f95(a1),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))
% 218.59/218.71 [4307]P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))
% 218.59/218.71 [4308]E(f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),a92)),f822(a107,f822(a107,f822(a107,f2(a885)))))
% 218.59/218.71 [4351]P8(f822(f99(a1),f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),a92)))
% 218.59/218.71 [4377]E(f822(f95(a1),f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),a92))),f822(f99(a1),f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),a92)))
% 218.59/218.71 [4390]P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),a92))))
% 218.59/218.71 [3140]P9(x31401,a314)
% 218.59/218.71 [3527]P26(a885,a885,a107,x35271)
% 218.59/218.71 [3133]P108(f886(x31331))
% 218.59/218.71 [3134]P108(f889(x31341))
% 218.59/218.71 [3135]P108(f887(x31351))
% 218.59/218.71 [3157]P36(a1,f101(x31571))
% 218.59/218.71 [3158]P36(a1,f103(x31581))
% 218.59/218.71 [3206]P36(f892(x32061,a882),f303(x32061))
% 218.59/218.71 [3207]P37(f892(x32071,a882),f303(x32071))
% 218.59/218.71 [3231]E(f234(x32311,x32311,a314),a314)
% 218.59/218.71 [3246]E(f44(a1,x32461,x32461),f2(a1))
% 218.59/218.71 [3299]P16(x32991,f892(x32991,a882),f298(x32991))
% 218.59/218.71 [4464]~E(f822(a107,x44641),x44641)
% 218.59/218.71 [4474]~E(f822(a107,x44741),f2(a885))
% 218.59/218.71 [3142]E(f822(f183(a885),x31421),x31421)
% 218.59/218.71 [3143]E(f822(f99(a1),x31431),x31431)
% 218.59/218.71 [3159]E(f822(a88,f317(x31591)),x31591)
% 218.59/218.71 [3160]E(f232(x31601,f2(a94)),f2(a94))
% 218.59/218.71 [3173]E(f109(x31731,f108(x31731)),f108(x31731))
% 218.59/218.71 [3174]E(f144(x31741,f108(x31741)),f108(x31741))
% 218.59/218.71 [3179]E(f822(f159(x31791),f108(x31791)),f108(x31791))
% 218.59/218.71 [3180]E(f822(f163(x31801),f108(x31801)),f108(x31801))
% 218.59/218.71 [3181]E(f822(f160(x31811),f108(x31811)),f108(x31811))
% 218.59/218.71 [3186]E(f822(f99(a1),x31861),f822(f98(a1),x31861))
% 218.59/218.71 [3188]E(f822(a5,f822(a22,x31881)),x31881)
% 218.59/218.71 [3189]E(f822(a22,f822(a5,x31891)),x31891)
% 218.59/218.71 [3190]E(f822(a88,f822(a102,x31901)),x31901)
% 218.59/218.71 [3191]P8(f822(f95(a1),x31911))
% 218.59/218.71 [3200]E(f822(f183(f886(x32001)),f114(x32001)),f2(a885))
% 218.59/218.71 [3201]E(f822(f183(f887(x32011)),f108(x32011)),f2(a885))
% 218.59/218.71 [3222]E(f822(f822(f79(a885),x32221),f2(a885)),x32221)
% 218.59/218.71 [3223]E(f822(f822(f79(a1),x32231),f2(a1)),x32231)
% 218.59/218.71 [3224]E(f822(f822(f80(a885),x32241),f77(a885)),x32241)
% 218.59/218.71 [3225]E(f822(f822(f80(a1),x32251),f77(a1)),x32251)
% 218.59/218.71 [3226]E(f822(f822(f3(a885),x32261),f2(a885)),x32261)
% 218.59/218.71 [3227]E(f822(f822(f181(a885),x32271),f2(a885)),x32271)
% 218.59/218.71 [3228]E(f822(f822(f80(a885),x32281),f2(a885)),f2(a885))
% 218.59/218.71 [3229]E(f822(f822(f35(a1),x32291),f2(a1)),f2(a1))
% 218.59/218.71 [3230]E(f822(f822(f230(a885),x32301),f2(a885)),f2(a885))
% 218.59/218.71 [3237]E(f822(f164(x32371),f108(x32371)),f182(f892(x32371,a882)))
% 218.59/218.71 [3241]P144(f822(f129(x32411),f108(x32411)))
% 218.59/218.71 [3247]E(f822(f146(x32471,x32471),f7(x32471)),f31(f887(x32471)))
% 218.59/218.71 [3248]E(f822(f146(x32481,x32481),f31(x32481)),f31(f887(x32481)))
% 218.59/218.71 [3249]E(f44(a1,x32491,f2(a1)),x32491)
% 218.59/218.71 [3250]E(f822(f226(a885),f822(a107,x32501)),f822(f227(a885),x32501))
% 218.59/218.71 [3251]E(f822(f271(a885),f822(a107,x32511)),f822(f290(a885),x32511))
% 218.59/218.71 [3252]E(f822(f272(a885),f822(a107,x32521)),f822(f293(a885),x32521))
% 218.59/218.71 [3254]E(f44(a1,f2(a1),x32541),f2(a1))
% 218.59/218.71 [3267]E(f822(f822(f79(a885),x32671),f77(a885)),f822(a107,x32671))
% 218.59/218.71 [3276]E(f822(f291(a885,x32761),f2(a885)),f182(f892(a885,a882)))
% 218.59/218.71 [3288]E(f292(a885,f2(a885),x32881),f822(f290(a885),x32881))
% 218.59/218.71 [3331]E(f822(f822(f3(a885),f822(a107,x33311)),f77(a885)),x33311)
% 218.59/218.71 [3343]E(f46(f2(a1),x33431),f822(f822(f243(a1,a1),f2(a1)),f2(a1)))
% 218.59/218.71 [3391]P144(f822(f822(f227(a885),x33911),f822(a107,x33911)))
% 218.59/218.71 [3403]P144(f822(f822(f227(a885),f2(a885)),f822(a107,x34031)))
% 218.59/218.71 [3688]E(f822(f822(f3(a94),f822(a5,f822(a107,f822(a22,x36881)))),f77(a94)),x36881)
% 218.59/218.71 [3759]P144(f822(f822(f226(a1),f822(f78(a1),f822(f95(a1),x37591))),f2(a1)))
% 218.59/218.71 [3903]P144(f822(f822(f227(a1),f822(f78(a1),f822(f95(a1),f822(a107,x39031)))),f2(a1)))
% 218.59/218.71 [4484]~E(f233(f892(x44841,a882)),f182(f892(x44841,a882)))
% 218.59/218.71 [4519]~P144(f822(f822(f227(a885),x45191),f2(a885)))
% 218.59/218.71 [4532]~P144(f822(f822(f227(a1),f822(f95(a1),x45321)),f2(a1)))
% 218.59/218.71 [3205]E(f171(x32051,f108(f887(x32051))),f108(f887(x32051)))
% 218.59/218.71 [3208]E(f822(f822(f80(a1),a82),x32081),a82)
% 218.59/218.71 [3209]E(f822(f822(f79(a1),a82),x32091),x32091)
% 218.59/218.71 [3212]E(f822(a100,f822(f95(a1),x32121)),x32121)
% 218.59/218.71 [3213]E(f822(f822(f79(a1),x32131),a82),x32131)
% 218.59/218.71 [3214]E(f822(f822(f3(a1),x32141),a82),x32141)
% 218.59/218.71 [3216]E(f822(f822(f3(a885),x32161),x32161),f2(a885))
% 218.59/218.71 [3220]E(f822(f78(a1),f822(f78(a1),x32201)),x32201)
% 218.59/218.71 [3221]E(f822(f34(a885),f822(f271(a885),x32211)),x32211)
% 218.59/218.71 [3232]E(f822(f822(f79(a885),f2(a885)),x32321),x32321)
% 218.59/218.71 [3233]E(f822(f822(f79(a1),f2(a1)),x32331),x32331)
% 218.59/218.71 [3234]E(f822(f822(f80(a885),f77(a885)),x32341),x32341)
% 218.59/218.71 [3235]E(f822(f822(f80(a1),f77(a1)),x32351),x32351)
% 218.59/218.71 [3236]E(f822(f822(f181(a885),f2(a885)),x32361),x32361)
% 218.59/218.71 [3242]E(f822(f822(f80(a885),f2(a885)),x32421),f2(a885))
% 218.59/218.71 [3243]E(f822(f822(f35(a1),f2(a1)),x32431),f2(a1))
% 218.59/218.71 [3244]E(f822(f822(f3(a885),f2(a885)),x32441),f2(a885))
% 218.59/218.71 [3245]E(f822(f822(f230(a885),f2(a885)),x32451),f2(a885))
% 218.59/218.71 [3255]E(f121(x32551,f822(f78(a1),x32551)),f124(a1,x32551))
% 218.59/218.71 [3260]E(f822(f291(a885,f2(a885)),x32601),f822(f271(a885),x32601))
% 218.59/218.71 [3261]E(f822(f822(f80(a1),a92),x32611),f822(f78(a1),x32611))
% 218.59/218.71 [3269]E(f822(a100,f822(f99(a1),x32691)),f822(f99(a885),x32691))
% 218.59/218.71 [3270]E(f822(a22,f822(f99(a94),x32701)),f822(f99(a885),x32701))
% 218.59/218.71 [3271]E(f822(f34(a885),f822(f290(a885),x32711)),f822(a107,x32711))
% 218.59/218.71 [3280]E(f822(f822(f79(a885),f77(a885)),x32801),f822(a107,x32801))
% 218.59/218.71 [3284]E(f822(f98(a1),f822(f95(a1),x32841)),f822(f95(a1),x32841))
% 218.59/218.71 [3285]E(f822(f75(a1),f822(f95(a1),x32851)),f822(f95(a1),x32851))
% 218.59/218.71 [3289]E(f822(f34(x32891),f182(f892(x32891,a882))),f2(a885))
% 218.59/218.71 [3291]E(f822(f822(f35(a885),x32911),f822(a107,f2(a885))),x32911)
% 218.59/218.71 [3300]E(f44(a885,x33001,f822(a107,f2(a885))),f2(a885))
% 218.59/218.71 [3301]E(f44(a1,x33011,f822(f99(a1),a92)),f2(a1))
% 218.59/218.71 [3315]E(f822(f822(f35(a1),x33151),f822(f99(a1),a92)),f822(f78(a1),x33151))
% 218.59/218.71 [3319]E(f131(a885,f822(f291(a885,x33191),f2(a885))),f108(a885))
% 218.59/218.71 [3320]E(f822(f822(f3(a1),x33201),f77(a1)),f822(f822(f79(a1),x33201),a92))
% 218.59/218.71 [3321]E(f822(f822(f79(a1),x33211),f77(a1)),f822(f822(f3(a1),x33211),a92))
% 218.59/218.71 [3325]P144(f822(f822(f226(a885),x33251),x33251))
% 218.59/218.71 [3326]P144(f822(f822(f226(a1),x33261),x33261))
% 218.59/218.71 [3327]P144(f822(f822(f276(a885),x33271),x33271))
% 218.59/218.71 [3332]E(f822(f78(a1),f822(f99(a1),x33321)),f822(f99(a1),f822(f78(a1),x33321)))
% 218.59/218.71 [3333]P144(f822(f60(a885),f822(f271(a885),x33331)))
% 218.59/218.71 [3334]P144(f822(f60(a885),f822(f290(a885),x33341)))
% 218.59/218.71 [3341]E(f153(x33411,f233(f892(x33411,a882))),f233(f892(f887(x33411),a882)))
% 218.59/218.71 [3346]P144(f822(f822(f226(a885),f2(a885)),x33461))
% 218.59/218.71 [3356]E(f822(f822(f79(a885),f106(x33561)),f822(a107,f2(a885))),f106(f822(a107,x33561)))
% 218.59/218.71 [3357]E(f822(f253(x33571),f822(f18(a882,x33571),a179)),f233(f892(x33571,a882)))
% 218.59/218.71 [3358]E(f822(f253(x33581),f822(f18(a882,x33581),a180)),f182(f892(x33581,a882)))
% 218.59/218.71 [3362]E(f822(f822(f298(a885),x33621),f822(f271(a885),x33621)),f822(f271(a885),f822(a107,x33621)))
% 218.59/218.71 [3374]E(f822(f822(f79(a1),f77(a1)),f822(f95(a1),x33741)),f822(f95(a1),f822(a107,x33741)))
% 218.59/218.71 [3376]E(f822(f822(f143(f887(x33761)),f108(x33761)),f108(f887(x33761))),f53(x33761,f108(x33761)))
% 218.59/218.71 [3394]E(f182(f892(f891(x33941,x33941),a882)),f254(x33941,f182(f892(x33941,a882))))
% 218.59/218.71 [3395]E(f822(f297(x33951),f233(f892(x33951,a882))),f233(f892(f892(x33951,a882),a882)))
% 218.59/218.71 [3396]E(f822(f78(f892(x33961,a882)),f233(f892(x33961,a882))),f182(f892(x33961,a882)))
% 218.59/218.71 [3397]E(f822(f78(f892(x33971,a882)),f182(f892(x33971,a882))),f233(f892(x33971,a882)))
% 218.59/218.71 [3399]P144(f822(f60(x33991),f182(f892(x33991,a882))))
% 218.59/218.71 [3401]E(f822(f291(a885,x34011),f822(a107,x34011)),f822(f822(f298(a885),x34011),f182(f892(a885,a882))))
% 218.59/218.71 [3402]E(f84(f891(a885,a885),f47(x34021,f2(a885))),f822(f822(f243(a885,a885),f2(a885)),x34021))
% 218.59/218.71 [3415]E(f822(f822(f298(a885),f822(a107,x34151)),f822(f290(a885),x34151)),f822(f290(a885),f822(a107,x34151)))
% 218.59/218.71 [3419]P36(x34191,f182(f892(f891(x34191,x34191),a882)))
% 218.59/218.71 [3420]P38(x34201,f182(f892(f891(x34201,x34201),a882)))
% 218.59/218.71 [3423]P144(f822(f822(f226(a1),f2(a1)),f822(f95(a1),x34231)))
% 218.59/218.71 [3430]E(f822(f822(f79(a885),f822(f183(a885),x34301)),f822(a107,f2(a885))),f822(f183(a885),f822(a107,x34301)))
% 218.59/218.71 [3534]P39(f822(f299(a885,a1,f95(a1)),x35341))
% 218.59/218.71 [3573]P54(x35731,f182(f892(x35731,a882)),f182(f892(f891(x35731,x35731),a882)))
% 218.59/218.71 [3592]E(f822(f822(f243(a1,a1),f822(f99(a1),a92)),f822(f822(f3(a1),x35921),f77(a1))),f49(f822(f99(a1),a92),x35921))
% 218.59/218.71 [3643]P61(x36431,f822(f18(f892(x36431,a882),x36431),f822(f18(a882,x36431),a180)))
% 218.59/218.71 [3655]E(f279(a885,f276(a885),x36551,x36551),f822(f822(f298(a885),x36551),f182(f892(a885,a882))))
% 218.59/218.71 [3846]P144(f822(f822(f318(f892(f891(a885,a885),a882)),f317(x38461)),a93))
% 218.59/218.71 [3871]P144(f822(f822(f318(f892(f891(a885,a885),a882)),f822(a102,x38711)),a93))
% 218.59/218.71 [3997]P26(x39971,f892(x39971,a882),f822(f822(f9(x39971,f892(x39971,a882),f892(x39971,a882)),f298(x39971)),f182(f892(x39971,a882))),f233(f892(x39971,a882)))
% 218.59/218.71 [4481]~E(f822(f822(f79(a1),x44811),x44811),a92)
% 218.59/218.71 [4506]~E(f822(a5,f822(a107,f822(a22,x45061))),f2(a94))
% 218.59/218.71 [4512]~P144(f822(a187,f822(f95(a1),x45121)))
% 218.59/218.71 [4515]~P144(f822(f822(f227(a885),x45151),x45151))
% 218.59/218.71 [4525]~P144(f822(f822(f226(a885),f822(a107,x45251)),x45251))
% 218.59/218.71 [3348]E(f822(a100,f822(f78(a1),f822(f95(a1),x33481))),f2(a885))
% 218.59/218.71 [3351]E(f822(f822(f79(a1),f822(f78(a1),x33511)),x33511),f2(a1))
% 218.59/218.71 [3355]E(f822(f34(a1),f822(f291(a1,f2(a1)),x33551)),f822(a100,x33551))
% 218.59/218.71 [3367]E(f822(f822(f235(a885),f822(a107,f2(a885))),x33671),f822(a107,f2(a885)))
% 218.59/218.71 [3462]E(f822(f270(x34621),f182(f892(f891(x34621,x34621),a882))),f182(f892(x34621,a882)))
% 218.59/218.71 [3470]E(f37(f892(x34701,a882),f233(f892(f892(x34701,a882),a882))),f182(f892(x34701,a882)))
% 218.59/218.71 [3471]E(f37(f892(x34711,a882),f182(f892(f892(x34711,a882),a882))),f233(f892(x34711,a882)))
% 218.59/218.71 [3472]E(f36(f892(x34721,a882),f233(f892(f892(x34721,a882),a882))),f233(f892(x34721,a882)))
% 218.59/218.71 [3473]E(f36(f892(x34731,a882),f182(f892(f892(x34731,a882),a882))),f182(f892(x34731,a882)))
% 218.59/218.71 [3477]P144(f822(f822(f276(a885),f822(a107,f2(a885))),x34771))
% 218.59/218.71 [3516]E(f822(f822(f298(f887(x35161)),f108(x35161)),f182(f892(f887(x35161),a882))),f153(x35161,f182(f892(x35161,a882))))
% 218.59/218.71 [3517]E(f822(f822(f298(f887(x35171)),f108(x35171)),f182(f892(f887(x35171),a882))),f154(x35171,f108(f892(x35171,a882))))
% 218.59/218.71 [3558]E(f822(f822(f79(a885),f6(x35581)),f822(a107,f2(a885))),f6(f822(a5,f822(a107,f822(a22,x35581)))))
% 218.59/218.71 [3583]E(f822(f34(a1),f822(f299(a885,a1,f95(a1)),x35831)),f822(f34(a885),x35831))
% 218.59/218.71 [3586]P144(f822(f822(f226(a885),x35861),f822(f822(f80(a885),x35861),x35861)))
% 218.59/218.71 [3622]E(f822(f299(a1,a885,a100),f292(a1,f2(a1),f822(f95(a1),x36221))),f822(f290(a885),x36221))
% 218.59/218.71 [3638]E(f822(f822(f35(a885),f822(a107,f2(a885))),f822(f99(a885),x36381)),f822(a100,f822(f822(f35(a1),f77(a1)),f822(f99(a1),x36381))))
% 218.59/218.71 [3640]E(f822(f164(a885),f131(a885,f822(f291(a885,f2(a885)),f822(a107,x36401)))),f822(f290(a885),x36401))
% 218.59/218.71 [3641]E(f822(f822(f79(a885),f822(f183(a94),x36411)),f822(a107,f2(a885))),f822(f183(a94),f822(a5,f822(a107,f822(a22,x36411)))))
% 218.59/218.71 [3661]P38(x36611,f296(x36611,f182(f892(f891(x36611,x36611),a882))))
% 218.59/218.71 [3662]P53(x36621,f296(x36621,f182(f892(f891(x36621,x36621),a882))))
% 218.59/218.71 [3663]E(f822(f299(a1,a885,a100),f822(f299(a885,a1,f95(a1)),x36631)),x36631)
% 218.59/218.71 [3694]E(f822(f822(f298(a885),f2(a885)),f822(f299(a885,a885,a107),f822(f271(a885),x36941))),f822(f271(a885),f822(a107,x36941)))
% 218.59/218.71 [3700]P56(x37001,x37001,f296(x37001,f182(f892(f891(x37001,x37001),a882))))
% 218.59/218.71 [3706]P144(f822(a187,f822(f78(a1),f822(f95(a1),f822(a107,x37061)))))
% 218.59/218.71 [3716]E(f822(f822(f3(f892(a885,a882)),f822(f272(a885),x37161)),f822(f822(f298(a885),x37161),f182(f892(a885,a882)))),f822(f272(a885),f822(a107,x37161)))
% 218.59/218.71 [3733]E(f822(f822(f79(a1),f822(f822(f3(a1),a82),x37331)),f822(f822(f3(a1),a82),x37331)),f822(f822(f3(a1),a82),f822(f822(f79(a1),x37331),x37331)))
% 218.59/218.71 [3748]E(f822(f822(f298(f892(x37481,a882)),f182(f892(x37481,a882))),f182(f892(f892(x37481,a882),a882))),f822(f297(x37481),f182(f892(x37481,a882))))
% 218.59/218.71 [3776]E(f822(f822(f3(f892(a885,a882)),f822(f293(a885),x37761)),f822(f822(f298(a885),f822(a107,x37761)),f182(f892(a885,a882)))),f822(f293(a885),f822(a107,x37761)))
% 218.59/218.71 [3883]E(f822(f99(a885),f822(f822(f79(a1),x38831),x38831)),f822(f822(f85(a885,a885),f822(f99(a885),x38831)),f822(f822(f20(a885,a885,a885),f79(a885)),f7(a885))))
% 218.59/218.71 [4249]P16(x42491,f892(x42491,a882),f822(f822(f10(f892(x42491,a882),f892(f892(x42491,a882),f892(x42491,a882)),x42491),f822(f9(f892(x42491,a882),f892(x42491,a882),f892(x42491,a882)),f3(f892(x42491,a882)))),f822(f822(f9(x42491,f892(x42491,a882),f892(x42491,a882)),f298(x42491)),f182(f892(x42491,a882)))))
% 218.59/218.71 [4336]E(f822(f253(f891(a1,a1)),f822(f248(a1,a1,a882),f822(f822(f10(f892(a1,a882),f892(a1,a882),a1),f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f226(a1),x43361)))),f227(a1)))),f103(x43361))
% 218.59/218.71 [4368]E(f822(f253(f891(a1,a1)),f822(f248(a1,a1,a882),f822(f822(f20(a1,f892(a1,a882),f892(a1,a882)),f822(f822(f10(f892(a882,a882),f892(f892(a1,a882),f892(a1,a882)),a1),f10(a882,a882,a1)),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f226(a1),x43681)))),f227(a1)))),f101(x43681))
% 218.59/218.71 [4421]E(f822(f253(f891(f892(x44211,a882),f892(x44211,a882))),f822(f248(f892(x44211,a882),f892(x44211,a882),a882),f822(f822(f9(f892(x44211,a882),f892(f892(x44211,a882),a882),f892(f892(x44211,a882),a882)),f822(f822(f10(f892(f892(x44211,a882),f892(a882,a882)),f892(f892(f892(x44211,a882),a882),f892(f892(x44211,a882),a882)),f892(x44211,a882)),f20(f892(x44211,a882),a882,a882)),f822(f822(f10(f892(f892(x44211,a882),a882),f892(f892(x44211,a882),f892(a882,a882)),f892(x44211,a882)),f822(f10(a882,f892(a882,a882),f892(x44211,a882)),a315)),f227(f892(x44211,a882))))),f60(x44211)))),f303(x44211))
% 218.59/218.71 [4529]~P144(f822(f60(f887(x45291)),f233(f892(f887(x45291),a882))))
% 218.59/218.71 [4541]~P144(f822(f822(f226(a1),f2(a1)),f822(f78(a1),f822(f95(a1),f822(a107,x45411)))))
% 218.59/218.71 [3495]E(f822(f822(f3(a1),f822(f822(f79(a1),x34951),a92)),a92),x34951)
% 218.59/218.71 [3509]E(f822(f164(a885),f131(a885,f822(f291(a885,f2(a885)),x35091))),f822(f271(a885),x35091))
% 218.59/218.71 [3755]E(f822(f822(f79(a1),f822(f822(f79(a1),f77(a1)),x37551)),x37551),f822(f822(f3(a1),f822(f822(f79(a1),x37551),x37551)),a92))
% 218.59/218.71 [3803]E(f822(f275(x38031,x38031),f296(x38031,f182(f892(f891(x38031,x38031),a882)))),f296(x38031,f182(f892(f891(x38031,x38031),a882))))
% 218.59/218.71 [3849]P144(f822(f822(f226(a885),x38491),f822(f822(f80(a885),x38491),f822(f822(f80(a885),x38491),x38491))))
% 218.59/218.71 [4114]P144(f822(f60(a885),f822(f253(a885),f822(f822(f9(a885,a885,a882),f227(a885)),x41141))))
% 218.59/218.71 [4115]P144(f822(f60(a885),f822(f253(a885),f822(f822(f9(a885,a885,a882),f226(a885)),x41151))))
% 218.59/218.71 [4384]E(f822(f253(f891(x43841,x43841)),f822(f822(f10(f892(x43841,a882),a882,f891(x43841,x43841)),f86(x43841)),f822(f822(f9(f891(x43841,x43841),f892(x43841,f891(x43841,x43841)),f892(x43841,a882)),f822(f822(f10(f892(f891(x43841,x43841),a882),f892(f892(x43841,f891(x43841,x43841)),f892(x43841,a882)),f891(x43841,x43841)),f10(f891(x43841,x43841),a882,x43841)),a314)),f822(f822(f20(x43841,x43841,f891(x43841,x43841)),f243(x43841,x43841)),f7(x43841))))),f296(x43841,f182(f892(f891(x43841,x43841),a882))))
% 218.59/218.71 [4531]~E(f822(f822(f3(a1),f822(f822(f79(a1),x45311),x45311)),a92),a82)
% 218.59/218.71 [4533]~E(f822(f822(f79(a1),f822(f822(f79(a1),f77(a1)),x45331)),x45331),f2(a1))
% 218.59/218.71 [3894]E(f822(f822(f79(a1),f822(f822(f3(a1),a92),x38941)),f822(f822(f3(a1),a92),x38941)),f822(f822(f3(a1),a92),f822(f822(f3(a1),f822(f822(f79(a1),x38941),x38941)),a92)))
% 218.59/218.71 [4005]E(f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),a92),x40051)),f822(f822(f3(a1),a92),x40051))),a92),f822(f822(f3(a1),a92),f822(f822(f79(a1),x40051),x40051)))
% 218.59/218.71 [4037]E(f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f79(a1),x40371),a92)),f822(f822(f79(a1),x40371),a92))),a92),f822(f822(f79(a1),f822(f822(f79(a1),x40371),x40371)),a92))
% 218.59/218.71 [4075]E(f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),a92),x40751)),f822(f822(f3(a1),a92),x40751))),a92),f822(f822(f3(a1),a82),f822(f822(f3(a1),f822(f822(f79(a1),x40751),x40751)),a92)))
% 218.59/218.71 [4172]E(f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x41721),f2(a885))),f182(f892(f891(a885,a885),a882))))),f822(f95(a1),x41721))
% 218.59/218.71 [4182]E(f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),f321(x41821)),f452(x41821))),f182(f892(f891(a885,a885),a882))))),x41821)
% 218.59/218.71 [4213]E(f822(f253(a1),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f226(a1),f2(a1)))),x42131)),f822(f299(a885,a1,f95(a1)),f822(f253(a885),f822(f822(f10(a1,a882,a885),x42131),f95(a1)))))
% 218.59/218.71 [4257]P39(f822(f253(a1),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f226(a1),f2(a1)))),x42571)))
% 218.59/218.71 [4277]P144(f822(f822(f318(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f243(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),x42771),f182(f892(f891(a885,a885),a882)))),a71))
% 218.59/218.71 [4282]E(f822(f299(a1,a885,a100),f822(f253(a1),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f226(a1),f2(a1)))),f822(f822(f10(a885,a882,a1),x42821),a100)))),f822(f253(a885),x42821))
% 218.59/218.71 [4436]E(f301(a885,f822(f822(f38(f891(a885,a885),f892(a885,a882)),f822(a102,x44361)),f822(f248(a885,a885,f892(a885,a882)),f822(f822(f9(a885,f892(a885,a882),f892(a885,f892(a885,a882))),f822(f822(f10(f892(a885,f892(f892(a885,a882),f892(a885,a882))),f892(f892(a885,a882),f892(a885,f892(a885,a882))),a885),f9(a885,f892(a885,a882),f892(a885,a882))),f822(f822(f10(f892(a885,a885),f892(a885,f892(f892(a885,a882),f892(a885,a882))),a885),f822(f10(a885,f892(f892(a885,a882),f892(a885,a882)),a885),f298(a885))),f3(a885)))),f182(f892(a885,a882)))))),f822(a100,x44361))
% 218.59/218.71 [3938]E(f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),x39381),x39381)),a92)),a92),f822(f822(f79(a1),x39381),x39381))
% 218.59/218.71 [3986]E(f822(f822(f3(a1),f822(f822(f3(a1),f822(f822(f79(a1),x39861),x39861)),a92)),a92),f822(f822(f79(a1),f822(f822(f3(a1),x39861),a92)),f822(f822(f3(a1),x39861),a92)))
% 218.59/218.71 [4188]E(f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f79(a1),f822(f78(a1),x41881)),a92)),f822(f822(f79(a1),f822(f78(a1),x41881)),a92))),a92),f822(f78(a1),f822(f822(f3(a1),f822(f822(f79(a1),x41881),x41881)),a92)))
% 218.59/218.71 [4230]E(f822(f822(f79(a885),x42301),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(a107,f822(a107,x42301)))
% 218.59/218.71 [4231]E(f822(f822(f80(a885),x42311),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(f822(f79(a885),x42311),x42311))
% 218.59/218.71 [4232]E(f822(f822(f35(a885),f822(f822(f79(a885),x42321),x42321)),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x42321)
% 218.59/218.71 [4310]E(f44(a885,f822(a107,f822(a107,x43101)),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f44(a885,x43101,f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))
% 218.59/218.71 [4450]E(f822(a88,f822(f822(f38(f891(a885,a885),f892(f891(a885,a885),a882)),f822(a102,x44501)),f822(f248(a885,a885,f892(f891(a885,a885),a882)),f822(f822(f10(f892(a885,f892(f891(a885,a885),a882)),f892(a885,f892(f891(a885,a885),a882)),a885),f822(f10(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882),a885),f274(f891(a885,a885),f891(a885,a885),a104))),f822(f822(f9(a885,f892(f891(a885,a885),a882),f892(a885,f892(f891(a885,a885),a882))),f822(f822(f10(f892(a885,f892(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f892(f892(f891(a885,a885),a882),f892(a885,f892(f891(a885,a885),a882))),a885),f9(a885,f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f10(f892(a885,f891(a885,a885)),f892(a885,f892(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),a885),f822(f10(f891(a885,a885),f892(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),a885),f298(f891(a885,a885)))),f822(f9(a885,a885,f891(a885,a885)),f243(a885,a885))))),f182(f892(f891(a885,a885),a882))))))),f822(f78(a1),x44501))
% 218.59/218.71 [4305]E(f822(f822(f79(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x43051),f822(a107,f822(a107,x43051)))
% 218.59/218.71 [4306]E(f822(f822(f80(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x43061),f822(f822(f79(a885),x43061),x43061))
% 218.59/218.71 [4341]E(f822(f822(f35(a885),f822(a107,f822(a107,x43411))),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(a107,f822(f822(f35(a885),x43411),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))))
% 218.59/218.71 [4391]E(f822(f822(f79(a885),f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),a92))),x43911),f822(a107,f822(a107,f822(a107,x43911))))
% 218.59/218.71 [4457]E(f822(f248(a1,a1,f891(a1,a1)),f822(f822(f20(a1,f892(a1,f891(a1,a1)),f892(a1,f891(a1,a1))),f822(f822(f10(f892(a1,f892(f891(a1,a1),f891(a1,a1))),f892(f892(a1,f891(a1,a1)),f892(a1,f891(a1,a1))),a1),f20(a1,f891(a1,a1),f891(a1,a1))),f822(f822(f10(f892(a1,f891(a1,a1)),f892(a1,f892(f891(a1,a1),f891(a1,a1))),a1),f822(f20(a1,f891(a1,a1),f892(f891(a1,a1),f891(a1,a1))),f822(f822(f10(a882,f892(f891(a1,a1),f892(f891(a1,a1),f891(a1,a1))),a1),f90(f891(a1,a1))),f822(f822(f10(a1,a882,a1),f822(f226(a1),f2(a1))),f822(f822(f9(a1,a1,a1),f3(a1)),x44571))))),f822(f822(f9(a1,f892(a1,a1),f892(a1,f891(a1,a1))),f822(f822(f10(f892(a1,f891(a1,a1)),f892(f892(a1,a1),f892(a1,f891(a1,a1))),a1),f10(a1,f891(a1,a1),a1)),f822(f822(f10(a1,f892(a1,f891(a1,a1)),a1),f243(a1,a1)),f822(f822(f9(a1,a1,a1),f822(f822(f10(a1,f892(a1,a1),a1),f79(a1)),f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))),f77(a1))))),f822(f822(f9(a1,a1,a1),f3(a1)),x44571))))),f822(f822(f10(a1,f892(a1,f891(a1,a1)),a1),f243(a1,a1)),f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))))),f42(x44571))
% 218.59/218.71 [3537]P40(a25,x35371,x35372,x35371)
% 218.59/218.71 [3176]P108(f891(x31761,x31762))
% 218.59/218.71 [3177]P108(f890(x31771,x31772))
% 218.59/218.71 [3178]P108(f893(x31781,x31782))
% 218.59/218.71 [3194]P15(a1,f170(x31941,x31942))
% 218.59/218.71 [3195]P36(x31951,f145(x31951,x31952))
% 218.59/218.71 [3196]P37(x31961,f254(x31961,x31962))
% 218.59/218.71 [3197]P37(x31971,f296(x31971,x31972))
% 218.59/218.71 [3198]P38(x31981,f254(x31981,x31982))
% 218.59/218.71 [3199]P53(x31991,f254(x31991,x31992))
% 218.59/218.71 [3262]P30(x32621,x32622,f108(x32621))
% 218.59/218.71 [3295]P54(x32951,x32952,f254(x32951,x32952))
% 218.59/218.71 [3296]P56(x32961,x32961,f254(x32961,x32962))
% 218.59/218.71 [3561]P26(x35611,x35611,f7(x35611),x35612)
% 218.59/218.71 [3562]P26(x35621,x35621,f31(x35621),x35622)
% 218.59/218.71 [3569]P31(x35691,x35692,f108(x35691),f108(x35691))
% 218.59/218.71 [3577]P26(f887(x35771),f887(x35771),f160(x35771),x35772)
% 218.59/218.71 [4467]~E(f30(x44671,x44672),a25)
% 218.59/218.71 [4468]~E(f29(x44681,x44682),a25)
% 218.59/218.71 [4493]~P32(x44931,x44932,f108(x44931))
% 218.59/218.71 [4494]~P34(x44941,x44942,f108(x44941))
% 218.59/218.71 [3162]E(f822(f7(x31621),x31622),x31622)
% 218.59/218.71 [3163]E(f822(f253(x31631),x31632),x31632)
% 218.59/218.71 [3165]E(f822(f31(x31651),x31652),x31652)
% 218.59/218.71 [3175]E(f822(f185(x31751),x31752),f110(x31751))
% 218.59/218.71 [3192]E(f84(x31921,f822(a314,x31922)),x31922)
% 218.59/218.71 [3193]E(f89(x31931,f822(a314,x31932)),x31932)
% 218.59/218.71 [3215]E(f822(f119(x32151,x32152),f114(x32151)),f2(a885))
% 218.59/218.71 [3218]E(f822(f128(x32181,x32182),f108(x32181)),f108(x32181))
% 218.59/218.71 [3238]E(f296(x32381,f296(x32381,x32382)),f296(x32381,x32382))
% 218.59/218.71 [3239]E(f144(x32391,f144(x32391,x32392)),f144(x32391,x32392))
% 218.59/218.71 [3257]E(f822(f822(f126(x32571),x32572),f108(x32571)),x32572)
% 218.59/218.71 [3263]E(f165(x32631,x32632,f108(x32631)),x32632)
% 218.59/218.71 [3264]E(f111(x32641,f114(x32641),x32642),x32642)
% 218.59/218.71 [3265]E(f165(x32651,f108(x32651),x32652),x32652)
% 218.59/218.71 [3266]E(f161(x32661,f2(a885),x32662),f108(x32661))
% 218.59/218.71 [3272]E(f822(f822(f167(x32721),x32722),f108(x32721)),f108(x32721))
% 218.59/218.71 [3273]E(f822(f822(f130(x32731),x32732),f108(x32731)),f108(x32731))
% 218.59/218.71 [3275]E(f147(x32751,x32752,f108(x32751)),f2(a885))
% 218.59/218.71 [3277]E(f162(x32771,x32772,f108(x32771)),f108(x32771))
% 218.59/218.71 [3278]E(f169(x32781,x32782,f108(x32781)),f108(x32781))
% 218.59/218.71 [3279]E(f168(x32791,f108(x32791),x32792),f108(x32791))
% 218.59/218.71 [3283]E(f822(f164(x32831),f144(x32831,x32832)),f822(f164(x32831),x32832))
% 218.59/218.71 [3286]E(f822(f273(x32861,x32861),f254(x32861,x32862)),x32862)
% 218.59/218.71 [3287]E(f822(f255(x32871,x32871),f254(x32871,x32872)),x32872)
% 218.59/218.71 [3294]E(f822(f275(x32941,x32941),f254(x32941,x32942)),f254(x32941,x32942))
% 218.59/218.71 [3307]E(f296(f887(x33071),f149(x33071,x33072)),f150(x33071,f296(x33071,x33072)))
% 218.59/218.71 [3309]P144(f822(f129(a1),f170(x33091,x33092)))
% 218.59/218.71 [3317]E(f822(f273(x33171,x33171),f296(x33171,x33172)),f233(f892(x33171,a882)))
% 218.59/218.71 [3318]E(f822(f255(x33181,x33181),f296(x33181,x33182)),f233(f892(x33181,a882)))
% 218.59/218.71 [3322]P144(f822(f129(x33221),f144(x33221,x33222)))
% 218.59/218.71 [3324]P144(f822(f152(x33241,x33242),f108(x33241)))
% 218.59/218.71 [3330]E(f822(f164(a1),f170(x33301,x33302)),f292(a1,x33301,x33302))
% 218.59/218.71 [3344]P57(x33441,f182(f892(x33441,a882)),x33442)
% 218.59/218.71 [3349]E(f822(f247(a1,a1),f45(x33491,x33492)),f44(a1,x33491,x33492))
% 218.59/218.71 [3350]E(f822(f291(a885,x33501),f822(a107,x33502)),f292(a885,x33501,x33502))
% 218.59/218.71 [3366]E(f822(f822(f143(x33661),x33662),f108(x33661)),f132(x33661,x33662,f108(x33661)))
% 218.59/218.71 [3378]E(f292(a885,f822(a107,x33781),x33782),f294(a885,x33781,x33782))
% 218.59/218.71 [3379]P54(x33791,f233(f892(x33791,a882)),f296(x33791,x33792))
% 218.59/218.71 [3442]E(f822(f822(f3(a885),x34421),f822(a107,x34422)),f822(f34(a885),f295(a885,x34422,x34421)))
% 218.59/218.71 [3496]E(f158(x34961,x34962,f108(x34961)),f822(f822(f243(f887(x34961),f887(x34961)),f108(x34961)),f108(x34961)))
% 218.59/218.71 [3514]E(f822(f248(x35141,x35142,f891(x35141,x35142)),f243(x35141,x35142)),f31(f891(x35141,x35142)))
% 218.59/218.71 [3518]P144(f822(f822(f318(f887(x35181)),f108(x35181)),f153(x35181,x35182)))
% 218.59/218.71 [3519]E(f822(f183(f887(x35191)),f109(x35191,x35192)),f822(f822(f3(a885),f822(f183(f887(x35191)),x35192)),f77(a885)))
% 218.59/218.71 [3528]P144(f822(f60(a885),f292(a885,x35281,x35282)))
% 218.59/218.71 [3529]P144(f822(f60(a885),f294(a885,x35291,x35292)))
% 218.59/218.71 [3530]P144(f822(f60(a885),f295(a885,x35301,x35302)))
% 218.59/218.71 [3531]P144(f822(f60(a1),f292(a1,x35311,x35312)))
% 218.59/218.71 [3532]P144(f822(f60(a1),f294(a1,x35321,x35322)))
% 218.59/218.71 [3533]P144(f822(f60(a1),f295(a1,x35331,x35332)))
% 218.59/218.71 [3637]E(f822(f299(a885,a885,a107),f292(a885,x36371,x36372)),f292(a885,f822(a107,x36371),f822(a107,x36372)))
% 218.59/218.71 [3657]E(f822(f822(f278(x36571,x36571,x36571),f296(x36571,x36572)),f296(x36571,x36572)),f296(x36571,x36572))
% 218.59/218.71 [3692]E(f822(f822(f243(a1,a1),f822(f822(f35(a1),x36921),x36922)),f44(a1,x36921,x36922)),f45(x36921,x36922))
% 218.59/218.71 [3693]E(f822(f822(f243(a94,a94),f822(f822(f35(a94),x36931),x36932)),f44(a94,x36931,x36932)),f23(x36931,x36932))
% 218.59/218.71 [3720]E(f822(f822(f243(a885,a885),f822(f822(f35(a885),x37201),x37202)),f44(a885,x37201,x37202)),f84(f891(a885,a885),f47(x37201,x37202)))
% 218.59/218.71 [3772]P144(f822(f822(f227(a885),f822(f822(f3(a885),x37721),x37722)),f822(a107,x37721)))
% 218.59/218.71 [3820]P37(x38201,f822(f822(f278(x38201,x38201,x38201),x38202),f296(x38201,x38202)))
% 218.59/218.71 [3870]E(f822(f822(f79(a1),f822(f822(f80(a1),x38701),f822(f822(f35(a1),x38702),x38701))),f44(a1,x38702,x38701)),x38702)
% 218.59/218.71 [3874]E(f822(f822(f38(a885,f892(f891(f887(x38741),f887(x38741)),a882)),f233(f892(a885,a882))),f135(x38741,x38742)),f137(x38741,x38742))
% 218.59/218.71 [4091]P144(f822(f822(f318(f891(f887(x40911),f887(x40911))),f822(f822(f243(f887(x40911),f887(x40911)),f108(x40911)),f108(x40911))),f150(x40911,x40912)))
% 218.59/218.71 [4200]E(f244(x42001,x42001,x42001,a314,f244(x42001,x42001,x42001,x42002,a314)),x42002)
% 218.59/218.71 [4242]E(f249(x42421,x42421,x42422,x42422,f7(x42421),f7(x42422)),f31(f891(x42421,x42422)))
% 218.59/218.71 [4244]E(f249(x42441,x42441,x42442,x42442,f31(x42441),f31(x42442)),f31(f891(x42441,x42442)))
% 218.59/218.71 [3256]E(f822(f160(x32561),f822(f160(x32561),x32562)),x32562)
% 218.59/218.71 [3258]E(f822(f822(f130(x32581),f2(a885)),x32582),x32582)
% 218.59/218.71 [3274]E(f822(f822(f167(x32741),f2(a885)),x32742),f108(x32741))
% 218.59/218.71 [3281]E(f822(f822(f126(x32811),f108(x32811)),x32812),x32812)
% 218.59/218.71 [3290]E(f36(f892(x32901,a882),f822(f297(x32901),x32902)),x32902)
% 218.59/218.71 [3292]E(f822(f164(x32921),f822(f159(x32921),x32922)),f822(f164(x32921),x32922))
% 218.59/218.71 [3293]E(f822(f164(x32931),f822(f160(x32931),x32932)),f822(f164(x32931),x32932))
% 218.59/218.71 [3298]E(f822(f822(f3(a94),x32981),x32982),f822(f822(a4,x32981),x32982))
% 218.59/218.71 [3311]E(f822(f822(f79(a885),x33111),x33112),f822(f822(f79(a885),x33112),x33111))
% 218.59/218.71 [3312]E(f822(f822(f79(a1),x33121),x33122),f822(f822(f79(a1),x33122),x33121))
% 218.59/218.71 [3313]E(f822(f822(f80(a885),x33131),x33132),f822(f822(f80(a885),x33132),x33131))
% 218.59/218.71 [3314]E(f822(f822(f80(a1),x33141),x33142),f822(f822(f80(a1),x33142),x33141))
% 218.59/218.71 [3336]E(f822(f822(f175(x33361,x33361),f2(a885)),x33362),f31(x33361))
% 218.59/218.71 [3337]E(f822(f183(f887(x33371)),f822(f159(x33371),x33372)),f822(f183(f887(x33371)),x33372))
% 218.59/218.71 [3338]E(f822(f183(f887(x33381)),f822(f160(x33381),x33382)),f822(f183(f887(x33381)),x33382))
% 218.59/218.71 [3339]E(f168(x33391,x33392,f182(f892(a885,a882))),f108(x33391))
% 218.59/218.71 [3340]E(f822(f822(f146(x33401,x33401),f7(x33401)),x33402),x33402)
% 218.59/218.71 [3342]E(f822(f242(a1,a1),f45(x33421,x33422)),f822(f822(f35(a1),x33421),x33422))
% 218.59/218.71 [3359]E(f822(f183(f887(x33591)),f144(x33591,x33592)),f822(f34(x33591),f822(f164(x33591),x33592)))
% 218.59/218.71 [3360]E(f28(f29(x33601,x33602)),f822(f822(f79(a885),f28(x33602)),f822(a107,f2(a885))))
% 218.59/218.71 [3361]E(f822(f270(x33611),f822(f275(x33611,x33611),x33612)),f822(f270(x33611),x33612))
% 218.59/218.71 [3365]P144(f822(f60(x33651),f822(f164(x33651),x33652)))
% 218.59/218.71 [3373]E(f822(f822(f79(a1),x33731),f822(f78(a1),x33732)),f822(f822(f3(a1),x33731),x33732))
% 218.59/218.71 [3380]E(f822(f299(x33801,x33801,f7(x33801)),x33802),x33802)
% 218.59/218.71 [3381]E(f822(f299(x33811,x33811,f31(x33811)),x33812),x33812)
% 218.59/218.71 [3382]E(f822(f300(x33821,x33821,f7(x33821)),x33822),x33822)
% 218.59/218.71 [3383]E(f822(f300(x33831,x33831,f31(x33831)),x33832),x33832)
% 218.59/218.71 [3384]P144(f822(f233(f892(x33841,a882)),x33842))
% 218.59/218.71 [3386]E(f822(f34(a885),f822(f291(a885,x33861),x33862)),f822(f822(f3(a885),x33862),x33861))
% 218.59/218.71 [3387]E(f822(f291(a885,f822(a107,x33871)),x33872),f295(a885,x33871,x33872))
% 218.59/218.71 [3400]E(f822(f822(f298(x34001),x34002),f182(f892(x34001,a882))),f822(f253(x34001),f822(a314,x34002)))
% 218.59/218.71 [3405]E(f296(x34051,f822(f275(x34051,x34051),x34052)),f822(f275(x34051,x34051),f296(x34051,x34052)))
% 218.59/218.71 [3410]E(f822(f822(f79(a885),f822(a107,x34101)),x34102),f822(f822(f79(a885),x34101),f822(a107,x34102)))
% 218.59/218.71 [3411]E(f822(f822(f3(a885),f822(a107,x34111)),f822(a107,x34112)),f822(f822(f3(a885),x34111),x34112))
% 218.59/218.71 [3417]E(f54(x34171,f2(a885),x34172),f822(f822(f143(f887(x34171)),f108(x34171)),f108(f887(x34171))))
% 218.59/218.71 [3418]E(f822(f34(a885),f294(a885,x34181,x34182)),f822(f822(f3(a885),x34182),x34181))
% 218.59/218.71 [3427]P36(x34271,f822(f822(f277(a885,x34271),a231),x34272))
% 218.59/218.71 [3429]P15(a885,f131(a885,f822(f291(a885,x34291),x34292)))
% 218.59/218.71 [3431]P144(f822(f60(a885),f822(f291(a885,x34311),x34312)))
% 218.59/218.71 [3432]P144(f822(f60(a1),f822(f291(a1,x34321),x34322)))
% 218.59/218.71 [3435]E(f822(f275(f887(x34351),f887(x34351)),f149(x34351,x34352)),f149(x34351,f822(f275(x34351,x34351),x34352)))
% 218.59/218.71 [3436]E(f822(f183(a883),f29(x34361,x34362)),f822(f822(f79(a885),f822(f183(a883),x34362)),f822(a107,f2(a885))))
% 218.59/218.71 [3438]E(f822(f291(a1,x34381),f822(f822(f79(a1),x34382),f77(a1))),f292(a1,x34381,x34382))
% 218.59/218.71 [3441]E(f822(f822(f35(a1),f822(f78(a1),x34411)),f822(f78(a1),x34412)),f822(f822(f35(a1),x34411),x34412))
% 218.59/218.71 [3449]E(f822(f822(f175(f891(x34491,x34491),a882),f77(a885)),x34492),x34492)
% 218.59/218.71 [3451]E(f822(f822(f3(f892(x34511,a882)),x34512),f182(f892(x34511,a882))),x34512)
% 218.59/218.71 [3452]E(f822(f822(f96(f892(x34521,a882)),x34522),f182(f892(x34521,a882))),x34522)
% 218.59/218.71 [3453]E(f822(f822(f97(f892(x34531,a882)),x34532),f233(f892(x34531,a882))),x34532)
% 218.59/218.71 [3454]E(f822(f242(a885,a885),f84(f891(a885,a885),f47(x34541,x34542))),f822(f822(f35(a885),x34541),x34542))
% 218.59/218.71 [3461]E(f292(a1,f822(f822(f79(a1),x34611),f77(a1)),x34612),f294(a1,x34611,x34612))
% 218.59/218.71 [3466]E(f822(f247(a885,a885),f84(f891(a885,a885),f47(x34661,x34662))),f44(a885,x34661,x34662))
% 218.59/218.71 [3476]P144(f822(f822(f318(x34761),x34762),f233(f892(x34761,a882))))
% 218.59/218.71 [3480]E(f822(f822(f3(a885),f822(a107,x34801)),x34802),f822(f34(a885),f292(a885,x34802,x34801)))
% 218.59/218.71 [3505]E(f822(f822(f3(f892(x35051,a882)),x35052),f233(f892(x35051,a882))),f182(f892(x35051,a882)))
% 218.59/218.71 [3506]E(f822(f822(f96(f892(x35061,a882)),x35062),f233(f892(x35061,a882))),f233(f892(x35061,a882)))
% 218.59/218.71 [3507]E(f822(f822(f97(f892(x35071,a882)),x35072),f182(f892(x35071,a882))),f182(f892(x35071,a882)))
% 218.59/218.71 [3522]E(f44(a1,f822(f95(a1),x35221),f822(f95(a1),x35222)),f822(f95(a1),f44(a885,x35221,x35222)))
% 218.59/218.71 [3523]E(f44(a1,f822(f78(a1),x35231),f822(f78(a1),x35232)),f822(f78(a1),f44(a1,x35231,x35232)))
% 218.59/218.71 [3535]E(f822(f183(f887(x35351)),f822(f163(x35351),x35352)),f822(f822(f3(a885),f822(f183(f887(x35351)),x35352)),f77(a885)))
% 218.59/218.71 [3563]E(f822(f822(f35(a1),f44(a1,x35631,x35632)),x35632),f2(a1))
% 218.59/218.71 [3571]E(f822(a5,f44(a885,f822(a22,x35711),f822(a22,x35712))),f44(a94,x35711,x35712))
% 218.59/218.71 [3605]E(f822(a5,f822(f822(f79(a885),f822(a22,x36051)),f822(a22,x36052))),f822(f822(f79(a94),x36051),x36052))
% 218.59/218.71 [3606]E(f822(a5,f822(f822(f80(a885),f822(a22,x36061)),f822(a22,x36062))),f822(f822(f80(a94),x36061),x36062))
% 218.59/218.71 [3607]E(f822(a5,f822(f822(f35(a885),f822(a22,x36071)),f822(a22,x36072))),f822(f822(f35(a94),x36071),x36072))
% 218.59/218.71 [3608]E(f822(a5,f822(f822(f3(a885),f822(a22,x36081)),f822(a22,x36082))),f822(f822(f3(a94),x36081),x36082))
% 218.59/218.71 [3616]E(f822(f299(a885,a885,a107),f822(f291(a885,x36161),x36162)),f822(f291(a885,f822(a107,x36161)),f822(a107,x36162)))
% 218.59/218.71 [3642]P144(f822(f47(x36421,x36422),f84(f891(a885,a885),f47(x36421,x36422))))
% 218.59/218.71 [3666]E(f822(f822(f79(a885),f822(f822(f79(a885),f28(x36661)),f28(x36662))),f822(a107,f2(a885))),f28(f30(x36661,x36662)))
% 218.59/218.71 [3667]E(f44(a885,f822(a107,f44(a885,x36671,x36672)),x36672),f44(a885,f822(a107,x36671),x36672))
% 218.59/218.71 [3679]E(f822(f822(f39(f892(x36791,a882),f892(x36791,a882)),x36792),f7(f892(x36791,a882))),f37(f892(x36791,a882),x36792))
% 218.59/218.71 [3680]E(f822(f822(f38(f892(x36801,a882),f892(x36801,a882)),x36802),f7(f892(x36801,a882))),f36(f892(x36801,a882),x36802))
% 218.59/218.71 [3681]E(f822(f299(f887(x36811),f892(x36811,a882),f164(x36811)),f822(f164(f887(x36811)),f53(x36811,x36812))),f822(f297(x36811),f822(f164(x36811),x36812)))
% 218.59/218.71 [3685]P144(f822(f822(f318(f892(x36851,a882)),x36852),f822(f297(x36851),x36852)))
% 218.59/218.71 [3691]E(f44(a1,f822(f78(a1),f44(a1,x36911,x36912)),x36912),f44(a1,f822(f78(a1),x36911),x36912))
% 218.59/218.71 [3702]P144(f822(f822(f226(f892(x37021,a882)),x37022),f233(f892(x37021,a882))))
% 218.59/218.71 [3704]E(f822(f822(f278(x37041,x37041,x37041),f296(x37041,x37042)),f296(x37041,f296(x37041,x37042))),f296(x37041,x37042))
% 218.59/218.71 [3705]E(f822(f822(f96(f892(x37051,a882)),f822(f255(x37051,x37051),x37052)),f822(f273(x37051,x37051),x37052)),f822(f270(x37051),x37052))
% 218.59/218.71 [3726]E(f302(x37261,x37262,f233(f892(x37261,a882)),f233(f892(x37262,a882))),f233(f892(f893(x37261,x37262),a882)))
% 218.59/218.71 [3777]P144(f822(f822(f226(a885),f44(a885,x37771,x37772)),x37771))
% 218.59/218.71 [3801]P144(f822(f822(f226(a1),f822(f78(a1),f822(f95(a1),x38011))),f822(f95(a1),x38012)))
% 218.59/218.71 [3825]P144(f822(f822(f318(f892(x38251,a882)),f182(f892(x38251,a882))),f822(f297(x38251),x38252)))
% 218.59/218.71 [3830]E(f296(x38301,f822(f822(f278(x38301,x38301,x38301),x38302),f296(x38301,x38302))),f296(x38301,x38302))
% 218.59/218.71 [3833]E(f822(f822(f278(x38331,x38331,x38331),f296(x38331,x38332)),x38332),f822(f822(f278(x38331,x38331,x38331),x38332),f296(x38331,x38332)))
% 218.59/218.71 [3835]E(f822(a100,f822(f822(f79(a1),f822(f822(f3(a1),x38351),x38352)),f77(a1))),f822(f34(a1),f292(a1,x38352,x38351)))
% 218.59/218.71 [3850]E(f822(f273(x38501,x38501),f822(f822(f278(x38501,x38501,x38501),x38502),f296(x38501,x38502))),f822(f273(x38501,x38501),x38502))
% 218.59/218.71 [3851]E(f822(f255(x38511,x38511),f822(f822(f278(x38511,x38511,x38511),x38512),f296(x38511,x38512))),f822(f255(x38511,x38511),x38512))
% 218.59/218.71 [3866]E(f822(f822(f79(a885),f822(f822(f79(a885),f822(f183(a883),x38661)),f822(f183(a883),x38662))),f822(a107,f2(a885))),f822(f183(a883),f30(x38661,x38662)))
% 218.59/218.71 [3869]E(f822(f134(f887(x38691),f887(x38691),f126(x38691),f108(x38691)),f161(f887(x38691),x38692,f108(x38691))),f108(x38691))
% 218.59/218.71 [3878]P26(a885,a885,f822(f822(f9(a885,a885,a885),f79(a885)),x38781),x38782)
% 218.59/218.71 [3880]P15(a885,f822(f160(a885),f822(f822(f146(f887(x38801),a885),f183(f887(x38801))),f171(x38801,x38802))))
% 218.59/218.71 [3911]P53(x39111,f822(f822(f96(f892(f891(x39111,x39111),a882)),x39112),f822(f275(x39111,x39111),x39112)))
% 218.59/218.71 [3912]P53(x39121,f822(f822(f97(f892(f891(x39121,x39121),a882)),x39122),f822(f275(x39121,x39121),x39122)))
% 218.59/218.71 [3923]P144(f822(f822(f227(a1),f822(f78(a1),f822(f95(a1),f822(a107,x39231)))),f822(f95(a1),x39232)))
% 218.59/218.71 [3967]E(f822(f134(f887(x39671),x39671,f822(f9(x39671,f887(x39671),f887(x39671)),f143(x39671)),f108(x39671)),x39672),f822(f160(x39671),x39672))
% 218.59/218.71 [4012]P144(f822(f822(f226(f892(f891(f887(x40121),f887(x40121)),a882)),f150(x40121,x40122)),f296(f887(x40121),f149(x40121,x40122))))
% 218.59/218.71 [4041]P144(f822(f47(x40411,x40412),f822(f822(f243(a885,a885),f822(f822(f35(a885),x40411),x40412)),f44(a885,x40411,x40412))))
% 218.59/218.71 [4053]P144(f822(f822(f226(f892(f891(f887(x40531),f887(x40531)),a882)),f149(x40531,f296(x40531,x40532))),f296(f887(x40531),f149(x40531,x40532))))
% 218.59/218.71 [4267]E(f822(f822(f250(f891(a94,a94),a94,f891(a94,a94),f891(x42671,f891(a94,a94))),f258(f822(f157(a94),f822(f822(f146(f891(a94,x42671),a94),f242(a94,x42671)),x42672)))),f822(f822(f10(x42671,f892(f891(a94,a94),f891(x42671,f891(a94,a94))),a94),f243(x42671,f891(a94,a94))),f259(x42671,x42672))),f257(x42671,x42672))
% 218.59/218.71 [4343]E(f217(a885,f891(x43431,f886(x43431)),f2(a885),f822(f248(x43431,f886(x43431),a885),f822(f18(f892(f886(x43431),a885),x43431),f822(f822(f9(f886(x43431),a885,a885),f822(f822(f10(a885,f892(a885,a885),f886(x43431)),f79(a885)),f183(f886(x43431)))),f77(a885)))),f822(f127(x43431),x43432)),f822(f183(f886(x43431)),x43432))
% 218.59/218.71 [4449]E(f822(f248(f892(f891(x44491,x44491),a882),f892(f891(x44491,x44491),a882),f892(f892(x44492,x44491),f891(f892(f891(x44492,x44492),a882),f892(f891(x44492,x44492),a882)))),f822(f822(f9(f892(f891(x44491,x44491),a882),f892(f892(f891(x44491,x44491),a882),f892(f892(x44492,x44491),f892(f891(x44492,x44492),a882))),f892(f892(f891(x44491,x44491),a882),f892(f892(x44492,x44491),f891(f892(f891(x44492,x44492),a882),f892(f891(x44492,x44492),a882))))),f822(f822(f10(f892(f892(f892(x44492,x44491),f892(f891(x44492,x44492),a882)),f892(f892(x44492,x44491),f891(f892(f891(x44492,x44492),a882),f892(f891(x44492,x44492),a882)))),f892(f892(f892(f891(x44491,x44491),a882),f892(f892(x44492,x44491),f892(f891(x44492,x44492),a882))),f892(f892(f891(x44491,x44491),a882),f892(f892(x44492,x44491),f891(f892(f891(x44492,x44492),a882),f892(f891(x44492,x44492),a882))))),f892(f891(x44491,x44491),a882)),f10(f892(f892(x44492,x44491),f892(f891(x44492,x44492),a882)),f892(f892(x44492,x44491),f891(f892(f891(x44492,x44492),a882),f892(f891(x44492,x44492),a882))),f892(f891(x44491,x44491),a882))),f822(f822(f10(f892(f892(x44492,x44491),f892(f892(f891(x44492,x44492),a882),f891(f892(f891(x44492,x44492),a882),f892(f891(x44492,x44492),a882)))),f892(f892(f892(x44492,x44491),f892(f891(x44492,x44492),a882)),f892(f892(x44492,x44491),f891(f892(f891(x44492,x44492),a882),f892(f891(x44492,x44492),a882)))),f892(f891(x44491,x44491),a882)),f20(f892(x44492,x44491),f892(f891(x44492,x44492),a882),f891(f892(f891(x44492,x44492),a882),f892(f891(x44492,x44492),a882)))),f822(f822(f10(f892(f892(x44492,x44491),f892(f891(x44492,x44492),a882)),f892(f892(x44492,x44491),f892(f892(f891(x44492,x44492),a882),f891(f892(f891(x44492,x44492),a882),f892(f891(x44492,x44492),a882)))),f892(f891(x44491,x44491),a882)),f822(f10(f892(f891(x44492,x44492),a882),f892(f892(f891(x44492,x44492),a882),f891(f892(f891(x44492,x44492),a882),f892(f891(x44492,x44492),a882))),f892(x44492,x44491)),f243(f892(f891(x44492,x44492),a882),f892(f891(x44492,x44492),a882)))),f277(x44491,x44492))))),f277(x44491,x44492))),f73(x44491,x44492))
% 218.59/218.71 [4513]~E(f822(f297(x45131),x45132),f182(f892(f892(x45131,a882),a882)))
% 218.59/218.71 [4524]~P144(f822(f822(f164(x45241),f108(x45241)),x45242))
% 218.59/218.71 [4528]~P144(f822(f822(f318(x45281),x45282),f182(f892(x45281,a882))))
% 218.59/218.71 [4536]~P144(f822(f822(f227(f892(x45361,a882)),x45362),f182(f892(x45361,a882))))
% 218.59/218.71 [3389]E(f822(f822(f3(a885),x33891),f822(f822(f79(a885),x33891),x33892)),f2(a885))
% 218.59/218.71 [3392]E(f822(f822(f96(f892(x33921,a882)),x33922),x33922),x33922)
% 218.59/218.71 [3393]E(f822(f822(f97(f892(x33931,a882)),x33932),x33932),x33932)
% 218.59/218.71 [3421]E(f822(f822(f3(f892(x34211,a882)),x34212),x34212),f182(f892(x34211,a882)))
% 218.59/218.71 [3424]E(f822(f135(x34241,x34242),f2(a885)),f182(f892(f891(f887(x34241),f887(x34241)),a882)))
% 218.59/218.71 [3425]E(f822(f822(f79(a885),x34251),f822(a107,x34252)),f822(a107,f822(f822(f79(a885),x34251),x34252)))
% 218.59/218.71 [3437]E(f188(f822(f95(a1),x34371),f822(f95(a1),x34372)),f822(f95(a1),f822(f822(f3(a885),x34371),x34372)))
% 218.59/218.71 [3440]E(f822(f822(f35(a1),f822(f78(a1),x34401)),x34402),f822(f822(f35(a1),x34401),f822(f78(a1),x34402)))
% 218.59/218.71 [3444]E(f822(f34(a1),f822(f291(a1,x34441),x34442)),f822(a100,f822(f822(f3(a1),x34442),x34441)))
% 218.59/218.71 [3447]E(f822(f822(f79(a885),f822(a107,x34471)),x34472),f822(a107,f822(f822(f79(a885),x34471),x34472)))
% 218.59/218.71 [3450]E(f822(f78(f892(x34501,a882)),f822(f78(f892(x34501,a882)),x34502)),x34502)
% 218.59/218.71 [3463]E(f171(x34631,f822(f822(f143(f887(x34631)),f108(x34631)),x34632)),f171(x34631,x34632))
% 218.59/218.71 [3467]E(f822(f822(f79(a885),x34671),f822(f822(f80(a885),x34671),x34672)),f822(f822(f80(a885),x34671),f822(a107,x34672)))
% 218.59/218.71 [3474]E(f822(f822(a4,f822(a5,x34741)),f822(a5,x34742)),f822(a5,f822(f822(f3(a885),x34741),x34742)))
% 218.59/218.71 [3487]E(f822(f822(f80(a1),f822(f78(a1),x34871)),x34872),f822(f78(a1),f822(f822(f80(a1),x34871),x34872)))
% 218.59/218.71 [3489]E(f822(f822(f235(a1),f822(f95(a1),x34891)),x34892),f822(f95(a1),f822(f822(f235(a885),x34891),x34892)))
% 218.59/218.71 [3490]E(f822(f822(f79(a94),f822(a5,x34901)),f822(a5,x34902)),f822(a5,f822(f822(f79(a885),x34901),x34902)))
% 218.59/218.71 [3491]E(f822(f822(f80(a94),f822(a5,x34911)),f822(a5,x34912)),f822(a5,f822(f822(f80(a885),x34911),x34912)))
% 218.59/218.71 [3492]E(f822(f822(f230(a885),f822(a107,x34921)),f822(a107,x34922)),f822(a107,f822(f822(f230(a885),x34921),x34922)))
% 218.59/218.71 [3493]E(f822(f822(f181(a885),f822(a107,x34931)),f822(a107,x34932)),f822(a107,f822(f822(f181(a885),x34931),x34932)))
% 218.59/218.71 [3498]E(f822(f164(a885),f131(a885,f822(f291(a885,x34981),x34982))),f822(f291(a885,x34981),x34982))
% 218.59/218.71 [3499]E(f301(x34991,f822(f822(f298(x34991),x34992),f182(f892(x34991,a882)))),x34992)
% 218.59/218.71 [3503]E(f822(f273(x35031,x35032),f182(f892(f891(x35031,x35032),a882))),f182(f892(x35032,a882)))
% 218.59/218.71 [3504]E(f822(f255(x35041,x35042),f182(f892(f891(x35041,x35042),a882))),f182(f892(x35041,a882)))
% 218.59/218.71 [3508]E(f822(a100,f822(f822(f3(a1),x35081),x35082)),f822(f34(a1),f294(a1,x35082,x35081)))
% 218.59/218.71 [3513]E(f822(f822(f79(a885),x35131),f822(f822(f80(a885),x35132),x35131)),f822(f822(f80(a885),f822(a107,x35132)),x35131))
% 218.59/218.71 [3515]E(f822(f822(f59(x35151),f182(f892(x35151,a882))),x35152),f182(f892(f892(x35151,a882),a882)))
% 218.59/218.71 [3524]E(f822(f183(f887(a885)),f131(a885,f822(f291(a885,x35241),x35242))),f822(f822(f3(a885),x35242),x35241))
% 218.59/218.71 [3542]E(f822(f822(f96(f892(x35421,a882)),f182(f892(x35421,a882))),x35422),x35422)
% 218.59/218.71 [3543]E(f822(f822(f97(f892(x35431,a882)),f233(f892(x35431,a882))),x35432),x35432)
% 218.59/218.71 [3546]E(f822(f822(f79(a1),f822(f78(a1),x35461)),f822(f78(a1),x35462)),f822(f78(a1),f822(f822(f79(a1),x35461),x35462)))
% 218.59/218.71 [3549]E(f822(f822(f79(a1),f822(f95(a1),x35491)),f822(f95(a1),x35492)),f822(f95(a1),f822(f822(f79(a885),x35491),x35492)))
% 218.59/218.71 [3550]E(f822(f822(f79(a1),f822(f99(a1),x35501)),f822(f99(a1),x35502)),f822(f99(a1),f822(f822(f79(a1),x35501),x35502)))
% 218.59/218.71 [3552]E(f822(f822(f80(a1),f822(f95(a1),x35521)),f822(f95(a1),x35522)),f822(f95(a1),f822(f822(f80(a885),x35521),x35522)))
% 218.59/218.71 [3553]E(f822(f822(f80(a1),f822(f99(a1),x35531)),f822(f99(a1),x35532)),f822(f99(a1),f822(f822(f80(a1),x35531),x35532)))
% 218.59/218.71 [3554]E(f822(f822(f35(a1),f822(f95(a1),x35541)),f822(f95(a1),x35542)),f822(f95(a1),f822(f822(f35(a885),x35541),x35542)))
% 218.59/218.71 [3572]E(f822(f822(f8(x35721,a885),f822(f18(a885,x35721),f77(a885))),x35722),f822(f34(x35721),x35722))
% 218.59/218.71 [3578]E(f822(f78(a1),f44(a1,f822(f78(a1),x35781),x35782)),f44(a1,x35781,f822(f78(a1),x35782)))
% 218.59/218.71 [3580]E(f822(f164(a1),f170(x35801,f822(f822(f3(a1),x35802),f77(a1)))),f822(f291(a1,x35801),x35802))
% 218.59/218.71 [3584]P144(f822(f822(f226(a885),x35841),f822(f822(f79(a885),x35842),x35841)))
% 218.59/218.71 [3585]P144(f822(f822(f226(a885),x35851),f822(f822(f79(a885),x35851),x35852)))
% 218.59/218.71 [3588]E(f822(f822(f3(f892(x35881,a882)),f182(f892(x35881,a882))),x35882),f182(f892(x35881,a882)))
% 218.59/218.71 [3589]E(f822(f822(f96(f892(x35891,a882)),f233(f892(x35891,a882))),x35892),f233(f892(x35891,a882)))
% 218.59/218.71 [3590]E(f822(f822(f97(f892(x35901,a882)),f182(f892(x35901,a882))),x35902),f182(f892(x35901,a882)))
% 218.59/218.71 [3597]E(f822(f822(f243(a1,a1),x35971),f822(f78(a1),x35972)),f822(a50,f822(f822(f243(a1,a1),x35971),x35972)))
% 218.59/218.71 [3598]E(f822(f291(a1,f822(f822(f79(a1),x35981),f77(a1))),x35982),f295(a1,x35981,x35982))
% 218.59/218.71 [3609]E(f822(f822(f80(a885),x36091),f822(f822(f35(a885),x36092),x36091)),f822(f822(f3(a885),x36092),f44(a885,x36092,x36091)))
% 218.59/218.71 [3610]E(f822(f822(f80(a1),x36101),f822(f822(f35(a1),x36102),x36101)),f822(f822(f3(a1),x36102),f44(a1,x36102,x36101)))
% 218.59/218.71 [3613]E(f822(f164(a1),f170(f822(f822(f79(a1),x36131),f77(a1)),x36132)),f294(a1,x36131,x36132))
% 218.59/218.71 [3617]P144(f822(f822(f226(f892(x36171,a882)),x36172),x36172))
% 218.59/218.71 [3620]E(f822(f822(f96(f892(x36201,a882)),x36202),f822(f78(f892(x36201,a882)),x36202)),f233(f892(x36201,a882)))
% 218.59/218.71 [3621]E(f822(f822(f97(f892(x36211,a882)),x36212),f822(f78(f892(x36211,a882)),x36212)),f182(f892(x36211,a882)))
% 218.59/218.71 [3629]E(f822(f822(f3(a885),f822(f822(f3(a885),x36291),f77(a885))),x36292),f822(f822(f3(a885),x36291),f822(a107,x36292)))
% 218.59/218.71 [3634]E(f822(f822(f3(f892(x36341,a882)),f233(f892(x36341,a882))),x36342),f822(f78(f892(x36341,a882)),x36342))
% 218.59/218.71 [3635]E(f822(f822(f3(a1),f822(f99(a1),x36351)),f822(f99(a1),x36352)),f822(f99(a1),f822(f822(f79(a1),x36351),f822(f78(a1),x36352))))
% 218.59/218.71 [3648]E(f822(f164(a885),f131(a885,f822(f291(a885,x36481),f822(a107,x36482)))),f292(a885,x36481,x36482))
% 218.59/218.71 [3664]E(f822(f183(f887(f887(x36641))),f53(x36641,x36642)),f822(f822(f235(a885),f822(a107,f822(a107,f2(a885)))),f822(f183(f887(x36641)),x36642)))
% 218.59/218.71 [3683]E(f822(f822(f175(f891(x36831,x36831),a882),f2(a885)),x36832),f296(x36831,f182(f892(f891(x36831,x36831),a882))))
% 218.59/218.71 [3687]P144(f822(f129(a885),f131(a885,f822(f291(a885,x36871),x36872))))
% 218.59/218.71 [3703]E(f822(f299(a1,a885,a100),f292(a1,f822(f95(a1),x37031),f822(f95(a1),x37032))),f292(a885,x37031,x37032))
% 218.59/218.71 [3712]E(f177(a885,f2(a885),f7(a885),f822(f822(f3(a885),x37121),x37122)),f822(f822(f3(a885),x37121),f822(a107,x37122)))
% 218.59/218.71 [3713]E(f822(a100,f822(f822(f3(a1),x37131),f822(f822(f79(a1),x37132),f77(a1)))),f822(f34(a1),f295(a1,x37132,x37131)))
% 218.59/218.71 [3749]E(f822(f822(f146(a885,a885),a107),f131(a885,f822(f291(a885,x37491),x37492))),f131(a885,f822(f291(a885,f822(a107,x37491)),f822(a107,x37492))))
% 218.59/218.71 [3757]E(f822(f164(a1),f170(f822(f822(f79(a1),x37571),f77(a1)),f822(f822(f3(a1),x37572),f77(a1)))),f295(a1,x37571,x37572))
% 218.59/218.71 [3769]P144(f822(f822(f226(f892(x37691,a882)),f182(f892(x37691,a882))),x37692))
% 218.59/218.71 [3773]E(f84(x37731,f822(f822(f9(x37731,x37731,a882),a314),x37732)),x37732)
% 218.59/218.71 [3774]E(f89(x37741,f822(f822(f9(x37741,x37741,a882),a314),x37742)),x37742)
% 218.59/218.71 [3778]E(f822(f164(a885),f131(a885,f822(f291(a885,f822(a107,x37781)),f822(a107,x37782)))),f294(a885,x37781,x37782))
% 218.59/218.71 [3804]E(f822(f822(f245(x38041,x38042),f233(f892(x38041,a882))),f822(f18(f892(x38042,a882),x38041),f233(f892(x38042,a882)))),f233(f892(f891(x38041,x38042),a882)))
% 218.59/218.71 [3837]E(f822(f253(x38371),f822(f822(f10(a882,a882,x38371),a311),x38372)),f822(f78(f892(x38371,a882)),f822(f253(x38371),x38372)))
% 218.59/218.71 [3840]E(f822(f253(x38401),f822(f822(f9(x38401,x38401,a882),a314),x38402)),f822(f822(f298(x38401),x38402),f182(f892(x38401,a882))))
% 218.59/218.71 [3847]E(f822(f822(f79(a1),f822(f822(f79(a1),x38471),x38471)),f822(f822(f79(a1),x38472),x38472)),f822(f822(f79(a1),f822(f822(f79(a1),x38471),x38472)),f822(f822(f79(a1),x38471),x38472)))
% 218.59/218.71 [3848]E(f822(f822(f3(a1),f822(f822(f79(a1),x38481),x38481)),f822(f822(f79(a1),x38482),x38482)),f822(f822(f79(a1),f822(f822(f3(a1),x38481),x38482)),f822(f822(f3(a1),x38481),x38482)))
% 218.59/218.71 [3863]P144(f822(f822(f226(a885),f822(f34(x38631),f822(f164(x38631),x38632))),f822(f183(f887(x38631)),x38632)))
% 218.59/218.71 [3864]P144(f822(f822(f226(a885),f822(f183(f887(x38641)),f144(x38641,x38642))),f822(f183(f887(x38641)),x38642)))
% 218.59/218.71 [3875]E(f822(f253(x38751),f822(f822(f9(x38751,f892(x38751,a882),a882),f318(x38751)),x38752)),x38752)
% 218.59/218.71 [3889]E(f822(f822(f167(x38891),f822(f822(f3(a885),f822(f183(f887(x38891)),x38892)),f77(a885))),x38892),f109(x38891,x38892))
% 218.59/218.71 [3910]E(f177(a885,f2(a885),f822(f822(f10(a885,a885,a885),a107),f822(f230(a885),x39101)),x39102),f822(f822(f230(a885),f822(a107,x39101)),x39102))
% 218.59/218.71 [3915]E(f36(f892(x39151,a882),f822(f299(f892(f891(x39151,x39151),a882),f892(x39151,a882),f270(x39151)),x39152)),f822(f270(x39151),f36(f892(f891(x39151,x39151),a882),x39152)))
% 218.59/218.71 [3916]E(f177(a885,f822(a107,x39161),f822(f822(f10(a885,a885,a885),a107),f822(f181(a885),x39161)),x39162),f822(f822(f181(a885),f822(a107,x39161)),x39162))
% 218.59/218.71 [3918]E(f822(f822(f243(a1,a1),f822(f822(f35(a1),f822(f75(a1),x39181)),f822(f75(a1),x39182))),f44(a1,f822(f75(a1),x39181),f822(f75(a1),x39182))),f52(x39181,x39182))
% 218.59/218.71 [3940]P144(f822(f822(f226(f892(f892(x39401,a882),a882)),x39402),f822(f297(x39401),f36(f892(x39401,a882),x39402))))
% 218.59/218.71 [3972]E(f822(f822(f38(x39721,f892(x39721,a882)),x39722),f822(f822(f9(x39721,f892(x39721,a882),f892(x39721,a882)),f298(x39721)),f182(f892(x39721,a882)))),x39722)
% 218.59/218.71 [3973]E(f822(f822(f278(x39731,x39731,x39731),f822(f275(x39731,x39731),x39732)),f296(x39731,f822(f275(x39731,x39731),x39732))),f822(f275(x39731,x39731),f822(f822(f278(x39731,x39731,x39731),x39732),f296(x39731,x39732))))
% 218.59/218.71 [4033]E(f822(f164(x40331),f822(f134(f887(x40331),f887(x40331),f126(x40331),f108(x40331)),x40332)),f822(f822(f38(f887(x40331),f892(x40331,a882)),f822(f164(f887(x40331)),x40332)),f164(x40331)))
% 218.59/218.71 [4064]E(f822(f822(f96(f892(f891(x40641,x40641),a882)),f296(x40641,f182(f892(f891(x40641,x40641),a882)))),f822(f822(f278(x40641,x40641,x40641),f296(x40641,x40642)),x40642)),f296(x40641,x40642))
% 218.59/218.71 [4100]E(f822(f822(f173(x41001,x41001),x41002),x41002),f822(f822(f146(x41001,f891(x41001,x41001)),f822(f822(f20(x41001,x41001,f891(x41001,x41001)),f243(x41001,x41001)),f7(x41001))),x41002))
% 218.59/218.71 [4209]E(f822(f134(a885,f887(x42091),f822(f9(f887(x42091),a885,a885),f822(f822(f10(a885,f892(a885,a885),f887(x42091)),f181(a885)),f183(f887(x42091)))),f2(a885)),f822(f160(f887(x42091)),x42092)),f822(f183(f887(f887(x42091))),f171(x42091,x42092)))
% 218.59/218.71 [4281]E(f822(f822(f277(f891(a885,f887(x42811)),f887(x42811)),f308(a885,f887(x42811),a231,f137(x42811,x42812))),f822(f822(f20(f887(x42811),f887(x42811),f891(a885,f887(x42811))),f822(f822(f10(a885,f892(f887(x42811),f891(a885,f887(x42811))),f887(x42811)),f243(a885,f887(x42811))),f183(f887(x42811)))),f7(f887(x42811)))),f138(x42811,x42812))
% 218.59/218.71 [4407]E(f822(f253(x44071),f822(f822(f10(f892(f892(x44071,a882),a882),a882,x44071),f87(f892(x44071,a882))),f822(f822(f10(f892(f892(x44071,a882),a882),f892(f892(x44071,a882),a882),x44071),f822(f20(f892(x44071,a882),a882,a882),f822(f822(f10(a882,f892(a882,a882),f892(x44071,a882)),a319),f822(f822(f9(f892(x44071,a882),f892(f892(x44071,a882),a882),a882),f318(f892(x44071,a882))),x44072)))),f318(x44071)))),f37(f892(x44071,a882),x44072))
% 218.59/218.71 [4408]E(f822(f253(x44081),f822(f822(f10(f892(f892(x44081,a882),a882),a882,x44081),f86(f892(x44081,a882))),f822(f822(f10(f892(f892(x44081,a882),a882),f892(f892(x44081,a882),a882),x44081),f822(f20(f892(x44081,a882),a882,a882),f822(f822(f10(a882,f892(a882,a882),f892(x44081,a882)),a315),f822(f822(f9(f892(x44081,a882),f892(f892(x44081,a882),a882),a882),f318(f892(x44081,a882))),x44082)))),f318(x44081)))),f36(f892(x44081,a882),x44082))
% 218.59/218.71 [4537]~P144(f822(f822(f227(a1),f822(f95(a1),x45371)),f822(f78(a1),f822(f95(a1),x45372))))
% 218.59/218.71 [3511]E(f822(f822(f3(a885),f822(f822(f79(a885),x35111),x35112)),x35112),x35111)
% 218.59/218.71 [3512]E(f822(f822(f3(a885),f822(f822(f79(a885),x35121),x35122)),x35121),x35122)
% 218.59/218.71 [3579]E(f822(f822(f79(a885),f822(f822(f3(a885),x35791),x35792)),x35792),f822(f822(f181(a885),x35791),x35792))
% 218.59/218.71 [3690]E(f822(f822(f80(a885),f822(f822(f35(a885),x36901),x36902)),x36902),f822(f822(f3(a885),x36901),f44(a885,x36901,x36902)))
% 218.59/218.71 [3717]E(f822(f164(a885),f131(a885,f822(f291(a885,f822(a107,x37171)),x37172))),f295(a885,x37171,x37172))
% 218.59/218.71 [3725]E(f822(f95(a1),f210(f822(a100,f822(f75(a1),x37251)),f822(a100,f822(f75(a1),x37252)))),f822(f822(a211,x37251),x37252))
% 218.59/218.71 [3727]E(f822(f822(f96(f892(x37271,a882)),f822(f78(f892(x37271,a882)),x37272)),x37272),f233(f892(x37271,a882)))
% 218.59/218.71 [3728]E(f822(f822(f97(f892(x37281,a882)),f822(f78(f892(x37281,a882)),x37282)),x37282),f182(f892(x37281,a882)))
% 218.59/218.71 [3745]P144(f822(f822(f226(a885),f822(f822(f35(a885),x37451),x37452)),x37451))
% 218.59/218.71 [3746]P144(f822(f822(f226(a885),f822(f822(f3(a885),x37461),x37462)),x37461))
% 218.59/218.71 [3770]P144(f822(f822(f227(a885),x37701),f822(a107,f822(f822(f79(a885),x37702),x37701))))
% 218.59/218.71 [3771]P144(f822(f822(f227(a885),x37711),f822(a107,f822(f822(f79(a885),x37711),x37712))))
% 218.59/218.71 [3788]E(f822(f822(f80(a885),f822(a100,f822(f75(a1),x37881))),f822(a100,f822(f75(a1),x37882))),f822(a100,f822(f75(a1),f822(f822(f80(a1),x37881),x37882))))
% 218.59/218.71 [3800]P144(f822(f822(f226(a1),f2(a1)),f822(f822(f235(a1),f822(f75(a1),x38001)),x38002)))
% 218.59/218.71 [3868]E(f822(f274(f887(x38681),f887(x38681),f150(x38681,x38682)),f822(f822(f298(f887(x38681)),f108(x38681)),f182(f892(f887(x38681),a882)))),f822(f822(f298(f887(x38681)),f108(x38681)),f182(f892(f887(x38681),a882))))
% 218.59/218.71 [3887]E(f822(f822(f96(f892(f891(x38871,x38871),a882)),f296(x38871,x38872)),f296(x38871,f182(f892(f891(x38871,x38871),a882)))),f296(x38871,x38872))
% 218.59/218.71 [3900]E(f822(f822(f35(a1),f822(f99(a1),f822(f822(f79(a1),x39001),x39001))),f822(f99(a1),f822(f822(f79(a1),x39002),x39002))),f822(f822(f35(a1),f822(f99(a1),x39001)),f822(f99(a1),x39002)))
% 218.59/218.71 [3962]E(f822(f822(f235(a1),x39621),f822(f99(a885),f822(f822(f79(a1),x39622),x39622))),f822(f822(f85(a1,a1),f822(f822(f235(a1),x39621),f822(f99(a885),x39622))),f822(f822(f20(a1,a1,a1),f80(a1)),f7(a1))))
% 218.59/218.71 [3968]E(f822(f253(f892(x39681,a882)),f822(f822(f9(f892(x39681,a882),f892(x39681,a882),a882),f226(f892(x39681,a882))),x39682)),f822(f297(x39681),x39682))
% 218.59/218.71 [3982]E(f822(f822(f146(a1,a885),a100),f822(f822(f126(a1),f822(f822(f146(a885,a1),f95(a1)),x39821)),f822(f822(f146(a885,a1),f95(a1)),x39822))),f822(f822(f126(a885),x39821),x39822))
% 218.59/218.71 [4011]E(f822(f299(a1,a1,f822(f822(f9(a1,a1,a1),f79(a1)),x40111)),f822(f291(a1,f2(a1)),f822(f822(f3(a1),x40112),x40111))),f822(f291(a1,x40111),x40112))
% 218.59/218.71 [4013]P55(x40131,f822(f822(f3(f892(f891(x40131,x40131),a882)),x40132),f296(x40131,f182(f892(f891(x40131,x40131),a882)))))
% 218.59/218.71 [4031]E(f822(f183(f887(x40311)),f822(f134(f887(x40311),f887(x40311),f126(x40311),f108(x40311)),x40312)),f822(f157(a885),f822(f822(f146(f887(x40311),a885),f183(f887(x40311))),x40312)))
% 218.59/218.71 [4035]P54(x40351,f233(f892(x40351,a882)),f822(f822(f96(f892(f891(x40351,x40351),a882)),x40352),f296(x40351,f182(f892(f891(x40351,x40351),a882)))))
% 218.59/218.71 [4080]E(f177(a885,f2(a885),f822(f822(f10(a885,a885,a885),a107),f822(f822(f9(a885,a885,a885),f230(a885)),x40801)),x40802),f822(f822(f230(a885),x40802),f822(a107,x40801)))
% 218.59/218.71 [4083]E(f177(a885,f822(a107,x40831),f822(f822(f10(a885,a885,a885),a107),f822(f822(f9(a885,a885,a885),f181(a885)),x40831)),x40832),f822(f822(f181(a885),x40832),f822(a107,x40831)))
% 218.59/218.71 [4086]E(f822(f299(x40861,f887(x40861),f822(f822(f9(x40861,f887(x40861),f887(x40861)),f143(x40861)),f108(x40861))),x40862),f166(x40861,x40862,f822(f822(f298(f887(x40861)),f108(x40861)),f182(f892(f887(x40861),a882)))))
% 218.59/218.71 [4088]E(f822(f822(f96(f892(f891(x40881,x40881),a882)),f822(f822(f278(x40881,x40881,x40881),x40882),f296(x40881,x40882))),f296(x40881,f182(f892(f891(x40881,x40881),a882)))),f296(x40881,x40882))
% 218.59/218.71 [4095]P144(f822(f822(f226(f892(f891(x40951,x40951),a882)),f254(x40951,x40952)),f822(f822(f245(x40951,x40951),x40952),f822(f18(f892(x40951,a882),x40951),x40952))))
% 218.59/218.71 [4098]E(f822(f299(a1,a885,a100),f822(f822(f96(f892(a1,a882)),f822(f299(a885,a1,f95(a1)),x40981)),f822(f299(a885,a1,f95(a1)),x40982))),f822(f822(f96(f892(a885,a882)),x40981),x40982))
% 218.59/218.71 [4099]E(f822(f299(a1,a885,a100),f822(f822(f97(f892(a1,a882)),f822(f299(a885,a1,f95(a1)),x40991)),f822(f299(a885,a1,f95(a1)),x40992))),f822(f822(f97(f892(a885,a882)),x40991),x40992))
% 218.59/218.71 [4102]E(f822(f253(x41021),f822(f822(f10(a882,a882,x41021),a311),f822(f822(f9(x41021,f892(x41021,a882),a882),f318(x41021)),x41022))),f822(f78(f892(x41021,a882)),x41022))
% 218.59/218.71 [4129]E(f822(f134(f887(x41291),f887(x41291),f126(x41291),f108(x41291)),f822(f822(f146(f887(x41291),f887(x41291)),f160(x41291)),f822(f160(f887(x41291)),x41292))),f822(f160(x41291),f822(f134(f887(x41291),f887(x41291),f126(x41291),f108(x41291)),x41292)))
% 218.59/218.71 [4155]E(f822(f822(f38(a885,f892(f891(x41551,x41551),a882)),f233(f892(a885,a882))),f822(f822(f9(a885,f892(f891(x41551,x41551),a882),f892(f891(x41551,x41551),a882)),f175(f891(x41551,x41551),a882)),x41552)),f296(x41551,x41552))
% 218.59/218.71 [4173]E(f84(x41731,f822(f822(f10(f892(x41731,a882),a882,x41731),f822(a314,x41732)),f822(f822(f9(x41731,f892(x41731,a882),f892(x41731,a882)),f298(x41731)),f182(f892(x41731,a882))))),f301(x41731,x41732))
% 218.59/218.71 [4181]E(f822(f183(f887(x41811)),f144(x41811,f822(f134(f887(x41811),f887(x41811),f126(x41811),f108(x41811)),x41812))),f822(f34(x41811),f822(f822(f38(f887(x41811),f892(x41811,a882)),f822(f164(f887(x41811)),x41812)),f164(x41811))))
% 218.59/218.71 [4195]E(f822(f822(f96(f892(f891(x41951,x41951),a882)),x41952),f822(f822(f278(x41951,x41951,x41951),f822(f822(f278(x41951,x41951,x41951),x41952),f296(x41951,x41952))),x41952)),f822(f822(f278(x41951,x41951,x41951),x41952),f296(x41951,x41952)))
% 218.59/218.71 [4217]P144(f822(f822(f226(f892(f891(x42171,x42171),a882)),f822(f822(f278(x42171,x42171,x42171),x42172),f296(x42171,x42172))),f822(f822(f245(x42171,x42171),f822(f270(x42171),x42172)),f822(f18(f892(x42171,a882),x42171),f822(f270(x42171),x42172)))))
% 218.59/218.71 [4258]E(f822(f253(f887(x42581)),f822(f822(f9(f887(x42581),f892(x42581,a882),a882),f822(f822(f10(f892(x42581,a882),f892(f892(x42581,a882),a882),f887(x42581)),f226(f892(x42581,a882))),f164(x42581))),x42582)),f153(x42581,x42582))
% 218.59/218.71 [4269]E(f822(f148(f887(x42691),x42691,f108(x42691),f822(f822(f10(f887(x42691),f892(f887(x42691),f887(x42691)),x42691),f822(f9(f887(x42691),f887(x42691),f887(x42691)),f126(x42691))),f822(f822(f9(x42691,f887(x42691),f887(x42691)),f143(x42691)),f108(x42691)))),x42692),f822(f159(x42691),x42692))
% 218.59/218.71 [4309]P26(f892(x43091,x43092),f892(f891(x43091,x43092),a882),f822(f822(f10(f892(f891(x43091,x43092),a882),f892(f891(x43091,x43092),a882),f892(x43091,x43092)),f253(f891(x43091,x43092))),f822(f822(f10(f892(x43091,f892(x43092,a882)),f892(f891(x43091,x43092),a882),f892(x43091,x43092)),f248(x43091,x43092,a882)),f822(f10(x43092,f892(x43092,a882),x43091),f822(f9(x43092,x43092,a882),a314)))),f233(f892(f892(x43091,x43092),a882)))
% 218.59/218.71 [4314]E(f44(a1,f822(f99(a1),f822(f822(f79(a1),x43141),x43141)),f822(f99(a1),f822(f822(f79(a1),x43142),x43142))),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f44(a1,f822(f99(a1),x43141),f822(f99(a1),x43142))))
% 218.59/218.71 [4357]E(f822(f822(f38(x43571,f892(f891(x43571,x43571),a882)),x43572),f822(f822(f9(x43571,f892(f891(x43571,x43571),a882),f892(f891(x43571,x43571),a882)),f822(f822(f10(f891(x43571,x43571),f892(f892(f891(x43571,x43571),a882),f892(f891(x43571,x43571),a882)),x43571),f298(f891(x43571,x43571))),f822(f822(f20(x43571,x43571,f891(x43571,x43571)),f243(x43571,x43571)),f7(x43571)))),f182(f892(f891(x43571,x43571),a882)))),f254(x43571,x43572))
% 218.59/218.71 [4365]E(f196(x43651,f822(f822(f243(a1,a1),f822(f78(a1),f822(f822(f72(f891(a1,a1),a1,x43651,f242(a1,a1)),f206(x43651)),x43652))),f822(f822(f72(f891(a1,a1),a1,x43651,f247(a1,a1)),f206(x43651)),x43652))),f221(x43651,x43652))
% 218.59/218.71 [4446]E(f822(f253(f892(x44461,a882)),f822(f822(f10(f892(f892(x44461,a882),a882),a882,f892(x44461,a882)),f86(f892(x44461,a882))),f822(f822(f9(f892(x44461,a882),f892(f892(x44461,a882),a882),f892(f892(x44461,a882),a882)),f822(f822(f10(f892(f892(x44461,a882),f892(a882,a882)),f892(f892(f892(x44461,a882),a882),f892(f892(x44461,a882),a882)),f892(x44461,a882)),f20(f892(x44461,a882),a882,a882)),f822(f822(f10(f892(f892(x44461,a882),a882),f892(f892(x44461,a882),f892(a882,a882)),f892(x44461,a882)),f822(f10(a882,f892(a882,a882),f892(x44461,a882)),a315)),f822(f822(f9(f892(x44461,a882),f892(f892(x44461,a882),f892(x44461,a882)),f892(f892(x44461,a882),a882)),f822(f822(f10(f892(f892(x44461,a882),a882),f892(f892(f892(x44461,a882),f892(x44461,a882)),f892(f892(x44461,a882),a882)),f892(x44461,a882)),f10(f892(x44461,a882),a882,f892(x44461,a882))),a314)),f78(f892(x44461,a882)))))),f822(f822(f10(f892(f892(x44461,a882),a882),a882,f892(x44461,a882)),f822(f318(f892(x44461,a882)),x44462)),f297(x44461))))),f822(f297(x44461),f822(f78(f892(x44461,a882)),x44462)))
% 218.59/218.71 [4535]~E(f822(f822(f79(a1),x45351),x45351),f822(f822(f3(a1),f822(f822(f79(a1),x45352),x45352)),a92))
% 218.59/218.71 [4539]~P144(f822(f822(f227(a885),f822(f822(f79(a885),x45391),x45392)),x45392))
% 218.59/218.71 [4540]~P144(f822(f822(f227(a885),f822(f822(f79(a885),x45401),x45402)),x45401))
% 218.59/218.71 [3805]E(f822(f822(f3(a885),x38051),f822(f822(f80(a885),f822(f822(f35(a885),x38051),x38052)),x38052)),f44(a885,x38051,x38052))
% 218.59/218.71 [3806]E(f822(f822(f3(a1),x38061),f822(f822(f80(a1),f822(f822(f35(a1),x38061),x38062)),x38062)),f44(a1,x38061,x38062))
% 218.59/218.71 [3838]E(f822(f822(f146(a885,x38381),f822(f156(x38381),x38382)),f131(a885,f822(f291(a885,f2(a885)),f822(f183(f887(x38381)),x38382)))),x38382)
% 218.59/218.71 [3896]E(f822(f274(x38961,x38961,f296(x38961,f182(f892(f891(x38961,x38961),a882)))),x38962),x38962)
% 218.59/218.71 [4016]E(f296(x40161,f822(f822(f3(f892(f891(x40161,x40161),a882)),x40162),f296(x40161,f182(f892(f891(x40161,x40161),a882))))),f296(x40161,x40162))
% 218.59/218.71 [4017]E(f296(x40171,f822(f822(f96(f892(f891(x40171,x40171),a882)),x40172),f296(x40171,f182(f892(f891(x40171,x40171),a882))))),f296(x40171,x40172))
% 218.59/218.71 [4067]E(f822(f822(f3(a1),f822(f822(f3(a1),f822(f822(f79(a1),x40671),x40671)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),x40672),x40672)),a92)),f822(f822(f79(a1),f822(f822(f3(a1),x40671),x40672)),f822(f822(f3(a1),x40671),x40672)))
% 218.59/218.71 [4107]E(f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f79(a1),x41071),x41072)),f822(f822(f79(a1),x41071),x41072))),a92),f822(f822(f79(a1),f822(f822(f79(a1),x41071),x41071)),f822(f822(f3(a1),f822(f822(f79(a1),x41072),x41072)),a92)))
% 218.59/218.71 [4132]E(f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),x41321),x41321)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),x41322),x41322)),a92)),f822(f822(f79(a1),f822(f822(f79(a1),x41321),f822(f822(f3(a1),x41322),a92))),f822(f822(f79(a1),x41321),f822(f822(f3(a1),x41322),a92))))
% 218.59/218.71 [4143]E(f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f79(a1),x41431),x41432)),f822(f822(f79(a1),x41431),x41432))),a92),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),x41431),x41431)),a92)),f822(f822(f79(a1),x41432),x41432)))
% 218.59/218.71 [4144]E(f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),x41441),x41442)),f822(f822(f3(a1),x41441),x41442))),a92),f822(f822(f3(a1),f822(f822(f3(a1),f822(f822(f79(a1),x41441),x41441)),a92)),f822(f822(f79(a1),x41442),x41442)))
% 218.59/218.71 [4192]E(f822(f95(a1),f822(f822(f35(a885),f822(f822(f80(a885),f822(a100,f822(f75(a1),x41921))),f822(a100,f822(f75(a1),x41922)))),f210(f822(a100,f822(f75(a1),x41921)),f822(a100,f822(f75(a1),x41922))))),f212(x41921,x41922))
% 218.59/218.71 [4235]E(f822(f822(f250(f891(a94,a94),a94,f891(a94,a94),f891(x42351,f891(a94,a94))),f258(f822(a5,f822(f183(f887(x42351)),x42352)))),f822(f822(f10(x42351,f892(f891(a94,a94),f891(x42351,f891(a94,a94))),a94),f243(x42351,f891(a94,a94))),f822(f822(f10(a885,x42351,a94),f822(f156(x42351),x42352)),a22))),f264(x42351,x42352))
% 218.59/218.71 [4315]E(f822(f134(a885,f887(x43151),f822(f9(f887(x43151),a885,a885),f822(f822(f10(a885,f892(a885,a885),f887(x43151)),f181(a885)),f183(f887(x43151)))),f2(a885)),f822(f160(f887(x43151)),f171(x43151,x43152))),f822(f183(f887(f887(x43151))),f822(f128(f887(x43151),f822(f822(f10(a882,a882,f887(x43151)),a311),f822(f822(f9(f887(x43151),f887(x43151),a882),a314),f108(x43151)))),x43152)))
% 218.59/218.71 [4321]E(f822(f822(f38(a885,f892(x43211,a882)),f233(f892(a885,a882))),f822(f822(f9(a885,f892(a885,f892(x43211,a882)),f892(x43211,a882)),f822(f822(f10(f892(a885,a882),f892(f892(a885,f892(x43211,a882)),f892(x43211,a882)),a885),f38(a885,f892(x43211,a882))),f291(a885,f2(a885)))),x43212)),f822(f822(f38(a885,f892(x43211,a882)),f233(f892(a885,a882))),x43212))
% 218.59/218.71 [4342]P144(f822(f60(a885),f822(f253(a885),f822(f822(f20(a885,a882,a882),f822(f822(f10(a882,f892(a882,a882),a885),a315),x43421)),f822(f822(f9(a885,a885,a882),f227(a885)),x43422)))))
% 218.59/218.71 [4454]E(f822(f253(f891(f887(x44541),f887(x44541))),f822(f248(f887(x44541),f887(x44541),a882),f822(f822(f20(f887(x44541),f892(f887(x44541),a882),f892(f887(x44541),a882)),f822(f822(f10(f892(f887(x44541),f892(a882,a882)),f892(f892(f887(x44541),a882),f892(f887(x44541),a882)),f887(x44541)),f20(f887(x44541),a882,a882)),f822(f822(f10(f892(f887(x44541),a882),f892(f887(x44541),f892(a882,a882)),f887(x44541)),f822(f10(a882,f892(a882,a882),f887(x44541)),a316)),f822(f822(f9(f887(x44541),f892(f887(x44541),a885),f892(f887(x44541),a882)),f822(f822(f10(f892(a885,a882),f892(f892(f887(x44541),a885),f892(f887(x44541),a882)),f887(x44541)),f10(a885,a882,f887(x44541))),f822(f822(f10(a885,f892(a885,a882),f887(x44541)),f227(a885)),f183(f887(x44541))))),f183(f887(x44541)))))),f822(f822(f20(f887(x44541),f892(f887(x44541),a882),f892(f887(x44541),a882)),f822(f822(f10(f892(f887(x44541),f892(a882,a882)),f892(f892(f887(x44541),a882),f892(f887(x44541),a882)),f887(x44541)),f20(f887(x44541),a882,a882)),f822(f822(f10(f892(f887(x44541),a882),f892(f887(x44541),f892(a882,a882)),f887(x44541)),f822(f10(a882,f892(a882,a882),f887(x44541)),a315)),f822(f822(f9(f887(x44541),f892(f887(x44541),a885),f892(f887(x44541),a882)),f822(f822(f10(f892(a885,a882),f892(f892(f887(x44541),a885),f892(f887(x44541),a882)),f887(x44541)),f10(a885,a882,f887(x44541))),f822(f822(f10(a885,f892(a885,a882),f887(x44541)),a314),f183(f887(x44541))))),f183(f887(x44541)))))),f822(f822(f9(f887(x44541),f892(f891(f887(x44541),f887(x44541)),a882),f892(f887(x44541),a882)),f822(f822(f10(f892(f887(x44541),f892(f892(f891(f887(x44541),f887(x44541)),a882),a882)),f892(f892(f891(f887(x44541),f887(x44541)),a882),f892(f887(x44541),a882)),f887(x44541)),f9(f887(x44541),f892(f891(f887(x44541),f887(x44541)),a882),a882)),f822(f822(f10(f892(f887(x44541),f891(f887(x44541),f887(x44541))),f892(f887(x44541),f892(f892(f891(f887(x44541),f887(x44541)),a882),a882)),f887(x44541)),f822(f10(f891(f887(x44541),f887(x44541)),f892(f892(f891(f887(x44541),f887(x44541)),a882),a882),f887(x44541)),f318(f891(f887(x44541),f887(x44541))))),f243(f887(x44541),f887(x44541))))),f137(x44541,x44542)))))),f138(x44541,x44542))
% 218.59/218.71 [4135]E(f822(f822(f79(a1),f822(f822(f79(a1),f822(f822(f80(a1),x41351),x41352)),f822(f822(f80(a1),x41351),x41352))),x41352),f822(f822(f80(a1),f822(f822(f3(a1),f822(f822(f79(a1),x41351),x41351)),a92)),x41352))
% 218.59/218.71 [4234]E(f822(a100,f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x42341),x42342)),f182(f892(f891(a885,a885),a882)))))),f822(f822(f3(a885),x42341),x42342))
% 218.59/218.71 [4238]E(f822(f822(f278(x42381,x42381,x42381),f822(f822(f96(f892(f891(x42381,x42381),a882)),x42382),f296(x42381,f182(f892(f891(x42381,x42381),a882))))),f296(x42381,f822(f822(f96(f892(f891(x42381,x42381),a882)),x42382),f296(x42381,f182(f892(f891(x42381,x42381),a882)))))),f296(x42381,x42382))
% 218.59/218.71 [4275]E(f259(x42751,f822(f128(f891(a94,x42751),f822(f248(a94,x42751,a882),f822(f822(f10(a882,f892(x42751,a882),a94),f18(a882,x42751)),f822(f227(a94),f2(a94))))),x42752)),f259(x42751,x42752))
% 218.59/218.71 [4276]E(f257(x42761,f822(f128(f891(a94,x42761),f822(f248(a94,x42761,a882),f822(f822(f10(a882,f892(x42761,a882),a94),f18(a882,x42761)),f822(f227(a94),f2(a94))))),x42762)),f257(x42761,x42762))
% 218.59/218.71 [4278]E(f822(f78(a1),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x42781),x42782)),f182(f892(f891(a885,a885),a882)))))),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x42782),x42781)),f182(f892(f891(a885,a885),a882))))))
% 218.59/218.71 [4334]E(f822(f822(f277(f887(a885),x43341),f137(a885,a231)),f822(f822(f9(x43341,f887(f892(x43341,a885)),f887(a885)),f822(f822(f10(f892(f892(x43341,a885),a885),f892(f887(f892(x43341,a885)),f887(a885)),x43341),f146(f892(x43341,a885),a885)),f822(f9(f892(x43341,a885),x43341,a885),f7(f892(x43341,a885))))),x43342)),f145(x43341,x43342))
% 218.59/218.71 [4354]E(f822(f822(f85(a1,a885),f822(f99(a1),f822(f822(f79(a1),x43541),a92))),f822(f822(f20(a1,a885,a885),f822(f822(f9(a1,a885,f892(a885,a885)),f822(f822(f10(a882,f892(a885,f892(a885,a885)),a1),f90(a885)),a187)),f2(a885))),f822(f822(f10(a885,a885,a1),a107),f822(f822(f10(a885,a885,a1),f822(f230(a885),x43542)),a100)))),f822(f822(f230(a885),f822(a107,x43542)),f822(f99(a885),x43541)))
% 218.59/218.71 [4355]E(f822(f822(f85(a1,a885),f822(f99(a1),f822(f822(f79(a1),x43551),a92))),f822(f822(f20(a1,a885,a885),f822(f822(f9(a1,a885,f892(a885,a885)),f822(f822(f10(a882,f892(a885,f892(a885,a885)),a1),f90(a885)),a187)),f822(a107,x43552))),f822(f822(f10(a885,a885,a1),a107),f822(f822(f10(a885,a885,a1),f822(f181(a885),x43552)),a100)))),f822(f822(f181(a885),f822(a107,x43552)),f822(f99(a885),x43551)))
% 218.59/218.71 [4375]E(f822(f134(f887(x43751),f887(x43751),f126(x43751),f108(x43751)),f822(f822(f146(f887(x43751),f887(x43751)),f148(f887(x43751),x43751,f108(x43751),f822(f822(f10(f887(x43751),f892(f887(x43751),f887(x43751)),x43751),f18(f887(x43751),f887(x43751))),f822(f822(f9(x43751,f887(x43751),f887(x43751)),f143(x43751)),f108(x43751))))),x43752)),f822(f822(f146(f887(x43751),x43751),f133(x43751)),f822(f128(f887(x43751),f822(f822(f10(a882,a882,f887(x43751)),a311),f822(f822(f9(f887(x43751),f887(x43751),a882),a314),f108(x43751)))),x43752)))
% 218.59/218.71 [4437]E(f822(f248(a1,a1,a882),f822(f822(f9(a1,f892(a1,a882),f892(a1,a882)),f822(f822(f10(f892(a1,f892(a882,a882)),f892(f892(a1,a882),f892(a1,a882)),a1),f20(a1,a882,a882)),f822(f822(f10(f892(a1,a882),f892(a1,f892(a882,a882)),a1),f822(f10(a882,f892(a882,a882),a1),a315)),f822(f822(f10(f892(a1,a1),f892(a1,a882),a1),f822(f10(a1,a882,a1),f822(a314,x44371))),f822(f822(f10(a1,f892(a1,a1),a1),f79(a1)),f822(f80(a1),x44372)))))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f822(f10(a882,a882,a1),f822(a319,f822(f822(f227(a1),f2(a1)),x44372))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f226(a1),f2(a1)))),f822(f822(f9(a1,a1,a882),f227(a1)),x44372))))),f822(f822(f10(a882,a882,a1),f822(a319,f822(a311,f822(f822(f227(a1),f2(a1)),x44372)))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f227(a1),x44372))),f822(f822(f9(a1,a1,a882),f226(a1)),f2(a1))))))),f48(x44371,x44372))
% 218.59/218.71 [4440]E(f822(f253(x44401),f822(f822(f10(f892(a885,a882),a882,x44401),f86(a885)),f822(f822(f9(x44401,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),x44401),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),x44401),f822(f10(a882,f892(a882,a882),a885),a315)),f822(f822(f9(x44401,f892(a885,x44401),f892(a885,a882)),f822(f822(f10(f892(x44401,a882),f892(f892(a885,x44401),f892(a885,a882)),x44401),f10(x44401,a882,a885)),a314)),f822(f156(x44401),x44402))))),f822(f822(f9(a885,a885,a882),f227(a885)),f822(f183(f887(x44401)),x44402))))),f822(f164(x44401),x44402))
% 218.59/218.71 [4248]E(f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),x42481),a92)),x42482)),f822(f822(f3(a1),f822(f822(f79(a1),x42481),a92)),x42482))),a92),f822(f822(f3(a1),f822(f822(f79(a1),x42481),x42481)),f822(f822(f3(a1),f822(f822(f79(a1),x42482),x42482)),a92)))
% 218.59/218.71 [4370]E(f822(f134(f887(f887(x43701)),f887(f887(x43701)),f126(f887(x43701)),f108(f887(x43701))),f822(f822(f146(f887(x43701),f887(f887(x43701))),f148(f887(f887(x43701)),x43701,f108(f887(x43701)),f822(f18(f892(f887(x43701),f887(f887(x43701))),x43701),f822(f822(f9(f887(x43701),f887(f887(x43701)),f887(f887(x43701))),f143(f887(x43701))),f108(f887(x43701)))))),x43702)),f822(f822(f146(f887(x43701),f887(x43701)),f163(x43701)),f822(f128(f887(x43701),f822(f822(f10(a882,a882,f887(x43701)),a311),f822(f822(f9(f887(x43701),f887(x43701),a882),a314),f108(x43701)))),x43702)))
% 218.59/218.71 [4380]E(f822(f822(f85(a1,a885),f822(f99(a1),f822(f822(f79(a1),x43801),a92))),f822(f822(f20(a1,a885,a885),f822(f822(f9(a1,a885,f892(a885,a885)),f822(f822(f10(a882,f892(a885,f892(a885,a885)),a1),f90(a885)),a187)),f2(a885))),f822(f822(f10(a885,a885,a1),a107),f822(f822(f9(a1,a885,a885),f822(f822(f10(a885,f892(a885,a885),a1),f230(a885)),a100)),x43802)))),f822(f822(f230(a885),f822(f99(a885),x43801)),f822(a107,x43802)))
% 218.59/218.71 [4381]E(f822(f822(f85(a1,a885),f822(f99(a1),f822(f822(f79(a1),x43811),a92))),f822(f822(f20(a1,a885,a885),f822(f822(f9(a1,a885,f892(a885,a885)),f822(f822(f10(a882,f892(a885,f892(a885,a885)),a1),f90(a885)),a187)),f822(a107,x43812))),f822(f822(f10(a885,a885,a1),a107),f822(f822(f9(a1,a885,a885),f822(f822(f10(a885,f892(a885,a885),a1),f181(a885)),a100)),x43812)))),f822(f822(f181(a885),f822(f99(a885),x43811)),f822(a107,x43812)))
% 218.59/218.71 [4369]E(f822(f248(x43691,x43691,a882),f822(f822(f20(x43691,a882,f892(x43691,a882)),f822(f822(f10(f892(x43691,f892(a882,a882)),f892(a882,f892(x43691,a882)),x43691),f9(x43691,a882,a882)),f822(f822(f10(f892(x43691,a882),f892(x43691,f892(a882,a882)),x43691),f822(f10(a882,f892(a882,a882),x43691),a315)),a314))),x43692)),f254(x43691,x43692))
% 218.59/218.71 [4414]E(f822(f822(f35(a885),x44141),f822(f822(f79(a885),f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),a92))),x44142)),f822(f822(f35(a885),x44141),f822(a107,f822(a107,f822(a107,x44142)))))
% 218.59/218.71 [4415]E(f44(a885,x44151,f822(f822(f79(a885),f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),a92))),x44152)),f44(a885,x44151,f822(a107,f822(a107,f822(a107,x44152)))))
% 218.59/218.71 [4416]E(f44(a885,f822(f822(f79(a885),f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),a92))),x44161),x44162),f44(a885,f822(a107,f822(a107,f822(a107,x44161))),x44162))
% 218.59/218.71 [4428]E(f117(f822(x44281,f822(f822(f80(a94),f822(f99(a94),f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),a92))),x44282))),f822(f194(x44281),x44282))
% 218.59/218.71 [4429]E(f822(f822(f35(a885),f822(f822(f79(a885),f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),a92))),x44291)),x44292),f822(f822(f35(a885),f822(a107,f822(a107,f822(a107,x44291)))),x44292))
% 218.59/218.71 [4487]~E(f27(x44871,x44872,x44873),a25)
% 218.59/218.71 [4488]~E(f26(x44881,x44882,x44883),a25)
% 218.59/218.71 [4492]~E(f120(x44921,x44922,x44923),f114(x44921))
% 218.59/218.71 [3240]E(f822(f186(x32401,x32402),x32403),f115(x32401,x32402))
% 218.59/218.71 [3259]E(f822(f193(x32591,x32592),x32593),f822(f122(x32591),x32592))
% 218.59/218.71 [3335]E(f822(f822(f146(x33351,x33352),x33353),f108(x33351)),f108(x33352))
% 218.59/218.71 [3375]E(f822(f176(x33751,x33752,x33753),f2(a885)),x33752)
% 218.59/218.71 [3377]E(f822(f822(f173(x33771,x33772),x33773),f108(x33772)),f108(f891(x33771,x33772)))
% 218.59/218.71 [3390]E(f822(f183(f887(x33901)),f161(x33901,x33902,x33903)),x33902)
% 218.59/218.71 [3409]E(f84(x34091,f61(x34091,x34092,x34093)),f822(f62(x34091,x34092),x34093))
% 218.59/218.71 [3413]E(f234(x34131,x34132,f234(x34132,x34131,x34133)),x34133)
% 218.59/218.71 [3433]E(f822(f160(x34331),f161(x34331,x34332,x34333)),f161(x34331,x34332,x34333))
% 218.59/218.71 [3460]E(f132(x34601,x34602,f144(x34601,x34603)),f144(x34601,f132(x34601,x34602,x34603)))
% 218.59/218.71 [3478]E(f822(f242(f887(x34781),f887(x34781)),f158(x34781,x34782,x34783)),f822(f128(x34781,x34782),x34783))
% 218.59/218.71 [3520]E(f822(f822(f143(x35201),x35202),f161(x35201,x35203,x35202)),f161(x35201,f822(a107,x35203),x35202))
% 218.59/218.71 [3555]E(f177(x35551,x35552,x35553,f2(a885)),x35552)
% 218.59/218.71 [3556]E(f19(x35561,x35562,x35563,f2(a94)),x35562)
% 218.59/218.71 [3557]E(f21(x35571,x35572,x35573,f2(a94)),x35572)
% 218.59/218.71 [3564]E(f155(x35641,x35642,x35643,f108(x35641)),f108(x35642))
% 218.59/218.71 [3570]E(f822(f822(f156(x35701),f822(f822(f143(x35701),x35702),x35703)),f2(a885)),x35702)
% 218.59/218.71 [3599]E(f58(x35991,x35992,f108(x35991),x35993),f108(f891(x35991,x35992)))
% 218.59/218.71 [3619]P26(x36191,x36192,x36193,f182(f892(x36191,a882)))
% 218.59/218.71 [3721]E(f256(x37211,x37212,x37213),f822(f243(f892(a94,f892(a882,f889(f886(x37211)))),f891(a94,a94)),f40(x37211)))
% 218.59/218.71 [3779]E(f822(f72(x37791,x37792,x37791,x37793),f31(x37791)),x37793)
% 218.59/218.71 [3954]P144(f822(f822(f318(f891(x39541,x39541)),f822(f822(f243(x39541,x39541),x39542),x39542)),f296(x39541,x39543)))
% 218.59/218.71 [4544]~P144(f822(f822(f318(f891(f887(x45441),f887(x45441))),f822(f822(f243(f887(x45441),f887(x45441)),x45442),f108(x45441))),f137(x45441,x45443)))
% 218.59/218.71 [4545]~P144(f822(f822(f318(f891(f887(x45451),f887(x45451))),f822(f822(f243(f887(x45451),f887(x45451)),x45452),f108(x45451))),f139(x45451,x45453)))
% 218.59/218.71 [4546]~P144(f822(f822(f318(f891(f887(x45461),f887(x45461))),f822(f822(f243(f887(x45461),f887(x45461)),x45462),f108(x45461))),f149(x45461,x45463)))
% 218.59/218.71 [4547]~P144(f822(f822(f318(f891(f887(x45471),f887(x45471))),f822(f822(f243(f887(x45471),f887(x45471)),f108(x45471)),x45472)),f137(x45471,x45473)))
% 218.59/218.71 [4548]~P144(f822(f822(f318(f891(f887(x45481),f887(x45481))),f822(f822(f243(f887(x45481),f887(x45481)),f108(x45481)),x45482)),f149(x45481,x45483)))
% 218.59/218.71 [3310]E(f822(f822(f195(x33101),x33102),x33103),f196(x33101,f209(x33102,x33103)))
% 218.59/218.71 [3364]E(f822(f275(x33641,x33642),f822(f275(x33642,x33641),x33643)),x33643)
% 218.59/218.71 [3385]E(f822(f822(f173(x33851,x33852),f108(x33851)),x33853),f108(f891(x33851,x33852)))
% 218.59/218.71 [3388]E(f168(x33881,x33882,f822(f271(a885),x33883)),f822(f822(f167(x33881),x33883),x33882))
% 218.59/218.71 [3406]E(f144(x34061,f822(f128(x34061,x34062),x34063)),f822(f128(x34061,x34062),f144(x34061,x34063)))
% 218.59/218.71 [3407]E(f822(f273(x34071,x34072),f822(f275(x34072,x34071),x34073)),f822(f255(x34072,x34071),x34073))
% 218.59/218.71 [3408]E(f822(f255(x34081,x34082),f822(f275(x34082,x34081),x34083)),f822(f273(x34082,x34081),x34083))
% 218.59/218.71 [3426]E(f822(f128(x34261,x34262),f822(f160(x34261),x34263)),f822(f160(x34261),f822(f128(x34261,x34262),x34263)))
% 218.59/218.71 [3439]E(f822(f822(f130(x34391),x34392),f822(f163(x34391),x34393)),f822(f822(f130(x34391),f822(a107,x34392)),x34393))
% 218.59/218.71 [3455]E(f28(f26(x34551,x34552,x34553)),f822(f822(f79(a885),f28(x34553)),f822(a107,f2(a885))))
% 218.59/218.71 [3456]E(f822(f299(x34561,x34562,x34563),f182(f892(x34561,a882))),f182(f892(x34562,a882)))
% 218.59/218.71 [3457]E(f822(f274(x34571,x34572,x34573),f182(f892(x34571,a882))),f182(f892(x34572,a882)))
% 218.59/218.71 [3458]E(f822(f300(x34581,x34582,x34583),f233(f892(x34582,a882))),f233(f892(x34581,a882)))
% 218.59/218.71 [3459]E(f822(f300(x34591,x34592,x34593),f182(f892(x34592,a882))),f182(f892(x34591,a882)))
% 218.59/218.71 [3485]E(f822(f822(f298(x34851),x34852),f822(f164(x34851),x34853)),f822(f164(x34851),f132(x34851,x34852,x34853)))
% 218.59/218.71 [3574]E(f822(f183(a883),f26(x35741,x35742,x35743)),f822(f822(f79(a885),f822(f183(a883),x35743)),f822(a107,f2(a885))))
% 218.59/218.71 [3575]E(f822(f299(f891(x35751,x35752),x35752,f247(x35751,x35752)),x35753),f822(f273(x35751,x35752),x35753))
% 218.59/218.71 [3576]E(f822(f299(f891(x35761,x35762),x35761,f242(x35761,x35762)),x35763),f822(f255(x35761,x35762),x35763))
% 218.59/218.71 [3591]E(f822(f164(x35911),f161(x35911,f822(a107,x35912),x35913)),f822(f822(f298(x35911),x35913),f182(f892(x35911,a882))))
% 218.59/218.71 [3647]E(f822(f822(f243(x36471,x36472),f822(f242(x36471,x36472),x36473)),f822(f247(x36471,x36472),x36473)),x36473)
% 218.59/218.71 [3654]E(f822(f183(f886(x36541)),f120(x36541,x36542,x36543)),f822(f822(f79(a885),f822(f183(f886(x36541)),x36543)),f822(a107,f2(a885))))
% 218.59/218.71 [3656]E(f822(f822(f248(x36561,x36562,x36561),f18(x36561,x36562)),x36563),f822(f242(x36561,x36562),x36563))
% 218.59/218.71 [3734]E(f28(f27(x37341,x37342,x37343)),f822(f822(f79(a885),f822(f822(f79(a885),f28(x37342)),f28(x37343))),f822(a107,f2(a885))))
% 218.59/218.71 [3784]E(f822(f72(x37841,x37841,x37842,f31(x37841)),x37843),x37843)
% 218.59/218.71 [3791]E(f822(f822(f126(x37911),f161(x37911,x37912,x37913)),f822(f822(f143(x37911),x37913),f108(x37911))),f822(f822(f143(x37911),x37913),f161(x37911,x37912,x37913)))
% 218.59/218.71 [3890]E(f822(f183(a883),f27(x38901,x38902,x38903)),f822(f822(f79(a885),f822(f822(f79(a885),f822(f183(a883),x38902)),f822(f183(a883),x38903))),f822(a107,f2(a885))))
% 218.59/218.71 [3963]P144(f822(f822(f226(f892(x39631,a882)),f822(f164(x39631),f822(f128(x39631,x39632),x39633))),f822(f164(x39631),x39633)))
% 218.59/218.71 [4002]P144(f822(f822(f226(f892(x40021,a882)),f822(f164(x40021),f822(f822(f167(x40021),x40022),x40023))),f822(f164(x40021),x40023)))
% 218.59/218.71 [4003]P144(f822(f822(f226(f892(x40031,a882)),f822(f164(x40031),f822(f822(f130(x40031),x40032),x40033))),f822(f164(x40031),x40033)))
% 218.59/218.71 [4007]P144(f822(f822(f226(f892(x40071,a882)),f822(f164(x40071),f168(x40071,x40072,x40073))),f822(f164(x40071),x40072)))
% 218.59/218.71 [4008]P144(f822(f822(f226(f892(x40081,a882)),f822(f164(x40081),f162(x40081,x40082,x40083))),f822(f164(x40081),x40083)))
% 218.59/218.71 [4029]P26(f891(x40291,x40292),f891(x40292,x40291),f822(f248(x40291,x40292,f891(x40292,x40291)),f822(f9(x40292,x40291,f891(x40292,x40291)),f243(x40292,x40291))),x40293)
% 218.59/218.71 [4040]E(f822(f822(f822(f175(f887(x40401),f887(x40401)),f44(a885,x40402,f822(f183(f887(x40401)),x40403))),f159(x40401)),x40403),f822(f822(f822(f175(f887(x40401),f887(x40401)),x40402),f159(x40401)),x40403))
% 218.59/218.71 [4084]P144(f822(f822(f318(f891(f887(x40841),f887(x40841))),f822(f822(f243(f887(x40841),f887(x40841)),x40842),x40842)),f150(x40841,f296(x40841,x40843))))
% 218.59/218.71 [4221]E(f84(f891(x42211,x42212),f822(f822(f20(f891(x42211,x42212),x42212,a882),f822(f822(f10(x42211,f892(x42212,a882),f891(x42211,x42212)),x42213),f242(x42211,x42212))),f247(x42211,x42212))),f84(f891(x42211,x42212),f822(f248(x42211,x42212,a882),x42213)))
% 218.59/218.71 [4222]E(f89(f891(x42221,x42222),f822(f822(f20(f891(x42221,x42222),x42222,a882),f822(f822(f10(x42221,f892(x42222,a882),f891(x42221,x42222)),x42223),f242(x42221,x42222))),f247(x42221,x42222))),f89(f891(x42221,x42222),f822(f248(x42221,x42222,a882),x42223)))
% 218.59/218.71 [4255]E(f822(f822(f277(f891(a885,x42551),x42551),f308(a885,x42551,a231,x42552)),f822(f822(f20(x42551,x42551,f891(a885,x42551)),f822(f822(f10(a885,f892(x42551,f891(a885,x42551)),x42551),f243(a885,x42551)),x42553)),f7(x42551))),f310(x42551,x42553,x42552))
% 218.59/218.71 [4317]E(f822(f249(x43171,x43171,x43172,x43172,f7(x43171),f7(x43172)),x43173),x43173)
% 218.59/218.71 [4389]E(f822(f134(f887(f887(x43891)),f887(f887(x43891)),f126(f887(x43891)),f108(f887(x43891))),f822(f822(f146(f887(x43891),f887(f887(x43891))),f822(f822(f9(f887(x43891),f887(x43891),f887(f887(x43891))),f822(f822(f10(f892(x43891,f887(x43891)),f892(f887(x43891),f887(f887(x43891))),f887(x43891)),f146(x43891,f887(x43891))),f822(f9(x43891,f887(x43891),f887(x43891)),f143(x43891)))),x43892)),f54(x43891,x43893,x43892))),f54(x43891,f822(a107,x43893),x43892))
% 218.59/218.71 [4445]E(f217(a885,f891(x44451,f886(x44451)),f2(a885),f822(f248(x44451,f886(x44451),a885),f822(f822(f9(x44451,a885,f892(f886(x44451),a885)),f822(f822(f10(f892(f886(x44451),f892(a885,a885)),f892(a885,f892(f886(x44451),a885)),x44451),f9(f886(x44451),a885,a885)),f822(f822(f10(f892(f886(x44451),a885),f892(f886(x44451),f892(a885,a885)),x44451),f822(f10(a885,f892(a885,a885),f886(x44451)),f79(a885))),f822(f822(f9(x44451,f892(f886(x44451),a885),f892(f886(x44451),a885)),f822(f822(f10(f892(a885,a885),f892(f892(f886(x44451),a885),f892(f886(x44451),a885)),x44451),f10(a885,a885,f886(x44451))),f822(f822(f10(a885,f892(a885,a885),x44451),f79(a885)),x44452))),f119(x44451,x44452))))),f77(a885))),f822(f127(x44451),x44453)),f822(f119(x44451,x44452),x44453))
% 218.59/218.71 [4453]E(f822(f822(f85(a1,x44531),f212(f822(f822(f72(f891(a1,a1),a1,x44531,f247(a1,a1)),f206(x44531)),x44532),f822(f822(f72(f891(a1,a1),a1,x44531,f247(a1,a1)),f206(x44531)),x44533))),f822(f822(f20(a1,a1,x44531),f822(f822(f10(a1,f892(a1,x44531),a1),f195(x44531)),f822(f822(f20(a1,a1,a1),f822(f822(f10(a1,f892(a1,a1),a1),f79(a1)),f822(f822(f10(a1,a1,a1),f822(f80(a1),f822(f822(f72(f891(a1,a1),a1,x44531,f242(a1,a1)),f206(x44531)),x44532))),f822(f822(f9(a1,a1,a1),f35(a1)),f822(f822(f72(f891(a1,a1),a1,x44531,f247(a1,a1)),f206(x44531)),x44532))))),f822(f822(f10(a1,a1,a1),f822(f80(a1),f822(f822(f72(f891(a1,a1),a1,x44531,f242(a1,a1)),f206(x44531)),x44533))),f822(f822(f9(a1,a1,a1),f35(a1)),f822(f822(f72(f891(a1,a1),a1,x44531,f247(a1,a1)),f206(x44531)),x44533)))))),f7(a1))),f224(x44531,x44532,x44533))
% 218.59/218.71 [4483]~E(f822(f822(f143(x44831),x44832),x44833),x44833)
% 218.59/218.71 [4490]~E(f822(f822(f143(x44901),x44902),x44903),f108(x44901))
% 218.59/218.71 [4504]~E(f822(f822(f298(x45041),x45042),x45043),f182(f892(x45041,a882)))
% 218.59/218.71 [4526]~E(f822(f299(x45261,f892(x45261,a882),x45262),x45263),f822(f297(x45261),x45263))
% 218.59/218.71 [3369]E(f822(f822(f151(x33691,f108(x33691)),x33692),x33693),f108(x33691))
% 218.59/218.71 [3370]E(f822(f133(x33701),f822(f822(f143(x33701),x33702),x33703)),x33702)
% 218.59/218.71 [3371]E(f822(f163(x33711),f822(f822(f143(x33711),x33712),x33713)),x33713)
% 218.59/218.71 [3412]E(f822(f822(f130(x34121),f77(a885)),f822(f822(f143(x34121),x34122),x34123)),x34123)
% 218.59/218.71 [3446]E(f109(x34461,f822(f822(f130(x34461),x34462),x34463)),f822(f822(f130(x34461),x34462),f109(x34461,x34463)))
% 218.59/218.71 [3448]E(f822(f822(f151(x34481,x34482),x34483),f822(f822(f156(x34481),x34482),x34483)),x34482)
% 218.59/218.71 [3469]E(f822(f822(f298(x34691),x34692),f822(f822(f298(x34691),x34692),x34693)),f822(f822(f298(x34691),x34692),x34693))
% 218.59/218.71 [3481]E(f822(f822(f298(x34811),x34812),f822(f164(x34811),x34813)),f822(f164(x34811),f822(f822(f143(x34811),x34812),x34813)))
% 218.59/218.71 [3483]E(f822(f822(f130(x34831),x34832),f822(f163(x34831),x34833)),f822(f163(x34831),f822(f822(f130(x34831),x34832),x34833)))
% 218.59/218.71 [3494]E(f822(f822(f167(x34941),f77(a885)),f822(f822(f143(x34941),x34942),x34943)),f822(f822(f143(x34941),x34942),f108(x34941)))
% 218.59/218.71 [3540]E(f822(f62(x35401,x35402),f822(f822(f298(x35401),x35403),f182(f892(x35401,a882)))),x35403)
% 218.59/218.71 [3581]E(f822(f822(f79(a885),x35811),f822(f822(f79(a885),x35812),x35813)),f822(f822(f79(a885),x35812),f822(f822(f79(a885),x35811),x35813)))
% 218.59/218.71 [3582]E(f822(f822(f79(a1),x35821),f822(f822(f79(a1),x35822),x35823)),f822(f822(f79(a1),x35822),f822(f822(f79(a1),x35821),x35823)))
% 218.59/218.71 [3587]E(f822(f822(f245(x35871,x35872),f182(f892(x35871,a882))),x35873),f182(f892(f891(x35871,x35872),a882)))
% 218.59/218.71 [3611]E(f822(f822(f96(f892(x36111,a882)),x36112),x36113),f822(f822(f96(f892(x36111,a882)),x36113),x36112))
% 218.59/218.71 [3612]E(f822(f822(f97(f892(x36121,a882)),x36122),x36123),f822(f822(f97(f892(x36121,a882)),x36123),x36122))
% 218.59/218.71 [3614]E(f822(f822(f126(x36141),x36142),f822(f822(f143(x36141),x36143),f108(x36141))),f822(f159(x36141),f822(f822(f143(x36141),x36143),x36142)))
% 218.59/218.71 [3615]E(f822(f822(f126(x36151),f822(f160(x36151),x36152)),f822(f160(x36151),x36153)),f822(f160(x36151),f822(f822(f126(x36151),x36153),x36152)))
% 218.59/218.71 [3625]E(f822(f163(x36251),f822(f822(f167(x36251),f822(a107,x36252)),x36253)),f822(f822(f167(x36251),x36252),f822(f163(x36251),x36253)))
% 218.59/218.71 [3632]P144(f822(f822(f318(x36321),x36322),f822(f822(f298(x36321),x36322),x36323)))
% 218.59/218.71 [3636]E(f822(f822(f39(x36361,f892(x36362,a882)),f182(f892(x36361,a882))),x36363),f233(f892(x36362,a882)))
% 218.59/218.71 [3639]E(f822(f274(x36391,x36391,f254(x36391,x36392)),x36393),f822(f822(f97(f892(x36391,a882)),x36392),x36393))
% 218.59/218.71 [3653]E(f822(f183(f887(x36531)),f822(f822(f143(x36531),x36532),x36533)),f822(f822(f79(a885),f822(f183(f887(x36531)),x36533)),f822(a107,f2(a885))))
% 218.59/218.71 [3658]E(f136(x36581,f822(f822(f126(x36581),x36582),f822(f822(f143(x36581),x36583),f108(x36581)))),x36583)
% 218.59/218.71 [3659]E(f109(x36591,f822(f822(f126(x36591),x36592),f822(f822(f143(x36591),x36593),f108(x36591)))),x36592)
% 218.59/218.71 [3668]E(f822(f822(f126(x36681),f822(f822(f167(x36681),x36682),x36683)),f822(f822(f130(x36681),x36682),x36683)),x36683)
% 218.59/218.71 [3677]E(f822(f822(f3(a885),f822(f822(f79(a885),x36771),x36772)),f822(f822(f79(a885),x36773),x36772)),f822(f822(f3(a885),x36771),x36773))
% 218.59/218.71 [3678]E(f822(f822(f3(a885),f822(f822(f79(a885),x36781),x36782)),f822(f822(f79(a885),x36781),x36783)),f822(f822(f3(a885),x36782),x36783))
% 218.59/218.71 [3684]E(f822(f822(f126(x36841),f822(f160(x36841),x36842)),f822(f822(f143(x36841),x36843),f108(x36841))),f822(f160(x36841),f822(f822(f143(x36841),x36843),x36842)))
% 218.59/218.71 [3686]E(f822(f822(f79(a885),f822(f183(f887(x36861)),x36862)),f822(f183(f887(x36861)),x36863)),f822(f183(f887(x36861)),f822(f822(f126(x36861),x36862),x36863)))
% 218.59/218.71 [3689]E(f822(f822(f79(a885),f822(f183(f887(x36891)),x36892)),f822(f183(f887(x36891)),x36893)),f822(f183(f887(x36891)),f165(x36891,x36892,x36893)))
% 218.59/218.71 [3696]E(f822(f822(f96(f892(x36961,a882)),f822(f164(x36961),x36962)),f822(f164(x36961),x36963)),f822(f164(x36961),f822(f822(f126(x36961),x36962),x36963)))
% 218.59/218.71 [3697]E(f44(a885,f822(f822(f80(a885),x36971),x36972),f822(f822(f80(a885),x36971),x36973)),f822(f822(f80(a885),x36971),f44(a885,x36972,x36973)))
% 218.59/218.71 [3709]E(f822(f822(f167(x37091),f822(f822(f3(a885),x37092),f77(a885))),f822(f163(x37091),x37093)),f822(f163(x37091),f822(f822(f167(x37091),x37092),x37093)))
% 218.59/218.71 [3714]E(f822(f822(f97(f892(x37141,a882)),x37142),f822(f78(f892(x37141,a882)),x37143)),f822(f822(f3(f892(x37141,a882)),x37142),x37143))
% 218.59/218.71 [3715]E(f822(f822(f3(f892(x37151,a882)),x37152),f822(f78(f892(x37151,a882)),x37153)),f822(f822(f97(f892(x37151,a882)),x37152),x37153))
% 218.59/218.71 [3738]E(f822(f822(f245(x37381,x37382),x37383),f822(f18(f892(x37382,a882),x37381),f182(f892(x37382,a882)))),f182(f892(f891(x37381,x37382),a882)))
% 218.59/218.71 [3740]E(f822(f822(f79(a885),f822(f822(f80(a885),x37401),x37402)),f822(f822(f80(a885),x37401),x37403)),f822(f822(f80(a885),x37401),f822(f822(f79(a885),x37402),x37403)))
% 218.59/218.71 [3741]E(f822(f822(f3(a885),f822(f822(f80(a885),x37411),x37412)),f822(f822(f80(a885),x37411),x37413)),f822(f822(f80(a885),x37411),f822(f822(f3(a885),x37412),x37413)))
% 218.59/218.71 [3742]E(f822(f822(f79(a1),f822(f822(f80(a1),x37421),x37422)),f822(f822(f80(a1),x37421),x37423)),f822(f822(f80(a1),x37421),f822(f822(f79(a1),x37422),x37423)))
% 218.59/218.71 [3743]E(f822(f822(f3(a1),f822(f822(f80(a1),x37431),x37432)),f822(f822(f80(a1),x37431),x37433)),f822(f822(f80(a1),x37431),f822(f822(f3(a1),x37432),x37433)))
% 218.59/218.71 [3744]E(f822(f822(f80(a1),f822(f822(f235(a1),x37441),x37442)),f822(f822(f235(a1),x37441),x37443)),f822(f822(f235(a1),x37441),f822(f822(f79(a885),x37442),x37443)))
% 218.59/218.71 [3758]E(f822(f822(f38(x37581,f892(x37582,a882)),x37583),f822(f18(f892(x37582,a882),x37581),f182(f892(x37582,a882)))),f182(f892(x37582,a882)))
% 218.59/218.71 [3760]E(f44(a885,f822(f822(f80(a885),x37601),x37602),f822(f822(f80(a885),x37603),x37602)),f822(f822(f80(a885),f44(a885,x37601,x37603)),x37602))
% 218.59/218.71 [3765]E(f44(a1,f822(f822(f80(a1),x37651),f44(a1,x37652,x37653)),x37653),f44(a1,f822(f822(f80(a1),x37651),x37652),x37653))
% 218.59/218.71 [3766]E(f44(a1,f822(f822(f3(a1),x37661),f44(a1,x37662,x37663)),x37663),f44(a1,f822(f822(f3(a1),x37661),x37662),x37663))
% 218.59/218.71 [3767]P144(f822(f822(f226(f892(x37671,a882)),x37672),f822(f822(f298(x37671),x37673),x37672)))
% 218.59/218.71 [3842]E(f822(f822(f39(f892(x38421,a882),f892(x38421,a882)),x38422),f822(f96(f892(x38421,a882)),x38423)),f822(f822(f96(f892(x38421,a882)),x38423),f37(f892(x38421,a882),x38422)))
% 218.59/218.71 [3843]E(f822(f822(f38(f892(x38431,a882),f892(x38431,a882)),x38432),f822(f97(f892(x38431,a882)),x38433)),f822(f822(f97(f892(x38431,a882)),x38433),f36(f892(x38431,a882),x38432)))
% 218.59/218.71 [3854]E(f822(f164(x38541),f822(f822(f822(f175(f887(x38541),f887(x38541)),x38542),f159(x38541)),x38543)),f822(f164(x38541),x38543))
% 218.59/218.71 [3858]E(f822(f822(f167(x38581),f822(f183(f887(x38581)),f169(x38581,x38582,x38583))),x38583),f169(x38581,x38582,x38583))
% 218.59/218.71 [3862]E(f822(f183(f887(x38621)),f822(f822(f822(f175(f887(x38621),f887(x38621)),x38622),f159(x38621)),x38623)),f822(f183(f887(x38621)),x38623))
% 218.59/218.71 [3865]E(f822(f822(f248(x38651,x38652,x38652),f822(f18(f892(x38652,x38652),x38651),f7(x38652))),x38653),f822(f247(x38651,x38652),x38653))
% 218.59/218.71 [3872]E(f44(a1,f822(f822(f3(a1),f44(a1,x38721,x38722)),x38723),x38722),f44(a1,f822(f822(f3(a1),x38721),x38723),x38722))
% 218.59/218.71 [3873]E(f44(a1,f822(f822(f235(a1),f44(a1,x38731,x38732)),x38733),x38732),f44(a1,f822(f822(f235(a1),x38731),x38733),x38732))
% 218.59/218.71 [3876]E(f822(f822(f38(f892(f891(x38761,x38762),a882),f892(x38762,a882)),x38763),f273(x38761,x38762)),f822(f273(x38761,x38762),f36(f892(f891(x38761,x38762),a882),x38763)))
% 218.59/218.71 [3877]E(f822(f822(f38(f892(f891(x38771,x38772),a882),f892(x38771,a882)),x38773),f255(x38771,x38772)),f822(f255(x38771,x38772),f36(f892(f891(x38771,x38772),a882),x38773)))
% 218.59/218.71 [3901]E(f822(f72(x39011,x39011,x39011,x39012),f822(f822(f175(x39011,x39011),x39013),x39012)),f822(f822(f175(x39011,x39011),f822(a107,x39013)),x39012))
% 218.59/218.71 [3919]E(f822(f822(f130(x39191),f822(f822(f3(a885),f822(f183(f887(x39191)),x39192)),x39193)),f822(f160(x39191),x39192)),f822(f160(x39191),f822(f822(f167(x39191),x39193),x39192)))
% 218.59/218.71 [3920]E(f822(f822(f167(x39201),f822(f822(f3(a885),f822(f183(f887(x39201)),x39202)),x39203)),f822(f160(x39201),x39202)),f822(f160(x39201),f822(f822(f130(x39201),x39203),x39202)))
% 218.59/218.71 [3922]E(f822(f822(f79(a885),f822(f157(a885),f822(f822(f146(x39221,a885),x39222),x39223))),f822(f183(f887(x39221)),x39223)),f147(x39221,x39222,x39223))
% 218.59/218.71 [3941]E(f822(f159(x39411),f822(f822(f822(f175(f887(x39411),f887(x39411)),x39412),f159(x39411)),x39413)),f822(f822(f822(f175(f887(x39411),f887(x39411)),f822(a107,x39412)),f159(x39411)),x39413))
% 218.59/218.71 [3955]P144(f822(f822(f226(a885),f822(f183(f887(x39551)),f822(f128(x39551,x39552),x39553))),f822(f183(f887(x39551)),x39553)))
% 218.59/218.71 [3971]E(f822(f822(f96(f892(f892(x39711,a882),a882)),f822(f297(x39711),x39712)),f822(f299(f892(x39711,a882),f892(x39711,a882),f822(f298(x39711),x39713)),f822(f297(x39711),x39712))),f822(f297(x39711),f822(f822(f298(x39711),x39713),x39712)))
% 218.59/218.71 [3999]P144(f822(f822(f226(a885),f822(f183(f887(x39991)),f169(x39991,x39992,x39993))),f822(f183(f887(x39991)),x39993)))
% 218.59/218.71 [4006]E(f822(f255(x40061,x40062),f822(f253(f891(x40061,x40062)),f822(f248(x40061,x40062,a882),x40063))),f822(f253(x40061),f822(f822(f10(f892(x40062,a882),a882,x40061),f86(x40062)),x40063)))
% 218.59/218.71 [4018]E(f822(f299(a885,a885,f822(f822(f9(a885,a885,a885),f79(a885)),x40181)),f292(a885,x40182,x40183)),f292(a885,f822(f822(f79(a885),x40182),x40181),f822(f822(f79(a885),x40183),x40181)))
% 218.59/218.71 [4032]E(f822(f299(a885,a885,f822(f822(f9(a885,a885,a885),f79(a885)),x40321)),f822(f291(a885,x40322),x40323)),f822(f291(a885,f822(f822(f79(a885),x40322),x40321)),f822(f822(f79(a885),x40323),x40321)))
% 218.59/218.71 [4050]E(f822(f822(f173(x40501,x40502),f822(f822(f146(f891(x40501,x40502),x40501),f242(x40501,x40502)),x40503)),f822(f822(f146(f891(x40501,x40502),x40502),f247(x40501,x40502)),x40503)),x40503)
% 218.59/218.71 [4055]E(f822(f822(f79(a885),f822(f822(f80(a885),x40551),f44(a885,f822(f822(f35(a885),x40552),x40551),x40553))),f44(a885,x40552,x40551)),f44(a885,x40552,f822(f822(f80(a885),x40551),x40553)))
% 218.59/218.71 [4068]E(f822(f822(f126(x40681),x40682),f822(f134(f887(x40681),f887(x40681),f126(x40681),f108(x40681)),x40683)),f822(f134(f887(x40681),f887(x40681),f126(x40681),x40682),x40683))
% 218.59/218.71 [4089]P144(f822(f822(f318(f891(x40891,x40891)),f822(f822(f243(x40891,x40891),x40892),x40892)),f822(f822(f175(f891(x40891,x40891),a882),f2(a885)),x40893)))
% 218.59/218.71 [4094]E(f822(f253(x40941),f822(f822(f10(f892(x40942,a882),a882,x40941),f86(x40942)),f822(f9(x40942,x40941,a882),x40943))),f822(f273(x40942,x40941),f822(f253(f891(x40942,x40941)),f822(f248(x40942,x40941,a882),x40943))))
% 218.59/218.71 [4111]E(f822(f822(f96(f892(x41111,a882)),f822(f822(f38(a885,f892(x41111,a882)),f292(a885,f77(a885),x41112)),x41113)),f822(x41113,f2(a885))),f822(f822(f38(a885,f892(x41111,a882)),f822(f290(a885),x41112)),x41113))
% 218.59/218.71 [4126]E(f822(f134(f887(x41261),f887(x41261),f126(x41261),f108(x41261)),f822(f822(f146(f887(x41261),f887(x41261)),f128(x41261,x41262)),x41263)),f822(f128(x41261,x41262),f822(f134(f887(x41261),f887(x41261),f126(x41261),f108(x41261)),x41263)))
% 218.59/218.71 [4130]E(f822(f247(f887(x41301),f887(x41301)),f158(x41301,x41302,x41303)),f822(f128(x41301,f822(f72(a882,a882,x41301,a311),x41302)),x41303))
% 218.59/218.71 [4175]E(f822(f822(f79(a1),f822(f822(f79(a1),f822(f822(f80(a1),x41751),f822(f822(f35(a1),x41752),x41751))),f44(a1,x41752,x41751))),x41753),f822(f822(f79(a1),x41752),x41753))
% 218.59/218.71 [4210]E(f822(f822(f79(a1),f822(f822(f79(a1),f822(f822(f80(a1),f822(f822(f35(a1),x42101),x42102)),x42102)),f44(a1,x42101,x42102))),x42103),f822(f822(f79(a1),x42101),x42103))
% 218.59/218.71 [4236]E(f84(f891(x42361,x42362),f822(f248(x42361,x42362,a882),f822(f822(f10(f892(x42362,f891(x42361,x42362)),f892(x42362,a882),x42361),f822(f10(f891(x42361,x42362),a882,x42362),x42363)),f243(x42361,x42362)))),f84(f891(x42361,x42362),x42363))
% 218.59/218.71 [4237]E(f89(f891(x42371,x42372),f822(f248(x42371,x42372,a882),f822(f822(f10(f892(x42372,f891(x42371,x42372)),f892(x42372,a882),x42371),f822(f10(f891(x42371,x42372),a882,x42372),x42373)),f243(x42371,x42372)))),f89(f891(x42371,x42372),x42373))
% 218.59/218.71 [4264]P144(f822(f822(f226(f892(x42641,a882)),f36(f892(x42641,a882),f822(f822(f97(f892(f892(x42641,a882),a882)),x42642),x42643))),f822(f822(f97(f892(x42641,a882)),f36(f892(x42641,a882),x42642)),f36(f892(x42641,a882),x42643))))
% 218.59/218.71 [4265]E(f822(f160(x42651),f822(f822(f822(f175(f887(x42651),f887(x42651)),f822(f822(f3(a885),f822(f183(f887(x42651)),x42652)),f44(a885,x42653,f822(f183(f887(x42651)),x42652)))),f159(x42651)),x42652)),f822(f822(f822(f175(f887(x42651),f887(x42651)),x42653),f159(x42651)),f822(f160(x42651),x42652)))
% 218.59/218.71 [4302]P144(f822(f822(f226(a885),f822(f183(f887(x43021)),f822(f822(f130(x43021),f822(f183(f887(x43021)),f169(x43021,x43022,x43023))),x43023))),f822(f183(f887(x43021)),x43023)))
% 218.59/218.71 [4538]~P144(f822(f61(x45381,x45382,f182(f892(x45381,a882))),x45383))
% 218.59/218.71 [4543]~P144(f822(f822(f318(f891(x45431,x45431)),f822(f822(f243(x45431,x45431),x45432),x45433)),f145(x45431,f108(f892(x45431,a885)))))
% 218.59/218.71 [3626]E(f822(f183(f887(x36261)),f822(f822(f167(x36261),x36262),x36263)),f822(f822(f230(a885),f822(f183(f887(x36261)),x36263)),x36262))
% 218.59/218.71 [3627]E(f822(f183(f887(x36271)),f822(f822(f130(x36271),x36272),x36273)),f822(f822(f3(a885),f822(f183(f887(x36271)),x36273)),x36272))
% 218.59/218.71 [3652]E(f822(f183(f887(f887(x36521))),f54(x36521,x36522,x36523)),f822(f822(f235(a885),f822(f183(f887(x36521)),x36523)),x36522))
% 218.59/218.71 [3670]E(f822(f822(f35(a885),f822(f822(f35(a885),x36701),x36702)),x36703),f822(f822(f35(a885),x36701),f822(f822(f80(a885),x36702),x36703)))
% 218.59/218.71 [3671]E(f822(f822(f79(a885),f822(f822(f79(a885),x36711),x36712)),x36713),f822(f822(f79(a885),x36711),f822(f822(f79(a885),x36712),x36713)))
% 218.59/218.71 [3672]E(f822(f822(f79(a1),f822(f822(f79(a1),x36721),x36722)),x36723),f822(f822(f79(a1),x36721),f822(f822(f79(a1),x36722),x36723)))
% 218.59/218.71 [3673]E(f822(f822(f80(a885),f822(f822(f80(a885),x36731),x36732)),x36733),f822(f822(f80(a885),x36731),f822(f822(f80(a885),x36732),x36733)))
% 218.59/218.71 [3674]E(f822(f822(f80(a1),f822(f822(f80(a1),x36741),x36742)),x36743),f822(f822(f80(a1),x36741),f822(f822(f80(a1),x36742),x36743)))
% 218.59/218.71 [3675]E(f822(f822(f3(a885),f822(f822(f3(a885),x36751),x36752)),x36753),f822(f822(f3(a885),x36751),f822(f822(f79(a885),x36752),x36753)))
% 218.59/218.71 [3676]E(f822(f822(f235(a1),f822(f822(f235(a1),x36761),x36762)),x36763),f822(f822(f235(a1),x36761),f822(f822(f80(a885),x36762),x36763)))
% 218.59/218.71 [3695]E(f154(x36951,f822(f822(f143(f892(x36951,a882)),x36952),x36953)),f166(x36951,x36952,f154(x36951,x36953)))
% 218.59/218.71 [3739]E(f822(f822(f3(a885),f822(f822(f3(a885),x37391),x37392)),x37393),f822(f822(f3(a885),f822(f822(f3(a885),x37391),x37393)),x37392))
% 218.59/218.71 [3747]E(f822(f822(f97(f892(x37471,a882)),x37472),f822(f822(f3(f892(x37471,a882)),x37473),x37472)),f182(f892(x37471,a882)))
% 218.59/218.71 [3751]E(f822(f822(f146(a885,x37511),f822(f18(x37511,a885),x37512)),f131(a885,f822(f291(a885,f2(a885)),x37513))),f161(x37511,x37513,x37512))
% 218.59/218.71 [3789]E(f37(f892(x37891,a882),f822(f822(f298(f892(x37891,a882)),x37892),x37893)),f822(f822(f97(f892(x37891,a882)),x37892),f37(f892(x37891,a882),x37893)))
% 218.59/218.71 [3790]E(f36(f892(x37901,a882),f822(f822(f298(f892(x37901,a882)),x37902),x37903)),f822(f822(f96(f892(x37901,a882)),x37902),f36(f892(x37901,a882),x37903)))
% 218.59/218.71 [3792]E(f161(x37921,f822(f183(f887(x37921)),f822(f128(x37921,f822(a314,x37922)),x37923)),x37922),f822(f128(x37921,f822(a314,x37922)),x37923))
% 218.59/218.71 [3794]E(f822(f822(f79(a885),f822(f822(f80(a885),x37941),x37942)),f822(f822(f80(a885),x37943),x37942)),f822(f822(f80(a885),f822(f822(f79(a885),x37941),x37943)),x37942))
% 218.59/218.71 [3795]E(f822(f822(f3(a885),f822(f822(f80(a885),x37951),x37952)),f822(f822(f80(a885),x37953),x37952)),f822(f822(f80(a885),f822(f822(f3(a885),x37951),x37953)),x37952))
% 218.59/218.71 [3796]E(f822(f822(f79(a1),f822(f822(f80(a1),x37961),x37962)),f822(f822(f80(a1),x37963),x37962)),f822(f822(f80(a1),f822(f822(f79(a1),x37961),x37963)),x37962))
% 218.59/218.71 [3798]E(f822(f822(f3(a1),f822(f822(f80(a1),x37981),x37982)),f822(f822(f80(a1),x37983),x37982)),f822(f822(f80(a1),f822(f822(f3(a1),x37981),x37983)),x37982))
% 218.59/218.71 [3799]E(f822(f822(f230(a885),f822(f822(f3(a885),x37991),x37992)),f822(f822(f3(a885),x37993),x37992)),f822(f822(f3(a885),f822(f822(f230(a885),x37991),x37993)),x37992))
% 218.59/218.71 [3819]E(f822(f822(f97(f892(f887(x38191),a882)),f152(x38191,x38192)),f152(x38191,x38193)),f152(x38191,f822(f822(f97(f892(x38191,a882)),x38192),x38193)))
% 218.59/218.71 [3822]E(f822(f822(f96(f892(x38221,a882)),x38222),f822(f822(f3(f892(x38221,a882)),x38223),x38222)),f822(f822(f96(f892(x38221,a882)),x38222),x38223))
% 218.59/218.71 [3823]E(f822(f822(f96(f892(x38231,a882)),x38232),f822(f822(f96(f892(x38231,a882)),x38232),x38233)),f822(f822(f96(f892(x38231,a882)),x38232),x38233))
% 218.59/218.71 [3824]E(f822(f822(f97(f892(x38241,a882)),x38242),f822(f822(f97(f892(x38241,a882)),x38242),x38243)),f822(f822(f97(f892(x38241,a882)),x38242),x38243))
% 218.59/218.71 [3836]E(f822(f822(f278(x38361,x38362,x38362),x38363),f296(x38362,f182(f892(f891(x38362,x38362),a882)))),x38363)
% 218.59/218.71 [3839]E(f822(f822(f96(f892(x38391,a882)),f822(f822(f298(x38391),x38392),f182(f892(x38391,a882)))),x38393),f822(f822(f298(x38391),x38392),x38393))
% 218.59/218.71 [3857]E(f822(f822(f3(a885),f822(f822(f3(a885),f822(a107,x38571)),x38572)),f822(a107,x38573)),f822(f822(f3(a885),f822(f822(f3(a885),x38571),x38572)),x38573))
% 218.59/218.71 [3885]E(f822(f822(f97(f892(f892(x38851,a882),a882)),f822(f297(x38851),x38852)),f822(f297(x38851),x38853)),f822(f297(x38851),f822(f822(f97(f892(x38851,a882)),x38852),x38853)))
% 218.59/218.71 [3888]E(f822(f822(f96(f892(x38881,a882)),f822(f78(f892(x38881,a882)),x38882)),x38883),f822(f78(f892(x38881,a882)),f822(f822(f3(f892(x38881,a882)),x38882),x38883)))
% 218.59/218.71 [3898]E(f822(f822(f298(x38981),x38982),f822(f822(f3(f892(x38981,a882)),x38983),f822(f822(f298(x38981),x38982),f182(f892(x38981,a882))))),f822(f822(f298(x38981),x38982),x38983))
% 218.59/218.71 [3908]P144(f822(f822(f226(f892(x39081,a882)),x39082),f822(f822(f96(f892(x39081,a882)),x39083),x39082)))
% 218.59/218.71 [3909]P144(f822(f822(f226(f892(x39091,a882)),x39092),f822(f822(f96(f892(x39091,a882)),x39092),x39093)))
% 218.59/218.71 [3913]E(f822(f822(f97(f892(x39131,a882)),f822(f78(f892(x39131,a882)),x39132)),f822(f78(f892(x39131,a882)),x39133)),f822(f78(f892(x39131,a882)),f822(f822(f96(f892(x39131,a882)),x39132),x39133)))
% 218.59/218.71 [3914]E(f822(f822(f96(f892(x39141,a882)),f822(f78(f892(x39141,a882)),x39142)),f822(f78(f892(x39141,a882)),x39143)),f822(f78(f892(x39141,a882)),f822(f822(f97(f892(x39141,a882)),x39142),x39143)))
% 218.59/218.71 [3927]P144(f822(f822(f226(f892(x39271,a882)),f822(f164(x39271),x39272)),f822(f164(x39271),f822(f822(f143(x39271),x39273),x39272))))
% 218.59/218.71 [3939]E(f822(f822(f96(f892(x39391,a882)),f822(f822(f3(f892(x39391,a882)),x39392),x39393)),f822(f822(f97(f892(x39391,a882)),x39392),x39393)),x39392)
% 218.59/218.71 [3987]E(f822(f822(f8(x39871,a1),f822(f822(f10(a885,a1,x39871),f95(a1)),x39872)),x39873),f822(f95(a1),f822(f822(f8(x39871,a885),x39872),x39873)))
% 218.59/218.71 [3988]E(f822(f822(f11(x39881,a1),f822(f822(f10(a885,a1,x39881),f95(a1)),x39882)),x39883),f822(f95(a1),f822(f822(f11(x39881,a885),x39882),x39883)))
% 218.59/218.71 [4034]E(f822(f822(f126(x40341),f169(x40341,x40342,x40343)),f822(f822(f130(x40341),f822(f183(f887(x40341)),f169(x40341,x40342,x40343))),x40343)),x40343)
% 218.59/218.71 [4038]E(f822(f78(f892(f891(x40381,x40382),a882)),f822(f822(f245(x40381,x40382),x40383),f822(f18(f892(x40382,a882),x40381),f233(f892(x40382,a882))))),f822(f822(f245(x40381,x40382),f822(f78(f892(x40381,a882)),x40383)),f822(f18(f892(x40382,a882),x40381),f233(f892(x40382,a882)))))
% 218.59/218.71 [4039]E(f822(f78(f892(f891(x40391,x40392),a882)),f822(f822(f245(x40391,x40392),f233(f892(x40391,a882))),f822(f18(f892(x40392,a882),x40391),x40393))),f822(f822(f245(x40391,x40392),f233(f892(x40391,a882))),f822(f18(f892(x40392,a882),x40391),f822(f78(f892(x40392,a882)),x40393))))
% 218.59/218.71 [4090]E(f822(f822(f38(f892(x40901,a882),f892(x40901,a882)),x40902),f822(f822(f9(f892(x40901,a882),f892(x40901,a882),f892(x40901,a882)),f97(f892(x40901,a882))),x40903)),f822(f822(f97(f892(x40901,a882)),f36(f892(x40901,a882),x40902)),x40903))
% 218.59/218.71 [4096]E(f822(f134(f887(x40961),f887(x40961),f126(x40961),f108(x40961)),f822(f822(f143(f887(x40961)),x40962),x40963)),f822(f822(f126(x40961),x40962),f822(f134(f887(x40961),f887(x40961),f126(x40961),f108(x40961)),x40963)))
% 218.59/218.71 [4117]E(f822(f822(f298(f892(x41171,a882)),f822(f274(x41171,x41171,x41172),f822(f822(f298(x41171),x41173),f182(f892(x41171,a882))))),f182(f892(f892(x41171,a882),a882))),f822(f822(f59(x41171),f822(f822(f298(x41171),x41173),f182(f892(x41171,a882)))),x41172))
% 218.59/218.71 [4127]E(f822(f822(f79(a885),f822(f822(f80(a885),x41271),f822(f822(f35(a885),x41272),x41273))),f822(f822(f35(a885),f822(f822(f80(a885),x41271),f44(a885,x41272,x41273))),x41273)),f822(f822(f35(a885),f822(f822(f80(a885),x41271),x41272)),x41273))
% 218.59/218.71 [4128]E(f822(f822(f79(a1),f822(f822(f80(a1),x41281),f822(f822(f35(a1),x41282),x41283))),f822(f822(f35(a1),f822(f822(f80(a1),x41281),f44(a1,x41282,x41283))),x41283)),f822(f822(f35(a1),f822(f822(f80(a1),x41281),x41282)),x41283))
% 218.59/218.71 [4160]E(f822(f822(f3(f892(x41601,a882)),f822(f164(x41601),x41602)),f822(f822(f298(x41601),x41603),f182(f892(x41601,a882)))),f822(f164(x41601),f822(f128(x41601,f822(f822(f10(a882,a882,x41601),a311),f822(a314,x41603))),x41602)))
% 218.59/218.71 [4208]E(f822(f822(f126(x42081),f822(f134(f887(x42081),f887(x42081),f126(x42081),f108(x42081)),x42082)),f822(f134(f887(x42081),f887(x42081),f126(x42081),f108(x42081)),x42083)),f822(f134(f887(x42081),f887(x42081),f126(x42081),f108(x42081)),f822(f822(f126(f887(x42081)),x42082),x42083)))
% 218.59/218.71 [4211]E(f822(f822(f243(f887(x42111),f887(x42111)),f822(f128(x42111,x42112),x42113)),f822(f128(x42111,f822(f72(a882,a882,x42111,a311),x42112)),x42113)),f158(x42111,x42112,x42113))
% 218.59/218.71 [4214]E(f822(f822(f79(a885),f822(f822(f79(a885),f822(f822(f35(a885),x42141),x42142)),f822(f822(f35(a885),x42143),x42142))),f822(f822(f35(a885),f822(f822(f79(a885),f44(a885,x42141,x42142)),f44(a885,x42143,x42142))),x42142)),f822(f822(f35(a885),f822(f822(f79(a885),x42141),x42143)),x42142))
% 218.59/218.71 [4215]E(f822(f822(f79(a1),f822(f822(f79(a1),f822(f822(f35(a1),x42151),x42152)),f822(f822(f35(a1),x42153),x42152))),f822(f822(f35(a1),f822(f822(f79(a1),f44(a1,x42151,x42152)),f44(a1,x42153,x42152))),x42152)),f822(f822(f35(a1),f822(f822(f79(a1),x42151),x42153)),x42152))
% 218.59/218.71 [4268]E(f822(f822(f97(f892(f887(x42681),a882)),f822(f822(f9(f887(x42681),f892(f887(x42681),a882),a882),f318(f887(x42681))),f153(x42681,x42682))),f822(f822(f9(f887(x42681),f892(f887(x42681),a882),a882),f318(f887(x42681))),f153(x42681,x42683))),f152(x42681,f822(f822(f97(f892(x42681,a882)),f822(f822(f9(x42681,f892(x42681,a882),a882),f318(x42681)),x42682)),f822(f822(f9(x42681,f892(x42681,a882),a882),f318(x42681)),x42683))))
% 218.59/218.71 [4280]E(f822(f253(x42801),f822(f822(f20(x42801,a882,a882),f822(f822(f10(a882,f892(a882,a882),x42801),a316),f822(f822(f9(x42801,x42801,a882),a314),x42802))),f822(f822(f9(x42801,f892(x42801,a882),a882),f318(x42801)),x42803))),f822(f822(f298(x42801),x42802),x42803))
% 218.59/218.71 [4300]E(f822(f822(f85(f887(f887(x43001)),f887(f887(x43001))),f53(x43001,x43002)),f822(f822(f20(f887(f887(x43001)),f887(f887(x43001)),f887(f887(x43001))),f822(f822(f10(f887(f887(x43001)),f892(f887(f887(x43001)),f887(f887(x43001))),f887(f887(x43001))),f126(f887(x43001))),f822(f146(f887(x43001),f887(x43001)),f822(f143(x43001),x43003)))),f7(f887(f887(x43001))))),f53(x43001,f822(f822(f143(x43001),x43003),x43002)))
% 218.59/218.71 [4303]E(f822(f253(x43031),f822(f822(f20(x43031,a882,a882),f822(f822(f10(a882,f892(a882,a882),x43031),a316),f822(f822(f9(x43031,f892(x43031,a882),a882),f318(x43031)),x43032))),f822(f822(f9(x43031,f892(x43031,a882),a882),f318(x43031)),x43033))),f822(f822(f96(f892(x43031,a882)),x43032),x43033))
% 218.59/218.71 [4304]E(f822(f253(x43041),f822(f822(f20(x43041,a882,a882),f822(f822(f10(a882,f892(a882,a882),x43041),a315),f822(f822(f9(x43041,f892(x43041,a882),a882),f318(x43041)),x43042))),f822(f822(f9(x43041,f892(x43041,a882),a882),f318(x43041)),x43043))),f822(f822(f97(f892(x43041,a882)),x43042),x43043))
% 218.59/218.71 [4392]E(f822(f822(f38(x43921,f892(f892(x43921,a882),a882)),x43922),f822(f822(f9(x43921,f892(f892(x43921,a882),a882),f892(f892(x43921,a882),a882)),f822(f822(f10(f892(x43921,a882),f892(f892(f892(x43921,a882),a882),f892(f892(x43921,a882),a882)),x43921),f298(f892(x43921,a882))),f822(f822(f10(f892(x43921,a882),f892(x43921,a882),x43921),f274(x43921,x43921,x43923)),f822(f822(f9(x43921,f892(x43921,a882),f892(x43921,a882)),f298(x43921)),f182(f892(x43921,a882)))))),f182(f892(f892(x43921,a882),a882)))),f822(f822(f59(x43921),x43922),x43923))
% 218.59/218.71 [4394]E(f822(f822(f195(x43941),f822(f822(f80(a1),f822(f822(f72(f891(a1,a1),a1,x43941,f242(a1,a1)),f206(x43941)),x43942)),f822(f822(f72(f891(a1,a1),a1,x43941,f242(a1,a1)),f206(x43941)),x43943))),f822(f822(f80(a1),f822(f822(f72(f891(a1,a1),a1,x43941,f247(a1,a1)),f206(x43941)),x43942)),f822(f822(f72(f891(a1,a1),a1,x43941,f247(a1,a1)),f206(x43941)),x43943))),f222(x43941,x43942,x43943))
% 218.59/218.71 [4397]E(f822(f253(f887(x43971)),f822(f822(f20(f887(x43971),a882,a882),f822(f822(f10(a882,f892(a882,a882),f887(x43971)),a315),f822(f822(f9(f887(x43971),a885,a882),f822(f822(f10(a885,f892(a885,a882),f887(x43971)),a314),f183(f887(x43971)))),x43972))),f822(f822(f9(f887(x43971),f892(x43971,a882),a882),f822(f822(f10(f892(x43971,a882),f892(f892(x43971,a882),a882),f887(x43971)),f226(f892(x43971,a882))),f164(x43971))),f822(f164(x43971),x43973)))),f822(f164(f887(x43971)),f54(x43971,x43972,x43973)))
% 218.59/218.71 [3812]E(f44(a885,f822(f822(f79(a885),f822(f822(f80(a885),x38121),x38122)),x38123),x38122),f44(a885,x38123,x38122))
% 218.59/218.71 [3856]E(f131(a885,f822(f291(a885,f822(f822(f79(a885),x38561),x38562)),x38563)),f822(f822(f130(a885),x38562),f131(a885,f822(f291(a885,x38561),x38563))))
% 218.59/218.71 [3897]E(f822(f822(f79(a1),f822(f95(a1),x38971)),f822(f822(f79(a1),f822(f95(a1),x38972)),x38973)),f822(f822(f79(a1),f822(f95(a1),f822(f822(f79(a885),x38971),x38972))),x38973))
% 218.59/218.71 [3904]E(f822(f822(f3(f892(x39041,a882)),f822(f822(f3(f892(x39041,a882)),x39042),x39043)),x39043),f822(f822(f3(f892(x39041,a882)),x39042),x39043))
% 218.59/218.71 [3905]E(f822(f822(f96(f892(x39051,a882)),f822(f822(f3(f892(x39051,a882)),x39052),x39053)),x39053),f822(f822(f96(f892(x39051,a882)),x39052),x39053))
% 218.59/218.71 [3928]E(f822(f822(f278(x39281,x39281,x39282),f296(x39281,f182(f892(f891(x39281,x39281),a882)))),x39283),x39283)
% 218.59/218.71 [3936]E(f822(f822(f96(f892(x39361,a882)),f822(f270(x39361),x39362)),f822(f270(x39361),x39363)),f822(f270(x39361),f822(f822(f96(f892(f891(x39361,x39361),a882)),x39362),x39363)))
% 218.59/218.71 [3946]E(f257(x39461,f822(f822(f143(f891(a94,x39461)),f822(f822(f243(a94,x39461),f2(a94)),x39462)),x39463)),f257(x39461,x39463))
% 218.59/218.71 [3948]E(f822(f822(f97(f892(x39481,a882)),f37(f892(x39481,a882),x39482)),f37(f892(x39481,a882),x39483)),f37(f892(x39481,a882),f822(f822(f96(f892(f892(x39481,a882),a882)),x39482),x39483)))
% 218.59/218.71 [3949]E(f822(f822(f96(f892(x39491,a882)),f36(f892(x39491,a882),x39492)),f36(f892(x39491,a882),x39493)),f36(f892(x39491,a882),f822(f822(f96(f892(f892(x39491,a882),a882)),x39492),x39493)))
% 218.59/218.71 [3984]E(f822(f822(f278(x39841,x39841,x39841),f822(f822(f175(f891(x39841,x39841),a882),x39842),x39843)),x39843),f822(f822(f175(f891(x39841,x39841),a882),f822(a107,x39842)),x39843))
% 218.59/218.71 [4026]P144(f822(f822(f226(f892(x40261,a882)),f822(f822(f3(f892(x40261,a882)),x40262),x40263)),x40262))
% 218.59/218.71 [4027]P144(f822(f822(f226(f892(x40271,a882)),f822(f822(f97(f892(x40271,a882)),x40272),x40273)),x40273))
% 218.59/218.71 [4028]P144(f822(f822(f226(f892(x40281,a882)),f822(f822(f97(f892(x40281,a882)),x40282),x40283)),x40282))
% 218.59/218.71 [4052]E(f296(x40521,f822(f822(f96(f892(f891(x40521,x40521),a882)),f296(x40521,x40522)),f296(x40521,x40523))),f296(x40521,f822(f822(f96(f892(f891(x40521,x40521),a882)),x40522),x40523)))
% 218.59/218.71 [4056]E(f36(f892(x40561,a882),f822(f822(f298(f892(x40561,a882)),x40562),f822(f822(f298(f892(x40561,a882)),x40563),f182(f892(f892(x40561,a882),a882))))),f822(f822(f96(f892(x40561,a882)),x40562),x40563))
% 218.59/218.71 [4057]E(f37(f892(x40571,a882),f822(f822(f298(f892(x40571,a882)),x40572),f822(f822(f298(f892(x40571,a882)),x40573),f182(f892(f892(x40571,a882),a882))))),f822(f822(f97(f892(x40571,a882)),x40572),x40573))
% 218.59/218.71 [4062]E(f822(f822(f278(x40621,x40621,x40621),f822(f822(f175(f891(x40621,x40621),a882),x40622),x40623)),x40623),f822(f822(f278(x40621,x40621,x40621),x40623),f822(f822(f175(f891(x40621,x40621),a882),x40622),x40623)))
% 218.59/218.71 [4131]E(f822(f822(f96(f892(x41311,a882)),f822(f253(x41311),f822(f822(f9(x41311,x41311,a882),a314),x41312))),x41313),f822(f822(f298(x41311),x41312),x41313))
% 218.59/218.71 [4133]E(f822(a100,f822(f822(f8(x41331,a1),f822(f822(f10(a885,a1,x41331),f95(a1)),x41332)),x41333)),f822(f822(f8(x41331,a885),x41332),x41333))
% 218.59/218.71 [4134]E(f822(a100,f822(f822(f11(x41341,a1),f822(f822(f10(a885,a1,x41341),f95(a1)),x41342)),x41343)),f822(f822(f11(x41341,a885),x41342),x41343))
% 218.59/218.71 [4205]E(f822(f148(f887(x42051),x42051,f822(f163(x42051),x42052),f822(f18(f892(f887(x42051),f887(x42051)),x42051),f822(f822(f9(f887(x42051),f887(x42051),f887(x42051)),f126(x42051)),x42052))),x42053),f822(f163(x42051),f822(f822(f126(x42051),x42053),x42052)))
% 218.59/218.71 [4233]P144(f822(f822(f226(f892(f892(x42331,a882),a882)),f822(f822(f96(f892(f892(x42331,a882),a882)),f822(f297(x42331),x42332)),f822(f297(x42331),x42333))),f822(f297(x42331),f822(f822(f96(f892(x42331,a882)),x42332),x42333))))
% 218.59/218.71 [4322]E(f822(f253(x43221),f822(f822(f20(x43221,a882,a882),f822(f822(f10(a882,f892(a882,a882),x43221),a315),f822(f822(f9(x43221,f892(x43221,a882),a882),f318(x43221)),x43222))),f822(f822(f10(a882,a882,x43221),a311),f822(f822(f9(x43221,f892(x43221,a882),a882),f318(x43221)),x43223)))),f822(f822(f3(f892(x43221,a882)),x43222),x43223))
% 218.59/218.71 [4345]E(f822(f34(a885),f822(f253(a885),f822(f822(f20(a885,a882,a882),f822(f822(f10(a882,f892(a882,a882),a885),a315),f822(f822(f9(a885,a885,a882),f227(a885)),f822(f183(f887(x43451)),x43452)))),f822(f822(f10(x43451,a882,a885),x43453),f822(f156(x43451),x43452))))),f822(f183(f887(x43451)),f822(f128(x43451,x43453),x43452)))
% 218.59/218.71 [4347]E(f822(f183(f887(x43471)),f168(x43471,x43472,x43473)),f822(f34(a885),f822(f253(a885),f822(f822(f20(a885,a882,a882),f822(f822(f10(a882,f892(a882,a882),a885),a315),f822(f822(f9(a885,a885,a882),f227(a885)),f822(f183(f887(x43471)),x43472)))),f822(f822(f9(a885,f892(a885,a882),a882),f318(a885)),x43473)))))
% 218.59/218.71 [4443]E(f822(f822(f97(f892(f891(f887(x44431),f887(x44431)),a882)),f822(f299(f891(f891(x44431,f887(x44431)),f891(x44431,f887(x44431))),f891(f887(x44431),f887(x44431)),f249(f891(x44431,f887(x44431)),f887(x44431),f891(x44431,f887(x44431)),f887(x44431),f822(f248(x44431,f887(x44431),f887(x44431)),f143(x44431)),f822(f248(x44431,f887(x44431),f887(x44431)),f143(x44431)))),f308(x44431,f887(x44431),x44432,f822(f135(x44431,x44432),x44433)))),f822(f253(f891(f887(x44431),f887(x44431))),f822(f248(f887(x44431),f887(x44431),a882),f822(f822(f9(f887(x44431),f892(f887(x44431),a882),f892(f887(x44431),a882)),f822(f822(f10(f892(a882,a882),f892(f892(f887(x44431),a882),f892(f887(x44431),a882)),f887(x44431)),f10(a882,a882,f887(x44431))),f822(f822(f10(a882,f892(a882,a882),f887(x44431)),a315),f822(f822(f9(f887(x44431),a885,a882),f822(f822(f10(a885,f892(a885,a882),f887(x44431)),a314),f183(f887(x44431)))),f822(a107,x44433))))),f822(f822(f9(f887(x44431),a885,a882),f822(f822(f10(a885,f892(a885,a882),f887(x44431)),a314),f183(f887(x44431)))),f822(a107,x44433)))))),f822(f135(x44431,x44432),f822(a107,x44433)))
% 218.59/218.71 [3950]E(f44(a885,f822(a107,f822(f822(f79(a885),f822(f822(f80(a885),x39501),x39502)),x39503)),x39502),f44(a885,f822(a107,x39503),x39502))
% 218.59/218.71 [4193]E(f822(f253(x41931),f822(f822(f20(x41931,a882,a882),f822(f822(f10(a882,f892(a882,a882),x41931),a315),x41932)),x41933)),f822(f822(f97(f892(x41931,a882)),f822(f253(x41931),x41932)),f822(f253(x41931),x41933)))
% 218.59/218.71 [4194]E(f822(f253(x41941),f822(f822(f20(x41941,a882,a882),f822(f822(f10(a882,f892(a882,a882),x41941),a316),x41942)),x41943)),f822(f822(f96(f892(x41941,a882)),f822(f253(x41941),x41942)),f822(f253(x41941),x41943)))
% 218.59/218.71 [4196]E(f822(f822(f126(x41961),f822(f822(f130(x41961),f44(a885,x41962,f822(f183(f887(x41961)),x41963))),x41963)),f822(f822(f167(x41961),f44(a885,x41962,f822(f183(f887(x41961)),x41963))),x41963)),f822(f822(f822(f175(f887(x41961),f887(x41961)),x41962),f159(x41961)),x41963))
% 218.59/218.71 [4202]E(f822(f253(x42021),f822(f822(f20(x42021,a882,a882),f822(f822(f10(a882,f892(a882,a882),x42021),a319),x42022)),x42023)),f822(f822(f96(f892(x42021,a882)),f822(f78(f892(x42021,a882)),f822(f253(x42021),x42022))),f822(f253(x42021),x42023)))
% 218.59/218.71 [4216]E(f822(f822(f79(a885),f822(f183(f887(x42161)),f822(f128(x42161,x42162),x42163))),f822(f183(f887(x42161)),f822(f128(x42161,f822(f822(f10(a882,a882,x42161),a311),x42162)),x42163))),f822(f183(f887(x42161)),x42163))
% 218.59/218.71 [4239]P144(f822(f822(f226(f892(x42391,a882)),f822(f822(f96(f892(x42391,a882)),f37(f892(x42391,a882),x42392)),f37(f892(x42391,a882),x42393))),f37(f892(x42391,a882),f822(f822(f97(f892(f892(x42391,a882),a882)),x42392),x42393))))
% 218.59/218.71 [4253]E(f822(f164(x42531),f822(f128(x42531,f822(f822(f10(a882,a882,x42531),a311),f822(f822(f9(x42531,x42531,a882),a314),x42532))),x42533)),f822(f822(f3(f892(x42531,a882)),f822(f164(x42531),x42533)),f822(f822(f298(x42531),x42532),f182(f892(x42531,a882)))))
% 218.59/218.71 [4262]P144(f822(f822(f226(f892(f891(x42621,x42621),a882)),f822(f822(f96(f892(f891(x42621,x42621),a882)),f296(x42621,x42622)),f296(x42621,x42623))),f296(x42621,f822(f822(f96(f892(f891(x42621,x42621),a882)),x42622),x42623))))
% 218.59/218.71 [4285]E(f822(f822(f80(a885),f822(a107,f822(a107,f2(a885)))),f822(f822(f8(a885,a885),f822(f822(f10(a885,a885,a885),f822(f79(a885),x42851)),f822(f822(f9(a885,a885,a885),f80(a885)),x42852))),f822(f271(a885),x42853))),f822(f822(f80(a885),x42853),f822(f822(f79(a885),x42851),f822(f822(f79(a885),x42851),f822(f822(f80(a885),f822(f822(f3(a885),x42853),f77(a885))),x42852)))))
% 218.59/218.71 [4295]E(f822(f253(x42951),f822(f822(f20(x42951,a882,a882),f822(f822(f10(a882,f892(a882,a882),x42951),a315),f822(f822(f9(x42951,f892(x42951,a882),a882),f318(x42951)),f822(f164(x42951),x42952)))),x42953)),f822(f164(x42951),f822(f128(x42951,x42953),x42952)))
% 218.59/218.71 [4442]E(f822(f253(x44421),f822(f822(f10(f892(a885,a882),a882,x44421),f86(a885)),f822(f822(f9(x44421,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),x44421),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),x44421),f822(f10(a882,f892(a882,a882),a885),a315)),f822(f822(f9(x44421,f892(a885,x44421),f892(a885,a882)),f822(f822(f10(f892(x44421,a882),f892(f892(a885,x44421),f892(a885,a882)),x44421),f10(x44421,a882,a885)),a314)),f822(f156(x44421),x44422))))),f822(f822(f20(a885,a882,a882),f822(f822(f10(a882,f892(a882,a882),a885),a315),f822(f822(f9(a885,a885,a882),f227(a885)),f822(f183(f887(x44421)),x44422)))),f822(f822(f9(a885,f892(a885,a882),a882),f318(a885)),x44423))))),f822(f164(x44421),f168(x44421,x44422,x44423)))
% 218.59/218.71 [4335]E(f822(f253(x43351),f822(f822(f20(x43351,a882,a882),f822(f822(f10(a882,f892(a882,a882),x43351),a319),f822(f822(f10(a882,a882,x43351),a311),f822(f822(f9(x43351,x43351,a882),a314),x43352)))),x43353)),f822(f822(f298(x43351),x43352),f822(f253(x43351),x43353)))
% 218.59/218.71 [4366]E(f822(f822(f146(f891(x43661,a885),x43661),f242(x43661,a885)),f822(f128(f891(x43661,a885),f822(f822(f9(f891(x43661,a885),f892(a885,a882),a882),f822(f822(f10(a885,f892(f892(a885,a882),a882),f891(x43661,a885)),f318(a885)),f247(x43661,a885))),x43662)),f822(f822(f173(x43661,a885),x43663),f131(a885,f822(f291(a885,f2(a885)),f822(f183(f887(x43661)),x43663)))))),f168(x43661,x43663,x43662))
% 218.59/218.71 [4393]E(f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(f822(f8(a885,a1),f822(f822(f10(a1,a1,a885),f822(f79(a1),x43931)),f822(f822(f9(a885,a1,a1),f822(f822(f10(a1,f892(a1,a1),a885),f80(a1)),f95(a1))),x43932))),f822(f271(a885),x43933))),f822(f822(f80(a1),f822(f95(a1),x43933)),f822(f822(f79(a1),x43931),f822(f822(f79(a1),x43931),f822(f822(f80(a1),f822(f95(a1),f822(f822(f3(a885),x43933),f77(a885)))),x43932)))))
% 218.59/218.71 [4435]E(f822(f253(f891(x44351,x44352)),f822(f248(x44351,x44352,a882),f822(f822(f9(x44351,f892(f891(x44352,x44351),a882),f892(x44352,a882)),f822(f822(f10(f892(x44352,f892(f892(f891(x44352,x44351),a882),a882)),f892(f892(f891(x44352,x44351),a882),f892(x44352,a882)),x44351),f9(x44352,f892(f891(x44352,x44351),a882),a882)),f822(f822(f10(f892(x44352,f891(x44352,x44351)),f892(x44352,f892(f892(f891(x44352,x44351),a882),a882)),x44351),f822(f10(f891(x44352,x44351),f892(f892(f891(x44352,x44351),a882),a882),x44352),f318(f891(x44352,x44351)))),f822(f9(x44352,x44351,f891(x44352,x44351)),f243(x44352,x44351))))),x44353))),f822(f275(x44352,x44351),x44353))
% 218.59/218.71 [4455]E(f822(f253(f887(x44551)),f822(f822(f10(f892(x44551,a882),a882,f887(x44551)),f86(x44551)),f822(f822(f10(f892(x44551,f892(f887(x44551),a882)),f892(x44551,a882),f887(x44551)),f822(f10(f892(f887(x44551),a882),a882,x44551),f86(f887(x44551)))),f822(f822(f9(f887(x44551),f892(x44551,f892(f887(x44551),a882)),f892(x44551,f892(f887(x44551),a882))),f822(f822(f10(f892(x44551,f892(f892(f887(x44551),a882),f892(f887(x44551),a882))),f892(f892(x44551,f892(f887(x44551),a882)),f892(x44551,f892(f887(x44551),a882))),f887(x44551)),f20(x44551,f892(f887(x44551),a882),f892(f887(x44551),a882))),f822(f822(f10(f892(x44551,f892(f887(x44551),f892(a882,a882))),f892(x44551,f892(f892(f887(x44551),a882),f892(f887(x44551),a882))),f887(x44551)),f822(f10(f892(f887(x44551),f892(a882,a882)),f892(f892(f887(x44551),a882),f892(f887(x44551),a882)),x44551),f20(f887(x44551),a882,a882))),f822(f822(f10(f892(x44551,f892(f887(x44551),a882)),f892(x44551,f892(f887(x44551),f892(a882,a882))),f887(x44551)),f822(f10(f892(f887(x44551),a882),f892(f887(x44551),f892(a882,a882)),x44551),f822(f10(a882,f892(a882,a882),f887(x44551)),a315))),f822(f822(f9(f887(x44551),f892(x44551,f892(f887(x44551),f887(x44551))),f892(x44551,f892(f887(x44551),a882))),f822(f822(f10(f892(f892(f887(x44551),f887(x44551)),f892(f887(x44551),a882)),f892(f892(x44551,f892(f887(x44551),f887(x44551))),f892(x44551,f892(f887(x44551),a882))),f887(x44551)),f10(f892(f887(x44551),f887(x44551)),f892(f887(x44551),a882),x44551)),f822(f822(f10(f892(f887(x44551),a882),f892(f892(f887(x44551),f887(x44551)),f892(f887(x44551),a882)),f887(x44551)),f10(f887(x44551),a882,f887(x44551))),a314))),f143(x44551)))))),f822(f822(f9(x44551,f892(f887(x44551),a882),f892(f887(x44551),a882)),f822(f822(f10(f892(a882,a882),f892(f892(f887(x44551),a882),f892(f887(x44551),a882)),x44551),f10(a882,a882,f887(x44551))),f822(f822(f10(a882,f892(a882,a882),x44551),a315),f822(f822(f9(x44551,f892(x44551,a882),a882),f318(x44551)),x44552)))),f822(f822(f9(f887(x44551),f892(f887(x44551),a882),a882),f318(f887(x44551))),x44553)))))),f166(x44551,x44552,x44553))
% 218.59/218.71 [4452]E(f822(f822(f85(a1,f891(a1,a1)),f822(f822(f3(a1),x44521),x44522)),f822(f822(f9(a1,f891(a1,a1),f891(a1,a1)),f822(f822(f20(a1,f891(a1,a1),f892(f891(a1,a1),f891(a1,a1))),f822(f822(f10(a882,f892(f891(a1,a1),f892(f891(a1,a1),f891(a1,a1))),a1),f90(f891(a1,a1))),f822(f226(a1),f2(a1)))),f822(f243(a1,a1),f822(f822(f79(a1),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x44523)),f77(a1))))),f822(f822(f243(a1,a1),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x44523)),x44521))),f822(f42(x44522),f822(f822(f243(a1,a1),x44523),x44521)))
% 218.59/218.71 [4476]~E(f29(x44761,x44762),f30(x44763,x44764))
% 218.59/218.71 [3510]E(f111(x35101,f822(x35102,x35103),f822(x35104,x35103)),f822(f197(x35101,x35102,x35104),x35103))
% 218.59/218.71 [3565]E(f822(f822(f236(x35651,x35652,x35653),x35654),f2(a885)),x35652)
% 218.59/218.71 [3604]E(f177(x36041,x36042,x36043,f822(a107,x36044)),f822(x36043,x36044))
% 218.59/218.71 [3644]E(f162(x36441,x36442,f162(x36441,x36443,x36444)),f162(x36441,x36443,f162(x36441,x36442,x36444)))
% 218.59/218.71 [3645]E(f120(x36451,x36452,f111(x36451,x36453,x36454)),f111(x36451,f120(x36451,x36452,x36453),x36454))
% 218.59/218.71 [3780]E(f822(f148(x37801,x37802,x37803,x37804),f108(x37802)),x37803)
% 218.59/218.71 [3781]E(f822(f134(x37811,x37812,x37813,x37814),f108(x37812)),x37814)
% 218.59/218.71 [3818]E(f822(f183(f890(x38181,x38182)),f214(x38181,x38182,x38183,x38184)),f2(a885))
% 218.59/218.71 [3841]E(f822(f248(x38411,x38412,x38413),f246(x38411,x38412,x38413,x38414)),x38414)
% 218.59/218.71 [3884]E(f822(f822(f126(x38841),f161(x38841,x38842,x38843)),f161(x38841,x38844,x38843)),f822(f822(f126(x38841),f161(x38841,x38844,x38843)),f161(x38841,x38842,x38843)))
% 218.59/218.71 [3969]E(f822(f822(f250(x39691,x39692,x39693,f891(x39692,x39693)),x39694),f243(x39692,x39693)),x39694)
% 218.59/218.71 [3983]E(f74(x39831,x39832,x39833,x39834,f822(x39833,x39834)),x39833)
% 218.59/218.71 [4246]P42(x42461,x42462,x42463,x42464,f182(f892(x42461,a882)),x42464)
% 218.59/218.71 [3316]E(f822(f822(f18(x33161,x33162),x33163),x33164),x33163)
% 218.59/218.71 [3594]E(f162(x35941,x35942,f822(f128(x35941,x35943),x35944)),f822(f128(x35941,x35943),f162(x35941,x35942,x35944)))
% 218.59/218.71 [3628]E(f822(f822(f63(x36281,x36282,x36283),x36284),f182(f892(x36281,a882))),x36284)
% 218.59/218.71 [3651]E(f822(f822(f156(x36511),f822(f822(f143(x36511),x36512),x36513)),f822(a107,x36514)),f822(f822(f156(x36511),x36513),x36514))
% 218.59/218.71 [3719]E(f822(f822(x37191,x37192),f822(f176(x37193,x37194,x37191),x37192)),f822(f176(x37193,x37194,x37191),f822(a107,x37192)))
% 218.59/218.71 [3761]E(f246(x37611,x37612,x37613,f822(f248(x37611,x37612,x37613),x37614)),x37614)
% 218.59/218.71 [3816]E(f822(f822(f151(x38161,f822(f822(f143(x38161),x38162),x38163)),f2(a885)),x38164),f822(f822(f143(x38161),x38164),x38163))
% 218.59/218.71 [3826]E(f822(f822(f38(f892(x38261,a882),f892(x38262,a882)),x38263),f299(x38261,x38262,x38264)),f822(f299(x38261,x38262,x38264),f36(f892(x38261,a882),x38263)))
% 218.59/218.71 [3827]E(f822(f822(f38(f892(x38271,a882),f892(x38272,a882)),x38273),f300(x38272,x38271,x38274)),f822(f300(x38272,x38271,x38274),f36(f892(x38271,a882),x38273)))
% 218.59/218.71 [3925]E(f822(f119(x39251,x39252),f120(x39251,x39253,x39254)),f822(f822(f79(a885),f822(f822(f79(a885),f822(x39252,x39253)),f822(f119(x39251,x39252),x39254))),f822(a107,f2(a885))))
% 218.59/218.71 [3945]E(f822(f134(x39451,x39452,f822(f9(x39452,x39451,x39451),x39453),x39454),f822(f160(x39452),f108(x39452))),x39454)
% 218.59/218.71 [4046]E(f217(x40461,f891(x40462,f886(x40462)),x40463,f822(f248(x40462,f886(x40462),x40461),x40464),f822(f127(x40462),f114(x40462))),x40463)
% 218.59/218.71 [4178]E(f822(f248(x41781,x41782,x41783),f822(f822(f10(f892(x41782,f891(x41781,x41782)),f892(x41782,x41783),x41781),f822(f10(f891(x41781,x41782),x41783,x41782),x41784)),f243(x41781,x41782))),x41784)
% 218.59/218.71 [3501]E(f822(f247(x35011,x35012),f822(f822(f243(x35011,x35012),x35013),x35014)),x35014)
% 218.59/218.71 [3502]E(f822(f242(x35021,x35022),f822(f822(f243(x35021,x35022),x35023),x35024)),x35023)
% 218.59/218.71 [3538]E(f822(f183(f887(x35381)),f822(f822(f146(x35382,x35381),x35383),x35384)),f822(f183(f887(x35382)),x35384))
% 218.59/218.71 [3539]E(f822(f183(f887(x35391)),f822(f822(f151(x35391,x35392),x35393),x35394)),f822(f183(f887(x35391)),x35392))
% 218.59/218.71 [3560]E(f822(f822(f130(x35601),f822(a107,x35602)),f822(f822(f143(x35601),x35603),x35604)),f822(f822(f130(x35601),x35602),x35604))
% 218.59/218.71 [3623]E(f822(f822(f167(x36231),x36232),f161(x36231,x36233,x36234)),f161(x36231,f822(f822(f230(a885),x36232),x36233),x36234))
% 218.59/218.71 [3624]E(f822(f822(f130(x36241),x36242),f161(x36241,x36243,x36244)),f161(x36241,f822(f822(f3(a885),x36243),x36242),x36244))
% 218.59/218.71 [3630]E(f822(f822(f298(x36301),x36302),f822(f822(f298(x36301),x36303),x36304)),f822(f822(f298(x36301),x36303),f822(f822(f298(x36301),x36302),x36304)))
% 218.59/218.71 [3633]E(f822(f822(f146(x36331,x36332),x36333),f109(x36331,x36334)),f109(x36332,f822(f822(f146(x36331,x36332),x36333),x36334)))
% 218.59/218.71 [3649]E(f822(f160(x36491),f822(f822(f146(x36492,x36491),x36493),x36494)),f822(f822(f146(x36492,x36491),x36493),f822(f160(x36492),x36494)))
% 218.59/218.71 [3650]E(f822(f822(f146(x36501,x36502),x36503),f822(f163(x36501),x36504)),f822(f163(x36502),f822(f822(f146(x36501,x36502),x36503),x36504)))
% 218.59/218.71 [3665]E(f822(f822(f167(x36651),f822(a107,x36652)),f822(f822(f143(x36651),x36653),x36654)),f822(f822(f143(x36651),x36653),f822(f822(f167(x36651),x36652),x36654)))
% 218.59/218.71 [3669]E(f822(f164(x36691),f822(f822(f146(x36692,x36691),x36693),x36694)),f822(f299(x36692,x36691,x36693),f822(f164(x36692),x36694)))
% 218.59/218.71 [3682]E(f822(f822(f146(x36821,x36822),f822(f18(x36822,x36821),x36823)),x36824),f161(x36822,f822(f183(f887(x36821)),x36824),x36823))
% 218.59/218.71 [3718]E(f19(x37181,x37182,x37183,f822(a5,f822(a107,f822(a22,x37184)))),f822(x37183,x37184))
% 218.59/218.71 [3722]E(f822(f822(f126(x37221),f822(f128(x37221,x37222),x37223)),f822(f128(x37221,x37222),x37224)),f822(f128(x37221,x37222),f822(f822(f126(x37221),x37223),x37224)))
% 218.59/218.71 [3735]E(f144(x37351,f822(f822(f146(x37352,x37351),x37353),f144(x37352,x37354))),f144(x37351,f822(f822(f146(x37352,x37351),x37353),x37354)))
% 218.59/218.71 [3750]E(f822(f275(x37501,x37501),f822(f822(f277(x37502,x37501),x37503),x37504)),f822(f822(f277(x37502,x37501),f822(f275(x37502,x37502),x37503)),x37504))
% 218.59/218.71 [3762]E(f822(f822(f278(x37621,x37622,x37623),x37624),f182(f892(f891(x37622,x37623),a882))),f182(f892(f891(x37621,x37623),a882)))
% 218.59/218.71 [3763]E(f822(f822(f167(x37631),f822(f822(f3(a885),x37632),x37633)),f822(f822(f130(x37631),x37633),x37634)),f822(f822(f130(x37631),x37633),f822(f822(f167(x37631),x37632),x37634)))
% 218.59/218.71 [3782]E(f822(f822(f126(x37821),f161(x37821,x37822,x37823)),f161(x37821,x37824,x37823)),f161(x37821,f822(f822(f79(a885),x37822),x37824),x37823))
% 218.59/218.71 [3783]E(f822(f822(f822(f267(x37831),x37832),x37833),x37834),f822(f243(f892(a94,f892(a882,f889(f886(x37831)))),f891(a94,a94)),f822(f41(x37831),x37832)))
% 218.59/218.71 [3809]E(f37(f892(x38091,a882),f822(f299(x38092,f892(x38091,a882),x38093),x38094)),f822(f822(f39(x38092,f892(x38091,a882)),x38094),x38093))
% 218.59/218.71 [3810]E(f36(f892(x38101,a882),f822(f299(x38102,f892(x38101,a882),x38103),x38104)),f822(f822(f38(x38102,f892(x38101,a882)),x38104),x38103))
% 218.59/218.71 [3811]E(f822(f183(f887(f891(x38111,x38112))),f822(f822(f173(x38111,x38112),x38113),x38114)),f822(f822(f230(a885),f822(f183(f887(x38111)),x38113)),f822(f183(f887(x38112)),x38114)))
% 218.59/218.71 [3813]E(f822(f300(x38131,x38132,x38133),f822(f78(f892(x38132,a882)),x38134)),f822(f78(f892(x38131,a882)),f822(f300(x38131,x38132,x38133),x38134)))
% 218.59/218.71 [3861]E(f822(f300(x38611,x38612,x38613),f822(f253(x38612),x38614)),f822(f253(x38611),f822(f822(f10(x38612,a882,x38611),x38614),x38613)))
% 218.59/218.71 [3879]E(f822(f822(f156(x38791),f822(f822(f126(x38791),x38792),f822(f822(f143(x38791),x38793),x38794))),f822(f183(f887(x38791)),x38792)),x38793)
% 218.59/218.71 [3902]E(f822(f299(x39021,x39022,x39023),f822(f300(x39021,x39022,x39023),x39024)),f822(f822(f97(f892(x39022,a882)),x39024),f822(f299(x39021,x39022,x39023),f233(f892(x39021,a882)))))
% 218.59/218.71 [3921]P144(f822(f822(f318(x39211),f822(x39212,x39213)),f822(f299(x39214,x39211,x39212),f233(f892(x39214,a882)))))
% 218.59/218.71 [3929]E(f21(x39291,x39292,x39293,f822(a5,f822(a107,f822(a22,x39294)))),f822(f822(x39293,x39294),f21(x39291,x39292,x39293,x39294)))
% 218.59/218.71 [3933]E(f822(f822(f126(x39331),f161(x39331,x39332,x39333)),f822(f822(f143(x39331),x39333),x39334)),f822(f822(f143(x39331),x39333),f822(f822(f126(x39331),f161(x39331,x39332,x39333)),x39334)))
% 218.59/218.71 [3935]E(f822(f822(f245(x39351,x39352),f822(f164(x39351),x39353)),f822(f18(f892(x39352,a882),x39351),f822(f164(x39352),x39354))),f822(f164(f891(x39351,x39352)),f58(x39351,x39352,x39353,x39354)))
% 218.59/218.71 [3947]E(f147(x39471,x39472,f822(f822(f143(x39471),x39473),x39474)),f822(f822(f79(a885),f822(f822(f79(a885),f822(x39472,x39473)),f147(x39471,x39472,x39474))),f822(a107,f2(a885))))
% 218.59/218.71 [3960]E(f177(f887(x39601),f822(f822(f143(x39601),x39602),x39603),f822(f822(f9(a885,f887(x39601),f887(x39601)),f130(x39601)),x39603),x39604),f822(f822(f130(x39601),x39604),f822(f822(f143(x39601),x39602),x39603)))
% 218.59/218.71 [3961]P26(x39611,f891(x39612,x39611),f320(x39613,x39614,x39612,x39611),f822(f822(f38(x39612,f892(x39611,a882)),x39614),x39613))
% 218.59/218.71 [3970]E(f822(f822(f3(f892(x39701,a882)),f822(f822(f3(f892(x39701,a882)),x39702),x39703)),f822(f822(f298(x39701),x39704),f182(f892(x39701,a882)))),f822(f822(f3(f892(x39701,a882)),x39702),f822(f822(f298(x39701),x39704),x39703)))
% 218.59/218.71 [3981]E(f822(f822(f175(f892(x39811,x39812),f892(x39811,x39812)),x39813),f72(x39812,x39812,x39811,x39814)),f72(x39812,x39812,x39811,f822(f822(f175(x39812,x39812),x39813),x39814)))
% 218.59/218.71 [4051]E(f822(f822(f822(f175(f887(x40511),f887(x40511)),x40512),f159(x40511)),f822(f822(f822(f175(f887(x40511),f887(x40511)),x40513),f159(x40511)),x40514)),f822(f822(f822(f175(f887(x40511),f887(x40511)),f822(f822(f79(a885),x40512),x40513)),f159(x40511)),x40514))
% 218.59/218.71 [4136]P144(f822(f822(f226(f892(x41361,a882)),f822(f164(x41361),f822(f822(f151(x41361,x41362),x41363),x41364))),f822(f822(f298(x41361),x41364),f822(f164(x41361),x41362))))
% 218.59/218.71 [4168]E(f822(f822(f38(f892(x41681,a882),f892(f891(x41681,x41682),a882)),x41683),f822(f822(f9(f892(x41681,a882),f892(x41681,f892(x41682,a882)),f892(f891(x41681,x41682),a882)),f245(x41681,x41682)),x41684)),f822(f822(f245(x41681,x41682),f36(f892(x41681,a882),x41683)),x41684))
% 218.59/218.71 [4204]E(f203(x42041,x42042,x42043,f822(f72(x42042,f892(a94,f892(a94,f892(f891(a94,a94),f892(a94,f886(x42042))))),x42041,f202(x42042)),x42044)),f204(x42041,x42042,x42044,x42043))
% 218.59/218.71 [4219]E(f199(x42191,x42192,x42193,f822(f72(x42192,f892(a94,f892(a94,f892(f891(a94,a94),f892(a94,f886(f889(x42192)))))),x42191,f198(x42192)),x42194)),f200(x42191,x42192,x42194,x42193))
% 218.59/218.71 [4224]P144(f822(f65(x42241,x42242,x42243,x42244,f182(f892(x42241,a882))),x42244))
% 218.59/218.71 [4263]E(f822(f822(f38(x42631,f892(x42632,a882)),x42633),f822(f822(f9(x42631,f892(x42632,a882),f892(x42632,a882)),f822(f822(f10(x42632,f892(f892(x42632,a882),f892(x42632,a882)),x42631),f298(x42632)),x42634)),f182(f892(x42632,a882)))),f822(f299(x42631,x42632,x42634),x42633))
% 218.59/218.71 [4270]P144(f822(f822(f226(f892(x42701,a882)),f822(f273(x42702,x42701),f822(f822(f97(f892(f891(x42702,x42701),a882)),x42703),x42704))),f822(f822(f97(f892(x42701,a882)),f822(f273(x42702,x42701),x42703)),f822(f273(x42702,x42701),x42704))))
% 218.59/218.71 [4271]P144(f822(f822(f226(f892(x42711,a882)),f822(f255(x42711,x42712),f822(f822(f97(f892(f891(x42711,x42712),a882)),x42713),x42714))),f822(f822(f97(f892(x42711,a882)),f822(f255(x42711,x42712),x42713)),f822(f255(x42711,x42712),x42714))))
% 218.59/218.71 [4331]P144(f822(f822(f226(f892(f891(x43311,x43312),a882)),f822(f299(x43312,f891(x43311,x43312),f320(x43313,x43314,x43311,x43312)),f822(f822(f38(x43311,f892(x43312,a882)),x43314),x43313))),f822(f822(f245(x43311,x43312),x43314),x43313)))
% 218.59/218.71 [4332]E(f822(f113(x43321,f891(x43321,x43322),x43323),f822(f822(f10(f892(x43322,f886(f891(x43321,x43322))),f886(f891(x43321,x43322)),x43321),f113(x43322,f891(x43321,x43322),x43324)),f822(f822(f10(f892(x43322,f891(x43321,x43322)),f892(x43322,f886(f891(x43321,x43322))),x43321),f822(f10(f891(x43321,x43322),f886(f891(x43321,x43322)),x43322),f122(f891(x43321,x43322)))),f243(x43321,x43322)))),f123(x43321,x43322,x43323,x43324))
% 218.59/218.71 [4333]E(f265(x43331,x43332,x43333,f822(f72(x43332,f892(a94,f892(a94,f892(f891(a94,a94),f891(f892(a94,f892(a882,f889(f886(x43332)))),f891(a94,a94))))),x43331,f267(x43332)),x43334)),f268(x43331,x43332,x43334,x43333))
% 218.59/218.71 [4372]E(f84(f891(x43721,x43722),f822(f248(x43721,x43722,a882),f822(f822(f9(x43721,f892(x43722,a882),f892(x43722,a882)),f822(f822(f10(f892(a882,a882),f892(f892(x43722,a882),f892(x43722,a882)),x43721),f10(a882,a882,x43722)),f822(f822(f10(a882,f892(a882,a882),x43721),a315),f822(a314,x43723)))),f822(a314,x43724)))),f822(f822(f243(x43721,x43722),x43723),x43724))
% 218.59/218.71 [4373]E(f89(f891(x43731,x43732),f822(f248(x43731,x43732,a882),f822(f822(f9(x43731,f892(x43732,a882),f892(x43732,a882)),f822(f822(f10(f892(a882,a882),f892(f892(x43732,a882),f892(x43732,a882)),x43731),f10(a882,a882,x43732)),f822(f822(f10(a882,f892(a882,a882),x43731),a315),f822(a314,x43733)))),f822(a314,x43734)))),f822(f822(f243(x43731,x43732),x43733),x43734))
% 218.59/218.71 [4444]E(f822(f822(f248(f887(x44441),f887(x44441),f891(f887(x44441),f887(x44441))),f822(f822(f20(f887(x44441),f892(f887(x44441),f891(f887(x44441),f887(x44441))),f892(f887(x44441),f891(f887(x44441),f887(x44441)))),f822(f822(f10(f892(f887(x44441),f892(f891(f887(x44441),f887(x44441)),f891(f887(x44441),f887(x44441)))),f892(f892(f887(x44441),f891(f887(x44441),f887(x44441))),f892(f887(x44441),f891(f887(x44441),f887(x44441)))),f887(x44441)),f20(f887(x44441),f891(f887(x44441),f887(x44441)),f891(f887(x44441),f887(x44441)))),f822(f822(f10(f892(f887(x44441),f891(f887(x44441),f887(x44441))),f892(f887(x44441),f892(f891(f887(x44441),f887(x44441)),f891(f887(x44441),f887(x44441)))),f887(x44441)),f822(f10(f891(f887(x44441),f887(x44441)),f892(f891(f887(x44441),f887(x44441)),f891(f887(x44441),f887(x44441))),f887(x44441)),f822(f90(f891(f887(x44441),f887(x44441))),f822(x44442,x44443)))),f822(f822(f10(f887(x44441),f892(f887(x44441),f891(f887(x44441),f887(x44441))),f887(x44441)),f243(f887(x44441),f887(x44441))),f822(f143(x44441),x44443))))),f822(f822(f9(f887(x44441),f892(f887(x44441),f887(x44441)),f892(f887(x44441),f891(f887(x44441),f887(x44441)))),f822(f822(f10(f892(f887(x44441),f891(f887(x44441),f887(x44441))),f892(f892(f887(x44441),f887(x44441)),f892(f887(x44441),f891(f887(x44441),f887(x44441)))),f887(x44441)),f10(f887(x44441),f891(f887(x44441),f887(x44441)),f887(x44441))),f243(f887(x44441),f887(x44441)))),f822(f143(x44441),x44443)))),f158(x44441,x44442,x44444)),f158(x44441,x44442,f822(f822(f143(x44441),x44443),x44444)))
% 218.59/218.71 [3698]E(f822(f822(f167(x36981),x36982),f822(f822(f167(x36981),x36983),x36984)),f822(f822(f167(x36981),f822(f822(f230(a885),x36982),x36983)),x36984))
% 218.59/218.71 [3699]E(f822(f822(f130(x36991),x36992),f822(f822(f130(x36991),x36993),x36994)),f822(f822(f130(x36991),f822(f822(f79(a885),x36992),x36993)),x36994))
% 218.59/218.71 [3710]E(f822(f822(f126(x37101),f822(f822(f143(x37101),x37102),x37103)),x37104),f822(f822(f143(x37101),x37102),f822(f822(f126(x37101),x37103),x37104)))
% 218.59/218.71 [3711]E(f822(f822(f126(x37111),f822(f822(f126(x37111),x37112),x37113)),x37114),f822(f822(f126(x37111),x37112),f822(f822(f126(x37111),x37113),x37114)))
% 218.59/218.71 [3793]E(f822(f822(f156(x37931),f822(f822(f143(x37931),x37932),x37933)),x37934),f177(x37931,x37932,f822(f156(x37931),x37933),x37934))
% 218.59/218.71 [3802]E(f822(f822(f175(x38021,x38021),x38022),f822(f822(f175(x38021,x38021),x38023),x38024)),f822(f822(f175(x38021,x38021),f822(f822(f80(a885),x38023),x38022)),x38024))
% 218.59/218.71 [3829]E(f822(f822(f96(f892(x38291,a882)),x38292),f822(f822(f298(x38291),x38293),x38294)),f822(f822(f298(x38291),x38293),f822(f822(f96(f892(x38291,a882)),x38292),x38294)))
% 218.59/218.71 [3844]E(f822(f822(f822(f175(x38441,x38441),x38442),x38443),f822(x38443,x38444)),f822(x38443,f822(f822(f822(f175(x38441,x38441),x38442),x38443),x38444)))
% 218.59/218.71 [3852]E(f822(f822(f278(x38521,x38522,x38523),f182(f892(f891(x38521,x38522),a882))),x38524),f182(f892(f891(x38521,x38523),a882)))
% 218.59/218.71 [3867]E(f822(f822(f96(f892(x38671,a882)),f822(f822(f298(x38671),x38672),x38673)),x38674),f822(f822(f298(x38671),x38672),f822(f822(f96(f892(x38671,a882)),x38673),x38674)))
% 218.59/218.71 [3886]E(f822(f34(f891(x38861,x38862)),f822(f822(f245(x38861,x38862),x38863),f822(f18(f892(x38862,a882),x38861),x38864))),f822(f822(f80(a885),f822(f34(x38861),x38863)),f822(f34(x38862),x38864)))
% 218.59/218.71 [3893]E(f822(f822(f97(f892(x38931,a882)),f822(f822(f298(x38931),x38932),x38933)),f822(f822(f298(x38931),x38932),x38934)),f822(f822(f298(x38931),x38932),f822(f822(f97(f892(x38931,a882)),x38933),x38934)))
% 218.59/218.71 [3906]E(f822(f822(f96(f892(x39061,a882)),x39062),f822(f822(f96(f892(x39061,a882)),x39063),x39064)),f822(f822(f96(f892(x39061,a882)),x39063),f822(f822(f96(f892(x39061,a882)),x39062),x39064)))
% 218.59/218.71 [3907]E(f822(f822(f97(f892(x39071,a882)),x39072),f822(f822(f97(f892(x39071,a882)),x39073),x39074)),f822(f822(f97(f892(x39071,a882)),x39073),f822(f822(f97(f892(x39071,a882)),x39072),x39074)))
% 218.59/218.71 [3917]E(f63(x39171,x39172,f822(f822(f10(x39172,f892(x39172,x39172),x39171),x39173),x39174)),f822(f64(x39172,x39171,x39173),x39174))
% 218.59/218.71 [3926]E(f171(x39261,f822(f822(f146(f887(x39262),f887(x39261)),f822(f146(x39262,x39261),x39263)),x39264)),f822(f822(f146(f887(x39262),f887(x39261)),f822(f146(x39262,x39261),x39263)),f171(x39262,x39264)))
% 218.59/218.71 [3944]E(f822(f134(f887(x39441),f887(x39441),f126(x39441),f108(x39441)),f822(f822(f146(x39442,f887(x39441)),x39443),x39444)),f155(x39442,x39441,x39443,x39444))
% 218.59/218.71 [3998]E(f822(f72(x39981,x39981,x39981,f822(f822(f175(x39981,x39981),x39982),x39983)),f822(f822(f175(x39981,x39981),x39984),x39983)),f822(f822(f175(x39981,x39981),f822(f822(f79(a885),x39982),x39984)),x39983))
% 218.59/218.71 [4021]E(f822(f822(f97(f892(x40211,a882)),f822(f822(f3(f892(x40211,a882)),x40212),x40213)),f822(f822(f3(f892(x40211,a882)),x40212),x40214)),f822(f822(f3(f892(x40211,a882)),x40212),f822(f822(f96(f892(x40211,a882)),x40213),x40214)))
% 218.59/218.71 [4022]E(f822(f822(f96(f892(x40221,a882)),f822(f822(f3(f892(x40221,a882)),x40222),x40223)),f822(f822(f3(f892(x40221,a882)),x40222),x40224)),f822(f822(f3(f892(x40221,a882)),x40222),f822(f822(f97(f892(x40221,a882)),x40223),x40224)))
% 218.59/218.71 [4023]E(f822(f822(f97(f892(x40231,a882)),f822(f822(f96(f892(x40231,a882)),x40232),x40233)),f822(f822(f96(f892(x40231,a882)),x40232),x40234)),f822(f822(f96(f892(x40231,a882)),x40232),f822(f822(f97(f892(x40231,a882)),x40233),x40234)))
% 218.59/218.71 [4024]E(f822(f822(f3(f892(x40241,a882)),f822(f822(f97(f892(x40241,a882)),x40242),x40243)),f822(f822(f97(f892(x40241,a882)),x40242),x40244)),f822(f822(f97(f892(x40241,a882)),x40242),f822(f822(f3(f892(x40241,a882)),x40243),x40244)))
% 218.59/218.71 [4025]E(f822(f822(f96(f892(x40251,a882)),f822(f822(f97(f892(x40251,a882)),x40252),x40253)),f822(f822(f97(f892(x40251,a882)),x40252),x40254)),f822(f822(f97(f892(x40251,a882)),x40252),f822(f822(f96(f892(x40251,a882)),x40253),x40254)))
% 218.59/218.71 [4030]E(f822(f34(f891(x40301,x40302)),f822(f822(f245(x40301,x40302),f822(f822(f298(x40301),x40303),f182(f892(x40301,a882)))),f822(f18(f892(x40302,a882),x40301),x40304))),f822(f34(x40302),x40304))
% 218.59/218.71 [4065]E(f822(f822(f39(x40651,f892(x40652,a882)),x40653),f822(f822(f10(f892(x40652,a882),f892(x40652,a882),x40651),f78(f892(x40652,a882))),x40654)),f822(f78(f892(x40652,a882)),f822(f822(f38(x40651,f892(x40652,a882)),x40653),x40654)))
% 218.59/218.71 [4066]E(f822(f822(f38(x40661,f892(x40662,a882)),x40663),f822(f822(f10(f892(x40662,a882),f892(x40662,a882),x40661),f78(f892(x40662,a882))),x40664)),f822(f78(f892(x40662,a882)),f822(f822(f39(x40661,f892(x40662,a882)),x40663),x40664)))
% 218.59/218.71 [4082]E(f822(f822(f278(x40821,x40821,x40821),f822(f822(f175(f891(x40821,x40821),a882),x40822),x40823)),f822(f822(f175(f891(x40821,x40821),a882),x40824),x40823)),f822(f822(f175(f891(x40821,x40821),a882),f822(f822(f79(a885),x40822),x40824)),x40823))
% 218.59/218.71 [4112]E(f822(f822(f39(x41121,f892(f892(x41122,a882),a882)),x41123),f822(f822(f10(f892(x41122,a882),f892(f892(x41122,a882),a882),x41121),f297(x41122)),x41124)),f822(f297(x41122),f822(f822(f39(x41121,f892(x41122,a882)),x41123),x41124)))
% 218.59/218.71 [4141]E(f822(f822(f38(f892(x41411,a882),f892(x41412,a882)),x41413),f822(f822(f9(f892(x41411,a882),f892(x41411,f892(x41412,a882)),f892(x41412,a882)),f38(x41411,f892(x41412,a882))),x41414)),f822(f822(f38(x41411,f892(x41412,a882)),f36(f892(x41411,a882),x41413)),x41414))
% 218.59/218.71 [4142]E(f822(f822(f39(f892(x41421,a882),f892(x41422,a882)),x41423),f822(f822(f9(f892(x41421,a882),f892(x41421,f892(x41422,a882)),f892(x41422,a882)),f39(x41421,f892(x41422,a882))),x41424)),f822(f822(f39(x41421,f892(x41422,a882)),f36(f892(x41421,a882),x41423)),x41424))
% 218.59/218.71 [4147]E(f822(f822(f146(x41471,x41472),x41473),f822(f134(f887(x41471),f887(x41471),f126(x41471),f108(x41471)),x41474)),f822(f134(f887(x41472),f887(x41472),f126(x41472),f108(x41472)),f822(f822(f146(f887(x41471),f887(x41472)),f822(f146(x41471,x41472),x41473)),x41474)))
% 218.59/218.71 [4149]E(f177(f887(x41491),f108(x41491),f822(f822(f10(f887(x41491),f887(x41491),a885),f822(f143(x41491),x41492)),f822(f822(f9(a885,f887(x41491),f887(x41491)),f167(x41491)),x41493)),x41494),f822(f822(f167(x41491),x41494),f822(f822(f143(x41491),x41492),x41493)))
% 218.59/218.71 [4187]P144(f822(f822(f226(f892(x41871,a882)),f822(f299(x41872,x41871,x41873),f822(f300(x41872,x41871,x41873),x41874))),x41874))
% 218.59/218.71 [4189]E(f822(f299(f891(x41891,x41892),f891(x41892,x41891),f822(f248(x41891,x41892,f891(x41892,x41891)),f822(f9(x41892,x41891,f891(x41892,x41891)),f243(x41892,x41891)))),f822(f822(f245(x41891,x41892),x41893),f822(f18(f892(x41892,a882),x41891),x41894))),f822(f822(f245(x41892,x41891),x41894),f822(f18(f892(x41891,a882),x41892),x41893)))
% 218.59/218.71 [4198]E(f822(f822(f38(x41981,f892(x41982,a882)),x41983),f822(f822(f10(f892(x41981,a882),f892(x41982,a882),x41981),f274(x41981,x41982,x41984)),f822(f822(f9(x41981,f892(x41981,a882),f892(x41981,a882)),f298(x41981)),f182(f892(x41981,a882))))),f822(f274(x41981,x41982,x41984),x41983))
% 218.59/218.71 [4199]E(f822(f822(f38(x41991,f892(x41992,a882)),x41993),f822(f822(f10(f892(x41991,a882),f892(x41992,a882),x41991),f300(x41992,x41991,x41994)),f822(f822(f9(x41991,f892(x41991,a882),f892(x41991,a882)),f298(x41991)),f182(f892(x41991,a882))))),f822(f300(x41992,x41991,x41994),x41993))
% 218.59/218.71 [4284]E(f822(f822(f97(f892(x42841,a882)),f822(f822(f97(f892(x42841,a882)),f822(f822(f96(f892(x42841,a882)),x42842),x42843)),f822(f822(f96(f892(x42841,a882)),x42843),x42844))),f822(f822(f96(f892(x42841,a882)),x42844),x42842)),f822(f822(f96(f892(x42841,a882)),f822(f822(f96(f892(x42841,a882)),f822(f822(f97(f892(x42841,a882)),x42842),x42843)),f822(f822(f97(f892(x42841,a882)),x42843),x42844))),f822(f822(f97(f892(x42841,a882)),x42844),x42842)))
% 218.59/218.71 [4346]E(f822(f134(f887(x43461),f887(x43461),f126(x43461),f108(x43461)),f822(f822(f146(x43462,f887(x43461)),f822(f822(f9(x43462,f887(x43461),f887(x43461)),f822(f822(f10(x43461,f892(f887(x43461),f887(x43461)),x43462),f143(x43461)),x43463)),f108(x43461))),x43464)),f822(f822(f146(x43462,x43461),x43463),x43464))
% 218.59/218.71 [4356]E(f822(f822(f85(a1,x43561),f822(f99(a1),f822(f822(f79(a1),x43562),a92))),f822(f822(f20(a1,x43561,x43561),f822(f822(f9(a1,x43561,f892(x43561,x43561)),f822(f822(f10(a882,f892(x43561,f892(x43561,x43561)),a1),f90(x43561)),a187)),x43563)),f822(f822(f10(a885,x43561,a1),x43564),a100))),f177(x43561,x43563,x43564,f822(f99(a885),x43562)))
% 218.59/218.71 [4387]E(f822(f253(x43871),f822(f822(f10(f892(x43872,a882),a882,x43871),f86(x43872)),f822(f822(f10(f892(x43872,a882),f892(x43872,a882),x43871),f822(f20(x43872,a882,a882),f822(f822(f10(a882,f892(a882,a882),x43872),a315),f822(f822(f9(x43872,f892(x43872,a882),a882),f318(x43872)),x43873)))),f822(f9(x43872,x43871,a882),x43874)))),f822(f274(x43872,x43871,f822(f253(f891(x43872,x43871)),f822(f248(x43872,x43871,a882),x43874))),x43873))
% 218.59/218.71 [4542]~P144(f822(f822(f182(f892(x45421,f892(x45422,a882))),x45423),x45424))
% 218.59/218.71 [3855]E(f822(f822(f156(x38551),f822(f822(f126(x38551),x38552),x38553)),f822(f822(f79(a885),f822(f183(f887(x38551)),x38552)),x38554)),f822(f822(f156(x38551),x38553),x38554))
% 218.59/218.71 [3860]E(f822(f822(f130(x38601),x38602),f822(f822(f167(x38601),f822(f822(f79(a885),x38603),x38602)),x38604)),f822(f822(f167(x38601),x38603),f822(f822(f130(x38601),x38602),x38604)))
% 218.59/218.71 [3958]E(f822(f822(f96(f892(x39581,a882)),f822(f273(x39582,x39581),x39583)),f822(f273(x39582,x39581),x39584)),f822(f273(x39582,x39581),f822(f822(f96(f892(f891(x39582,x39581),a882)),x39583),x39584)))
% 218.59/218.71 [3959]E(f822(f822(f96(f892(x39591,a882)),f822(f255(x39591,x39592),x39593)),f822(f255(x39591,x39592),x39594)),f822(f255(x39591,x39592),f822(f822(f96(f892(f891(x39591,x39592),a882)),x39593),x39594)))
% 218.59/218.71 [3964]E(f822(f822(f3(f892(x39641,a882)),f822(f822(f97(f892(x39641,a882)),x39642),x39643)),x39644),f822(f822(f97(f892(x39641,a882)),x39642),f822(f822(f3(f892(x39641,a882)),x39643),x39644)))
% 218.59/218.71 [3965]E(f822(f822(f96(f892(x39651,a882)),f822(f822(f96(f892(x39651,a882)),x39652),x39653)),x39654),f822(f822(f96(f892(x39651,a882)),x39652),f822(f822(f96(f892(x39651,a882)),x39653),x39654)))
% 218.59/218.71 [3966]E(f822(f822(f97(f892(x39661,a882)),f822(f822(f97(f892(x39661,a882)),x39662),x39663)),x39664),f822(f822(f97(f892(x39661,a882)),x39662),f822(f822(f97(f892(x39661,a882)),x39663),x39664)))
% 218.59/218.71 [4000]E(f822(f822(f96(f892(f891(x40001,x40002),a882)),f822(f275(x40002,x40001),x40003)),f822(f275(x40002,x40001),x40004)),f822(f275(x40002,x40001),f822(f822(f96(f892(f891(x40002,x40001),a882)),x40003),x40004)))
% 218.59/218.71 [4001]E(f822(f822(f97(f892(f891(x40011,x40012),a882)),f822(f275(x40012,x40011),x40013)),f822(f275(x40012,x40011),x40014)),f822(f275(x40012,x40011),f822(f822(f97(f892(f891(x40012,x40011),a882)),x40013),x40014)))
% 218.59/218.71 [4014]E(f822(f822(f96(f892(x40141,f892(x40142,a882))),f234(x40142,x40141,x40143)),f234(x40142,x40141,x40144)),f234(x40142,x40141,f822(f822(f96(f892(x40142,f892(x40141,a882))),x40143),x40144)))
% 218.59/218.71 [4015]E(f822(f822(f97(f892(x40151,f892(x40152,a882))),f234(x40152,x40151,x40153)),f234(x40152,x40151,x40154)),f234(x40152,x40151,f822(f822(f97(f892(x40152,f892(x40151,a882))),x40153),x40154)))
% 218.59/218.71 [4069]E(f822(f822(f96(f892(x40691,a882)),f822(f822(f3(f892(x40691,a882)),x40692),x40693)),f822(f822(f3(f892(x40691,a882)),x40694),x40693)),f822(f822(f3(f892(x40691,a882)),f822(f822(f96(f892(x40691,a882)),x40692),x40694)),x40693))
% 218.59/218.71 [4070]E(f822(f822(f97(f892(x40701,a882)),f822(f822(f96(f892(x40701,a882)),x40702),x40703)),f822(f822(f96(f892(x40701,a882)),x40704),x40703)),f822(f822(f96(f892(x40701,a882)),f822(f822(f97(f892(x40701,a882)),x40702),x40704)),x40703))
% 218.59/218.71 [4071]E(f822(f822(f3(f892(x40711,a882)),f822(f822(f97(f892(x40711,a882)),x40712),x40713)),f822(f822(f97(f892(x40711,a882)),x40714),x40713)),f822(f822(f97(f892(x40711,a882)),f822(f822(f3(f892(x40711,a882)),x40712),x40714)),x40713))
% 218.59/218.71 [4072]E(f822(f822(f96(f892(x40721,a882)),f822(f822(f97(f892(x40721,a882)),x40722),x40723)),f822(f822(f97(f892(x40721,a882)),x40724),x40723)),f822(f822(f97(f892(x40721,a882)),f822(f822(f96(f892(x40721,a882)),x40722),x40724)),x40723))
% 218.59/218.71 [4073]E(f822(f822(f3(f892(x40731,a882)),f822(f822(f97(f892(x40731,a882)),x40732),x40733)),f822(f822(f97(f892(x40731,a882)),x40734),x40733)),f822(f822(f3(f892(x40731,a882)),f822(f822(f97(f892(x40731,a882)),x40732),x40733)),x40734))
% 218.59/218.71 [4085]E(f822(f822(f3(f892(x40851,a882)),f822(f822(f3(f892(x40851,a882)),x40852),f822(f822(f298(x40851),x40853),f182(f892(x40851,a882))))),x40854),f822(f822(f3(f892(x40851,a882)),x40852),f822(f822(f298(x40851),x40853),x40854)))
% 218.59/218.71 [4138]E(f822(f822(f96(f892(x41381,a882)),f822(f822(f298(x41381),x41382),f822(f822(f298(x41381),x41383),f182(f892(x41381,a882))))),f822(f270(x41381),x41384)),f822(f270(x41381),f822(f822(f298(f891(x41381,x41381)),f822(f822(f243(x41381,x41381),x41382),x41383)),x41384)))
% 218.59/218.71 [4163]E(f822(f822(f38(a885,f892(x41631,a882)),f822(f290(a885),x41632)),f822(f822(f10(a885,f892(x41631,a882),a885),x41633),f822(f822(f9(a885,a885,a885),f79(a885)),x41634))),f822(f822(f38(a885,f892(x41631,a882)),f292(a885,x41634,f822(f822(f79(a885),x41632),x41634))),x41633))
% 218.59/218.71 [4164]E(f166(x41641,f822(f274(x41641,x41641,x41642),f822(f822(f298(x41641),x41643),f182(f892(x41641,a882)))),f822(f274(f887(x41641),f887(x41641),f150(x41641,x41642)),f822(f822(f298(f887(x41641)),x41644),f182(f892(f887(x41641),a882))))),f822(f274(f887(x41641),f887(x41641),f150(x41641,x41642)),f822(f822(f298(f887(x41641)),f822(f822(f143(x41641),x41643),x41644)),f182(f892(f887(x41641),a882)))))
% 218.59/218.71 [4226]E(f822(f253(x42261),f822(f822(f9(x42261,f892(x42262,a882),a882),f822(f822(f10(x42262,f892(f892(x42262,a882),a882),x42261),f318(x42262)),x42263)),x42264)),f822(f300(x42261,x42262,x42263),x42264))
% 218.59/218.71 [4316]E(f822(f253(x43161),f822(f822(f9(x43161,f892(f891(x43162,x43161),a882),a882),f822(f822(f10(f891(x43162,x43161),f892(f892(f891(x43162,x43161),a882),a882),x43161),f318(f891(x43162,x43161))),f822(f243(x43162,x43161),x43163))),x43164)),f822(f274(x43162,x43161,x43164),f822(f822(f298(x43162),x43163),f182(f892(x43162,a882)))))
% 218.59/218.71 [4330]E(f822(f822(f146(f891(x43301,a885),x43301),f242(x43301,a885)),f822(f128(f891(x43301,a885),f822(f822(f10(a885,a882,f891(x43301,a885)),x43302),f822(f822(f10(a885,a885,f891(x43301,a885)),a107),f247(x43301,a885)))),f822(f822(f173(x43301,a885),x43303),x43304))),f822(f822(f146(f891(x43301,a885),x43301),f242(x43301,a885)),f822(f128(f891(x43301,a885),f822(f822(f10(a885,a882,f891(x43301,a885)),x43302),f247(x43301,a885))),f822(f822(f173(x43301,a885),x43303),f822(f822(f146(a885,a885),a107),x43304)))))
% 218.59/218.71 [4339]P144(f822(f822(f226(f892(f892(x43391,a882),a882)),f822(f822(f38(x43392,f892(f892(x43391,a882),a882)),x43393),f822(f822(f10(f892(x43391,a882),f892(f892(x43391,a882),a882),x43392),f297(x43391)),x43394))),f822(f297(x43391),f822(f822(f38(x43392,f892(x43391,a882)),x43393),x43394))))
% 218.59/218.71 [4379]E(f822(f822(f85(a1,x43791),f822(f99(a1),f822(f822(f79(a1),x43792),a92))),f822(f822(f20(a1,x43791,x43791),f822(f822(f9(a1,x43791,f892(x43791,x43791)),f822(f822(f10(a882,f892(x43791,f892(x43791,x43791)),a1),f90(x43791)),a187)),x43793)),f822(f822(f20(a1,x43791,x43791),f822(f822(f10(a885,f892(x43791,x43791),a1),x43794),a100)),f822(f822(f10(a885,x43791,a1),f176(x43791,x43793,x43794)),a100)))),f822(f176(x43791,x43793,x43794),f822(f99(a885),x43792)))
% 218.59/218.71 [4403]E(f822(f253(f891(x44031,x44032)),f822(f248(x44031,x44032,a882),f822(f822(f9(x44031,f892(x44032,a882),f892(x44032,a882)),f822(f822(f10(f892(a882,a882),f892(f892(x44032,a882),f892(x44032,a882)),x44031),f10(a882,a882,x44032)),f822(f822(f10(a882,f892(a882,a882),x44031),a315),f822(f822(f9(x44031,f892(x44031,a882),a882),f318(x44031)),x44033)))),f822(f822(f9(x44032,f892(x44032,a882),a882),f318(x44032)),x44034)))),f223(x44031,x44032,x44033,x44034))
% 218.59/218.71 [4439]E(f822(f822(f38(x44391,f892(f891(x44391,x44392),a882)),x44393),f822(f822(f20(x44391,f892(x44392,f892(f891(x44391,x44392),a882)),f892(f891(x44391,x44392),a882)),f822(f822(f10(f892(x44392,a882),f892(f892(x44392,f892(f891(x44391,x44392),a882)),f892(f891(x44391,x44392),a882)),x44391),f38(x44392,f892(f891(x44391,x44392),a882))),x44394)),f822(f822(f9(x44391,f892(f891(x44391,x44392),a882),f892(x44392,f892(f891(x44391,x44392),a882))),f822(f822(f10(f892(x44392,f892(f892(f891(x44391,x44392),a882),f892(f891(x44391,x44392),a882))),f892(f892(f891(x44391,x44392),a882),f892(x44392,f892(f891(x44391,x44392),a882))),x44391),f9(x44392,f892(f891(x44391,x44392),a882),f892(f891(x44391,x44392),a882))),f822(f822(f10(f892(x44392,f891(x44391,x44392)),f892(x44392,f892(f892(f891(x44391,x44392),a882),f892(f891(x44391,x44392),a882))),x44391),f822(f10(f891(x44391,x44392),f892(f892(f891(x44391,x44392),a882),f892(f891(x44391,x44392),a882)),x44392),f298(f891(x44391,x44392)))),f243(x44391,x44392)))),f182(f892(f891(x44391,x44392),a882))))),f822(f822(f245(x44391,x44392),x44393),x44394))
% 218.59/218.71 [4009]E(f822(f822(f126(x40091),f822(f822(f167(x40091),x40092),x40093)),f822(f822(f167(x40091),f822(f822(f3(a885),x40092),f822(f183(f887(x40091)),x40093))),x40094)),f822(f822(f167(x40091),x40092),f822(f822(f126(x40091),x40093),x40094)))
% 218.59/218.71 [4010]E(f822(f822(f126(x40101),f822(f822(f130(x40101),x40102),x40103)),f822(f822(f130(x40101),f822(f822(f3(a885),x40102),f822(f183(f887(x40101)),x40103))),x40104)),f822(f822(f130(x40101),x40102),f822(f822(f126(x40101),x40103),x40104)))
% 218.59/218.71 [4059]E(f822(f822(f79(a885),f822(f822(f80(a885),x40591),x40592)),f822(f822(f79(a885),f822(f822(f80(a885),x40593),x40592)),x40594)),f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f79(a885),x40591),x40593)),x40592)),x40594))
% 218.59/218.71 [4250]P144(f822(f822(f226(f892(x42501,a882)),f822(f822(f3(f892(x42501,a882)),f822(f273(x42502,x42501),x42503)),f822(f273(x42502,x42501),x42504))),f822(f273(x42502,x42501),f822(f822(f3(f892(f891(x42502,x42501),a882)),x42503),x42504))))
% 218.59/218.71 [4251]P144(f822(f822(f226(f892(x42511,a882)),f822(f822(f3(f892(x42511,a882)),f822(f255(x42511,x42512),x42513)),f822(f255(x42511,x42512),x42514))),f822(f255(x42511,x42512),f822(f822(f3(f892(f891(x42511,x42512),a882)),x42513),x42514))))
% 218.59/218.71 [4358]E(f822(f822(f79(a1),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x43581),x43582)),f182(f892(f891(a885,a885),a882)))))),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x43583),x43584)),f182(f892(f891(a885,a885),a882)))))),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),f822(f822(f79(a885),x43581),x43583)),f822(f822(f79(a885),x43582),x43584))),f182(f892(f891(a885,a885),a882))))))
% 218.59/218.71 [4398]E(f822(f822(f80(a1),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x43981),x43982)),f182(f892(f891(a885,a885),a882)))))),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x43983),x43984)),f182(f892(f891(a885,a885),a882)))))),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),f822(f822(f79(a885),f822(f822(f80(a885),x43981),x43983)),f822(f822(f80(a885),x43982),x43984))),f822(f822(f79(a885),f822(f822(f80(a885),x43981),x43984)),f822(f822(f80(a885),x43982),x43983)))),f182(f892(f891(a885,a885),a882))))))
% 218.59/218.71 [4419]E(f822(f253(x44191),f822(f822(f10(f892(x44192,a882),a882,x44191),f87(x44192)),f822(f822(f10(f892(x44192,a882),f892(x44192,a882),x44191),f822(f20(x44192,a882,a882),f822(f822(f10(a882,f892(a882,a882),x44192),a319),f822(f822(f9(x44192,f892(x44192,a882),a882),f318(x44192)),x44193)))),f822(f822(f9(x44191,f892(x44192,f892(x44191,a882)),f892(x44192,a882)),f822(f822(f10(f892(f892(x44191,a882),a882),f892(f892(x44192,f892(x44191,a882)),f892(x44192,a882)),x44191),f10(f892(x44191,a882),a882,x44192)),f318(x44191))),x44194)))),f822(f822(f39(x44192,f892(x44191,a882)),x44193),x44194))
% 218.59/218.71 [4451]E(f822(f822(f278(x44511,x44511,x44511),f822(f822(f298(f891(x44511,x44511)),f822(f822(f243(x44511,x44511),x44512),x44513)),x44514)),f296(x44511,f822(f822(f298(f891(x44511,x44511)),f822(f822(f243(x44511,x44511),x44512),x44513)),x44514))),f822(f822(f96(f892(f891(x44511,x44511),a882)),f822(f822(f278(x44511,x44511,x44511),x44514),f296(x44511,x44514))),f822(f253(f891(x44511,x44511)),f822(f248(x44511,x44511,a882),f822(f822(f9(x44511,f892(x44511,a882),f892(x44511,a882)),f822(f822(f10(f892(a882,a882),f892(f892(x44511,a882),f892(x44511,a882)),x44511),f10(a882,a882,x44511)),f822(f822(f10(a882,f892(a882,a882),x44511),a315),f822(f822(f9(x44511,f892(f891(x44511,x44511),a882),a882),f822(f822(f10(f891(x44511,x44511),f892(f892(f891(x44511,x44511),a882),a882),x44511),f318(f891(x44511,x44511))),f822(f822(f9(x44511,x44511,f891(x44511,x44511)),f243(x44511,x44511)),x44512))),f296(x44511,x44514))))),f822(f822(f9(x44511,f892(f891(x44511,x44511),a882),a882),f822(f822(f10(f891(x44511,x44511),f892(f892(f891(x44511,x44511),a882),a882),x44511),f318(f891(x44511,x44511))),f822(f243(x44511,x44511),x44513))),f296(x44511,x44514)))))))
% 218.59/218.71 [4252]E(f822(f128(x42521,f822(f822(f20(x42521,a882,a882),f822(f822(f10(a882,f892(a882,a882),x42521),a315),x42522)),x42523)),x42524),f822(f128(x42521,x42523),f822(f128(x42521,x42522),x42524)))
% 218.59/218.71 [4352]E(f822(f822(f126(x43521),f822(f822(f822(f90(f887(x43521)),f822(f822(f318(a885),f2(a885)),x43522)),f822(f822(f143(x43521),x43523),f108(x43521))),f108(x43521))),f168(x43521,x43524,f822(f253(a885),f822(f822(f9(a885,f892(a885,a882),a882),f822(f822(f10(a885,f892(f892(a885,a882),a882),a885),f318(a885)),a107)),x43522)))),f168(x43521,f822(f822(f143(x43521),x43523),x43524),x43522))
% 218.59/218.71 [4447]E(f822(f253(f891(x44471,x44472)),f822(f822(f10(f892(a885,a882),a882,f891(x44471,x44472)),f86(a885)),f822(f822(f9(f891(x44471,x44472),f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),f891(x44471,x44472)),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),f891(x44471,x44472)),f822(f10(a882,f892(a882,a882),a885),a315)),f822(f822(f9(f891(x44471,x44472),f892(a885,f891(x44471,x44472)),f892(a885,a882)),f822(f822(f10(f892(f891(x44471,x44472),a882),f892(f892(a885,f891(x44471,x44472)),f892(a885,a882)),f891(x44471,x44472)),f10(f891(x44471,x44472),a882,a885)),a314)),f822(f822(f20(a885,x44472,f891(x44471,x44472)),f822(f822(f10(x44471,f892(x44472,f891(x44471,x44472)),a885),f243(x44471,x44472)),f822(f156(x44471),x44473))),f822(f156(x44472),x44474)))))),f822(f822(f9(a885,a885,a882),f227(a885)),f822(f822(f230(a885),f822(f183(f887(x44471)),x44473)),f822(f183(f887(x44472)),x44474)))))),f822(f164(f891(x44471,x44472)),f822(f822(f173(x44471,x44472),x44473),x44474)))
% 218.59/218.71 [4371]E(f822(f253(f891(x43711,x43712)),f822(f248(x43711,x43712,a882),f822(f822(f9(x43711,f892(x43712,a882),f892(x43712,a882)),f822(f822(f10(f892(a882,a882),f892(f892(x43712,a882),f892(x43712,a882)),x43711),f10(a882,a882,x43712)),f822(f822(f10(a882,f892(a882,a882),x43711),a315),x43713))),x43714))),f822(f822(f245(x43711,x43712),f822(f253(x43711),x43713)),f822(f18(f892(x43712,a882),x43711),f822(f253(x43712),x43714))))
% 218.59/218.71 [4374]E(f822(f253(f891(x43741,x43742)),f822(f248(x43741,x43742,a882),f822(f822(f20(x43741,f892(x43742,a882),f892(x43742,a882)),f822(f822(f10(f892(a882,a882),f892(f892(x43742,a882),f892(x43742,a882)),x43741),f10(a882,a882,x43742)),f822(f822(f10(a882,f892(a882,a882),x43741),a315),x43743))),x43744))),f822(f822(f245(x43741,x43742),f822(f253(x43741),x43743)),f822(f822(f10(f892(x43742,a882),f892(x43742,a882),x43741),f253(x43742)),x43744)))
% 218.59/218.71 [4386]E(f822(f253(x43861),f822(f822(f10(f892(x43862,a882),a882,x43861),f87(x43862)),f822(f822(f10(f892(x43862,a882),f892(x43862,a882),x43861),f822(f20(x43862,a882,a882),f822(f822(f10(a882,f892(a882,a882),x43862),a319),f822(f822(f9(x43862,f892(x43862,a882),a882),f318(x43862)),x43863)))),x43864))),f822(f822(f39(x43862,f892(x43861,a882)),x43863),f822(f822(f10(f892(x43861,a882),f892(x43861,a882),x43862),f253(x43861)),f822(f9(x43861,x43862,a882),x43864))))
% 218.59/218.71 [4431]E(f822(f822(f146(f891(x44311,a885),x44311),f242(x44311,a885)),f822(f128(f891(x44311,a885),f822(f822(f9(f891(x44311,a885),f892(a885,a882),a882),f822(f822(f10(a885,f892(f892(a885,a882),a882),f891(x44311,a885)),f318(a885)),f247(x44311,a885))),x44312)),f822(f822(f173(x44311,a885),x44313),f131(a885,f822(f291(a885,x44314),f822(f822(f79(a885),x44314),f822(f183(f887(x44311)),x44313))))))),f822(f822(f146(f891(x44311,a885),x44311),f242(x44311,a885)),f822(f128(f891(x44311,a885),f822(f822(f9(f891(x44311,a885),f892(a885,a882),a882),f822(f822(f10(a885,f892(f892(a885,a882),a882),f891(x44311,a885)),f318(a885)),f822(f822(f9(f891(x44311,a885),a885,a885),f822(f822(f10(a885,f892(a885,a885),f891(x44311,a885)),f79(a885)),f247(x44311,a885))),x44314))),x44312)),f822(f822(f173(x44311,a885),x44313),f131(a885,f822(f291(a885,f2(a885)),f822(f183(f887(x44311)),x44313)))))))
% 218.59/218.71 [4432]E(f822(a107,f822(f822(f181(a885),f822(f183(f887(x44321)),x44322)),f822(f134(a885,f887(x44323),f822(f9(f887(x44323),a885,a885),f822(f822(f10(a885,f892(a885,a885),f887(x44323)),f181(a885)),f822(f822(f9(f887(x44323),a885,a885),f822(f822(f10(a885,f892(a885,a885),f887(x44323)),f3(a885)),f183(f887(x44323)))),f822(a107,f2(a885))))),f2(a885)),f822(f160(f887(x44323)),f822(f128(f887(x44323),f822(f822(f10(a882,a882,f887(x44323)),a311),f822(f822(f9(f887(x44323),f887(x44323),a882),a314),f108(x44323)))),x44324))))),f822(f822(f181(a885),f822(a107,f822(f183(f887(x44321)),x44322))),f822(f134(a885,f887(x44323),f822(f9(f887(x44323),a885,a885),f822(f822(f10(a885,f892(a885,a885),f887(x44323)),f181(a885)),f183(f887(x44323)))),f2(a885)),f822(f160(f887(x44323)),x44324))))
% 218.59/218.71 [4385]E(f822(f822(f126(x43851),f168(x43851,x43852,x43853)),f168(x43851,x43854,f822(f253(a885),f822(f822(f9(a885,f892(a885,a882),a882),f822(f822(f10(a885,f892(f892(a885,a882),a882),a885),f318(a885)),f822(f822(f9(a885,a885,a885),f79(a885)),f822(f183(f887(x43851)),x43852)))),x43853)))),f168(x43851,f822(f822(f126(x43851),x43852),x43854),x43853))
% 218.59/218.71 [4433]E(f36(f892(x44331,a882),f822(f253(f892(x44331,a882)),f822(f822(f10(f892(x44332,a882),a882,f892(x44331,a882)),f86(x44332)),f822(f822(f10(f892(x44332,a882),f892(x44332,a882),f892(x44331,a882)),f822(f20(x44332,a882,a882),f822(f822(f10(a882,f892(a882,a882),x44332),a315),f822(f822(f9(x44332,f892(x44332,a882),a882),f318(x44332)),x44333)))),f822(f822(f9(f892(x44331,a882),f892(x44332,f892(x44331,a882)),f892(x44332,a882)),f822(f822(f10(f892(f892(x44331,a882),a882),f892(f892(x44332,f892(x44331,a882)),f892(x44332,a882)),f892(x44331,a882)),f10(f892(x44331,a882),a882,x44332)),a314)),x44334))))),f822(f822(f38(x44332,f892(x44331,a882)),x44333),x44334))
% 218.59/218.71 [4434]E(f37(f892(x44341,a882),f822(f253(f892(x44341,a882)),f822(f822(f10(f892(x44342,a882),a882,f892(x44341,a882)),f86(x44342)),f822(f822(f10(f892(x44342,a882),f892(x44342,a882),f892(x44341,a882)),f822(f20(x44342,a882,a882),f822(f822(f10(a882,f892(a882,a882),x44342),a315),f822(f822(f9(x44342,f892(x44342,a882),a882),f318(x44342)),x44343)))),f822(f822(f9(f892(x44341,a882),f892(x44342,f892(x44341,a882)),f892(x44342,a882)),f822(f822(f10(f892(f892(x44341,a882),a882),f892(f892(x44342,f892(x44341,a882)),f892(x44342,a882)),f892(x44341,a882)),f10(f892(x44341,a882),a882,x44342)),a314)),x44344))))),f822(f822(f39(x44342,f892(x44341,a882)),x44343),x44344))
% 218.59/218.71 [4441]E(f822(f822(f143(f887(x44411)),f822(f822(f143(x44411),x44412),f822(f134(f887(x44411),f887(x44411),f126(x44411),f108(x44411)),f822(f822(f146(f887(x44411),f887(x44411)),f148(f887(x44411),x44411,f108(x44411),f822(f822(f10(f887(x44411),f892(f887(x44411),f887(x44411)),x44411),f18(f887(x44411),f887(x44411))),f822(f822(f9(x44411,f887(x44411),f887(x44411)),f143(x44411)),f108(x44411))))),x44413)))),f171(x44411,f822(f822(f143(f887(x44411)),x44414),f822(f134(f887(f887(x44411)),f887(f887(x44411)),f126(f887(x44411)),f108(f887(x44411))),f822(f822(f146(f887(x44411),f887(f887(x44411))),f148(f887(f887(x44411)),x44411,f108(f887(x44411)),f822(f18(f892(f887(x44411),f887(f887(x44411))),x44411),f822(f822(f9(f887(x44411),f887(f887(x44411)),f887(f887(x44411))),f143(f887(x44411))),f108(f887(x44411)))))),x44413))))),f171(x44411,f822(f822(f143(f887(x44411)),f822(f822(f143(x44411),x44412),x44414)),x44413)))
% 218.59/218.71 [4448]E(f822(f253(f891(x44481,x44481)),f822(f248(x44481,x44481,a882),f822(f822(f9(x44481,f892(f891(x44482,x44482),a882),f892(x44481,a882)),f822(f822(f10(f892(x44481,f892(f892(f891(x44482,x44482),a882),a882)),f892(f892(f891(x44482,x44482),a882),f892(x44481,a882)),x44481),f9(x44481,f892(f891(x44482,x44482),a882),a882)),f822(f822(f10(f892(x44481,f891(x44482,x44482)),f892(x44481,f892(f892(f891(x44482,x44482),a882),a882)),x44481),f822(f10(f891(x44482,x44482),f892(f892(f891(x44482,x44482),a882),a882),x44481),f318(f891(x44482,x44482)))),f822(f822(f9(x44481,f892(x44481,x44482),f892(x44481,f891(x44482,x44482))),f822(f822(f10(f892(x44482,f891(x44482,x44482)),f892(f892(x44481,x44482),f892(x44481,f891(x44482,x44482))),x44481),f10(x44482,f891(x44482,x44482),x44481)),f822(f822(f10(x44482,f892(x44482,f891(x44482,x44482)),x44481),f243(x44482,x44482)),x44483))),x44483)))),x44484))),f822(f822(f277(x44482,x44481),x44484),x44483))
% 218.59/218.71 [4495]~E(f30(x44951,x44952),f27(x44953,x44954,x44955))
% 218.59/218.71 [4496]~E(f30(x44961,x44962),f26(x44963,x44964,x44965))
% 218.59/218.71 [4497]~E(f29(x44971,x44972),f27(x44973,x44974,x44975))
% 218.59/218.71 [4498]~E(f29(x44981,x44982),f26(x44983,x44984,x44985))
% 218.59/218.71 [4499]~E(f27(x44991,x44992,x44993),f30(x44994,x44995))
% 218.59/218.71 [4500]~E(f27(x45001,x45002,x45003),f29(x45004,x45005))
% 218.59/218.71 [4501]~E(f26(x45011,x45012,x45013),f30(x45014,x45015))
% 218.59/218.71 [4502]~E(f26(x45021,x45022,x45023),f29(x45024,x45025))
% 218.59/218.71 [3595]E(f822(f822(f146(x35951,x35952),x35953),f161(x35951,x35954,x35955)),f161(x35952,x35954,f822(x35953,x35955)))
% 218.59/218.71 [4153]E(f822(f74(x41531,x41532,x41533,x41534,x41535),x41534),x41535)
% 218.59/218.71 [4203]E(f244(x42031,x42032,x42033,f234(x42032,x42031,x42034),f234(x42033,x42032,x42035)),f234(x42033,x42031,f244(x42033,x42032,x42031,x42035,x42034)))
% 218.59/218.71 [3787]E(f822(f822(f248(x37871,x37872,x37873),x37874),x37875),f822(f822(x37874,f822(f242(x37871,x37872),x37875)),f822(f247(x37871,x37872),x37875)))
% 218.59/218.71 [3821]E(f822(f822(f822(f64(x38211,x38212,x38213),x38214),x38215),f182(f892(x38212,a882))),x38215)
% 218.59/218.71 [4093]E(f822(f72(f887(x40931),f887(x40932),f887(x40933),f822(f146(x40931,x40932),x40934)),f822(f146(x40933,x40931),x40935)),f822(f146(x40933,x40932),f822(f72(x40931,x40932,x40933,x40934),x40935)))
% 218.59/218.71 [4167]E(f84(x41671,f65(x41672,x41671,x41673,x41674,x41675)),f822(f822(f63(x41672,x41671,x41673),x41674),x41675))
% 218.59/218.71 [4201]E(f822(f822(f79(a885),f822(f822(f79(a885),f822(x42011,f822(f242(x42012,x42013),x42014))),f822(x42015,f822(f247(x42012,x42013),x42014)))),f822(a107,f2(a885))),f252(x42012,x42013,x42011,x42015,x42014))
% 218.59/218.71 [3723]E(f822(f822(f167(x37231),x37232),f822(f822(f146(x37233,x37231),x37234),x37235)),f822(f822(f146(x37233,x37231),x37234),f822(f822(f167(x37233),x37232),x37235)))
% 218.59/218.71 [3724]E(f822(f822(f130(x37241),x37242),f822(f822(f146(x37243,x37241),x37244),x37245)),f822(f822(f146(x37243,x37241),x37244),f822(f822(f130(x37243),x37242),x37245)))
% 218.59/218.71 [3756]E(f822(f822(f146(x37561,x37562),x37563),f822(f822(f143(x37561),x37564),x37565)),f822(f822(f143(x37562),f822(x37563,x37564)),f822(f822(f146(x37561,x37562),x37563),x37565)))
% 218.59/218.71 [3817]E(f822(f299(x38171,x38172,x38173),f822(f822(f298(x38171),x38174),x38175)),f822(f822(f298(x38172),f822(x38173,x38174)),f822(f299(x38171,x38172,x38173),x38175)))
% 218.59/218.71 [3845]E(f165(x38451,f822(f822(f143(x38451),x38452),x38453),f822(f822(f143(x38451),x38454),x38455)),f822(f822(f143(x38451),x38452),f822(f822(f143(x38451),x38454),f165(x38451,x38453,x38455))))
% 218.59/218.71 [3881]E(f822(f822(f173(x38811,x38812),f822(f822(f167(x38811),x38813),x38814)),f822(f822(f167(x38812),x38813),x38815)),f822(f822(f167(f891(x38811,x38812)),x38813),f822(f822(f173(x38811,x38812),x38814),x38815)))
% 218.59/218.71 [3882]E(f822(f822(f173(x38821,x38822),f822(f822(f130(x38821),x38823),x38824)),f822(f822(f130(x38822),x38823),x38825)),f822(f822(f130(f891(x38821,x38822)),x38823),f822(f822(f173(x38821,x38822),x38824),x38825)))
% 218.59/218.71 [3892]E(f822(f822(f151(x38921,f822(f822(f143(x38921),x38922),x38923)),f822(a107,x38924)),x38925),f822(f822(f143(x38921),x38922),f822(f822(f151(x38921,x38923),x38924),x38925)))
% 218.59/218.71 [3895]E(f822(f822(f126(x38951),f822(f822(f146(x38952,x38951),x38953),x38954)),f822(f822(f146(x38952,x38951),x38953),x38955)),f822(f822(f146(x38952,x38951),x38953),f822(f822(f126(x38952),x38954),x38955)))
% 218.59/218.71 [3899]E(f822(f822(x38991,x38992),f822(f822(f236(x38993,x38994,x38991),x38992),x38995)),f822(f822(f236(x38993,x38994,x38991),x38992),f822(a107,x38995)))
% 218.59/218.71 [3930]E(f155(x39301,x39302,x39303,f822(f822(f143(x39301),x39304),x39305)),f822(f822(f126(x39302),f822(x39303,x39304)),f155(x39301,x39302,x39303,x39305)))
% 218.59/218.71 [3942]E(f822(f822(f278(x39421,x39422,x39423),f822(f275(x39422,x39421),x39424)),f822(f275(x39423,x39422),x39425)),f822(f275(x39423,x39421),f822(f822(f278(x39423,x39422,x39421),x39425),x39424)))
% 218.59/218.71 [3974]E(f822(f822(f822(f175(f887(x39741),f887(x39741)),x39742),f159(x39741)),f822(f822(f146(x39743,x39741),x39744),x39745)),f822(f822(f146(x39743,x39741),x39744),f822(f822(f822(f175(f887(x39743),f887(x39743)),x39742),f159(x39743)),x39745)))
% 218.59/218.71 [3975]E(f822(f822(f250(x39751,x39752,x39751,x39753),f822(f243(x39752,x39751),x39754)),x39755),f822(x39755,x39754))
% 218.59/218.71 [3996]E(f147(x39961,x39962,f822(f822(f146(x39963,x39961),x39964),x39965)),f147(x39963,f822(f72(x39961,a885,x39963,x39962),x39964),x39965))
% 218.59/218.71 [4058]E(f169(f891(x40581,x40582),f822(f72(x40582,a882,f891(x40581,x40582),x40583),f247(x40581,x40582)),f822(f822(f173(x40581,x40582),x40584),x40585)),f822(f822(f173(x40581,x40582),x40584),f169(x40582,x40583,x40585)))
% 218.59/218.71 [4063]E(f822(f299(x40631,x40632,f822(f822(f10(x40633,x40632,x40631),x40634),x40635)),f233(f892(x40631,a882))),f822(f299(x40633,x40632,x40634),f822(f299(x40631,x40633,x40635),f233(f892(x40631,a882)))))
% 218.59/218.71 [4076]E(f169(f891(x40761,x40762),f822(f72(x40761,a882,f891(x40761,x40762),x40763),f242(x40761,x40762)),f822(f822(f173(x40761,x40762),x40764),x40765)),f822(f822(f173(x40761,x40762),f169(x40761,x40763,x40764)),x40765))
% 218.59/218.71 [4097]E(f822(f822(f96(f892(x40971,a882)),f822(f300(x40971,x40972,x40973),f822(f822(f298(x40972),x40974),f182(f892(x40972,a882))))),f822(f300(x40971,x40972,x40973),x40975)),f822(f300(x40971,x40972,x40973),f822(f822(f298(x40972),x40974),x40975)))
% 218.59/218.71 [4152]E(f822(f822(f126(f891(x41521,x41522)),f822(f822(f146(x41522,f891(x41521,x41522)),f822(f243(x41521,x41522),x41523)),x41524)),f58(x41521,x41522,x41525,x41524)),f58(x41521,x41522,f822(f822(f143(x41521),x41523),x41525),x41524))
% 218.59/218.71 [4154]E(f822(f822(f146(x41541,x41542),x41543),f169(x41541,f822(f72(x41542,a882,x41541,x41544),x41543),x41545)),f169(x41542,x41544,f822(f822(f146(x41541,x41542),x41543),x41545)))
% 218.59/218.71 [4159]E(f822(f134(x41591,x41592,f822(f9(x41592,x41591,x41591),f822(f9(x41591,x41592,x41591),x41593)),x41594),f822(f160(x41592),f822(f160(x41592),x41595))),f822(f134(x41591,x41592,x41593,x41594),x41595))
% 218.59/218.71 [4260]P144(f822(f822(f226(f892(x42601,a882)),f822(f299(x42602,x42601,x42603),f822(f822(f97(f892(x42602,a882)),x42604),x42605))),f822(f822(f97(f892(x42601,a882)),f822(f299(x42602,x42601,x42603),x42604)),f822(f299(x42602,x42601,x42603),x42605))))
% 218.59/218.71 [4261]P144(f822(f822(f226(f892(x42611,a882)),f822(f274(x42612,x42611,x42613),f822(f822(f97(f892(x42612,a882)),x42614),x42615))),f822(f822(f97(f892(x42611,a882)),f822(f274(x42612,x42611,x42613),x42614)),f822(f274(x42612,x42611,x42613),x42615))))
% 218.59/218.71 [4359]E(f822(f247(x43591,x43592),f822(f249(x43593,x43591,x43592,x43592,x43594,f31(x43592)),x43595)),f822(f247(x43593,x43592),x43595))
% 218.59/218.71 [4360]E(f822(f242(x43601,x43602),f822(f249(x43601,x43601,x43603,x43602,f31(x43601),x43604),x43605)),f822(f242(x43601,x43603),x43605))
% 218.59/218.71 [3566]E(f822(f822(f822(f822(f198(x35661),x35662),x35663),x35664),x35665),f186(x35661,x35662))
% 218.59/218.71 [3567]E(f822(f822(f822(f822(f202(x35671),x35672),x35673),x35674),x35675),f193(x35671,x35672))
% 218.59/218.71 [3931]E(f822(f822(f38(x39311,f892(x39312,a882)),f822(f822(f298(x39311),x39313),x39314)),x39315),f822(f822(f96(f892(x39312,a882)),f822(x39315,x39313)),f822(f822(f38(x39311,f892(x39312,a882)),x39314),x39315)))
% 218.59/218.71 [3932]E(f822(f822(f39(x39321,f892(x39322,a882)),f822(f822(f298(x39321),x39323),x39324)),x39325),f822(f822(f97(f892(x39322,a882)),f822(x39325,x39323)),f822(f822(f39(x39321,f892(x39322,a882)),x39324),x39325)))
% 218.59/218.71 [3980]E(f822(f113(x39801,x39802,f822(x39803,x39804)),f822(f822(f9(x39801,a94,f886(x39802)),x39805),x39804)),f822(f191(x39801,x39802,x39803,x39805),x39804))
% 218.59/218.71 [3990]E(f822(f822(f96(f892(x39901,a882)),f822(f299(x39902,x39901,x39903),x39904)),f822(f299(x39902,x39901,x39903),x39905)),f822(f299(x39902,x39901,x39903),f822(f822(f96(f892(x39902,a882)),x39904),x39905)))
% 218.59/218.71 [3991]E(f822(f822(f96(f892(x39911,a882)),f822(f274(x39912,x39911,x39913),x39914)),f822(f274(x39912,x39911,x39913),x39915)),f822(f274(x39912,x39911,x39913),f822(f822(f96(f892(x39912,a882)),x39914),x39915)))
% 218.59/218.71 [3992]E(f822(f822(f3(f892(x39921,a882)),f822(f300(x39921,x39922,x39923),x39924)),f822(f300(x39921,x39922,x39923),x39925)),f822(f300(x39921,x39922,x39923),f822(f822(f3(f892(x39922,a882)),x39924),x39925)))
% 218.59/218.71 [3993]E(f822(f822(f96(f892(x39931,a882)),f822(f300(x39931,x39932,x39933),x39934)),f822(f300(x39931,x39932,x39933),x39935)),f822(f300(x39931,x39932,x39933),f822(f822(f96(f892(x39932,a882)),x39934),x39935)))
% 218.59/218.71 [3994]E(f822(f822(f97(f892(x39941,a882)),f822(f300(x39941,x39942,x39943),x39944)),f822(f300(x39941,x39942,x39943),x39945)),f822(f300(x39941,x39942,x39943),f822(f822(f97(f892(x39942,a882)),x39944),x39945)))
% 218.59/218.71 [4054]E(f822(f822(f151(x40541,f822(f822(f126(x40541),x40542),f822(f822(f143(x40541),x40543),x40544))),f822(f183(f887(x40541)),x40542)),x40545),f822(f822(f126(x40541),x40542),f822(f822(f143(x40541),x40545),x40544)))
% 218.59/218.71 [4061]E(f822(f822(f39(x40611,f892(x40612,a882)),x40613),f822(f822(f10(f892(x40612,a882),f892(x40612,a882),x40611),f822(f298(x40612),x40614)),x40615)),f822(f822(f298(x40612),x40614),f822(f822(f39(x40611,f892(x40612,a882)),x40613),x40615)))
% 218.59/218.71 [4212]E(f822(f822(f146(x42121,x42122),x42123),f822(f128(x42121,f822(f72(x42122,a882,x42121,x42124),x42123)),x42125)),f822(f128(x42122,x42124),f822(f822(f146(x42121,x42122),x42123),x42125)))
% 218.59/218.71 [4218]E(f822(f183(f887(x42181)),f822(f128(x42181,x42182),f822(f822(f146(x42183,x42181),x42184),x42185))),f822(f183(f887(x42183)),f822(f128(x42183,f822(f72(x42181,a882,x42183,x42182),x42184)),x42185)))
% 218.59/218.71 [4424]E(f822(f148(f887(f891(x44241,x44242)),x44242,f108(f891(x44241,x44242)),f822(f822(f9(x44242,f892(f887(x44242),f887(f891(x44241,x44242))),f892(f887(x44242),f887(f891(x44241,x44242)))),f822(f822(f10(f892(f887(f891(x44241,x44242)),f887(f891(x44241,x44242))),f892(f892(f887(x44242),f887(f891(x44241,x44242))),f892(f887(x44242),f887(f891(x44241,x44242)))),x44242),f10(f887(f891(x44241,x44242)),f887(f891(x44241,x44242)),f887(x44242))),f822(f822(f10(f891(x44241,x44242),f892(f887(f891(x44241,x44242)),f887(f891(x44241,x44242))),x44242),f143(f891(x44241,x44242))),f822(f243(x44241,x44242),x44243)))),f822(f173(x44241,x44242),x44244))),x44245),f822(f822(f173(x44241,x44242),f822(f822(f143(x44241),x44243),x44244)),x44245))
% 218.59/218.71 [3924]E(f822(f822(f151(x39241,f822(f822(f151(x39241,x39242),x39243),x39244)),x39243),x39245),f822(f822(f151(x39241,x39242),x39243),x39245))
% 218.59/218.71 [3976]E(f822(f273(x39761,x39762),f822(f822(f298(f891(x39761,x39762)),f822(f822(f243(x39761,x39762),x39763),x39764)),x39765)),f822(f822(f298(x39762),x39764),f822(f273(x39761,x39762),x39765)))
% 218.59/218.71 [3977]E(f822(f255(x39771,x39772),f822(f822(f298(f891(x39771,x39772)),f822(f822(f243(x39771,x39772),x39773),x39774)),x39775)),f822(f822(f298(x39771),x39773),f822(f255(x39771,x39772),x39775)))
% 218.59/218.71 [4019]E(f116(x40191,x40192,f822(x40193,x40194),f822(f822(f9(x40191,a94,f886(f889(x40192))),x40195),x40194)),f822(f189(x40191,x40192,x40193,x40195),x40194))
% 218.59/218.71 [4047]E(f822(f822(f3(f892(f891(x40471,x40472),a882)),f822(f822(f245(x40471,x40472),x40473),x40474)),f822(f822(f245(x40471,x40472),x40475),x40474)),f822(f822(f245(x40471,x40472),f822(f822(f3(f892(x40471,a882)),x40473),x40475)),x40474))
% 218.59/218.71 [4048]E(f822(f822(f96(f892(f891(x40481,x40482),a882)),f822(f822(f245(x40481,x40482),x40483),x40484)),f822(f822(f245(x40481,x40482),x40485),x40484)),f822(f822(f245(x40481,x40482),f822(f822(f96(f892(x40481,a882)),x40483),x40485)),x40484))
% 218.59/218.71 [4049]E(f822(f822(f97(f892(f891(x40491,x40492),a882)),f822(f822(f245(x40491,x40492),x40493),x40494)),f822(f822(f245(x40491,x40492),x40495),x40494)),f822(f822(f245(x40491,x40492),f822(f822(f97(f892(x40491,a882)),x40493),x40495)),x40494))
% 218.59/218.71 [4108]E(f822(f822(f96(f892(x41081,a882)),f822(f822(f38(x41082,f892(x41081,a882)),x41083),x41084)),f822(f822(f38(x41082,f892(x41081,a882)),x41085),x41084)),f822(f822(f38(x41082,f892(x41081,a882)),f822(f822(f96(f892(x41082,a882)),x41083),x41085)),x41084))
% 218.59/218.71 [4109]E(f822(f822(f97(f892(x41091,a882)),f822(f822(f39(x41092,f892(x41091,a882)),x41093),x41094)),f822(f822(f39(x41092,f892(x41091,a882)),x41095),x41094)),f822(f822(f39(x41092,f892(x41091,a882)),f822(f822(f96(f892(x41092,a882)),x41093),x41095)),x41094))
% 218.59/218.71 [4123]E(f822(f822(f38(x41231,f892(x41232,a882)),x41233),f822(f822(f10(f892(x41232,a882),f892(x41232,a882),x41231),f822(f3(f892(x41232,a882)),x41234)),x41235)),f822(f822(f3(f892(x41232,a882)),x41234),f822(f822(f39(x41231,f892(x41232,a882)),x41233),x41235)))
% 218.59/218.71 [4124]E(f822(f822(f38(x41241,f892(x41242,a882)),x41243),f822(f822(f10(f892(x41242,a882),f892(x41242,a882),x41241),f822(f97(f892(x41242,a882)),x41244)),x41245)),f822(f822(f97(f892(x41242,a882)),x41244),f822(f822(f38(x41241,f892(x41242,a882)),x41243),x41245)))
% 218.59/218.71 [4125]E(f822(f822(f39(x41251,f892(x41252,a882)),x41253),f822(f822(f10(f892(x41252,a882),f892(x41252,a882),x41251),f822(f96(f892(x41252,a882)),x41254)),x41255)),f822(f822(f96(f892(x41252,a882)),x41254),f822(f822(f39(x41251,f892(x41252,a882)),x41253),x41255)))
% 218.59/218.71 [4179]E(f177(f887(x41791),f822(f822(f143(x41791),x41792),x41793),f822(f822(f10(f887(x41791),f887(x41791),a885),f822(f143(x41791),x41794)),f822(f822(f9(a885,x41791,f887(x41791)),f151(x41791,x41793)),x41792)),x41795),f822(f822(f151(x41791,f822(f822(f143(x41791),x41794),x41793)),x41795),x41792))
% 218.59/218.71 [4183]E(f822(f822(f38(x41831,f892(f891(x41832,x41833),a882)),x41834),f822(f822(f10(f892(f891(x41833,x41832),a882),f892(f891(x41832,x41833),a882),x41831),f275(x41833,x41832)),x41835)),f822(f275(x41833,x41832),f822(f822(f38(x41831,f892(f891(x41833,x41832),a882)),x41834),x41835)))
% 218.59/218.71 [4184]E(f822(f822(f39(x41841,f892(f891(x41842,x41843),a882)),x41844),f822(f822(f10(f892(f891(x41843,x41842),a882),f892(f891(x41842,x41843),a882),x41841),f275(x41843,x41842)),x41845)),f822(f275(x41843,x41842),f822(f822(f39(x41841,f892(f891(x41843,x41842),a882)),x41844),x41845)))
% 218.59/218.71 [4283]P144(f822(f822(f226(f892(x42831,a882)),f822(f822(f3(f892(x42831,a882)),f822(f299(x42832,x42831,x42833),x42834)),f822(f299(x42832,x42831,x42833),x42835))),f822(f299(x42832,x42831,x42833),f822(f822(f3(f892(x42832,a882)),x42834),x42835))))
% 218.59/218.71 [4427]E(f822(f148(f887(f891(x44271,x44272)),x44271,f108(f891(x44271,x44272)),f822(f822(f9(x44271,f892(f887(x44271),f887(f891(x44271,x44272))),f892(f887(x44271),f887(f891(x44271,x44272)))),f822(f822(f10(f892(f887(f891(x44271,x44272)),f887(f891(x44271,x44272))),f892(f892(f887(x44271),f887(f891(x44271,x44272))),f892(f887(x44271),f887(f891(x44271,x44272)))),x44271),f10(f887(f891(x44271,x44272)),f887(f891(x44271,x44272)),f887(x44271))),f822(f822(f10(f891(x44271,x44272),f892(f887(f891(x44271,x44272)),f887(f891(x44271,x44272))),x44271),f143(f891(x44271,x44272))),f822(f822(f9(x44271,x44272,f891(x44271,x44272)),f243(x44271,x44272)),x44273)))),f822(f822(f9(f887(x44271),f887(x44272),f887(f891(x44271,x44272))),f173(x44271,x44272)),x44274))),x44275),f822(f822(f173(x44271,x44272),x44275),f822(f822(f143(x44272),x44273),x44274)))
% 218.59/218.71 [4148]E(f822(f822(f96(f892(x41481,a882)),f822(f274(x41482,x41481,x41483),x41484)),f822(f274(x41482,x41481,x41485),x41484)),f822(f274(x41482,x41481,f822(f822(f96(f892(f891(x41482,x41481),a882)),x41483),x41485)),x41484))
% 218.59/218.71 [4185]E(f822(f822(f126(f891(x41851,x41852)),f822(f822(f173(x41851,x41852),x41853),f822(f822(f167(x41852),f822(f183(f887(x41851)),x41853)),x41854))),f822(f822(f173(x41851,x41852),x41855),f822(f822(f130(x41852),f822(f183(f887(x41851)),x41853)),x41854))),f822(f822(f173(x41851,x41852),f822(f822(f126(x41851),x41853),x41855)),x41854))
% 218.59/218.71 [4286]E(f822(f822(f245(x42861,x42862),x42863),f822(f822(f20(x42861,f892(x42862,a882),f892(x42862,a882)),f822(f822(f10(f892(x42862,a882),f892(f892(x42862,a882),f892(x42862,a882)),x42861),f3(f892(x42862,a882))),x42864)),x42865)),f822(f822(f3(f892(f891(x42861,x42862),a882)),f822(f822(f245(x42861,x42862),x42863),x42864)),f822(f822(f245(x42861,x42862),x42863),x42865)))
% 218.59/218.71 [4287]E(f822(f822(f245(x42871,x42872),x42873),f822(f822(f20(x42871,f892(x42872,a882),f892(x42872,a882)),f822(f822(f10(f892(x42872,a882),f892(f892(x42872,a882),f892(x42872,a882)),x42871),f96(f892(x42872,a882))),x42874)),x42875)),f822(f822(f96(f892(f891(x42871,x42872),a882)),f822(f822(f245(x42871,x42872),x42873),x42874)),f822(f822(f245(x42871,x42872),x42873),x42875)))
% 218.59/218.71 [4288]E(f822(f822(f245(x42881,x42882),x42883),f822(f822(f20(x42881,f892(x42882,a882),f892(x42882,a882)),f822(f822(f10(f892(x42882,a882),f892(f892(x42882,a882),f892(x42882,a882)),x42881),f97(f892(x42882,a882))),x42884)),x42885)),f822(f822(f97(f892(f891(x42881,x42882),a882)),f822(f822(f245(x42881,x42882),x42883),x42884)),f822(f822(f245(x42881,x42882),x42883),x42885)))
% 218.59/218.71 [4292]E(f822(f822(f38(x42921,f892(x42922,a882)),x42923),f822(f822(f9(x42921,f892(x42922,a882),f892(x42922,a882)),f822(f822(f10(f892(x42922,a882),f892(f892(x42922,a882),f892(x42922,a882)),x42921),f3(f892(x42922,a882))),x42924)),x42925)),f822(f822(f3(f892(x42922,a882)),f822(f822(f38(x42921,f892(x42922,a882)),x42923),x42924)),x42925))
% 218.59/218.71 [4293]E(f822(f822(f38(x42931,f892(x42932,a882)),x42933),f822(f822(f9(x42931,f892(x42932,a882),f892(x42932,a882)),f822(f822(f10(f892(x42932,a882),f892(f892(x42932,a882),f892(x42932,a882)),x42931),f97(f892(x42932,a882))),x42934)),x42935)),f822(f822(f97(f892(x42932,a882)),f822(f822(f38(x42931,f892(x42932,a882)),x42933),x42934)),x42935))
% 218.59/218.71 [4294]E(f822(f822(f39(x42941,f892(x42942,a882)),x42943),f822(f822(f9(x42941,f892(x42942,a882),f892(x42942,a882)),f822(f822(f10(f892(x42942,a882),f892(f892(x42942,a882),f892(x42942,a882)),x42941),f96(f892(x42942,a882))),x42944)),x42945)),f822(f822(f96(f892(x42942,a882)),f822(f822(f39(x42941,f892(x42942,a882)),x42943),x42944)),x42945))
% 218.59/218.71 [4298]E(f822(f822(f38(x42981,f892(x42982,a882)),x42983),f822(f822(f20(x42981,f892(x42982,a882),f892(x42982,a882)),f822(f822(f10(f892(x42982,a882),f892(f892(x42982,a882),f892(x42982,a882)),x42981),f96(f892(x42982,a882))),x42984)),x42985)),f822(f822(f96(f892(x42982,a882)),f822(f822(f38(x42981,f892(x42982,a882)),x42983),x42984)),f822(f822(f38(x42981,f892(x42982,a882)),x42983),x42985)))
% 218.59/218.71 [4299]E(f822(f822(f39(x42991,f892(x42992,a882)),x42993),f822(f822(f20(x42991,f892(x42992,a882),f892(x42992,a882)),f822(f822(f10(f892(x42992,a882),f892(f892(x42992,a882),f892(x42992,a882)),x42991),f97(f892(x42992,a882))),x42994)),x42995)),f822(f822(f97(f892(x42992,a882)),f822(f822(f39(x42991,f892(x42992,a882)),x42993),x42994)),f822(f822(f39(x42991,f892(x42992,a882)),x42993),x42995)))
% 218.59/218.71 [4312]E(f822(f822(f38(x43121,f892(x43122,a882)),x43123),f822(f822(f20(x43121,f892(x43122,a882),f892(x43122,a882)),f822(f822(f10(f892(x43122,a882),f892(f892(x43122,a882),f892(x43122,a882)),x43121),f96(f892(x43122,a882))),x43124)),x43125)),f822(f822(f96(f892(x43122,a882)),f36(f892(x43122,a882),f822(f299(x43121,f892(x43122,a882),x43124),x43123))),f36(f892(x43122,a882),f822(f299(x43121,f892(x43122,a882),x43125),x43123))))
% 218.59/218.71 [4313]E(f822(f822(f39(x43131,f892(x43132,a882)),x43133),f822(f822(f20(x43131,f892(x43132,a882),f892(x43132,a882)),f822(f822(f10(f892(x43132,a882),f892(f892(x43132,a882),f892(x43132,a882)),x43131),f97(f892(x43132,a882))),x43134)),x43135)),f822(f822(f97(f892(x43132,a882)),f37(f892(x43132,a882),f822(f299(x43131,f892(x43132,a882),x43134),x43133))),f37(f892(x43132,a882),f822(f299(x43131,f892(x43132,a882),x43135),x43133))))
% 218.59/218.71 [4348]E(f822(f822(f130(x43481),f822(f183(f887(x43481)),f169(x43481,x43482,f822(f822(f146(x43483,x43481),x43484),x43485)))),f822(f822(f146(x43483,x43481),x43484),x43485)),f822(f822(f146(x43483,x43481),x43484),f822(f822(f130(x43483),f822(f183(f887(x43483)),f169(x43483,f822(f72(x43481,a882,x43483,x43482),x43484),x43485))),x43485)))
% 218.59/218.71 [4225]E(f822(f822(f126(f891(x42251,x42252)),f822(f822(f173(x42251,x42252),f822(f822(f167(x42251),f822(f183(f887(x42252)),x42253)),x42254)),x42253)),f822(f822(f173(x42251,x42252),f822(f822(f130(x42251),f822(f183(f887(x42252)),x42253)),x42254)),x42255)),f822(f822(f173(x42251,x42252),x42254),f822(f822(f126(x42252),x42253),x42255)))
% 218.59/218.71 [4340]E(f84(x43401,f822(f822(f20(x43401,a882,a882),f822(f822(f10(a882,f892(a882,a882),x43401),a315),f822(f822(f9(x43401,f892(x43401,a882),a882),f318(x43401)),x43402))),f822(f822(f9(x43401,x43403,a882),f822(f822(f10(x43403,f892(x43403,a882),x43401),a314),x43404)),x43405))),f822(f76(x43401,x43403,x43402,x43404),x43405))
% 218.59/218.71 [4388]E(f822(f822(f85(a1,x43881),f822(f99(a1),f822(f822(f79(a1),x43882),a92))),f822(f822(f20(a1,x43881,x43881),f822(f822(f9(a1,x43881,f892(x43881,x43881)),f822(f822(f10(a882,f892(x43881,f892(x43881,x43881)),a1),f90(x43881)),a187)),f177(x43881,x43883,x43884,x43885))),f822(f822(f10(a885,x43881,a1),x43884),f822(f822(f9(a1,a885,a885),f822(f822(f10(a885,f892(a885,a885),a1),f79(a885)),a100)),x43885)))),f177(x43881,x43883,x43884,f822(f822(f79(a885),f822(f99(a885),x43882)),x43885)))
% 218.59/218.71 [4423]E(f822(f822(f85(a1,x44231),f822(f99(a1),f822(f822(f79(a1),x44232),a92))),f822(f822(f20(a1,x44231,x44231),f822(f822(f9(a1,x44231,f892(x44231,x44231)),f822(f822(f10(a882,f892(x44231,f892(x44231,x44231)),a1),f90(x44231)),a187)),f822(f176(x44231,x44233,x44234),x44235))),f822(f822(f20(a1,x44231,x44231),f822(f822(f10(a885,f892(x44231,x44231),a1),x44234),f822(f822(f9(a1,a885,a885),f822(f822(f10(a885,f892(a885,a885),a1),f79(a885)),a100)),x44235))),f822(f822(f10(a885,x44231,a1),f176(x44231,x44233,x44234)),f822(f822(f9(a1,a885,a885),f822(f822(f10(a885,f892(a885,a885),a1),f79(a885)),a100)),x44235))))),f822(f176(x44231,x44233,x44234),f822(f822(f79(a885),f822(f99(a885),x44232)),x44235)))
% 218.59/218.71 [4456]E(f822(f253(f891(x44561,x44562)),f822(f248(x44561,x44562,a882),f822(f822(f10(f892(x44562,f892(x44563,a882)),f892(x44562,a882),x44561),f822(f10(f892(x44563,a882),a882,x44562),f86(x44563))),f822(f822(f9(x44561,f892(x44562,f892(x44563,a882)),f892(x44562,f892(x44563,a882))),f822(f822(f10(f892(f892(x44563,a882),f892(x44563,a882)),f892(f892(x44562,f892(x44563,a882)),f892(x44562,f892(x44563,a882))),x44561),f10(f892(x44563,a882),f892(x44563,a882),x44562)),f822(f822(f10(f892(x44563,f892(a882,a882)),f892(f892(x44563,a882),f892(x44563,a882)),x44561),f20(x44563,a882,a882)),f822(f822(f10(f892(x44563,a882),f892(x44563,f892(a882,a882)),x44561),f822(f10(a882,f892(a882,a882),x44563),a315)),f822(f822(f9(x44561,f892(f891(x44561,x44563),a882),f892(x44563,a882)),f822(f822(f10(f892(x44563,f892(f892(f891(x44561,x44563),a882),a882)),f892(f892(f891(x44561,x44563),a882),f892(x44563,a882)),x44561),f9(x44563,f892(f891(x44561,x44563),a882),a882)),f822(f822(f10(f892(x44563,f891(x44561,x44563)),f892(x44563,f892(f892(f891(x44561,x44563),a882),a882)),x44561),f822(f10(f891(x44561,x44563),f892(f892(f891(x44561,x44563),a882),a882),x44563),f318(f891(x44561,x44563)))),f243(x44561,x44563)))),x44564))))),f822(f822(f9(x44562,f892(f891(x44563,x44562),a882),f892(x44563,a882)),f822(f822(f10(f892(x44563,f892(f892(f891(x44563,x44562),a882),a882)),f892(f892(f891(x44563,x44562),a882),f892(x44563,a882)),x44562),f9(x44563,f892(f891(x44563,x44562),a882),a882)),f822(f822(f10(f892(x44563,f891(x44563,x44562)),f892(x44563,f892(f892(f891(x44563,x44562),a882),a882)),x44562),f822(f10(f891(x44563,x44562),f892(f892(f891(x44563,x44562),a882),a882),x44563),f318(f891(x44563,x44562)))),f822(f9(x44563,x44562,f891(x44563,x44562)),f243(x44563,x44562))))),x44565))))),f822(f822(f278(x44561,x44563,x44562),x44564),x44565))
% 218.59/218.71 [4521]~E(f26(x45211,x45212,x45213),f27(x45214,x45215,x45216))
% 218.59/218.71 [4077]E(f218(x40771,x40772,x40773,x40774,f214(x40771,x40772,x40775,x40776)),f822(f822(x40774,x40775),x40776))
% 218.59/218.71 [4078]E(f219(x40781,x40782,x40783,x40784,f214(x40781,x40782,x40785,x40786)),f822(f822(x40784,x40785),x40786))
% 218.59/218.71 [4220]E(f74(x42201,x42202,f74(x42201,x42202,x42203,x42204,x42205),x42204,x42206),f74(x42201,x42202,x42203,x42204,x42206))
% 218.59/218.71 [4328]E(f822(f72(f891(x43281,x43282),x43282,f891(x43283,x43284),f247(x43281,x43282)),f249(x43283,x43281,x43284,x43282,x43285,x43286)),f822(f72(x43284,x43282,f891(x43283,x43284),x43286),f247(x43283,x43284)))
% 218.59/218.71 [4329]E(f822(f72(f891(x43291,x43292),x43291,f891(x43293,x43294),f242(x43291,x43292)),f249(x43293,x43291,x43294,x43292,x43295,x43296)),f822(f72(x43293,x43291,f891(x43293,x43294),x43295),f242(x43293,x43294)))
% 218.59/218.71 [3952]E(f822(f822(f72(x39521,x39522,x39523,x39524),x39525),x39526),f822(x39524,f822(x39525,x39526)))
% 218.59/218.71 [4087]E(f217(x40871,f891(x40872,f886(x40872)),x40873,f822(f248(x40872,f886(x40872),x40871),x40874),f822(f127(x40872),f120(x40872,x40875,x40876))),f822(f822(x40874,x40875),x40876))
% 218.59/218.71 [4137]E(f220(x41371,x41372,x41373,x41374,f214(x41371,x41372,x41375,x41376)),f822(f822(f79(a885),f822(f822(f79(a885),f822(x41373,x41375)),f822(x41374,x41376))),f822(a107,f2(a885))))
% 218.59/218.71 [3754]E(f822(f822(f248(x37541,x37542,x37543),x37544),f822(f822(f243(x37541,x37542),x37545),x37546)),f822(f822(x37544,x37545),x37546))
% 218.59/218.71 [3814]E(f822(f822(f822(f10(x38141,x38142,x38143),x38144),x38145),x38146),f822(x38144,f822(x38145,x38146)))
% 218.59/218.71 [3815]E(f822(f822(f822(f9(x38151,x38152,x38153),x38154),x38155),x38156),f822(f822(x38154,x38156),x38155))
% 218.59/218.71 [3831]E(f822(f822(f822(f20(x38311,x38312,x38313),x38314),x38315),x38316),f822(f822(x38314,x38316),f822(x38315,x38316)))
% 218.59/218.71 [3853]E(f822(f148(x38531,x38532,x38533,x38534),f822(f822(f143(x38532),x38535),x38536)),f822(f822(x38534,x38535),x38536))
% 218.59/218.71 [3891]E(f161(f891(x38911,x38912),f822(f822(f230(a885),x38913),x38914),f822(f822(f243(x38911,x38912),x38915),x38916)),f822(f822(f173(x38911,x38912),f161(x38911,x38913,x38915)),f161(x38912,x38914,x38916)))
% 218.59/218.71 [3956]E(f822(f822(f143(f891(x39561,x39562)),f822(f822(f243(x39561,x39562),x39563),x39564)),f822(f822(f173(x39561,x39562),x39565),x39566)),f822(f822(f173(x39561,x39562),f822(f822(f143(x39561),x39563),x39565)),f822(f822(f143(x39562),x39564),x39566)))
% 218.59/218.71 [3957]E(f822(f822(f146(x39571,x39572),x39573),f822(f822(f151(x39571,x39574),x39575),x39576)),f822(f822(f151(x39572,f822(f822(f146(x39571,x39572),x39573),x39574)),x39575),f822(x39573,x39576)))
% 218.59/218.71 [3979]E(f822(f822(f246(x39791,x39792,x39793,x39794),x39795),x39796),f822(x39794,f822(f822(f243(x39791,x39792),x39795),x39796)))
% 218.59/218.71 [3995]E(f822(f134(x39951,x39952,x39953,x39954),f822(f822(f143(x39952),x39955),x39956)),f822(f134(x39951,x39952,x39953,f822(f822(x39953,x39954),x39955)),x39956))
% 218.59/218.71 [4020]E(f251(x40201,x40202,x40203,x40204,f822(f822(f243(x40201,x40202),x40205),x40206)),f822(f822(x40204,x40205),x40206))
% 218.59/218.71 [4101]E(f822(f822(f38(x41011,f892(x41012,a882)),x41013),f822(f72(x41014,f892(x41012,a882),x41011,x41015),x41016)),f822(f822(f38(x41014,f892(x41012,a882)),f822(f299(x41011,x41014,x41016),x41013)),x41015))
% 218.59/218.71 [4151]E(f822(f822(f146(x41511,x41512),x41513),f822(f822(f146(x41514,x41511),x41515),x41516)),f822(f822(f146(x41514,x41512),f822(f72(x41511,x41512,x41514,x41513),x41515)),x41516))
% 218.59/218.71 [4157]E(f822(f299(x41571,x41572,f822(f72(x41573,x41572,x41571,x41574),x41575)),x41576),f822(f299(x41573,x41572,x41574),f822(f299(x41571,x41573,x41575),x41576)))
% 218.59/218.71 [4158]E(f822(f300(x41581,x41582,f822(f72(x41583,x41582,x41581,x41584),x41585)),x41586),f822(f300(x41581,x41583,x41585),f822(f300(x41583,x41582,x41584),x41586)))
% 218.59/218.71 [4186]E(f822(f134(x41861,x41862,x41863,f822(f134(x41861,x41862,x41863,x41864),x41865)),x41866),f822(f134(x41861,x41862,x41863,x41864),f822(f822(f126(x41862),x41865),x41866)))
% 218.59/218.71 [4318]E(f822(f249(x43181,x43181,x43182,x43183,f31(x43181),x43184),f822(f822(f243(x43181,x43182),x43185),x43186)),f822(f822(f243(x43181,x43183),x43185),f822(x43184,x43186)))
% 218.59/218.71 [4319]E(f822(f249(x43191,x43192,x43193,x43193,x43194,f31(x43193)),f822(f822(f243(x43191,x43193),x43195),x43196)),f822(f822(f243(x43192,x43193),f822(x43194,x43195)),x43196))
% 218.59/218.71 [4406]E(f822(f822(f146(f891(x44061,x44062),f891(x44061,x44063)),f822(f248(x44061,x44062,f891(x44061,x44063)),f822(f822(f9(x44061,f892(x44062,x44063),f892(x44062,f891(x44061,x44063))),f822(f822(f10(f892(x44063,f891(x44061,x44063)),f892(f892(x44062,x44063),f892(x44062,f891(x44061,x44063))),x44061),f10(x44063,f891(x44061,x44063),x44062)),f243(x44061,x44063))),x44064))),f822(f822(f173(x44061,x44062),x44065),x44066)),f822(f822(f173(x44061,x44063),x44065),f822(f822(f146(x44062,x44063),x44064),x44066)))
% 218.59/218.71 [4004]E(f822(f822(f72(x40041,x40042,x40043,f822(f18(x40042,x40041),x40044)),x40045),x40046),x40044)
% 218.59/218.71 [4036]E(f822(f299(x40361,x40362,x40363),f822(f299(x40364,x40361,x40365),x40366)),f822(f299(x40364,x40362,f822(f822(f10(x40361,x40362,x40364),x40363),x40365)),x40366))
% 218.59/218.71 [4042]E(f822(f822(f38(x40421,f892(x40422,a882)),f822(f299(x40423,x40421,x40424),x40425)),x40426),f822(f822(f38(x40423,f892(x40422,a882)),x40425),f822(f822(f10(x40421,f892(x40422,a882),x40423),x40426),x40424)))
% 218.59/218.71 [4043]E(f822(f822(f39(x40431,f892(x40432,a882)),f822(f299(x40433,x40431,x40434),x40435)),x40436),f822(f822(f39(x40433,f892(x40432,a882)),x40435),f822(f822(f10(x40431,f892(x40432,a882),x40433),x40436),x40434)))
% 218.59/218.71 [4044]E(f822(f822(f38(x40441,f892(x40442,a882)),x40443),f822(f822(f10(x40444,f892(x40442,a882),x40441),x40445),x40446)),f822(f822(f38(x40444,f892(x40442,a882)),f822(f299(x40441,x40444,x40446),x40443)),x40445))
% 218.59/218.71 [4045]E(f822(f822(f39(x40451,f892(x40452,a882)),x40453),f822(f822(f10(x40454,f892(x40452,a882),x40451),x40455),x40456)),f822(f822(f39(x40454,f892(x40452,a882)),f822(f299(x40451,x40454,x40456),x40453)),x40455))
% 218.59/218.71 [4103]E(f822(f822(f38(x41031,f892(x41032,a882)),x41033),f822(f822(f10(f892(x41034,a882),f892(x41032,a882),x41031),f299(x41034,x41032,x41035)),x41036)),f822(f299(x41034,x41032,x41035),f822(f822(f38(x41031,f892(x41034,a882)),x41033),x41036)))
% 218.59/218.71 [4104]E(f822(f822(f38(x41041,f892(x41042,a882)),x41043),f822(f822(f10(f892(x41044,a882),f892(x41042,a882),x41041),f274(x41044,x41042,x41045)),x41046)),f822(f274(x41044,x41042,x41045),f822(f822(f38(x41041,f892(x41044,a882)),x41043),x41046)))
% 218.59/218.71 [4105]E(f822(f822(f38(x41051,f892(x41052,a882)),x41053),f822(f822(f10(f892(x41054,a882),f892(x41052,a882),x41051),f300(x41052,x41054,x41055)),x41056)),f822(f300(x41052,x41054,x41055),f822(f822(f38(x41051,f892(x41054,a882)),x41053),x41056)))
% 218.59/218.71 [4106]E(f822(f822(f39(x41061,f892(x41062,a882)),x41063),f822(f822(f10(f892(x41064,a882),f892(x41062,a882),x41061),f300(x41062,x41064,x41065)),x41066)),f822(f300(x41062,x41064,x41065),f822(f822(f39(x41061,f892(x41064,a882)),x41063),x41066)))
% 218.59/218.71 [4191]E(f822(f134(x41911,x41912,f822(f9(x41912,x41911,x41911),x41913),x41914),f822(f160(x41912),f822(f822(f143(x41912),x41915),x41916))),f822(f822(x41913,x41915),f822(f134(x41911,x41912,f822(f9(x41912,x41911,x41911),x41913),x41914),f822(f160(x41912),x41916))))
% 218.59/218.71 [4247]E(f822(f822(f20(f891(x42471,x42472),x42472,x42473),f822(f822(f10(x42474,f892(x42472,x42473),f891(x42471,x42472)),x42475),f822(f822(f10(x42471,x42474,f891(x42471,x42472)),x42476),f242(x42471,x42472)))),f247(x42471,x42472)),f822(f248(x42471,x42472,x42473),f822(f822(f10(x42474,f892(x42472,x42473),x42471),x42475),x42476)))
% 218.59/218.71 [4254]E(f822(f134(x42541,x42542,f822(f9(x42542,x42541,x42541),x42543),f822(f134(x42541,x42542,f822(f9(x42542,x42541,x42541),x42543),x42544),f822(f160(x42542),x42545))),f822(f160(x42542),x42546)),f822(f134(x42541,x42542,f822(f9(x42542,x42541,x42541),x42543),x42544),f822(f160(x42542),f822(f822(f126(x42542),x42546),x42545))))
% 218.59/218.71 [4256]E(f822(f822(f146(f891(x42561,x42562),f891(x42563,x42562)),f822(f248(x42561,x42562,f891(x42563,x42562)),f822(f822(f10(x42563,f892(x42562,f891(x42563,x42562)),x42561),f243(x42563,x42562)),x42564))),f822(f822(f173(x42561,x42562),x42565),x42566)),f822(f822(f173(x42563,x42562),f822(f822(f146(x42561,x42563),x42564),x42565)),x42566))
% 218.59/218.71 [4301]P144(f822(f822(f226(f892(x43011,a882)),f822(f274(x43012,x43011,x43013),f822(f822(f39(x43014,f892(x43012,a882)),x43015),x43016))),f822(f822(f39(x43014,f892(x43011,a882)),x43015),f822(f822(f10(f892(x43012,a882),f892(x43011,a882),x43014),f274(x43012,x43011,x43013)),x43016))))
% 218.59/218.71 [4116]E(f822(f822(f173(x41161,x41162),f822(f822(f151(x41161,x41163),x41164),f822(f242(x41161,x41162),x41165))),f822(f822(f151(x41162,x41166),x41164),f822(f247(x41161,x41162),x41165))),f822(f822(f151(f891(x41161,x41162),f822(f822(f173(x41161,x41162),x41163),x41166)),x41164),x41165))
% 218.59/218.71 [4174]E(f822(f822(f96(f892(f891(x41741,x41742),a882)),f822(f822(f278(x41741,x41743,x41742),x41744),x41745)),f822(f822(f278(x41741,x41743,x41742),x41744),x41746)),f822(f822(f278(x41741,x41743,x41742),x41744),f822(f822(f96(f892(f891(x41743,x41742),a882)),x41745),x41746)))
% 218.59/218.71 [4266]E(f822(f822(f298(f891(x42661,x42662)),f822(f822(f243(x42661,x42662),x42663),x42664)),f822(f822(f96(f892(f891(x42661,x42662),a882)),f822(f822(f245(x42661,x42662),x42665),f822(f18(f892(x42662,a882),x42661),f822(f822(f298(x42662),x42664),x42666)))),f822(f822(f245(x42661,x42662),f822(f822(f298(x42661),x42663),x42665)),f822(f18(f892(x42662,a882),x42661),x42666)))),f822(f822(f245(x42661,x42662),f822(f822(f298(x42661),x42663),x42665)),f822(f18(f892(x42662,a882),x42661),f822(f822(f298(x42662),x42664),x42666))))
% 218.59/218.71 [4344]E(f822(f822(f97(f892(x43441,a882)),f822(f300(x43441,x43442,f822(f72(f891(x43442,x43443),x43442,x43441,f242(x43442,x43443)),x43444)),x43445)),f822(f300(x43441,x43443,f822(f72(f891(x43442,x43443),x43443,x43441,f247(x43442,x43443)),x43444)),x43446)),f822(f300(x43441,f891(x43442,x43443),x43444),f822(f822(f245(x43442,x43443),x43445),f822(f18(f892(x43443,a882),x43442),x43446))))
% 218.59/218.71 [4197]E(f822(f822(f96(f892(f891(x41971,x41972),a882)),f822(f822(f278(x41971,x41973,x41972),x41974),x41975)),f822(f822(f278(x41971,x41973,x41972),x41976),x41975)),f822(f822(f278(x41971,x41973,x41972),f822(f822(f96(f892(f891(x41971,x41973),a882)),x41974),x41976)),x41975))
% 218.59/218.71 [4326]E(f822(f822(f38(x43261,f892(x43262,a882)),x43263),f822(f822(f9(x43261,f892(x43264,f892(x43262,a882)),f892(x43262,a882)),f822(f822(f10(f892(x43264,a882),f892(f892(x43264,f892(x43262,a882)),f892(x43262,a882)),x43261),f38(x43264,f892(x43262,a882))),x43265)),x43266)),f822(f822(f38(x43264,f892(x43262,a882)),f822(f822(f38(x43261,f892(x43264,a882)),x43263),x43265)),x43266))
% 218.59/218.71 [4327]E(f822(f822(f39(x43271,f892(x43272,a882)),x43273),f822(f822(f9(x43271,f892(x43274,f892(x43272,a882)),f892(x43272,a882)),f822(f822(f10(f892(x43274,a882),f892(f892(x43274,f892(x43272,a882)),f892(x43272,a882)),x43271),f39(x43274,f892(x43272,a882))),x43275)),x43276)),f822(f822(f39(x43274,f892(x43272,a882)),f822(f822(f38(x43271,f892(x43274,a882)),x43273),x43275)),x43276))
% 218.59/218.71 [4378]E(f822(f248(x43781,x43782,f891(x43783,x43784)),f822(f822(f9(x43781,f892(x43782,x43784),f892(x43782,f891(x43783,x43784))),f822(f822(f10(f892(x43784,f891(x43783,x43784)),f892(f892(x43782,x43784),f892(x43782,f891(x43783,x43784))),x43781),f10(x43784,f891(x43783,x43784),x43782)),f822(f822(f10(x43783,f892(x43784,f891(x43783,x43784)),x43781),f243(x43783,x43784)),x43785))),x43786)),f249(x43781,x43783,x43782,x43784,x43785,x43786))
% 218.59/218.71 [4401]E(f822(f299(x44011,x44012,f822(f822(f20(x44011,x44012,x44012),f822(f822(f20(x44011,x44012,f892(x44012,x44012)),f822(f822(f10(a882,f892(x44012,f892(x44012,x44012)),x44011),f90(x44012)),x44013)),x44014)),x44015)),x44016),f822(f822(f96(f892(x44012,a882)),f822(f299(x44011,x44012,x44014),f822(f822(f97(f892(x44011,a882)),x44016),f822(f253(x44011),x44013)))),f822(f299(x44011,x44012,x44015),f822(f822(f97(f892(x44011,a882)),x44016),f822(f253(x44011),f822(f822(f10(a882,a882,x44011),a311),x44013))))))
% 218.59/218.71 [4413]E(f822(f299(x44131,f891(x44132,x44133),f822(f822(f20(x44131,x44133,f891(x44132,x44133)),f822(f822(f10(x44132,f892(x44133,f891(x44132,x44133)),x44131),f243(x44132,x44133)),x44134)),x44135)),x44136),f822(f822(f245(x44132,x44133),f822(f299(x44131,x44132,x44134),x44136)),f822(f822(f10(f892(x44131,a882),f892(x44133,a882),x44132),f299(x44131,x44133,x44135)),f822(f822(f9(x44132,f892(x44131,a882),f892(x44131,a882)),f822(f822(f10(f892(x44131,a882),f892(f892(x44131,a882),f892(x44131,a882)),x44132),f97(f892(x44131,a882))),f822(f822(f10(f892(x44132,a882),f892(x44131,a882),x44132),f300(x44131,x44132,x44134)),f822(f822(f9(x44132,f892(x44132,a882),f892(x44132,a882)),f298(x44132)),f182(f892(x44132,a882)))))),x44136))))
% 218.59/218.71 [4438]E(f237(x44381,x44382,x44383,x44384,x44385,x44386),f822(x44384,f822(f253(x44381),f822(f822(f10(f892(f892(x44383,x44381),a882),a882,x44381),f86(f892(x44383,x44381))),f822(f822(f10(f892(f892(x44383,x44381),a882),f892(f892(x44383,x44381),a882),x44381),f822(f20(f892(x44383,x44381),a882,a882),f822(f822(f10(a882,f892(a882,a882),f892(x44383,x44381)),a315),f822(f822(f9(f892(x44383,x44381),f892(f892(x44383,x44381),a882),a882),f318(f892(x44383,x44381))),x44385)))),f822(f822(f9(x44381,f892(f892(x44383,x44381),x44381),f892(f892(x44383,x44381),a882)),f822(f822(f10(f892(x44381,a882),f892(f892(f892(x44383,x44381),x44381),f892(f892(x44383,x44381),a882)),x44381),f10(x44381,a882,f892(x44383,x44381))),a314)),f822(f822(f9(f892(x44383,x44381),x44383,x44381),f7(f892(x44383,x44381))),x44386)))))))
% 218.59/218.71 [4228]E(f822(f72(x42281,x42282,x42283,x42284),f74(x42283,x42281,x42285,x42286,x42287)),f74(x42283,x42282,f822(f72(x42281,x42282,x42283,x42284),x42285),x42286,f822(x42284,x42287)))
% 218.59/218.71 [4361]E(f822(f247(x43611,x43612),f822(f249(x43613,x43611,x43614,x43612,x43615,x43616),x43617)),f822(x43616,f822(f247(x43613,x43614),x43617)))
% 218.59/218.71 [4362]E(f822(f242(x43621,x43622),f822(f249(x43623,x43621,x43624,x43622,x43625,x43626),x43627)),f822(x43625,f822(f242(x43623,x43624),x43627)))
% 218.59/218.71 [4079]E(f822(f822(f173(x40791,x40792),f822(f822(f151(x40791,x40793),x40794),x40795)),f822(f822(f151(x40792,x40796),x40794),x40797)),f822(f822(f151(f891(x40791,x40792),f822(f822(f173(x40791,x40792),x40793),x40796)),x40794),f822(f822(f243(x40791,x40792),x40795),x40797)))
% 218.59/218.71 [4146]E(f822(f822(f822(f250(x41461,x41462,x41463,x41464),x41465),x41466),x41467),f822(f822(f248(x41462,x41463,x41464),x41466),f822(x41465,x41467)))
% 218.59/218.71 [4156]E(f822(f822(f822(f250(x41561,x41562,x41563,x41564),x41565),x41566),x41567),f822(f822(x41566,f822(f242(x41562,x41563),f822(x41565,x41567))),f822(f247(x41562,x41563),f822(x41565,x41567))))
% 218.59/218.71 [4206]E(f822(f72(x42061,x42062,x42063,x42064),f822(f72(x42065,x42061,x42063,x42066),x42067)),f822(f72(x42065,x42062,x42063,f822(f72(x42061,x42062,x42065,x42064),x42066)),x42067))
% 218.59/218.71 [4382]E(f822(f249(x43821,x43822,x43823,x43823,x43824,f31(x43823)),f822(f249(x43821,x43821,x43825,x43823,f31(x43821),x43826),x43827)),f822(f822(f243(x43822,x43823),f822(x43824,f822(f242(x43821,x43825),x43827))),f822(x43826,f822(f247(x43821,x43825),x43827))))
% 218.59/218.71 [4383]E(f822(f249(x43831,x43831,x43832,x43833,f31(x43831),x43834),f822(f249(x43835,x43831,x43832,x43832,x43836,f31(x43832)),x43837)),f822(f822(f243(x43831,x43833),f822(x43836,f822(f242(x43835,x43832),x43837))),f822(x43834,f822(f247(x43835,x43832),x43837))))
% 218.59/218.71 [4399]E(f822(f249(x43991,x43992,x43993,x43993,x43994,f31(x43993)),f822(f249(x43995,x43991,x43993,x43993,x43996,f31(x43993)),x43997)),f822(f249(x43995,x43992,x43993,x43993,f822(f72(x43991,x43992,x43995,x43994),x43996),f31(x43993)),x43997))
% 218.59/218.71 [4400]E(f822(f249(x44001,x44001,x44002,x44003,f31(x44001),x44004),f822(f249(x44001,x44001,x44005,x44002,f31(x44001),x44006),x44007)),f822(f249(x44001,x44001,x44005,x44003,f31(x44001),f822(f72(x44002,x44003,x44005,x44004),x44006)),x44007))
% 218.59/218.71 [4410]E(f822(f249(x44101,x44102,x44103,x44103,x44104,f31(x44103)),f822(f249(x44101,x44101,x44105,x44103,f31(x44101),x44106),x44107)),f822(f249(x44102,x44102,x44105,x44103,f31(x44102),x44106),f822(f249(x44101,x44102,x44105,x44105,x44104,f31(x44105)),x44107)))
% 218.59/218.71 [4113]E(f822(f822(f278(x41131,x41132,x41133),f822(f822(f278(x41131,x41134,x41132),x41135),x41136)),x41137),f822(f822(f278(x41131,x41134,x41133),x41135),f822(f822(f278(x41134,x41132,x41133),x41136),x41137)))
% 218.59/218.71 [4180]E(f822(f822(f248(x41801,x41802,x41803),f822(f72(x41804,f892(x41802,x41803),x41801,x41805),x41806)),x41807),f822(f822(x41805,f822(x41806,f822(f242(x41801,x41802),x41807))),f822(f247(x41801,x41802),x41807)))
% 218.59/218.71 [4259]E(f822(f134(x42591,x42592,f822(f9(x42592,x42591,x42591),x42593),x42594),f822(f160(x42592),f822(f822(f146(x42595,x42592),x42596),x42597))),f822(f134(x42591,x42595,f822(f9(x42595,x42591,x42591),f822(f72(x42592,f892(x42591,x42591),x42595,x42593),x42596)),x42594),f822(f160(x42595),x42597)))
% 218.59/218.71 [4207]E(f822(f822(f38(x42071,f892(f891(x42072,x42073),a882)),x42074),f822(f822(f10(f892(f891(x42075,x42073),a882),f892(f891(x42072,x42073),a882),x42071),f822(f278(x42072,x42075,x42073),x42076)),x42077)),f822(f822(f278(x42072,x42075,x42073),x42076),f822(f822(f38(x42071,f892(f891(x42075,x42073),a882)),x42074),x42077)))
% 218.59/218.71 [4349]E(f822(f822(f38(x43491,f892(f891(x43492,x43493),a882)),x43494),f822(f822(f9(x43491,f892(f891(x43495,x43493),a882),f892(f891(x43492,x43493),a882)),f822(f822(f10(f892(f891(x43492,x43495),a882),f892(f892(f891(x43495,x43493),a882),f892(f891(x43492,x43493),a882)),x43491),f278(x43492,x43495,x43493)),x43496)),x43497)),f822(f822(f278(x43492,x43495,x43493),f822(f822(f38(x43491,f892(f891(x43492,x43495),a882)),x43494),x43496)),x43497))
% 218.59/218.71 [4350]E(f822(f134(x43501,x43502,f822(f822(f9(x43501,f892(x43502,x43503),f892(x43502,x43501)),f822(f822(f10(f892(x43503,x43501),f892(f892(x43502,x43503),f892(x43502,x43501)),x43501),f10(x43503,x43501,x43502)),x43504)),x43505),x43506),x43507),f822(f134(x43501,x43503,x43504,x43506),f822(f822(f146(x43502,x43503),x43505),x43507)))
% 218.59/218.71 [4411]E(f822(f822(f39(x44111,f892(x44112,a882)),x44113),f822(f822(f10(f892(x44114,f892(x44112,a882)),f892(x44112,a882),x44111),f822(f39(x44114,f892(x44112,a882)),x44115)),f822(f822(f9(x44111,f892(x44114,f892(x44112,a882)),f892(x44114,f892(x44112,a882))),f822(f822(f10(f892(f892(x44112,a882),f892(x44112,a882)),f892(f892(x44114,f892(x44112,a882)),f892(x44114,f892(x44112,a882))),x44111),f10(f892(x44112,a882),f892(x44112,a882),x44114)),f822(f822(f10(f892(x44112,a882),f892(f892(x44112,a882),f892(x44112,a882)),x44111),f96(f892(x44112,a882))),x44116))),x44117))),f822(f822(f96(f892(x44112,a882)),f822(f822(f39(x44111,f892(x44112,a882)),x44113),x44116)),f822(f822(f39(x44114,f892(x44112,a882)),x44115),x44117)))
% 218.59/218.71 [4412]E(f822(f822(f38(x44121,f892(x44122,a882)),x44123),f822(f822(f10(f892(x44124,f892(x44122,a882)),f892(x44122,a882),x44121),f822(f38(x44124,f892(x44122,a882)),x44125)),f822(f822(f9(x44121,f892(x44124,f892(x44122,a882)),f892(x44124,f892(x44122,a882))),f822(f822(f10(f892(f892(x44122,a882),f892(x44122,a882)),f892(f892(x44124,f892(x44122,a882)),f892(x44124,f892(x44122,a882))),x44121),f10(f892(x44122,a882),f892(x44122,a882),x44124)),f822(f822(f10(f892(x44122,a882),f892(f892(x44122,a882),f892(x44122,a882)),x44121),f97(f892(x44122,a882))),x44126))),x44127))),f822(f822(f97(f892(x44122,a882)),f822(f822(f38(x44121,f892(x44122,a882)),x44123),x44126)),f822(f822(f38(x44124,f892(x44122,a882)),x44125),x44127)))
% 218.59/218.71 [4404]E(f191(x44041,x44042,f822(f822(f822(x44043,x44044),x44045),x44046),f822(f822(f9(x44041,f891(a94,a94),f892(a94,f886(x44042))),f822(f822(f9(x44041,a94,f892(f891(a94,a94),f892(a94,f886(x44042)))),f822(f822(f9(x44041,a94,f892(a94,f892(f891(a94,a94),f892(a94,f886(x44042))))),x44047),x44044)),x44045)),x44046)),f822(f822(f822(f203(x44041,x44042,x44043,x44047),x44044),x44045),x44046))
% 218.59/218.71 [4418]E(f192(x44181,x44182,f822(f822(f822(x44183,x44184),x44185),x44186),f822(f822(f9(x44181,f891(a94,a94),f892(a94,f886(x44182))),f822(f822(f9(x44181,a94,f892(f891(a94,a94),f892(a94,f886(x44182)))),f822(f822(f9(x44181,a94,f892(a94,f892(f891(a94,a94),f892(a94,f886(x44182))))),x44187),x44184)),x44185)),x44186)),f205(x44181,x44182,x44183,x44187,x44184,x44185,x44186))
% 218.59/218.71 [4409]E(f189(x44091,x44092,f822(f822(f822(x44093,x44094),x44095),x44096),f822(f822(f9(x44091,f891(a94,a94),f892(a94,f886(f889(x44092)))),f822(f822(f9(x44091,a94,f892(f891(a94,a94),f892(a94,f886(f889(x44092))))),f822(f822(f9(x44091,a94,f892(a94,f892(f891(a94,a94),f892(a94,f886(f889(x44092)))))),x44097),x44094)),x44095)),x44096)),f822(f822(f822(f199(x44091,x44092,x44093,x44097),x44094),x44095),x44096))
% 218.59/218.71 [4420]E(f190(x44201,x44202,f822(f822(f822(x44203,x44204),x44205),x44206),f822(f822(f9(x44201,f891(a94,a94),f892(a94,f886(f889(x44202)))),f822(f822(f9(x44201,a94,f892(f891(a94,a94),f892(a94,f886(f889(x44202))))),f822(f822(f9(x44201,a94,f892(a94,f892(f891(a94,a94),f892(a94,f886(f889(x44202)))))),x44207),x44204)),x44205)),x44206)),f201(x44201,x44202,x44203,x44207,x44204,x44205,x44206))
% 218.59/218.71 [4320]E(f822(f249(x43201,x43202,x43203,x43204,x43205,x43206),f822(f822(f243(x43201,x43203),x43207),x43208)),f822(f822(f243(x43202,x43204),f822(x43205,x43207)),f822(x43206,x43208)))
% 218.59/218.71 [4422]E(f822(f822(f146(f891(x44221,x44222),f891(x44223,x44224)),f822(f248(x44221,x44222,f891(x44223,x44224)),f822(f822(f9(x44221,f892(x44222,x44224),f892(x44222,f891(x44223,x44224))),f822(f822(f10(f892(x44224,f891(x44223,x44224)),f892(f892(x44222,x44224),f892(x44222,f891(x44223,x44224))),x44221),f10(x44224,f891(x44223,x44224),x44222)),f822(f822(f10(x44223,f892(x44224,f891(x44223,x44224)),x44221),f243(x44223,x44224)),x44225))),x44226))),f822(f822(f173(x44221,x44222),x44227),x44228)),f822(f822(f173(x44223,x44224),f822(f822(f146(x44221,x44223),x44225),x44227)),f822(f822(f146(x44222,x44224),x44226),x44228)))
% 218.59/218.71 [4425]E(f822(f822(f146(f891(x44251,x44252),x44253),f822(f248(x44251,x44252,x44253),f822(f822(f10(f892(x44252,f891(x44251,x44254)),f892(x44252,x44253),x44251),f822(f10(f891(x44251,x44254),x44253,x44252),x44255)),f822(f822(f9(x44251,f892(x44252,x44254),f892(x44252,f891(x44251,x44254))),f822(f822(f10(f892(x44254,f891(x44251,x44254)),f892(f892(x44252,x44254),f892(x44252,f891(x44251,x44254))),x44251),f10(x44254,f891(x44251,x44254),x44252)),f243(x44251,x44254))),x44256)))),f822(f822(f173(x44251,x44252),x44257),x44258)),f822(f822(f146(f891(x44251,x44254),x44253),x44255),f822(f822(f173(x44251,x44254),x44257),f822(f822(f146(x44252,x44254),x44256),x44258))))
% 218.59/218.71 [4353]E(f822(f822(f146(f891(x43531,x43532),x43533),f822(f248(x43531,x43532,x43533),f822(f822(f10(f892(x43532,f891(x43534,x43532)),f892(x43532,x43533),x43531),f822(f10(f891(x43534,x43532),x43533,x43532),x43535)),f822(f822(f10(x43534,f892(x43532,f891(x43534,x43532)),x43531),f243(x43534,x43532)),x43536)))),f822(f822(f173(x43531,x43532),x43537),x43538)),f822(f822(f146(f891(x43534,x43532),x43533),x43535),f822(f822(f173(x43534,x43532),f822(f822(f146(x43531,x43534),x43536),x43537)),x43538)))
% 218.59/218.71 [4311]E(f822(f822(f248(x43111,x43112,x43113),f822(f822(f10(f892(x43112,f891(x43114,x43115)),f892(x43112,x43113),x43111),f822(f10(f891(x43114,x43115),x43113,x43112),f822(f248(x43114,x43115,x43113),x43116))),x43117)),x43118),f822(f822(f248(x43114,x43115,x43113),x43116),f822(f822(f248(x43111,x43112,f891(x43114,x43115)),x43117),x43118)))
% 218.59/218.71 [4426]E(f822(f822(f38(f891(x44261,x44262),f892(f891(x44263,x44264),a882)),f822(f822(f245(x44261,x44262),x44265),f822(f18(f892(x44262,a882),x44261),x44266))),f822(f248(x44261,x44262,f892(f891(x44263,x44264),a882)),f822(f822(f9(x44261,f892(x44262,f892(x44263,f892(x44264,a882))),f892(x44262,f892(f891(x44263,x44264),a882))),f822(f822(f10(f892(f892(x44263,f892(x44264,a882)),f892(f891(x44263,x44264),a882)),f892(f892(x44262,f892(x44263,f892(x44264,a882))),f892(x44262,f892(f891(x44263,x44264),a882))),x44261),f10(f892(x44263,f892(x44264,a882)),f892(f891(x44263,x44264),a882),x44262)),f822(f822(f10(f892(x44263,a882),f892(f892(x44263,f892(x44264,a882)),f892(f891(x44263,x44264),a882)),x44261),f245(x44263,x44264)),x44267))),f822(f822(f10(f892(x44264,a882),f892(x44263,f892(x44264,a882)),x44262),f18(f892(x44264,a882),x44263)),x44268)))),f822(f822(f245(x44263,x44264),f822(f822(f38(x44261,f892(x44263,a882)),x44265),x44267)),f822(f18(f892(x44264,a882),x44263),f822(f822(f38(x44262,f892(x44264,a882)),x44266),x44268))))
% 218.59/218.71 [4367]E(f822(f822(f250(x43671,x43672,x43673,x43674),f822(f822(f250(x43671,x43675,x43676,f891(x43672,x43673)),x43677),x43678)),x43679),f822(f822(f250(x43671,x43675,x43676,x43674),x43677),f822(f822(f9(x43675,f892(x43672,f892(x43673,x43674)),f892(x43676,x43674)),f822(f822(f10(f892(x43676,f891(x43672,x43673)),f892(f892(x43672,f892(x43673,x43674)),f892(x43676,x43674)),x43675),f250(x43676,x43672,x43673,x43674)),x43678)),x43679)))
% 218.59/218.71 [4396]E(f822(f72(f891(x43961,x43962),f891(x43963,x43964),f891(x43965,x43966),f249(x43961,x43963,x43962,x43964,x43967,x43968)),f249(x43965,x43961,x43966,x43962,x43969,x439610)),f249(x43965,x43963,x43966,x43964,f822(f72(x43961,x43963,x43965,x43967),x43969),f822(f72(x43962,x43964,x43966,x43968),x439610)))
% 218.59/218.71 [4402]E(f822(f249(x44021,x44022,x44023,x44024,x44025,x44026),f822(f249(x44027,x44021,x44028,x44023,x44029,x440210),x440211)),f822(f249(x44027,x44022,x44028,x44024,f822(f72(x44021,x44022,x44027,x44025),x44029),f822(f72(x44023,x44024,x44028,x44026),x440210)),x440211))
% 218.59/218.71 [4549]~P62(x45491)+P62(f889(x45491))
% 218.59/218.71 [4550]~P63(x45501)+P63(f889(x45501))
% 218.59/218.71 [4551]~P106(x45511)+P106(f887(x45511))
% 218.59/218.71 [4554]~P146(x45541)+~E(f77(x45541),f2(x45541))
% 218.59/218.71 [4556]~E(x45561,f2(a94))+E(f822(a24,x45561),f2(a1))
% 218.59/218.71 [4557]~E(x45571,f2(a1))+E(f81(a1,x45571),f2(a1))
% 218.59/218.71 [4565]~P1(x45651)+P28(x45651,f2(x45651))
% 218.59/218.71 [4567]~P92(x45671)+P15(x45671,f108(x45671))
% 218.59/218.71 [4576]P144(x45761)+P144(f822(a311,x45761))
% 218.59/218.71 [4630]~P1(x46301)+~P28(x46301,f77(x46301))
% 218.59/218.71 [4671]~P144(x46711)+~P144(f822(a311,x46711))
% 218.59/218.71 [4692]E(f822(a100,x46921),f2(a885))+~P144(f822(a187,x46921))
% 218.59/218.71 [4758]~P98(x47581)+P16(x47581,x47581,f80(x47581))
% 218.59/218.71 [4759]~P92(x47591)+P16(x47591,x47591,f230(x47591))
% 218.59/218.71 [4760]~P92(x47601)+P16(x47601,x47601,f181(x47601))
% 218.59/218.71 [4761]~P99(x47611)+P16(x47611,x47611,f96(x47611))
% 218.59/218.71 [4762]~P105(x47621)+P16(x47621,x47621,f97(x47621))
% 218.59/218.71 [4763]~P70(x47631)+P18(x47631,x47631,f80(x47631))
% 218.59/218.71 [4560]E(x45601,f2(a885))+E(f822(a107,f824(x45601)),x45601)
% 218.59/218.71 [4561]E(x45611,f2(a885))+E(f822(a107,f322(x45611)),x45611)
% 218.59/218.71 [4562]~E(x45621,f2(a885))+E(f822(f95(a1),x45621),f2(a1))
% 218.59/218.71 [4569]~P96(x45691)+E(f822(f99(x45691),a82),f2(x45691))
% 218.59/218.71 [4572]~E(f555(x45721),f2(a885))+E(f822(f157(a885),x45721),f2(a885))
% 218.59/218.71 [4573]~P109(x45731)+E(f228(x45731,f226(x45731)),f230(x45731))
% 218.59/218.71 [4574]~P109(x45741)+E(f229(x45741,f226(x45741)),f181(x45741))
% 218.59/218.71 [4575]~P87(x45751)+E(f81(x45751,f2(x45751)),f2(x45751))
% 218.59/218.71 [4584]~P1(x45841)+E(f822(f95(x45841),f2(a885)),f2(x45841))
% 218.59/218.71 [4585]~P1(x45851)+E(f822(f95(x45851),f77(a885)),f77(x45851))
% 218.59/218.71 [4586]~P127(x45861)+E(f822(f98(x45861),f2(a1)),f2(x45861))
% 218.59/218.71 [4587]~P127(x45871)+E(f822(f98(x45871),f77(a1)),f77(x45871))
% 218.59/218.71 [4588]E(x45881,f2(a885))+~E(f822(f95(a1),x45881),f2(a1))
% 218.59/218.71 [4624]~P75(x46241)+E(f822(f78(x46241),f2(x46241)),f2(x46241))
% 218.59/218.71 [4625]~P97(x46251)+E(f822(f78(x46251),f233(x46251)),f182(x46251))
% 218.59/218.71 [4626]~P97(x46261)+E(f822(f78(x46261),f182(x46261)),f233(x46261))
% 218.59/218.71 [4627]~P84(x46271)+E(f822(f75(x46271),f2(x46271)),f2(x46271))
% 218.59/218.71 [4628]~P111(x46281)+E(f822(f75(x46281),f77(x46281)),f77(x46281))
% 218.59/218.71 [4629]~P73(x46291)+E(f822(f157(x46291),f108(x46291)),f2(x46291))
% 218.59/218.71 [4647]~P35(x46471)+P39(f822(f164(a1),x46471))
% 218.59/218.71 [4676]~P96(x46761)+E(f822(f78(x46761),f77(x46761)),f822(f99(x46761),a92))
% 218.59/218.71 [4691]~P96(x46911)+P28(x46911,f822(f99(x46911),a82))
% 218.59/218.71 [4717]P35(x47171)+~P39(f822(f164(a1),x47171))
% 218.59/218.71 [4764]E(f822(f95(a1),f822(a100,x47641)),x47641)+P144(f822(a187,x47641))
% 218.59/218.71 [4834]~P115(x48341)+E(f236(x48341,f77(x48341),f80(x48341)),f235(x48341))
% 218.59/218.71 [4867]~P96(x48671)+~P28(x48671,f822(f99(x48671),a92))
% 218.59/218.71 [5020]E(f822(f75(a1),x50201),x50201)+P144(f822(f822(f227(a1),x50201),f2(a1)))
% 218.59/218.71 [5038]~E(f822(a100,x50381),f2(a885))+P144(f822(f822(f226(a1),x50381),f2(a1)))
% 218.59/218.71 [5071]~E(f822(f75(a1),x50711),f77(a1))+P144(f822(f822(f276(a1),x50711),f77(a1)))
% 218.59/218.71 [5105]~P144(f822(a187,x51051))+P144(f822(f822(f227(a1),x51051),f2(a1)))
% 218.59/218.71 [5145]~P90(x51451)+P144(f822(f822(f227(x51451),f2(x51451)),f77(x51451)))
% 218.59/218.71 [5146]~P90(x51461)+P144(f822(f822(f226(x51461),f2(x51461)),f77(x51461)))
% 218.59/218.71 [5147]~P1(x51471)+P144(f822(f822(f318(x51471),f2(x51471)),f178(x51471)))
% 218.59/218.71 [5148]~P127(x51481)+P144(f822(f822(f318(x51481),f2(x51481)),f105(x51481)))
% 218.59/218.71 [5149]~P1(x51491)+P144(f822(f822(f318(x51491),f77(x51491)),f178(x51491)))
% 218.59/218.71 [5150]~P127(x51501)+P144(f822(f822(f318(x51501),f77(x51501)),f105(x51501)))
% 218.59/218.71 [5202]E(x52021,f2(a885))+~P144(f822(f822(f226(a885),x52021),f2(a885)))
% 218.59/218.71 [5203]E(x52031,f77(a885))+~P144(f822(f822(f276(a885),x52031),f77(a885)))
% 218.59/218.71 [5246]E(f822(a100,x52461),f2(a885))+~P144(f822(f822(f226(a1),x52461),f2(a1)))
% 218.59/218.71 [5276]E(f822(f75(a1),x52761),f77(a1))+~P144(f822(f822(f276(a1),x52761),f77(a1)))
% 218.59/218.71 [5310]P144(f822(a187,x53101))+~P144(f822(f822(f227(a1),x53101),f2(a1)))
% 218.59/218.71 [5317]~P92(x53171)+P18(x53171,f887(x53171),f140(x53171,x53171,f7(x53171)))
% 218.59/218.71 [5336]P39(x53361)+~P144(f822(f822(f226(a1),f2(a1)),f323(x53361)))
% 218.59/218.71 [5341]E(f822(f75(a1),x53411),f822(f78(a1),x53411))+~P144(f822(f822(f227(a1),x53411),f2(a1)))
% 218.59/218.71 [5512]~P90(x55121)+~P144(f822(f822(f227(x55121),f77(x55121)),f2(x55121)))
% 218.59/218.71 [5513]~P90(x55131)+~P144(f822(f822(f226(x55131),f77(x55131)),f2(x55131)))
% 218.59/218.71 [5529]~E(x55291,f2(a1))+P144(f822(f822(f227(a1),f822(f75(a1),x55291)),f77(a1)))
% 218.59/218.71 [5530]~E(x55301,f2(a885))+P144(f822(f822(f226(a1),f822(f95(a1),x55301)),f2(a1)))
% 218.59/218.71 [5653]~P73(x56531)+E(f134(x56531,x56531,f79(x56531),f2(x56531)),f157(x56531))
% 218.59/218.71 [5838]~P93(x58381)+P26(a885,x58381,f95(x58381),f233(f892(a885,a882)))
% 218.59/218.71 [6043]E(x60431,f2(a885))+~P144(f822(f822(f226(a1),f822(f95(a1),x60431)),f2(a1)))
% 218.59/218.71 [6044]E(x60441,f2(a1))+~P144(f822(f822(f227(a1),f822(f75(a1),x60441)),f77(a1)))
% 218.59/218.71 [6886]~P144(f822(f822(f227(a1),x68861),f2(a1)))+P144(f822(f822(f227(a1),f822(f822(f79(a1),x68861),x68861)),f2(a1)))
% 218.59/218.71 [7466]P144(f822(f822(f227(a1),x74661),f2(a1)))+~P144(f822(f822(f227(a1),f822(f822(f79(a1),x74661),x74661)),f2(a1)))
% 218.59/218.71 [8029]E(x80291,f822(a5,f2(a885)))+P144(f822(f822(f227(a885),f822(f822(f3(a885),f822(a22,x80291)),f822(a107,f2(a885)))),f822(a22,x80291)))
% 218.59/218.71 [8774]~P144(f822(f822(f227(a1),x87741),f2(a1)))+P144(f822(f822(f227(a1),f822(f822(f3(a1),f822(f822(f79(a1),x87741),x87741)),a92)),f2(a1)))
% 218.59/218.71 [8862]~P144(f822(f822(f227(a1),x88621),f2(a1)))+P144(f822(f822(f227(a1),f822(f822(f79(a1),f822(f822(f79(a1),f77(a1)),x88621)),x88621)),f2(a1)))
% 218.59/218.71 [9173]P144(f822(f822(f227(a1),x91731),f2(a1)))+~P144(f822(f822(f227(a1),f822(f822(f3(a1),f822(f822(f79(a1),x91731),x91731)),a92)),f2(a1)))
% 218.59/218.71 [9246]P144(f822(f822(f227(a1),x92461),f2(a1)))+~P144(f822(f822(f227(a1),f822(f822(f79(a1),f822(f822(f79(a1),f77(a1)),x92461)),x92461)),f2(a1)))
% 218.59/218.71 [4665]~E(a82,x46651)+E(f822(f822(f79(a1),x46651),x46651),a82)
% 218.59/218.71 [4666]~E(x46661,a82)+E(f822(f822(f79(a1),x46661),x46661),a82)
% 218.59/218.71 [4677]E(x46771,f2(a1))+E(f822(f822(f35(a1),x46771),x46771),f77(a1))
% 218.59/218.71 [4811]E(x48111,a82)+~E(f822(f822(f79(a1),x48111),x48111),a82)
% 218.59/218.71 [4812]E(a82,x48121)+~E(f822(f822(f79(a1),x48121),x48121),a82)
% 218.59/218.71 [4824]~P7(x48241)+E(f37(x48241,f233(f892(x48241,a882))),f182(x48241))
% 218.59/218.71 [4825]~P7(x48251)+E(f37(x48251,f182(f892(x48251,a882))),f233(x48251))
% 218.59/218.71 [4826]~P7(x48261)+E(f36(x48261,f233(f892(x48261,a882))),f233(x48261))
% 218.59/218.71 [4827]~P7(x48271)+E(f36(x48271,f182(f892(x48271,a882))),f182(x48271))
% 218.59/218.71 [4828]~P92(x48281)+E(f131(x48281,f182(f892(x48281,a882))),f108(x48281))
% 218.59/218.71 [4975]E(x49751,f2(a885))+P144(f822(f822(f227(a885),f2(a885)),x49751))
% 218.59/218.71 [4995]~P8(x49951)+P144(f822(f822(f226(a1),f2(a1)),x49951))
% 218.59/218.71 [5029]~E(f822(f99(a885),x50291),f2(a885))+P144(f822(f822(f226(a1),x50291),a82))
% 218.59/218.71 [5034]P39(x50341)+P144(f822(f822(f318(a1),f323(x50341)),x50341))
% 218.59/218.71 [5035]E(x50351,f822(a5,f2(a885)))+P144(f822(f822(f226(a94),f77(a94)),x50351))
% 218.59/218.71 [5077]P144(f822(a187,x50771))+P144(f822(f822(f226(a1),f2(a1)),x50771))
% 218.59/218.71 [5127]E(f822(f95(a1),f822(a100,x51271)),f2(a1))+P144(f822(f822(f226(a1),f2(a1)),x51271))
% 218.59/218.71 [5184]E(f822(f95(a1),f822(f99(a885),x51841)),f822(f99(a1),x51841))+P144(f822(a187,f822(f99(a1),x51841)))
% 218.59/218.71 [5209]E(f822(f99(a885),x52091),f2(a885))+~P144(f822(a187,f822(f99(a1),x52091)))
% 218.59/218.71 [5210]E(f822(f99(a885),x52101),f2(a885))+~P144(f822(f822(f226(a1),x52101),a82))
% 218.59/218.71 [5243]P8(x52431)+~P144(f822(f822(f226(a1),f2(a1)),x52431))
% 218.59/218.71 [5320]E(f822(a107,f357(x53201)),x53201)+~P144(f822(f822(f227(a885),f2(a885)),x53201))
% 218.59/218.71 [5321]E(f822(a107,f368(x53211)),x53211)+~P144(f822(f822(f227(a885),f2(a885)),x53211))
% 218.59/218.71 [5330]E(f822(a107,f822(f99(a885),x53301)),f77(a885))+~P144(f822(a187,f822(f99(a1),x53301)))
% 218.59/218.71 [5337]E(f822(f95(a1),f433(x53371)),x53371)+~P144(f822(f822(f227(a1),f2(a1)),x53371))
% 218.59/218.71 [5344]~E(x53441,f822(a5,f2(a885)))+~P144(f822(f822(f226(a94),f77(a94)),x53441))
% 218.59/218.71 [5351]E(f822(f95(a1),f822(f99(a885),x53511)),f2(a1))+~P144(f822(a187,f822(f99(a1),x53511)))
% 218.59/218.71 [5377]E(f822(f157(a885),x53771),f2(a885))+P144(f822(f822(f318(a885),f555(x53771)),f822(f164(a885),x53771)))
% 218.59/218.71 [5398]E(f822(f95(a1),f822(a100,x53981)),x53981)+~P144(f822(f822(f226(a1),f2(a1)),x53981))
% 218.59/218.71 [5406]~P144(f822(a187,x54061))+~P144(f822(f822(f226(a1),f2(a1)),x54061))
% 218.59/218.71 [5505]E(f822(f822(f79(a885),f77(a885)),f822(f99(a885),x55051)),f77(a885))+~P144(f822(f822(f227(a1),x55051),a82))
% 218.59/218.71 [5571]E(x55711,f2(a885))+~P144(f822(f822(f227(a885),x55711),f822(a107,f2(a885))))
% 218.59/218.71 [5593]E(x55931,f822(a107,f2(a885)))+~P144(f822(f822(f276(a885),x55931),f822(a107,f2(a885))))
% 218.59/218.71 [5611]E(f822(f822(f79(a885),f822(f99(a885),x56111)),f77(a885)),f77(a885))+~P144(f822(f822(f227(a1),x56111),a82))
% 218.59/218.71 [5612]E(f822(f822(f3(a885),f822(f99(a885),x56121)),f77(a885)),f2(a885))+~P144(f822(f822(f226(a1),x56121),a82))
% 218.59/218.71 [5624]~P39(x56241)+E(f822(f34(a885),f822(f299(a1,a885,a100),x56241)),f822(f34(a1),x56241))
% 218.59/218.71 [5654]~P92(x56541)+E(f228(x56541,f822(f9(x56541,x56541,a882),f226(x56541))),f181(x56541))
% 218.59/218.71 [5655]~P92(x56551)+E(f229(x56551,f822(f9(x56551,x56551,a882),f226(x56551))),f230(x56551))
% 218.59/218.71 [5665]E(f44(a885,f822(a107,f2(a885)),f822(f99(a885),x56651)),f822(a107,f2(a885)))+~P144(f822(a187,f822(f99(a1),x56651)))
% 218.59/218.71 [5674]P144(f822(f822(f227(a1),f2(a1)),x56741))+~P144(f822(f822(f226(a1),f77(a1)),x56741))
% 218.59/218.71 [5675]~P144(f822(f822(f227(a1),f2(a1)),x56751))+P144(f822(f822(f226(a1),f77(a1)),x56751))
% 218.59/218.71 [5686]E(f822(a107,f822(f822(f3(a885),x56861),f77(a885))),x56861)+~P144(f822(f822(f227(a885),f2(a885)),x56861))
% 218.59/218.71 [5743]P144(f822(f822(f227(a885),f2(a885)),f433(x57431)))+~P144(f822(f822(f227(a1),f2(a1)),x57431))
% 218.59/218.71 [5803]E(f44(a1,f822(f99(a1),a92),x58031),f822(f822(f3(a1),x58031),f77(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x58031))
% 218.59/218.71 [5852]~P144(f822(f822(f227(a1),a82),x58521))+P144(f822(f822(f227(a885),f2(a885)),f822(f99(a885),x58521)))
% 218.59/218.71 [5906]P144(f822(f822(f227(a885),f2(a885)),f822(a100,x59061)))+~P144(f822(f822(f227(a1),f2(a1)),x59061))
% 218.59/218.71 [5957]~P144(f822(f822(f227(a885),f2(a885)),x59571))+P144(f822(f822(f227(a1),f2(a1)),f822(f95(a1),x59571)))
% 218.59/218.71 [5994]~P144(f822(f822(f227(a885),f2(a885)),f822(a100,x59941)))+P144(f822(f822(f227(a1),f2(a1)),x59941))
% 218.59/218.71 [6009]~P39(x60091)+E(f822(f299(a885,a1,f95(a1)),f822(f299(a1,a885,a100),x60091)),x60091)
% 218.59/218.71 [6022]P144(f822(f822(f227(a1),a82),x60221))+~P144(f822(f822(f227(a885),f2(a885)),f822(f99(a885),x60221)))
% 218.59/218.71 [6083]P144(f822(f822(f227(a885),f2(a885)),x60831))+~P144(f822(f822(f227(a1),f2(a1)),f822(f95(a1),x60831)))
% 218.59/218.71 [6203]E(f822(f299(a885,a1,f95(a1)),f822(f271(a885),f822(a100,x62031))),f822(f291(a1,f2(a1)),x62031))+~P144(f822(f822(f226(a1),f2(a1)),x62031))
% 218.59/218.71 [6221]~P90(x62211)+P144(f822(f822(f227(x62211),f2(x62211)),f822(f822(f79(x62211),f77(x62211)),f77(x62211))))
% 218.59/218.71 [6271]P144(f822(f822(f227(a885),f822(a107,f2(a885))),f822(a100,x62711)))+~P144(f822(f822(f227(a1),f77(a1)),x62711))
% 218.59/218.71 [6377]E(x63771,f2(a1))+P144(f822(f48(f2(a1),x63771),f822(f822(f243(a1,a1),f2(a1)),f2(a1))))
% 218.59/218.71 [6557]~P144(f822(f822(f227(a885),f822(a107,f2(a885))),f822(a100,x65571)))+P144(f822(f822(f227(a1),f77(a1)),x65571))
% 218.59/218.71 [7007]~P117(x70071)+P36(x70071,f822(f253(f891(x70071,x70071)),f822(f248(x70071,x70071,a882),f227(x70071))))
% 218.59/218.71 [5558]E(f822(f99(a885),f822(f822(f3(a1),x55581),a92)),f822(a107,f822(f99(a885),x55581)))+P144(f822(a187,f822(f99(a1),x55581)))
% 218.59/218.71 [5574]~P35(x55741)+E(f822(f822(f146(a885,a1),f95(a1)),f822(f822(f146(a1,a885),a100),x55741)),x55741)
% 218.59/218.71 [5692]E(f822(f78(a1),f822(f95(a1),f822(a107,f456(x56921)))),x56921)+~P144(f822(f822(f227(a1),x56921),f2(a1)))
% 218.59/218.71 [5702]E(f822(f822(f79(a885),f77(a885)),f822(f99(a885),x57021)),f822(f99(a885),f822(f822(f3(a1),x57021),a92)))+P144(f822(f822(f227(a1),x57021),a82))
% 218.59/218.71 [5745]E(f822(f822(f35(a1),f822(f99(a1),a92)),x57451),f822(f99(a1),a92))+~P144(f822(f822(f227(a1),f2(a1)),x57451))
% 218.59/218.71 [5848]E(f822(f822(f79(a885),f822(f99(a885),x58481)),f77(a885)),f822(f99(a885),f822(f822(f3(a1),x58481),a92)))+P144(f822(f822(f227(a1),x58481),a82))
% 218.59/218.71 [5849]E(f822(f822(f3(a885),f822(f99(a885),x58491)),f77(a885)),f822(f99(a885),f822(f822(f79(a1),x58491),a92)))+P144(f822(f822(f226(a1),x58491),a82))
% 218.59/218.71 [5892]E(f822(a100,f822(f822(f79(a1),f77(a1)),x58921)),f822(a107,f822(a100,x58921)))+~P144(f822(f822(f226(a1),f2(a1)),x58921))
% 218.59/218.71 [5928]E(f822(a107,f822(f822(f3(a885),x59281),f822(a107,f2(a885)))),x59281)+~P144(f822(f822(f227(a885),f2(a885)),x59281))
% 218.59/218.71 [6151]E(f44(a885,f822(a107,f2(a885)),f822(f99(a885),x61511)),f822(a100,f44(a1,f77(a1),f822(f99(a1),x61511))))+P144(f822(a187,f822(f99(a1),x61511)))
% 218.59/218.71 [6196]~P144(f822(f822(f227(a1),a92),x61961))+P144(f822(f822(f227(a1),a92),f822(f822(f79(a1),x61961),x61961)))
% 218.59/218.71 [6197]~P144(f822(f822(f227(a1),a82),x61971))+P144(f822(f822(f227(a1),a82),f822(f822(f79(a1),x61971),x61971)))
% 218.59/218.71 [6198]~P144(f822(f822(f227(a1),a92),x61981))+P144(f822(f822(f226(a1),a92),f822(f822(f79(a1),x61981),x61981)))
% 218.59/218.71 [6199]~P144(f822(f822(f226(a1),a82),x61991))+P144(f822(f822(f226(a1),a82),f822(f822(f79(a1),x61991),x61991)))
% 218.59/218.71 [6391]~P144(f822(f60(x63911),f233(f892(x63911,a882))))+P144(f822(f60(f889(x63911)),f233(f892(f889(x63911),a882))))
% 218.59/218.71 [6483]~P144(f822(f822(f226(a1),f2(a1)),x64831))+P144(f822(f822(f227(a1),f2(a1)),f822(f822(f79(a1),f77(a1)),x64831)))
% 218.59/218.71 [6490]E(f822(f242(a1,a1),f46(f77(a1),f822(f99(a1),x64901))),f822(f822(f35(a1),f77(a1)),f822(f99(a1),x64901)))+~P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x64901)))
% 218.59/218.71 [6515]E(f822(f247(a1,a1),f46(f77(a1),f822(f99(a1),x65151))),f44(a1,f77(a1),f822(f99(a1),x65151)))+~P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x65151)))
% 218.59/218.71 [6527]P144(f822(f60(x65271),f233(f892(x65271,a882))))+~P144(f822(f60(f889(x65271)),f233(f892(f889(x65271),a882))))
% 218.59/218.71 [6558]P144(f822(f822(f227(a1),a92),x65581))+~P144(f822(f822(f227(a1),a92),f822(f822(f79(a1),x65581),x65581)))
% 218.59/218.71 [6559]P144(f822(f822(f227(a1),a92),x65591))+~P144(f822(f822(f226(a1),a92),f822(f822(f79(a1),x65591),x65591)))
% 218.59/218.71 [6560]P144(f822(f822(f227(a1),a82),x65601))+~P144(f822(f822(f227(a1),a82),f822(f822(f79(a1),x65601),x65601)))
% 218.59/218.71 [6561]P144(f822(f822(f226(a1),a82),x65611))+~P144(f822(f822(f226(a1),a82),f822(f822(f79(a1),x65611),x65611)))
% 218.59/218.71 [6891]~P144(f822(f60(x68911),f233(f892(x68911,a882))))+P144(f822(f822(f227(a885),f2(a885)),f822(f34(x68911),f233(f892(x68911,a882)))))
% 218.59/218.71 [7507]P144(f822(f60(a885),x75071))+~P144(f822(f60(a1),f822(f299(a885,a1,f95(a1)),x75071)))
% 218.59/218.71 [5481]~E(a92,x54811)+E(f822(f822(f3(a1),f822(f822(f79(a1),x54811),x54811)),a92),a92)
% 218.59/218.71 [5482]~E(x54821,a92)+E(f822(f822(f3(a1),f822(f822(f79(a1),x54821),x54821)),a92),a92)
% 218.59/218.71 [6017]E(x60171,a92)+~E(f822(f822(f3(a1),f822(f822(f79(a1),x60171),x60171)),a92),a92)
% 218.59/218.71 [6018]E(a92,x60181)+~E(f822(f822(f3(a1),f822(f822(f79(a1),x60181),x60181)),a92),a92)
% 218.59/218.71 [6451]~E(f822(f99(a885),x64511),f2(a885))+P144(f822(a187,f822(f99(a1),f822(f822(f79(a1),x64511),a92))))
% 218.59/218.71 [6818]~P144(f822(a187,f822(f99(a1),x68181)))+P144(f822(a187,f822(f99(a1),f822(f822(f79(a1),x68181),x68181))))
% 218.59/218.71 [6819]~P144(f822(f822(f226(a1),x68191),a92))+P144(f822(f822(f227(a1),f822(f822(f79(a1),x68191),x68191)),a92))
% 218.59/218.71 [6820]~P144(f822(f822(f227(a1),x68201),a82))+P144(f822(f822(f227(a1),f822(f822(f79(a1),x68201),x68201)),a82))
% 218.59/218.71 [6821]~P144(f822(f822(f226(a1),x68211),a92))+P144(f822(f822(f226(a1),f822(f822(f79(a1),x68211),x68211)),a92))
% 218.59/218.71 [6822]~P144(f822(f822(f226(a1),x68221),a82))+P144(f822(f822(f226(a1),f822(f822(f79(a1),x68221),x68221)),a82))
% 218.59/218.71 [7154]E(f822(f99(a885),x71541),f2(a885))+~P144(f822(a187,f822(f99(a1),f822(f822(f79(a1),x71541),a92))))
% 218.59/218.71 [7418]~P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x74181)))+P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),f822(f822(f79(a1),x74181),x74181))))
% 218.59/218.71 [7419]P144(f822(a187,f822(f99(a1),x74191)))+~P144(f822(a187,f822(f99(a1),f822(f822(f79(a1),x74191),x74191))))
% 218.59/218.71 [7420]P144(f822(f822(f227(a1),x74201),a82))+~P144(f822(f822(f227(a1),f822(f822(f79(a1),x74201),x74201)),a82))
% 218.59/218.71 [7421]P144(f822(f822(f226(a1),x74211),a92))+~P144(f822(f822(f227(a1),f822(f822(f79(a1),x74211),x74211)),a92))
% 218.59/218.71 [7422]P144(f822(f822(f226(a1),x74221),a92))+~P144(f822(f822(f226(a1),f822(f822(f79(a1),x74221),x74221)),a92))
% 218.59/218.71 [7423]P144(f822(f822(f226(a1),x74231),a82))+~P144(f822(f822(f226(a1),f822(f822(f79(a1),x74231),x74231)),a82))
% 218.59/218.71 [7794]E(f822(a102,f520(x77941)),x77941)+~P144(f822(f822(f318(f892(f891(a885,a885),a882)),x77941),a93))
% 218.59/218.71 [6363]~P96(x63631)+E(f822(f99(x63631),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f77(x63631))
% 218.59/218.71 [6869]~P144(f822(a187,f822(f99(a1),x68691)))+E(f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),x68691),x68691)),a92)),f2(a885))
% 218.59/218.71 [7973]~P144(f822(f822(f227(a1),f822(f99(a1),x79731)),f2(a1)))+E(f822(f242(a1,a1),f822(a50,f49(f822(f78(a1),f77(a1)),f822(f78(a1),f822(f99(a1),x79731))))),f822(f822(f35(a1),f77(a1)),f822(f99(a1),x79731)))
% 218.59/218.71 [7986]~P144(f822(f822(f227(a1),f822(f99(a1),x79861)),f2(a1)))+E(f822(f247(a1,a1),f822(a50,f49(f822(f78(a1),f77(a1)),f822(f78(a1),f822(f99(a1),x79861))))),f44(a1,f77(a1),f822(f99(a1),x79861)))
% 218.59/218.71 [8036]~P144(f822(f822(f227(a1),a92),x80361))+P144(f822(f822(f227(a1),a92),f822(f822(f3(a1),f822(f822(f79(a1),x80361),x80361)),a92)))
% 218.59/218.71 [8037]~P144(f822(f822(f226(a1),a82),x80371))+P144(f822(f822(f227(a1),a82),f822(f822(f3(a1),f822(f822(f79(a1),x80371),x80371)),a92)))
% 218.59/218.71 [8038]~P144(f822(f822(f226(a1),a92),x80381))+P144(f822(f822(f226(a1),a92),f822(f822(f3(a1),f822(f822(f79(a1),x80381),x80381)),a92)))
% 218.59/218.71 [8039]~P144(f822(f822(f226(a1),a82),x80391))+P144(f822(f822(f226(a1),a82),f822(f822(f3(a1),f822(f822(f79(a1),x80391),x80391)),a92)))
% 218.59/218.71 [8338]~P96(x83381)+~P28(x83381,f822(f99(x83381),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))
% 218.59/218.71 [8515]P144(f822(f822(f227(a1),a92),x85151))+~P144(f822(f822(f227(a1),a92),f822(f822(f3(a1),f822(f822(f79(a1),x85151),x85151)),a92)))
% 218.59/218.71 [8516]P144(f822(f822(f226(a1),a92),x85161))+~P144(f822(f822(f226(a1),a92),f822(f822(f3(a1),f822(f822(f79(a1),x85161),x85161)),a92)))
% 218.59/218.71 [8517]P144(f822(f822(f226(a1),a82),x85171))+~P144(f822(f822(f227(a1),a82),f822(f822(f3(a1),f822(f822(f79(a1),x85171),x85171)),a92)))
% 218.59/218.71 [8518]P144(f822(f822(f226(a1),a82),x85181))+~P144(f822(f822(f226(a1),a82),f822(f822(f3(a1),f822(f822(f79(a1),x85181),x85181)),a92)))
% 218.59/218.71 [8817]E(f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),x88171),x88171)),a92)),f822(f822(f85(a885,a885),f822(f99(a885),x88171)),f822(f822(f10(a885,a885,a885),a107),f822(f822(f20(a885,a885,a885),f79(a885)),f7(a885)))))+P144(f822(a187,f822(f99(a1),x88171)))
% 218.59/218.71 [9663]E(x96631,f182(f892(f891(a885,a885),a882)))+P144(f822(f822(f318(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f243(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),x96631),f182(f892(f891(a885,a885),a882)))),a68))
% 218.59/218.71 [8750]~P144(f822(a187,f822(f99(a1),x87501)))+P144(f822(a187,f822(f99(a1),f822(f822(f3(a1),f822(f822(f79(a1),x87501),x87501)),a92))))
% 218.59/218.71 [8751]~P144(f822(f822(f227(a1),x87511),a92))+P144(f822(f822(f227(a1),f822(f822(f3(a1),f822(f822(f79(a1),x87511),x87511)),a92)),a92))
% 218.59/218.71 [8752]~P144(f822(f822(f227(a1),x87521),a82))+P144(f822(f822(f227(a1),f822(f822(f3(a1),f822(f822(f79(a1),x87521),x87521)),a92)),a82))
% 218.59/218.71 [8753]~P144(f822(f822(f226(a1),x87531),a92))+P144(f822(f822(f226(a1),f822(f822(f3(a1),f822(f822(f79(a1),x87531),x87531)),a92)),a92))
% 218.59/218.71 [8754]~P144(f822(f822(f227(a1),x87541),a82))+P144(f822(f822(f226(a1),f822(f822(f3(a1),f822(f822(f79(a1),x87541),x87541)),a92)),a82))
% 218.59/218.71 [8855]~P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x88551)))+P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),f822(f822(f3(a1),f822(f822(f79(a1),x88551),x88551)),a92))))
% 218.59/218.71 [9006]~P96(x90061)+E(f822(f822(f79(x90061),f77(x90061)),f77(x90061)),f822(f99(x90061),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))
% 218.59/218.71 [9158]P144(f822(a187,f822(f99(a1),x91581)))+~P144(f822(a187,f822(f99(a1),f822(f822(f3(a1),f822(f822(f79(a1),x91581),x91581)),a92))))
% 218.59/218.71 [9159]P144(f822(f822(f227(a1),x91591),a92))+~P144(f822(f822(f227(a1),f822(f822(f3(a1),f822(f822(f79(a1),x91591),x91591)),a92)),a92))
% 218.59/218.71 [9160]P144(f822(f822(f227(a1),x91601),a82))+~P144(f822(f822(f227(a1),f822(f822(f3(a1),f822(f822(f79(a1),x91601),x91601)),a92)),a82))
% 218.59/218.71 [9161]P144(f822(f822(f227(a1),x91611),a82))+~P144(f822(f822(f226(a1),f822(f822(f3(a1),f822(f822(f79(a1),x91611),x91611)),a92)),a82))
% 218.59/218.71 [9162]P144(f822(f822(f226(a1),x91621),a92))+~P144(f822(f822(f226(a1),f822(f822(f3(a1),f822(f822(f79(a1),x91621),x91621)),a92)),a92))
% 218.59/218.71 [9711]~P144(f822(f60(f891(a885,a885)),x97111))+P144(f822(f822(f318(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f243(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),f182(f892(f891(a885,a885),a882))),x97111)),a69))
% 218.59/218.71 [9493]~P1(x94931)+E(f822(f822(f235(x94931),f2(x94931)),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f2(x94931))
% 218.59/218.71 [9494]~P1(x94941)+E(f822(f822(f235(x94941),f77(x94941)),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f77(x94941))
% 218.59/218.71 [9935]~P144(f822(f822(f227(a885),f77(a885)),x99351))+P144(f822(f822(f227(a885),f2(a885)),f822(f822(f35(a885),x99351),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))))
% 218.59/218.71 [9941]~P144(f822(f822(f227(a885),f2(a885)),x99411))+P144(f822(f822(f227(a885),f2(a885)),f822(f822(f35(a885),f822(f822(f79(a885),x99411),f77(a885))),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))))
% 218.59/218.71 [9979]~E(f44(a885,x99791,f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f77(a885))+P144(f822(f822(f227(a885),f2(a885)),f44(a885,x99791,f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))))
% 218.59/218.71 [10012]E(f44(a885,x100121,f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f77(a885))+~P144(f822(f822(f227(a885),f2(a885)),f44(a885,x100121,f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))))
% 218.59/218.71 [4593]~P9(x45931,x45932)+P43(x45931,x45932)
% 218.59/218.71 [4594]~P36(x45941,x45942)+P59(x45941,x45942)
% 218.59/218.71 [4595]~P44(x45951,x45952)+P59(x45951,x45952)
% 218.59/218.71 [4597]~P9(x45971,x45972)+P51(x45971,x45972)
% 218.59/218.71 [4599]~P17(x45991,x45992)+P51(x45991,x45992)
% 218.59/218.71 [4601]~P9(x46011,x46012)+P52(x46011,x46012)
% 218.59/218.71 [4603]~P17(x46031,x46032)+P52(x46031,x46032)
% 218.59/218.71 [4604]~P9(x46041,x46042)+P17(x46041,x46042)
% 218.59/218.71 [4552]~E(x45521,x45522)+E(f260(x45521,x45522),f77(a94))
% 218.59/218.71 [4555]E(f210(x45551,x45552),x45551)+~E(x45552,f2(a885))
% 218.59/218.71 [4564]~E(x45642,f108(x45641))+E(f144(x45641,x45642),f108(x45641))
% 218.59/218.71 [4583]~E(f144(x45832,x45831),f108(x45832))+E(x45831,f108(x45832))
% 218.59/218.71 [4608]~P91(x46082)+P91(f892(x46081,x46082))
% 218.59/218.71 [4609]~P110(x46092)+P110(f892(x46091,x46092))
% 218.59/218.71 [4610]~P109(x46102)+P109(f892(x46101,x46102))
% 218.59/218.71 [4611]~P97(x46112)+P97(f892(x46111,x46112))
% 218.59/218.71 [4612]~P89(x46122)+P89(f892(x46121,x46122))
% 218.59/218.71 [4613]~P77(x46132)+P77(f892(x46131,x46132))
% 218.59/218.71 [4614]~P100(x46142)+P99(f892(x46141,x46142))
% 218.59/218.71 [4615]~P100(x46152)+P100(f892(x46151,x46152))
% 218.59/218.71 [4616]~P7(x46162)+P7(f892(x46161,x46162))
% 218.59/218.71 [4617]~P116(x46172)+P116(f892(x46171,x46172))
% 218.59/218.71 [4618]~P103(x46182)+P101(f892(x46181,x46182))
% 218.59/218.71 [4619]~P107(x46192)+P107(f892(x46191,x46192))
% 218.59/218.71 [4620]~P103(x46202)+P102(f892(x46201,x46202))
% 218.59/218.71 [4621]~P104(x46212)+P104(f892(x46211,x46212))
% 218.59/218.71 [4622]~P100(x46222)+P105(f892(x46221,x46222))
% 218.59/218.71 [4623]~P103(x46232)+P103(f892(x46231,x46232))
% 218.59/218.71 [4636]E(x46361,x46362)+~E(f822(a107,x46361),f822(a107,x46362))
% 218.59/218.71 [4637]E(x46371,x46372)+~E(f822(a5,x46371),f822(a5,x46372))
% 218.59/218.71 [4639]E(x46391,x46392)+~E(f822(a22,x46391),f822(a22,x46392))
% 218.59/218.71 [4640]E(x46401,x46402)+~E(f822(a102,x46401),f822(a102,x46402))
% 218.59/218.71 [4693]P38(x46931,x46932)+~E(f720(x46932,x46931),f721(x46932,x46931))
% 218.59/218.71 [4723]~P59(x47231,x47232)+P38(x47231,f296(x47231,x47232))
% 218.59/218.71 [4724]~P53(x47241,x47242)+P53(x47241,f296(x47241,x47242))
% 218.59/218.71 [4737]~P5(x47371)+E(f44(x47371,x47372,x47372),f2(x47371))
% 218.59/218.71 [4771]~P36(x47711,x47712)+P36(f887(x47711),f138(x47711,x47712))
% 218.59/218.71 [4772]~P36(x47721,x47722)+P36(f887(x47721),f137(x47721,x47722))
% 218.59/218.71 [4773]~P37(x47731,x47732)+P37(f887(x47731),f139(x47731,x47732))
% 218.59/218.71 [4774]~P37(x47741,x47742)+P37(f887(x47741),f150(x47741,x47742))
% 218.59/218.71 [4775]~P53(x47751,x47752)+P53(f887(x47751),f150(x47751,x47752))
% 218.59/218.71 [4872]~P36(x48721,x48722)+P36(f892(x48721,a882),f309(x48721,x48722))
% 218.59/218.71 [4873]~P36(x48731,x48732)+P36(f892(x48731,a882),f307(x48731,x48732))
% 218.59/218.71 [5004]~P8(x50041)+P39(f292(a1,x50041,x50042))
% 218.59/218.71 [5108]~P36(x51081,x51082)+P61(x51081,f66(x51081,x51081,x51082))
% 218.59/218.71 [5618]~P80(x56181)+P26(x56181,x56181,f78(x56181),x56182)
% 218.59/218.71 [4578]~E(x45782,f108(x45781))+E(f822(f159(x45781),x45782),f108(x45781))
% 218.59/218.71 [4579]~E(x45792,f108(x45791))+E(f822(f160(x45791),x45792),f108(x45791))
% 218.59/218.71 [4642]E(x46421,f822(a100,x46422))+~E(f822(f95(a1),x46421),x46422)
% 218.59/218.71 [4645]E(x46451,f108(x46452))+~E(f822(f159(x46452),x46451),f108(x46452))
% 218.59/218.71 [4646]E(x46461,f108(x46462))+~E(f822(f160(x46462),x46461),f108(x46462))
% 218.59/218.71 [4662]~P96(x46621)+E(f822(f99(x46621),x46622),f822(f98(x46621),x46622))
% 218.59/218.71 [4670]~P62(x46701)+P144(f822(f60(x46701),x46702))
% 218.59/218.71 [4678]~E(f683(x46782,x46781),f108(x46781))+E(f171(x46781,x46782),f108(f887(x46781)))
% 218.59/218.71 [4687]~E(x46872,f108(x46871))+E(f822(f164(x46871),x46872),f182(f892(x46871,a882)))
% 218.59/218.71 [4688]~E(x46882,f108(x46881))+E(f182(f892(x46881,a882)),f822(f164(x46881),x46882))
% 218.59/218.71 [4690]E(x46901,x46902)+~E(f822(f95(a1),x46901),f822(f95(a1),x46902))
% 218.59/218.71 [4694]E(f208(x46941,x46942),f2(a885))+P144(f822(f60(x46941),x46942))
% 218.59/218.71 [4712]~P111(x47121)+E(f81(x47121,f81(x47121,x47122)),f81(x47121,x47122))
% 218.59/218.71 [4726]~P112(x47261)+E(f822(f822(f235(x47261),x47262),f77(a885)),x47262)
% 218.59/218.71 [4727]~P82(x47271)+E(f822(f822(f235(x47271),x47272),f77(a885)),x47272)
% 218.59/218.71 [4728]~P53(x47281,x47282)+E(f822(f275(x47281,x47281),x47282),x47282)
% 218.59/218.71 [4732]E(x47321,x47322)+E(f260(x47321,x47322),f822(f822(f79(a94),x47322),f77(a94)))
% 218.59/218.71 [4735]E(f822(f34(x47351),x47352),f2(a885))+P144(f822(f60(x47351),x47352))
% 218.59/218.71 [4738]~E(f144(x47381,x47382),x47382)+P144(f822(f129(x47381),x47382))
% 218.59/218.71 [4741]~P72(x47411)+E(f822(f822(f79(x47411),x47412),f2(x47411)),x47412)
% 218.59/218.71 [4742]~P73(x47421)+E(f822(f822(f79(x47421),x47422),f2(x47421)),x47422)
% 218.59/218.71 [4743]~P112(x47431)+E(f822(f822(f79(x47431),x47432),f2(x47431)),x47432)
% 218.59/218.71 [4744]~P112(x47441)+E(f822(f822(f80(x47441),x47442),f77(x47441)),x47442)
% 218.59/218.71 [4745]~P76(x47451)+E(f822(f822(f80(x47451),x47452),f77(x47451)),x47452)
% 218.59/218.71 [4746]~P82(x47461)+E(f822(f822(f80(x47461),x47462),f77(x47461)),x47462)
% 218.59/218.71 [4747]~P5(x47471)+E(f822(f822(f35(x47471),x47472),f77(x47471)),x47472)
% 218.59/218.71 [4748]~P75(x47481)+E(f822(f822(f3(x47481),x47482),f2(x47481)),x47482)
% 218.59/218.71 [4749]~P121(x47491)+E(f822(f822(f280(x47491),x47492),f77(x47491)),x47492)
% 218.59/218.71 [4750]~P102(x47501)+E(f822(f822(f96(x47501),x47502),f182(x47501)),x47502)
% 218.59/218.71 [4751]~P101(x47511)+E(f822(f822(f97(x47511),x47512),f233(x47511)),x47512)
% 218.59/218.71 [4752]~P112(x47521)+E(f822(f822(f235(x47521),x47522),f2(a885)),f77(x47521))
% 218.59/218.71 [4753]~P115(x47531)+E(f822(f822(f235(x47531),x47532),f2(a885)),f77(x47531))
% 218.59/218.71 [4754]~E(x47542,f182(f892(x47541,a882)))+E(f822(f34(x47541),x47542),f2(a885))
% 218.59/218.71 [4765]~P5(x47651)+E(f44(x47651,x47652,f2(x47651)),x47652)
% 218.59/218.71 [4776]~P112(x47761)+E(f822(f822(f80(x47761),x47762),f2(x47761)),f2(x47761))
% 218.59/218.71 [4777]~P130(x47771)+E(f822(f822(f80(x47771),x47772),f2(x47771)),f2(x47771))
% 218.59/218.71 [4778]~P5(x47781)+E(f822(f822(f35(x47781),x47782),f2(x47781)),f2(x47781))
% 218.59/218.71 [4779]~P122(x47791)+E(f822(f822(f280(x47791),x47792),f2(x47791)),f2(x47791))
% 218.59/218.71 [4780]~P101(x47801)+E(f822(f822(f96(x47801),x47802),f233(x47801)),f233(x47801))
% 218.59/218.71 [4781]~P102(x47811)+E(f822(f822(f97(x47811),x47812),f182(x47811)),f182(x47811))
% 218.59/218.71 [4783]~P5(x47831)+E(f44(x47831,x47832,f77(x47831)),f2(x47831))
% 218.59/218.71 [4784]~P5(x47841)+E(f44(x47841,f2(x47841),x47842),f2(x47841))
% 218.59/218.71 [4813]E(x48131,f2(a885))+E(f54(x48132,x48131,f108(x48132)),f108(f887(x48132)))
% 218.59/218.71 [4836]P53(x48361,x48362)+~E(f822(f275(x48361,x48361),x48362),x48362)
% 218.59/218.71 [4837]P36(x48371,x48372)+~E(f556(x48372,x48371),f182(f892(x48371,a882)))
% 218.59/218.71 [4838]E(x48381,f108(x48382))+~E(f822(f164(x48382),x48381),f182(f892(x48382,a882)))
% 218.59/218.71 [4839]E(x48391,f108(x48392))+~E(f182(f892(x48392,a882)),f822(f164(x48392),x48391))
% 218.59/218.71 [4842]~E(x48421,x48422)+P144(f822(f822(a314,x48421),x48422))
% 218.59/218.71 [4852]P144(x48521)+P144(f822(f822(a319,x48521),x48522))
% 218.59/218.71 [4853]E(x48531,f108(x48532))+E(f822(f822(f156(x48532),x48531),f2(a885)),f822(f133(x48532),x48531))
% 218.59/218.71 [4856]E(f144(x48561,x48562),x48562)+~P144(f822(f129(x48561),x48562))
% 218.59/218.71 [4863]~P144(x48632)+P144(f822(f822(a319,x48631),x48632))
% 218.59/218.71 [4864]~P144(x48642)+P144(f822(f822(a316,x48641),x48642))
% 218.59/218.71 [4865]~P144(x48651)+P144(f822(f822(a316,x48651),x48652))
% 218.59/218.71 [4875]~E(f684(x48752,x48751),f698(x48752,x48751))+P144(f822(f129(x48751),x48752))
% 218.59/218.71 [4882]E(f822(f253(x48821),x48822),f182(f892(x48821,a882)))+P144(f822(x48822,f496(x48822)))
% 218.59/218.71 [4883]E(f182(f892(x48831,a882)),f822(f253(x48831),x48832))+P144(f822(x48832,f526(x48832)))
% 218.59/218.71 [4956]~P111(x49561)+E(f822(f822(f80(x49561),x49562),f81(x49561,x49562)),f822(f75(x49561),x49562))
% 218.59/218.71 [4968]~E(x49681,f2(a1))+E(f45(x49681,x49682),f822(f822(f243(a1,a1),f2(a1)),f2(a1)))
% 218.59/218.71 [5000]~P59(x50001,x50002)+P59(x50001,f822(f275(x50001,x50001),x50002))
% 218.59/218.71 [5001]~P37(x50011,x50012)+P37(x50011,f822(f275(x50011,x50011),x50012))
% 218.59/218.71 [5002]~P38(x50021,x50022)+P38(x50021,f822(f275(x50021,x50021),x50022))
% 218.59/218.71 [5003]~P53(x50031,x50032)+P53(x50031,f822(f275(x50031,x50031),x50032))
% 218.59/218.71 [5025]E(x50251,x50252)+~P144(f822(f822(a314,x50251),x50252))
% 218.59/218.71 [5036]P144(x50361)+~P144(f822(f822(a315,x50362),x50361))
% 218.59/218.71 [5037]P144(x50371)+~P144(f822(f822(a315,x50371),x50372))
% 218.59/218.71 [5042]~P116(x50421)+P144(f822(f822(f226(x50421),x50422),f233(x50421)))
% 218.59/218.71 [5043]~P112(x50431)+P144(f822(f822(f276(x50431),x50432),f2(x50431)))
% 218.59/218.71 [5047]E(x50471,x50472)+~E(f822(x50471,f355(x50472,x50471)),f822(x50472,f355(x50472,x50471)))
% 218.59/218.71 [5079]E(x50791,f2(a885))+E(f210(x50791,f44(a885,x50792,x50791)),f210(x50792,x50791))
% 218.59/218.71 [5084]~P92(x50841)+P15(x50841,f822(f822(f143(x50841),x50842),f108(x50841)))
% 218.59/218.71 [5086]E(x50861,f2(a1))+P144(f822(f48(x50862,x50861),f45(x50862,x50861)))
% 218.59/218.71 [5103]~P17(x51032,x51031)+P144(f822(f822(x51031,f812(x51031)),f812(x51031)))
% 218.59/218.71 [5106]~E(x51061,x51062)+P144(f822(f822(f227(a885),x51061),f822(a107,x51062)))
% 218.59/218.71 [5116]~E(x51161,f2(a885))+P144(f822(f822(f227(a885),x51161),f822(a107,x51162)))
% 218.59/218.71 [5126]P144(f822(x51261,x51262))+P144(f822(f822(f226(a1),f2(a1)),f528(x51261)))
% 218.59/218.71 [5189]P59(x51891,x51892)+~P59(x51891,f822(f275(x51891,x51891),x51892))
% 218.59/218.71 [5190]P37(x51901,x51902)+~P37(x51901,f822(f275(x51901,x51901),x51902))
% 218.59/218.71 [5191]P38(x51911,x51912)+~P38(x51911,f822(f275(x51911,x51911),x51912))
% 218.59/218.71 [5192]P53(x51921,x51922)+~P53(x51921,f822(f275(x51921,x51921),x51922))
% 218.59/218.71 [5195]~E(f44(a885,x51952,x51951),f2(a885))+E(f822(f822(f80(a885),x51951),f571(x51951,x51952)),x51952)
% 218.59/218.71 [5196]~E(f44(a1,x51962,x51961),f2(a1))+E(f822(f822(f80(a1),x51961),f572(x51961,x51962)),x51962)
% 218.59/218.71 [5223]~P144(f822(x52231,x52232))+P144(f822(f822(f226(a1),f2(a1)),f527(x52231)))
% 218.59/218.71 [5235]E(f822(f822(f3(a885),f822(a100,x52351)),f822(a100,x52352)),f822(a100,x52351))+~P144(f822(a187,x52352))
% 218.59/218.71 [5264]E(f261(x52641,x52642),f77(a94))+~P144(f822(f822(f226(a94),x52641),f77(a94)))
% 218.59/218.71 [5363]E(f822(f822(f156(x53631),x53632),f684(x53632,x53631)),f822(f822(f156(x53631),x53632),f698(x53632,x53631)))+P144(f822(f129(x53631),x53632))
% 218.59/218.71 [5407]~P144(f822(x54071,f89(x54072,x54071)))+P144(f822(x54071,f557(x54072,x54071)))
% 218.59/218.71 [5471]P61(x54711,x54712)+~P144(f822(f304(x54711,x54712),f542(x54712,x54711)))
% 218.59/218.71 [5615]~P17(x56152,x56151)+P144(f822(f822(x56151,f813(x56151,x56152)),f813(x56151,x56152)))
% 218.59/218.71 [5616]~P17(x56162,x56161)+P144(f822(f822(x56161,f816(x56161,x56162)),f816(x56161,x56162)))
% 218.59/218.71 [5625]~E(f822(a107,f44(a885,x56251,x56252)),x56252)+E(f44(a885,f822(a107,x56251),x56252),f2(a885))
% 218.59/218.71 [5681]P36(x56811,x56812)+P144(f822(f822(f318(x56811),f609(x56812,x56811)),f610(x56812,x56811)))
% 218.59/218.71 [5688]~P1(x56881)+P144(f822(f822(f318(x56881),f822(f95(x56881),x56882)),f178(x56881)))
% 218.59/218.71 [5689]~P127(x56891)+P144(f822(f822(f318(x56891),f822(f95(x56891),x56892)),f105(x56891)))
% 218.59/218.71 [5690]~P127(x56901)+P144(f822(f822(f318(x56901),f822(f98(x56901),x56902)),f105(x56901)))
% 218.59/218.71 [5691]~P96(x56911)+P144(f822(f822(f318(x56911),f822(f99(x56911),x56912)),f105(x56911)))
% 218.59/218.71 [5834]~P37(x58341,x58342)+E(f822(f822(f278(x58341,x58341,x58341),x58342),f296(x58341,x58342)),x58342)
% 218.59/218.71 [5851]E(f822(a107,f44(a885,x58511,x58512)),x58512)+E(f44(a885,f822(a107,x58511),x58512),f822(a107,f44(a885,x58511,x58512)))
% 218.59/218.71 [6284]P36(x62841,x62842)+~P144(f822(f822(f318(x62841),f532(x62842,x62841)),f305(x62841,x62842)))
% 218.59/218.71 [6322]~P90(x63221)+~P144(f822(f822(f227(x63221),f822(f95(x63221),x63222)),f2(x63221)))
% 218.59/218.71 [6323]~P84(x63231)+~P144(f822(f822(f227(x63231),f822(f75(x63231),x63232)),f2(x63231)))
% 218.59/218.71 [6419]P144(f822(f822(f227(a1),x64191),f44(a1,x64192,x64191)))+~P144(f822(f822(f227(a1),x64191),f2(a1)))
% 218.59/218.71 [6529]E(f822(f822(f298(a885),f822(a107,x65291)),f292(a885,x65292,x65291)),f292(a885,x65292,f822(a107,x65291)))+~P144(f822(f822(f226(a885),x65292),f822(a107,x65291)))
% 218.59/218.71 [6622]~P92(x66221)+P15(x66221,f142(x66221,x66221,f7(x66221),x66222))
% 218.59/218.71 [6758]E(f822(f159(x67581),x67582),x67582)+~P144(f822(f822(f226(a885),f822(f183(f887(x67581)),x67582)),f77(a885)))
% 218.59/218.71 [6780]~P84(x67801)+P144(f822(f822(f226(x67801),f822(f78(x67801),f822(f75(x67801),x67802))),f2(x67801)))
% 218.59/218.71 [6814]~P36(x68141,x68142)+P36(x68141,f822(f822(f278(x68141,x68141,x68141),x68142),f296(x68141,x68142)))
% 218.59/218.71 [6815]~P53(x68151,x68152)+P53(x68151,f822(f822(f278(x68151,x68151,x68151),x68152),f296(x68151,x68152)))
% 218.59/218.71 [7047]~P144(f822(f822(f227(a1),x70472),f2(a1)))+P144(f822(f822(f226(a1),f44(a1,x70471,x70472)),f2(a1)))
% 218.59/218.71 [7461]~P1(x74611)+E(f184(x74611,f822(f822(f9(x74611,x74611,x74611),f79(x74611)),f77(x74611)),x74612,f2(x74611)),f822(f95(x74611),x74612))
% 218.59/218.71 [7493]~P125(x74931)+~P144(f822(f822(f227(x74931),f822(f822(f80(x74931),x74932),x74932)),f2(x74931)))
% 218.59/218.71 [10105]~P111(x101051)+~P144(f822(f822(f227(x101051),f822(f822(f235(x101051),x101052),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f2(x101051)))
% 218.59/218.71 [4643]~E(x46432,f108(x46431))+E(f822(f183(f887(x46431)),x46432),f2(a885))
% 218.59/218.71 [4679]~E(x46791,f2(a885))+E(f822(f822(f79(a885),x46791),x46792),x46792)
% 218.59/218.71 [4680]~E(x46802,f2(a885))+E(f822(f822(f80(a885),x46801),x46802),f2(a885))
% 218.59/218.71 [4682]~E(x46821,f2(a885))+E(f822(f822(f80(a885),x46821),x46822),f2(a885))
% 218.59/218.71 [4683]~E(x46832,f2(a1))+E(f822(f822(f35(a1),x46831),x46832),f2(a1))
% 218.59/218.71 [4684]~E(x46842,f2(a885))+E(f822(f822(f235(a885),x46841),x46842),f77(a885))
% 218.59/218.71 [4695]E(x46951,f108(x46952))+~E(f822(f183(f887(x46952)),x46951),f2(a885))
% 218.59/218.71 [4697]~P98(x46971)+E(f822(f822(f80(x46971),x46972),x46972),x46972)
% 218.59/218.71 [4699]~P92(x46991)+E(f822(f822(f230(x46991),x46992),x46992),x46992)
% 218.59/218.71 [4701]~P92(x47011)+E(f822(f822(f181(x47011),x47012),x47012),x47012)
% 218.59/218.71 [4703]~P99(x47031)+E(f822(f822(f96(x47031),x47032),x47032),x47032)
% 218.59/218.71 [4704]~P100(x47041)+E(f822(f822(f96(x47041),x47042),x47042),x47042)
% 218.59/218.71 [4705]~P100(x47051)+E(f822(f822(f97(x47051),x47052),x47052),x47052)
% 218.59/218.71 [4707]~P105(x47071)+E(f822(f822(f97(x47071),x47072),x47072),x47072)
% 218.59/218.71 [4725]~P75(x47251)+E(f822(f822(f3(x47251),x47252),x47252),f2(x47251))
% 218.59/218.71 [4739]~P75(x47391)+E(f822(f78(x47391),f822(f78(x47391),x47392)),x47392)
% 218.59/218.71 [4740]~P97(x47401)+E(f822(f78(x47401),f822(f78(x47401),x47402)),x47402)
% 218.59/218.71 [4757]~E(x47572,f2(a885))+E(f822(f822(f235(a885),x47571),x47572),f822(a107,f2(a885)))
% 218.59/218.71 [4792]~P72(x47921)+E(f822(f822(f79(x47921),f2(x47921)),x47922),x47922)
% 218.59/218.71 [4793]~P73(x47931)+E(f822(f822(f79(x47931),f2(x47931)),x47932),x47932)
% 218.59/218.71 [4794]~P112(x47941)+E(f822(f822(f79(x47941),f2(x47941)),x47942),x47942)
% 218.59/218.71 [4795]~P112(x47951)+E(f822(f822(f80(x47951),f77(x47951)),x47952),x47952)
% 218.59/218.71 [4796]~P76(x47961)+E(f822(f822(f80(x47961),f77(x47961)),x47962),x47962)
% 218.59/218.71 [4797]~P82(x47971)+E(f822(f822(f80(x47971),f77(x47971)),x47972),x47972)
% 218.59/218.71 [4798]~P102(x47981)+E(f822(f822(f96(x47981),f182(x47981)),x47982),x47982)
% 218.59/218.71 [4799]~P101(x47991)+E(f822(f822(f97(x47991),f233(x47991)),x47992),x47992)
% 218.59/218.71 [4817]~P112(x48171)+E(f822(f822(f80(x48171),f2(x48171)),x48172),f2(x48171))
% 218.59/218.71 [4818]~P130(x48181)+E(f822(f822(f80(x48181),f2(x48181)),x48182),f2(x48181))
% 218.59/218.71 [4819]~P5(x48191)+E(f822(f822(f35(x48191),f2(x48191)),x48192),f2(x48191))
% 218.59/218.71 [4820]~P82(x48201)+E(f822(f822(f235(x48201),f77(x48201)),x48202),f77(x48201))
% 218.59/218.71 [4821]~P121(x48211)+E(f822(f822(f280(x48211),f2(x48211)),x48212),f2(x48211))
% 218.59/218.71 [4822]~P101(x48221)+E(f822(f822(f96(x48221),f233(x48221)),x48222),f233(x48221))
% 218.59/218.71 [4823]~P102(x48231)+E(f822(f822(f97(x48231),f182(x48231)),x48232),f182(x48231))
% 218.59/218.71 [4831]E(x48311,f108(x48312))+E(f136(x48312,f822(f160(x48312),x48311)),f822(f133(x48312),x48311))
% 218.59/218.71 [4832]E(x48321,f108(x48322))+E(f822(f133(x48322),f822(f160(x48322),x48321)),f136(x48322,x48321))
% 218.59/218.71 [4833]E(x48331,f2(a885))+~E(f822(f822(f79(a885),x48332),x48331),x48332)
% 218.59/218.71 [4840]~P127(x48401)+E(f822(f98(x48401),f822(f95(a1),x48402)),f822(f95(x48401),x48402))
% 218.59/218.71 [4841]~P96(x48411)+E(f822(f98(x48411),f822(f99(a1),x48412)),f822(f99(x48411),x48412))
% 218.59/218.71 [4848]E(x48481,f2(a885))+~E(f822(f822(f79(a885),x48482),x48481),f2(a885))
% 218.59/218.71 [4849]E(x48491,f2(a885))+~E(f822(f822(f79(a885),x48491),x48492),f2(a885))
% 218.59/218.71 [4850]E(x48501,f77(a885))+~E(f822(f822(f80(a885),x48502),x48501),f77(a885))
% 218.59/218.71 [4851]E(x48511,f77(a885))+~E(f822(f822(f80(a885),x48511),x48512),f77(a885))
% 218.59/218.71 [4868]~P111(x48681)+E(f822(f75(x48681),f822(f95(x48681),x48682)),f822(f95(x48681),x48682))
% 218.59/218.71 [4869]~P84(x48691)+E(f822(f75(x48691),f822(f78(x48691),x48692)),f822(f75(x48691),x48692))
% 218.59/218.71 [4870]~P84(x48701)+E(f822(f75(x48701),f822(f75(x48701),x48702)),f822(f75(x48701),x48702))
% 218.59/218.71 [4871]~P72(x48711)+E(f822(f157(x48711),f822(f160(x48711),x48712)),f822(f157(x48711),x48712))
% 218.59/218.71 [4876]~E(x48761,f822(a107,f2(a885)))+E(f822(f822(f235(a885),x48761),x48762),f822(a107,f2(a885)))
% 218.59/218.71 [4885]~P75(x48851)+E(f822(f822(f3(x48851),f2(x48851)),x48852),f822(f78(x48851),x48852))
% 218.59/218.71 [4886]~E(x48862,f2(a885))+E(f131(a885,f822(f291(a885,x48861),x48862)),f108(a885))
% 218.59/218.71 [4895]~P96(x48951)+E(f822(f822(f79(x48951),x48952),f822(f99(x48951),a82)),x48952)
% 218.59/218.71 [4896]E(x48961,f2(a1))+E(f46(f822(f75(a1),x48962),f822(f75(a1),x48961)),f52(x48962,x48961))
% 218.59/218.71 [4912]~E(x49121,x49122)+P144(f822(f822(f226(a885),x49121),x49122))
% 218.59/218.71 [4916]~E(x49161,x49162)+P144(f822(f822(f276(a885),x49161),x49162))
% 218.59/218.71 [4923]~E(x49231,f2(a94))+E(f822(f822(f79(a885),f822(a22,x49231)),x49232),x49232)
% 218.59/218.71 [4924]~E(f822(f99(a1),x49242),f822(f95(a1),x49241))+E(x49241,f822(a100,f822(f99(a1),x49242)))
% 218.59/218.71 [4937]~P8(x49371)+P8(f822(f822(f235(a1),x49371),x49372))
% 218.59/218.71 [4938]~P75(x49381)+E(f822(f822(f79(x49381),x49382),f822(f78(x49381),x49382)),f2(x49381))
% 218.59/218.71 [4939]~P97(x49391)+E(f822(f822(f96(x49391),x49392),f822(f78(x49391),x49392)),f233(x49391))
% 218.59/218.71 [4940]~P97(x49401)+E(f822(f822(f97(x49401),x49402),f822(f78(x49401),x49402)),f182(x49401))
% 218.59/218.71 [4965]E(x49651,f2(a885))+~E(f822(f78(a1),f822(f95(a1),x49652)),f822(f95(a1),x49651))
% 218.59/218.71 [4966]E(x49661,f2(a885))+~E(f822(f78(a1),f822(f95(a1),x49661)),f822(f95(a1),x49662))
% 218.59/218.71 [4976]E(f188(x49761,x49762),f2(a1))+P144(f822(f822(f226(a1),x49762),x49761))
% 218.59/218.71 [4977]E(f232(x49771,x49772),f2(a94))+P144(f822(f822(f227(a94),x49771),x49772))
% 218.59/218.71 [4978]E(f170(x49781,x49782),f108(a1))+P144(f822(f822(f226(a1),x49781),x49782))
% 218.59/218.71 [4991]E(x49911,f822(a107,f2(a885)))+~E(f822(f822(f80(a885),x49912),x49911),f822(a107,f2(a885)))
% 218.59/218.71 [4992]E(x49921,f822(a107,f2(a885)))+~E(f822(f822(f80(a885),x49921),x49922),f822(a107,f2(a885)))
% 218.59/218.71 [4993]~P110(x49931)+P144(f822(f822(f226(x49931),x49932),x49932))
% 218.59/218.71 [4994]~P112(x49941)+P144(f822(f822(f276(x49941),x49942),x49942))
% 218.59/218.71 [4997]~P96(x49971)+E(f822(f822(f80(x49971),x49972),f822(f99(x49971),a92)),f822(f78(x49971),x49972))
% 218.59/218.71 [5017]~P127(x50171)+E(f822(f78(x50171),f822(f98(x50171),x50172)),f822(f98(x50171),f822(f78(a1),x50172)))
% 218.59/218.71 [5018]~P96(x50181)+E(f822(f78(x50181),f822(f99(x50181),x50182)),f822(f99(x50181),f822(f78(a1),x50182)))
% 218.59/218.71 [5048]~E(x50481,f822(a107,x50482))+P144(f822(f822(f227(a885),f2(a885)),x50481))
% 218.59/218.71 [5066]~P92(x50661)+E(f822(f78(f892(x50661,a882)),f822(f271(x50661),x50662)),f822(f272(x50661),x50662))
% 218.59/218.71 [5067]~P92(x50671)+E(f822(f78(f892(x50671,a882)),f822(f293(x50671),x50672)),f822(f290(x50671),x50672))
% 218.59/218.71 [5068]~P92(x50681)+E(f822(f78(f892(x50681,a882)),f822(f290(x50681),x50682)),f822(f293(x50681),x50682))
% 218.59/218.71 [5069]~P92(x50691)+E(f822(f78(f892(x50691,a882)),f822(f272(x50691),x50692)),f822(f271(x50691),x50692))
% 218.59/218.71 [5078]~E(f822(f95(a1),x50782),x50781)+P144(f822(f822(f226(a1),f2(a1)),x50781))
% 218.59/218.71 [5085]~E(x50852,f2(a1))+E(f52(x50851,x50852),f822(f822(f243(a1,a1),f2(a1)),f822(f75(a1),x50851)))
% 218.59/218.71 [5087]~P107(x50871)+P144(f822(f822(f226(x50871),f182(x50871)),x50872))
% 218.59/218.71 [5088]~P112(x50881)+P144(f822(f822(f276(x50881),f77(x50881)),x50882))
% 218.59/218.71 [5121]E(x51211,x51212)+~E(f822(f822(f79(a1),x51211),x51211),f822(f822(f79(a1),x51212),x51212))
% 218.59/218.71 [5125]~P144(f822(x51251,x51252))+P144(f822(x51251,f822(a100,f527(x51251))))
% 218.59/218.71 [5151]~P111(x51511)+E(f822(f822(f80(x51511),f81(x51511,x51512)),f822(f75(x51511),x51512)),x51512)
% 218.59/218.71 [5158]~E(x51582,f2(a885))+E(f84(f891(a885,a885),f47(x51581,x51582)),f822(f822(f243(a885,a885),f2(a885)),x51581))
% 218.59/218.71 [5163]~E(x51631,x51632)+~P144(f822(f822(f227(a885),x51631),x51632))
% 218.59/218.71 [5164]~E(x51641,x51642)+~P144(f822(f822(f227(a1),x51641),x51642))
% 218.59/218.71 [5167]~P1(x51671)+E(f822(f822(f79(x51671),f77(x51671)),f822(f95(x51671),x51672)),f822(f95(x51671),f822(a107,x51672)))
% 218.59/218.71 [5171]~E(x51711,f2(a885))+~P144(f822(f822(f227(a885),x51712),x51711))
% 218.59/218.71 [5185]E(f144(x51851,x51852),x51852)+~E(f822(f183(f887(x51851)),f144(x51851,x51852)),f822(f183(f887(x51851)),x51852))
% 218.59/218.71 [5186]E(f822(f34(x51861),f822(f164(x51861),x51862)),f822(f183(f887(x51861)),x51862))+~P144(f822(f129(x51861),x51862))
% 218.59/218.71 [5200]~P144(f822(x52001,f453(x52001)))+P144(f822(x52001,f822(f95(a1),x52002)))
% 218.59/218.71 [5211]E(f232(x52111,x52112),x52112)+~P144(f822(f822(f227(a94),x52111),x52112))
% 218.59/218.71 [5213]E(f261(x52131,x52132),f77(a94))+~P144(f822(f822(f227(a94),x52132),x52131))
% 218.59/218.71 [5214]E(f170(x52141,x52142),f108(a1))+~P144(f822(f822(f227(a1),x52142),x52141))
% 218.59/218.71 [5215]E(f121(x52151,x52152),f110(a1))+~P144(f822(f822(f227(a1),x52151),x52152))
% 218.59/218.71 [5217]~P91(x52171)+E(f292(x52171,x52172,x52172),f822(f822(f298(x52171),x52172),f182(f892(x52171,a882))))
% 218.59/218.71 [5238]~E(f822(f822(f3(a885),x52381),x52382),f2(a885))+P144(f822(f822(f226(a885),x52381),x52382))
% 218.59/218.71 [5261]~E(x52612,f2(a885))+E(f54(x52611,x52612,f108(x52611)),f822(f822(f143(f887(x52611)),f108(x52611)),f108(f887(x52611))))
% 218.59/218.71 [5265]~P110(x52651)+~P144(f822(f822(f227(x52651),x52652),x52652))
% 218.59/218.71 [5267]~E(f44(a1,x52671,x52672),f2(a1))+E(f44(a1,x52671,f822(f78(a1),x52672)),f2(a1))
% 218.59/218.71 [5269]~E(f44(a1,x52691,x52692),f2(a1))+E(f44(a1,f822(f78(a1),x52691),x52692),f2(a1))
% 218.59/218.71 [5278]E(f822(f291(a885,x52781),f822(a107,x52782)),f182(f892(a885,a882)))+P144(f822(f822(f226(a885),x52781),x52782))
% 218.59/218.71 [5302]E(f131(a885,f822(f291(a885,x53021),x53022)),f108(a885))+P144(f822(f822(f227(a885),x53021),x53022))
% 218.59/218.71 [5307]~E(f822(f34(x53071),f822(f164(x53071),x53072)),f822(f183(f887(x53071)),x53072))+P144(f822(f129(x53071),x53072))
% 218.59/218.71 [5311]~P144(f822(f129(x53111),x53112))+P144(f822(f129(x53111),f822(f159(x53111),x53112)))
% 218.59/218.71 [5312]~P144(f822(f129(x53121),x53122))+P144(f822(f129(x53121),f822(f163(x53121),x53122)))
% 218.59/218.71 [5313]~P144(f822(f129(x53131),x53132))+P144(f822(f129(x53131),f822(f160(x53131),x53132)))
% 218.59/218.71 [5322]P144(f822(x53221,x53222))+~P144(f822(x53221,f822(a100,f528(x53221))))
% 218.59/218.71 [5323]P144(f822(f822(f226(a885),x53232),x53231))+P144(f822(f822(f226(a885),x53231),x53232))
% 218.59/218.71 [5324]P144(f822(f822(f226(a1),x53242),x53241))+P144(f822(f822(f226(a1),x53241),x53242))
% 218.59/218.71 [5328]~P84(x53281)+P144(f822(f822(f226(x53281),x53282),f822(f75(x53281),x53282)))
% 218.59/218.71 [5331]P144(f822(x53311,f497(x53311)))+~P144(f822(x53311,f822(f95(a1),x53312)))
% 218.59/218.71 [5354]E(f822(f822(f35(a885),x53541),x53542),f2(a885))+~P144(f822(f822(f227(a885),x53541),x53542))
% 218.59/218.71 [5356]E(f822(f822(f3(a885),x53561),x53562),f2(a885))+~P144(f822(f822(f226(a885),x53561),x53562))
% 218.59/218.71 [5375]E(f44(a885,x53751,x53752),x53751)+~P144(f822(f822(f227(a885),x53751),x53752))
% 218.59/218.71 [5383]E(f44(a1,x53831,f822(f78(a1),x53832)),f281(x53831,x53832))+P144(f822(f822(f226(a1),f2(a1)),x53832))
% 218.59/218.71 [5396]E(f822(f822(f3(a1),x53961),x53962),f188(x53961,x53962))+~P144(f822(f822(f226(a1),x53962),x53961))
% 218.59/218.71 [5414]P144(f822(f822(f226(a1),f2(a1)),f453(x54141)))+P144(f822(x54141,f822(f95(a1),x54142)))
% 218.59/218.71 [5428]~P90(x54281)+P144(f822(f822(f226(x54281),f2(x54281)),f822(f95(x54281),x54282)))
% 218.59/218.71 [5429]~P84(x54291)+P144(f822(f822(f226(x54291),f2(x54291)),f822(f75(x54291),x54292)))
% 218.59/218.71 [5457]E(f822(f822(f79(a885),x54571),f573(x54572,x54571)),x54572)+~P144(f822(f822(f226(a885),x54571),x54572))
% 218.59/218.71 [5469]~E(f822(f99(a1),x54691),f822(f95(a1),x54692))+P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x54691)))
% 218.59/218.71 [5472]E(f292(a1,x54721,x54722),f182(f892(a1,a882)))+~P144(f822(f822(f227(a1),x54722),x54721))
% 218.59/218.71 [5475]~P111(x54751)+E(f822(f822(f80(x54751),f822(f75(x54751),x54752)),f822(f75(x54751),x54752)),f822(f822(f80(x54751),x54752),x54752))
% 218.59/218.71 [5480]E(f131(a885,f822(f291(a885,x54801),f822(a107,x54802))),f108(a885))+P144(f822(f822(f226(a885),x54801),x54802))
% 218.59/218.71 [5483]E(f822(f822(f35(a1),x54831),x54832),f282(x54831,x54832))+~P144(f822(f822(f226(a1),f2(a1)),x54832))
% 218.59/218.71 [5503]P144(f822(f129(x55031),x55032))+~P144(f822(f129(x55031),f822(f159(x55031),x55032)))
% 218.59/218.71 [5504]P144(f822(f129(x55041),x55042))+~P144(f822(f129(x55041),f822(f160(x55041),x55042)))
% 218.59/218.71 [5531]P144(f822(f60(a885),x55311))+P144(f822(f822(f318(a885),f358(x55311,x55312)),x55311))
% 218.59/218.71 [5532]P144(f822(f60(a885),x55321))+P144(f822(f822(f318(a885),f363(x55321,x55322)),x55321))
% 218.59/218.71 [5535]P144(f822(f822(f227(a885),x55352),f822(a107,x55351)))+P144(f822(f822(f227(a885),x55351),x55352))
% 218.59/218.71 [5536]E(f44(a1,x55361,x55362),f281(x55361,x55362))+~P144(f822(f822(f226(a1),f2(a1)),x55362))
% 218.59/218.71 [5539]E(f131(a885,f822(f291(a885,x55391),x55392)),f108(a885))+~P144(f822(f822(f226(a885),x55392),x55391))
% 218.59/218.71 [5540]~P80(x55401)+E(f822(f299(x55401,x55401,f78(x55401)),f822(f271(x55401),x55402)),f822(f293(x55401),f822(f78(x55401),x55402)))
% 218.59/218.71 [5541]~P80(x55411)+E(f822(f299(x55411,x55411,f78(x55411)),f822(f293(x55411),x55412)),f822(f271(x55411),f822(f78(x55411),x55412)))
% 218.59/218.71 [5542]~P80(x55421)+E(f822(f299(x55421,x55421,f78(x55421)),f822(f290(x55421),x55422)),f822(f272(x55421),f822(f78(x55421),x55422)))
% 218.59/218.71 [5543]~P80(x55431)+E(f822(f299(x55431,x55431,f78(x55431)),f822(f272(x55431),x55432)),f822(f290(x55431),f822(f78(x55431),x55432)))
% 218.59/218.71 [5554]E(x55541,f182(f892(x55542,a882)))+P144(f822(f822(f318(x55542),f369(x55541,x55542)),x55541))
% 218.59/218.71 [5555]E(x55551,f182(f892(x55552,a882)))+P144(f822(f822(f318(x55552),f370(x55551,x55552)),x55551))
% 218.59/218.71 [5566]~P144(f822(f822(f227(a885),x55661),x55662))+P144(f822(f822(f226(a885),x55661),x55662))
% 218.59/218.71 [5567]~P144(f822(f822(f227(a1),x55671),x55672))+P144(f822(f822(f226(a1),x55671),x55672))
% 218.59/218.71 [5583]E(f46(x55831,x55832),f822(f822(f243(a1,a1),f2(a1)),x55831))+~P144(f822(f822(f227(a1),x55831),x55832))
% 218.59/218.71 [5585]E(f209(f822(f78(a1),x55851),f822(f78(a1),x55852)),f209(x55851,x55852))+~P144(f822(f822(f227(a1),x55852),f2(a1)))
% 218.59/218.71 [5597]E(x55971,x55972)+~E(f822(a5,f822(a107,f822(a22,x55971))),f822(a5,f822(a107,f822(a22,x55972))))
% 218.59/218.71 [5602]E(f46(x56021,x56022),f822(f822(f243(a1,a1),f2(a1)),x56021))+~P144(f822(f822(f226(a1),x56022),f2(a1)))
% 218.59/218.71 [5631]E(f44(a885,f822(f99(a885),x56311),f822(f99(a885),x56312)),f2(a885))+~P144(f822(a187,f822(f99(a1),x56311)))
% 218.59/218.71 [5646]P144(f822(f822(f226(a1),f2(a1)),f497(x56461)))+~P144(f822(x56461,f822(f95(a1),x56462)))
% 218.59/218.71 [5679]P39(f292(a1,x56791,x56792))+~P144(f822(f822(f226(a1),f2(a1)),x56791))
% 218.59/218.71 [5684]~P144(f822(f60(x56841),x56842))+P144(f822(f60(f892(x56841,a882)),f822(f297(x56841),x56842)))
% 218.59/218.71 [5697]E(f822(f822(f79(a1),x56971),f822(f95(a1),f574(x56972,x56971))),x56972)+~P144(f822(f822(f226(a1),x56971),x56972))
% 218.59/218.71 [5705]P144(f822(f822(f226(a885),x57051),x57052))+P144(f822(f822(f226(a885),f822(a107,x57052)),x57051))
% 218.59/218.71 [5749]E(f822(f822(f35(a885),f822(f99(a885),x57491)),f822(f99(a885),x57492)),f2(a885))+~P144(f822(a187,f822(f99(a1),x57491)))
% 218.59/218.71 [5750]E(f822(f822(f80(a885),f822(f99(a885),x57501)),f822(f99(a885),x57502)),f2(a885))+~P144(f822(f822(f227(a1),x57501),a82))
% 218.59/218.71 [5752]P144(f822(f822(f227(a885),x57521),f822(a107,x57522)))+~P144(f822(f822(f227(a885),x57521),x57522))
% 218.59/218.71 [5754]P144(f822(f822(f227(a885),x57541),f822(a107,x57542)))+~P144(f822(f822(f226(a885),x57541),x57542))
% 218.59/218.71 [5756]P144(f822(f822(f226(a885),x57561),f822(a107,x57562)))+~P144(f822(f822(f226(a885),x57561),x57562))
% 218.59/218.71 [5759]~E(x57591,x57592)+P144(f822(f822(f227(a1),x57591),f822(f822(f79(a1),x57592),f77(a1))))
% 218.59/218.71 [5762]E(f44(a1,x57621,x57622),f2(a1))+E(f822(f822(f3(a1),x57622),f44(a1,x57621,x57622)),f44(a1,f822(f78(a1),x57621),x57622))
% 218.59/218.71 [5771]E(x57711,f108(x57712))+P144(f822(f822(f318(x57712),f136(x57712,x57711)),f822(f164(x57712),x57711)))
% 218.59/218.71 [5783]E(f84(f891(a885,a885),f47(x57831,x57832)),f822(f822(f243(a885,a885),f2(a885)),x57831))+~P144(f822(f822(f227(a885),x57831),x57832))
% 218.59/218.71 [5827]E(f822(f822(f79(a885),f822(f99(a885),x58271)),f822(f99(a885),x58272)),f822(f99(a885),x58272))+~P144(f822(f822(f227(a1),x58271),a82))
% 218.59/218.71 [5828]E(f822(f822(f3(a885),f822(f99(a885),x58281)),f822(f99(a885),x58282)),f822(f99(a885),x58281))+~P144(f822(f822(f227(a1),x58282),a82))
% 218.59/218.71 [5835]E(f822(a107,f822(f822(f79(a885),x58351),f406(x58352,x58351))),x58352)+~P144(f822(f822(f227(a885),x58351),x58352))
% 218.59/218.71 [5842]~P144(f822(f822(f276(a1),x58421),x58422))+P144(f822(f822(f276(a1),x58421),f822(f78(a1),x58422)))
% 218.59/218.71 [5861]P144(f822(x58611,x58612))+~P144(f822(x58611,f822(a88,f550(x58612,x58611))))
% 218.59/218.71 [5869]~P144(f822(f822(f227(a885),x58691),f822(a107,x58692)))+P144(f822(f822(f226(a885),x58691),x58692))
% 218.59/218.71 [5918]E(f822(f822(f298(a885),x59181),f822(f291(a885,x59182),x59181)),f822(f291(a885,x59182),f822(a107,x59181)))+~P144(f822(f822(f226(a885),x59182),x59181))
% 218.59/218.71 [5921]E(x59211,f108(x59212))+E(f822(f822(f126(x59212),f109(x59212,x59211)),f822(f822(f143(x59212),f136(x59212,x59211)),f108(x59212))),x59211)
% 218.59/218.71 [5938]P144(f822(f60(x59381),x59382))+~P144(f822(f822(f227(a885),f2(a885)),f822(f34(x59381),x59382)))
% 218.59/218.71 [5942]~E(x59421,f182(f892(x59422,a882)))+~P144(f822(f822(f227(a885),f2(a885)),f822(f34(x59422),x59421)))
% 218.59/218.71 [5954]~P144(f822(f822(f227(a885),x59541),x59542))+P144(f822(f822(f226(a885),f822(a107,x59541)),x59542))
% 218.59/218.71 [5958]~P92(x59581)+E(f142(x59581,x59581,f7(x59581),f144(x59581,x59582)),f131(x59581,f822(f164(x59581),x59582)))
% 218.59/218.71 [5961]E(x59611,f108(x59612))+P144(f822(f822(f318(x59612),f822(f133(x59612),x59611)),f822(f164(x59612),x59611)))
% 218.59/218.71 [5967]~P90(x59671)+P144(f822(f822(f227(x59671),x59672),f822(f822(f79(x59671),x59672),f77(x59671))))
% 218.59/218.71 [5969]~P84(x59691)+P144(f822(f822(f226(x59691),f822(f78(x59691),x59692)),f822(f75(x59691),x59692)))
% 218.59/218.71 [5983]P144(f822(f822(f276(a1),x59831),x59832))+~P144(f822(f822(f276(a1),x59831),f822(f78(a1),x59832)))
% 218.59/218.71 [5984]~E(x59841,x59842)+E(f279(a885,f276(a885),x59841,x59842),f822(f822(f298(a885),x59841),f182(f892(a885,a882))))
% 218.59/218.71 [6002]P144(f822(f60(a885),x60021))+~P144(f822(f822(f227(a885),f358(x60021,x60022)),x60022))
% 218.59/218.71 [6003]P144(f822(f60(a885),x60031))+~P144(f822(f822(f226(a885),f363(x60031,x60032)),x60032))
% 218.59/218.71 [6006]~P144(f822(f60(f891(x60061,x60061)),x60062))+P144(f822(f60(x60061),f822(f270(x60061),x60062)))
% 218.59/218.71 [6062]E(f279(a885,f276(a885),x60621,x60622),f182(f892(a885,a882)))+P144(f822(f822(f276(a885),x60621),x60622))
% 218.59/218.71 [6065]~P144(f822(f822(f227(a885),x60652),f822(a107,x60651)))+~P144(f822(f822(f227(a885),x60651),x60652))
% 218.59/218.71 [6066]~P91(x60661)+E(f822(f822(f97(f892(x60661,a882)),f822(f290(x60661),x60662)),f822(f272(x60661),x60662)),f822(f822(f298(x60661),x60662),f182(f892(x60661,a882))))
% 218.59/218.71 [6080]P144(f822(f60(x60801),x60802))+~P144(f822(f60(f892(x60801,a882)),f822(f297(x60801),x60802)))
% 218.59/218.71 [6103]P144(f822(f822(f227(a885),f822(a107,x61031)),f822(a107,x61032)))+~P144(f822(f822(f227(a885),x61031),x61032))
% 218.59/218.71 [6104]P144(f822(f822(f227(a885),f822(a22,x61041)),f822(a22,x61042)))+~P144(f822(f822(f227(a94),x61041),x61042))
% 218.59/218.71 [6105]P144(f822(f822(f227(a94),f822(a5,x61051)),f822(a5,x61052)))+~P144(f822(f822(f227(a885),x61051),x61052))
% 218.59/218.71 [6106]P144(f822(f822(f226(a885),f822(a107,x61061)),f822(a107,x61062)))+~P144(f822(f822(f226(a885),x61061),x61062))
% 218.59/218.71 [6107]P144(f822(f822(f226(a885),f822(a22,x61071)),f822(a22,x61072)))+~P144(f822(f822(f226(a94),x61071),x61072))
% 218.59/218.71 [6108]P144(f822(f822(f226(a94),f822(a5,x61081)),f822(a5,x61082)))+~P144(f822(f822(f226(a885),x61081),x61082))
% 218.59/218.71 [6113]E(x61131,x61132)+~E(f822(f299(a885,a1,f95(a1)),x61131),f822(f299(a885,a1,f95(a1)),x61132))
% 218.59/218.71 [6129]P144(f822(f822(f227(a885),x61291),x61292))+~P144(f822(f822(f227(a885),f822(a107,x61291)),x61292))
% 218.59/218.71 [6132]P144(f822(f822(f227(a885),x61321),x61322))+~P144(f822(f822(f226(a885),f822(a107,x61321)),x61322))
% 218.59/218.71 [6133]P144(f822(f822(f226(a885),x61331),x61332))+~P144(f822(f822(f226(a885),f822(a107,x61331)),x61332))
% 218.59/218.71 [6154]E(f44(a1,x61541,x61542),f2(a1))+E(f822(f822(f3(a1),f44(a1,x61541,x61542)),x61542),f44(a1,x61541,f822(f78(a1),x61542)))
% 218.59/218.71 [6224]E(f822(f34(f892(x62241,a882)),f822(f297(x62241),x62242)),f822(f822(f235(a885),f822(a107,f822(a107,f2(a885)))),f822(f34(x62241),x62242)))+~P144(f822(f60(x62241),x62242))
% 218.59/218.71 [6227]E(x62271,f108(x62272))+E(f822(f822(f156(x62272),x62271),f822(f822(f3(a885),f822(f183(f887(x62272)),x62271)),f77(a885))),f136(x62272,x62271))
% 218.59/218.71 [6249]E(x62491,f108(x62492))+E(f822(f822(f126(x62492),f822(f163(x62492),x62491)),f822(f822(f143(x62492),f822(f133(x62492),x62491)),f108(x62492))),f822(f159(x62492),x62491))
% 218.59/218.71 [6281]~P144(f822(f60(x62811),f36(f892(x62811,a882),x62812)))+P144(f822(f60(f892(x62811,a882)),x62812))
% 218.59/218.71 [6303]P144(f822(f822(f226(a885),f822(f99(a885),x63031)),f822(f99(a885),x63032)))+~P144(f822(f822(f226(a1),x63031),a82))
% 218.59/218.71 [6326]~P144(f822(f822(f227(a1),x63261),x63262))+P144(f822(f822(f227(a1),x63261),f822(f822(f79(a1),x63262),f77(a1))))
% 218.59/218.71 [6327]~P144(f822(f822(f226(a1),x63271),x63272))+P144(f822(f822(f227(a1),x63271),f822(f822(f79(a1),x63272),f77(a1))))
% 218.59/218.71 [6328]~P144(f822(f822(f227(a1),x63281),x63282))+P144(f822(f822(f226(a1),x63281),f822(f822(f3(a1),x63282),f77(a1))))
% 218.59/218.71 [6331]~P144(f822(f822(f227(a885),x63311),x63312))+P144(f822(f822(f227(a1),f822(f95(a1),x63311)),f822(f95(a1),x63312)))
% 218.59/218.71 [6332]~P144(f822(f822(f227(a1),x63321),x63322))+P144(f822(f822(f227(a1),f822(f99(a1),x63321)),f822(f99(a1),x63322)))
% 218.59/218.71 [6333]~P144(f822(f822(f226(a1),x63331),x63332))+P144(f822(f822(f226(a885),f822(f99(a885),x63331)),f822(f99(a885),x63332)))
% 218.59/218.71 [6335]~P144(f822(f822(f226(a885),x63351),x63352))+P144(f822(f822(f226(a1),f822(f95(a1),x63351)),f822(f95(a1),x63352)))
% 218.59/218.71 [6336]~P144(f822(f822(f226(a1),x63361),x63362))+P144(f822(f822(f226(a1),f822(f99(a1),x63361)),f822(f99(a1),x63362)))
% 218.59/218.71 [6338]~P144(f822(f822(f276(a885),x63381),x63382))+P144(f822(f822(f276(a1),f822(f95(a1),x63381)),f822(f95(a1),x63382)))
% 218.59/218.71 [6358]~P144(f822(f822(f226(a885),x63581),x63582))+~P144(f822(f822(f226(a885),f822(a107,x63582)),x63581))
% 218.59/218.71 [6406]~P144(f822(f822(f227(a885),f822(a107,x64061)),f822(a107,x64062)))+P144(f822(f822(f227(a885),x64061),x64062))
% 218.59/218.71 [6407]~P144(f822(f822(f227(a94),f822(a5,x64071)),f822(a5,x64072)))+P144(f822(f822(f227(a885),x64071),x64072))
% 218.59/218.71 [6408]~P144(f822(f822(f227(a885),f822(a100,x64081)),f822(a100,x64082)))+P144(f822(f822(f227(a1),x64081),x64082))
% 218.59/218.71 [6409]~P144(f822(f822(f227(a885),f822(a22,x64091)),f822(a22,x64092)))+P144(f822(f822(f227(a94),x64091),x64092))
% 218.59/218.71 [6410]~P144(f822(f822(f226(a885),f822(a107,x64101)),f822(a107,x64102)))+P144(f822(f822(f226(a885),x64101),x64102))
% 218.59/218.71 [6411]~P144(f822(f822(f226(a94),f822(a5,x64111)),f822(a5,x64112)))+P144(f822(f822(f226(a885),x64111),x64112))
% 218.59/218.71 [6412]~P144(f822(f822(f226(a885),f822(a22,x64121)),f822(a22,x64122)))+P144(f822(f822(f226(a94),x64121),x64122))
% 218.59/218.71 [6457]~P144(f822(f822(f227(a885),f822(a100,x64572)),f822(a100,x64571)))+P144(f822(f822(f227(a1),f2(a1)),x64571))
% 218.59/218.71 [6468]~E(f44(a1,f822(f99(a1),x64682),f822(f99(a1),x64681)),f2(a1))+P144(f822(f822(f276(a1),f822(f99(a1),x64681)),f822(f99(a1),x64682)))
% 218.59/218.71 [6489]P144(f822(f822(f226(a1),f2(a1)),f44(a1,x64891,x64892)))+~P144(f822(f822(f227(a1),f2(a1)),x64892))
% 218.59/218.71 [6657]P36(x66571,x66572)+~E(f822(f822(f278(x66571,x66571,x66571),x66572),x66572),f182(f892(f891(x66571,x66571),a882)))
% 218.59/218.71 [6674]~P36(x66741,x66742)+P36(x66741,f822(f822(f278(x66741,x66741,x66741),x66742),x66742))
% 218.59/218.71 [6685]P144(f822(f822(f227(a1),x66851),x66852))+~P144(f822(f822(f226(a1),x66851),f822(f822(f3(a1),x66852),f77(a1))))
% 218.59/218.71 [6686]P144(f822(f822(f226(a1),x66861),x66862))+~P144(f822(f822(f227(a1),x66861),f822(f822(f79(a1),x66862),f77(a1))))
% 218.59/218.71 [6689]P144(f822(f822(f227(a885),x66891),x66892))+~P144(f822(f822(f227(a1),f822(f95(a1),x66891)),f822(f95(a1),x66892)))
% 218.59/218.71 [6690]P144(f822(f822(f227(a1),x66901),x66902))+~P144(f822(f822(f227(a885),f822(f99(a885),x66901)),f822(f99(a885),x66902)))
% 218.59/218.71 [6691]P144(f822(f822(f227(a1),x66911),x66912))+~P144(f822(f822(f227(a1),f822(f99(a1),x66911)),f822(f99(a1),x66912)))
% 218.59/218.71 [6693]P144(f822(f822(f226(a885),x66931),x66932))+~P144(f822(f822(f226(a1),f822(f95(a1),x66931)),f822(f95(a1),x66932)))
% 218.59/218.71 [6694]P144(f822(f822(f226(a1),x66941),x66942))+~P144(f822(f822(f226(a1),f822(f99(a1),x66941)),f822(f99(a1),x66942)))
% 218.59/218.71 [6696]P144(f822(f822(f276(a885),x66961),x66962))+~P144(f822(f822(f276(a1),f822(f95(a1),x66961)),f822(f95(a1),x66962)))
% 218.59/218.71 [6754]E(f44(a1,f822(f99(a1),x67541),f822(f99(a1),x67542)),f2(a1))+~P144(f822(f822(f276(a1),f822(f99(a1),x67542)),f822(f99(a1),x67541)))
% 218.59/218.71 [6769]~E(f279(a885,f276(a885),x67691,x67692),f182(f892(a885,a882)))+~P144(f822(f822(f276(a885),x67691),x67692))
% 218.59/218.71 [6796]~E(f711(x67962,x67961),f108(x67961))+E(f822(f134(f887(x67961),f887(x67961),f126(x67961),f108(x67961)),x67962),f108(x67961))
% 218.59/218.71 [6797]~E(f716(x67972,x67971),f108(x67971))+E(f822(f134(f887(x67971),f887(x67971),f126(x67971),f108(x67971)),x67972),f108(x67971))
% 218.59/218.71 [6801]~P7(x68011)+E(f822(f134(x68011,x68011,f97(x68011),f233(x68011)),x68012),f37(x68011,f822(f164(x68011),x68012)))
% 218.59/218.71 [6802]~P7(x68021)+E(f822(f134(x68021,x68021,f96(x68021),f182(x68021)),x68022),f36(x68021,f822(f164(x68021),x68022)))
% 218.59/218.71 [6816]E(x68161,f2(a94))+E(f822(f822(f79(a885),f822(a22,f822(f822(f3(a94),x68161),f77(a94)))),f822(a107,x68162)),f822(f822(f79(a885),f822(a22,x68161)),x68162))
% 218.59/218.71 [6866]P144(f822(f822(f227(a1),f822(f822(f3(a1),x68661),x68662)),f2(a1)))+~P144(f822(f822(f227(a1),x68661),x68662))
% 218.59/218.71 [6893]~P92(x68931)+E(f822(f822(f96(f892(x68931,a882)),f822(f822(f298(x68931),x68932),f182(f892(x68931,a882)))),f822(f293(x68931),x68932)),f822(f272(x68931),x68932))
% 218.59/218.71 [6974]~P61(x69741,x69742)+P36(x69741,f822(f253(f891(x69741,x69741)),f822(f248(x69741,x69741,a882),x69742)))
% 218.59/218.71 [6975]~P61(x69751,x69752)+P59(x69751,f822(f253(f891(x69751,x69751)),f822(f248(x69751,x69751,a882),x69752)))
% 218.59/218.71 [6976]~P51(x69761,x69762)+P37(x69761,f822(f253(f891(x69761,x69761)),f822(f248(x69761,x69761,a882),x69762)))
% 218.59/218.71 [6977]~P52(x69771,x69772)+P53(x69771,f822(f253(f891(x69771,x69771)),f822(f248(x69771,x69771,a882),x69772)))
% 218.59/218.71 [6978]E(x69781,f182(f892(x69782,a882)))+~P144(f822(f822(f226(f892(x69782,a882)),x69781),f182(f892(x69782,a882))))
% 218.59/218.71 [7064]~P144(f822(f822(f227(a885),f2(a885)),x70642))+P144(f822(f822(f227(a885),f44(a885,x70641,x70642)),x70642))
% 218.59/218.71 [7066]~P144(f822(f822(f227(a1),f2(a1)),x70662))+P144(f822(f822(f227(a1),f44(a1,x70661,x70662)),x70662))
% 218.59/218.71 [7067]~P144(f822(f822(f227(a885),f2(a885)),x70672))+P144(f822(f822(f226(a885),f44(a885,x70671,x70672)),x70672))
% 218.59/218.71 [7068]~P144(f822(f822(f226(a1),f2(a1)),x70681))+P144(f822(f822(f226(a1),f44(a1,x70681,x70682)),x70681))
% 218.59/218.71 [7144]~P91(x71441)+E(f822(f822(f3(f892(x71441,a882)),f822(f822(f298(x71441),x71442),f182(f892(x71441,a882)))),f822(f271(x71441),x71442)),f822(f822(f298(x71441),x71442),f182(f892(x71441,a882))))
% 218.59/218.71 [7221]~P43(x72211,x72212)+P54(x72211,f233(f892(x72211,a882)),f822(f253(f891(x72211,x72211)),f822(f248(x72211,x72211,a882),x72212)))
% 218.59/218.71 [7222]P144(f822(x72221,x72222))+P144(f822(f822(f318(f892(f891(a885,a885),a882)),f550(x72222,x72221)),a93))
% 218.59/218.71 [7265]E(f822(f822(f126(a885),f131(a885,f822(f291(a885,x72651),x72652))),f822(f822(f143(a885),x72652),f108(a885))),f131(a885,f822(f291(a885,x72651),f822(a107,x72652))))+~P144(f822(f822(f226(a885),x72651),x72652))
% 218.59/218.71 [7427]E(x74271,f2(a885))+~E(f822(f134(a885,a885,f79(a885),x74271),x74272),f2(a885))
% 218.59/218.71 [7453]~P144(f822(f822(f227(a1),f822(f822(f3(a1),x74531),x74532)),f2(a1)))+P144(f822(f822(f227(a1),x74531),x74532))
% 218.59/218.71 [7482]P36(x74821,x74822)+~P36(x74821,f822(f822(f278(x74821,x74821,x74821),x74822),x74822))
% 218.59/218.71 [7510]~P144(f822(f822(f226(a885),f822(a107,x75101)),x75102))+P144(f177(a882,a180,f822(f226(a885),x75101),x75102))
% 218.59/218.71 [7670]P26(a885,a885,f822(f822(f9(a885,a885,a885),f3(a885)),x76701),x76702)+P144(f822(f822(f318(a885),f559(x76701,x76702)),x76702))
% 218.59/218.71 [7728]E(f822(f822(f822(f64(a885,x77281,f79(a885)),f822(f18(a885,x77281),f77(a885))),f2(a885)),x77282),f822(f34(x77281),x77282))+~P144(f822(f60(x77281),x77282))
% 218.59/218.71 [7770]P26(a885,a885,f822(f822(f9(a885,a885,a885),f3(a885)),x77701),x77702)+~P144(f822(f822(f226(a885),x77701),f559(x77701,x77702)))
% 218.59/218.71 [7826]P36(x78261,x78262)+P144(f822(f822(f226(f892(x78261,a882)),f556(x78262,x78261)),f822(f274(x78261,x78261,x78262),f556(x78262,x78261))))
% 218.59/218.71 [7831]P61(x78311,x78312)+~P36(x78311,f822(f253(f891(x78311,x78311)),f822(f248(x78311,x78311,a882),x78312)))
% 218.59/218.71 [7832]P51(x78321,x78322)+~P37(x78321,f822(f253(f891(x78321,x78321)),f822(f248(x78321,x78321,a882),x78322)))
% 218.59/218.71 [7833]P52(x78331,x78332)+~P53(x78331,f822(f253(f891(x78331,x78331)),f822(f248(x78331,x78331,a882),x78332)))
% 218.59/218.71 [7905]P144(f822(f822(f226(a885),f822(a107,x79051)),x79052))+~P144(f177(a882,a180,f822(f226(a885),x79051),x79052))
% 218.59/218.71 [7962]P144(f822(f822(f318(f891(a885,a885)),f822(f822(f243(a885,a885),x79621),x79622)),f296(a885,a306)))+~P144(f822(f822(f226(a885),x79621),x79622))
% 218.59/218.71 [8058]P43(x80581,x80582)+~P54(x80581,f233(f892(x80581,a882)),f822(f253(f891(x80581,x80581)),f822(f248(x80581,x80581,a882),x80582)))
% 218.59/218.71 [8116]~P144(f822(f129(x81161),x81162))+P144(f822(f129(f892(x81161,a882)),f822(f822(f146(f887(x81161),f892(x81161,a882)),f164(x81161)),f53(x81161,x81162))))
% 218.59/218.71 [8316]~P36(x83161,f822(f275(x83161,x83161),x83162))+P36(x83161,f822(f275(x83161,x83161),f822(f822(f278(x83161,x83161,x83161),x83162),f296(x83161,x83162))))
% 218.59/218.71 [8438]P144(f822(f60(f891(x84381,x84381)),f822(f822(f278(x84381,x84381,x84381),x84382),f296(x84381,x84382))))+~P144(f822(f60(f891(x84381,x84381)),x84382))
% 218.59/218.71 [8465]E(x84651,f2(a1))+P144(f822(f48(x84652,x84651),f822(f822(f243(a1,a1),f822(f822(f35(a1),x84652),x84651)),f44(a1,x84652,x84651))))
% 218.59/218.71 [8476]~P144(f822(f822(f318(f891(a885,a885)),f822(f822(f243(a885,a885),x84761),x84762)),f296(a885,a306)))+P144(f822(f822(f226(a885),x84761),x84762))
% 218.59/218.71 [8493]~P73(x84931)+E(f822(f134(x84931,x84931,f822(f9(x84931,x84931,x84931),f79(x84931)),f2(x84931)),f822(f160(x84931),x84932)),f822(f134(x84931,x84931,f79(x84931),f2(x84931)),x84932))
% 218.59/218.71 [8662]~P92(x86621)+E(f822(f134(f887(x86621),x86621,f822(f9(x86621,f887(x86621),f887(x86621)),f140(x86621,x86621,f7(x86621))),f108(x86621)),x86622),f142(x86621,x86621,f7(x86621),x86622))
% 218.59/218.71 [8759]~P59(x87591,f822(f253(f891(x87591,x87591)),f822(f248(x87591,x87591,a882),x87592)))+P59(x87591,f822(f253(f891(x87591,x87591)),f822(f248(x87591,x87591,a882),f234(x87591,x87591,x87592))))
% 218.59/218.71 [8773]P144(f822(f822(f318(f891(a885,a885)),f822(f822(f243(a885,a885),x87731),x87732)),f822(f822(f278(a885,a885,a885),a306),f296(a885,a306))))+~P144(f822(f822(f227(a885),x87731),x87732))
% 218.59/218.71 [8815]~P144(f822(f60(f891(x88151,x88151)),f822(f822(f278(x88151,x88151,x88151),x88152),f296(x88151,x88152))))+P144(f822(f60(f891(x88151,x88151)),x88152))
% 218.59/218.71 [8868]~P59(x88681,f822(f253(f891(x88681,x88681)),f822(f248(x88681,x88681,a882),f234(x88681,x88681,x88682))))+P59(x88681,f822(f253(f891(x88681,x88681)),f822(f248(x88681,x88681,a882),x88682)))
% 218.59/218.71 [9060]P59(x90601,x90602)+P144(f822(f822(f318(f891(x90601,x90601)),f822(f822(f243(x90601,x90601),f593(x90602,x90601)),f593(x90602,x90601))),f822(f822(f278(x90601,x90601,x90601),x90602),f296(x90601,x90602))))
% 218.59/218.71 [9061]P59(x90611,x90612)+P144(f822(f822(f318(f891(x90611,x90611)),f822(f822(f243(x90611,x90611),f631(x90612,x90611)),f631(x90612,x90611))),f822(f822(f278(x90611,x90611,x90611),x90612),f296(x90611,x90612))))
% 218.59/218.71 [9176]~P144(f822(f822(f318(f891(a885,a885)),f822(f822(f243(a885,a885),x91761),x91762)),f822(f822(f278(a885,a885,a885),a306),f296(a885,a306))))+P144(f822(f822(f227(a885),x91761),x91762))
% 218.59/218.71 [5062]~P96(x50621)+E(f822(f822(f79(x50621),f822(f99(x50621),a82)),x50622),x50622)
% 218.59/218.71 [5093]~P75(x50931)+E(f822(f822(f79(x50931),f822(f78(x50931),x50932)),x50932),f2(x50931))
% 218.59/218.71 [5094]~P4(x50941)+E(f822(f822(f79(x50941),f822(f78(x50941),x50942)),x50942),f2(x50941))
% 218.59/218.71 [5095]~P97(x50951)+E(f822(f822(f96(x50951),f822(f78(x50951),x50952)),x50952),f233(x50951))
% 218.59/218.71 [5096]~P97(x50961)+E(f822(f822(f97(x50961),f822(f78(x50961),x50962)),x50962),f182(x50961))
% 218.59/218.71 [5129]~P96(x51291)+E(f822(f822(f80(x51291),f822(f99(x51291),a92)),x51292),f822(f78(x51291),x51292))
% 218.59/218.71 [5294]~P114(x52941)+E(f822(f822(f80(x52941),f822(f78(x52941),f77(x52941))),x52942),f822(f78(x52941),x52942))
% 218.59/218.71 [5340]E(f822(f75(a1),x53401),f77(a1))+~E(f822(f75(a1),f822(f822(f80(a1),x53401),x53402)),f77(a1))
% 218.59/218.71 [5431]~P96(x54311)+E(f822(f822(f79(x54311),f77(x54311)),f822(f99(x54311),x54312)),f822(f99(x54311),f822(f822(f3(a1),x54312),a92)))
% 218.59/218.71 [5484]~P100(x54841)+E(f15(x54841,f822(f822(f298(x54841),x54842),f182(f892(x54841,a882)))),x54842)
% 218.59/218.71 [5485]~P92(x54851)+E(f16(x54851,f822(f822(f298(x54851),x54852),f182(f892(x54851,a882)))),x54852)
% 218.59/218.71 [5486]~P92(x54861)+E(f17(x54861,f822(f822(f298(x54861),x54862),f182(f892(x54861,a882)))),x54862)
% 218.59/218.71 [5487]~P100(x54871)+E(f12(x54871,f822(f822(f298(x54871),x54872),f182(f892(x54871,a882)))),x54872)
% 218.59/218.71 [5488]~P7(x54881)+E(f37(x54881,f822(f822(f298(x54881),x54882),f182(f892(x54881,a882)))),x54882)
% 218.59/218.71 [5489]~P7(x54891)+E(f36(x54891,f822(f822(f298(x54891),x54892),f182(f892(x54891,a882)))),x54892)
% 218.59/218.71 [5511]E(f822(f822(f79(a885),x55111),f822(f822(f3(a885),x55112),x55111)),x55112)+P144(f822(f822(f227(a885),x55112),x55111))
% 218.59/218.71 [5549]E(x55491,f108(x55492))+P144(f822(f822(f227(a885),f2(a885)),f822(f183(f887(x55492)),x55491)))
% 218.59/218.71 [5676]~P92(x56761)+E(f13(x56761,f181(x56761),f822(f822(f298(x56761),x56762),f182(f892(x56761,a882)))),x56762)
% 218.59/218.71 [5677]~P92(x56771)+E(f14(x56771,f230(x56771),f822(f822(f298(x56771),x56772),f182(f892(x56771,a882)))),x56772)
% 218.59/218.71 [5738]E(f822(f822(f79(a885),x57381),f822(f822(f3(a885),x57382),x57381)),x57382)+~P144(f822(f822(f226(a885),x57381),x57382))
% 218.59/218.71 [5739]E(f822(f822(f80(a1),x57391),f822(f822(f35(a1),x57392),x57391)),x57392)+~P144(f822(f822(f276(a1),x57391),x57392))
% 218.59/218.71 [5740]E(f822(f822(f3(a885),x57401),f822(f822(f3(a885),x57401),x57402)),x57402)+~P144(f822(f822(f226(a885),x57402),x57401))
% 218.59/218.71 [5761]E(f44(a885,f822(f822(f3(a885),x57611),x57612),x57612),f44(a885,x57611,x57612))+P144(f822(f822(f227(a885),x57611),x57612))
% 218.59/218.71 [5772]E(f822(f78(a1),f822(f822(f35(a1),x57721),f822(f78(a1),x57722))),f282(x57721,x57722))+P144(f822(f822(f226(a1),f2(a1)),x57722))
% 218.59/218.71 [5774]~E(x57742,f2(a885))+P144(f822(f822(f227(a885),f2(a885)),f822(f822(f235(a885),x57741),x57742)))
% 218.59/218.71 [5839]~P96(x58391)+E(f822(f822(f79(x58391),f822(f78(x58391),f77(x58391))),f822(f99(x58391),x58392)),f822(f99(x58391),f822(f822(f79(a1),x58392),a92)))
% 218.59/218.71 [5840]E(f822(f822(f235(a885),f822(f99(a885),x58401)),x58402),f822(f822(f235(a885),f2(a885)),x58402))+~P144(f822(a187,f822(f99(a1),x58401)))
% 218.59/218.71 [5946]E(f822(f133(a885),f131(a885,f822(f291(a885,x59461),x59462))),x59461)+~P144(f822(f822(f227(a885),x59461),x59462))
% 218.59/218.71 [5962]E(f822(f822(f80(a885),f822(f99(a885),x59621)),f822(f99(a885),x59622)),f822(f99(a885),f822(f822(f80(a1),x59621),x59622)))+P144(f822(f822(f227(a1),x59621),a82))
% 218.59/218.71 [5968]~P125(x59681)+P144(f822(f822(f226(x59681),f2(x59681)),f822(f822(f80(x59681),x59682),x59682)))
% 218.59/218.71 [5980]E(f822(f822(f3(a885),f822(a107,x59801)),x59802),f822(a107,f822(f822(f3(a885),x59801),x59802)))+~P144(f822(f822(f226(a885),x59802),x59801))
% 218.59/218.71 [5985]E(f44(a885,f822(f822(f3(a885),x59851),x59852),x59852),f44(a885,x59851,x59852))+~P144(f822(f822(f226(a885),x59852),x59851))
% 218.59/218.71 [6039]E(f822(f822(f235(a885),f822(a100,x60391)),x60392),f822(a100,f822(f822(f235(a1),x60391),x60392)))+~P144(f822(f822(f226(a1),f2(a1)),x60391))
% 218.59/218.71 [6057]P144(f822(f129(x60571),x60572))+P144(f822(f822(f227(a885),f684(x60572,x60571)),f822(f183(f887(x60571)),x60572)))
% 218.59/218.71 [6058]P144(f822(f129(x60581),x60582))+P144(f822(f822(f227(a885),f698(x60582,x60581)),f822(f183(f887(x60581)),x60582)))
% 218.59/218.71 [6071]~P144(f822(f822(f276(a1),x60711),x60712))+P144(f822(f822(f276(a1),f822(f78(a1),x60711)),x60712))
% 218.59/218.71 [6074]~E(x60741,f108(x60742))+~P144(f822(f822(f227(a885),f2(a885)),f822(f183(f887(x60742)),x60741)))
% 218.59/218.71 [6085]E(f136(a885,f131(a885,f822(f291(a885,x60851),x60852))),f822(f822(f3(a885),x60852),f77(a885)))+~P144(f822(f822(f227(a885),x60851),x60852))
% 218.59/218.71 [6088]E(f822(f822(f79(a1),x60881),f822(f95(a1),f822(a107,f425(x60882,x60881)))),x60882)+~P144(f822(f822(f227(a1),x60881),x60882))
% 218.59/218.71 [6095]E(x60951,f2(a885))+E(f822(f822(f80(a885),x60952),f822(f822(f235(a885),x60952),f822(f822(f3(a885),x60951),f77(a885)))),f822(f822(f235(a885),x60952),x60951))
% 218.59/218.71 [6123]E(f822(f822(f80(a885),f822(a100,x61231)),f822(a100,x61232)),f822(a100,f822(f822(f80(a1),x61231),x61232)))+~P144(f822(f822(f226(a1),f2(a1)),x61231))
% 218.59/218.71 [6124]E(f822(f822(f35(a885),f822(a100,x61241)),f822(a100,x61242)),f822(a100,f822(f822(f35(a1),x61241),x61242)))+~P144(f822(f822(f226(a1),f2(a1)),x61241))
% 218.59/218.71 [6139]~P112(x61391)+E(f822(f822(f79(x61391),x61392),x61392),f822(f822(f80(x61391),f822(f822(f79(x61391),f77(x61391)),f77(x61391))),x61392))
% 218.59/218.71 [6163]E(f822(f822(f35(a1),f822(f75(a1),x61631)),f822(f75(a1),x61632)),f822(f75(a1),f822(f822(f35(a1),x61631),x61632)))+~P144(f822(f822(f276(a1),x61632),x61631))
% 218.59/218.71 [6164]E(f822(f822(f3(a1),f822(f95(a1),x61641)),f822(f95(a1),x61642)),f822(f95(a1),f822(f822(f3(a885),x61641),x61642)))+~P144(f822(f822(f226(a885),x61642),x61641))
% 218.59/218.71 [6166]E(f822(f822(f243(a1,a1),f822(f99(a1),a92)),f822(f822(f79(a1),x61661),x61662)),f49(x61661,x61662))+~P144(f822(f822(f226(a1),x61662),f2(a1)))
% 218.59/218.71 [6200]E(f171(x62001,x62002),f108(f887(x62001)))+P144(f822(f822(f318(f887(x62001)),f683(x62002,x62001)),f822(f164(f887(x62001)),x62002)))
% 218.59/218.71 [6211]E(f111(a1,f822(f122(a1),x62111),f121(x62112,f822(f822(f79(a1),x62111),f77(a1)))),f121(x62112,x62111))+P144(f822(f822(f227(a1),x62112),x62111))
% 218.59/218.71 [6265]~P144(f822(f822(f276(a885),x62651),x62652))+P144(f822(f822(f276(a885),x62651),f822(f822(f79(a885),x62652),x62651)))
% 218.59/218.71 [6287]E(f822(f822(f143(a1),x62871),f170(f822(f822(f79(a1),x62871),f77(a1)),x62872)),f170(x62871,x62872))+~P144(f822(f822(f226(a1),x62871),x62872))
% 218.59/218.71 [6329]~P144(f822(f822(f227(a885),x63292),x63291))+P144(f822(f822(f227(a885),f2(a885)),f822(f822(f3(a885),x63291),x63292)))
% 218.59/218.71 [6365]~P144(f822(f822(f227(a885),x63651),f822(a100,x63652)))+P144(f822(f822(f227(a1),f822(f95(a1),x63651)),x63652))
% 218.59/218.71 [6366]P144(f822(f822(f276(a1),x63661),x63662))+~P144(f822(f822(f276(a1),f822(f78(a1),x63661)),x63662))
% 218.59/218.71 [6395]~P92(x63951)+E(f822(f822(f96(f892(x63951,a882)),f822(f271(x63951),x63952)),f822(f822(f298(x63951),x63952),f182(f892(x63951,a882)))),f822(f290(x63951),x63952))
% 218.59/218.71 [6398]~P144(f822(f822(f227(a885),f2(a885)),x63981))+P144(f822(f822(f227(a885),f2(a885)),f822(f822(f235(a885),x63981),x63982)))
% 218.59/218.71 [6399]~P144(f822(f822(f226(a1),f2(a1)),x63991))+P144(f822(f822(f226(a1),f2(a1)),f822(f822(f235(a1),x63991),x63992)))
% 218.59/218.71 [6427]~E(f822(x64271,f2(a885)),f2(a885))+E(f822(f822(f8(a885,a885),x64271),f292(a885,f822(a107,f2(a885)),x64272)),f822(f822(f8(a885,a885),x64271),f292(a885,f2(a885),x64272)))
% 218.59/218.71 [6497]~P96(x64971)+E(f822(f822(f80(x64971),f822(f822(f79(x64971),f77(x64971)),f77(x64971))),f822(f99(x64971),x64972)),f822(f99(x64971),f822(f822(f79(a1),x64972),x64972)))
% 218.59/218.71 [6518]E(f822(f822(f298(a1),x65181),f292(a1,f822(f822(f79(a1),x65181),f77(a1)),x65182)),f292(a1,x65181,x65182))+P144(f822(f822(f227(a1),x65182),x65181))
% 218.59/218.71 [6519]P144(f822(f822(f227(a885),x65191),f822(a100,x65192)))+~P144(f822(f822(f227(a1),f822(f95(a1),x65191)),x65192))
% 218.59/218.71 [6619]P144(f822(f822(f276(a885),x66191),x66192))+~P144(f822(f822(f276(a885),x66191),f822(f822(f79(a885),x66192),x66191)))
% 218.59/218.71 [6624]E(f822(a100,f822(f822(f35(a1),f822(f99(a1),x66241)),f822(f99(a1),x66242))),f822(f822(f35(a885),f822(f99(a885),x66241)),f822(f99(a885),x66242)))+P144(f822(a187,f822(f99(a1),x66241)))
% 218.59/218.71 [6687]P144(f822(f822(f227(a885),x66871),x66872))+~P144(f822(f822(f227(a885),f2(a885)),f822(f822(f3(a885),x66872),x66871)))
% 218.59/218.71 [6732]P144(f822(f822(f227(a885),f2(a885)),x67321))+~P144(f822(f822(f227(a885),f2(a885)),f822(f822(f80(a885),x67322),x67321)))
% 218.59/218.71 [6733]P144(f822(f822(f227(a885),f2(a885)),x67331))+~P144(f822(f822(f227(a885),f2(a885)),f822(f822(f80(a885),x67331),x67332)))
% 218.59/218.71 [6751]~P144(f822(f822(f226(a1),x67511),f2(a1)))+E(f822(f822(f80(a885),f822(a100,f822(f78(a1),x67511))),f822(a100,f822(f78(a1),x67512))),f822(a100,f822(f822(f80(a1),x67511),x67512)))
% 218.59/218.71 [6813]~E(x68132,f182(f892(x68131,a882)))+P144(f822(f822(f226(f892(x68131,a882)),x68132),f822(f78(f892(x68131,a882)),x68132)))
% 218.59/218.71 [6876]~P96(x68761)+E(f822(f822(f79(x68761),f822(f822(f79(x68761),f2(x68761)),f822(f99(x68761),x68762))),f822(f99(x68761),x68762)),f822(f99(x68761),f822(f822(f79(a1),x68762),x68762)))
% 218.59/218.71 [6884]~P144(f822(f822(f276(a1),f822(f95(a1),x68841)),x68842))+P144(f822(f822(f276(a885),x68841),f822(a100,f822(f75(a1),x68842))))
% 218.59/218.71 [6934]~P144(f822(f822(f227(a1),x69341),x69342))+P144(f822(f822(f226(a1),f822(f822(f79(a1),x69341),f77(a1))),x69342))
% 218.59/218.71 [6973]P144(f822(f822(f276(a1),f822(f95(a1),x69731)),x69732))+~P144(f822(f822(f276(a885),x69731),f822(a100,f822(f75(a1),x69732))))
% 218.59/218.71 [7008]E(x70081,f2(a885))+~P144(f822(f822(f226(a1),f822(f95(a1),x70082)),f822(f78(a1),f822(f95(a1),x70081))))
% 218.59/218.71 [7009]E(x70091,f2(a885))+~P144(f822(f822(f226(a1),f822(f95(a1),x70091)),f822(f78(a1),f822(f95(a1),x70092))))
% 218.59/218.71 [7112]E(f822(f822(f243(a1,a1),f822(f99(a1),a92)),f822(f822(f79(a1),x71121),x71122)),f49(x71121,x71122))+~P144(f822(f822(f226(a1),f2(a1)),f822(f822(f79(a1),x71121),x71122)))
% 218.59/218.71 [7156]~P27(x71561,x71562)+P36(x71561,f822(f242(f892(f891(x71561,x71561),a882),f892(f891(x71561,x71561),a882)),x71562))
% 218.59/218.71 [7176]~P144(f822(f822(f226(a885),f822(a107,f2(a885))),x71761))+P144(f822(f822(f226(a885),f822(a107,f2(a885))),f822(f822(f235(a885),x71761),x71762)))
% 218.59/218.71 [7352]~P144(f822(f822(f227(a1),x73521),x73522))+P144(f822(f822(f227(a1),f822(f822(f79(a1),x73521),x73521)),f822(f822(f79(a1),x73522),x73522)))
% 218.59/218.71 [7364]~P144(f822(f822(f226(a1),x73641),x73642))+P144(f822(f822(f226(a1),f822(f822(f79(a1),x73641),x73641)),f822(f822(f79(a1),x73642),x73642)))
% 218.59/218.71 [7428]~P144(f822(f822(f227(a885),f2(a885)),x74281))+P144(f822(f822(f227(a885),f822(f822(f3(a885),x74281),f822(a107,x74282))),x74281))
% 218.59/218.71 [7464]P144(f822(f822(f226(a885),f822(a107,f2(a885))),x74641))+~P144(f822(f822(f226(a885),f822(a107,f2(a885))),f822(f822(f80(a885),x74642),x74641)))
% 218.59/218.71 [7465]P144(f822(f822(f226(a885),f822(a107,f2(a885))),x74651))+~P144(f822(f822(f226(a885),f822(a107,f2(a885))),f822(f822(f80(a885),x74651),x74652)))
% 218.59/218.71 [7469]P144(f822(f822(f226(a885),f822(f822(f156(a885),x74691),x74692)),f822(f157(a885),x74691)))+~P144(f822(f822(f227(a885),x74692),f822(f183(f887(a885)),x74691)))
% 218.59/218.71 [7509]P144(f822(f822(f227(a1),x75091),x75092))+~P144(f822(f822(f226(a1),f822(f822(f79(a1),x75091),f77(a1))),x75092))
% 218.59/218.71 [7554]P144(f822(f60(x75541),f233(f892(x75541,a882))))+~P144(f822(f60(f892(x75542,x75541)),f233(f892(f892(x75542,x75541),a882))))
% 218.59/218.71 [7555]P144(f822(f60(x75551),f233(f892(x75551,a882))))+~P144(f822(f60(f893(x75552,x75551)),f233(f892(f893(x75552,x75551),a882))))
% 218.59/218.71 [7556]P144(f822(f60(x75561),f233(f892(x75561,a882))))+~P144(f822(f60(f893(x75561,x75562)),f233(f892(f893(x75561,x75562),a882))))
% 218.59/218.71 [7597]E(x75971,f182(f892(x75972,a882)))+~P144(f822(f822(f226(f892(x75972,a882)),x75971),f822(f78(f892(x75972,a882)),x75971)))
% 218.59/218.71 [7738]E(f822(f134(f887(x77381),f887(x77381),f126(x77381),f108(x77381)),x77382),f108(x77381))+P144(f822(f822(f318(f887(x77381)),f711(x77382,x77381)),f822(f164(f887(x77381)),x77382)))
% 218.59/218.71 [7739]E(f822(f134(f887(x77391),f887(x77391),f126(x77391),f108(x77391)),x77392),f108(x77391))+P144(f822(f822(f318(f887(x77391)),f716(x77392,x77391)),f822(f164(f887(x77391)),x77392)))
% 218.59/218.71 [7981]P144(f822(f822(f227(a1),x79811),x79812))+~P144(f822(f822(f227(a1),f822(f822(f79(a1),x79811),x79811)),f822(f822(f79(a1),x79812),x79812)))
% 218.59/218.71 [7984]P144(f822(f822(f226(a1),x79841),x79842))+~P144(f822(f822(f226(a1),f822(f822(f79(a1),x79841),x79841)),f822(f822(f79(a1),x79842),x79842)))
% 218.59/218.71 [8080]~P112(x80801)+E(f822(f822(f80(x80801),f822(f822(f79(x80801),f77(x80801)),f77(x80801))),f822(f822(f8(a885,x80801),f95(x80801)),f292(a885,f77(a885),x80802))),f822(f822(f80(x80801),f822(f95(x80801),x80802)),f822(f822(f79(x80801),f822(f95(x80801),x80802)),f77(x80801))))
% 218.59/218.71 [8130]P144(f822(f822(f318(a885),x81301),x81302))+~P144(f822(f822(f318(a1),f822(f95(a1),x81301)),f822(f299(a885,a1,f95(a1)),x81302)))
% 218.59/218.71 [8288]~P144(f822(f60(x82881),x82882))+E(f822(f299(a885,x82881,f534(x82882,x82881)),f822(f253(a885),f822(f822(f9(a885,a885,a882),f227(a885)),f535(x82882,x82881)))),x82882)
% 218.59/218.71 [8561]P55(x85611,x85612)+P144(f822(f822(f318(f891(x85611,x85611)),f822(f822(f243(x85611,x85611),f435(x85612,x85611)),f435(x85612,x85611))),x85612))
% 218.59/218.71 [8562]P37(x85621,x85622)+P144(f822(f822(f318(f891(x85621,x85621)),f822(f822(f243(x85621,x85621),f805(x85622,x85621)),f807(x85622,x85621))),x85622))
% 218.59/218.71 [8563]P37(x85631,x85632)+P144(f822(f822(f318(f891(x85631,x85631)),f822(f822(f243(x85631,x85631),f807(x85632,x85631)),f808(x85632,x85631))),x85632))
% 218.59/218.71 [8564]P38(x85641,x85642)+P144(f822(f822(f318(f891(x85641,x85641)),f822(f822(f243(x85641,x85641),f721(x85642,x85641)),f720(x85642,x85641))),x85642))
% 218.59/218.71 [8565]P38(x85651,x85652)+P144(f822(f822(f318(f891(x85651,x85651)),f822(f822(f243(x85651,x85651),f720(x85652,x85651)),f721(x85652,x85651))),x85652))
% 218.59/218.71 [8566]P53(x85661,x85662)+P144(f822(f822(f318(f891(x85661,x85661)),f822(f822(f243(x85661,x85661),f814(x85662,x85661)),f815(x85662,x85661))),x85662))
% 218.59/218.71 [8702]~P96(x87021)+E(f822(f822(f3(x87021),f77(x87021)),f822(f99(x87021),x87022)),f822(f99(x87021),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f78(a1),x87022))))
% 218.59/218.71 [8811]~P144(f822(f822(f227(f892(a885,a882)),x88111),x88112))+P144(f822(f822(f227(f892(a1,a882)),f822(f299(a885,a1,f95(a1)),x88111)),f822(f299(a885,a1,f95(a1)),x88112)))
% 218.59/218.71 [8843]~P144(f822(f822(f227(a1),x88431),x88432))+P144(f822(f822(f227(a1),f822(f822(f3(a1),f822(f822(f79(a1),x88431),x88431)),a92)),f822(f822(f79(a1),x88432),x88432)))
% 218.59/218.71 [8845]~P144(f822(f822(f227(a1),x88451),x88452))+P144(f822(f822(f226(a1),f822(f822(f3(a1),f822(f822(f79(a1),x88451),x88451)),a92)),f822(f822(f79(a1),x88452),x88452)))
% 218.59/218.71 [8914]~P144(f822(f822(f318(a885),x89141),f822(f164(a885),x89142)))+P144(f822(f822(f226(a885),x89141),f822(f134(a885,a885,f79(a885),f2(a885)),x89142)))
% 218.59/218.71 [9001]P46(x90011,x90012)+~P144(f822(f822(f318(f891(x90011,x90011)),f822(f822(f243(x90011,x90011),f384(x90012,x90011)),f384(x90012,x90011))),x90012))
% 218.59/218.71 [9002]P37(x90021,x90022)+~P144(f822(f822(f318(f891(x90021,x90021)),f822(f822(f243(x90021,x90021),f805(x90022,x90021)),f808(x90022,x90021))),x90022))
% 218.59/218.71 [9003]P53(x90031,x90032)+~P144(f822(f822(f318(f891(x90031,x90031)),f822(f822(f243(x90031,x90031),f815(x90032,x90031)),f814(x90032,x90031))),x90032))
% 218.59/218.71 [9140]~P144(f822(f822(f227(f892(a1,a882)),f822(f299(a885,a1,f95(a1)),x91401)),f822(f299(a885,a1,f95(a1)),x91402)))+P144(f822(f822(f227(f892(a885,a882)),x91401),x91402))
% 218.59/218.71 [9141]~P144(f822(f822(f226(f892(a1,a882)),f822(f299(a885,a1,f95(a1)),x91411)),f822(f299(a885,a1,f95(a1)),x91412)))+P144(f822(f822(f226(f892(a885,a882)),x91411),x91412))
% 218.59/218.71 [9236]P144(f822(f822(f227(a1),x92361),x92362))+~P144(f822(f822(f227(a1),f822(f822(f3(a1),f822(f822(f79(a1),x92361),x92361)),a92)),f822(f822(f79(a1),x92362),x92362)))
% 218.59/218.71 [9238]P144(f822(f822(f227(a1),x92381),x92382))+~P144(f822(f822(f226(a1),f822(f822(f3(a1),f822(f822(f79(a1),x92381),x92381)),a92)),f822(f822(f79(a1),x92382),x92382)))
% 218.59/218.71 [10123]~P106(x101231)+E(f111(f887(x101231),f822(f122(f887(x101231)),f108(x101231)),f822(f822(f822(f90(f886(f887(x101231))),f822(f822(f227(a1),f2(a1)),x101232)),f822(f113(f891(x101231,f887(x101231)),f887(x101231),f123(x101231,f887(x101231),f124(x101231,f822(f822(f3(a1),x101232),f77(a1))),f124(f887(x101231),f822(f822(f3(a1),x101232),f77(a1))))),f822(f248(x101231,f887(x101231),f886(f887(x101231))),f822(f822(f10(f892(f887(x101231),f887(x101231)),f892(f887(x101231),f886(f887(x101231))),x101231),f822(f10(f887(x101231),f886(f887(x101231)),f887(x101231)),f122(f887(x101231)))),f143(x101231))))),f110(f887(x101231)))),f124(f887(x101231),x101232))
% 218.59/218.71 [10144]~P144(f822(f60(x101441),x101442))+E(f822(f183(f887(x101441)),f89(f887(x101441),f822(f822(f20(f887(x101441),a882,a882),f822(f822(f10(a882,f892(a882,a882),f887(x101441)),a315),f822(f822(f9(f887(x101441),f892(x101441,a882),a882),f822(f822(f10(f892(x101441,a882),f892(f892(x101441,a882),a882),f887(x101441)),a314),f164(x101441))),x101442))),f129(x101441)))),f208(x101441,x101442))
% 218.59/218.71 [6084]E(f822(f822(f79(a885),f822(f822(f3(a885),x60841),x60842)),x60842),x60841)+~P144(f822(f822(f226(a885),x60842),x60841))
% 218.59/218.71 [6159]E(f822(f822(f35(a885),f822(f822(f80(a885),x61591),x61592)),x61592),x61591)+~P144(f822(f822(f227(a885),f2(a885)),x61592))
% 218.59/218.71 [6160]E(f822(f822(f35(a885),f822(f822(f80(a885),x61601),x61602)),x61601),x61602)+~P144(f822(f822(f227(a885),f2(a885)),x61601))
% 218.59/218.71 [6165]~P72(x61651)+E(f822(f822(f8(a885,x61651),f822(f156(x61651),x61652)),f822(f291(a885,f2(a885)),f822(f183(f887(x61651)),x61652))),f822(f157(x61651),x61652))
% 218.59/218.71 [6279]E(f44(a885,f822(a107,f822(f822(f80(a885),x62791),x62792)),x62791),f77(a885))+~P144(f822(f822(f227(a885),f77(a885)),x62791))
% 218.59/218.71 [6285]E(f822(a107,f822(f822(f79(a885),f822(f99(a885),x62851)),x62852)),f822(f822(f79(a885),f77(a885)),x62852))+~P144(f822(a187,f822(f99(a1),x62851)))
% 218.59/218.71 [6314]E(f822(a100,f822(f822(f235(a1),f822(f99(a1),x63141)),x63142)),f822(f822(f235(a885),f822(f99(a885),x63141)),x63142))+P144(f822(a187,f822(f99(a1),x63141)))
% 218.59/218.71 [6573]E(f822(f822(f3(a885),x65731),f822(f99(a885),f822(f822(f79(a1),x65732),a92))),f822(f822(f3(a885),f822(a107,x65731)),f822(f99(a885),x65732)))+~P144(f822(f822(f227(a1),a82),x65732))
% 218.59/218.71 [6656]E(x66561,f2(a885))+E(f822(a107,f822(f822(f79(a885),f822(f822(f3(a885),x66561),f77(a885))),x66562)),f822(f822(f79(a885),x66561),x66562))
% 218.59/218.71 [6702]E(x67021,f2(a1))+P144(f822(f822(f227(a1),f2(a1)),f822(f822(f235(a1),f822(f75(a1),x67021)),x67022)))
% 218.59/218.71 [6717]~E(x67172,f2(a885))+P144(f822(f822(f227(a1),f2(a1)),f822(f822(f235(a1),f822(f75(a1),x67171)),x67172)))
% 218.59/218.71 [6755]E(x67551,f2(a885))+E(f822(f822(f79(a885),x67552),f822(f822(f80(a885),f822(f822(f3(a885),x67551),f77(a885))),x67552)),f822(f822(f80(a885),x67551),x67552))
% 218.59/218.71 [6806]~P144(f822(f822(f226(a1),x68061),x68062))+P144(f822(f822(f227(a1),f822(f822(f79(a1),x68061),a92)),x68062))
% 218.59/218.71 [6938]E(f822(f822(f143(a885),x69381),f131(a885,f822(f291(a885,f822(a107,x69381)),x69382))),f131(a885,f822(f291(a885,x69381),x69382)))+~P144(f822(f822(f227(a885),x69381),x69382))
% 218.59/218.71 [7106]~P144(f822(f822(f276(a1),x71061),f822(f95(a1),x71062)))+P144(f822(f822(f276(a885),f822(a100,f822(f75(a1),x71061))),x71062))
% 218.59/218.71 [7147]E(x71471,x71472)+~E(f822(f822(f3(a1),f822(f822(f79(a1),x71471),x71471)),a92),f822(f822(f3(a1),f822(f822(f79(a1),x71472),x71472)),a92))
% 218.59/218.71 [7150]E(x71501,f108(x71502))+E(f257(x71502,f822(f822(f146(x71502,f891(a94,x71502)),f822(f243(a94,x71502),f77(a94))),x71501)),f264(x71502,x71501))
% 218.59/218.71 [7394]P144(f822(f822(f226(a1),x73941),x73942))+~P144(f822(f822(f227(a1),f822(f822(f79(a1),x73941),a92)),x73942))
% 218.59/218.71 [7528]P144(f822(f822(f276(a1),x75281),f822(f95(a1),x75282)))+~P144(f822(f822(f276(a885),f822(a100,f822(f75(a1),x75281))),x75282))
% 218.59/218.71 [7879]~P144(f822(f822(f227(a885),x78791),x78792))+P144(f822(f822(f318(f891(a885,a885)),f822(f822(f243(a885,a885),x78791),x78792)),a231))
% 218.59/218.71 [8107]~P144(f822(f822(f227(a94),f2(a94)),x81071))+P144(f822(f822(f227(a94),f822(f242(a94,f891(a94,a94)),f822(f258(x81071),x81072))),x81071))
% 218.59/218.71 [8369]~P37(x83691,x83692)+P37(x83691,f822(f822(f96(f892(f891(x83691,x83691),a882)),x83692),f296(x83691,f182(f892(f891(x83691,x83691),a882)))))
% 218.59/218.71 [8370]~P38(x83701,x83702)+P38(x83701,f822(f822(f96(f892(f891(x83701,x83701),a882)),x83702),f296(x83701,f182(f892(f891(x83701,x83701),a882)))))
% 218.59/218.71 [8415]~P84(x84151)+P144(f822(f822(f226(x84151),f822(f75(x84151),f822(f157(x84151),x84152))),f822(f157(x84151),f822(f822(f146(x84151,x84151),f75(x84151)),x84152))))
% 218.59/218.71 [8440]P144(f822(f822(f227(a885),x84401),x84402))+~P144(f822(f822(f318(f891(a885,a885)),f822(f822(f243(a885,a885),x84401),x84402)),a231))
% 218.59/218.71 [8585]E(f822(f822(f243(x85851,x85851),f646(x85852,x85851)),f646(x85852,x85851)),x85852)+~P144(f822(f822(f318(f891(x85851,x85851)),x85852),f296(x85851,f182(f892(f891(x85851,x85851),a882)))))
% 218.59/218.71 [8629]E(f822(f291(a885,x86291),f822(f822(f79(a885),x86291),f822(f34(a885),x86292))),x86292)+~P144(f822(f822(f226(f892(a885,a882)),x86292),f822(f291(a885,x86291),f822(f822(f79(a885),x86291),f822(f34(a885),x86292)))))
% 218.59/218.71 [8836]P38(x88361,x88362)+~P38(x88361,f822(f822(f96(f892(f891(x88361,x88361),a882)),x88362),f296(x88361,f182(f892(f891(x88361,x88361),a882)))))
% 218.59/218.71 [8958]E(f822(f822(f35(a1),f822(f99(a1),f822(f822(f3(a1),f822(f822(f79(a1),x89581),x89581)),a92))),f822(f99(a1),f822(f822(f79(a1),x89582),x89582))),f822(f822(f35(a1),f822(f99(a1),x89581)),f822(f99(a1),x89582)))+~P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x89582)))
% 218.59/218.71 [9044]~P37(x90441,x90442)+P144(f822(f822(f226(f892(f891(x90441,x90441),a882)),f822(f822(f278(x90441,x90441,x90441),x90442),x90442)),x90442))
% 218.59/218.71 [9071]E(f169(f887(x90711),f822(f822(f10(a882,a882,f887(x90711)),a311),f822(f822(f9(f887(x90711),f887(x90711),a882),a314),f108(x90711))),x90712),f171(x90711,f171(x90711,x90712)))+~P15(a885,f822(f160(a885),f822(f822(f146(f887(x90711),a885),f183(f887(x90711))),x90712)))
% 218.59/218.71 [9074]E(f822(f822(f35(a1),f822(f99(a1),f822(f822(f3(a1),f822(f822(f79(a1),x90741),x90741)),a92))),f822(f99(a1),f822(f822(f79(a1),x90742),x90742))),f822(f822(f35(a1),f822(f822(f79(a1),f822(f99(a1),x90741)),f77(a1))),f822(f99(a1),x90742)))+P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x90742)))
% 218.59/218.71 [9917]P144(f822(a187,x99172))+E(f822(f822(f85(a1,a885),f822(f822(f3(a1),x99171),x99172)),f822(f822(f20(a1,a885,a885),f822(f822(f9(a1,a885,f892(a885,a885)),f822(f822(f10(a882,f892(a885,f892(a885,a885)),a1),f90(a885)),a187)),f2(a885))),a100)),f822(f822(f3(a885),f822(a100,x99171)),f822(a100,x99172)))
% 218.59/218.71 [9924]E(f822(f822(f85(a1,a885),f822(f99(a1),f822(f822(f79(a1),x99241),f822(f78(a1),x99242)))),f822(f822(f20(a1,a885,a885),f822(f822(f9(a1,a885,f892(a885,a885)),f822(f822(f10(a882,f892(a885,f892(a885,a885)),a1),f90(a885)),a187)),f2(a885))),a100)),f822(f822(f3(a885),f822(f99(a885),x99241)),f822(f99(a885),x99242)))+P144(f822(f822(f227(a1),x99242),a82))
% 218.59/218.71 [9925]~P27(x99251,x99252)+P144(f822(f822(f226(f892(f891(x99251,x99251),a882)),f822(f822(f278(x99251,x99251,x99251),f822(f242(f892(f891(x99251,x99251),a882),f892(f891(x99251,x99251),a882)),x99252)),f822(f247(f892(f891(x99251,x99251),a882),f892(f891(x99251,x99251),a882)),x99252))),f822(f242(f892(f891(x99251,x99251),a882),f892(f891(x99251,x99251),a882)),x99252)))
% 218.59/218.71 [9980]~E(f822(f34(a885),f822(f253(a885),f822(f822(f20(a885,a882,a882),f822(f822(f10(a882,f892(a882,a882),a885),a315),f822(f822(f9(a885,f892(a885,a882),a882),f318(a885)),x99801))),f822(f822(f9(a885,a885,a882),f227(a885)),f822(a107,x99802))))),f2(a885))+~P144(f822(f822(f318(a885),f2(a885)),x99801))
% 218.59/218.71 [9991]E(f288(a885,f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x99911,x99912),f182(f892(a885,a882)))+~P144(f822(f822(f276(a885),x99912),x99911))
% 218.59/218.71 [9999]E(f289(a885,f276(a885),f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x99991,x99992),f182(f892(a885,a882)))+P144(f822(f822(f276(a885),x99991),x99992))
% 218.59/218.71 [10000]E(f286(a885,f276(a885),f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x100001,x100002),f182(f892(a885,a882)))+P144(f822(f822(f276(a885),x100001),x100002))
% 218.59/218.71 [10004]E(f289(a885,f276(a885),f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x100041,x100042),f182(f892(a885,a882)))+~P144(f822(f822(f276(a885),x100042),x100041))
% 218.59/218.71 [10006]E(f286(a885,f276(a885),f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x100061,x100062),f182(f892(a885,a882)))+~P144(f822(f822(f276(a885),x100062),x100061))
% 218.59/218.71 [10049]E(f44(a1,f822(f99(a1),f822(f822(f3(a1),f822(f822(f79(a1),x100491),x100491)),a92)),f822(f99(a1),f822(f822(f79(a1),x100492),x100492))),f822(f822(f79(a1),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f44(a1,f822(f99(a1),x100491),f822(f99(a1),x100492)))),f77(a1)))+~P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x100492)))
% 218.59/218.71 [10058]E(f44(a1,f822(f99(a1),f822(f822(f3(a1),f822(f822(f79(a1),x100581),x100581)),a92)),f822(f99(a1),f822(f822(f79(a1),x100582),x100582))),f822(f822(f3(a1),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f44(a1,f822(f822(f79(a1),f822(f99(a1),x100581)),f77(a1)),f822(f99(a1),x100582)))),f77(a1)))+P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x100582)))
% 218.59/218.71 [10114]~P7(x101141)+E(f36(x101141,f822(f253(x101141),f822(f822(f10(f892(x101141,a882),a882,x101141),f87(x101141)),f822(f822(f10(f892(x101141,a882),f892(x101141,a882),x101141),f822(f20(x101141,a882,a882),f822(f822(f10(a882,f892(a882,a882),x101141),a319),f822(f822(f9(x101141,f892(x101141,a882),a882),f318(x101141)),x101142)))),f226(x101141))))),f37(x101141,x101142))
% 218.59/218.71 [10137]~P36(x101371,x101372)+P61(x101371,f822(f822(f9(x101371,f892(f891(x101371,x101371),a882),f892(x101371,a882)),f822(f822(f10(f892(x101371,f892(f892(f891(x101371,x101371),a882),a882)),f892(f892(f891(x101371,x101371),a882),f892(x101371,a882)),x101371),f9(x101371,f892(f891(x101371,x101371),a882),a882)),f822(f822(f10(f892(x101371,f891(x101371,x101371)),f892(x101371,f892(f892(f891(x101371,x101371),a882),a882)),x101371),f822(f10(f891(x101371,x101371),f892(f892(f891(x101371,x101371),a882),a882),x101371),f318(f891(x101371,x101371)))),f243(x101371,x101371)))),x101372))
% 218.59/218.71 [10138]~P10(x101381,f233(f892(x101381,a882)),x101382)+P9(x101381,f822(f822(f9(x101381,f892(f891(x101381,x101381),a882),f892(x101381,a882)),f822(f822(f10(f892(x101381,f892(f892(f891(x101381,x101381),a882),a882)),f892(f892(f891(x101381,x101381),a882),f892(x101381,a882)),x101381),f9(x101381,f892(f891(x101381,x101381),a882),a882)),f822(f822(f10(f892(x101381,f891(x101381,x101381)),f892(x101381,f892(f892(f891(x101381,x101381),a882),a882)),x101381),f822(f10(f891(x101381,x101381),f892(f892(f891(x101381,x101381),a882),a882),x101381),f318(f891(x101381,x101381)))),f243(x101381,x101381)))),x101382))
% 218.59/218.71 [10175]P36(x101751,x101752)+~P61(x101751,f822(f822(f9(x101751,f892(f891(x101751,x101751),a882),f892(x101751,a882)),f822(f822(f10(f892(x101751,f892(f892(f891(x101751,x101751),a882),a882)),f892(f892(f891(x101751,x101751),a882),f892(x101751,a882)),x101751),f9(x101751,f892(f891(x101751,x101751),a882),a882)),f822(f822(f10(f892(x101751,f891(x101751,x101751)),f892(x101751,f892(f892(f891(x101751,x101751),a882),a882)),x101751),f822(f10(f891(x101751,x101751),f892(f892(f891(x101751,x101751),a882),a882),x101751),f318(f891(x101751,x101751)))),f243(x101751,x101751)))),x101752))
% 218.59/218.71 [10176]P10(x101761,f233(f892(x101761,a882)),x101762)+~P9(x101761,f822(f822(f9(x101761,f892(f891(x101761,x101761),a882),f892(x101761,a882)),f822(f822(f10(f892(x101761,f892(f892(f891(x101761,x101761),a882),a882)),f892(f892(f891(x101761,x101761),a882),f892(x101761,a882)),x101761),f9(x101761,f892(f891(x101761,x101761),a882),a882)),f822(f822(f10(f892(x101761,f891(x101761,x101761)),f892(x101761,f892(f892(f891(x101761,x101761),a882),a882)),x101761),f822(f10(f891(x101761,x101761),f892(f892(f891(x101761,x101761),a882),a882),x101761),f318(f891(x101761,x101761)))),f243(x101761,x101761)))),x101762))
% 218.59/218.71 [7338]E(f822(f822(f79(a885),f822(f99(a885),f822(f822(f3(a1),x73381),a92))),x73382),f822(a107,f822(f822(f79(a885),f822(f99(a885),x73381)),x73382)))+P144(f822(a187,f822(f99(a1),x73381)))
% 218.59/218.71 [7797]~P96(x77971)+E(f822(f822(f79(x77971),f822(f822(f79(x77971),f77(x77971)),f822(f99(x77971),x77972))),f822(f99(x77971),x77972)),f822(f99(x77971),f822(f822(f3(a1),f822(f822(f79(a1),x77972),x77972)),a92)))
% 218.59/218.71 [8442]~P144(f822(f822(f226(a1),x84421),x84422))+P144(f822(f822(f227(a1),f822(f822(f79(a1),x84421),x84421)),f822(f822(f3(a1),f822(f822(f79(a1),x84422),x84422)),a92)))
% 218.59/218.71 [8444]~P144(f822(f822(f226(a1),x84441),x84442))+P144(f822(f822(f226(a1),f822(f822(f79(a1),x84441),x84441)),f822(f822(f3(a1),f822(f822(f79(a1),x84442),x84442)),a92)))
% 218.59/218.71 [8847]P144(f822(f822(f226(a1),x88471),x88472))+~P144(f822(f822(f227(a1),f822(f822(f79(a1),x88471),x88471)),f822(f822(f3(a1),f822(f822(f79(a1),x88472),x88472)),a92)))
% 218.59/218.71 [8849]P144(f822(f822(f226(a1),x88491),x88492))+~P144(f822(f822(f226(a1),f822(f822(f79(a1),x88491),x88491)),f822(f822(f3(a1),f822(f822(f79(a1),x88492),x88492)),a92)))
% 218.59/218.71 [9129]~P144(f822(f822(f227(a1),x91291),x91292))+P144(f822(f822(f227(a1),f822(f822(f3(a1),f822(f822(f79(a1),x91291),x91291)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),x91292),x91292)),a92)))
% 218.59/218.71 [9131]~P144(f822(f822(f226(a1),x91311),x91312))+P144(f822(f822(f226(a1),f822(f822(f3(a1),f822(f822(f79(a1),x91311),x91311)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),x91312),x91312)),a92)))
% 218.59/218.71 [9404]P144(f822(f822(f227(a1),x94041),x94042))+~P144(f822(f822(f227(a1),f822(f822(f3(a1),f822(f822(f79(a1),x94041),x94041)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),x94042),x94042)),a92)))
% 218.59/218.71 [9406]P144(f822(f822(f226(a1),x94061),x94062))+~P144(f822(f822(f226(a1),f822(f822(f3(a1),f822(f822(f79(a1),x94061),x94061)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),x94062),x94062)),a92)))
% 218.59/218.71 [9438]~P144(f822(f60(x94381),x94382))+P144(f822(f60(f892(x94381,a882)),f822(f253(f892(x94381,a882)),f822(f822(f9(f892(x94381,a882),f892(x94381,a882),a882),f226(f892(x94381,a882))),x94382))))
% 218.59/218.71 [9488]~E(f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),x94881),f182(f892(f891(a885,a885),a882)))),f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),x94882),f182(f892(f891(a885,a885),a882)))))+P144(f822(f822(f318(f891(f891(a885,a885),f891(a885,a885))),f822(f822(f243(f891(a885,a885),f891(a885,a885)),x94881),x94882)),a104))
% 218.59/218.71 [9578]E(f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),x95781),f182(f892(f891(a885,a885),a882)))),f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),x95782),f182(f892(f891(a885,a885),a882)))))+~P144(f822(f822(f318(f891(f891(a885,a885),f891(a885,a885))),f822(f822(f243(f891(a885,a885),f891(a885,a885)),x95781),x95782)),a104))
% 218.59/218.71 [9611]P144(f822(f822(f226(a1),f2(a1)),f654(x96111,x96112)))+E(f822(f253(a1),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f226(a1),f2(a1)))),x96111)),f822(f253(a1),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f226(a1),f2(a1)))),x96112)))
% 218.59/218.71 [10122]~P7(x101221)+E(f37(x101221,f822(f253(x101221),f822(f822(f10(f892(x101221,a882),a882,x101221),f87(x101221)),f822(f822(f10(f892(x101221,a882),f892(x101221,a882),x101221),f822(f20(x101221,a882,a882),f822(f822(f10(a882,f892(a882,a882),x101221),a319),f822(f822(f9(x101221,f892(x101221,a882),a882),f318(x101221)),x101222)))),f822(f9(x101221,x101221,a882),f226(x101221)))))),f36(x101221,x101222))
% 218.59/218.71 [10143]P144(f822(f822(f318(a885),f2(a885)),x101431))+E(f822(f34(a885),f822(f253(a885),f822(f822(f20(a885,a882,a882),f822(f822(f10(a882,f892(a882,a882),a885),a315),f822(f822(f9(a885,f892(a885,a882),a882),f822(f822(f10(a885,f892(f892(a885,a882),a882),a885),f318(a885)),a107)),x101431))),f822(f822(f9(a885,a885,a882),f227(a885)),x101432)))),f822(f34(a885),f822(f253(a885),f822(f822(f20(a885,a882,a882),f822(f822(f10(a882,f892(a882,a882),a885),a315),f822(f822(f9(a885,f892(a885,a882),a882),f318(a885)),x101431))),f822(f822(f9(a885,a885,a882),f227(a885)),f822(a107,x101432))))))
% 218.59/218.71 [10192]P144(f822(f822(f276(a885),x101921),x101922))+~P144(f822(f822(f318(a885),x101922),f284(a885,f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x101921)))
% 218.59/218.71 [10193]P144(f822(f822(f276(a885),x101931),x101932))+~P144(f822(f822(f318(a885),x101931),f287(a885,f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x101932)))
% 218.59/218.71 [10194]~P144(f822(f822(f276(a885),x101941),x101942))+~P144(f822(f822(f318(a885),x101942),f287(a885,f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x101941)))
% 218.59/218.71 [10195]~P144(f822(f822(f276(a885),x101951),x101952))+~P144(f822(f822(f318(a885),x101951),f284(a885,f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x101952)))
% 218.59/218.71 [7664]~P96(x76641)+E(f822(f822(f80(x76641),x76642),f822(f99(x76641),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),x76642)
% 218.59/218.71 [7932]~P96(x79321)+E(f822(f822(f79(x79321),f822(f99(x79321),x79322)),f77(x79321)),f822(f99(x79321),f822(f822(f79(a1),x79322),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))
% 218.59/218.71 [8078]P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x80782)))+E(f822(f822(f235(a1),x80781),f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),x80782),x80782)),a92))),f77(a1))
% 218.59/218.71 [9464]~P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x94642)))+E(f822(f822(f235(a1),x94641),f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),x94642),x94642)),a92))),f822(f822(f85(a1,a1),f822(f822(f235(a1),x94641),f822(f99(a885),x94642))),f822(f822(f20(a1,a1,a1),f822(f822(f10(a1,f892(a1,a1),a1),f80(a1)),f822(f80(a1),x94641))),f7(a1))))
% 218.59/218.71 [9838]~P144(f822(f822(f226(a885),f665(x98382,x98381)),f822(x98381,f665(x98382,x98381))))+P144(f822(f60(a885),f822(f253(a885),f822(f822(f9(a885,a885,a882),f822(f822(f10(a885,f892(a885,a882),a885),f226(a885)),x98381)),x98382))))
% 218.59/218.71 [9970]~P144(f822(f822(f227(a885),f822(f99(a885),x99701)),f822(a107,x99702)))+P144(f822(f822(f85(a1,a882),f822(f99(a1),f822(f822(f79(a1),x99701),a92))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a319),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f9(a1,a885,a882),f822(f822(f10(a885,f892(a885,a882),a1),f227(a885)),a100)),x99702))))
% 218.59/218.71 [9971]~P144(f822(f822(f226(a885),f822(f99(a885),x99711)),f822(a107,x99712)))+P144(f822(f822(f85(a1,a882),f822(f99(a1),f822(f822(f79(a1),x99711),a92))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a319),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f9(a1,a885,a882),f822(f822(f10(a885,f892(a885,a882),a1),f226(a885)),a100)),x99712))))
% 218.59/218.71 [10033]P144(f822(f822(f227(a885),f822(f99(a885),x100331)),f822(a107,x100332)))+~P144(f822(f822(f85(a1,a882),f822(f99(a1),f822(f822(f79(a1),x100331),a92))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a319),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f9(a1,a885,a882),f822(f822(f10(a885,f892(a885,a882),a1),f227(a885)),a100)),x100332))))
% 218.59/218.71 [10034]P144(f822(f822(f226(a885),f822(f99(a885),x100341)),f822(a107,x100342)))+~P144(f822(f822(f85(a1,a882),f822(f99(a1),f822(f822(f79(a1),x100341),a92))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a319),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f9(a1,a885,a882),f822(f822(f10(a885,f892(a885,a882),a1),f226(a885)),a100)),x100342))))
% 218.59/218.71 [10064]~P144(f822(f822(f227(a885),f822(a107,x100642)),f822(f99(a885),x100641)))+P144(f822(f822(f85(a1,a882),f822(f99(a1),f822(f822(f79(a1),x100641),a92))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a319),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f10(a885,a882,a1),f822(f227(a885),x100642)),a100)))))
% 218.59/218.71 [10065]~P144(f822(f822(f226(a885),f822(a107,x100652)),f822(f99(a885),x100651)))+P144(f822(f822(f85(a1,a882),f822(f99(a1),f822(f822(f79(a1),x100651),a92))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a319),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f10(a885,a882,a1),f822(f226(a885),x100652)),a100)))))
% 218.59/218.71 [10112]P144(f822(f822(f227(a885),f822(a107,x101121)),f822(f99(a885),x101122)))+~P144(f822(f822(f85(a1,a882),f822(f99(a1),f822(f822(f79(a1),x101122),a92))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a319),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f10(a885,a882,a1),f822(f227(a885),x101121)),a100)))))
% 218.59/218.71 [10113]P144(f822(f822(f226(a885),f822(a107,x101131)),f822(f99(a885),x101132)))+~P144(f822(f822(f85(a1,a882),f822(f99(a1),f822(f822(f79(a1),x101132),a92))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a319),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f10(a885,a882,a1),f822(f226(a885),x101131)),a100)))))
% 218.59/218.71 [10184]~P144(f822(f822(f318(a885),f2(a885)),x101841))+E(f822(a107,f822(f34(a885),f822(f253(a885),f822(f822(f20(a885,a882,a882),f822(f822(f10(a882,f892(a882,a882),a885),a315),f822(f822(f9(a885,f892(a885,a882),a882),f822(f822(f10(a885,f892(f892(a885,a882),a882),a885),f318(a885)),a107)),x101841))),f822(f822(f9(a885,a885,a882),f227(a885)),x101842))))),f822(f34(a885),f822(f253(a885),f822(f822(f20(a885,a882,a882),f822(f822(f10(a882,f892(a882,a882),a885),a315),f822(f822(f9(a885,f892(a885,a882),a882),f318(a885)),x101841))),f822(f822(f9(a885,a885,a882),f227(a885)),f822(a107,x101842))))))
% 218.59/218.71 [8612]~P96(x86121)+E(f822(f822(f80(x86121),f822(f99(x86121),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),x86122),x86122)
% 218.59/218.71 [8671]~P96(x86711)+E(f822(f822(f79(x86711),f77(x86711)),f822(f99(x86711),x86712)),f822(f99(x86711),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),x86712)))
% 218.59/218.71 [8727]~P96(x87271)+E(f822(f822(f3(x87271),f822(f99(x87271),x87272)),f77(x87271)),f822(f99(x87271),f822(f822(f79(a1),x87272),f822(f78(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))
% 218.59/218.71 [8864]~P144(f822(f822(f227(a885),f822(f99(a885),a82)),x88642))+E(f822(f822(f3(a885),x88641),f822(f822(f3(a885),x88642),f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(f822(f3(a885),f822(a107,x88641)),x88642))
% 218.59/218.71 [9506]~P112(x95061)+E(f822(f822(f80(x95061),x95062),x95062),f822(f822(f235(x95061),x95062),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))
% 218.59/218.71 [9507]~P82(x95071)+E(f822(f822(f235(x95071),x95072),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(f822(f80(x95071),x95072),x95072))
% 218.59/218.71 [9509]~P96(x95091)+E(f822(f822(f80(x95091),x95092),f822(f99(x95091),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(f822(f79(x95091),x95092),x95092))
% 218.59/218.71 [9752]~P127(x97521)+E(f822(f822(f235(x97521),f822(f78(x97521),x97522)),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(f822(f235(x97521),x97522),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))
% 218.59/218.71 [9753]~P111(x97531)+E(f822(f822(f235(x97531),f822(f75(x97531),x97532)),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(f822(f235(x97531),x97532),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))
% 218.59/218.71 [9749]~P96(x97491)+E(f822(f822(f80(x97491),f822(f99(x97491),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x97492),f822(f822(f79(x97491),x97492),x97492))
% 218.59/218.71 [9873]~P111(x98731)+E(f822(f75(x98731),f822(f822(f235(x98731),x98732),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x98731),x98732),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))
% 218.59/218.71 [9932]~P111(x99321)+P144(f822(f822(f226(x99321),f2(x99321)),f822(f822(f235(x99321),x99322),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))))
% 218.59/218.71 [10103]~E(f822(a107,x101032),f822(f99(a885),x101031))+P144(f822(f822(f85(a1,a882),f822(f99(a1),f822(f822(f79(a1),x101031),a92))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a319),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f9(a1,a885,a882),f822(f822(f10(a885,f892(a885,a882),a1),a314),a100)),x101032)))))
% 218.59/218.71 [10104]~E(f822(f99(a885),x101041),f822(a107,x101042))+P144(f822(f822(f85(a1,a882),f822(f99(a1),f822(f822(f79(a1),x101041),a92))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a319),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f9(a1,a885,a882),f822(f822(f10(a885,f892(a885,a882),a1),a314),a100)),x101042)))))
% 218.59/218.71 [10146]E(f822(a107,x101461),f822(f99(a885),x101462))+~P144(f822(f822(f85(a1,a882),f822(f99(a1),f822(f822(f79(a1),x101462),a92))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a319),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f9(a1,a885,a882),f822(f822(f10(a885,f892(a885,a882),a1),a314),a100)),x101461)))))
% 218.59/218.71 [10147]E(f822(f99(a885),x101471),f822(a107,x101472))+~P144(f822(f822(f85(a1,a882),f822(f99(a1),f822(f822(f79(a1),x101471),a92))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a319),f822(f822(f10(a882,a882,a1),a311),a187))),f822(f822(f9(a1,a885,a882),f822(f822(f10(a885,f892(a885,a882),a1),a314),a100)),x101472)))))
% 218.59/218.71 [10185]~P17(x101851,x101852)+P144(f822(f822(f318(f892(x101851,a882)),f820(x101852,x101851)),f822(f822(f10(f892(x101851,a882),a882,f892(x101851,a882)),f86(x101851)),f822(f822(f10(f892(x101851,a882),f892(x101851,a882),f892(x101851,a882)),f822(f20(x101851,a882,a882),f822(f822(f10(a882,f892(a882,a882),x101851),a315),f822(f822(f20(x101851,x101851,a882),x101852),f7(x101851))))),f822(f822(f9(f892(x101851,a882),f892(x101851,f892(x101851,a882)),f892(x101851,a882)),f822(f822(f10(f892(f892(x101851,a882),a882),f892(f892(x101851,f892(x101851,a882)),f892(x101851,a882)),f892(x101851,a882)),f10(f892(x101851,a882),a882,x101851)),a314)),x101852)))))
% 218.59/218.71 [9930]~P96(x99301)+E(f822(f822(f235(x99301),f822(f99(x99301),a92)),f822(f822(f80(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x99302)),f77(x99301))
% 218.59/218.71 [9931]~P127(x99311)+E(f822(f822(f235(x99311),f822(f78(x99311),f77(x99311))),f822(f822(f80(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x99312)),f77(x99311))
% 218.59/218.71 [9934]~P82(x99341)+E(f822(f822(f235(x99341),x99342),f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),a92))),f822(f822(f80(x99341),f822(f822(f80(x99341),x99342),x99342)),x99342))
% 218.59/218.71 [10126]~P144(f822(f822(f226(a1),f2(a1)),x101262))+E(f44(a1,f822(f822(f79(a1),f77(a1)),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x101261)),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x101262)),f822(f822(f79(a1),f77(a1)),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f44(a1,x101261,x101262))))
% 218.59/218.71 [10149]~P144(f822(f822(f226(a1),f2(a1)),x101492))+E(f822(f822(f35(a1),f822(f822(f79(a1),f77(a1)),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x101491))),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x101492)),f822(f822(f35(a1),x101491),x101492))
% 218.59/218.71 [10151]~P144(f822(f822(f226(a1),x101512),f2(a1)))+E(f822(f822(f35(a1),f822(f822(f79(a1),f77(a1)),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x101511))),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x101512)),f822(f822(f35(a1),f822(f822(f79(a1),x101511),f77(a1))),x101512))
% 218.59/218.71 [10152]~P144(f822(f822(f226(a1),x101522),f2(a1)))+E(f44(a1,f822(f822(f79(a1),f77(a1)),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x101521)),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x101522)),f822(f822(f3(a1),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f44(a1,f822(f822(f79(a1),x101521),f77(a1)),x101522))),f77(a1)))
% 218.59/218.71 [10024]~P96(x100241)+E(f822(f822(f235(x100241),f822(f99(x100241),a92)),f822(a107,f822(f822(f80(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x100242))),f822(f99(x100241),a92))
% 218.59/218.71 [10026]~P127(x100261)+E(f822(f822(f235(x100261),f822(f78(x100261),f77(x100261))),f822(a107,f822(f822(f80(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x100262))),f822(f78(x100261),f77(x100261)))
% 218.59/218.71 [4926]P37(x49261,x49262)+~P10(x49261,x49263,x49262)
% 218.59/218.71 [4928]P53(x49281,x49282)+~P10(x49281,x49283,x49282)
% 218.59/218.71 [5102]~P10(x51021,x51022,x51023)+P54(x51021,x51022,x51023)
% 218.59/218.71 [6140]E(x61401,x61402)+~P40(a25,x61401,x61403,x61402)
% 218.59/218.71 [8145]~E(x81452,x81453)+P33(x81451,x81451,a314,x81452,x81453)
% 218.59/218.71 [8683]E(x86831,x86832)+~P33(x86833,x86833,a314,x86831,x86832)
% 218.59/218.71 [4730]E(f161(x47301,x47302,x47303),f108(x47301))+~E(x47302,f2(a885))
% 218.59/218.71 [4898]~E(f161(x48982,x48981,x48983),f108(x48982))+E(x48981,f2(a885))
% 218.59/218.71 [5107]~P36(x51071,x51073)+P36(x51071,f310(x51071,x51072,x51073))
% 218.59/218.71 [5216]~P29(x52161,x52162,x52163)+P30(a1,x52161,f170(x52162,x52163))
% 218.59/218.71 [5292]P29(x52921,x52922,x52923)+~P30(a1,x52921,f170(x52922,x52923))
% 218.59/218.71 [5364]~P10(x53641,x53642,x53643)+P10(f887(x53641),f153(x53641,x53642),f150(x53641,x53643))
% 218.59/218.71 [5365]~P54(x53651,x53652,x53653)+P54(f887(x53651),f153(x53651,x53652),f150(x53651,x53653))
% 218.59/218.71 [5477]P56(x54771,x54772,x54773)+~E(f588(x54773,x54772,x54771),f589(x54773,x54772,x54771))
% 218.59/218.71 [5478]P57(x54781,x54782,x54783)+~E(f604(x54783,x54782,x54781),f605(x54783,x54782,x54781))
% 218.59/218.71 [4685]~E(f822(f160(x46852),x46851),x46853)+E(x46851,f822(f160(x46852),x46853))
% 218.59/218.71 [4686]~E(x46862,f822(f160(x46861),x46863))+E(f822(f160(x46861),x46862),x46863)
% 218.59/218.71 [4736]E(x47361,x47362)+~E(f822(f160(x47363),x47361),f822(f160(x47363),x47362))
% 218.59/218.71 [4952]~P9(x49523,x49521)+P144(f822(f822(x49521,x49522),x49522))
% 218.59/218.71 [4953]~P43(x49533,x49531)+P144(f822(f822(x49531,x49532),x49532))
% 218.59/218.71 [4955]~P61(x49551,x49552)+P144(f822(f304(x49551,x49552),x49553))
% 218.59/218.71 [5021]~P36(x50211,x50212)+P36(f887(x50211),f822(f135(x50211,x50212),x50213))
% 218.59/218.71 [5026]~P144(f822(x50262,x50263))+~E(f822(f253(x50261),x50262),f182(f892(x50261,a882)))
% 218.59/218.71 [5027]~P144(f822(x50272,x50273))+~E(f182(f892(x50271,a882)),f822(f253(x50271),x50272))
% 218.59/218.71 [5039]E(x50391,f2(a885))+E(f136(x50392,f161(x50392,x50391,x50393)),x50393)
% 218.59/218.71 [5058]~P144(f822(x50581,x50583))+P144(f822(x50581,f89(x50582,x50581)))
% 218.59/218.71 [5059]~P144(f822(x50591,x50593))+P144(f822(x50591,f754(x50591,x50592)))
% 218.59/218.71 [5072]E(x50721,f2(a885))+E(f822(f133(x50722),f161(x50722,x50721,x50723)),x50723)
% 218.59/218.71 [5178]~E(x51782,x51783)+P144(f822(f822(f318(x51781),x51782),f822(a314,x51783)))
% 218.59/218.71 [5193]~E(x51932,f2(a885))+E(f822(f164(x51931),f161(x51931,x51932,x51933)),f182(f892(x51931,a882)))
% 218.59/218.71 [5239]E(f822(f160(x52391),x52392),f822(f822(f143(x52391),x52393),f108(x52391)))+~E(x52392,f822(f822(f143(x52391),x52393),f108(x52391)))
% 218.59/218.71 [5240]~E(x52403,f822(f822(f143(x52401),x52402),f108(x52401)))+E(f822(f822(f143(x52401),x52402),f108(x52401)),f822(f160(x52401),x52403))
% 218.59/218.71 [5288]~P32(x52881,x52882,x52883)+P32(x52881,x52882,f822(f160(x52881),x52883))
% 218.59/218.71 [5289]~P30(x52891,x52892,x52893)+P30(x52891,x52892,f822(f160(x52891),x52893))
% 218.59/218.71 [5293]E(f822(f34(x52931),f356(x52932,x52933,x52931)),x52932)+~E(f822(f34(x52931),x52933),f822(a107,x52932))
% 218.59/218.71 [5300]~P36(x53001,x53003)+P144(f822(f822(f318(x53001),x53002),f305(x53001,x53003)))
% 218.59/218.71 [5304]~E(f822(f160(x53042),x53041),f822(f822(f143(x53042),x53043),f108(x53042)))+E(x53041,f822(f822(f143(x53042),x53043),f108(x53042)))
% 218.59/218.71 [5305]~E(f822(f822(f143(x53052),x53053),f108(x53052)),f822(f160(x53052),x53051))+E(x53051,f822(f822(f143(x53052),x53053),f108(x53052)))
% 218.59/218.71 [5329]E(f84(f891(a885,a885),f47(x53291,x53292)),x53293)+~P144(f822(f47(x53291,x53292),x53293))
% 218.59/218.71 [5368]P32(x53681,x53682,x53683)+~P32(x53681,x53682,f822(f160(x53681),x53683))
% 218.59/218.71 [5369]P30(x53691,x53692,x53693)+~P30(x53691,x53692,f822(f160(x53691),x53693))
% 218.59/218.71 [5430]~E(x54302,f108(x54301))+P144(f822(f822(f318(f887(x54301)),x54302),f153(x54301,x54303)))
% 218.59/218.71 [5440]~P54(x54401,x54402,x54403)+P54(x54401,x54402,f822(f275(x54401,x54401),x54403))
% 218.59/218.71 [5441]~P57(x54411,x54412,x54413)+P57(x54411,x54412,f822(f275(x54411,x54411),x54413))
% 218.59/218.71 [5458]~P5(x54581)+E(f44(x54581,f44(x54581,x54582,x54583),x54583),f44(x54581,x54582,x54583))
% 218.59/218.71 [5560]E(x55601,x55602)+~P144(f822(f822(f318(x55603),x55601),f822(a314,x55602)))
% 218.59/218.71 [5607]~P1(x56071)+E(f184(x56071,x56072,f2(a885),x56073),x56073)
% 218.59/218.71 [5629]P54(x56291,x56292,x56293)+~P54(x56291,x56292,f822(f275(x56291,x56291),x56293))
% 218.59/218.71 [5630]P57(x56301,x56302,x56303)+~P57(x56301,x56302,f822(f275(x56301,x56301),x56303))
% 218.59/218.71 [5635]~P92(x56352)+E(f142(x56351,x56352,x56353,f108(x56351)),f108(x56351))
% 218.59/218.71 [5647]E(f162(x56471,x56472,f144(x56471,x56473)),f144(x56471,f162(x56471,x56472,x56473)))+~P144(f822(f129(x56471),x56473))
% 218.59/218.71 [5748]E(f822(f128(x57481,x57482),x57483),f108(x57481))+P144(f822(x57482,f699(x57483,x57482,x57481)))
% 218.59/218.71 [5816]E(f67(x58161,x58162,x58163),x58162)+P144(f822(x58163,f755(x58162,x58161,x58163)))
% 218.59/218.71 [5911]~P144(f822(f129(x59111),x59112))+P144(f822(f129(x59111),f168(x59111,x59112,x59113)))
% 218.59/218.71 [5912]~P144(f822(f129(x59121),x59123))+P144(f822(f129(x59121),f162(x59121,x59122,x59123)))
% 218.59/218.71 [5913]~P144(f822(f129(x59131),x59133))+P144(f822(f129(x59131),f169(x59131,x59132,x59133)))
% 218.59/218.71 [5914]~P144(f822(f129(x59141),x59143))+P144(f822(f129(x59141),f132(x59141,x59142,x59143)))
% 218.59/218.71 [5915]~P147(x59151,x59153,x59152)+P144(f822(x59151,f44(a1,x59152,x59153)))
% 218.59/218.71 [5932]~P32(x59323,x59321,x59322)+P144(f822(x59321,f769(x59322,x59321,x59323)))
% 218.59/218.71 [5933]~P34(x59333,x59331,x59332)+P144(f822(x59331,f772(x59332,x59331,x59333)))
% 218.59/218.71 [5934]~P34(x59343,x59341,x59342)+P144(f822(x59341,f784(x59342,x59341,x59343)))
% 218.59/218.71 [5935]~P32(x59353,x59351,x59352)+P144(f822(x59351,f796(x59352,x59351,x59353)))
% 218.59/218.71 [5936]~P32(x59363,x59361,x59362)+P144(f822(x59361,f802(x59361,x59362,x59363)))
% 218.59/218.71 [5956]E(f822(f128(x59561,x59562),x59563),f169(x59561,x59562,x59563))+P144(f822(x59562,f736(x59563,x59562,x59561)))
% 218.59/218.71 [5997]~P144(f822(f129(x59971),x59973))+P144(f822(f129(f887(x59971)),f54(x59971,x59972,x59973)))
% 218.59/218.71 [6033]~P91(x60331)+E(f822(f822(f97(f892(x60331,a882)),f822(f271(x60331),x60332)),f292(x60331,x60332,x60333)),f182(f892(x60331,a882)))
% 218.59/218.71 [6034]~P91(x60341)+E(f822(f822(f97(f892(x60341,a882)),f822(f290(x60341),x60342)),f294(x60341,x60342,x60343)),f182(f892(x60341,a882)))
% 218.59/218.71 [6035]~P91(x60351)+E(f822(f822(f97(f892(x60351,a882)),f822(f290(x60351),x60352)),f295(x60351,x60352,x60353)),f182(f892(x60351,a882)))
% 218.59/218.71 [6274]E(f822(f128(x62741,x62742),x62743),x62743)+~P144(f822(x62742,f700(x62743,x62742,x62741)))
% 218.59/218.71 [6276]E(f822(f822(f298(x62761),f390(x62762,x62763,x62761)),f356(x62762,x62763,x62761)),x62763)+~E(f822(f34(x62761),x62763),f822(a107,x62762))
% 218.59/218.71 [6292]P147(x62921,x62922,x62923)+~P144(f822(x62921,f44(a1,x62923,x62922)))
% 218.59/218.71 [6346]P30(x63461,x63462,x63463)+~P144(f822(x63462,f773(x63462,x63463,x63461)))
% 218.59/218.71 [6347]P30(x63471,x63472,x63473)+~P144(f822(x63472,f782(x63473,x63472,x63471)))
% 218.59/218.71 [6348]P30(x63481,x63482,x63483)+~P144(f822(x63482,f783(x63483,x63482,x63481)))
% 218.59/218.71 [6349]P29(x63491,x63492,x63493)+~P144(f822(x63491,f797(x63493,x63492,x63491)))
% 218.59/218.71 [6351]E(f169(x63511,x63512,x63513),x63513)+~P144(f822(x63512,f731(x63513,x63512,x63511)))
% 218.59/218.71 [6440]~P144(f822(x64402,f553(x64403,x64402,x64401)))+P144(f822(f239(x64401,x64402),x64403))
% 218.59/218.71 [6441]~P144(f822(x64412,f701(x64413,x64412,x64411)))+P144(f822(f152(x64411,x64412),x64413))
% 218.59/218.71 [6703]~P144(f822(f304(x67031,x67032),f837(x67033,x67032,x67031)))+P144(f822(f304(x67031,x67032),x67033))
% 218.59/218.71 [6704]~P144(f822(f304(x67041,x67042),f843(x67043,x67042,x67041)))+P144(f822(f304(x67041,x67042),x67043))
% 218.59/218.71 [7339]~P5(x73391)+E(f822(f822(f79(x73391),f822(f822(f80(x73391),x73392),f822(f822(f35(x73391),x73393),x73392))),f44(x73391,x73393,x73392)),x73393)
% 218.59/218.71 [7370]P29(x73701,x73702,x73703)+P144(f822(f822(f318(a1),f797(x73703,x73702,x73701)),f292(a1,x73702,x73703)))
% 218.59/218.71 [7818]E(f822(f822(f243(x78181,x78181),f434(x78182,x78183,x78181)),f434(x78182,x78183,x78181)),x78183)+~P144(f822(f822(f318(f891(x78181,x78181)),x78183),f254(x78181,x78182)))
% 218.59/218.71 [7940]~P144(f822(f822(f318(x79401),f487(x79403,x79402,x79401)),f305(x79401,x79403)))+P144(f822(f822(f318(x79401),x79402),f305(x79401,x79403)))
% 218.59/218.71 [7941]~P144(f822(f822(f318(x79411),f575(x79413,x79412,x79411)),f305(x79411,x79413)))+P144(f822(f822(f318(x79411),x79412),f305(x79411,x79413)))
% 218.59/218.71 [7942]~P144(f822(f822(f318(x79421),f577(x79423,x79422,x79421)),f305(x79421,x79423)))+P144(f822(f822(f318(x79421),x79422),f305(x79421,x79423)))
% 218.59/218.71 [8035]P32(a1,x80351,f170(x80352,x80353))+P29(f822(f72(a882,a882,a1,a311),x80351),x80352,x80353)
% 218.59/218.71 [8126]~P5(x81261)+E(f822(f822(f79(x81261),f822(f822(f80(x81261),f822(f822(f35(x81261),x81262),x81263)),x81263)),f44(x81261,x81262,x81263)),x81262)
% 218.59/218.71 [8171]~E(f822(f34(x81711),x81712),f822(a107,x81713))+~P144(f822(f822(f318(x81711),f390(x81713,x81712,x81711)),f356(x81713,x81712,x81711)))
% 218.59/218.71 [8604]~P32(a1,x86041,f170(x86042,x86043))+~P29(f822(f72(a882,a882,a1,a311),x86041),x86042,x86043)
% 218.59/218.71 [8775]P144(f822(f822(f226(f892(f891(x87751,x87751),a882)),f296(x87751,x87752)),f296(x87751,x87753)))+~P144(f822(f822(f226(f892(f891(x87751,x87751),a882)),x87752),f296(x87751,x87753)))
% 218.59/218.71 [9040]E(x90401,f108(x90402))+~P144(f822(f822(f318(f891(f887(x90402),f887(x90402))),f822(f822(f243(f887(x90402),f887(x90402)),x90401),f108(x90402))),f150(x90402,x90403)))
% 218.59/218.71 [9065]E(x90651,f108(x90652))+~P144(f822(f822(f318(f891(f887(x90652),f887(x90652))),f822(f822(f243(f887(x90652),f887(x90652)),f108(x90652)),x90651)),f150(x90652,x90653)))
% 218.59/218.71 [9200]E(f822(f822(f143(x92001),f704(x92002,x92003,x92001)),f705(x92002,x92003,x92001)),x92003)+~P144(f822(f822(f318(f891(f887(x92001),f887(x92001))),f822(f822(f243(f887(x92001),f887(x92001)),f108(x92001)),x92003)),f139(x92001,x92002)))
% 218.59/218.71 [9431]~P125(x94311)+~P144(f822(f822(f227(x94311),f822(f822(f79(x94311),f822(f822(f80(x94311),x94312),x94312)),f822(f822(f80(x94311),x94313),x94313))),f2(x94311)))
% 218.59/218.71 [9480]P144(f822(f60(x94801),x94802))+~P144(f822(f822(f318(f891(f892(x94801,a882),f892(x94801,a882))),f822(f822(f243(f892(x94801,a882),f892(x94801,a882)),x94803),x94802)),f303(x94801)))
% 218.59/218.71 [9775]~P47(x97751,x97752,x97753)+P144(f822(f822(f227(a1),f822(f822(f72(f891(a1,a1),a1,x97751,f242(a1,a1)),f206(x97751)),f224(x97751,x97752,f221(x97751,x97753)))),f2(a1)))
% 218.59/218.71 [9776]~P48(x97761,x97762,x97763)+P144(f822(f822(f226(a1),f822(f822(f72(f891(a1,a1),a1,x97761,f242(a1,a1)),f206(x97761)),f224(x97761,x97762,f221(x97761,x97763)))),f2(a1)))
% 218.59/218.71 [9901]P47(x99011,x99012,x99013)+~P144(f822(f822(f227(a1),f822(f822(f72(f891(a1,a1),a1,x99011,f242(a1,a1)),f206(x99011)),f224(x99011,x99012,f221(x99011,x99013)))),f2(a1)))
% 218.59/218.71 [9902]P48(x99021,x99022,x99023)+~P144(f822(f822(f226(a1),f822(f822(f72(f891(a1,a1),a1,x99021,f242(a1,a1)),f206(x99021)),f224(x99021,x99022,f221(x99021,x99023)))),f2(a1)))
% 218.59/218.71 [10242]~P111(x102421)+~P144(f822(f822(f227(x102421),f822(f822(f79(x102421),f822(f822(f235(x102421),x102422),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x102421),x102423),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))),f2(x102421)))
% 218.59/218.71 [4715]~E(x47153,f108(x47151))+E(f822(f822(f126(x47151),x47152),x47153),x47152)
% 218.59/218.71 [4716]~E(x47162,f108(x47161))+E(f822(f822(f126(x47161),x47162),x47163),x47163)
% 218.59/218.71 [4722]~E(x47222,f2(a885))+E(f822(f822(f167(x47221),x47222),x47223),f108(x47221))
% 218.59/218.71 [4731]~E(x47313,f108(x47311))+E(f822(f822(f167(x47311),x47312),x47313),f108(x47311))
% 218.59/218.71 [4770]~E(x47701,x47703)+E(x47701,f822(f822(f126(x47702),f108(x47702)),x47703))
% 218.59/218.71 [4860]~P116(x48602)+E(f822(f233(f892(x48601,x48602)),x48603),f233(x48602))
% 218.59/218.71 [4862]~P107(x48622)+E(f822(f182(f892(x48621,x48622)),x48623),f182(x48622))
% 218.59/218.71 [4880]E(x48801,f108(x48802))+~E(f822(f822(f126(x48802),x48803),x48801),x48803)
% 218.59/218.71 [4881]E(x48811,f108(x48812))+~E(f822(f822(f126(x48812),x48811),x48813),x48813)
% 218.59/218.71 [4889]E(x48891,f108(x48892))+~E(f822(f822(f126(x48892),x48893),x48891),f108(x48892))
% 218.59/218.71 [4890]E(x48901,f108(x48902))+~E(f822(f822(f126(x48902),x48901),x48903),f108(x48902))
% 218.59/218.71 [4919]~E(x49192,f2(a885))+E(f822(f822(f80(a885),x49191),x49192),f822(f822(f80(a885),x49193),x49192))
% 218.59/218.71 [4921]~E(x49211,f2(a885))+E(f822(f822(f80(a885),x49211),x49212),f822(f822(f80(a885),x49211),x49213))
% 218.59/218.71 [4979]~P112(x49791)+E(f822(f822(f79(x49791),x49792),x49793),f822(f822(f79(x49791),x49793),x49792))
% 218.59/218.71 [4980]~P112(x49801)+E(f822(f822(f80(x49801),x49802),x49803),f822(f822(f80(x49801),x49803),x49802))
% 218.59/218.71 [4982]~P92(x49821)+E(f822(f822(f230(x49821),x49822),x49823),f822(f822(f230(x49821),x49823),x49822))
% 218.59/218.71 [4984]~P92(x49841)+E(f822(f822(f181(x49841),x49842),x49843),f822(f822(f181(x49841),x49843),x49842))
% 218.59/218.71 [4986]~P99(x49861)+E(f822(f822(f96(x49861),x49862),x49863),f822(f822(f96(x49861),x49863),x49862))
% 218.59/218.71 [4987]~P100(x49871)+E(f822(f822(f96(x49871),x49872),x49873),f822(f822(f96(x49871),x49873),x49872))
% 218.59/218.71 [4988]~P100(x49881)+E(f822(f822(f97(x49881),x49882),x49883),f822(f822(f97(x49881),x49883),x49882))
% 218.59/218.71 [4990]~P105(x49901)+E(f822(f822(f97(x49901),x49902),x49903),f822(f822(f97(x49901),x49903),x49902))
% 218.59/218.71 [5053]E(f44(a885,x50531,x50532),f2(a885))+~E(x50531,f822(f822(f80(a885),x50532),x50533))
% 218.59/218.71 [5054]E(f44(a1,x50541,x50542),f2(a1))+~E(x50541,f822(f822(f80(a1),x50542),x50543))
% 218.59/218.71 [5119]E(x51191,x51192)+~E(f822(f822(f79(a885),x51193),x51191),f822(f822(f79(a885),x51193),x51192))
% 218.59/218.71 [5120]E(x51201,x51202)+~E(f822(f822(f79(a885),x51201),x51203),f822(f822(f79(a885),x51202),x51203))
% 218.59/218.71 [5130]~P75(x51301)+E(f822(f822(f79(x51301),x51302),f822(f78(x51301),x51303)),f822(f822(f3(x51301),x51302),x51303))
% 218.59/218.71 [5131]~P4(x51311)+E(f822(f822(f79(x51311),x51312),f822(f78(x51311),x51313)),f822(f822(f3(x51311),x51312),x51313))
% 218.59/218.71 [5132]~P114(x51321)+E(f822(f822(f79(x51321),x51322),f822(f78(x51321),x51323)),f822(f822(f3(x51321),x51322),x51323))
% 218.59/218.71 [5133]~P97(x51331)+E(f822(f822(f97(x51331),x51332),f822(f78(x51331),x51333)),f822(f822(f3(x51331),x51332),x51333))
% 218.59/218.71 [5134]~P75(x51341)+E(f822(f822(f3(x51341),x51342),f822(f78(x51341),x51343)),f822(f822(f79(x51341),x51342),x51343))
% 218.59/218.71 [5172]~P144(f822(x51723,x51722))+P144(f822(f822(f318(x51721),x51722),x51723))
% 218.59/218.71 [5174]~P72(x51742)+E(f822(f822(f8(x51741,x51742),x51743),f182(f892(x51741,a882))),f2(x51742))
% 218.59/218.71 [5176]~P76(x51762)+E(f822(f822(f11(x51761,x51762),x51763),f182(f892(x51761,a882))),f77(x51762))
% 218.59/218.71 [5228]~E(x52282,f822(f822(f79(a885),x52281),x52283))+P144(f822(f822(f226(a885),x52281),x52282))
% 218.59/218.71 [5231]~E(x52312,f182(f892(x52311,a882)))+E(f822(f822(f59(x52311),x52312),x52313),f182(f892(f892(x52311,a882),a882)))
% 218.59/218.71 [5232]~E(x52322,f182(f892(x52321,a882)))+E(f182(f892(f892(x52321,a882),a882)),f822(f822(f59(x52321),x52322),x52323))
% 218.59/218.71 [5308]~E(f822(f273(x53082,x53083),x53081),f182(f892(x53083,a882)))+E(x53081,f182(f892(f891(x53082,x53083),a882)))
% 218.59/218.71 [5309]~E(f822(f255(x53092,x53093),x53091),f182(f892(x53092,a882)))+E(x53091,f182(f892(f891(x53092,x53093),a882)))
% 218.59/218.71 [5342]E(f822(f273(x53421,x53422),x53423),f182(f892(x53422,a882)))+~E(x53423,f182(f892(f891(x53421,x53422),a882)))
% 218.59/218.71 [5343]E(f822(f255(x53431,x53432),x53433),f182(f892(x53431,a882)))+~E(x53433,f182(f892(f891(x53431,x53432),a882)))
% 218.59/218.71 [5346]E(f263(x53461,x53462,x53463),f822(f822(f3(a94),x53462),x53463))+P144(f822(f822(f227(a94),x53462),x53463))
% 218.59/218.71 [5362]P144(f822(x53621,x53622))+~P144(f822(f822(f318(x53623),x53622),x53621))
% 218.59/218.71 [5401]E(x54011,x54012)+~E(f822(f78(f892(x54013,a882)),x54011),f822(f78(f892(x54013,a882)),x54012))
% 218.59/218.71 [5410]~E(x54101,f182(f892(x54102,a882)))+~P144(f822(f822(f318(x54102),x54103),x54101))
% 218.59/218.71 [5442]~E(x54422,f822(f822(f79(a1),x54421),f822(f95(a1),x54423)))+P144(f822(f822(f226(a1),x54421),x54422))
% 218.59/218.71 [5456]E(f822(f822(f298(x54561),x54562),x54563),x54563)+~P144(f822(f822(f318(x54561),x54562),x54563))
% 218.59/218.71 [5467]E(x54671,f182(f892(x54672,a882)))+~E(f822(f822(f59(x54672),x54671),x54673),f182(f892(f892(x54672,a882),a882)))
% 218.59/218.71 [5468]E(x54681,f182(f892(x54682,a882)))+~E(f182(f892(f892(x54682,a882),a882)),f822(f822(f59(x54682),x54681),x54683))
% 218.59/218.71 [5474]~P128(x54741)+E(f822(f822(f80(x54741),f822(f78(x54741),x54742)),f822(f78(x54741),x54743)),f822(f822(f80(x54741),x54742),x54743))
% 218.59/218.71 [5476]~P64(x54761)+E(f822(f822(f280(x54761),f822(f78(x54761),x54762)),f822(f78(x54761),x54763)),f822(f822(f280(x54761),x54762),x54763))
% 218.59/218.71 [5507]~P144(f822(x55073,x55072))+P144(f822(f822(f318(x55071),x55072),f822(f253(x55071),x55073)))
% 218.59/218.71 [5534]E(x55341,f2(a885))+E(f822(f164(x55342),f161(x55342,x55341,x55343)),f822(f822(f298(x55342),x55343),f182(f892(x55342,a882))))
% 218.59/218.71 [5553]E(f162(x55531,x55532,x55533),x55533)+P144(f822(f822(f318(x55531),x55532),f822(f164(x55531),x55533)))
% 218.59/218.71 [5639]~P144(f822(f129(x56391),x56393))+P144(f822(f129(x56391),f822(f128(x56391,x56392),x56393)))
% 218.59/218.71 [5682]~P5(x56821)+E(f822(f822(f35(x56821),f44(x56821,x56822,x56823)),x56823),f2(x56821))
% 218.59/218.71 [5701]E(f168(x57011,f822(f822(f143(x57011),x57012),f108(x57011)),x57013),f108(x57011))+P144(f822(f822(f318(a885),f2(a885)),x57013))
% 218.59/218.71 [5707]E(x57071,f2(a885))+E(f822(f163(x57072),f161(x57072,x57071,x57073)),f161(x57072,f822(f822(f3(a885),x57071),f77(a885)),x57073))
% 218.59/218.71 [5758]E(f822(f822(f143(x57581),x57582),x57583),f132(x57581,x57582,x57583))+P144(f822(f822(f318(x57581),x57582),f822(f164(x57581),x57583)))
% 218.59/218.71 [5767]E(x57671,x57672)+~E(f822(f822(f80(a885),f822(a107,x57673)),x57671),f822(f822(f80(a885),f822(a107,x57673)),x57672))
% 218.59/218.71 [5768]~E(x57682,f822(f822(f79(a1),x57681),f822(f95(a1),f822(a107,x57683))))+P144(f822(f822(f227(a1),x57681),x57682))
% 218.59/218.71 [5891]~E(x58913,f108(x58911))+E(f822(f822(f822(f175(f887(x58911),f887(x58911)),x58912),f159(x58911)),x58913),f108(x58911))
% 218.59/218.71 [5895]P144(f822(x58951,x58952))+~P144(f822(f822(f318(x58953),x58952),f822(f253(x58953),x58951)))
% 218.59/218.71 [5927]E(x59271,x59272)+~E(f822(f822(f298(x59273),x59271),f182(f892(x59273,a882))),f822(f822(f298(x59273),x59272),f182(f892(x59273,a882))))
% 218.59/218.71 [5943]~P91(x59431)+E(f822(f822(f97(f892(x59431,a882)),f822(f271(x59431),x59432)),f822(f291(x59431,x59432),x59433)),f182(f892(x59431,a882)))
% 218.59/218.71 [5982]E(f132(x59821,x59822,x59823),x59823)+~P144(f822(f822(f318(x59821),x59822),f822(f164(x59821),x59823)))
% 218.59/218.71 [6005]~P80(x60051)+E(f822(f299(x60051,x60051,f78(x60051)),f822(f291(x60051,x60052),x60053)),f294(x60051,f822(f78(x60051),x60053),f822(f78(x60051),x60052)))
% 218.59/218.71 [6016]E(f822(f183(f887(x60161)),f162(x60161,x60162,x60163)),f822(f183(f887(x60161)),x60163))+P144(f822(f822(f318(x60161),x60162),f822(f164(x60161),x60163)))
% 218.59/218.71 [6073]~P91(x60731)+E(f822(f822(f97(f892(x60731,a882)),f822(f291(x60731,x60732),x60733)),f822(f272(x60731),x60733)),f182(f892(x60731,a882)))
% 218.59/218.71 [6093]~P80(x60931)+E(f822(f299(x60931,x60931,f78(x60931)),f292(x60931,x60932,x60933)),f292(x60931,f822(f78(x60931),x60933),f822(f78(x60931),x60932)))
% 218.59/218.71 [6094]~P80(x60941)+E(f822(f299(x60941,x60941,f78(x60941)),f295(x60941,x60942,x60943)),f295(x60941,f822(f78(x60941),x60943),f822(f78(x60941),x60942)))
% 218.59/218.71 [6161]E(f168(x61611,f822(f822(f143(x61611),x61612),f108(x61611)),x61613),f822(f822(f143(x61611),x61612),f108(x61611)))+~P144(f822(f822(f318(a885),f2(a885)),x61613))
% 218.59/218.71 [6169]~P80(x61691)+E(f822(f299(x61691,x61691,f78(x61691)),f294(x61691,x61692,x61693)),f822(f291(x61691,f822(f78(x61691),x61693)),f822(f78(x61691),x61692)))
% 218.59/218.71 [6192]~P6(x61921)+E(f44(x61921,f822(f78(x61921),f44(x61921,x61922,x61923)),x61923),f44(x61921,f822(f78(x61921),x61922),x61923))
% 218.59/218.71 [6290]~P144(f822(f60(f891(x62902,x62901)),x62903))+P144(f822(f60(x62901),f822(f273(x62902,x62901),x62903)))
% 218.59/218.71 [6291]~P144(f822(f60(f891(x62911,x62912)),x62913))+P144(f822(f60(x62911),f822(f255(x62911,x62912),x62913)))
% 218.59/218.71 [6296]~P91(x62961)+E(f822(f822(f97(f892(x62961,a882)),f292(x62961,x62962,x62963)),f822(f293(x62961),x62963)),f182(f892(x62961,a882)))
% 218.59/218.71 [6297]~P91(x62971)+E(f822(f822(f97(f892(x62971,a882)),f294(x62971,x62972,x62973)),f822(f293(x62971),x62973)),f182(f892(x62971,a882)))
% 218.59/218.71 [6298]~P91(x62981)+E(f822(f822(f97(f892(x62981,a882)),f295(x62981,x62982,x62983)),f822(f272(x62981),x62983)),f182(f892(x62981,a882)))
% 218.59/218.71 [6375]E(f822(f822(f156(x63751),x63752),f675(x63752,x63753,x63751)),x63753)+~P144(f822(f822(f318(x63751),x63753),f822(f164(x63751),x63752)))
% 218.59/218.71 [6528]E(x65281,f108(x65282))+~E(f822(f822(f822(f175(f887(x65282),f887(x65282)),x65283),f159(x65282)),x65281),f108(x65282))
% 218.59/218.71 [6635]~P144(f822(f60(f891(x66352,x66351)),x66353))+P144(f822(f60(f891(x66351,x66352)),f822(f275(x66352,x66351),x66353)))
% 218.59/218.71 [6660]E(x66601,x66602)+~E(f279(a885,f276(a885),x66603,x66601),f822(f822(f298(a885),x66602),f182(f892(a885,a882))))
% 218.59/218.71 [6661]E(x66611,x66612)+~E(f279(a885,f276(a885),x66611,x66612),f822(f822(f298(a885),x66613),f182(f892(a885,a882))))
% 218.59/218.71 [6798]P57(x67981,x67982,x67983)+P144(f822(f822(f318(x67981),f605(x67983,x67982,x67981)),x67982))
% 218.59/218.71 [6799]P57(x67991,x67992,x67993)+P144(f822(f822(f318(x67991),f604(x67993,x67992,x67991)),x67992))
% 218.59/218.71 [6809]P144(f822(f304(x68091,x68092),x68093))+P144(f822(f822(x68092,f837(x68093,x68092,x68091)),x68093))
% 218.59/218.71 [6810]P144(f822(f304(x68101,x68102),x68103))+P144(f822(f822(x68102,f843(x68103,x68102,x68101)),x68103))
% 218.59/218.71 [6842]E(f822(f183(f887(x68421)),f162(x68421,x68422,x68423)),f822(f822(f3(a885),f822(f183(f887(x68421)),x68423)),f77(a885)))+~P144(f822(f822(f318(x68421),x68422),f822(f164(x68421),x68423)))
% 218.59/218.71 [6881]P144(f822(f239(x68811,x68812),x68813))+P144(f822(f822(f318(x68811),f553(x68813,x68812,x68811)),x68813))
% 218.59/218.71 [6892]~P144(f822(f60(f891(x68922,x68921)),f822(f275(x68921,x68922),x68923)))+P144(f822(f60(f891(x68921,x68922)),x68923))
% 218.59/218.71 [6952]~P144(f822(f822(f318(x69521),x69522),f822(f164(x69521),f109(x69521,x69523))))+P144(f822(f822(f318(x69521),x69522),f822(f164(x69521),x69523)))
% 218.59/218.71 [6990]E(f822(f128(x69901,x69902),x69903),x69903)+P144(f822(f822(f318(x69901),f700(x69903,x69902,x69901)),f822(f164(x69901),x69903)))
% 218.59/218.71 [7006]E(f822(f128(x70061,x70062),x70063),f108(x70061))+P144(f822(f822(f318(x70061),f699(x70063,x70062,x70061)),f822(f164(x70061),x70063)))
% 218.59/218.71 [7031]P30(x70311,x70312,x70313)+P144(f822(f822(f318(x70311),f782(x70313,x70312,x70311)),f822(f164(x70311),x70313)))
% 218.59/218.71 [7032]P30(x70321,x70322,x70323)+P144(f822(f822(f318(x70321),f783(x70323,x70322,x70321)),f822(f164(x70321),x70323)))
% 218.59/218.71 [7033]P30(x70331,x70332,x70333)+P144(f822(f822(f318(x70331),f773(x70332,x70333,x70331)),f822(f164(x70331),x70333)))
% 218.59/218.71 [7036]E(f169(x70361,x70362,x70363),x70363)+P144(f822(f822(f318(x70361),f731(x70363,x70362,x70361)),f822(f164(x70361),x70363)))
% 218.59/218.71 [7113]P144(f822(f152(x71131,x71132),x71133))+P144(f822(f822(f318(x71131),f701(x71133,x71132,x71131)),f822(f164(x71131),x71133)))
% 218.59/218.71 [7122]~P32(x71221,x71223,x71222)+P144(f822(f822(f318(x71221),f769(x71222,x71223,x71221)),f822(f164(x71221),x71222)))
% 218.59/218.71 [7123]~P34(x71231,x71233,x71232)+P144(f822(f822(f318(x71231),f772(x71232,x71233,x71231)),f822(f164(x71231),x71232)))
% 218.59/218.71 [7124]~P34(x71241,x71243,x71242)+P144(f822(f822(f318(x71241),f784(x71242,x71243,x71241)),f822(f164(x71241),x71242)))
% 218.59/218.71 [7125]~P32(x71251,x71253,x71252)+P144(f822(f822(f318(x71251),f796(x71252,x71253,x71251)),f822(f164(x71251),x71252)))
% 218.59/218.71 [7126]~P32(x71261,x71262,x71263)+P144(f822(f822(f318(x71261),f802(x71262,x71263,x71261)),f822(f164(x71261),x71263)))
% 218.59/218.71 [7160]P144(f822(f822(f318(x71601),x71602),f651(x71603,x71602,x71601)))+~P144(f822(f822(f318(x71601),x71602),f36(f892(x71601,a882),x71603)))
% 218.59/218.71 [7161]~P72(x71611)+E(f822(f822(f79(x71611),f822(f822(f8(a885,x71611),x71612),f822(f271(a885),x71613))),f822(x71612,x71613)),f822(f822(f8(a885,x71611),x71612),f822(f271(a885),f822(a107,x71613))))
% 218.59/218.71 [7255]~P32(x72552,x72551,x72553)+P144(f822(x72551,f822(f822(f156(x72552),x72553),f771(x72553,x72551,x72552))))
% 218.59/218.71 [7266]~P144(f822(f822(f318(x72661),x72662),f626(x72662,x72663,x72661)))+P144(f822(f822(f318(x72661),x72662),f37(f892(x72661,a882),x72663)))
% 218.59/218.71 [7299]~P72(x72991)+E(f822(f822(f79(x72991),f822(f822(f8(a885,x72991),x72992),f822(f290(a885),x72993))),f822(x72992,f822(a107,x72993))),f822(f822(f8(a885,x72991),x72992),f822(f290(a885),f822(a107,x72993))))
% 218.59/218.71 [7451]P144(f822(f822(f318(f887(x74511)),x74512),f153(x74511,x74513)))+P144(f822(f822(f318(x74511),f676(x74513,x74512,x74511)),f822(f164(x74511),x74512)))
% 218.59/218.71 [7467]~P144(f822(f822(f318(f887(x74671)),x74672),f153(x74671,f305(x74671,x74673))))+P144(f822(f822(f318(f887(x74671)),x74672),f305(f887(x74671),f149(x74671,x74673))))
% 218.59/218.71 [7494]~P144(f822(f822(f318(f887(x74941)),x74942),f305(f887(x74941),f149(x74941,x74943))))+P144(f822(f822(f318(f887(x74941)),x74942),f153(x74941,f305(x74941,x74943))))
% 218.59/218.71 [7530]E(f822(f822(f822(f175(f887(x75301),f887(x75301)),x75302),f159(x75301)),x75303),x75303)+~P144(f822(f822(f226(a885),f822(f183(f887(x75301)),x75303)),f77(a885)))
% 218.59/218.71 [7557]~E(f44(a885,x75571,x75572),f44(a885,x75573,x75572))+E(f822(f822(f79(a885),x75571),f822(f822(f80(a885),x75572),f865(x75573,x75572,x75571))),f822(f822(f79(a885),x75573),f822(f822(f80(a885),x75572),f866(x75573,x75572,x75571))))
% 218.59/218.71 [7564]E(f822(f822(f126(x75641),f775(x75642,x75643,x75641)),f822(f822(f143(x75641),x75643),f780(x75642,x75643,x75641))),x75642)+~P144(f822(f822(f318(x75641),x75643),f822(f164(x75641),x75642)))
% 218.59/218.71 [7565]E(f822(f822(f126(x75651),f776(x75652,x75653,x75651)),f822(f822(f143(x75651),x75653),f777(x75652,x75653,x75651))),x75652)+~P144(f822(f822(f318(x75651),x75653),f822(f164(x75651),x75652)))
% 218.59/218.71 [7566]E(f822(f822(f126(x75661),f778(x75662,x75663,x75661)),f822(f822(f143(x75661),x75663),f779(x75662,x75663,x75661))),x75662)+~P144(f822(f822(f318(x75661),x75663),f822(f164(x75661),x75662)))
% 218.59/218.71 [7587]~P26(x75871,x75872,x75873,f233(f892(x75871,a882)))+P26(f887(x75871),f887(x75872),f822(f146(x75871,x75872),x75873),f233(f892(f887(x75871),a882)))
% 218.59/218.71 [7740]E(x77401,f822(f822(f79(a885),f822(f822(f80(a885),f822(f242(a885,a885),x77402)),x77403)),f822(f247(a885,a885),x77402)))+~P144(f822(f47(x77401,x77403),x77402))
% 218.59/218.71 [7748]P26(x77481,x77482,x77483,f233(f892(x77481,a882)))+~P26(f887(x77481),f887(x77482),f822(f146(x77481,x77482),x77483),f233(f892(f887(x77481),a882)))
% 218.59/218.71 [7793]P144(f822(f822(f318(f892(x77931,a882)),f626(x77932,x77933,x77931)),x77933))+P144(f822(f822(f318(x77931),x77932),f37(f892(x77931,a882),x77933)))
% 218.59/218.71 [7883]P144(f822(f822(f318(f887(x78831)),x78832),f153(x78831,x78833)))+~P144(f822(f822(f318(x78831),f676(x78833,x78832,x78831)),x78833))
% 218.59/218.71 [7989]P30(x79891,x79892,x79893)+~P144(f822(x79892,f822(f822(f156(x79891),x79893),f774(x79893,x79892,x79891))))
% 218.59/218.71 [8016]E(x80161,x80162)+~E(f822(f822(f9(x80163,f892(x80163,a882),a882),f318(x80163)),x80161),f822(f822(f9(x80163,f892(x80163,a882),a882),f318(x80163)),x80162))
% 218.59/218.71 [8022]~P144(f822(f822(f318(f891(x80221,x80221)),x80223),f254(x80221,x80222)))+P144(f822(f822(f318(x80221),f434(x80222,x80223,x80221)),x80222))
% 218.59/218.71 [8024]~P144(f822(f822(f318(x80241),x80243),f36(f892(x80241,a882),x80242)))+P144(f822(f822(f318(f892(x80241,a882)),f651(x80242,x80243,x80241)),x80242))
% 218.59/218.71 [8200]~P144(f822(f822(f318(x82001),x82002),f822(f164(x82001),f776(x82003,x82002,x82001))))+~P144(f822(f822(f318(x82001),x82002),f822(f164(x82001),x82003)))
% 218.59/218.71 [8201]~P144(f822(f822(f318(x82011),x82012),f822(f164(x82011),f779(x82013,x82012,x82011))))+~P144(f822(f822(f318(x82011),x82012),f822(f164(x82011),x82013)))
% 218.59/218.71 [8388]E(x83881,f108(x83882))+P144(f822(f822(f318(x83882),f822(f242(x83882,f891(a94,a94)),f822(f264(x83882,x83881),x83883))),f822(f164(x83882),x83881)))
% 218.59/218.71 [8482]~P3(x84821)+E(f822(f134(x84821,x84821,f822(f9(x84821,x84821,x84821),f79(x84821)),x84822),f822(f160(x84821),x84823)),f822(f134(x84821,x84821,f79(x84821),x84822),x84823))
% 218.59/218.71 [8964]~P92(x89641)+E(f822(f164(x89641),f141(x89641,x89641,f7(x89641),x89642,x89643)),f822(f822(f298(x89641),x89642),f822(f164(x89641),x89643)))
% 218.59/218.71 [8974]P144(f822(f822(f227(a885),f2(a885)),f607(x89741,x89742,x89743)))+~P144(f822(f822(f318(f891(x89743,x89743)),x89742),f822(f822(f278(x89743,x89743,x89743),x89741),f296(x89743,x89741))))
% 218.59/218.71 [9257]~P59(x92571,x92572)+~P144(f822(f822(f318(f891(x92571,x92571)),f822(f822(f243(x92571,x92571),x92573),x92573)),f822(f822(f278(x92571,x92571,x92571),x92572),f296(x92571,x92572))))
% 218.59/218.71 [9387]~E(f822(f822(f97(f892(f891(x93871,x93871),a882)),f822(f275(x93871,x93871),x93872)),f296(x93871,x93872)),f182(f892(f891(x93871,x93871),a882)))+~P144(f822(f822(f318(f891(x93871,x93871)),f822(f822(f243(x93871,x93871),x93873),x93873)),f822(f822(f278(x93871,x93871,x93871),x93872),f296(x93871,x93872))))
% 218.59/218.71 [9573]~P144(f822(f60(x95731),x95732))+P144(f822(f822(f226(a885),f822(f34(x95731),f822(f822(f3(f892(x95731,a882)),x95732),f822(f822(f298(x95731),x95733),f182(f892(x95731,a882)))))),f822(f34(x95731),x95732)))
% 218.59/218.71 [5041]~E(x50413,f108(x50411))+E(f136(x50411,f822(f822(f143(x50411),x50412),x50413)),x50412)
% 218.59/218.71 [5050]~E(x50503,f108(x50501))+E(f109(x50501,f822(f822(f143(x50501),x50502),x50503)),f108(x50501))
% 218.59/218.71 [5081]E(x50811,f108(x50812))+E(f136(x50812,f822(f822(f143(x50812),x50813),x50811)),f136(x50812,x50811))
% 218.59/218.71 [5083]E(x50831,f108(x50832))+E(f136(x50832,f822(f822(f126(x50832),x50833),x50831)),f136(x50832,x50831))
% 218.59/218.71 [5090]~E(x50903,f108(x50901))+E(f136(x50901,f822(f822(f126(x50901),x50902),x50903)),f136(x50901,x50902))
% 218.59/218.71 [5091]~E(x50913,f108(x50911))+E(f109(x50911,f822(f822(f126(x50911),x50912),x50913)),f109(x50911,x50912))
% 218.59/218.71 [5124]E(x51241,f108(x51242))+E(f822(f133(x51242),f822(f822(f126(x51242),x51241),x51243)),f822(f133(x51242),x51241))
% 218.59/218.71 [5152]~E(x51522,f108(x51521))+E(f822(f133(x51521),f822(f822(f126(x51521),x51522),x51523)),f822(f133(x51521),x51523))
% 218.59/218.71 [5204]~P92(x52041)+E(f822(f822(f230(x52041),x52042),f822(f822(f181(x52041),x52042),x52043)),x52042)
% 218.59/218.71 [5205]~P92(x52051)+E(f822(f822(f181(x52051),x52052),f822(f822(f230(x52051),x52052),x52053)),x52052)
% 218.59/218.71 [5206]~P100(x52061)+E(f822(f822(f96(x52061),x52062),f822(f822(f97(x52061),x52062),x52063)),x52062)
% 218.59/218.71 [5207]~P100(x52071)+E(f822(f822(f97(x52071),x52072),f822(f822(f96(x52071),x52072),x52073)),x52072)
% 218.59/218.71 [5226]~P5(x52261)+E(f44(x52261,f822(f822(f80(x52261),x52262),x52263),x52263),f2(x52261))
% 218.59/218.71 [5227]~P5(x52271)+E(f44(x52271,f822(f822(f80(x52271),x52272),x52273),x52272),f2(x52271))
% 218.59/218.71 [5303]~P4(x53031)+E(f822(f78(x53031),f822(f822(f3(x53031),x53032),x53033)),f822(f822(f3(x53031),x53033),x53032))
% 218.59/218.71 [5366]E(x53661,f108(x53662))+E(f109(x53662,f822(f822(f143(x53662),x53663),x53661)),f822(f822(f143(x53662),x53663),f109(x53662,x53661)))
% 218.59/218.71 [5367]E(x53671,f108(x53672))+E(f109(x53672,f822(f822(f126(x53672),x53673),x53671)),f822(f822(f126(x53672),x53673),f109(x53672,x53671)))
% 218.59/218.71 [5370]~P7(x53701)+E(f37(x53701,f822(f822(f298(x53701),x53702),x53703)),f822(f822(f97(x53701),x53702),f37(x53701,x53703)))
% 218.59/218.71 [5371]~P7(x53711)+E(f36(x53711,f822(f822(f298(x53711),x53712),x53713)),f822(f822(f96(x53711),x53712),f36(x53711,x53713)))
% 218.59/218.71 [5415]~P98(x54151)+E(f822(f822(f80(x54151),x54152),f822(f822(f80(x54151),x54152),x54153)),f822(f822(f80(x54151),x54152),x54153))
% 218.59/218.71 [5417]~P92(x54171)+E(f822(f822(f230(x54171),x54172),f822(f822(f230(x54171),x54172),x54173)),f822(f822(f230(x54171),x54172),x54173))
% 218.59/218.71 [5419]~P92(x54191)+E(f822(f822(f181(x54191),x54192),f822(f822(f181(x54191),x54192),x54193)),f822(f822(f181(x54191),x54192),x54193))
% 218.59/218.71 [5421]~P99(x54211)+E(f822(f822(f96(x54211),x54212),f822(f822(f96(x54211),x54212),x54213)),f822(f822(f96(x54211),x54212),x54213))
% 218.59/218.71 [5422]~P100(x54221)+E(f822(f822(f96(x54221),x54222),f822(f822(f96(x54221),x54222),x54223)),f822(f822(f96(x54221),x54222),x54223))
% 218.59/218.71 [5423]~P100(x54231)+E(f822(f822(f97(x54231),x54232),f822(f822(f97(x54231),x54232),x54233)),f822(f822(f97(x54231),x54232),x54233))
% 218.59/218.71 [5425]~P105(x54251)+E(f822(f822(f97(x54251),x54252),f822(f822(f97(x54251),x54252),x54253)),f822(f822(f97(x54251),x54252),x54253))
% 218.59/218.71 [5433]~P5(x54331)+E(f44(x54331,f822(f822(f79(x54331),x54332),x54333),x54333),f44(x54331,x54332,x54333))
% 218.59/218.71 [5434]~P5(x54341)+E(f44(x54341,f822(f822(f79(x54341),x54342),x54343),x54342),f44(x54341,x54343,x54342))
% 218.59/218.71 [5443]~P128(x54431)+E(f822(f822(f80(x54431),x54432),f822(f78(x54431),x54433)),f822(f78(x54431),f822(f822(f80(x54431),x54432),x54433)))
% 218.59/218.71 [5444]~P64(x54441)+E(f822(f822(f280(x54441),x54442),f822(f78(x54441),x54443)),f822(f78(x54441),f822(f822(f280(x54441),x54442),x54443)))
% 218.59/218.71 [5445]~P73(x54451)+E(f822(f822(f79(x54451),x54452),f822(f157(x54451),x54453)),f822(f157(x54451),f822(f822(f143(x54451),x54452),x54453)))
% 218.59/218.71 [5473]~P128(x54731)+E(f822(f822(f80(x54731),f822(f78(x54731),x54732)),x54733),f822(f822(f80(x54731),x54732),f822(f78(x54731),x54733)))
% 218.59/218.71 [5479]~P10(x54791,x54792,x54793)+E(f36(f892(x54791,a882),f822(f822(f59(x54791),x54792),x54793)),x54792)
% 218.59/218.71 [5545]~P115(x55451)+E(f822(f822(f80(x55451),x55452),f822(f822(f235(x55451),x55452),x55453)),f822(f822(f235(x55451),x55452),f822(a107,x55453)))
% 218.59/218.71 [5546]~P112(x55461)+E(f822(f822(f80(x55461),x55462),f822(f822(f235(x55461),x55462),x55463)),f822(f822(f235(x55461),x55462),f822(a107,x55463)))
% 218.59/218.71 [5556]~P75(x55561)+E(f822(f822(f79(x55561),f822(f78(x55561),x55562)),f822(f822(f79(x55561),x55562),x55563)),x55563)
% 218.59/218.71 [5579]~P1(x55791)+E(f822(f822(f235(x55791),f822(f95(x55791),x55792)),x55793),f822(f95(x55791),f822(f822(f235(a885),x55792),x55793)))
% 218.59/218.71 [5580]~P127(x55801)+E(f822(f822(f235(x55801),f822(f98(x55801),x55802)),x55803),f822(f98(x55801),f822(f822(f235(a1),x55802),x55803)))
% 218.59/218.71 [5586]~P84(x55861)+E(f822(f75(x55861),f822(f822(f3(x55861),x55862),x55863)),f822(f75(x55861),f822(f822(f3(x55861),x55863),x55862)))
% 218.59/218.71 [5588]~P111(x55881)+E(f822(f822(f80(x55881),f81(x55881,x55882)),f81(x55881,x55883)),f81(x55881,f822(f822(f80(x55881),x55882),x55883)))
% 218.59/218.71 [5592]E(x55921,f108(x55922))+E(f822(f822(f126(x55922),f822(f163(x55922),x55921)),x55923),f822(f163(x55922),f822(f822(f126(x55922),x55921),x55923)))
% 218.59/218.71 [5598]~E(x55982,f822(a107,f822(f822(f79(a885),x55981),x55983)))+P144(f822(f822(f227(a885),x55981),x55982))
% 218.59/218.71 [5599]~P128(x55991)+E(f822(f822(f80(x55991),f822(f78(x55991),x55992)),x55993),f822(f78(x55991),f822(f822(f80(x55991),x55992),x55993)))
% 218.59/218.71 [5600]~P121(x56001)+E(f822(f822(f280(x56001),f822(f78(x56001),x56002)),x56003),f822(f78(x56001),f822(f822(f280(x56001),x56002),x56003)))
% 218.59/218.71 [5601]~P111(x56011)+E(f822(f822(f235(x56011),f822(f75(x56011),x56012)),x56013),f822(f75(x56011),f822(f822(f235(x56011),x56012),x56013)))
% 218.59/218.71 [5700]E(f457(x57001,x57002,x57003),f460(x57001,x57002,x57003))+E(f822(f822(f97(f892(x57003,a882)),x57002),x57001),f182(f892(x57003,a882)))
% 218.59/218.71 [5715]~P72(x57152)+E(f822(f822(f8(x57151,x57152),f822(f18(x57152,x57151),f2(x57152))),x57153),f2(x57152))
% 218.59/218.71 [5716]~P76(x57162)+E(f822(f822(f11(x57161,x57162),f822(f18(x57162,x57161),f77(x57162))),x57163),f77(x57162))
% 218.59/218.71 [5718]~P1(x57181)+E(f822(f822(f79(x57181),f822(f95(x57181),x57182)),f822(f95(x57181),x57183)),f822(f95(x57181),f822(f822(f79(a885),x57182),x57183)))
% 218.59/218.71 [5719]~P1(x57191)+E(f822(f822(f80(x57191),f822(f95(x57191),x57192)),f822(f95(x57191),x57193)),f822(f95(x57191),f822(f822(f80(a885),x57192),x57193)))
% 218.59/218.71 [5720]~P127(x57201)+E(f822(f822(f79(x57201),f822(f98(x57201),x57202)),f822(f98(x57201),x57203)),f822(f98(x57201),f822(f822(f79(a1),x57202),x57203)))
% 218.59/218.71 [5721]~P127(x57211)+E(f822(f822(f80(x57211),f822(f98(x57211),x57212)),f822(f98(x57211),x57213)),f822(f98(x57211),f822(f822(f80(a1),x57212),x57213)))
% 218.59/218.71 [5722]~P127(x57221)+E(f822(f822(f3(x57221),f822(f98(x57221),x57222)),f822(f98(x57221),x57223)),f822(f98(x57221),f822(f822(f3(a1),x57222),x57223)))
% 218.59/218.71 [5725]~P96(x57251)+E(f822(f822(f3(x57251),f822(f99(x57251),x57252)),f822(f99(x57251),x57253)),f822(f99(x57251),f822(f822(f3(a1),x57252),x57253)))
% 218.59/218.71 [5726]~P96(x57261)+E(f822(f822(f79(x57261),f822(f99(x57261),x57262)),f822(f99(x57261),x57263)),f822(f99(x57261),f822(f822(f79(a1),x57262),x57263)))
% 218.59/218.71 [5727]~P96(x57271)+E(f822(f822(f80(x57271),f822(f99(x57271),x57272)),f822(f99(x57271),x57273)),f822(f99(x57271),f822(f822(f80(a1),x57272),x57273)))
% 218.59/218.71 [5775]~E(x57753,x57752)+P144(f822(f822(f226(f892(x57751,a882)),x57752),x57753))
% 218.59/218.71 [5781]~E(x57812,x57813)+P144(f822(f822(f226(f892(x57811,a882)),x57812),x57813))
% 218.59/218.71 [5786]~P75(x57861)+E(f822(f822(f79(x57861),f822(f78(x57861),x57862)),f822(f78(x57861),x57863)),f822(f78(x57861),f822(f822(f79(x57861),x57863),x57862)))
% 218.59/218.71 [5787]~P4(x57871)+E(f822(f822(f79(x57871),f822(f78(x57871),x57872)),f822(f78(x57871),x57873)),f822(f78(x57871),f822(f822(f79(x57871),x57872),x57873)))
% 218.59/218.71 [5788]~P74(x57881)+E(f822(f822(f181(x57881),f822(f78(x57881),x57882)),f822(f78(x57881),x57883)),f822(f78(x57881),f822(f822(f230(x57881),x57882),x57883)))
% 218.59/218.71 [5789]~P74(x57891)+E(f822(f822(f230(x57891),f822(f78(x57891),x57892)),f822(f78(x57891),x57893)),f822(f78(x57891),f822(f822(f181(x57891),x57892),x57893)))
% 218.59/218.71 [5790]~P97(x57901)+E(f822(f822(f97(x57901),f822(f78(x57901),x57902)),f822(f78(x57901),x57903)),f822(f78(x57901),f822(f822(f96(x57901),x57902),x57903)))
% 218.59/218.71 [5791]~P97(x57911)+E(f822(f822(f96(x57911),f822(f78(x57911),x57912)),f822(f78(x57911),x57913)),f822(f78(x57911),f822(f822(f97(x57911),x57912),x57913)))
% 218.59/218.71 [5792]~P111(x57921)+E(f822(f822(f80(x57921),f822(f75(x57921),x57922)),f822(f75(x57921),x57923)),f822(f75(x57921),f822(f822(f80(x57921),x57922),x57923)))
% 218.59/218.71 [5793]~P66(x57931)+E(f822(f822(f280(x57931),f822(f75(x57931),x57932)),f822(f75(x57931),x57933)),f822(f75(x57931),f822(f822(f280(x57931),x57932),x57933)))
% 218.59/218.71 [5794]~P73(x57941)+E(f822(f822(f79(x57941),f822(f157(x57941),x57942)),f822(f157(x57941),x57943)),f822(f157(x57941),f822(f822(f126(x57941),x57942),x57943)))
% 218.59/218.71 [5795]E(x57951,f182(f892(x57952,a882)))+~E(f822(f822(f96(f892(x57952,a882)),x57953),x57951),f182(f892(x57952,a882)))
% 218.59/218.71 [5796]E(x57961,f182(f892(x57962,a882)))+~E(f822(f822(f96(f892(x57962,a882)),x57961),x57963),f182(f892(x57962,a882)))
% 218.59/218.71 [5797]~P148(x57971,x57973,x57972)+P144(f822(x57971,f822(f822(f35(a1),x57972),x57973)))
% 218.59/218.71 [5863]~P144(f822(f60(x58631),x58633))+P144(f822(f60(x58631),f822(f822(f298(x58631),x58632),x58633)))
% 218.59/218.71 [5864]~P144(f822(f129(x58641),x58643))+P144(f822(f129(x58641),f822(f822(f167(x58641),x58642),x58643)))
% 218.59/218.71 [5865]~P144(f822(f129(x58651),x58653))+P144(f822(f129(x58651),f822(f822(f130(x58651),x58652),x58653)))
% 218.59/218.71 [5896]~P92(x58961)+P144(f822(f822(f226(x58961),x58962),f822(f822(f181(x58961),x58963),x58962)))
% 218.59/218.71 [5897]~P92(x58971)+P144(f822(f822(f226(x58971),x58972),f822(f822(f181(x58971),x58972),x58973)))
% 218.59/218.71 [5898]~P99(x58981)+P144(f822(f822(f226(x58981),x58982),f822(f822(f96(x58981),x58983),x58982)))
% 218.59/218.71 [5899]~P100(x58991)+P144(f822(f822(f226(x58991),x58992),f822(f822(f96(x58991),x58993),x58992)))
% 218.59/218.71 [5900]~P99(x59001)+P144(f822(f822(f226(x59001),x59002),f822(f822(f96(x59001),x59002),x59003)))
% 218.59/218.71 [5901]~P100(x59011)+P144(f822(f822(f226(x59011),x59012),f822(f822(f96(x59011),x59012),x59013)))
% 218.59/218.71 [5902]~P112(x59021)+P144(f822(f822(f276(x59021),x59022),f822(f822(f80(x59021),x59023),x59022)))
% 218.59/218.71 [5903]~P112(x59031)+P144(f822(f822(f276(x59031),x59032),f822(f822(f80(x59031),x59032),x59033)))
% 218.59/218.71 [5916]~E(x59161,f2(a885))+E(f822(f822(f35(a885),f822(f822(f80(a885),x59161),x59162)),f822(f822(f80(a885),x59161),x59163)),f2(a885))
% 218.59/218.71 [5999]~P96(x59991)+E(f822(f822(f3(x59991),f822(f99(x59991),x59992)),f822(f99(x59991),x59993)),f822(f99(x59991),f822(f822(f79(a1),x59992),f822(f78(a1),x59993))))
% 218.59/218.71 [6059]E(x60591,f2(a885))+E(f822(f822(f35(a885),f822(f822(f80(a885),x60591),x60592)),f822(f822(f80(a885),x60591),x60593)),f822(f822(f35(a885),x60592),x60593))
% 218.59/218.71 [6091]E(f144(x60911,f822(f822(f143(x60911),x60912),x60913)),f822(f822(f143(x60911),x60912),f144(x60911,x60913)))+P144(f822(f822(f318(x60911),x60912),f822(f164(x60911),x60913)))
% 218.59/218.71 [6127]P148(x61271,x61272,x61273)+~P144(f822(x61271,f822(f822(f35(a1),x61273),x61272)))
% 218.59/218.71 [6205]E(x62051,f108(x62052))+E(f822(f822(f143(x62052),f822(f133(x62052),x62051)),f822(f822(f167(x62052),x62053),f822(f163(x62052),x62051))),f822(f822(f167(x62052),f822(a107,x62053)),x62051))
% 218.59/218.71 [6214]E(f822(f822(f3(f892(x62141,a882)),x62142),x62143),x62142)+~E(f822(f822(f97(f892(x62141,a882)),x62142),x62143),f182(f892(x62141,a882)))
% 218.59/218.71 [6228]E(f144(x62281,f822(f822(f143(x62281),x62282),x62283)),f144(x62281,x62283))+~P144(f822(f822(f318(x62281),x62282),f822(f164(x62281),x62283)))
% 218.59/218.71 [6258]~P144(f822(f822(f227(a885),x62581),x62583))+P144(f822(f822(f227(a885),x62581),f822(f822(f79(a885),x62582),x62583)))
% 218.59/218.71 [6260]~P144(f822(f822(f227(a885),x62601),x62602))+P144(f822(f822(f227(a885),x62601),f822(f822(f79(a885),x62602),x62603)))
% 218.59/218.71 [6262]~P144(f822(f822(f226(a885),x62621),x62623))+P144(f822(f822(f226(a885),x62621),f822(f822(f79(a885),x62622),x62623)))
% 218.59/218.71 [6264]~P144(f822(f822(f226(a885),x62641),x62642))+P144(f822(f822(f226(a885),x62641),f822(f822(f79(a885),x62642),x62643)))
% 218.59/218.71 [6304]P144(f822(f60(x63041),x63042))+~P144(f822(f60(x63041),f822(f822(f298(x63041),x63043),x63042)))
% 218.59/218.71 [6305]P144(f822(f129(x63051),x63052))+~P144(f822(f129(x63051),f822(f822(f143(x63051),x63053),x63052)))
% 218.59/218.71 [6306]P144(f822(f129(x63061),x63062))+~P144(f822(f129(x63061),f822(f822(f126(x63061),x63063),x63062)))
% 218.59/218.71 [6307]P144(f822(f129(x63071),x63072))+~P144(f822(f129(x63071),f822(f822(f126(x63071),x63072),x63073)))
% 218.59/218.71 [6359]~E(f44(a1,x63592,x63591),f44(a1,x63593,x63591))+P144(f822(f822(f276(a1),x63591),f822(f822(f3(a1),x63592),x63593)))
% 218.59/218.71 [6364]~P112(x63641)+E(f822(f822(f79(x63641),x63642),f822(f822(f80(x63641),x63643),x63642)),f822(f822(f80(x63641),f822(f822(f79(x63641),x63643),f77(x63641))),x63642))
% 218.59/218.71 [6413]~E(x64131,x64132)+~P144(f822(f822(f227(f892(x64133,a882)),x64131),x64132))
% 218.59/218.71 [6462]P144(f822(f822(f318(x64621),x64622),x64623))+P144(f822(f822(f318(x64621),x64622),f822(f78(f892(x64621,a882)),x64623)))
% 218.59/218.71 [6469]E(f136(x64691,f822(f822(f130(x64691),x64692),x64693)),f136(x64691,x64693))+~P144(f822(f822(f227(a885),x64692),f822(f183(f887(x64691)),x64693)))
% 218.59/218.71 [6470]E(f822(f822(f167(x64701),x64702),f109(x64701,x64703)),f822(f822(f167(x64701),x64702),x64703))+~P144(f822(f822(f227(a885),x64702),f822(f183(f887(x64701)),x64703)))
% 218.59/218.71 [6530]E(f822(f822(f822(f175(f887(x65301),f887(x65301)),x65302),f159(x65301)),x65303),x65303)+~E(f44(a885,x65302,f822(f183(f887(x65301)),x65303)),f2(a885))
% 218.59/218.71 [6537]~P10(x65371,x65373,x65372)+E(f822(f822(f278(x65371,x65371,x65371),f822(f275(x65371,x65371),x65372)),x65372),x65372)
% 218.59/218.71 [6581]~E(f822(f822(f96(f892(x65811,a882)),x65812),x65813),x65813)+P144(f822(f822(f226(f892(x65811,a882)),x65812),x65813))
% 218.59/218.71 [6586]~P56(x65861,x65861,x65863)+P56(x65861,x65861,f822(f822(f175(f891(x65861,x65861),a882),x65862),x65863))
% 218.59/218.71 [6589]~P144(f822(f822(f318(x65891),x65893),f822(f164(x65891),x65892)))+P144(f822(f822(f227(a885),f2(a885)),f822(f183(f887(x65891)),x65892)))
% 218.59/218.71 [6617]~P84(x66171)+E(f822(f75(x66171),f822(f822(f79(x66171),f822(f75(x66171),x66172)),f822(f75(x66171),x66173))),f822(f822(f79(x66171),f822(f75(x66171),x66172)),f822(f75(x66171),x66173)))
% 218.59/218.71 [6628]E(f822(f822(f35(a885),f822(f822(f80(a885),x66281),x66282)),f822(f822(f80(a885),x66281),x66283)),f822(f822(f35(a885),x66282),x66283))+~P144(f822(f822(f227(a885),f2(a885)),x66281))
% 218.59/218.71 [6658]E(f44(a1,x66581,x66582),f44(a1,x66583,x66582))+~P144(f822(f822(f276(a1),x66582),f822(f822(f3(a1),x66581),x66583)))
% 218.59/218.71 [6775]~P144(f822(f60(x67751),x67753))+E(f822(f822(f63(x67751,f892(x67751,a882),f298(x67751)),x67752),x67753),f822(f822(f96(f892(x67751,a882)),x67753),x67752))
% 218.59/218.71 [6835]E(f822(f822(f96(f892(x68351,a882)),x68352),x68353),x68352)+~P144(f822(f822(f226(f892(x68351,a882)),x68353),x68352))
% 218.59/218.71 [6837]E(f822(f822(f96(f892(x68371,a882)),x68372),x68373),x68373)+~P144(f822(f822(f226(f892(x68371,a882)),x68372),x68373))
% 218.59/218.71 [6838]E(f822(f822(f97(f892(x68381,a882)),x68382),x68383),x68383)+~P144(f822(f822(f226(f892(x68381,a882)),x68383),x68382))
% 218.59/218.71 [6839]E(f822(f822(f97(f892(x68391,a882)),x68392),x68393),x68392)+~P144(f822(f822(f226(f892(x68391,a882)),x68392),x68393))
% 218.59/218.71 [6890]~P144(f822(f129(x68901),x68902))+E(f822(f822(f3(f892(x68901,a882)),f822(f164(x68901),x68902)),f822(f822(f298(x68901),x68903),f182(f892(x68901,a882)))),f822(f164(x68901),f162(x68901,x68903,x68902)))
% 218.59/218.71 [6947]P36(x69471,x69472)+~P36(x69471,f822(f822(f175(f891(x69471,x69471),a882),x69473),x69472))
% 218.59/218.71 [6965]~E(x69651,f2(a885))+P144(f822(f822(f276(a885),f822(f822(f80(a885),x69651),x69652)),f822(f822(f80(a885),x69651),x69653)))
% 218.59/218.71 [6985]~E(f44(a885,x69853,x69852),x69851)+E(f822(f822(f79(a885),x69851),f822(f822(f80(a885),f864(x69851,x69852,x69853)),x69852)),x69853)
% 218.59/218.71 [7018]P144(f822(f48(x70181,x70182),f822(a50,x70183)))+~P144(f822(f48(f822(f78(a1),x70181),f822(f78(a1),x70182)),x70183))
% 218.59/218.71 [7023]E(f822(f822(f3(f892(x70231,a882)),f822(f822(f298(x70231),x70232),x70233)),f822(f822(f298(x70231),x70232),f182(f892(x70231,a882)))),x70233)+P144(f822(f822(f318(x70231),x70232),x70233))
% 218.59/218.71 [7045]E(f822(f822(f97(f892(x70451,a882)),f822(f164(x70451),x70452)),f822(f164(x70451),x70453)),f182(f892(x70451,a882)))+~P144(f822(f129(x70451),f822(f822(f126(x70451),x70452),x70453)))
% 218.59/218.71 [7061]~P144(f822(f822(f318(x70611),x70612),f822(f164(x70611),x70613)))+~P144(f822(f129(x70611),f822(f822(f143(x70611),x70612),x70613)))
% 218.59/218.71 [7132]P30(x71321,x71322,x71323)+P144(f822(f822(f227(a885),f774(x71323,x71322,x71321)),f822(f183(f887(x71321)),x71323)))
% 218.59/218.71 [7142]E(f822(f822(f97(f892(x71421,a882)),x71422),x71423),f182(f892(x71421,a882)))+P144(f822(f822(f318(x71421),f457(x71423,x71422,x71421)),x71422))
% 218.59/218.71 [7143]E(f822(f822(f97(f892(x71431,a882)),x71432),x71433),f182(f892(x71431,a882)))+P144(f822(f822(f318(x71431),f460(x71433,x71432,x71431)),x71433))
% 218.59/218.71 [7146]E(f109(x71461,f822(f822(f167(x71461),x71462),x71463)),f822(f822(f167(x71461),f822(f822(f3(a885),x71462),f77(a885))),x71463))+~P144(f822(f822(f226(a885),x71462),f822(f183(f887(x71461)),x71463)))
% 218.59/218.71 [7207]~P32(x72073,x72072,x72071)+P144(f822(f822(f227(a885),f771(x72071,x72072,x72073)),f822(f183(f887(x72073)),x72071)))
% 218.59/218.71 [7228]P144(f822(f822(f227(a885),f2(a885)),x72281))+P144(f822(f822(f226(a885),f822(f822(f80(a885),x72282),x72281)),f822(f822(f80(a885),x72283),x72281)))
% 218.59/218.71 [7229]P144(f822(f822(f227(a885),f2(a885)),x72291))+P144(f822(f822(f226(a885),f822(f822(f80(a885),x72291),x72292)),f822(f822(f80(a885),x72291),x72293)))
% 218.59/218.71 [7232]~P144(f822(f822(f318(x72321),x72322),x72323))+~P144(f822(f822(f318(x72321),x72322),f822(f78(f892(x72321,a882)),x72323)))
% 218.59/218.71 [7238]~P144(f822(f822(f227(f892(x72381,a882)),x72382),x72383))+P144(f822(f822(f226(f892(x72381,a882)),x72382),x72383))
% 218.59/218.71 [7348]~P144(f822(f822(f227(a885),x73482),x73483))+P144(f822(f822(f227(a885),f822(f822(f79(a885),x73481),x73482)),f822(f822(f79(a885),x73481),x73483)))
% 218.59/218.71 [7349]~P144(f822(f822(f227(a885),x73491),x73493))+P144(f822(f822(f227(a885),f822(f822(f79(a885),x73491),x73492)),f822(f822(f79(a885),x73493),x73492)))
% 218.59/218.71 [7350]~P144(f822(f822(f227(a1),x73501),x73503))+P144(f822(f822(f227(a1),f822(f822(f79(a1),x73501),x73502)),f822(f822(f79(a1),x73503),x73502)))
% 218.59/218.71 [7353]~P144(f822(f822(f226(a885),x73532),x73533))+P144(f822(f822(f226(a885),f822(f822(f79(a885),x73531),x73532)),f822(f822(f79(a885),x73531),x73533)))
% 218.59/218.71 [7354]~P144(f822(f822(f226(a885),x73541),x73543))+P144(f822(f822(f226(a885),f822(f822(f79(a885),x73541),x73542)),f822(f822(f79(a885),x73543),x73542)))
% 218.59/218.71 [7356]~P144(f822(f822(f226(a885),x73562),x73563))+P144(f822(f822(f226(a885),f822(f822(f80(a885),x73561),x73562)),f822(f822(f80(a885),x73561),x73563)))
% 218.59/218.71 [7358]~P144(f822(f822(f226(a885),x73581),x73583))+P144(f822(f822(f226(a885),f822(f822(f80(a885),x73581),x73582)),f822(f822(f80(a885),x73583),x73582)))
% 218.59/218.71 [7359]~P144(f822(f822(f226(a885),x73591),x73593))+P144(f822(f822(f226(a885),f822(f822(f35(a885),x73591),x73592)),f822(f822(f35(a885),x73593),x73592)))
% 218.59/218.71 [7360]~P144(f822(f822(f226(a885),x73603),x73602))+P144(f822(f822(f226(a885),f822(f822(f3(a885),x73601),x73602)),f822(f822(f3(a885),x73601),x73603)))
% 218.59/218.71 [7361]~P144(f822(f822(f226(a885),x73611),x73613))+P144(f822(f822(f226(a885),f822(f822(f3(a885),x73611),x73612)),f822(f822(f3(a885),x73613),x73612)))
% 218.59/218.71 [7362]~P144(f822(f822(f226(a1),x73622),x73623))+P144(f822(f822(f226(a1),f822(f822(f79(a1),x73621),x73622)),f822(f822(f79(a1),x73621),x73623)))
% 218.59/218.71 [7365]~P144(f822(f822(f276(a885),x73652),x73653))+P144(f822(f822(f276(a885),f822(f822(f80(a885),x73651),x73652)),f822(f822(f80(a885),x73651),x73653)))
% 218.59/218.71 [7450]E(x74501,x74502)+~P144(f822(f822(f318(x74503),x74501),f822(f822(f298(x74503),x74502),f182(f892(x74503,a882)))))
% 218.59/218.71 [7452]~E(f822(f822(f97(f892(x74521,a882)),x74522),x74523),f182(f892(x74521,a882)))+P144(f822(f822(f226(f892(x74521,a882)),x74522),f822(f78(f892(x74521,a882)),x74523)))
% 218.59/218.71 [7457]P144(f822(f822(f318(f892(x74571,a882)),x74572),f822(f297(x74571),x74573)))+~P144(f822(f822(f226(f892(x74571,a882)),x74572),x74573))
% 218.59/218.71 [7511]E(f822(f822(f143(x75111),f822(f822(f156(x75111),x75112),x75113)),f822(f822(f130(x75111),f822(a107,x75113)),x75112)),f822(f822(f130(x75111),x75113),x75112))+~P144(f822(f822(f227(a885),x75113),f822(f183(f887(x75111)),x75112)))
% 218.59/218.71 [7540]P144(f822(f822(f318(f891(x75401,x75401)),x75402),f296(x75401,x75403)))+~P144(f822(f822(f318(f891(x75401,x75401)),x75402),x75403))
% 218.59/218.71 [7549]~P144(f822(f822(f318(f892(x75491,a882)),x75492),f822(f297(x75491),x75493)))+P144(f822(f822(f226(f892(x75491,a882)),x75492),x75493))
% 218.59/218.71 [7595]P144(f822(f822(f226(f892(x75951,a882)),x75952),f36(f892(x75951,a882),x75953)))+~P144(f822(f822(f318(f892(x75951,a882)),x75952),x75953))
% 218.59/218.71 [7620]~P127(x76201)+E(f822(f822(f80(x76201),f822(f822(f235(x76201),f822(f78(x76201),f77(x76201))),x76202)),f822(f822(f235(x76201),x76203),x76202)),f822(f822(f235(x76201),f822(f78(x76201),x76203)),x76202))
% 218.59/218.71 [7642]E(f822(f822(f156(x76421),x76422),f822(f822(f3(a885),f822(f183(f887(x76421)),x76422)),f822(a107,x76423))),f822(f822(f156(x76421),f822(f160(x76421),x76422)),x76423))+~P144(f822(f822(f227(a885),x76423),f822(f183(f887(x76421)),x76422)))
% 218.59/218.71 [7659]~E(f822(f822(f97(f892(x76591,a882)),f619(x76593,x76592,x76591)),x76593),f182(f892(x76591,a882)))+E(f822(f822(f97(f892(x76591,a882)),f36(f892(x76591,a882),x76592)),x76593),f182(f892(x76591,a882)))
% 218.59/218.71 [7723]~P144(f822(f822(f318(x77233),x77232),f822(f164(x77233),x77231)))+P144(f822(f822(f227(a885),f675(x77231,x77232,x77233)),f822(f183(f887(x77233)),x77231)))
% 218.59/218.71 [7731]P144(f822(f822(f318(x77311),f822(f822(f156(x77311),x77312),x77313)),f822(f164(x77311),x77312)))+~P144(f822(f822(f227(a885),x77313),f822(f183(f887(x77311)),x77312)))
% 218.59/218.71 [7829]~P144(f822(x78292,f732(x78293,x78292,x78291)))+E(f822(f822(f130(x78291),f822(f183(f887(x78291)),f169(x78291,x78292,x78293))),x78293),f108(x78291))
% 218.59/218.71 [7842]P144(f822(f822(f226(f892(f887(x78421),a882)),f153(x78421,x78422)),f153(x78421,x78423)))+~P144(f822(f822(f226(f892(x78421,a882)),x78422),x78423))
% 218.59/218.71 [7843]P144(f822(f822(f226(f892(f887(x78431),a882)),f152(x78431,x78432)),f152(x78431,x78433)))+~P144(f822(f822(f226(f892(x78431,a882)),x78432),x78433))
% 218.59/218.71 [7869]E(f822(f822(f97(f892(x78691,a882)),f36(f892(x78691,a882),x78692)),x78693),f182(f892(x78691,a882)))+P144(f822(f822(f318(f892(x78691,a882)),f619(x78693,x78692,x78691)),x78692))
% 218.59/218.71 [7871]~P144(f822(f822(f318(f892(x78711,a882)),x78713),x78712))+P144(f822(f822(f226(f892(x78711,a882)),f37(f892(x78711,a882),x78712)),x78713))
% 218.59/218.71 [7873]E(f822(f822(f97(f892(x78731,a882)),x78732),x78733),f182(f892(x78731,a882)))+~P144(f822(f822(f226(f892(x78731,a882)),x78732),f822(f78(f892(x78731,a882)),x78733)))
% 218.59/218.71 [7927]E(f822(f822(f3(a885),f822(f822(f79(a885),f822(f157(a885),x79271)),x79272)),f822(f822(f156(a885),x79271),x79273)),f822(f157(a885),f822(f822(f151(a885,x79271),x79273),x79272)))+~P144(f822(f822(f227(a885),x79273),f822(f183(f887(a885)),x79271)))
% 218.59/218.71 [7977]P144(f822(f822(f227(a885),x79771),x79772))+~P144(f822(f822(f227(a885),f822(f822(f79(a885),x79773),x79771)),f822(f822(f79(a885),x79773),x79772)))
% 218.59/218.71 [7978]P144(f822(f822(f227(a885),x79781),x79782))+~P144(f822(f822(f227(a885),f822(f822(f80(a885),x79783),x79781)),f822(f822(f80(a885),x79783),x79782)))
% 218.59/218.71 [7979]P144(f822(f822(f227(a885),x79791),x79792))+~P144(f822(f822(f227(a885),f822(f822(f80(a885),x79791),x79793)),f822(f822(f80(a885),x79792),x79793)))
% 218.59/218.71 [7982]P144(f822(f822(f226(a885),x79821),x79822))+~P144(f822(f822(f226(a885),f822(f822(f79(a885),x79823),x79821)),f822(f822(f79(a885),x79823),x79822)))
% 218.59/218.71 [8014]P144(f822(f822(f227(a885),f2(a885)),x80141))+~P144(f822(f822(f227(a885),f822(f822(f80(a885),x80142),x80141)),f822(f822(f80(a885),x80143),x80141)))
% 218.59/218.71 [8015]P144(f822(f822(f227(a885),f2(a885)),x80151))+~P144(f822(f822(f227(a885),f822(f822(f80(a885),x80151),x80152)),f822(f822(f80(a885),x80151),x80153)))
% 218.59/218.71 [8089]E(f238(x80891,x80892,x80893),x80892)+~P144(f822(f822(f226(f892(x80891,a882)),x80893),f822(f822(f298(x80891),x80892),f182(f892(x80891,a882)))))
% 218.59/218.71 [8139]~P144(f822(f129(x81391),x81393))+E(f822(f128(x81391,f822(f822(f10(a882,a882,x81391),a311),f822(a314,x81392))),x81393),f162(x81391,x81392,x81393))
% 218.59/218.71 [8162]E(f822(f822(f130(x81621),f822(f183(f887(x81621)),f169(x81621,x81622,x81623))),x81623),f108(x81621))+P144(f822(f822(f318(x81621),f732(x81623,x81622,x81621)),f822(f164(x81621),x81623)))
% 218.59/218.71 [8167]E(f822(f822(f126(x81671),f822(f822(f167(x81671),x81672),x81673)),f822(f822(f143(x81671),f822(f822(f156(x81671),x81673),x81672)),f108(x81671))),f822(f822(f167(x81671),f822(a107,x81672)),x81673))+~P144(f822(f822(f227(a885),x81672),f822(f183(f887(x81671)),x81673)))
% 218.59/218.71 [8234]E(f822(f128(x82341,f822(f822(f10(a882,a882,x82341),a311),f822(a314,x82342))),x82343),x82343)+P144(f822(f822(f318(x82341),x82342),f822(f164(x82341),x82343)))
% 218.59/218.71 [8240]P144(f822(f822(f226(f892(f892(x82401,a882),a882)),f239(x82401,x82402)),f239(x82401,x82403)))+~P144(f822(f822(f226(f892(x82401,a882)),x82402),x82403))
% 218.59/218.71 [8279]~P144(f822(f129(x82791),x82793))+P144(f822(f129(x82791),f822(f822(f822(f175(f887(x82791),f887(x82791)),x82792),f159(x82791)),x82793)))
% 218.59/218.71 [8284]~P144(f822(f822(f227(a885),x82842),x82843))+P144(f822(f822(f227(a885),f822(f822(f80(a885),f822(a107,x82841)),x82842)),f822(f822(f80(a885),f822(a107,x82841)),x82843)))
% 218.59/218.71 [8305]P144(f822(f822(f226(f892(f892(x83051,a882),a882)),f822(f297(x83051),x83052)),f822(f297(x83051),x83053)))+~P144(f822(f822(f226(f892(x83051,a882)),x83052),x83053))
% 218.59/218.71 [8464]~P144(f822(f822(f226(f892(x84641,a882)),x84643),x84642))+P144(f822(f822(f226(f892(x84641,a882)),f822(f78(f892(x84641,a882)),x84642)),f822(f78(f892(x84641,a882)),x84643)))
% 218.59/218.71 [8496]E(f822(f299(a885,a885,f822(f822(f9(a885,a885,a885),f3(a885)),x84961)),f822(f291(a885,x84962),x84963)),f822(f291(a885,f822(f822(f3(a885),x84962),x84961)),f822(f822(f3(a885),x84963),x84961)))+~P144(f822(f822(f227(a885),x84961),x84963))
% 218.59/218.71 [8522]~P73(x85221)+E(f822(f822(f79(x85221),x85222),f822(f134(x85221,x85221,f79(x85221),f2(x85221)),x85223)),f822(f134(x85221,x85221,f79(x85221),x85222),x85223))
% 218.59/218.71 [8598]~P84(x85981)+P144(f822(f822(f226(x85981),f822(f75(x85981),f822(f822(f79(x85981),x85982),x85983))),f822(f822(f79(x85981),f822(f75(x85981),x85982)),f822(f75(x85981),x85983))))
% 218.59/218.71 [8599]~P84(x85991)+P144(f822(f822(f226(x85991),f822(f75(x85991),f822(f822(f3(x85991),x85992),x85993))),f822(f822(f79(x85991),f822(f75(x85991),x85992)),f822(f75(x85991),x85993))))
% 218.59/218.71 [8610]E(f822(f822(f79(a1),f822(f822(f80(a1),x86101),f44(a1,f822(f822(f35(a1),x86102),x86101),x86103))),f44(a1,x86102,x86101)),f44(a1,x86102,f822(f822(f80(a1),x86101),x86103)))+~P144(f822(f822(f227(a1),f2(a1)),x86103))
% 218.59/218.71 [8617]E(f822(f822(f126(x86171),f822(f822(f167(x86171),x86172),x86173)),f822(f822(f143(x86171),f822(f133(x86171),f822(f822(f130(x86171),x86172),x86173))),f108(x86171))),f822(f822(f167(x86171),f822(a107,x86172)),x86173))+~P144(f822(f822(f227(a885),x86172),f822(f183(f887(x86171)),x86173)))
% 218.59/218.71 [8636]E(f822(f259(x86361,f822(f822(f146(x86361,f891(a94,x86361)),f822(f243(a94,x86361),f77(a94))),x86362)),f822(a5,x86363)),f822(f822(f156(x86361),x86362),x86363))+~P144(f822(f822(f227(a885),x86363),f822(f183(f887(x86361)),x86362)))
% 218.59/218.71 [8699]P144(f822(f822(f318(f891(x86991,x86991)),x86992),f822(f822(f278(x86991,x86991,x86991),x86993),f296(x86991,x86993))))+~P144(f822(f822(f318(f891(x86991,x86991)),x86992),x86993))
% 218.59/218.71 [8717]P144(f822(f822(f226(a885),x87171),x87172))+~P144(f822(f822(f226(a885),f822(f822(f80(a885),f822(a107,x87173)),x87171)),f822(f822(f80(a885),f822(a107,x87173)),x87172)))
% 218.59/218.71 [8732]P144(f822(f822(f226(f892(x87321,a882)),x87322),x87323))+~P144(f822(f822(f226(f892(x87321,a882)),f822(f78(f892(x87321,a882)),x87323)),f822(f78(f892(x87321,a882)),x87322)))
% 218.59/218.71 [8749]P144(f822(f129(x87491),x87492))+~P144(f822(f129(x87491),f822(f822(f822(f175(f887(x87491),f887(x87491)),x87493),f159(x87491)),x87492)))
% 218.59/218.71 [8816]E(f822(f274(x88161,x88161,f296(x88161,x88162)),x88163),x88163)+~P144(f822(f822(f226(f892(x88161,a882)),f822(f274(x88161,x88161,x88162),x88163)),x88163))
% 218.59/218.71 [8861]~P92(x88611)+P15(x88611,f822(f128(x88611,f822(f822(f9(x88611,x88611,a882),a314),f822(x88612,x88613))),x88613))
% 218.59/218.71 [8866]~P144(f822(f822(f226(a885),x88661),x88662))+P144(f822(f822(f226(a885),x88661),f822(f134(a885,a885,f79(a885),x88662),x88663)))
% 218.59/218.71 [8950]~P144(f822(f822(f318(f891(x89501,x89501)),x89502),f296(x89501,x89503)))+P144(f822(f822(f318(f891(x89501,x89501)),x89502),f822(f822(f175(f891(x89501,x89501),a882),f606(x89503,x89502,x89501)),x89503)))
% 218.59/218.71 [9027]~P73(x90271)+E(f822(f822(f79(x90271),x90272),f822(f134(x90271,x90271,f822(f9(x90271,x90271,x90271),f79(x90271)),f2(x90271)),f822(f160(x90271),x90273))),f822(f134(x90271,x90271,f79(x90271),x90272),x90273))
% 218.59/218.71 [9304]P56(x93041,x93042,x93043)+P144(f822(f822(f318(f891(x93041,x93042)),f822(f822(f243(x93041,x93042),f601(x93043,x93042,x93041)),f589(x93043,x93042,x93041))),x93043))
% 218.59/218.71 [9305]P56(x93051,x93052,x93053)+P144(f822(f822(f318(f891(x93051,x93052)),f822(f822(f243(x93051,x93052),f601(x93053,x93052,x93051)),f588(x93053,x93052,x93051))),x93053))
% 218.59/218.71 [9371]~P144(f822(f822(f318(f891(x93711,x93711)),x93712),f822(f822(f278(x93711,x93711,x93711),x93713),f296(x93711,x93713))))+P144(f822(f822(f318(f891(x93711,x93711)),x93712),f822(f822(f175(f891(x93711,x93711),a882),f607(x93713,x93712,x93711)),x93713)))
% 218.59/218.71 [9372]~P144(f822(x93721,f822(f822(f156(x93722),x93723),f822(f183(f887(x93722)),f169(x93722,x93721,x93723)))))+~P144(f822(f822(f227(a885),f822(f183(f887(x93722)),f169(x93722,x93721,x93723))),f822(f183(f887(x93722)),x93723)))
% 218.59/218.71 [9462]~P144(f822(f822(f226(f892(x94621,a882)),x94622),x94623))+P144(f822(f822(f226(f892(x94621,a882)),f822(f822(f9(x94621,f892(x94621,a882),a882),f318(x94621)),x94622)),f822(f822(f9(x94621,f892(x94621,a882),a882),f318(x94621)),x94623)))
% 218.59/218.71 [9522]~P144(f822(f822(f318(f891(f892(x95221,a882),f892(x95221,a882))),f822(f822(f243(f892(x95221,a882),f892(x95221,a882)),x95222),x95223)),f303(x95221)))+P144(f822(f822(f227(f892(x95221,a882)),x95222),x95223))
% 218.59/218.71 [9550]P57(x95501,x95502,x95503)+~P144(f822(f822(f318(f891(x95501,x95501)),f822(f822(f243(x95501,x95501),f605(x95503,x95502,x95501)),f604(x95503,x95502,x95501))),x95503))
% 218.59/218.71 [9551]P57(x95511,x95512,x95513)+~P144(f822(f822(f318(f891(x95511,x95511)),f822(f822(f243(x95511,x95511),f604(x95513,x95512,x95511)),f605(x95513,x95512,x95511))),x95513))
% 218.59/218.71 [9584]~P144(f822(f822(f318(f891(f887(x95841),f887(x95841))),f822(f822(f243(f887(x95841),f887(x95841)),x95842),x95842)),f139(x95841,x95843)))+P144(f822(f822(f318(f891(x95841,x95841)),f822(f822(f243(x95841,x95841),f668(x95842,x95843,x95841)),f668(x95842,x95843,x95841))),x95843))
% 218.59/218.71 [9632]P144(f822(f822(f226(f892(x96321,a882)),x96322),x96323))+~P144(f822(f822(f226(f892(x96321,a882)),f822(f822(f9(x96321,f892(x96321,a882),a882),f318(x96321)),x96322)),f822(f822(f9(x96321,f892(x96321,a882),a882),f318(x96321)),x96323)))
% 218.59/218.71 [9715]E(f822(f822(f3(a885),f822(f822(f8(a885,a885),x97151),f822(f271(a885),x97152))),f822(f822(f8(a885,a885),x97153),f822(f271(a885),x97152))),f822(f822(f8(a885,a885),f822(f822(f20(a885,a885,a885),f822(f822(f10(a885,f892(a885,a885),a885),f3(a885)),x97151)),x97153)),f822(f271(a885),x97152)))+~P144(f822(f822(f226(a885),f822(x97153,f879(x97152,x97151,x97153))),f822(x97151,f879(x97152,x97151,x97153))))
% 218.59/218.71 [5636]~P75(x56361)+E(f822(f822(f79(x56361),f822(f822(f3(x56361),x56362),x56363)),x56363),x56362)
% 218.59/218.71 [5637]~P75(x56371)+E(f822(f822(f3(x56371),f822(f822(f79(x56371),x56372),x56373)),x56373),x56372)
% 218.59/218.71 [5871]~P75(x58711)+E(f822(f822(f79(x58711),x58712),f822(f822(f79(x58711),f822(f78(x58711),x58712)),x58713)),x58713)
% 218.59/218.71 [5959]~P82(x59591)+E(f822(f822(f80(x59591),f822(f822(f235(x59591),x59592),x59593)),x59592),f822(f822(f235(x59591),x59592),f822(a107,x59593)))
% 218.59/218.71 [5960]~P112(x59601)+E(f822(f822(f80(x59601),f822(f822(f235(x59601),x59602),x59603)),x59602),f822(f822(f235(x59601),x59602),f822(a107,x59603)))
% 218.59/218.71 [6189]~P111(x61891)+E(f822(f75(x61891),f822(f822(f235(x61891),f822(f78(x61891),x61892)),x61893)),f822(f75(x61891),f822(f822(f235(x61891),x61892),x61893)))
% 218.59/218.71 [6236]~P82(x62361)+E(f822(f822(f80(x62361),f822(f822(f235(x62361),x62362),x62363)),x62362),f822(f822(f80(x62361),x62362),f822(f822(f235(x62361),x62362),x62363)))
% 218.59/218.71 [6295]E(f822(f822(f3(a94),f822(f822(f79(a94),x62951),x62952)),x62953),f263(x62951,x62952,x62953))+~P144(f822(f822(f227(a94),x62952),x62953))
% 218.59/218.71 [6319]~E(f822(f822(f130(x63191),x63193),x63192),f108(x63191))+P144(f822(f822(f226(a885),f822(f183(f887(x63191)),x63192)),x63193))
% 218.59/218.71 [6467]E(f822(f822(f80(a885),f822(f99(a885),x64671)),f822(f822(f80(a885),f822(f99(a885),x64672)),x64673)),f2(a885))+~P144(f822(f822(f227(a1),x64671),a82))
% 218.59/218.71 [6484]~P64(x64841)+E(f822(f822(f235(x64841),f822(f822(f280(x64841),f77(x64841)),x64842)),x64843),f822(f822(f280(x64841),f77(x64841)),f822(f822(f235(x64841),x64842),x64843)))
% 218.59/218.71 [6568]E(f822(f822(f3(a885),f822(f822(f79(a885),x65681),x65682)),x65683),f822(f822(f3(a885),x65681),f822(f822(f3(a885),x65683),x65682)))+~P144(f822(f822(f226(a885),x65682),x65683))
% 218.59/218.71 [6569]E(f822(f822(f3(a885),f822(f822(f79(a885),x65691),x65692)),x65693),f822(f822(f79(a885),x65691),f822(f822(f3(a885),x65692),x65693)))+~P144(f822(f822(f226(a885),x65693),x65692))
% 218.59/218.71 [6608]~P92(x66081)+P144(f822(f822(f226(x66081),f822(f822(f230(x66081),x66082),x66083)),x66083))
% 218.59/218.71 [6609]~P92(x66091)+P144(f822(f822(f226(x66091),f822(f822(f230(x66091),x66092),x66093)),x66092))
% 218.59/218.71 [6610]~P100(x66101)+P144(f822(f822(f226(x66101),f822(f822(f97(x66101),x66102),x66103)),x66103))
% 218.59/218.71 [6611]~P105(x66111)+P144(f822(f822(f226(x66111),f822(f822(f97(x66111),x66112),x66113)),x66113))
% 218.59/218.71 [6612]~P100(x66121)+P144(f822(f822(f226(x66121),f822(f822(f97(x66121),x66122),x66123)),x66122))
% 218.59/218.71 [6613]~P105(x66131)+P144(f822(f822(f226(x66131),f822(f822(f97(x66131),x66132),x66133)),x66132))
% 218.59/218.71 [6627]E(f822(f822(f35(a1),f822(f822(f35(a1),x66271),x66272)),x66273),f822(f822(f35(a1),x66271),f822(f822(f80(a1),x66272),x66273)))+~P144(f822(f822(f227(a1),f2(a1)),x66273))
% 218.59/218.71 [6683]~P112(x66831)+E(f822(f822(f79(x66831),f822(f822(f80(x66831),x66832),x66833)),x66833),f822(f822(f80(x66831),f822(f822(f79(x66831),x66832),f77(x66831))),x66833))
% 218.59/218.71 [6684]~P96(x66841)+E(f822(f822(f80(x66841),f822(f78(x66841),f822(f99(x66841),x66842))),x66843),f822(f822(f80(x66841),f822(f99(x66841),f822(f78(a1),x66842))),x66843))
% 218.59/218.71 [6759]~P73(x67591)+E(f822(f157(x67591),f822(f822(f146(x67592,x67591),f822(f18(x67591,x67592),f2(x67591))),x67593)),f2(x67591))
% 218.59/218.71 [6777]E(f822(f822(f79(a885),f822(f99(a885),x67771)),f822(f822(f79(a885),f822(f99(a885),x67772)),x67773)),f822(f822(f79(a885),f822(f99(a885),x67772)),x67773))+~P144(f822(a187,f822(f99(a1),x67771)))
% 218.59/218.71 [6792]~P7(x67921)+E(f37(x67921,f822(f822(f298(x67921),x67922),f822(f822(f298(x67921),x67923),f182(f892(x67921,a882))))),f822(f822(f97(x67921),x67922),x67923))
% 218.59/218.71 [6793]~P7(x67931)+E(f36(x67931,f822(f822(f298(x67931),x67932),f822(f822(f298(x67931),x67933),f182(f892(x67931,a882))))),f822(f822(f96(x67931),x67932),x67933))
% 218.59/218.71 [6817]E(f822(f822(f167(x68171),x68172),x68173),x68173)+~P144(f822(f822(f226(a885),f822(f183(f887(x68171)),x68173)),x68172))
% 218.59/218.71 [6829]E(f822(f822(f130(x68291),x68292),x68293),f108(x68291))+~P144(f822(f822(f226(a885),f822(f183(f887(x68291)),x68293)),x68292))
% 218.59/218.71 [6841]E(f822(f822(f3(a885),f822(f822(f79(a885),x68411),x68412)),x68413),f822(f822(f79(a885),f822(f822(f3(a885),x68411),x68413)),x68412))+~P144(f822(f822(f226(a885),x68413),x68411))
% 218.59/218.71 [6855]~P144(f822(f822(f227(a885),x68551),x68553))+P144(f822(f822(f227(a885),f822(f822(f3(a885),x68551),x68552)),x68553))
% 218.59/218.71 [6882]~P92(x68821)+E(f162(x68821,x68822,f822(f822(f140(x68821,x68821,f7(x68821)),x68822),x68823)),x68823)
% 218.59/218.71 [6979]E(f822(f822(f3(a885),f822(f822(f79(a885),x69791),x69792)),f822(a107,x69793)),f822(f822(f3(a885),x69791),f822(a107,f822(f822(f3(a885),x69793),x69792))))+~P144(f822(f822(f226(a885),x69792),x69793))
% 218.59/218.71 [6980]~P111(x69801)+P144(f822(f822(f226(x69801),f2(x69801)),f822(f822(f235(x69801),f822(f75(x69801),x69802)),x69803)))
% 218.59/218.71 [7073]~P144(f822(f60(x70731),x70732))+P144(f822(f60(x70731),f822(f822(f3(f892(x70731,a882)),x70732),x70733)))
% 218.59/218.71 [7074]~P144(f822(f60(x70741),x70743))+P144(f822(f60(x70741),f822(f822(f97(f892(x70741,a882)),x70742),x70743)))
% 218.59/218.71 [7075]~P144(f822(f60(x70751),x70752))+P144(f822(f60(x70751),f822(f822(f97(f892(x70751,a882)),x70752),x70753)))
% 218.59/218.71 [7217]~P36(x72171,x72173)+P36(x72171,f822(f822(f97(f892(f891(x72171,x72171),a882)),x72172),x72173))
% 218.59/218.71 [7218]~P36(x72181,x72182)+P36(x72181,f822(f822(f97(f892(f891(x72181,x72181),a882)),x72182),x72183))
% 218.59/218.71 [7343]~P100(x73431)+E(f15(x73431,f822(f164(x73431),f822(f822(f143(x73431),x73432),x73433))),f822(f134(x73431,x73431,f96(x73431),x73432),x73433))
% 218.59/218.71 [7344]~P92(x73441)+E(f16(x73441,f822(f164(x73441),f822(f822(f143(x73441),x73442),x73443))),f822(f134(x73441,x73441,f181(x73441),x73442),x73443))
% 218.59/218.71 [7345]~P92(x73451)+E(f17(x73451,f822(f164(x73451),f822(f822(f143(x73451),x73452),x73453))),f822(f134(x73451,x73451,f230(x73451),x73452),x73453))
% 218.59/218.71 [7346]~P100(x73461)+E(f12(x73461,f822(f164(x73461),f822(f822(f143(x73461),x73462),x73463))),f822(f134(x73461,x73461,f97(x73461),x73462),x73463))
% 218.59/218.71 [7347]~P144(f822(f822(f276(a1),x73471),x73472))+P144(f822(f822(f276(a1),x73471),f822(f822(f79(a1),x73472),f822(f822(f80(a1),x73471),x73473))))
% 218.59/218.71 [7417]~P144(f822(f60(x74171),x74172))+P144(f822(f822(f226(a885),f822(f34(x74171),x74172)),f822(f34(x74171),f822(f822(f298(x74171),x74173),x74172))))
% 218.59/218.71 [7424]E(f822(f822(f96(f892(a885,a882)),f822(f291(a885,x74241),x74242)),f822(f291(a885,x74242),f822(f822(f79(a885),x74242),x74243))),f822(f291(a885,x74241),f822(f822(f79(a885),x74242),x74243)))+~P144(f822(f822(f226(a885),x74241),x74242))
% 218.59/218.71 [7431]P144(f822(f822(f227(a885),x74311),x74312))+~P144(f822(f822(f227(a885),f822(f822(f79(a885),x74311),x74313)),x74312))
% 218.59/218.71 [7434]P144(f822(f822(f226(a885),x74341),x74342))+~P144(f822(f822(f226(a885),f822(f822(f79(a885),x74343),x74341)),x74342))
% 218.59/218.71 [7435]P144(f822(f822(f226(a885),x74351),x74352))+~P144(f822(f822(f226(a885),f822(f822(f79(a885),x74351),x74353)),x74352))
% 218.59/218.71 [7476]~P92(x74761)+E(f13(x74761,f181(x74761),f822(f164(x74761),f822(f822(f143(x74761),x74762),x74763))),f822(f134(x74761,x74761,f181(x74761),x74762),x74763))
% 218.59/218.71 [7477]~P92(x74771)+E(f14(x74771,f230(x74771),f822(f164(x74771),f822(f822(f143(x74771),x74772),x74773))),f822(f134(x74771,x74771,f230(x74771),x74772),x74773))
% 218.59/218.71 [7481]~E(x74812,f182(f892(f891(x74811,x74811),a882)))+P144(f822(f822(f226(f892(f891(x74811,x74811),a882)),x74812),x74813))
% 218.59/218.71 [7588]E(f822(f822(f96(f892(x75881,a882)),x75882),f822(f822(f3(f892(x75881,a882)),x75883),x75882)),x75883)+~P144(f822(f822(f226(f892(x75881,a882)),x75882),x75883))
% 218.59/218.71 [7591]~P144(f822(f822(f227(a885),x75911),f822(f822(f3(a885),x75913),x75912)))+P144(f822(f822(f227(a885),f822(f822(f79(a885),x75911),x75912)),x75913))
% 218.59/218.71 [7592]~P144(f822(f822(f226(a885),x75921),f822(f822(f79(a885),x75923),x75922)))+P144(f822(f822(f226(a885),f822(f822(f3(a885),x75921),x75922)),x75923))
% 218.59/218.71 [7649]E(x76491,f108(x76492))+E(f822(f133(x76492),f822(f822(f822(f175(f887(x76492),f887(x76492)),x76493),f159(x76492)),x76491)),f822(f822(f156(x76492),x76491),f44(a885,x76493,f822(f183(f887(x76492)),x76491))))
% 218.59/218.71 [7658]E(f822(f822(f298(x76581),x76582),f822(f822(f3(f892(x76581,a882)),x76583),f822(f822(f298(x76581),x76582),f182(f892(x76581,a882))))),x76583)+~P144(f822(f822(f318(x76581),x76582),x76583))
% 218.59/218.71 [7820]P144(f822(f822(f227(a885),x78201),f822(f822(f3(a885),x78202),x78203)))+~P144(f822(f822(f227(a885),f822(f822(f79(a885),x78201),x78203)),x78202))
% 218.59/218.71 [7821]P144(f822(f822(f226(a885),x78211),f822(f822(f79(a885),x78212),x78213)))+~P144(f822(f822(f226(a885),f822(f822(f3(a885),x78211),x78213)),x78212))
% 218.59/218.71 [7846]P144(f822(f60(x78461),x78462))+~P144(f822(f60(x78461),f822(f822(f96(f892(x78461,a882)),x78463),x78462)))
% 218.59/218.71 [7847]P144(f822(f60(x78471),x78472))+~P144(f822(f60(x78471),f822(f822(f96(f892(x78471,a882)),x78472),x78473)))
% 218.59/218.71 [7926]~P46(x79261,x79263)+P144(f822(f822(f318(f891(x79261,x79261)),f822(f822(f243(x79261,x79261),x79262),x79262)),x79263))
% 218.59/218.71 [7976]P144(f822(f822(f276(a1),x79761),x79762))+~P144(f822(f822(f276(a1),x79761),f822(f822(f79(a1),x79762),f822(f822(f80(a1),x79761),x79763))))
% 218.59/218.71 [8059]E(f822(f822(f156(a885),f131(a885,f822(f291(a885,x80591),x80592))),x80593),f822(f822(f79(a885),x80591),x80593))+~P144(f822(f822(f227(a885),f822(f822(f79(a885),x80591),x80593)),x80592))
% 218.59/218.71 [8128]E(f822(f822(f167(a885),x81281),f131(a885,f822(f291(a885,x81282),x81283))),f131(a885,f822(f291(a885,x81282),f822(f822(f79(a885),x81282),x81281))))+~P144(f822(f822(f226(a885),f822(f822(f79(a885),x81282),x81281)),x81283))
% 218.59/218.71 [8184]~P96(x81841)+E(f822(f822(f235(x81841),x81842),f822(f99(a885),f822(f822(f79(a1),x81843),x81843))),f822(f822(f85(x81841,x81841),f822(f822(f235(x81841),x81842),f822(f99(a885),x81843))),f822(f822(f20(x81841,x81841,x81841),f80(x81841)),f7(x81841))))
% 218.59/218.71 [8445]E(f822(f822(f126(x84451),f822(f822(f167(x84451),x84452),x84453)),f822(f822(f143(x84451),f822(f822(f156(x84451),x84453),x84452)),f822(f822(f130(x84451),f822(a107,x84452)),x84453))),x84453)+~P144(f822(f822(f227(a885),x84452),f822(f183(f887(x84451)),x84453)))
% 218.59/218.71 [8452]P144(f822(f822(f226(f892(x84521,a882)),f304(x84521,x84522)),f304(x84521,x84523)))+~P144(f822(f822(f226(f892(x84521,f892(x84521,a882))),x84523),x84522))
% 218.59/218.71 [8453]~P57(x84531,x84532,x84533)+P57(x84531,x84532,f822(f822(f3(f892(f891(x84531,x84531),a882)),x84533),f296(x84531,f182(f892(f891(x84531,x84531),a882)))))
% 218.59/218.71 [8470]P144(f822(f822(f226(f892(x84701,a882)),f305(x84701,x84702)),f305(x84701,x84703)))+~P144(f822(f822(f226(f892(f891(x84701,x84701),a882)),x84703),x84702))
% 218.59/218.71 [8477]~P125(x84771)+P144(f822(f822(f226(x84771),f2(x84771)),f822(f822(f79(x84771),f822(f822(f80(x84771),x84772),x84772)),f822(f822(f80(x84771),x84773),x84773))))
% 218.59/218.71 [8511]P144(f822(f822(f226(f892(x85111,a882)),f822(f270(x85111),x85112)),f822(f270(x85111),x85113)))+~P144(f822(f822(f226(f892(f891(x85111,x85111),a882)),x85112),x85113))
% 218.59/218.71 [8540]~P55(x85401,x85402)+~P144(f822(f822(f318(f891(x85401,x85401)),f822(f822(f243(x85401,x85401),x85403),x85403)),x85402))
% 218.59/218.71 [8542]~P36(x85421,x85422)+~P144(f822(f822(f318(f891(x85421,x85421)),f822(f822(f243(x85421,x85421),x85423),x85423)),x85422))
% 218.59/218.71 [8600]P144(f822(f822(f226(f892(x86001,a882)),f37(f892(x86001,a882),x86002)),f37(f892(x86001,a882),x86003)))+~P144(f822(f822(f226(f892(f892(x86001,a882),a882)),x86003),x86002))
% 218.59/218.71 [8601]P144(f822(f822(f226(f892(x86011,a882)),f36(f892(x86011,a882),x86012)),f36(f892(x86011,a882),x86013)))+~P144(f822(f822(f226(f892(f892(x86011,a882),a882)),x86012),x86013))
% 218.59/218.71 [8655]~P10(x86551,x86553,x86552)+P144(f822(f822(f226(f892(f891(x86551,x86551),a882)),x86552),f822(f822(f245(x86551,x86551),x86553),f822(f18(f892(x86551,a882),x86551),x86553))))
% 218.59/218.71 [8656]~P54(x86561,x86563,x86562)+P144(f822(f822(f226(f892(f891(x86561,x86561),a882)),x86562),f822(f822(f245(x86561,x86561),x86563),f822(f18(f892(x86561,a882),x86561),x86563))))
% 218.59/218.71 [8700]~P84(x87001)+P144(f822(f822(f226(x87001),f822(f822(f3(x87001),f822(f75(x87001),x87002)),f822(f75(x87001),x87003))),f822(f75(x87001),f822(f822(f3(x87001),x87003),x87002))))
% 218.59/218.71 [8701]~P84(x87011)+P144(f822(f822(f226(x87011),f822(f822(f3(x87011),f822(f75(x87011),x87012)),f822(f75(x87011),x87013))),f822(f75(x87011),f822(f822(f3(x87011),x87012),x87013))))
% 218.59/218.71 [8730]P144(f822(f822(f226(f892(f891(x87301,x87301),a882)),f296(x87301,x87302)),f296(x87301,x87303)))+~P144(f822(f822(f226(f892(f891(x87301,x87301),a882)),x87302),x87303))
% 218.59/218.71 [8826]~P26(x88262,x88261,x88263,f233(f892(x88262,a882)))+E(f822(f72(x88261,x88262,x88262,f91(x88262,x88261,f233(f892(x88262,a882)),x88263)),x88263),f31(x88262))
% 218.59/218.71 [8884]P57(x88841,x88842,x88843)+~P57(x88841,x88842,f822(f822(f3(f892(f891(x88841,x88841),a882)),x88843),f296(x88841,f182(f892(f891(x88841,x88841),a882)))))
% 218.59/218.71 [8902]P144(f822(f822(f226(f892(f891(f887(x89021),f887(x89021)),a882)),f149(x89021,x89022)),f149(x89021,x89023)))+~P144(f822(f822(f226(f892(f891(x89021,x89021),a882)),x89022),x89023))
% 218.59/218.71 [8903]P144(f822(f822(f226(f892(f891(f887(x89031),f887(x89031)),a882)),f150(x89031,x89032)),f150(x89031,x89033)))+~P144(f822(f822(f226(f892(f891(x89031,x89031),a882)),x89032),x89033))
% 218.59/218.71 [8924]~P54(x89241,x89243,x89242)+P144(f822(f822(f226(f892(f891(x89241,x89241),a882)),x89242),f822(f822(f278(x89241,x89241,x89241),f822(f275(x89241,x89241),x89242)),x89242)))
% 218.59/218.71 [8975]~P144(f822(f129(x89751),x89752))+E(f822(f128(x89751,f822(f822(f9(x89751,f892(x89751,a882),a882),f318(x89751)),f822(f164(x89751),f168(x89751,x89752,x89753)))),x89752),f168(x89751,x89752,x89753))
% 218.59/218.71 [9025]E(x90251,x90252)+~P144(f822(f822(f318(f891(x90253,x90253)),f822(f822(f243(x90253,x90253),x90251),x90252)),f296(x90253,f182(f892(f891(x90253,x90253),a882)))))
% 218.59/218.71 [9108]P144(f822(f822(f318(x91081),x91082),f305(x91081,x91083)))+P144(f822(f822(f318(f891(x91081,x91081)),f822(f822(f243(x91081,x91081),f487(x91083,x91082,x91081)),x91082)),x91083))
% 218.59/218.71 [9109]P144(f822(f822(f318(x91091),x91092),f305(x91091,x91093)))+P144(f822(f822(f318(f891(x91091,x91091)),f822(f822(f243(x91091,x91091),f575(x91093,x91092,x91091)),x91092)),x91093))
% 218.59/218.71 [9110]P144(f822(f822(f318(x91101),x91102),f305(x91101,x91103)))+P144(f822(f822(f318(f891(x91101,x91101)),f822(f822(f243(x91101,x91101),f577(x91103,x91102,x91101)),x91102)),x91103))
% 218.59/218.71 [9144]P26(x91441,x91442,x91443,f233(f892(x91441,a882)))+~E(f822(f72(x91442,x91441,x91441,f91(x91441,x91442,f233(f892(x91441,a882)),x91443)),x91443),f31(x91441))
% 218.59/218.71 [9209]~P144(f822(f822(f318(f887(x92091)),x92093),f153(x92091,x92092)))+P144(f822(f152(x92091,f822(f822(f9(x92091,f892(x92091,a882),a882),f318(x92091)),x92092)),x92093))
% 218.59/218.71 [9231]P144(f822(x92313,x92312))+E(f822(f253(x92311),f822(f822(f20(x92311,a882,a882),f822(f822(f10(a882,f892(a882,a882),x92311),a315),f822(a314,x92312))),x92313)),f182(f892(x92311,a882)))
% 218.59/218.71 [9248]~P84(x92481)+P144(f822(f822(f226(x92481),f822(f75(x92481),f822(f822(f3(x92481),f822(f75(x92481),x92482)),f822(f75(x92481),x92483)))),f822(f75(x92481),f822(f822(f3(x92481),x92482),x92483))))
% 218.59/218.71 [9262]~P144(f822(x92623,x92622))+E(f822(f253(x92621),f822(f822(f20(x92621,a882,a882),f822(f822(f10(a882,f892(a882,a882),x92621),a315),f822(a314,x92622))),x92623)),f822(f822(f298(x92621),x92622),f182(f892(x92621,a882))))
% 218.59/218.71 [9270]~P144(f822(f822(f318(f892(x92701,a882)),x92703),f822(f297(x92701),x92702)))+P144(f822(f239(x92701,f822(f822(f9(x92701,f892(x92701,a882),a882),f318(x92701)),x92702)),x92703))
% 218.59/218.71 [9303]P36(x93031,x93032)+P144(f822(f822(f318(f891(x93031,x93031)),f822(f822(f243(x93031,x93031),f822(f545(x93032,x93031),f822(a107,x93033))),f822(f545(x93032,x93031),x93033))),x93032))
% 218.59/218.71 [9440]P144(f822(f822(f318(f887(x94401)),x94402),f153(x94401,x94403)))+~P144(f822(f152(x94401,f822(f822(f9(x94401,f892(x94401,a882),a882),f318(x94401)),x94403)),x94402))
% 218.59/218.71 [9454]P144(f822(f822(f318(f892(x94541,a882)),x94542),f822(f297(x94541),x94543)))+~P144(f822(f239(x94541,f822(f822(f9(x94541,f892(x94541,a882),a882),f318(x94541)),x94543)),x94542))
% 218.59/218.71 [9518]P144(f822(f822(f318(x95181),f822(f259(x95181,x95182),x95183)),f822(f164(x95181),f822(f822(f146(f891(a94,x95181),x95181),f247(a94,x95181)),x95182))))+~P144(f822(f822(f227(a94),x95183),f822(f157(a94),f822(f822(f146(f891(a94,x95181),a94),f242(a94,x95181)),x95182))))
% 218.59/218.71 [9566]P144(f822(f822(f226(f892(f891(f887(x95661),f887(x95661)),a882)),f150(x95661,x95662)),f822(f822(f245(f887(x95661),f887(x95661)),f153(x95661,x95663)),f822(f18(f892(f887(x95661),a882),f887(x95661)),f153(x95661,x95663)))))+~P144(f822(f822(f226(f892(f891(x95661,x95661),a882)),x95662),f822(f822(f245(x95661,x95661),x95663),f822(f18(f892(x95661,a882),x95661),x95663))))
% 218.59/218.71 [9587]P144(f822(f822(f318(x95871),f822(f242(x95871,f891(a94,a94)),f822(f257(x95871,x95872),x95873))),f822(f164(x95871),f822(f822(f146(f891(a94,x95871),x95871),f247(a94,x95871)),x95872))))+~P144(f822(f822(f227(a94),f2(a94)),f822(f157(a94),f822(f822(f146(f891(a94,x95871),a94),f242(a94,x95871)),x95872))))
% 218.59/218.71 [9600]~P144(f822(f822(f226(f892(f891(x96001,x96001),a882)),x96002),f822(f822(f245(x96001,x96001),x96003),f822(f18(f892(x96001,a882),x96001),x96003))))+P144(f822(f822(f226(f892(f891(x96001,x96001),a882)),f822(f822(f278(x96001,x96001,x96001),x96002),f296(x96001,x96002))),f822(f822(f245(x96001,x96001),x96003),f822(f18(f892(x96001,a882),x96001),x96003))))
% 218.59/218.71 [9904]~P36(x99041,x99042)+~P144(f822(f822(f318(f891(x99041,x99041)),f822(f822(f243(x99041,x99041),f822(x99043,f822(a107,f541(x99042,x99041,x99043)))),f822(x99043,f541(x99042,x99041,x99043)))),x99042))
% 218.59/218.71 [9905]~P36(x99051,x99052)+~P144(f822(f822(f318(f891(x99051,x99051)),f822(f822(f243(x99051,x99051),f822(x99053,f822(a107,f586(x99053,x99052,x99051)))),f822(x99053,f586(x99053,x99052,x99051)))),x99052))
% 218.59/218.71 [10157]P144(f822(f822(f226(f892(f891(f892(x101571,a882),f892(x101571,a882)),a882)),f822(f822(f278(f892(x101571,a882),f892(x101571,a882),f892(x101571,a882)),f309(x101571,x101572)),f822(f822(f96(f892(f891(f892(x101571,a882),f892(x101571,a882)),a882)),f309(x101571,x101573)),f822(f822(f298(f891(f892(x101571,a882),f892(x101571,a882))),f822(f822(f243(f892(x101571,a882),f892(x101571,a882)),f182(f892(x101571,a882))),f182(f892(x101571,a882)))),f182(f892(f891(f892(x101571,a882),f892(x101571,a882)),a882)))))),f309(x101571,x101572)))+~P144(f822(f822(f226(f892(f891(x101571,x101571),a882)),f822(f822(f278(x101571,x101571,x101571),x101572),x101573)),x101572))
% 218.59/218.71 [10158]P144(f822(f822(f226(f892(f891(f892(x101581,a882),f892(x101581,a882)),a882)),f822(f822(f278(f892(x101581,a882),f892(x101581,a882),f892(x101581,a882)),f307(x101581,x101582)),f822(f822(f96(f892(f891(f892(x101581,a882),f892(x101581,a882)),a882)),f307(x101581,x101583)),f822(f822(f298(f891(f892(x101581,a882),f892(x101581,a882))),f822(f822(f243(f892(x101581,a882),f892(x101581,a882)),f182(f892(x101581,a882))),f182(f892(x101581,a882)))),f182(f892(f891(f892(x101581,a882),f892(x101581,a882)),a882)))))),f307(x101581,x101582)))+~P144(f822(f822(f226(f892(f891(x101581,x101581),a882)),f822(f822(f278(x101581,x101581,x101581),x101582),x101583)),x101582))
% 218.59/218.71 [7342]~P144(f822(f822(f226(a885),x73422),x73421))+E(f822(f822(f3(a885),f822(a107,f822(f822(f3(a885),x73421),x73422))),x73423),f822(f822(f3(a885),f822(a107,x73421)),f822(f822(f79(a885),x73422),x73423)))
% 218.59/218.71 [7383]~P5(x73831)+E(f822(f822(f79(x73831),f44(x73831,x73832,x73833)),f822(f822(f80(x73831),f822(f822(f35(x73831),x73832),x73833)),x73833)),x73832)
% 218.59/218.71 [7596]E(f822(f822(f80(a885),f822(f99(a885),x75961)),f822(f822(f80(a885),f822(f99(a885),x75962)),x75963)),f822(f822(f80(a885),f822(f99(a885),f822(f822(f80(a1),x75961),x75962))),x75963))+P144(f822(f822(f227(a1),x75961),a82))
% 218.59/218.71 [8070]~P144(f822(f822(f226(a885),x80703),x80702))+P144(f822(f822(f226(a885),x80701),f822(f822(f3(a885),f822(f822(f79(a885),x80702),x80701)),x80703)))
% 218.59/218.71 [8270]~P144(f822(f822(f226(a885),x82701),x82702))+E(f822(f822(f126(a885),f131(a885,f822(f291(a885,x82701),x82702))),f131(a885,f822(f291(a885,x82702),f822(f822(f79(a885),x82702),x82703)))),f131(a885,f822(f291(a885,x82701),f822(f822(f79(a885),x82702),x82703))))
% 218.59/218.71 [8519]~P144(f822(f60(x85191),x85192))+E(f822(a107,f822(f34(x85191),f822(f822(f3(f892(x85191,a882)),x85192),f822(f822(f298(x85191),x85193),f182(f892(x85191,a882)))))),f822(f34(x85191),f822(f822(f298(x85191),x85193),x85192)))
% 218.59/218.71 [8558]~P144(f822(f60(x85581),x85582))+E(f822(f822(f79(a885),f77(a885)),f822(f34(x85581),f822(f822(f3(f892(x85581,a882)),x85582),f822(f822(f298(x85581),x85583),f182(f892(x85581,a882)))))),f822(f34(x85581),f822(f822(f298(x85581),x85583),x85582)))
% 218.59/218.71 [8738]E(f822(f822(f3(a885),f822(f34(x87381),x87382)),f822(f34(x87381),f822(f822(f97(f892(x87381,a882)),x87382),x87383))),f822(f34(x87381),f822(f822(f3(f892(x87381,a882)),x87382),x87383)))+~P144(f822(f60(x87381),f822(f822(f97(f892(x87381,a882)),x87382),x87383)))
% 218.59/218.71 [8971]~P8(f822(x89712,f382(x89712,x89713,x89711)))+E(f822(f95(a1),f822(f822(f8(x89711,a885),f822(f822(f10(a1,a885,x89711),a100),x89712)),x89713)),f822(f822(f8(x89711,a1),x89712),x89713))
% 218.59/218.71 [8972]~P8(f822(x89722,f427(x89722,x89723,x89721)))+E(f822(f95(a1),f822(f822(f11(x89721,a885),f822(f822(f10(a1,a885,x89721),a100),x89722)),x89723)),f822(f822(f11(x89721,a1),x89722),x89723))
% 218.59/218.71 [9009]~P144(f822(f60(x90091),x90093))+P144(f822(f822(f226(a885),f822(f822(f3(a885),f822(f34(x90091),x90092)),f822(f34(x90091),x90093))),f822(f34(x90091),f822(f822(f3(f892(x90091,a882)),x90092),x90093))))
% 218.59/218.71 [9035]P144(f822(f822(f318(x90351),f382(x90352,x90353,x90351)),x90353))+E(f822(f95(a1),f822(f822(f8(x90351,a885),f822(f822(f10(a1,a885,x90351),a100),x90352)),x90353)),f822(f822(f8(x90351,a1),x90352),x90353))
% 218.59/218.71 [9036]P144(f822(f822(f318(x90361),f427(x90362,x90363,x90361)),x90363))+E(f822(f95(a1),f822(f822(f11(x90361,a885),f822(f822(f10(a1,a885,x90361),a100),x90362)),x90363)),f822(f822(f11(x90361,a1),x90362),x90363))
% 218.59/218.71 [9100]E(f84(x91001,f822(f822(f9(x91001,f892(x91001,a882),a882),f318(x91001)),f822(f822(f3(f892(x91001,a882)),x91002),f822(f822(f298(x91001),x91003),f182(f892(x91001,a882)))))),f238(x91001,x91003,x91002))+P144(f822(f822(f226(f892(x91001,a882)),x91002),f822(f822(f298(x91001),x91003),f182(f892(x91001,a882)))))
% 218.59/218.71 [9455]E(f822(f822(f146(f887(x94551),x94551),f822(f822(f9(f887(x94551),a885,x94551),f156(x94551)),x94552)),f822(f128(f887(x94551),f822(f822(f10(a885,a882,f887(x94551)),f822(f227(a885),x94552)),f183(f887(x94551)))),x94553)),f822(f822(f156(f887(x94551)),f171(x94551,x94553)),x94552))+~P144(f822(f822(f227(a885),x94552),f822(f183(f887(f887(x94551))),f171(x94551,x94553))))
% 218.59/218.71 [9540]E(f822(f128(x95401,x95402),x95403),f169(x95401,x95402,x95403))+P144(f822(f822(f318(x95401),f736(x95403,x95402,x95401)),f822(f164(x95401),f822(f822(f130(x95401),f822(f183(f887(x95401)),f169(x95401,x95402,x95403))),x95403))))
% 218.59/218.71 [9672]E(f822(f822(f130(x96721),f822(f183(f887(x96721)),f169(x96721,x96722,x96723))),x96723),f108(x96721))+~P144(f822(x96722,f822(f133(x96721),f822(f822(f130(x96721),f822(f183(f887(x96721)),f169(x96721,x96722,x96723))),x96723))))
% 218.59/218.71 [9767]~P144(f822(f822(f318(f891(x97671,x97671)),x97672),f296(x97671,x97673)))+P144(f822(f822(f318(f891(x97671,x97671)),x97672),f822(f822(f38(a885,f892(f891(x97671,x97671),a882)),f233(f892(a885,a882))),f822(f822(f9(a885,f892(f891(x97671,x97671),a882),f892(f891(x97671,x97671),a882)),f175(f891(x97671,x97671),a882)),x97673))))
% 218.59/218.71 [9831]~P144(f822(f822(f226(f892(x98311,a882)),f822(f822(f38(a885,f892(x98311,a882)),f822(f291(a885,f2(a885)),f378(x98313,x98312,x98311))),x98312)),x98313))+P144(f822(f822(f226(f892(x98311,a882)),f822(f822(f38(a885,f892(x98311,a882)),f233(f892(a885,a882))),x98312)),x98313))
% 218.59/218.71 [9879]~P144(f822(f822(f227(a1),f2(a1)),x98793))+P144(f822(f822(f227(a1),x98791),f822(f822(f79(a1),x98792),f822(f822(f80(a1),f822(f822(f79(a1),f822(f75(a1),f822(f822(f3(a1),x98792),x98791))),f77(a1))),x98793))))
% 218.59/218.71 [9891]~P36(x98911,f822(f822(f96(f892(f891(x98911,x98911),a882)),x98912),x98913))+P36(x98911,f822(f822(f96(f892(f891(x98911,x98911),a882)),f822(f822(f96(f892(f891(x98911,x98911),a882)),f822(f822(f278(x98911,x98911,x98911),x98912),x98912)),f822(f822(f278(x98911,x98911,x98911),x98913),x98912))),x98913))
% 218.59/218.71 [9963]P36(x99631,f822(f822(f96(f892(f891(x99631,x99631),a882)),x99632),x99633))+~P36(x99631,f822(f822(f96(f892(f891(x99631,x99631),a882)),f822(f822(f96(f892(f891(x99631,x99631),a882)),f822(f822(f278(x99631,x99631,x99631),x99632),x99632)),f822(f822(f278(x99631,x99631,x99631),x99633),x99632))),x99633))
% 218.59/218.71 [9544]~P127(x95441)+E(f822(f98(x95441),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x95442),x95443)),f182(f892(f891(a885,a885),a882)))))),f822(f822(f3(x95441),f822(f95(x95441),x95442)),f822(f95(x95441),x95443)))
% 218.59/218.71 [9620]P144(f822(x96203,x96202))+E(f822(f253(x96201),f822(f822(f20(x96201,a882,a882),f822(f822(f10(a882,f892(a882,a882),x96201),a315),f822(f822(f9(x96201,x96201,a882),a314),x96202))),x96203)),f182(f892(x96201,a882)))
% 218.59/218.71 [9622]~P144(f822(x96223,x96222))+E(f822(f253(x96221),f822(f822(f20(x96221,a882,a882),f822(f822(f10(a882,f892(a882,a882),x96221),a315),f822(f822(f9(x96221,x96221,a882),a314),x96222))),x96223)),f822(f822(f298(x96221),x96222),f182(f892(x96221,a882))))
% 218.59/218.71 [9859]E(x98591,x98592)+P144(f822(f822(f234(x98593,x98593,f822(f822(f10(f892(x98593,a882),f892(x98593,a882),x98593),f822(f10(a882,a882,x98593),a311)),a314)),x98591),x98592))
% 218.59/218.71 [9943]~E(x99431,x99432)+~P144(f822(f822(f234(x99433,x99433,f822(f822(f10(f892(x99433,a882),f892(x99433,a882),x99433),f822(f10(a882,a882,x99433),a311)),a314)),x99431),x99432))
% 218.59/218.71 [9955]~P144(f822(f60(x99551),x99553))+E(f822(f822(f63(x99551,f892(x99551,a882),f822(f822(f10(f892(x99551,a882),f892(f892(x99551,a882),f892(x99551,a882)),x99551),f822(f9(f892(x99551,a882),f892(x99551,a882),f892(x99551,a882)),f3(f892(x99551,a882)))),f822(f822(f9(x99551,f892(x99551,a882),f892(x99551,a882)),f298(x99551)),f182(f892(x99551,a882))))),x99552),x99553),f822(f822(f3(f892(x99551,a882)),x99552),x99553))
% 218.59/218.71 [9985]~P144(f822(f822(f227(a1),f2(a1)),x99853))+P144(f822(f822(f227(a1),f822(f822(f3(a1),x99851),f822(f822(f80(a1),f822(f822(f79(a1),f822(f75(a1),f822(f822(f3(a1),x99851),x99852))),f77(a1))),x99853))),x99852))
% 218.59/218.71 [10238]~P144(f822(f822(f318(x102381),x102383),f305(x102381,x102382)))+P144(f822(f304(x102381,f822(f822(f9(x102381,f892(f891(x102381,x102381),a882),f892(x102381,a882)),f822(f822(f10(f892(x102381,f892(f892(f891(x102381,x102381),a882),a882)),f892(f892(f891(x102381,x102381),a882),f892(x102381,a882)),x102381),f9(x102381,f892(f891(x102381,x102381),a882),a882)),f822(f822(f10(f892(x102381,f891(x102381,x102381)),f892(x102381,f892(f892(f891(x102381,x102381),a882),a882)),x102381),f822(f10(f891(x102381,x102381),f892(f892(f891(x102381,x102381),a882),a882),x102381),f318(f891(x102381,x102381)))),f243(x102381,x102381)))),x102382)),x102383))
% 218.59/218.71 [10251]P144(f822(f822(f318(x102511),x102512),f305(x102511,x102513)))+~P144(f822(f304(x102511,f822(f822(f9(x102511,f892(f891(x102511,x102511),a882),f892(x102511,a882)),f822(f822(f10(f892(x102511,f892(f892(f891(x102511,x102511),a882),a882)),f892(f892(f891(x102511,x102511),a882),f892(x102511,a882)),x102511),f9(x102511,f892(f891(x102511,x102511),a882),a882)),f822(f822(f10(f892(x102511,f891(x102511,x102511)),f892(x102511,f892(f892(f891(x102511,x102511),a882),a882)),x102511),f822(f10(f891(x102511,x102511),f892(f892(f891(x102511,x102511),a882),a882),x102511),f318(f891(x102511,x102511)))),f243(x102511,x102511)))),x102513)),x102512))
% 218.59/218.71 [9829]~P144(f822(f60(x98291),f822(f253(x98291),x98293)))+P144(f822(f60(x98291),f822(f253(x98291),f822(f822(f20(x98291,a882,a882),f822(f822(f10(a882,f892(a882,a882),x98291),a315),x98292)),x98293))))
% 218.59/218.71 [9830]~P144(f822(f60(x98301),f822(f253(x98301),x98302)))+P144(f822(f60(x98301),f822(f253(x98301),f822(f822(f20(x98301,a882,a882),f822(f822(f10(a882,f892(a882,a882),x98301),a315),x98302)),x98303))))
% 218.59/218.71 [9922]P144(f822(f60(x99221),f822(f253(x99221),x99222)))+~P144(f822(f60(x99221),f822(f253(x99221),f822(f822(f20(x99221,a882,a882),f822(f822(f10(a882,f892(a882,a882),x99221),a316),x99223)),x99222))))
% 218.59/218.71 [9923]P144(f822(f60(x99231),f822(f253(x99231),x99232)))+~P144(f822(f60(x99231),f822(f253(x99231),f822(f822(f20(x99231,a882,a882),f822(f822(f10(a882,f892(a882,a882),x99231),a316),x99232)),x99233))))
% 218.59/218.71 [10219]~P144(f822(f60(x102191),x102192))+P144(f822(f60(f887(x102191)),f822(f253(f887(x102191)),f822(f822(f20(f887(x102191),a882,a882),f822(f822(f10(a882,f892(a882,a882),f887(x102191)),a315),f822(f822(f9(f887(x102191),f892(x102191,a882),a882),f822(f822(f10(f892(x102191,a882),f892(f892(x102191,a882),a882),f887(x102191)),f226(f892(x102191,a882))),f164(x102191))),x102192))),f822(f822(f9(f887(x102191),a885,a882),f822(f822(f10(a885,f892(a885,a882),f887(x102191)),a314),f183(f887(x102191)))),x102193)))))
% 218.59/218.71 [10220]~P144(f822(f60(x102201),x102202))+P144(f822(f60(f887(x102201)),f822(f253(f887(x102201)),f822(f822(f20(f887(x102201),a882,a882),f822(f822(f10(a882,f892(a882,a882),f887(x102201)),a315),f822(f822(f9(f887(x102201),f892(x102201,a882),a882),f822(f822(f10(f892(x102201,a882),f892(f892(x102201,a882),a882),f887(x102201)),f226(f892(x102201,a882))),f164(x102201))),x102202))),f822(f822(f9(f887(x102201),a885,a882),f822(f822(f10(a885,f892(a885,a882),f887(x102201)),f226(a885)),f183(f887(x102201)))),x102203)))))
% 218.59/218.71 [9936]~P112(x99361)+E(f822(f822(f235(x99361),x99362),f822(f822(f80(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x99363)),f822(f822(f80(x99361),f822(f822(f235(x99361),x99362),x99363)),f822(f822(f235(x99361),x99362),x99363)))
% 218.59/218.71 [9966]~P82(x99661)+E(f822(f822(f235(x99661),f822(f822(f235(x99661),x99662),x99663)),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(f822(f235(x99661),x99662),f822(f822(f80(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x99663)))
% 218.59/218.71 [10025]~P127(x100251)+E(f822(f822(f235(x100251),f822(f78(x100251),x100252)),f822(f822(f80(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x100253)),f822(f822(f235(x100251),x100252),f822(f822(f80(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x100253)))
% 218.59/218.71 [10164]~P111(x101641)+P144(f822(f822(f226(x101641),f2(x101641)),f822(f822(f79(x101641),f822(f822(f235(x101641),x101642),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x101641),x101643),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))))
% 218.59/218.71 [10035]~P112(x100351)+E(f822(f822(f235(x100351),x100352),f822(a107,f822(f822(f80(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x100353))),f822(f822(f80(x100351),x100352),f822(f822(f80(x100351),f822(f822(f235(x100351),x100352),x100353)),f822(f822(f235(x100351),x100352),x100353))))
% 218.59/218.71 [10085]~P82(x100851)+E(f822(f822(f80(x100851),x100852),f822(f822(f235(x100851),f822(f822(f235(x100851),x100852),x100853)),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x100851),x100852),f822(a107,f822(f822(f80(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x100853))))
% 218.59/218.71 [10125]~P111(x101251)+P144(f822(f822(f226(x101251),f2(x101251)),f822(f822(f235(x101251),x101252),f822(f822(f80(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x101253))))
% 218.59/218.71 [10196]~P96(x101961)+E(f822(f822(f79(x101961),f822(f822(f79(x101961),f822(f822(f235(x101961),x101962),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x101961),x101963),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))),f822(f822(f80(x101961),f822(f822(f80(x101961),f822(f99(x101961),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x101962)),x101963)),f822(f822(f235(x101961),f822(f822(f79(x101961),x101962),x101963)),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))
% 218.59/218.71 [10197]~P96(x101971)+E(f822(f822(f3(x101971),f822(f822(f79(x101971),f822(f822(f235(x101971),x101972),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x101971),x101973),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))),f822(f822(f80(x101971),f822(f822(f80(x101971),f822(f99(x101971),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x101972)),x101973)),f822(f822(f235(x101971),f822(f822(f3(x101971),x101972),x101973)),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))
% 218.59/218.71 [4658]E(x46581,x46582)+~E(f30(x46583,x46581),f30(x46584,x46582))
% 218.59/218.71 [4659]E(x46591,x46592)+~E(f30(x46591,x46593),f30(x46592,x46594))
% 218.59/218.71 [4660]E(x46601,x46602)+~E(f29(x46603,x46601),f29(x46604,x46602))
% 218.59/218.71 [4661]E(x46611,x46612)+~E(f29(x46611,x46613),f29(x46612,x46614))
% 218.59/218.71 [5837]P40(f29(x58371,x58373),x58372,x58374,x58372)+P144(f822(x58371,x58372))
% 218.59/218.71 [7017]~P40(x70171,x70172,x70173,x70174)+P40(x70171,x70172,f822(a107,x70173),x70174)
% 218.59/218.71 [7863]P26(x78631,x78632,x78633,x78634)+~E(f477(x78634,x78633,x78632,x78631),f479(x78634,x78633,x78632,x78631))
% 218.59/218.71 [8160]P33(x81601,x81602,x81603,x81604,f108(x81602))+~E(x81604,f108(x81601))
% 218.59/218.71 [8161]P33(x81611,x81612,x81613,f108(x81611),x81614)+~E(x81614,f108(x81612))
% 218.59/218.71 [8690]~P33(x86902,x86903,x86904,x86901,f108(x86903))+E(x86901,f108(x86902))
% 218.59/218.71 [8691]~P33(x86913,x86912,x86914,f108(x86913),x86911)+E(x86911,f108(x86912))
% 218.59/218.71 [5046]~P19(x50463,x50461,x50464)+E(f822(f822(x50461,x50462),x50462),x50462)
% 218.59/218.71 [5301]P144(f822(x53012,x53014))+E(f822(f128(x53011,x53012),f161(x53011,x53013,x53014)),f108(x53011))
% 218.59/218.71 [5339]~E(x53394,f182(f892(x53391,a882)))+E(f822(f299(x53391,x53392,x53393),x53394),f182(f892(x53392,a882)))
% 218.59/218.71 [5584]~P144(f822(x55842,x55844))+E(f822(f128(x55841,x55842),f161(x55841,x55843,x55844)),f161(x55841,x55843,x55844))
% 218.59/218.71 [5614]~E(f822(f299(x56142,x56143,x56144),x56141),f182(f892(x56143,a882)))+E(x56141,f182(f892(x56142,a882)))
% 218.59/218.71 [5917]~P92(x59172)+E(f822(f822(f140(x59171,x59172,x59173),x59174),f108(x59171)),f822(f822(f143(x59171),x59174),f108(x59171)))
% 218.59/218.71 [6289]~E(x62891,f182(f892(x62892,a882)))+~P144(f822(f61(x62892,x62893,x62891),x62894))
% 218.59/218.71 [6311]~P60(x63111,x63113,x63114,x63112)+P144(f822(f60(x63111),x63112))
% 218.59/218.71 [6313]~P60(x63131,x63133,x63132,x63134)+P144(f822(f60(x63131),x63132))
% 218.59/218.71 [6321]~P60(x63212,x63213,x63214,x63211)+~E(x63211,f182(f892(x63212,a882)))
% 218.59/218.71 [6357]~P91(x63571)+E(f822(f822(f97(f892(x63571,a882)),f822(f291(x63571,x63572),x63573)),f292(x63571,x63573,x63574)),f182(f892(x63571,a882)))
% 218.59/218.71 [6387]~P144(f822(f822(x63873,x63874),x63872))+P144(f822(f822(f318(x63871),x63872),f284(x63871,x63873,x63874)))
% 218.59/218.71 [6388]~P144(f822(f822(x63883,x63884),x63882))+P144(f822(f822(f318(x63881),x63882),f283(x63881,x63883,x63884)))
% 218.59/218.71 [6389]~P144(f822(f822(x63893,x63892),x63894))+P144(f822(f822(f318(x63891),x63892),f287(x63891,x63893,x63894)))
% 218.59/218.71 [6390]~P144(f822(f822(x63903,x63902),x63904))+P144(f822(f822(f318(x63901),x63902),f285(x63901,x63903,x63904)))
% 218.59/218.71 [6541]~P91(x65411)+E(f822(f822(f97(f892(x65411,a882)),f292(x65411,x65412,x65413)),f294(x65411,x65413,x65414)),f182(f892(x65411,a882)))
% 218.59/218.71 [6542]~P91(x65421)+E(f822(f822(f97(f892(x65421,a882)),f292(x65421,x65422,x65423)),f295(x65421,x65423,x65424)),f182(f892(x65421,a882)))
% 218.59/218.71 [6543]~P91(x65431)+E(f822(f822(f97(f892(x65431,a882)),f294(x65431,x65432,x65433)),f294(x65431,x65433,x65434)),f182(f892(x65431,a882)))
% 218.59/218.71 [6544]~P91(x65441)+E(f822(f822(f97(f892(x65441,a882)),f294(x65441,x65442,x65443)),f295(x65441,x65443,x65444)),f182(f892(x65441,a882)))
% 218.59/218.71 [6545]~P91(x65451)+E(f822(f822(f97(f892(x65451,a882)),f295(x65451,x65452,x65453)),f292(x65451,x65453,x65454)),f182(f892(x65451,a882)))
% 218.59/218.71 [6584]P144(f822(f822(x65841,x65842),f543(x65842,x65841)))+~P144(f822(f240(x65843,x65844,x65841),x65842))
% 218.59/218.71 [6668]~P92(x66682)+E(f822(f164(x66681),f142(x66681,x66682,x66683,x66684)),f822(f164(x66681),x66684))
% 218.59/218.71 [6722]~P1(x67221)+E(f184(x67221,x67222,f822(a107,x67223),x67224),f184(x67221,x67222,x67223,f822(x67222,x67224)))
% 218.59/218.71 [6786]~P144(f822(f822(f318(x67864),x67863),f284(x67864,x67861,x67862)))+P144(f822(f822(x67861,x67862),x67863))
% 218.59/218.71 [6787]~P144(f822(f822(f318(x67874),x67873),f283(x67874,x67871,x67872)))+P144(f822(f822(x67871,x67872),x67873))
% 218.59/218.71 [6788]~P144(f822(f822(f318(x67884),x67882),f287(x67884,x67881,x67883)))+P144(f822(f822(x67881,x67882),x67883))
% 218.59/218.71 [6789]~P144(f822(f822(f318(x67894),x67892),f285(x67894,x67891,x67893)))+P144(f822(f822(x67891,x67892),x67893))
% 218.59/218.71 [6867]E(f822(f34(f893(x68671,x68672)),f302(x68671,x68672,x68673,x68674)),f2(a885))+P144(f822(f60(x68672),x68674))
% 218.59/218.71 [6868]E(f822(f34(f893(x68681,x68682)),f302(x68681,x68682,x68683,x68684)),f2(a885))+P144(f822(f60(x68681),x68683))
% 218.59/218.71 [7081]~P16(x70814,x70811,x70812)+E(f822(f72(x70811,x70811,x70811,f822(x70812,x70813)),f822(x70812,x70813)),f822(x70812,x70813))
% 218.59/218.71 [7327]E(f266(x73271,x73272,x73273,x73274),f822(f243(f892(a94,f892(a882,f889(f886(x73271)))),f891(a94,a94)),f40(x73271)))+~P144(f822(f822(f226(a94),x73273),f2(a94)))
% 218.59/218.71 [7993]~E(x79932,x79933)+P144(f822(f822(f318(f891(x79931,x79931)),f822(f822(f243(x79931,x79931),x79932),x79933)),f296(x79931,x79934)))
% 218.59/218.71 [8021]~P26(x80211,x80212,x80213,f233(f892(x80211,a882)))+E(f822(f76(x80211,x80212,f233(f892(x80211,a882)),x80213),f822(x80213,x80214)),x80214)
% 218.59/218.71 [8111]~P144(f822(f822(f318(f887(x81111)),f822(f822(f143(x81111),x81114),x81112)),f153(x81111,x81113)))+P144(f822(f822(f318(f887(x81111)),x81112),f153(x81111,x81113)))
% 218.59/218.71 [8112]~P144(f822(f822(f318(f887(x81121)),f822(f822(f126(x81121),x81124),x81122)),f153(x81121,x81123)))+P144(f822(f822(f318(f887(x81121)),x81122),f153(x81121,x81123)))
% 218.59/218.71 [8113]~P144(f822(f822(f318(f887(x81131)),f822(f822(f126(x81131),x81132),x81134)),f153(x81131,x81133)))+P144(f822(f822(f318(f887(x81131)),x81132),f153(x81131,x81133)))
% 218.59/218.71 [8124]~P92(x81241)+P15(x81241,f822(f822(f146(x81242,x81241),x81243),f142(x81242,x81241,x81243,x81244)))
% 218.59/218.71 [8229]P26(x82294,x82293,x82291,x82292)+E(f822(x82291,f477(x82292,x82291,x82293,x82294)),f822(x82291,f479(x82292,x82291,x82293,x82294)))
% 218.59/218.71 [8334]~P26(x83342,x83341,x83344,x83343)+P26(x83341,x83342,f76(x83342,x83341,x83343,x83344),f822(f299(x83342,x83341,x83344),x83343))
% 218.59/218.71 [8468]P36(f891(x84682,x84684),f269(x84682,x84684,x84681,x84683))+P144(f822(x84681,f548(x84682,x84683,x84684,x84681)))
% 218.59/218.71 [8583]E(x85831,x85832)+~P144(f822(f822(f318(f891(x85833,x85833)),f822(f822(f243(x85833,x85833),x85831),x85832)),f254(x85833,x85834)))
% 218.59/218.71 [8613]~E(f822(x86131,f863(x86133,x86132,x86134,x86131)),f822(f176(x86134,x86132,x86133),f863(x86133,x86132,x86134,x86131)))+E(f822(x86131,f2(a885)),x86132)
% 218.59/218.71 [8647]~P144(f822(f60(f893(x86473,x86471)),f302(x86473,x86471,x86474,x86472)))+P144(f822(f60(x86471),x86472))
% 218.59/218.71 [8648]~P144(f822(f60(f893(x86481,x86483)),f302(x86481,x86483,x86482,x86484)))+P144(f822(f60(x86481),x86482))
% 218.59/218.71 [8819]P36(f891(x88191,x88192),f269(x88191,x88192,x88193,x88194))+~P36(x88192,f822(x88194,f548(x88191,x88194,x88192,x88193)))
% 218.59/218.71 [9376]E(f822(f822(f151(x93761,x93762),f689(x93763,x93764,x93762,x93761)),f690(x93763,x93764,x93762,x93761)),x93764)+~P144(f822(f822(f318(f891(f887(x93761),f887(x93761))),f822(f822(f243(f887(x93761),f887(x93761)),x93762),x93764)),f149(x93761,x93763)))
% 218.59/218.71 [9382]~P144(f822(f822(f318(f891(f887(x93821),f887(x93821))),f822(f822(f243(f887(x93821),f887(x93821)),x93822),x93823)),f137(x93821,x93824)))+P144(f822(f822(f318(f891(f887(x93821),f887(x93821))),f822(f822(f243(f887(x93821),f887(x93821)),x93822),x93823)),f139(x93821,x93824)))
% 218.59/218.71 [9491]P144(f822(f60(x94911),x94912))+~P144(f822(f822(f318(f891(f892(x94911,a882),f892(x94911,a882))),f822(f822(f243(f892(x94911,a882),f892(x94911,a882)),x94913),x94912)),f307(x94911,x94914)))
% 218.59/218.71 [9492]P144(f822(f60(x94921),x94922))+~P144(f822(f822(f318(f891(f892(x94921,a882),f892(x94921,a882))),f822(f822(f243(f892(x94921,a882),f892(x94921,a882)),x94922),x94923)),f307(x94921,x94924)))
% 218.59/218.71 [9495]~E(x94951,f182(f892(x94952,a882)))+~P144(f822(f822(f318(f891(f892(x94952,a882),f892(x94952,a882))),f822(f822(f243(f892(x94952,a882),f892(x94952,a882)),x94953),x94951)),f307(x94952,x94954)))
% 218.59/218.71 [10136]P13(x101361,x101362,x101363,x101364)+~P144(f822(f822(f248(x101361,x101361,a882),f822(f822(f9(x101361,f892(x101361,x101362),f892(x101361,a882)),f822(f822(f10(f892(x101362,a882),f892(f892(x101361,x101362),f892(x101361,a882)),x101361),f10(x101362,a882,x101361)),f822(f822(f10(x101362,f892(x101362,a882),x101361),a314),x101364))),x101364)),f554(x101364,x101363,x101362,x101361)))
% 218.59/218.71 [4944]~E(x49444,f108(x49441))+E(f822(f822(f146(x49441,x49442),x49443),x49444),f108(x49442))
% 218.59/218.71 [4945]~E(x49452,f108(x49451))+E(f822(f822(f151(x49451,x49452),x49453),x49454),f108(x49451))
% 218.59/218.71 [5180]E(x51801,f108(x51802))+~E(f822(f822(f146(x51802,x51803),x51804),x51801),f108(x51803))
% 218.59/218.71 [5181]E(x51811,f108(x51812))+~E(f822(f822(f151(x51812,x51811),x51813),x51814),f108(x51812))
% 218.59/218.71 [5218]E(x52181,x52182)+~E(f822(f822(f126(x52183),x52184),x52181),f822(f822(f126(x52183),x52184),x52182))
% 218.59/218.71 [5219]E(x52191,x52192)+~E(f822(f822(f126(x52193),x52191),x52194),f822(f822(f126(x52193),x52192),x52194))
% 218.59/218.71 [5376]P144(f822(x53763,x53762))+E(f162(x53761,x53762,f822(f128(x53761,x53763),x53764)),f822(f128(x53761,x53763),x53764))
% 218.59/218.71 [5378]~P144(f822(x53782,x53783))+P32(x53781,x53782,f822(f822(f143(x53781),x53783),x53784))
% 218.59/218.71 [5388]E(x53881,x53882)+~E(f131(a885,f822(f291(a885,x53881),x53883)),f822(f822(f143(a885),x53882),x53884))
% 218.59/218.71 [5436]~P27(x54362,x54363)+P27(x54361,f822(f822(f73(x54362,x54361),x54363),x54364))
% 218.59/218.71 [5437]~P36(x54372,x54373)+P36(x54371,f822(f822(f277(x54372,x54371),x54373),x54374))
% 218.59/218.71 [5438]~P37(x54382,x54383)+P37(x54381,f822(f822(f277(x54382,x54381),x54383),x54384))
% 218.59/218.71 [5439]~P53(x54392,x54393)+P53(x54391,f822(f822(f277(x54392,x54391),x54393),x54394))
% 218.59/218.71 [5568]~P32(x55681,x55682,x55684)+P32(x55681,x55682,f822(f822(f143(x55681),x55683),x55684))
% 218.59/218.71 [5569]~P32(x55691,x55692,x55694)+P32(x55691,x55692,f822(f822(f126(x55691),x55693),x55694))
% 218.59/218.71 [5570]~P32(x55701,x55702,x55703)+P32(x55701,x55702,f822(f822(f126(x55701),x55703),x55704))
% 218.59/218.71 [5658]~E(x56581,f108(x56582))+~E(f822(f822(f126(x56582),x56583),f822(f822(f143(x56582),x56584),f108(x56582))),x56581)
% 218.59/218.71 [5683]~P30(x56833,x56831,f822(f822(f143(x56833),x56832),x56834))+P144(f822(x56831,x56832))
% 218.59/218.71 [5693]E(f136(x56931,x56932),x56933)+~E(f822(f822(f126(x56931),x56934),f822(f822(f143(x56931),x56933),f108(x56931))),x56932)
% 218.59/218.71 [5694]E(f109(x56941,x56942),x56943)+~E(f822(f822(f126(x56941),x56943),f822(f822(f143(x56941),x56944),f108(x56941))),x56942)
% 218.59/218.71 [5804]~E(f131(a885,f822(f291(a885,x58041),x58042)),f822(f822(f143(a885),x58043),x58044))+P144(f822(f822(f227(a885),x58041),x58042))
% 218.59/218.71 [5822]P30(x58221,x58222,x58223)+~P30(x58221,x58222,f822(f822(f143(x58221),x58224),x58223))
% 218.59/218.71 [5823]P30(x58231,x58232,x58233)+~P30(x58231,x58232,f822(f822(f126(x58231),x58234),x58233))
% 218.59/218.71 [5824]P30(x58241,x58242,x58243)+~P30(x58241,x58242,f822(f822(f126(x58241),x58243),x58244))
% 218.59/218.71 [6023]E(x60231,f822(f822(f126(x60232),f822(f160(x60232),x60233)),f822(f822(f143(x60232),x60234),f108(x60232))))+~E(f822(f160(x60232),x60231),f822(f822(f143(x60232),x60234),x60233))
% 218.59/218.71 [6209]~P91(x62091)+E(f822(f822(f97(f892(x62091,a882)),f822(f291(x62091,x62092),x62093)),f822(f291(x62091,x62093),x62094)),f182(f892(x62091,a882)))
% 218.59/218.71 [6220]E(f822(f822(f156(x62201),f161(x62201,x62202,x62203)),x62204),x62203)+~P144(f822(f822(f227(a885),x62204),x62202))
% 218.59/218.71 [6247]~P72(x62471)+E(f822(f157(x62471),f822(f822(f146(a1,x62471),x62472),f170(x62473,x62474))),f822(f822(f8(a1,x62471),x62472),f822(f164(a1),f170(x62473,x62474))))
% 218.59/218.71 [6248]~P72(x62481)+E(f822(f822(f8(a1,x62481),x62482),f822(f164(a1),f170(x62483,x62484))),f822(f157(x62481),f822(f822(f146(a1,x62481),x62482),f170(x62483,x62484))))
% 218.59/218.71 [6401]~E(x64012,f822(f822(f126(x64011),f822(f160(x64011),x64014)),f822(f822(f143(x64011),x64013),f108(x64011))))+E(f822(f160(x64011),x64012),f822(f822(f143(x64011),x64013),x64014))
% 218.59/218.71 [6417]~P21(x64172,x64173,x64174,x64171)+E(f822(x64171,f182(f892(x64172,a882))),f31(x64173))
% 218.59/218.71 [6448]~P91(x64481)+E(f822(f822(f97(f892(x64481,a882)),f295(x64481,x64482,x64483)),f822(f291(x64481,x64483),x64484)),f182(f892(x64481,a882)))
% 218.59/218.71 [6671]E(x66711,f182(f892(x66712,a882)))+~E(f302(x66713,x66712,x66714,x66711),f182(f892(f893(x66713,x66712),a882)))
% 218.59/218.71 [6672]E(x66721,f182(f892(x66722,a882)))+~E(f302(x66722,x66723,x66721,x66724),f182(f892(f893(x66722,x66723),a882)))
% 218.59/218.71 [6742]~P92(x67422)+E(f822(f183(f887(x67421)),f142(x67421,x67422,x67423,x67424)),f822(f183(f887(x67421)),x67424))
% 218.59/218.71 [6753]~P144(f822(f241(x67533,x67534,x67531),x67532))+P144(f822(f822(x67531,f533(x67532,x67531)),x67532))
% 218.59/218.71 [6800]~P144(f822(f60(x68002),x68004))+P144(f822(f60(x68001),f822(f299(x68002,x68001,x68003),x68004)))
% 218.59/218.71 [7041]~P26(x70412,x70411,x70413,x70414)+E(f822(f34(x70411),f822(f299(x70412,x70411,x70413),x70414)),f822(f34(x70412),x70414))
% 218.59/218.71 [7060]E(f822(f299(x70601,x70602,x70603),f822(f300(x70601,x70602,x70603),x70604)),x70604)+~E(f822(f299(x70601,x70602,x70603),f233(f892(x70601,a882))),f233(f892(x70602,a882)))
% 218.59/218.71 [7489]~P26(x74891,x74892,x74893,f233(f892(x74891,a882)))+E(f822(f300(x74891,x74892,x74893),f822(f299(x74891,x74892,x74893),x74894)),x74894)
% 218.59/218.71 [7781]E(x77811,x77812)+~P144(f822(f822(f318(x77813),x77811),f822(f164(x77813),f161(x77813,x77814,x77812))))
% 218.59/218.71 [7790]~E(x77901,f2(a885))+~P144(f822(f822(f318(x77902),x77903),f822(f164(x77902),f161(x77902,x77901,x77904))))
% 218.59/218.71 [7823]P144(f822(x78231,x78232))+~P144(f822(f822(f318(x78233),x78232),f822(f164(x78233),f169(x78233,x78231,x78234))))
% 218.59/218.71 [7937]~P144(f822(f822(f318(f887(x79371)),f822(f822(f143(x79371),x79372),x79374)),f153(x79371,x79373)))+P144(f822(f822(f318(x79371),x79372),x79373))
% 218.59/218.71 [8067]~P144(f822(f822(f318(x80671),x80672),f822(f164(x80671),f168(x80671,x80673,x80674))))+P144(f822(f822(f318(x80671),x80672),f822(f164(x80671),x80673)))
% 218.59/218.71 [8068]~P144(f822(f822(f318(x80681),x80682),f822(f164(x80681),f162(x80681,x80684,x80683))))+P144(f822(f822(f318(x80681),x80682),f822(f164(x80681),x80683)))
% 218.59/218.71 [8069]~P144(f822(f822(f318(x80691),x80692),f822(f164(x80691),f169(x80691,x80694,x80693))))+P144(f822(f822(f318(x80691),x80692),f822(f164(x80691),x80693)))
% 218.59/218.71 [8079]E(f822(f183(f887(x80791)),x80792),x80793)+~P144(f822(f822(f318(f887(x80791)),x80792),f822(f164(f887(x80791)),f54(x80791,x80793,x80794))))
% 218.59/218.71 [8174]P144(f822(x81743,x81742))+E(f822(f128(x81741,f822(f822(f10(a882,a882,x81741),a311),f822(a314,x81742))),f822(f128(x81741,x81743),x81744)),f822(f128(x81741,x81743),x81744))
% 218.59/218.71 [8286]E(f822(f822(f156(x82861),f169(x82861,x82862,x82863)),x82864),f822(f822(f156(x82861),x82863),x82864))+~P144(f822(f822(f227(a885),x82864),f822(f183(f887(x82861)),f169(x82861,x82862,x82863))))
% 218.59/218.71 [8372]~P72(x83721)+E(f822(f822(f8(a885,x83721),f822(f822(f10(a885,x83721,a885),x83722),a107)),f822(f291(a885,x83723),x83724)),f822(f822(f8(a885,x83721),x83722),f822(f291(a885,f822(a107,x83723)),f822(a107,x83724))))
% 218.59/218.71 [8380]~P72(x83801)+E(f822(f822(f8(a885,x83801),f822(f822(f10(a885,x83801,a885),x83802),a107)),f292(a885,x83803,x83804)),f822(f822(f8(a885,x83801),x83802),f292(a885,f822(a107,x83803),f822(a107,x83804))))
% 218.59/218.71 [8504]~P26(x85041,x85043,x85044,f233(f892(x85041,a882)))+P26(x85041,f892(x85042,x85043),f822(f822(f10(x85043,f892(x85042,x85043),x85041),f18(x85043,x85042)),x85044),f233(f892(x85041,a882)))
% 218.59/218.71 [8589]~P26(x85892,x85891,x85894,x85893)+E(f822(f299(x85891,x85892,f76(x85892,x85891,x85893,x85894)),f822(f299(x85892,x85891,x85894),x85893)),x85893)
% 218.59/218.71 [8649]~P144(f822(f822(f318(f891(x86491,x86491)),f822(f822(f243(x86491,x86491),x86492),x86494)),f254(x86491,x86493)))+P144(f822(f822(f318(x86491),x86492),x86493))
% 218.59/218.71 [8857]~E(f822(f822(f8(x88571,a885),x88574),x88573),f822(a107,x88572))+P144(f822(f822(f318(x88571),f335(x88572,x88573,x88574,x88571)),x88573))
% 218.59/218.71 [8876]~E(f822(f822(f8(x88764,a885),x88761),x88763),f822(a107,x88762))+P144(f822(f822(f227(a885),f2(a885)),f822(x88761,f335(x88762,x88763,x88761,x88764))))
% 218.59/218.71 [8887]~P144(f822(f60(x88872),x88874))+P144(f822(f822(f226(a885),f822(f34(x88871),f822(f299(x88872,x88871,x88873),x88874))),f822(f34(x88872),x88874)))
% 218.59/218.71 [8888]E(f822(f822(f243(x88881,x88882),f658(x88883,x88884,x88882,x88881)),f659(x88883,x88884,x88882,x88881)),x88884)+~P144(f822(f822(f318(f891(x88881,x88882)),x88884),f822(f275(x88882,x88881),x88883)))
% 218.59/218.71 [8896]P26(x88961,x88962,x88963,x88964)+P144(f822(f822(f318(x88961),f477(x88964,x88963,x88962,x88961)),x88964))
% 218.59/218.71 [8897]P26(x88971,x88972,x88973,x88974)+P144(f822(f822(f318(x88971),f479(x88974,x88973,x88972,x88971)),x88974))
% 218.59/218.71 [8963]P13(x89631,x89632,x89633,x89634)+P144(f822(f822(f318(f891(x89631,x89631)),f554(x89634,x89633,x89632,x89631)),x89633))
% 218.59/218.71 [9014]P144(f822(x90141,x90142))+~P144(f822(x90141,f822(f822(f243(x90143,x90144),f851(x90144,x90143,x90141)),f852(x90144,x90143,x90141))))
% 218.59/218.71 [9030]E(f822(f183(f887(x90301)),x90302),f822(f183(f887(x90301)),x90303))+~P144(f822(f822(f318(f891(f887(x90301),f887(x90301))),f822(f822(f243(f887(x90301),f887(x90301)),x90302),x90303)),f137(x90301,x90304)))
% 218.59/218.71 [9031]E(f822(f183(f887(x90311)),x90312),f822(f183(f887(x90311)),x90313))+~P144(f822(f822(f318(f891(f887(x90311),f887(x90311))),f822(f822(f243(f887(x90311),f887(x90311)),x90312),x90313)),f149(x90311,x90314)))
% 218.59/218.71 [9034]E(f822(f183(f887(x90341)),x90342),f822(f183(f887(x90341)),x90343))+~P144(f822(f822(f318(f891(f887(x90341),f887(x90341))),f822(f822(f243(f887(x90341),f887(x90341)),x90342),x90343)),f150(x90341,x90344)))
% 218.59/218.71 [9104]P144(f822(f822(f226(a885),f147(x91041,x91042,x91043)),f147(x91041,x91044,x91043)))+P144(f822(f822(f318(x91041),f710(x91044,x91042,x91043,x91041)),f822(f164(x91041),x91043)))
% 218.59/218.71 [9107]E(f822(f183(f887(x91071)),x91072),f822(f183(f887(x91071)),x91073))+~P144(f822(f822(f318(f891(f887(x91071),f887(x91071))),f822(f822(f243(f887(x91071),f887(x91071)),x91072),x91073)),f296(f887(x91071),f149(x91071,x91074))))
% 218.59/218.71 [9234]P144(f822(f822(f276(a885),x92341),x92342))+P144(f822(f822(f226(f892(a885,a882)),f279(a885,f276(a885),x92341,x92342)),f279(a885,f276(a885),x92343,x92344)))
% 218.59/218.71 [9350]~P26(x93501,x93502,x93503,x93504)+~P144(f822(f822(f227(a885),f822(f34(x93502),f822(f299(x93501,x93502,x93503),x93504))),f822(f34(x93501),x93504)))
% 218.59/218.71 [9395]~P144(f822(f822(f318(f891(f887(x93951),f887(x93951))),f822(f822(f243(f887(x93951),f887(x93951)),x93952),x93953)),f149(x93951,x93954)))+P144(f822(f822(f318(f891(f887(x93951),f887(x93951))),f822(f822(f243(f887(x93951),f887(x93951)),x93952),x93953)),f150(x93951,f296(x93951,x93954))))
% 218.59/218.71 [9399]~P144(f822(f822(f318(f891(f887(x93991),f887(x93991))),f822(f822(f243(f887(x93991),f887(x93991)),x93992),x93993)),f150(x93991,x93994)))+P144(f822(f822(f318(f891(f887(x93991),f887(x93991))),f822(f822(f243(f887(x93991),f887(x93991)),x93992),x93993)),f296(f887(x93991),f149(x93991,x93994))))
% 218.59/218.71 [9415]P144(f822(f822(f318(f891(x94151,x94151)),f822(f822(f243(x94151,x94151),x94152),x94153)),f296(x94151,x94154)))+~P144(f822(f822(f318(f891(x94151,x94151)),f822(f822(f243(x94151,x94151),x94152),x94153)),f822(f822(f278(x94151,x94151,x94151),x94154),f296(x94151,x94154))))
% 218.59/218.71 [9486]P144(f822(f822(f276(a885),x94861),x94862))+~P144(f822(f822(f227(f892(a885,a882)),f279(a885,f276(a885),x94863,x94864)),f279(a885,f276(a885),x94861,x94862)))
% 218.59/218.71 [9601]E(f822(f822(f126(x96011),f693(x96012,x96013,x96014,x96011)),f822(f822(f143(x96011),f694(x96012,x96013,x96014,x96011)),f696(x96012,x96013,x96014,x96011))),x96014)+~P144(f822(f822(f318(f891(f887(x96011),f887(x96011))),f822(f822(f243(f887(x96011),f887(x96011)),x96014),x96013)),f149(x96011,x96012)))
% 218.59/218.71 [9602]E(f822(f822(f126(x96021),f693(x96022,x96023,x96024,x96021)),f822(f822(f143(x96021),f695(x96022,x96023,x96024,x96021)),f696(x96022,x96023,x96024,x96021))),x96023)+~P144(f822(f822(f318(f891(f887(x96021),f887(x96021))),f822(f822(f243(f887(x96021),f887(x96021)),x96024),x96023)),f149(x96021,x96022)))
% 218.59/218.71 [9679]P144(f822(f822(f318(f891(x96791,x96791)),f822(f822(f243(x96791,x96791),x96792),f645(x96793,x96794,x96792,x96791))),f296(x96791,x96793)))+~P144(f822(f822(f318(f891(x96791,x96791)),f822(f822(f243(x96791,x96791),x96792),x96794)),f822(f822(f278(x96791,x96791,x96791),x96793),f296(x96791,x96793))))
% 218.59/218.71 [9750]P144(f822(f822(f226(a885),f147(x97501,x97502,x97503)),f147(x97501,x97504,x97503)))+~P144(f822(f822(f227(a885),f822(x97502,f710(x97504,x97502,x97503,x97501))),f822(x97504,f710(x97504,x97502,x97503,x97501))))
% 218.59/218.71 [9825]P144(f822(f822(f318(f891(x98251,x98251)),f822(f822(f243(x98251,x98251),f638(x98252,x98253,x98254,x98251)),x98253)),f296(x98251,x98252)))+~P144(f822(f822(f318(f891(x98251,x98251)),f822(f822(f243(x98251,x98251),x98254),x98253)),f822(f822(f278(x98251,x98251,x98251),x98252),f296(x98251,x98252))))
% 218.59/218.71 [5199]~E(x51992,x51993)+E(f162(x51991,x51992,f822(f822(f143(x51991),x51993),x51994)),x51994)
% 218.59/218.71 [5332]P144(f822(x53322,x53323))+E(f169(x53321,x53322,f822(f822(f143(x53321),x53323),x53324)),f108(x53321))
% 218.59/218.71 [5400]~P89(x54002)+E(f822(f822(f78(f892(x54001,x54002)),x54003),x54004),f822(f78(x54002),f822(x54003,x54004)))
% 218.59/218.71 [5411]~E(x54112,f2(a885))+E(f822(f822(f130(x54111),x54112),f822(f822(f143(x54111),x54113),x54114)),f822(f822(f143(x54111),x54113),x54114))
% 218.59/218.71 [5412]P144(f822(x54122,x54123))+E(f822(f128(x54121,x54122),f822(f822(f143(x54121),x54123),x54124)),f822(f128(x54121,x54122),x54124))
% 218.59/218.71 [5551]~E(x55512,x55514)+P144(f822(f822(f822(f298(x55511),x55512),x55513),x55514))
% 218.59/218.71 [5559]E(x55591,f108(x55592))+E(f136(x55593,f822(f822(f146(x55592,x55593),x55594),x55591)),f822(x55594,f136(x55592,x55591)))
% 218.59/218.71 [5573]~E(x55731,f62(x55732,x55734))+E(f822(x55731,f822(f822(f298(x55732),x55733),f182(f892(x55732,a882)))),x55733)
% 218.59/218.71 [5609]E(x56091,f108(x56092))+E(f822(f133(x56093),f822(f822(f146(x56092,x56093),x56094),x56091)),f822(x56094,f822(f133(x56092),x56091)))
% 218.59/218.71 [5713]~P144(f822(x57133,x57134))+P144(f822(f822(f822(f298(x57131),x57132),x57133),x57134))
% 218.59/218.71 [5843]~P20(x58432,x58434,x58431)+E(f822(x58431,f822(f822(f298(x58432),x58433),f182(f892(x58432,a882)))),x58433)
% 218.59/218.71 [5868]~E(x58682,x58683)+P144(f822(f822(f318(x58681),x58682),f822(f822(f298(x58681),x58683),x58684)))
% 218.59/218.71 [5872]~P112(x58721)+E(f822(f822(f79(x58721),x58722),f822(f822(f79(x58721),x58723),x58724)),f822(f822(f79(x58721),x58723),f822(f822(f79(x58721),x58722),x58724)))
% 218.59/218.71 [5873]~P112(x58731)+E(f822(f822(f80(x58731),x58732),f822(f822(f80(x58731),x58733),x58734)),f822(f822(f80(x58731),x58733),f822(f822(f80(x58731),x58732),x58734)))
% 218.59/218.71 [5875]~P92(x58751)+E(f822(f822(f230(x58751),x58752),f822(f822(f230(x58751),x58753),x58754)),f822(f822(f230(x58751),x58753),f822(f822(f230(x58751),x58752),x58754)))
% 218.59/218.71 [5877]~P92(x58771)+E(f822(f822(f181(x58771),x58772),f822(f822(f181(x58771),x58773),x58774)),f822(f822(f181(x58771),x58773),f822(f822(f181(x58771),x58772),x58774)))
% 218.59/218.71 [5879]~P99(x58791)+E(f822(f822(f96(x58791),x58792),f822(f822(f96(x58791),x58793),x58794)),f822(f822(f96(x58791),x58793),f822(f822(f96(x58791),x58792),x58794)))
% 218.59/218.71 [5880]~P100(x58801)+E(f822(f822(f96(x58801),x58802),f822(f822(f96(x58801),x58803),x58804)),f822(f822(f96(x58801),x58803),f822(f822(f96(x58801),x58802),x58804)))
% 218.59/218.71 [5881]~P100(x58811)+E(f822(f822(f97(x58811),x58812),f822(f822(f97(x58811),x58813),x58814)),f822(f822(f97(x58811),x58813),f822(f822(f97(x58811),x58812),x58814)))
% 218.59/218.71 [5883]~P105(x58831)+E(f822(f822(f97(x58831),x58832),f822(f822(f97(x58831),x58833),x58834)),f822(f822(f97(x58831),x58833),f822(f822(f97(x58831),x58832),x58834)))
% 218.59/218.71 [5890]E(x58901,x58902)+E(f162(x58903,x58901,f822(f822(f143(x58903),x58902),x58904)),f822(f822(f143(x58903),x58902),f162(x58903,x58901,x58904)))
% 218.59/218.71 [5905]~P144(f822(x59052,x59053))+E(f822(f128(x59051,x59052),f822(f822(f143(x59051),x59053),x59054)),f822(f822(f143(x59051),x59053),f822(f128(x59051,x59052),x59054)))
% 218.59/218.71 [6045]~P144(f822(x60452,x60453))+E(f169(x60451,x60452,f822(f822(f143(x60451),x60453),x60454)),f822(f822(f143(x60451),x60453),f169(x60451,x60452,x60454)))
% 218.59/218.71 [6111]E(x61111,f182(f892(x61112,a882)))+E(f822(f822(f38(x61112,f892(x61113,a882)),x61111),f822(f18(f892(x61113,a882),x61112),x61114)),x61114)
% 218.59/218.71 [6112]E(x61121,f182(f892(x61122,a882)))+E(f822(f822(f39(x61122,f892(x61123,a882)),x61121),f822(f18(f892(x61123,a882),x61122),x61124)),x61124)
% 218.59/218.71 [6121]~E(x61214,f182(f892(x61212,a882)))+E(f822(f822(f245(x61211,x61212),x61213),f822(f18(f892(x61212,a882),x61211),x61214)),f182(f892(f891(x61211,x61212),a882)))
% 218.59/218.71 [6122]~E(x61223,f182(f892(x61221,a882)))+E(f822(f822(f245(x61221,x61222),x61223),f822(f18(f892(x61222,a882),x61221),x61224)),f182(f892(f891(x61221,x61222),a882)))
% 218.59/218.71 [6179]E(x61791,f2(a885))+E(f822(f822(f130(x61792),x61791),f822(f822(f143(x61792),x61793),x61794)),f822(f822(f130(x61792),f822(f822(f3(a885),x61791),f77(a885))),x61794))
% 218.59/218.71 [6201]E(x62011,f182(f892(x62012,a882)))+E(f822(f299(x62012,x62013,f822(f18(x62013,x62012),x62014)),x62011),f822(f822(f298(x62013),x62014),f182(f892(x62013,a882))))
% 218.59/218.71 [6204]E(f822(f300(x62041,x62042,f822(f18(x62042,x62041),x62043)),x62044),f182(f892(x62041,a882)))+P144(f822(f822(f318(x62042),x62043),x62044))
% 218.59/218.71 [6272]~E(x62723,f182(f892(x62721,a882)))+E(f822(f822(f38(x62721,f892(x62722,a882)),x62723),f822(f18(f892(x62722,a882),x62721),x62724)),f182(f892(x62722,a882)))
% 218.59/218.71 [6273]~E(x62733,f182(f892(x62731,a882)))+E(f822(f822(f39(x62731,f892(x62732,a882)),x62733),f822(f18(f892(x62732,a882),x62731),x62734)),f233(f892(x62732,a882)))
% 218.59/218.71 [6275]~P5(x62751)+E(f44(x62751,f822(f822(f80(x62751),x62752),x62753),f822(f822(f80(x62751),x62752),x62754)),f822(f822(f80(x62751),x62752),f44(x62751,x62753,x62754)))
% 218.59/218.71 [6458]E(f822(f300(x64581,x64582,f822(f18(x64582,x64581),x64583)),x64584),f233(f892(x64581,a882)))+~P144(f822(f822(f318(x64582),x64583),x64584))
% 218.59/218.71 [6482]~P144(f822(f822(f318(x64821),x64822),x64824))+P144(f822(f822(f318(x64821),x64822),f822(f822(f298(x64821),x64823),x64824)))
% 218.59/218.71 [6487]P144(f822(x64871,x64872))+~P144(f822(f152(x64873,x64871),f822(f822(f143(x64873),x64872),x64874)))
% 218.59/218.71 [6496]~E(x64963,f822(f822(f3(a885),f822(f183(f887(x64961)),x64962)),f77(a885)))+E(f109(x64961,f822(f822(f151(x64961,x64962),x64963),x64964)),f109(x64961,x64962))
% 218.59/218.71 [6520]~P92(x65201)+E(f822(f822(f97(f892(x65201,a882)),f822(f290(x65201),x65202)),f292(x65201,x65203,x65204)),f292(x65201,x65203,f822(f822(f230(x65201),x65202),x65204)))
% 218.59/218.71 [6521]~P92(x65211)+E(f822(f822(f97(f892(x65211,a882)),f822(f272(x65211),x65212)),f292(x65211,x65213,x65214)),f292(x65211,f822(f822(f181(x65211),x65212),x65213),x65214))
% 218.59/218.71 [6536]E(f822(f822(f97(f892(x65361,a882)),x65362),f822(f822(f298(x65361),x65363),x65364)),f822(f822(f97(f892(x65361,a882)),x65362),x65364))+P144(f822(f822(f318(x65361),x65363),x65362))
% 218.59/218.71 [6548]E(f162(x65481,x65482,f822(f822(f126(x65481),x65483),x65484)),f822(f822(f126(x65481),x65483),f162(x65481,x65482,x65484)))+P144(f822(f822(f318(x65481),x65482),f822(f164(x65481),x65483)))
% 218.59/218.71 [6554]~P82(x65541)+E(f822(f822(f80(x65541),f822(f822(f235(x65541),x65542),x65543)),f822(f822(f235(x65541),x65542),x65544)),f822(f822(f235(x65541),x65542),f822(f822(f79(a885),x65543),x65544)))
% 218.59/218.71 [6555]~P112(x65551)+E(f822(f822(f80(x65551),f822(f822(f235(x65551),x65552),x65553)),f822(f822(f235(x65551),x65552),x65554)),f822(f822(f235(x65551),x65552),f822(f822(f79(a885),x65553),x65554)))
% 218.59/218.71 [6592]~P112(x65921)+E(f822(f822(f79(x65921),f822(f822(f80(x65921),x65922),x65923)),f822(f822(f80(x65921),x65922),x65924)),f822(f822(f80(x65921),x65922),f822(f822(f79(x65921),x65923),x65924)))
% 218.59/218.71 [6593]~P92(x65931)+E(f822(f822(f181(x65931),f822(f822(f230(x65931),x65932),x65933)),f822(f822(f230(x65931),x65932),x65934)),f822(f822(f230(x65931),x65932),f822(f822(f181(x65931),x65933),x65934)))
% 218.59/218.71 [6594]~P92(x65941)+E(f822(f822(f230(x65941),f822(f822(f181(x65941),x65942),x65943)),f822(f822(f181(x65941),x65942),x65944)),f822(f822(f181(x65941),x65942),f822(f822(f230(x65941),x65943),x65944)))
% 218.59/218.71 [6595]~P104(x65951)+E(f822(f822(f97(x65951),f822(f822(f96(x65951),x65952),x65953)),f822(f822(f96(x65951),x65952),x65954)),f822(f822(f96(x65951),x65952),f822(f822(f97(x65951),x65953),x65954)))
% 218.59/218.71 [6596]~P104(x65961)+E(f822(f822(f96(x65961),f822(f822(f97(x65961),x65962),x65963)),f822(f822(f97(x65961),x65962),x65964)),f822(f822(f97(x65961),x65962),f822(f822(f96(x65961),x65963),x65964)))
% 218.59/218.71 [6630]~P5(x66301)+E(f44(x66301,f822(f822(f80(x66301),x66302),x66303),f822(f822(f80(x66301),x66304),x66303)),f822(f822(f80(x66301),f44(x66301,x66302,x66304)),x66303))
% 218.59/218.71 [6633]~E(f822(f183(f887(x66331)),x66333),f822(f183(f887(x66332)),x66334))+E(f822(f822(f146(f891(x66331,x66332),x66332),f247(x66331,x66332)),f822(f822(f173(x66331,x66332),x66333),x66334)),x66334)
% 218.59/218.71 [6634]~E(f822(f183(f887(x66341)),x66343),f822(f183(f887(x66342)),x66344))+E(f822(f822(f146(f891(x66341,x66342),x66341),f242(x66341,x66342)),f822(f822(f173(x66341,x66342),x66343),x66344)),x66343)
% 218.59/218.71 [6639]P144(f822(f152(x66391,x66392),x66393))+~P144(f822(f152(x66391,x66392),f822(f822(f143(x66391),x66394),x66393)))
% 218.59/218.71 [6640]P144(f822(f152(x66401,x66402),x66403))+~P144(f822(f152(x66401,x66402),f822(f822(f126(x66401),x66404),x66403)))
% 218.59/218.71 [6641]P144(f822(f152(x66411,x66412),x66413))+~P144(f822(f152(x66411,x66412),f822(f822(f126(x66411),x66413),x66414)))
% 218.59/218.71 [6648]~P5(x66481)+E(f44(x66481,f822(f822(f80(x66481),x66482),f44(x66481,x66483,x66484)),x66484),f44(x66481,f822(f822(f80(x66481),x66482),x66483),x66484))
% 218.59/218.71 [6649]~P6(x66491)+E(f44(x66491,f822(f822(f3(x66491),x66492),f44(x66491,x66493,x66494)),x66494),f44(x66491,f822(f822(f3(x66491),x66492),x66493),x66494))
% 218.59/218.71 [6650]~P5(x66501)+E(f44(x66501,f822(f822(f79(x66501),x66502),f44(x66501,x66503,x66504)),x66504),f44(x66501,f822(f822(f79(x66501),x66502),x66503),x66504))
% 218.59/218.71 [6735]~P92(x67351)+E(f822(f822(f97(f892(x67351,a882)),f292(x67351,x67352,x67353)),f822(f290(x67351),x67354)),f292(x67351,x67352,f822(f822(f230(x67351),x67353),x67354)))
% 218.59/218.71 [6736]~P92(x67361)+E(f822(f822(f97(f892(x67361,a882)),f292(x67361,x67362,x67363)),f822(f272(x67361),x67364)),f292(x67361,f822(f822(f181(x67361),x67362),x67364),x67363))
% 218.59/218.71 [6739]~E(f822(f183(f887(x67391)),x67393),f822(f183(f887(x67392)),x67394))+E(f822(f822(f173(x67391,x67392),f822(f160(x67391),x67393)),f822(f160(x67392),x67394)),f822(f160(f891(x67391,x67392)),f822(f822(f173(x67391,x67392),x67393),x67394)))
% 218.59/218.71 [6750]E(x67501,f822(f822(f3(a885),f822(f183(f887(x67502)),x67503)),f77(a885)))+E(f109(x67502,f822(f822(f151(x67502,x67503),x67501),x67504)),f822(f822(f151(x67502,f109(x67502,x67503)),x67501),x67504))
% 218.59/218.71 [6766]~P144(f822(f129(x67662),x67664))+P144(f822(f129(f891(x67661,x67662)),f822(f822(f173(x67661,x67662),x67663),x67664)))
% 218.59/218.71 [6767]~P144(f822(f129(x67671),x67673))+P144(f822(f129(f891(x67671,x67672)),f822(f822(f173(x67671,x67672),x67673),x67674)))
% 218.59/218.71 [7044]E(f822(f822(f35(a885),x70441),x70442),x70443)+~P144(f822(f47(x70441,x70442),f822(f822(f243(a885,a885),x70443),x70444)))
% 218.59/218.71 [7069]E(f44(a885,x70691,x70692),x70693)+~P144(f822(f47(x70691,x70692),f822(f822(f243(a885,a885),x70694),x70693)))
% 218.59/218.71 [7072]P144(f822(f129(x70721),x70722))+~P144(f822(f129(x70723),f822(f822(f146(x70721,x70723),x70724),x70722)))
% 218.59/218.71 [7155]E(f162(x71551,x71552,f822(f822(f126(x71551),x71553),x71554)),f822(f822(f126(x71551),f162(x71551,x71552,x71553)),x71554))+~P144(f822(f822(f318(x71551),x71552),f822(f164(x71551),x71553)))
% 218.59/218.71 [7252]~P6(x72521)+E(f44(x72521,f822(f822(f3(x72521),f44(x72521,x72522,x72523)),x72524),x72523),f44(x72521,f822(f822(f3(x72521),x72522),x72524),x72523))
% 218.59/218.71 [7253]~P5(x72531)+E(f44(x72531,f822(f822(f79(x72531),f44(x72531,x72532,x72533)),x72534),x72533),f44(x72531,f822(f822(f79(x72531),x72532),x72534),x72533))
% 218.59/218.71 [7254]~P5(x72541)+E(f44(x72541,f822(f822(f80(x72541),f44(x72541,x72542,x72543)),x72544),x72543),f44(x72541,f822(f822(f80(x72541),x72542),x72544),x72543))
% 218.59/218.71 [7459]~E(x74591,f822(f822(f143(x74592),x74593),x74594))+~P144(f822(f822(f226(a885),f822(f183(f887(x74592)),x74591)),f822(f183(f887(x74592)),x74594)))
% 218.59/218.71 [7671]P26(x76711,x76712,x76713,f822(f164(x76711),x76714))+~P144(f822(f129(x76712),f822(f822(f146(x76711,x76712),x76713),x76714)))
% 218.59/218.71 [7746]~P144(f822(f822(f226(f892(x77461,a882)),x77462),x77464))+P144(f822(f822(f226(f892(x77461,a882)),x77462),f822(f822(f298(x77461),x77463),x77464)))
% 218.59/218.71 [7782]~P5(x77821)+E(f44(x77821,f822(f822(f79(x77821),f44(x77821,x77822,x77823)),f44(x77821,x77824,x77823)),x77823),f44(x77821,f822(f822(f79(x77821),x77822),x77824),x77823))
% 218.59/218.71 [7783]~P5(x77831)+E(f44(x77831,f822(f822(f80(x77831),f44(x77831,x77832,x77833)),f44(x77831,x77834,x77833)),x77833),f44(x77831,f822(f822(f80(x77831),x77832),x77834),x77833))
% 218.59/218.71 [7784]~P6(x77841)+E(f44(x77841,f822(f822(f3(x77841),f44(x77841,x77842,x77843)),f44(x77841,x77844,x77843)),x77843),f44(x77841,f822(f822(f3(x77841),x77842),x77844),x77843))
% 218.59/218.71 [7887]~E(f822(x78874,f591(x78874,x78873,x78871,x78872)),f233(f892(x78872,a882)))+E(f822(f822(f39(x78871,f892(x78872,a882)),x78873),x78874),f233(f892(x78872,a882)))
% 218.59/218.71 [7888]~E(f822(x78884,f373(x78884,x78883,x78881,x78882)),f182(f892(x78882,a882)))+E(f822(f822(f38(x78881,f892(x78882,a882)),x78883),x78884),f182(f892(x78882,a882)))
% 218.59/218.71 [7889]~E(f822(x78894,f374(x78894,x78893,x78892,x78891)),f182(f892(x78892,a882)))+E(f822(f822(f38(x78891,f892(x78892,a882)),x78893),x78894),f182(f892(x78892,a882)))
% 218.59/218.71 [7890]~E(f822(x78904,f592(x78904,x78903,x78902,x78901)),f233(f892(x78902,a882)))+E(f822(f822(f39(x78901,f892(x78902,a882)),x78903),x78904),f233(f892(x78902,a882)))
% 218.59/218.71 [8287]P144(f822(x82871,x82872))+~P144(f822(f822(f318(x82873),x82872),f822(f822(f97(f892(x82873,a882)),x82874),f822(f253(x82873),x82871))))
% 218.59/218.71 [8324]~P144(f822(f822(f226(f892(x83241,a882)),x83243),x83244))+P144(f822(f822(f226(f892(x83241,a882)),f822(f822(f298(x83241),x83242),x83243)),f822(f822(f298(x83241),x83242),x83244)))
% 218.59/218.71 [8497]P144(f822(x84972,x84973))+E(f822(f822(f130(x84971),f822(f183(f887(x84971)),f169(x84971,x84972,f822(f822(f143(x84971),x84973),x84974)))),f822(f822(f143(x84971),x84973),x84974)),f822(f822(f143(x84971),x84973),x84974))
% 218.59/218.71 [8603]~P144(f822(f822(f227(a885),f822(x86034,x86032)),f822(x86034,x86033)))+P144(f822(f822(f318(f891(x86031,x86031)),f822(f822(f243(x86031,x86031),x86032),x86033)),f822(f822(f277(a885,x86031),a231),x86034)))
% 218.59/218.71 [8694]~P144(f822(x86942,f758(x86944,x86942,x86943,x86941)))+E(f169(x86941,x86942,f822(f822(f126(x86941),x86943),x86944)),f822(f822(f126(x86941),x86943),f169(x86941,x86942,x86944)))
% 218.59/218.71 [8760]P26(f887(x87601),f887(x87602),f822(f146(x87601,x87602),x87603),x87604)+~P26(x87601,x87602,x87603,f36(f892(x87601,a882),f822(f299(f887(x87601),f892(x87601,a882),f164(x87601)),x87604)))
% 218.59/218.71 [8828]~P144(f822(x88282,x88283))+E(f822(f822(f130(x88281),f822(f183(f887(x88281)),f169(x88281,x88282,f822(f822(f143(x88281),x88283),x88284)))),f822(f822(f143(x88281),x88283),x88284)),f822(f822(f130(x88281),f822(f183(f887(x88281)),f169(x88281,x88282,x88284))),x88284))
% 218.59/218.71 [8867]~E(x88672,x88673)+E(f822(f128(x88671,f822(f822(f10(a882,a882,x88671),a311),f822(a314,x88672))),f822(f822(f143(x88671),x88673),x88674)),f822(f128(x88671,f822(f822(f10(a882,a882,x88671),a311),f822(a314,x88672))),x88674))
% 218.59/218.71 [8877]E(f822(f822(f39(x88771,f892(x88772,a882)),x88773),x88774),f233(f892(x88772,a882)))+P144(f822(f822(f318(x88771),f591(x88774,x88773,x88771,x88772)),x88773))
% 218.59/218.71 [8878]E(f822(f822(f38(x88781,f892(x88782,a882)),x88783),x88784),f182(f892(x88782,a882)))+P144(f822(f822(f318(x88781),f373(x88784,x88783,x88781,x88782)),x88783))
% 218.59/218.71 [8879]E(f822(f822(f38(x88791,f892(x88792,a882)),x88793),x88794),f182(f892(x88792,a882)))+P144(f822(f822(f318(x88791),f374(x88794,x88793,x88792,x88791)),x88793))
% 218.59/218.71 [8880]E(f822(f822(f39(x88801,f892(x88802,a882)),x88803),x88804),f233(f892(x88802,a882)))+P144(f822(f822(f318(x88801),f592(x88804,x88803,x88802,x88801)),x88803))
% 218.59/218.71 [8916]P144(f822(f822(f227(a885),f822(x89161,x89162)),f822(x89161,x89163)))+~P144(f822(f822(f318(f891(x89164,x89164)),f822(f822(f243(x89164,x89164),x89162),x89163)),f822(f822(f277(a885,x89164),a231),x89161)))
% 218.59/218.71 [8942]E(f169(x89421,x89422,f822(f822(f126(x89421),x89423),x89424)),f822(f822(f126(x89421),x89423),f169(x89421,x89422,x89424)))+P144(f822(f822(f318(x89421),f758(x89424,x89422,x89423,x89421)),f822(f164(x89421),x89423)))
% 218.59/218.71 [9093]P144(f822(f822(f318(x90931),f458(x90932,x90933,x90934,x90931)),x90933))+~P144(f822(f822(f318(f892(x90931,a882)),x90934),f822(f822(f59(x90931),x90933),x90932)))
% 218.59/218.71 [9096]E(x90961,x90962)+~P144(f822(f822(f318(f891(x90963,x90963)),f822(f822(f243(x90963,x90963),x90961),x90962)),f822(f822(f175(f891(x90963,x90963),a882),f2(a885)),x90964)))
% 218.59/218.71 [9175]E(f822(f274(x91751,x91751,x91752),f822(f822(f298(x91751),f458(x91752,x91753,x91754,x91751)),f182(f892(x91751,a882)))),x91754)+~P144(f822(f822(f318(f892(x91751,a882)),x91754),f822(f822(f59(x91751),x91753),x91752)))
% 218.59/218.71 [9188]~P144(f822(f822(f318(f891(x91881,x91881)),f822(f822(f243(x91881,x91881),x91883),x91882)),f296(x91881,x91884)))+P144(f822(f822(f318(f891(x91881,x91881)),f822(f822(f243(x91881,x91881),x91882),x91883)),f296(x91881,f822(f275(x91881,x91881),x91884))))
% 218.59/218.71 [9205]~P5(x92051)+E(f822(f822(f79(x92051),f822(f822(f79(x92051),f822(f822(f80(x92051),x92052),f822(f822(f35(x92051),x92053),x92052))),f44(x92051,x92053,x92052))),x92054),f822(f822(f79(x92051),x92053),x92054))
% 218.59/218.71 [9215]~P144(f822(f822(f318(x92151),x92153),x92154))+P144(f822(f822(f318(f892(x92151,a882)),f822(f274(x92151,x92151,x92152),f822(f822(f298(x92151),x92153),f182(f892(x92151,a882))))),f822(f822(f59(x92151),x92154),x92152)))
% 218.59/218.71 [9227]P144(f822(f822(f318(f891(x92271,x92271)),f822(f822(f243(x92271,x92271),x92272),x92273)),f296(x92271,x92274)))+~P144(f822(f822(f318(f891(x92271,x92271)),f822(f822(f243(x92271,x92271),x92273),x92272)),f296(x92271,f822(f275(x92271,x92271),x92274))))
% 218.59/218.71 [9311]E(f822(f822(f151(x93111,f822(f160(x93111),x93112)),f822(f822(f3(a885),f822(f822(f3(a885),f822(f183(f887(x93111)),x93112)),x93113)),f77(a885))),x93114),f822(f160(x93111),f822(f822(f151(x93111,x93112),x93113),x93114)))+~P144(f822(f822(f227(a885),x93113),f822(f183(f887(x93111)),x93112)))
% 218.59/218.71 [9314]~P144(f822(x93142,f751(x93144,x93142,x93143,x93141)))+E(f822(f822(f130(x93141),f822(f183(f887(x93141)),f169(x93141,x93142,f822(f822(f126(x93141),x93143),x93144)))),f822(f822(f126(x93141),x93143),x93144)),f822(f822(f130(x93141),f822(f183(f887(x93141)),f169(x93141,x93142,x93144))),x93144))
% 218.59/218.71 [9356]~P26(x93562,x93561,x93563,f233(f892(x93562,a882)))+P144(f822(f822(f226(f892(x93561,a882)),f822(f299(x93562,x93561,x93563),f822(f78(f892(x93562,a882)),x93564))),f822(f78(f892(x93561,a882)),f822(f299(x93562,x93561,x93563),x93564))))
% 218.59/218.71 [9367]~P7(x93671)+E(f822(f134(x93671,x93672,f822(f9(x93672,x93671,x93671),f822(f822(f10(x93671,f892(x93671,x93671),x93672),f96(x93671)),x93673)),f182(x93671)),x93674),f822(f822(f38(x93672,x93671),f822(f164(x93672),x93674)),x93673))
% 218.59/218.71 [9368]~P7(x93681)+E(f822(f134(x93681,x93682,f822(f9(x93682,x93681,x93681),f822(f822(f10(x93681,f892(x93681,x93681),x93682),f97(x93681)),x93683)),f233(x93681)),x93684),f822(f822(f39(x93682,x93681),f822(f164(x93682),x93684)),x93683))
% 218.59/218.71 [9379]E(f822(f822(f130(x93791),f822(f183(f887(x93791)),f169(x93791,x93792,f822(f822(f126(x93791),x93793),x93794)))),f822(f822(f126(x93791),x93793),x93794)),f822(f822(f130(x93791),f822(f183(f887(x93791)),f169(x93791,x93792,x93794))),x93794))+P144(f822(f822(f318(x93791),f751(x93794,x93792,x93793,x93791)),f822(f164(x93791),x93793)))
% 218.59/218.71 [9447]~P144(f822(f822(f318(f891(f887(x94474),f887(x94474))),f822(f822(f243(f887(x94474),f887(x94474)),x94473),x94472)),f149(x94474,x94471)))+P144(f822(f822(f227(a885),f689(x94471,x94472,x94473,x94474)),f822(f183(f887(x94474)),x94473)))
% 218.59/218.71 [9448]~P5(x94481)+E(f822(f822(f79(x94481),f822(f822(f79(x94481),f822(f822(f80(x94481),f822(f822(f35(x94481),x94482),x94483)),x94483)),f44(x94481,x94482,x94483))),x94484),f822(f822(f79(x94481),x94482),x94484))
% 218.59/218.71 [9476]~P144(f822(f822(f318(f891(f887(x94761),f887(x94761))),f822(f822(f243(f887(x94761),f887(x94761)),x94762),x94763)),f822(f275(f887(x94761),f887(x94761)),f149(x94761,x94764))))+P144(f822(f822(f318(f891(f887(x94761),f887(x94761))),f822(f822(f243(f887(x94761),f887(x94761)),x94762),x94763)),f149(x94761,f822(f275(x94761,x94761),x94764))))
% 218.59/218.71 [9477]P144(f822(f822(f318(f891(f887(x94771),f887(x94771))),f822(f822(f243(f887(x94771),f887(x94771)),x94772),x94773)),f822(f275(f887(x94771),f887(x94771)),f149(x94771,x94774))))+~P144(f822(f822(f318(f891(f887(x94771),f887(x94771))),f822(f822(f243(f887(x94771),f887(x94771)),x94772),x94773)),f149(x94771,f822(f275(x94771,x94771),x94774))))
% 218.59/218.71 [9520]~P144(f822(f822(f318(x95201),x95203),f822(f255(x95201,x95202),x95204)))+P144(f822(f822(f318(f891(x95201,x95202)),f822(f822(f243(x95201,x95202),x95203),f546(x95204,x95202,x95203,x95201))),x95204))
% 218.59/218.71 [9521]~P144(f822(f822(f318(x95211),x95213),f822(f255(x95211,x95212),x95214)))+P144(f822(f822(f318(f891(x95211,x95212)),f822(f822(f243(x95211,x95212),x95213),f547(x95214,x95212,x95213,x95211))),x95214))
% 218.59/218.71 [9674]~P144(f822(f822(f318(f891(x96741,x96741)),f822(f822(f243(x96741,x96741),x96742),x96744)),f822(f822(f278(x96741,x96741,x96741),x96743),f296(x96741,x96743))))+P144(f822(f822(f318(f891(x96741,x96741)),f822(f822(f243(x96741,x96741),x96742),f638(x96743,x96744,x96742,x96741))),x96743))
% 218.59/218.71 [9848]~P144(f822(f822(f318(f891(x98482,x98481)),x98484),f822(f275(x98481,x98482),x98483)))+P144(f822(f822(f318(f891(x98481,x98482)),f822(f822(f243(x98481,x98482),f659(x98483,x98484,x98481,x98482)),f658(x98483,x98484,x98481,x98482))),x98483))
% 218.59/218.71 [9872]~P144(f822(f822(f318(f891(f887(x98721),f887(x98721))),f822(f822(f243(f887(x98721),f887(x98721)),x98724),x98723)),f149(x98721,x98722)))+P144(f822(f822(f318(f891(x98721,x98721)),f822(f822(f243(x98721,x98721),f694(x98722,x98723,x98724,x98721)),f695(x98722,x98723,x98724,x98721))),x98722))
% 218.59/218.71 [9957]~P144(f822(f822(f318(f891(f887(x99571),f887(x99571))),f822(f822(f243(f887(x99571),f887(x99571)),x99572),x99574)),f149(x99571,x99573)))+P144(f822(f822(f318(f891(x99571,x99571)),f822(f822(f243(x99571,x99571),f822(f822(f156(x99571),x99572),f689(x99573,x99574,x99572,x99571))),f690(x99573,x99574,x99572,x99571))),x99573))
% 218.59/218.71 [9977]~P144(f822(f60(x99772),x99774))+E(f822(f822(f822(f64(f892(x99771,a882),x99772,f96(f892(x99771,a882))),f822(f822(f9(x99772,f892(x99771,a882),f892(x99771,a882)),f822(f822(f10(x99771,f892(f892(x99771,a882),f892(x99771,a882)),x99772),f298(x99771)),x99773)),f182(f892(x99771,a882)))),f182(f892(x99771,a882))),x99774),f822(f299(x99772,x99771,x99773),x99774))
% 218.59/218.71 [10092]~P26(x100921,x100922,x100923,f233(f892(x100921,a882)))+P144(f822(f822(f226(f892(x100921,a882)),f822(f300(x100921,x100922,x100923),f822(f822(f298(x100922),x100924),f182(f892(x100922,a882))))),f822(f822(f298(x100921),f84(x100921,f822(f822(f9(x100921,x100922,a882),f822(f822(f10(x100922,f892(x100922,a882),x100921),a314),x100923)),x100924))),f182(f892(x100921,a882)))))
% 218.59/218.71 [5620]~E(f822(f822(f126(x56201),x56202),x56204),x56203)+E(f822(f822(f167(x56201),f822(f183(f887(x56201)),x56202)),x56203),x56202)
% 218.59/218.71 [5621]~E(f822(f822(f126(x56212),x56213),x56211),x56214)+E(x56211,f822(f822(f130(x56212),f822(f183(f887(x56212)),x56213)),x56214))
% 218.59/218.71 [5632]~E(x56324,f2(a885))+E(f822(f822(f156(x56321),f822(f822(f143(x56321),x56322),x56323)),x56324),x56322)
% 218.59/218.71 [6193]~P112(x61931)+E(f822(f822(f235(x61931),f822(f822(f235(x61931),x61932),x61933)),x61934),f822(f822(f235(x61931),x61932),f822(f822(f80(a885),x61933),x61934)))
% 218.59/218.71 [6194]~P82(x61941)+E(f822(f822(f235(x61941),f822(f822(f235(x61941),x61942),x61943)),x61944),f822(f822(f235(x61941),x61942),f822(f822(f80(a885),x61943),x61944)))
% 218.59/218.71 [6202]E(x62021,f2(a885))+E(f822(f822(f156(x62022),f822(f822(f143(x62022),x62023),x62024)),x62021),f822(f822(f156(x62022),x62024),f822(f822(f3(a885),x62021),f77(a885))))
% 218.59/218.71 [6231]~P121(x62311)+E(f822(f822(f280(x62311),f822(f822(f80(x62311),x62312),x62313)),x62314),f822(f822(f80(x62311),x62312),f822(f822(f280(x62311),x62313),x62314)))
% 218.59/218.71 [6232]~P3(x62321)+E(f822(f822(f79(x62321),f822(f822(f79(x62321),x62322),x62323)),x62324),f822(f822(f79(x62321),x62322),f822(f822(f79(x62321),x62323),x62324)))
% 218.59/218.71 [6233]~P112(x62331)+E(f822(f822(f79(x62331),f822(f822(f79(x62331),x62332),x62333)),x62334),f822(f822(f79(x62331),x62332),f822(f822(f79(x62331),x62333),x62334)))
% 218.59/218.71 [6234]~P112(x62341)+E(f822(f822(f80(x62341),f822(f822(f80(x62341),x62342),x62343)),x62344),f822(f822(f80(x62341),x62342),f822(f822(f80(x62341),x62343),x62344)))
% 218.59/218.71 [6235]~P70(x62351)+E(f822(f822(f80(x62351),f822(f822(f80(x62351),x62352),x62353)),x62354),f822(f822(f80(x62351),x62352),f822(f822(f80(x62351),x62353),x62354)))
% 218.59/218.71 [6238]~P92(x62381)+E(f822(f822(f230(x62381),f822(f822(f230(x62381),x62382),x62383)),x62384),f822(f822(f230(x62381),x62382),f822(f822(f230(x62381),x62383),x62384)))
% 218.59/218.71 [6240]~P92(x62401)+E(f822(f822(f181(x62401),f822(f822(f181(x62401),x62402),x62403)),x62404),f822(f822(f181(x62401),x62402),f822(f822(f181(x62401),x62403),x62404)))
% 218.59/218.71 [6242]~P99(x62421)+E(f822(f822(f96(x62421),f822(f822(f96(x62421),x62422),x62423)),x62424),f822(f822(f96(x62421),x62422),f822(f822(f96(x62421),x62423),x62424)))
% 218.59/218.71 [6243]~P100(x62431)+E(f822(f822(f96(x62431),f822(f822(f96(x62431),x62432),x62433)),x62434),f822(f822(f96(x62431),x62432),f822(f822(f96(x62431),x62433),x62434)))
% 218.59/218.71 [6244]~P100(x62441)+E(f822(f822(f97(x62441),f822(f822(f97(x62441),x62442),x62443)),x62444),f822(f822(f97(x62441),x62442),f822(f822(f97(x62441),x62443),x62444)))
% 218.59/218.71 [6246]~P105(x62461)+E(f822(f822(f97(x62461),f822(f822(f97(x62461),x62462),x62463)),x62464),f822(f822(f97(x62461),x62462),f822(f822(f97(x62461),x62463),x62464)))
% 218.59/218.71 [6255]~P5(x62551)+E(f44(x62551,f822(f822(f79(x62551),x62552),f822(f822(f80(x62551),x62553),x62554)),x62554),f44(x62551,x62552,x62554))
% 218.59/218.71 [6256]~P5(x62561)+E(f44(x62561,f822(f822(f79(x62561),x62562),f822(f822(f80(x62561),x62563),x62564)),x62563),f44(x62561,x62562,x62563))
% 218.59/218.71 [6402]E(f822(f822(f156(x64021),f822(f822(f167(x64021),x64022),x64023)),x64024),f822(f822(f156(x64021),x64023),x64024))+~P144(f822(f822(f227(a885),x64024),x64022))
% 218.59/218.71 [6588]~E(x65882,x65884)+P144(f822(f822(f164(x65881),f822(f822(f143(x65881),x65882),x65883)),x65884))
% 218.59/218.71 [6590]~P112(x65901)+E(f822(f822(f79(x65901),f822(f822(f79(x65901),x65902),x65903)),x65904),f822(f822(f79(x65901),f822(f822(f79(x65901),x65902),x65904)),x65903))
% 218.59/218.71 [6591]~P112(x65911)+E(f822(f822(f80(x65911),f822(f822(f80(x65911),x65912),x65913)),x65914),f822(f822(f80(x65911),f822(f822(f80(x65911),x65912),x65914)),x65913))
% 218.59/218.71 [6653]~P1(x66532)+E(f822(f822(f8(x66531,x66532),f822(f18(x66532,x66531),x66533)),x66534),f822(f822(f80(x66532),f822(f95(x66532),f822(f34(x66531),x66534))),x66533))
% 218.59/218.71 [6832]E(f822(f822(f97(f892(x68321,a882)),f822(f822(f298(x68321),x68322),x68323)),x68324),f822(f822(f97(f892(x68321,a882)),x68323),x68324))+P144(f822(f822(f318(x68321),x68322),x68324))
% 218.59/218.71 [6904]~P79(x69041)+E(f822(f822(f230(x69041),f822(f822(f79(x69041),x69042),x69043)),f822(f822(f79(x69041),x69044),x69043)),f822(f822(f79(x69041),f822(f822(f230(x69041),x69042),x69044)),x69043))
% 218.59/218.71 [6905]~P79(x69051)+E(f822(f822(f181(x69051),f822(f822(f79(x69051),x69052),x69053)),f822(f822(f79(x69051),x69054),x69053)),f822(f822(f79(x69051),f822(f822(f181(x69051),x69052),x69054)),x69053))
% 218.59/218.71 [6907]~P113(x69071)+E(f822(f822(f79(x69071),f822(f822(f80(x69071),x69072),x69073)),f822(f822(f80(x69071),x69074),x69073)),f822(f822(f80(x69071),f822(f822(f79(x69071),x69072),x69074)),x69073))
% 218.59/218.71 [6908]~P80(x69081)+E(f822(f822(f230(x69081),f822(f822(f3(x69081),x69082),x69083)),f822(f822(f3(x69081),x69084),x69083)),f822(f822(f3(x69081),f822(f822(f230(x69081),x69082),x69084)),x69083))
% 218.59/218.71 [6909]~P80(x69091)+E(f822(f822(f181(x69091),f822(f822(f3(x69091),x69092),x69093)),f822(f822(f3(x69091),x69094),x69093)),f822(f822(f3(x69091),f822(f822(f181(x69091),x69092),x69094)),x69093))
% 218.59/218.71 [6910]~P112(x69101)+E(f822(f822(f80(x69101),f822(f822(f235(x69101),x69102),x69103)),f822(f822(f235(x69101),x69104),x69103)),f822(f822(f235(x69101),f822(f822(f80(x69101),x69102),x69104)),x69103))
% 218.59/218.71 [6911]~P76(x69111)+E(f822(f822(f80(x69111),f822(f822(f235(x69111),x69112),x69113)),f822(f822(f235(x69111),x69114),x69113)),f822(f822(f235(x69111),f822(f822(f80(x69111),x69112),x69114)),x69113))
% 218.59/218.71 [6912]~P64(x69121)+E(f822(f822(f280(x69121),f822(f822(f235(x69121),x69122),x69123)),f822(f822(f235(x69121),x69124),x69123)),f822(f822(f235(x69121),f822(f822(f280(x69121),x69122),x69124)),x69123))
% 218.59/218.71 [6913]~P121(x69131)+E(f822(f822(f79(x69131),f822(f822(f280(x69131),x69132),x69133)),f822(f822(f280(x69131),x69134),x69133)),f822(f822(f280(x69131),f822(f822(f79(x69131),x69132),x69134)),x69133))
% 218.59/218.71 [6914]~P121(x69141)+E(f822(f822(f3(x69141),f822(f822(f280(x69141),x69142),x69143)),f822(f822(f280(x69141),x69144),x69143)),f822(f822(f280(x69141),f822(f822(f3(x69141),x69142),x69144)),x69143))
% 218.59/218.71 [6915]~P92(x69151)+E(f822(f822(f181(x69151),f822(f822(f230(x69151),x69152),x69153)),f822(f822(f230(x69151),x69154),x69153)),f822(f822(f230(x69151),f822(f822(f181(x69151),x69152),x69154)),x69153))
% 218.59/218.71 [6916]~P92(x69161)+E(f822(f822(f230(x69161),f822(f822(f181(x69161),x69162),x69163)),f822(f822(f181(x69161),x69164),x69163)),f822(f822(f181(x69161),f822(f822(f230(x69161),x69162),x69164)),x69163))
% 218.59/218.71 [6917]~P104(x69171)+E(f822(f822(f97(x69171),f822(f822(f96(x69171),x69172),x69173)),f822(f822(f96(x69171),x69174),x69173)),f822(f822(f96(x69171),f822(f822(f97(x69171),x69172),x69174)),x69173))
% 218.59/218.71 [6918]~P104(x69181)+E(f822(f822(f96(x69181),f822(f822(f97(x69181),x69182),x69183)),f822(f822(f97(x69181),x69184),x69183)),f822(f822(f97(x69181),f822(f822(f96(x69181),x69182),x69184)),x69183))
% 218.59/218.71 [6919]~P112(x69191)+E(f822(f822(f79(x69191),f822(f822(f80(x69191),x69192),x69193)),f822(f822(f80(x69191),x69194),x69193)),f822(f822(f80(x69191),f822(f822(f79(x69191),x69192),x69194)),x69193))
% 218.59/218.71 [6953]E(f822(f822(f151(x69531,x69532),x69533),x69534),x69532)+~P144(f822(f822(f226(a885),f822(f183(f887(x69531)),x69532)),x69533))
% 218.59/218.71 [6982]~P144(f822(x69823,x69824))+P144(f822(f822(f822(f96(f892(x69821,a882)),x69822),x69823),x69824))
% 218.59/218.71 [6984]~P144(f822(x69842,x69844))+P144(f822(f822(f822(f96(f892(x69841,a882)),x69842),x69843),x69844))
% 218.59/218.71 [7005]E(f822(f822(f156(x70051),f822(f822(f126(x70051),x70052),x70053)),x70054),f822(f822(f156(x70051),x70052),x70054))+~P144(f822(f822(f227(a885),x70054),f822(f183(f887(x70051)),x70052)))
% 218.59/218.71 [7015]E(f822(f822(f3(f892(x70151,a882)),f822(f822(f298(x70151),x70152),x70153)),x70154),f822(f822(f3(f892(x70151,a882)),x70153),x70154))+~P144(f822(f822(f318(x70151),x70152),x70154))
% 218.59/218.71 [7058]~E(f131(a885,f822(f291(a885,x70581),x70582)),f822(f822(f143(a885),x70584),x70583))+E(f131(a885,f822(f291(a885,f822(f822(f79(a885),x70581),f77(a885))),x70582)),x70583)
% 218.59/218.71 [7080]~P144(f822(f822(f164(x70801),x70803),x70804))+P144(f822(f822(f164(x70801),f822(f822(f143(x70801),x70802),x70803)),x70804))
% 218.59/218.71 [7130]E(x71301,f2(a885))+E(f822(f822(f143(x71302),x71303),f822(f822(f167(x71302),f822(f822(f3(a885),x71301),f77(a885))),x71304)),f822(f822(f167(x71302),x71301),f822(f822(f143(x71302),x71303),x71304)))
% 218.59/218.71 [7234]E(f822(f822(f156(x72341),x72342),f822(f822(f3(a885),x72343),f822(f183(f887(x72341)),x72344))),f822(f822(f156(x72341),f822(f822(f126(x72341),x72344),x72342)),x72343))+P144(f822(f822(f227(a885),x72343),f822(f183(f887(x72341)),x72344)))
% 218.59/218.71 [7262]E(f822(f822(f97(f892(x72621,a882)),x72622),f822(f822(f298(x72621),x72623),x72624)),f822(f822(f298(x72621),x72623),f822(f822(f97(f892(x72621,a882)),x72622),x72624)))+~P144(f822(f822(f318(x72621),x72623),x72622))
% 218.59/218.71 [7300]E(f822(f822(f156(x73001),f822(f822(f151(x73001,x73002),x73003),x73004)),x73003),x73004)+~P144(f822(f822(f227(a885),x73003),f822(f183(f887(x73001)),x73002)))
% 218.59/218.71 [7322]E(x73221,f182(f892(x73222,a882)))+E(f822(f299(f891(x73223,x73222),x73223,f242(x73223,x73222)),f822(f822(f245(x73223,x73222),x73224),f822(f18(f892(x73222,a882),x73223),x73221))),x73224)
% 218.59/218.71 [7323]E(x73231,f182(f892(x73232,a882)))+E(f822(f299(f891(x73232,x73233),x73233,f247(x73232,x73233)),f822(f822(f245(x73232,x73233),x73231),f822(f18(f892(x73233,a882),x73232),x73234))),x73234)
% 218.59/218.71 [7407]E(f822(f822(f3(f892(x74071,a882)),f822(f822(f298(x74071),x74072),x74073)),x74074),f822(f822(f298(x74071),x74072),f822(f822(f3(f892(x74071,a882)),x74073),x74074)))+P144(f822(f822(f318(x74071),x74072),x74074))
% 218.59/218.71 [7445]~E(x74454,f182(f892(x74452,a882)))+E(f822(f299(f891(x74451,x74452),x74451,f242(x74451,x74452)),f822(f822(f245(x74451,x74452),x74453),f822(f18(f892(x74452,a882),x74451),x74454))),f182(f892(x74451,a882)))
% 218.59/218.71 [7446]~E(x74463,f182(f892(x74461,a882)))+E(f822(f299(f891(x74461,x74462),x74462,f247(x74461,x74462)),f822(f822(f245(x74461,x74462),x74463),f822(f18(f892(x74462,a882),x74461),x74464))),f182(f892(x74462,a882)))
% 218.59/218.71 [7501]~P144(f822(f822(f318(x75011),x75012),x75014))+P144(f822(f822(f318(x75011),x75012),f822(f822(f96(f892(x75011,a882)),x75013),x75014)))
% 218.59/218.71 [7504]~P144(f822(f822(f318(x75041),x75042),x75043))+P144(f822(f822(f318(x75041),x75042),f822(f822(f96(f892(x75041,a882)),x75043),x75044)))
% 218.59/218.71 [7525]E(f822(f822(f97(f892(x75251,a882)),f822(f822(f298(x75251),x75252),x75253)),x75254),f822(f822(f298(x75251),x75252),f822(f822(f97(f892(x75251,a882)),x75253),x75254)))+~P144(f822(f822(f318(x75251),x75252),x75254))
% 218.59/218.71 [7804]P144(f822(x78041,x78042))+~P144(f822(f822(f822(f97(f892(x78043,a882)),x78044),x78041),x78042))
% 218.59/218.71 [7805]P144(f822(x78051,x78052))+~P144(f822(f822(f822(f97(f892(x78053,a882)),x78051),x78054),x78052))
% 218.59/218.71 [7806]E(f822(f822(f8(x78061,a885),x78062),f822(f822(f3(f892(x78061,a882)),x78063),f822(f822(f298(x78061),x78064),f182(f892(x78061,a882))))),f822(f822(f8(x78061,a885),x78062),x78063))+P144(f822(f822(f318(x78061),x78064),x78063))
% 218.59/218.71 [7811]~P72(x78111)+E(f822(f157(x78111),f822(f822(f146(a885,x78111),x78112),f131(a885,f822(f291(a885,x78113),x78114)))),f822(f822(f8(a885,x78111),x78112),f822(f164(a885),f131(a885,f822(f291(a885,x78113),x78114)))))
% 218.59/218.71 [7812]~P72(x78121)+E(f822(f822(f8(a885,x78121),x78122),f822(f164(a885),f131(a885,f822(f291(a885,x78123),x78124)))),f822(f157(x78121),f822(f822(f146(a885,x78121),x78122),f131(a885,f822(f291(a885,x78123),x78124)))))
% 218.59/218.71 [7930]~E(x79303,x79304)+P144(f822(f61(x79301,x79302,f822(f822(f298(x79301),x79303),f182(f892(x79301,a882)))),x79304))
% 218.59/218.71 [8027]P144(f822(f822(f318(x80271),x80272),f822(f164(x80271),x80273)))+~P144(f822(f822(f318(x80271),x80272),f822(f164(x80271),f822(f822(f167(x80271),x80274),x80273))))
% 218.59/218.71 [8028]P144(f822(f822(f318(x80281),x80282),f822(f164(x80281),x80283)))+~P144(f822(f822(f318(x80281),x80282),f822(f164(x80281),f822(f822(f130(x80281),x80284),x80283))))
% 218.59/218.71 [8101]P144(f822(f822(f318(x81011),x81012),x81013))+~P144(f822(f822(f318(x81011),x81012),f822(f822(f3(f892(x81011,a882)),x81013),x81014)))
% 218.59/218.71 [8103]P144(f822(f822(f318(x81031),x81032),x81033))+~P144(f822(f822(f318(x81031),x81032),f822(f822(f97(f892(x81031,a882)),x81034),x81033)))
% 218.59/218.71 [8106]P144(f822(f822(f318(x81061),x81062),x81063))+~P144(f822(f822(f318(x81061),x81062),f822(f822(f97(f892(x81061,a882)),x81063),x81064)))
% 218.59/218.71 [8121]E(f822(f822(f126(x81211),f822(f822(f167(x81211),x81212),x81213)),f822(f822(f143(x81211),x81214),f822(f822(f130(x81211),f822(a107,x81212)),x81213))),f822(f822(f151(x81211,x81213),x81212),x81214))+~P144(f822(f822(f227(a885),x81212),f822(f183(f887(x81211)),x81213)))
% 218.59/218.71 [8144]P144(f822(f822(f318(x81441),x81442),x81443))+~P144(f822(f822(f226(f892(x81441,a882)),f822(f822(f298(x81441),x81442),x81444)),x81443))
% 218.59/218.71 [8180]~P144(f822(f822(f318(x81801),x81802),x81803))+~P144(f822(f822(f318(x81801),x81802),f822(f822(f3(f892(x81801,a882)),x81804),x81803)))
% 218.59/218.71 [8214]~P144(f822(f822(f227(a885),x82144),f822(f183(f887(x82141)),x82143)))+P144(f822(f822(f318(x82141),x82142),f822(f164(x82141),f822(f822(f151(x82141,x82143),x82144),x82142))))
% 218.59/218.71 [8266]E(f822(f822(f156(x82661),f822(f822(f130(x82661),x82662),x82663)),x82664),f822(f822(f156(x82661),x82663),f822(f822(f79(a885),x82662),x82664)))+~P144(f822(f822(f226(a885),f822(f822(f79(a885),x82662),x82664)),f822(f183(f887(x82661)),x82663)))
% 218.59/218.71 [8275]~P1(x82752)+E(f822(f822(f8(x82751,x82752),f822(f822(f10(a885,x82752,x82751),f95(x82752)),x82753)),x82754),f822(f95(x82752),f822(f822(f8(x82751,a885),x82753),x82754)))
% 218.59/218.71 [8276]~P127(x82762)+E(f822(f822(f8(x82761,x82762),f822(f822(f10(a1,x82762,x82761),f98(x82762)),x82763)),x82764),f822(f98(x82762),f822(f822(f8(x82761,a1),x82763),x82764)))
% 218.59/218.71 [8326]~P67(x83262)+E(f822(f822(f11(x83261,x83262),f822(f822(f10(x83262,x83262,x83261),f75(x83262)),x83263)),x83264),f822(f75(x83262),f822(f822(f11(x83261,x83262),x83263),x83264)))
% 218.59/218.71 [8327]~P4(x83272)+E(f822(f822(f8(x83271,x83272),f822(f822(f10(x83272,x83272,x83271),f78(x83272)),x83273)),x83274),f822(f78(x83272),f822(f822(f8(x83271,x83272),x83273),x83274)))
% 218.59/218.71 [8329]E(f822(f822(f8(x83291,a885),x83292),f822(f822(f3(f892(x83291,a882)),x83293),f822(f822(f298(x83291),x83294),f182(f892(x83291,a882))))),f822(f822(f3(a885),f822(f822(f8(x83291,a885),x83292),x83293)),f822(x83292,x83294)))+~P144(f822(f822(f318(x83291),x83294),x83293))
% 218.59/218.71 [8348]P144(f822(f822(f226(f892(x83481,a882)),x83482),x83483))+~P144(f822(f822(f226(f892(x83481,a882)),f822(f822(f298(x83481),x83484),x83482)),x83483))
% 218.59/218.71 [8549]P36(x85491,x85492)+~P36(x85491,f822(f822(f298(f891(x85491,x85491)),f822(f822(f243(x85491,x85491),x85493),x85494)),x85492))
% 218.59/218.71 [8550]P59(x85501,x85502)+~P59(x85501,f822(f822(f298(f891(x85501,x85501)),f822(f822(f243(x85501,x85501),x85503),x85504)),x85502))
% 218.59/218.71 [8555]~P92(x85551)+E(f822(f822(f140(x85551,x85551,f7(x85551)),x85552),f822(f822(f140(x85551,x85551,f7(x85551)),x85553),x85554)),f822(f822(f140(x85551,x85551,f7(x85551)),x85553),f822(f822(f140(x85551,x85551,f7(x85551)),x85552),x85554)))
% 218.59/218.71 [8570]E(x85701,x85702)+~P144(f822(f61(x85703,x85704,f822(f822(f298(x85703),x85701),f182(f892(x85703,a882)))),x85702))
% 218.59/218.71 [8579]E(f822(f822(f126(x85791),f822(f822(f167(x85791),x85792),x85793)),f822(f822(f167(x85791),x85794),f822(f822(f130(x85791),x85792),x85793))),f822(f822(f167(x85791),f822(f822(f79(a885),x85792),x85794)),x85793))+~P144(f822(f822(f226(a885),f822(f822(f79(a885),x85792),x85794)),f822(f183(f887(x85791)),x85793)))
% 218.59/218.71 [8619]P144(f822(f60(x86191),x86192))+~E(x86192,f822(f299(a885,x86191,x86193),f822(f253(a885),f822(f822(f9(a885,a885,a882),f227(a885)),x86194))))
% 218.59/218.71 [8639]~P88(x86391)+E(f822(f134(x86391,x86391,f79(x86391),f822(f822(f79(x86391),x86392),x86393)),x86394),f822(f822(f79(x86391),x86392),f822(f134(x86391,x86391,f79(x86391),x86393),x86394)))
% 218.59/218.71 [8672]P144(f822(f822(f226(f892(x86721,a882)),f822(f255(x86721,x86722),x86723)),f822(f255(x86721,x86722),x86724)))+~P144(f822(f822(f226(f892(f891(x86721,x86722),a882)),x86723),x86724))
% 218.59/218.71 [8684]~P144(f822(f822(f226(a885),x86842),x86844))+P144(f822(f822(f226(f892(x86841,a882)),f822(f164(x86841),f822(f822(f167(x86841),x86842),x86843))),f822(f164(x86841),f822(f822(f167(x86841),x86844),x86843))))
% 218.59/218.71 [8685]~P144(f822(f822(f226(a885),x86854),x86852))+P144(f822(f822(f226(f892(x86851,a882)),f822(f164(x86851),f822(f822(f130(x86851),x86852),x86853))),f822(f164(x86851),f822(f822(f130(x86851),x86854),x86853))))
% 218.59/218.71 [8736]~P144(f822(f60(x87361),f822(f822(f3(f892(x87361,a882)),x87362),x87364)))+P144(f822(f60(x87361),f822(f822(f3(f892(x87361,a882)),x87362),f822(f822(f298(x87361),x87363),x87364))))
% 218.59/218.71 [8771]P144(f822(f822(f318(f891(x87711,x87711)),x87712),f296(x87711,x87713)))+~P144(f822(f822(f318(f891(x87711,x87711)),x87712),f822(f822(f175(f891(x87711,x87711),a882),x87714),x87713)))
% 218.59/218.71 [8850]~P144(f822(f60(x88501),f822(f822(f3(f892(x88501,a882)),x88502),f822(f822(f298(x88501),x88504),x88503))))+P144(f822(f60(x88501),f822(f822(f3(f892(x88501,a882)),x88502),x88503)))
% 218.59/218.71 [9053]~P92(x90531)+P144(f822(f822(f226(x90531),f822(f822(f181(x90531),x90532),f822(f822(f230(x90531),x90533),x90534))),f822(f822(f230(x90531),f822(f822(f181(x90531),x90532),x90533)),f822(f822(f181(x90531),x90532),x90534))))
% 218.59/218.71 [9054]~P100(x90541)+P144(f822(f822(f226(x90541),f822(f822(f96(x90541),x90542),f822(f822(f97(x90541),x90543),x90544))),f822(f822(f97(x90541),f822(f822(f96(x90541),x90542),x90543)),f822(f822(f96(x90541),x90542),x90544))))
% 218.59/218.71 [9211]E(x92111,x92112)+~P144(f822(f822(f318(f891(x92113,x92113)),f822(f822(f243(x92113,x92113),x92111),x92112)),f822(f164(f891(x92113,x92113)),f822(f822(f173(x92113,x92113),x92114),x92114))))
% 218.59/218.71 [9242]~P144(f822(f822(f318(f891(x92421,x92421)),f822(f822(f243(x92421,x92421),x92423),x92422)),f296(x92421,x92424)))+~P36(x92421,f822(f822(f298(f891(x92421,x92421)),f822(f822(f243(x92421,x92421),x92422),x92423)),x92424))
% 218.59/218.71 [9243]~P144(f822(f822(f318(f891(x92431,x92431)),f822(f822(f243(x92431,x92431),x92433),x92432)),f296(x92431,x92434)))+~P59(x92431,f822(f822(f298(f891(x92431,x92431)),f822(f822(f243(x92431,x92431),x92432),x92433)),x92434))
% 218.59/218.71 [9247]E(x92471,x92472)+E(f822(f128(x92473,f822(f822(f10(a882,a882,x92473),a311),f822(a314,x92471))),f822(f822(f143(x92473),x92472),x92474)),f822(f822(f143(x92473),x92472),f822(f128(x92473,f822(f822(f10(a882,a882,x92473),a311),f822(a314,x92471))),x92474)))
% 218.59/218.71 [9289]~P92(x92891)+P144(f822(f822(f226(x92891),f822(f822(f181(x92891),f822(f822(f230(x92891),x92892),x92893)),f822(f822(f230(x92891),x92892),x92894))),f822(f822(f230(x92891),x92892),f822(f822(f181(x92891),x92893),x92894))))
% 218.59/218.71 [9290]~P100(x92901)+P144(f822(f822(f226(x92901),f822(f822(f96(x92901),f822(f822(f97(x92901),x92902),x92903)),f822(f822(f97(x92901),x92902),x92904))),f822(f822(f97(x92901),x92902),f822(f822(f96(x92901),x92903),x92904))))
% 218.59/218.71 [9363]~E(f822(f299(x93632,x93631,x93633),f233(f892(x93632,a882))),f233(f892(x93631,a882)))+P144(f822(f822(f226(f892(x93631,a882)),f822(f78(f892(x93631,a882)),f822(f299(x93632,x93631,x93633),x93634))),f822(f299(x93632,x93631,x93633),f822(f78(f892(x93632,a882)),x93634))))
% 218.59/218.71 [9686]P144(f822(f822(f318(f891(x96861,x96861)),f822(f822(f243(x96861,x96861),x96862),x96863)),f822(f275(x96861,x96861),f822(f822(f278(x96861,x96861,x96861),x96864),f296(x96861,x96864)))))+~P144(f822(f822(f318(f891(x96861,x96861)),f822(f822(f243(x96861,x96861),x96862),x96863)),f822(f822(f278(x96861,x96861,x96861),f822(f275(x96861,x96861),x96864)),f296(x96861,f822(f275(x96861,x96861),x96864)))))
% 218.59/218.71 [9687]~P144(f822(f822(f318(f891(x96871,x96871)),f822(f822(f243(x96871,x96871),x96872),x96873)),f822(f275(x96871,x96871),f822(f822(f278(x96871,x96871,x96871),x96874),f296(x96871,x96874)))))+P144(f822(f822(f318(f891(x96871,x96871)),f822(f822(f243(x96871,x96871),x96872),x96873)),f822(f822(f278(x96871,x96871,x96871),f822(f275(x96871,x96871),x96874)),f296(x96871,f822(f275(x96871,x96871),x96874)))))
% 218.59/218.71 [9712]~P144(f822(f822(f318(x97122),x97124),f822(f273(x97121,x97122),x97123)))+P144(f822(f822(f318(f891(x97121,x97122)),f822(f822(f243(x97121,x97122),f537(x97123,x97121,x97124,x97122)),x97124)),x97123))
% 218.59/218.71 [9713]~P144(f822(f822(f318(x97132),x97134),f822(f273(x97131,x97132),x97133)))+P144(f822(f822(f318(f891(x97131,x97132)),f822(f822(f243(x97131,x97132),f538(x97133,x97131,x97134,x97132)),x97134)),x97133))
% 218.59/218.71 [9738]~P144(f822(f822(f318(x97381),x97384),f822(f822(f96(f892(x97381,a882)),x97382),x97383)))+P144(f822(f822(f822(f96(f892(x97381,a882)),f822(f822(f9(x97381,f892(x97381,a882),a882),f318(x97381)),x97382)),f822(f822(f9(x97381,f892(x97381,a882),a882),f318(x97381)),x97383)),x97384))
% 218.59/218.71 [9739]~P144(f822(f822(f318(x97391),x97394),f822(f822(f97(f892(x97391,a882)),x97392),x97393)))+P144(f822(f822(f822(f97(f892(x97391,a882)),f822(f822(f9(x97391,f892(x97391,a882),a882),f318(x97391)),x97392)),f822(f822(f9(x97391,f892(x97391,a882),a882),f318(x97391)),x97393)),x97394))
% 218.59/218.71 [9823]~P144(f822(f822(f318(f891(x98231,x98231)),f822(f822(f243(x98231,x98231),x98234),x98233)),f822(f822(f278(x98231,x98231,x98231),x98232),f296(x98231,x98232))))+P144(f822(f822(f318(f891(x98231,x98231)),f822(f822(f243(x98231,x98231),f645(x98232,x98233,x98234,x98231)),x98233)),x98232))
% 218.59/218.71 [9860]P144(f822(f822(f318(x98601),x98602),f822(f822(f96(f892(x98601,a882)),x98603),x98604)))+~P144(f822(f822(f822(f96(f892(x98601,a882)),f822(f822(f9(x98601,f892(x98601,a882),a882),f318(x98601)),x98603)),f822(f822(f9(x98601,f892(x98601,a882),a882),f318(x98601)),x98604)),x98602))
% 218.59/218.71 [9861]P144(f822(f822(f318(x98611),x98612),f822(f822(f97(f892(x98611,a882)),x98613),x98614)))+~P144(f822(f822(f822(f97(f892(x98611,a882)),f822(f822(f9(x98611,f892(x98611,a882),a882),f318(x98611)),x98613)),f822(f822(f9(x98611,f892(x98611,a882),a882),f318(x98611)),x98614)),x98612))
% 218.59/218.71 [10141]P31(x101411,f822(f822(f9(x101411,f892(f891(x101411,x101411),a882),f892(x101411,a882)),f822(f822(f10(f892(x101411,f892(f892(f891(x101411,x101411),a882),a882)),f892(f892(f891(x101411,x101411),a882),f892(x101411,a882)),x101411),f9(x101411,f892(f891(x101411,x101411),a882),a882)),f822(f822(f10(f892(x101411,f891(x101411,x101411)),f892(x101411,f892(f892(f891(x101411,x101411),a882),a882)),x101411),f822(f10(f891(x101411,x101411),f892(f892(f891(x101411,x101411),a882),a882),x101411),f318(f891(x101411,x101411)))),f243(x101411,x101411)))),x101412),x101413,x101414)+~P144(f822(f822(f318(f891(f887(x101411),f887(x101411))),f822(f822(f243(f887(x101411),f887(x101411)),x101413),x101414)),f150(x101411,x101412)))
% 218.59/218.71 [10145]P60(x101451,f822(f822(f9(x101451,f892(f891(x101451,x101451),a882),f892(x101451,a882)),f822(f822(f10(f892(x101451,f892(f892(f891(x101451,x101451),a882),a882)),f892(f892(f891(x101451,x101451),a882),f892(x101451,a882)),x101451),f9(x101451,f892(f891(x101451,x101451),a882),a882)),f822(f822(f10(f892(x101451,f891(x101451,x101451)),f892(x101451,f892(f892(f891(x101451,x101451),a882),a882)),x101451),f822(f10(f891(x101451,x101451),f892(f892(f891(x101451,x101451),a882),a882),x101451),f318(f891(x101451,x101451)))),f243(x101451,x101451)))),x101452),x101453,x101454)+~P144(f822(f822(f318(f891(f892(x101451,a882),f892(x101451,a882))),f822(f822(f243(f892(x101451,a882),f892(x101451,a882)),x101453),x101454)),f307(x101451,x101452)))
% 218.59/218.71 [10174]E(x101741,x101742)+~E(f822(f822(f9(x101743,f892(f891(x101743,x101744),a882),f892(x101744,a882)),f822(f822(f10(f892(x101744,f892(f892(f891(x101743,x101744),a882),a882)),f892(f892(f891(x101743,x101744),a882),f892(x101744,a882)),x101743),f9(x101744,f892(f891(x101743,x101744),a882),a882)),f822(f822(f10(f892(x101744,f891(x101743,x101744)),f892(x101744,f892(f892(f891(x101743,x101744),a882),a882)),x101743),f822(f10(f891(x101743,x101744),f892(f892(f891(x101743,x101744),a882),a882),x101744),f318(f891(x101743,x101744)))),f243(x101743,x101744)))),x101741),f822(f822(f9(x101743,f892(f891(x101743,x101744),a882),f892(x101744,a882)),f822(f822(f10(f892(x101744,f892(f892(f891(x101743,x101744),a882),a882)),f892(f892(f891(x101743,x101744),a882),f892(x101744,a882)),x101743),f9(x101744,f892(f891(x101743,x101744),a882),a882)),f822(f822(f10(f892(x101744,f891(x101743,x101744)),f892(x101744,f892(f892(f891(x101743,x101744),a882),a882)),x101743),f822(f10(f891(x101743,x101744),f892(f892(f891(x101743,x101744),a882),a882),x101744),f318(f891(x101743,x101744)))),f243(x101743,x101744)))),x101742))
% 218.59/218.71 [10177]~P31(x101771,f822(f822(f9(x101771,f892(f891(x101771,x101771),a882),f892(x101771,a882)),f822(f822(f10(f892(x101771,f892(f892(f891(x101771,x101771),a882),a882)),f892(f892(f891(x101771,x101771),a882),f892(x101771,a882)),x101771),f9(x101771,f892(f891(x101771,x101771),a882),a882)),f822(f822(f10(f892(x101771,f891(x101771,x101771)),f892(x101771,f892(f892(f891(x101771,x101771),a882),a882)),x101771),f822(f10(f891(x101771,x101771),f892(f892(f891(x101771,x101771),a882),a882),x101771),f318(f891(x101771,x101771)))),f243(x101771,x101771)))),x101774),x101772,x101773)+P144(f822(f822(f318(f891(f887(x101771),f887(x101771))),f822(f822(f243(f887(x101771),f887(x101771)),x101772),x101773)),f150(x101771,x101774)))
% 218.59/218.71 [10178]~P60(x101781,f822(f822(f9(x101781,f892(f891(x101781,x101781),a882),f892(x101781,a882)),f822(f822(f10(f892(x101781,f892(f892(f891(x101781,x101781),a882),a882)),f892(f892(f891(x101781,x101781),a882),f892(x101781,a882)),x101781),f9(x101781,f892(f891(x101781,x101781),a882),a882)),f822(f822(f10(f892(x101781,f891(x101781,x101781)),f892(x101781,f892(f892(f891(x101781,x101781),a882),a882)),x101781),f822(f10(f891(x101781,x101781),f892(f892(f891(x101781,x101781),a882),a882),x101781),f318(f891(x101781,x101781)))),f243(x101781,x101781)))),x101784),x101782,x101783)+P144(f822(f822(f318(f891(f892(x101781,a882),f892(x101781,a882))),f822(f822(f243(f892(x101781,a882),f892(x101781,a882)),x101782),x101783)),f307(x101781,x101784)))
% 218.59/218.71 [7576]~P96(x75761)+E(f822(f822(f79(x75761),f822(f99(x75761),x75762)),f822(f822(f79(x75761),f822(f99(x75761),x75763)),x75764)),f822(f822(f79(x75761),f822(f99(x75761),f822(f822(f79(a1),x75762),x75763))),x75764))
% 218.59/218.71 [7577]~P96(x75771)+E(f822(f822(f79(x75771),f822(f99(x75771),x75772)),f822(f822(f3(x75771),f822(f99(x75771),x75773)),x75774)),f822(f822(f3(x75771),f822(f99(x75771),f822(f822(f79(a1),x75772),x75773))),x75774))
% 218.59/218.71 [7578]~P96(x75781)+E(f822(f822(f80(x75781),f822(f99(x75781),x75782)),f822(f822(f80(x75781),f822(f99(x75781),x75783)),x75784)),f822(f822(f80(x75781),f822(f99(x75781),f822(f822(f80(a1),x75782),x75783))),x75784))
% 218.59/218.71 [7621]~P1(x76211)+E(f822(f157(x76211),f822(f822(f146(x76212,x76211),f822(f18(x76211,x76212),x76213)),x76214)),f822(f822(f80(x76211),f822(f95(x76211),f822(f183(f887(x76212)),x76214))),x76213))
% 218.59/218.71 [7860]E(f822(f259(x78601,f822(f822(f143(f891(a94,x78601)),x78602),x78603)),x78604),f822(f247(a94,x78601),x78602))+~P144(f822(f822(f227(a94),x78604),f822(f242(a94,x78601),x78602)))
% 218.59/218.71 [7906]~P96(x79061)+E(f822(f822(f79(x79061),f822(f99(x79061),x79062)),f822(f822(f3(x79061),x79063),f822(f99(x79061),x79064))),f822(f822(f79(x79061),f822(f99(x79061),f822(f822(f79(a1),x79062),f822(f78(a1),x79064)))),x79063))
% 218.59/218.71 [8040]E(f822(f259(x80401,x80402),f822(f822(f3(a94),x80403),f822(f242(a94,x80401),x80404))),f822(f259(x80401,f822(f822(f143(f891(a94,x80401)),x80404),x80402)),x80403))+P144(f822(f822(f227(a94),x80403),f822(f242(a94,x80401),x80404)))
% 218.59/218.71 [8472]~P144(f822(f822(f318(x84721),x84722),f822(f164(x84721),f109(x84721,x84724))))+P144(f822(f822(f318(x84721),x84722),f822(f164(x84721),f109(x84721,f822(f822(f126(x84721),x84723),x84724)))))
% 218.59/218.71 [8473]~P144(f822(f822(f318(x84731),x84732),f822(f164(x84731),f109(x84731,x84733))))+P144(f822(f822(f318(x84731),x84732),f822(f164(x84731),f109(x84731,f822(f822(f126(x84731),x84733),x84734)))))
% 218.59/218.71 [8492]E(f822(f822(f96(f892(x84921,a882)),f822(f822(f97(f892(x84921,a882)),x84922),x84923)),x84924),f822(f822(f97(f892(x84921,a882)),x84922),f822(f822(f96(f892(x84921,a882)),x84923),x84924)))+~P144(f822(f822(f226(f892(x84921,a882)),x84924),x84922))
% 218.59/218.71 [8784]~E(f822(f822(f96(f892(x87841,a882)),f822(f822(f97(f892(x87841,a882)),x87843),x87844)),x87842),f822(f822(f97(f892(x87841,a882)),x87843),f822(f822(f96(f892(x87841,a882)),x87844),x87842)))+P144(f822(f822(f226(f892(x87841,a882)),x87842),x87843))
% 218.59/218.71 [9058]~P144(f822(f822(f226(f892(x90581,a882)),x90582),f822(f822(f96(f892(x90581,a882)),x90583),x90584)))+P144(f822(f822(f226(f892(x90581,a882)),f822(f822(f3(f892(x90581,a882)),x90582),x90583)),x90584))
% 218.59/218.71 [9183]P144(f822(f822(f226(f892(x91831,a882)),x91832),f822(f822(f96(f892(x91831,a882)),x91833),x91834)))+~P144(f822(f822(f226(f892(x91831,a882)),f822(f822(f3(f892(x91831,a882)),x91832),x91833)),x91834))
% 218.59/218.71 [9272]~P84(x92721)+E(f822(f75(x92721),f822(f822(f8(x92722,x92721),f822(f822(f10(x92721,x92721,x92722),f75(x92721)),x92723)),x92724)),f822(f822(f8(x92722,x92721),f822(f822(f10(x92721,x92721,x92722),f75(x92721)),x92723)),x92724))
% 218.59/218.71 [9439]~P84(x94391)+P144(f822(f822(f226(x94391),f2(x94391)),f822(f822(f8(x94392,x94391),f822(f822(f10(x94391,x94391,x94392),f75(x94391)),x94393)),x94394)))
% 218.59/218.71 [9443]~P4(x94431)+E(f822(f157(x94431),f822(f822(f146(x94432,x94431),f822(f72(x94431,x94431,x94432,f78(x94431)),x94433)),x94434)),f822(f78(x94431),f822(f157(x94431),f822(f822(f146(x94432,x94431),x94433),x94434))))
% 218.59/218.71 [9586]~P84(x95861)+P144(f822(f822(f226(x95861),f822(f75(x95861),f822(f822(f8(x95862,x95861),x95863),x95864))),f822(f822(f8(x95862,x95861),f822(f822(f10(x95861,x95861,x95862),f75(x95861)),x95863)),x95864)))
% 218.59/218.71 [9613]~E(f822(f822(f79(a885),x96131),x96134),f822(f822(f79(a885),x96133),x96132))+P144(f822(f822(f318(f891(f891(a885,a885),f891(a885,a885))),f822(f822(f243(f891(a885,a885),f891(a885,a885)),f822(f822(f243(a885,a885),x96131),x96132)),f822(f822(f243(a885,a885),x96133),x96134))),a104))
% 218.59/218.71 [9614]~P144(f822(f822(f227(a885),x96141),x96143))+P144(f822(f822(f318(f891(f891(a885,a885),f891(a885,a885))),f822(f822(f243(f891(a885,a885),f891(a885,a885)),f822(f822(f243(a885,a885),x96141),x96142)),f822(f822(f243(a885,a885),x96143),x96144))),a32))
% 218.59/218.71 [9615]~P144(f822(f822(f227(a885),x96151),x96153))+P144(f822(f822(f318(f891(f891(a885,a885),f891(a885,a885))),f822(f822(f243(f891(a885,a885),f891(a885,a885)),f822(f822(f243(a885,a885),x96151),x96152)),f822(f822(f243(a885,a885),x96153),x96154))),a70))
% 218.59/218.71 [9763]E(f822(f822(f79(a885),x97631),x97632),f822(f822(f79(a885),x97633),x97634))+~P144(f822(f822(f318(f891(f891(a885,a885),f891(a885,a885))),f822(f822(f243(f891(a885,a885),f891(a885,a885)),f822(f822(f243(a885,a885),x97631),x97634)),f822(f822(f243(a885,a885),x97633),x97632))),a104))
% 218.59/218.71 [9790]E(f822(f822(f156(x97901),f822(f822(f130(x97901),f822(f183(f887(x97901)),f169(x97901,x97902,x97903))),x97903)),x97904),f822(f822(f156(x97901),x97903),f822(f822(f79(a885),x97904),f822(f183(f887(x97901)),f169(x97901,x97902,x97903)))))+~P144(f822(f822(f227(a885),x97904),f822(f183(f887(x97901)),f822(f822(f130(x97901),f822(f183(f887(x97901)),f169(x97901,x97902,x97903))),x97903))))
% 218.59/218.71 [9814]~P144(f822(f822(f318(x98142),x98144),f822(f822(f38(x98141,f892(x98142,a882)),f233(f892(x98141,a882))),x98143)))+P144(f822(f822(f822(f38(x98141,f892(x98142,a882)),f233(f892(x98141,a882))),f822(f822(f10(f892(x98142,a882),f892(x98142,a882),x98141),f822(f9(x98142,f892(x98142,a882),a882),f318(x98142))),x98143)),x98144))
% 218.59/218.71 [9815]~P144(f822(f822(f318(x98152),x98154),f822(f822(f39(x98151,f892(x98152,a882)),f233(f892(x98151,a882))),x98153)))+P144(f822(f822(f822(f39(x98151,f892(x98152,a882)),f233(f892(x98151,a882))),f822(f822(f10(f892(x98152,a882),f892(x98152,a882),x98151),f822(f9(x98152,f892(x98152,a882),a882),f318(x98152))),x98153)),x98154))
% 218.59/218.71 [9886]~P144(f822(f48(x98861,x98862),f822(f822(f243(a1,a1),x98864),x98863)))+P144(f822(f48(f822(f78(a1),x98861),x98862),f822(f822(f243(a1,a1),f822(f822(f822(f90(a1),f822(f822(a314,x98863),f2(a1))),f822(f78(a1),x98864)),f822(f822(f3(a1),f822(f78(a1),x98864)),f77(a1)))),f822(f822(f822(f90(a1),f822(f822(a314,x98863),f2(a1))),f2(a1)),f822(f822(f3(a1),x98862),x98863)))))
% 218.59/218.71 [9896]P144(f822(f822(f318(x98961),x98962),f822(f822(f38(x98963,f892(x98961,a882)),f233(f892(x98963,a882))),x98964)))+~P144(f822(f822(f822(f38(x98963,f892(x98961,a882)),f233(f892(x98963,a882))),f822(f822(f10(f892(x98961,a882),f892(x98961,a882),x98963),f822(f9(x98961,f892(x98961,a882),a882),f318(x98961))),x98964)),x98962))
% 218.59/218.71 [9897]P144(f822(f822(f318(x98971),x98972),f822(f822(f39(x98973,f892(x98971,a882)),f233(f892(x98973,a882))),x98974)))+~P144(f822(f822(f822(f39(x98973,f892(x98971,a882)),f233(f892(x98973,a882))),f822(f822(f10(f892(x98971,a882),f892(x98971,a882),x98973),f822(f9(x98971,f892(x98971,a882),a882),f318(x98971))),x98974)),x98972))
% 218.59/218.71 [9909]E(f822(f822(f38(a885,f892(x99091,a882)),f233(f892(a885,a882))),x99092),f822(f822(f38(a885,f892(x99091,a882)),f233(f892(a885,a882))),x99093))+~E(f822(f822(f38(a885,f892(x99091,a882)),f822(f291(a885,f2(a885)),f379(x99092,x99094,x99093,x99091))),x99093),f822(f822(f38(a885,f892(x99091,a882)),f822(f291(a885,f2(a885)),f822(f822(f79(a885),f379(x99092,x99094,x99093,x99091)),x99094))),x99092))
% 218.59/218.71 [10249]~P144(f822(f822(f226(f892(f891(x102491,x102492),a882)),x102493),x102494))+P144(f822(f822(f226(f892(x102491,f892(x102492,a882))),f822(f822(f9(x102491,f892(f891(x102491,x102492),a882),f892(x102492,a882)),f822(f822(f10(f892(x102492,f892(f892(f891(x102491,x102492),a882),a882)),f892(f892(f891(x102491,x102492),a882),f892(x102492,a882)),x102491),f9(x102492,f892(f891(x102491,x102492),a882),a882)),f822(f822(f10(f892(x102492,f891(x102491,x102492)),f892(x102492,f892(f892(f891(x102491,x102492),a882),a882)),x102491),f822(f10(f891(x102491,x102492),f892(f892(f891(x102491,x102492),a882),a882),x102492),f318(f891(x102491,x102492)))),f243(x102491,x102492)))),x102493)),f822(f822(f9(x102491,f892(f891(x102491,x102492),a882),f892(x102492,a882)),f822(f822(f10(f892(x102492,f892(f892(f891(x102491,x102492),a882),a882)),f892(f892(f891(x102491,x102492),a882),f892(x102492,a882)),x102491),f9(x102492,f892(f891(x102491,x102492),a882),a882)),f822(f822(f10(f892(x102492,f891(x102491,x102492)),f892(x102492,f892(f892(f891(x102491,x102492),a882),a882)),x102491),f822(f10(f891(x102491,x102492),f892(f892(f891(x102491,x102492),a882),a882),x102492),f318(f891(x102491,x102492)))),f243(x102491,x102492)))),x102494)))
% 218.59/218.71 [10265]P144(f822(f822(f226(f892(f891(x102651,x102652),a882)),x102653),x102654))+~P144(f822(f822(f226(f892(x102651,f892(x102652,a882))),f822(f822(f9(x102651,f892(f891(x102651,x102652),a882),f892(x102652,a882)),f822(f822(f10(f892(x102652,f892(f892(f891(x102651,x102652),a882),a882)),f892(f892(f891(x102651,x102652),a882),f892(x102652,a882)),x102651),f9(x102652,f892(f891(x102651,x102652),a882),a882)),f822(f822(f10(f892(x102652,f891(x102651,x102652)),f892(x102652,f892(f892(f891(x102651,x102652),a882),a882)),x102651),f822(f10(f891(x102651,x102652),f892(f892(f891(x102651,x102652),a882),a882),x102652),f318(f891(x102651,x102652)))),f243(x102651,x102652)))),x102653)),f822(f822(f9(x102651,f892(f891(x102651,x102652),a882),f892(x102652,a882)),f822(f822(f10(f892(x102652,f892(f892(f891(x102651,x102652),a882),a882)),f892(f892(f891(x102651,x102652),a882),f892(x102652,a882)),x102651),f9(x102652,f892(f891(x102651,x102652),a882),a882)),f822(f822(f10(f892(x102652,f891(x102651,x102652)),f892(x102652,f892(f892(f891(x102651,x102652),a882),a882)),x102651),f822(f10(f891(x102651,x102652),f892(f892(f891(x102651,x102652),a882),a882),x102652),f318(f891(x102651,x102652)))),f243(x102651,x102652)))),x102654)))
% 218.59/218.71 [9317]~P144(f822(f822(f318(f891(x93171,x93171)),x93172),f296(x93171,x93174)))+P144(f822(f822(f318(f891(x93171,x93171)),x93172),f296(x93171,f822(f822(f96(f892(f891(x93171,x93171),a882)),x93173),x93174))))
% 218.59/218.71 [9318]~P144(f822(f822(f318(f891(x93181,x93181)),x93182),f296(x93181,x93183)))+P144(f822(f822(f318(f891(x93181,x93181)),x93182),f296(x93181,f822(f822(f96(f892(f891(x93181,x93181),a882)),x93183),x93184))))
% 218.59/218.71 [9993]~P144(f822(f822(f227(a885),f822(f822(f79(a885),x99931),x99934)),f822(f822(f79(a885),x99933),x99932)))+P144(f822(f822(f227(a1),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x99931),x99932)),f182(f892(f891(a885,a885),a882)))))),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x99933),x99934)),f182(f892(f891(a885,a885),a882)))))))
% 218.59/218.71 [9994]~P144(f822(f822(f226(a885),f822(f822(f79(a885),x99941),x99944)),f822(f822(f79(a885),x99943),x99942)))+P144(f822(f822(f226(a1),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x99941),x99942)),f182(f892(f891(a885,a885),a882)))))),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x99943),x99944)),f182(f892(f891(a885,a885),a882)))))))
% 218.59/218.71 [10083]P144(f822(f822(f227(a885),f822(f822(f79(a885),x100831),x100832)),f822(f822(f79(a885),x100833),x100834)))+~P144(f822(f822(f227(a1),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x100831),x100834)),f182(f892(f891(a885,a885),a882)))))),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x100833),x100832)),f182(f892(f891(a885,a885),a882)))))))
% 218.59/218.71 [10084]P144(f822(f822(f226(a885),f822(f822(f79(a885),x100841),x100842)),f822(f822(f79(a885),x100843),x100844)))+~P144(f822(f822(f226(a1),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x100841),x100844)),f182(f892(f891(a885,a885),a882)))))),f822(a88,f822(f274(f891(a885,a885),f891(a885,a885),a104),f822(f822(f298(f891(a885,a885)),f822(f822(f243(a885,a885),x100843),x100842)),f182(f892(f891(a885,a885),a882)))))))
% 218.59/218.71 [10127]P144(f822(f822(f226(f892(x101271,a882)),f822(f822(f38(a885,f892(x101271,a882)),f233(f892(a885,a882))),x101272)),f822(f822(f38(a885,f892(x101271,a882)),f233(f892(a885,a882))),x101273)))+~P144(f822(f822(f226(f892(x101271,a882)),f822(f822(f38(a885,f892(x101271,a882)),f822(f291(a885,f2(a885)),f377(x101273,x101274,x101272,x101271))),x101272)),f822(f822(f38(a885,f892(x101271,a882)),f822(f291(a885,f2(a885)),f822(f822(f79(a885),f377(x101273,x101274,x101272,x101271)),x101274))),x101273)))
% 218.59/218.71 [10181]P144(f822(f822(f226(a94),x101814),f2(a94)))+E(f822(f822(f250(f891(a94,a94),f891(x101811,f892(a888,a312)),f891(a94,a94),f891(f892(a94,f892(a882,f889(f886(x101811)))),f891(a94,a94))),f822(x101812,x101813)),f822(f822(f10(f892(f892(a94,f892(a882,f889(f886(x101811)))),f892(f891(a94,a94),f891(f892(a94,f892(a882,f889(f886(x101811)))),f891(a94,a94)))),f892(f891(a94,a94),f891(f892(a94,f892(a882,f889(f886(x101811)))),f891(a94,a94))),f891(x101811,f892(a888,a312))),f822(f250(f891(a94,a94),f892(a94,f892(a882,f889(f886(x101811)))),f891(a94,a94),f891(f892(a94,f892(a882,f889(f886(x101811)))),f891(a94,a94))),f266(x101811,x101812,f822(f822(f3(a94),x101814),f77(a94)),x101813))),f822(f822(f10(f892(f892(a94,f892(a882,f889(f886(x101811)))),f892(a94,f892(a882,f889(f886(x101811))))),f892(f892(a94,f892(a882,f889(f886(x101811)))),f892(f891(a94,a94),f891(f892(a94,f892(a882,f889(f886(x101811)))),f891(a94,a94)))),f891(x101811,f892(a888,a312))),f822(f10(f892(a94,f892(a882,f889(f886(x101811)))),f892(f891(a94,a94),f891(f892(a94,f892(a882,f889(f886(x101811)))),f891(a94,a94))),f892(a94,f892(a882,f889(f886(x101811))))),f243(f892(a94,f892(a882,f889(f886(x101811)))),f891(a94,a94)))),f822(f822(f10(f892(a94,f892(a882,f889(f886(x101811)))),f892(f892(a94,f892(a882,f889(f886(x101811)))),f892(a94,f892(a882,f889(f886(x101811))))),f891(x101811,f892(a888,a312))),f43(x101811)),f822(f822(f10(x101811,f892(a94,f892(a882,f889(f886(x101811)))),f891(x101811,f892(a888,a312))),f41(x101811)),f242(x101811,f892(a888,a312))))))),f266(x101811,x101812,x101814,x101813))
% 218.59/218.71 [10239]~P144(f822(f822(f318(x102392),x102394),f822(f273(x102391,x102392),x102393)))+P144(f822(f241(x102391,x102392,f822(f822(f9(x102391,f892(f891(x102391,x102392),a882),f892(x102392,a882)),f822(f822(f10(f892(x102392,f892(f892(f891(x102391,x102392),a882),a882)),f892(f892(f891(x102391,x102392),a882),f892(x102392,a882)),x102391),f9(x102392,f892(f891(x102391,x102392),a882),a882)),f822(f822(f10(f892(x102392,f891(x102391,x102392)),f892(x102392,f892(f892(f891(x102391,x102392),a882),a882)),x102391),f822(f10(f891(x102391,x102392),f892(f892(f891(x102391,x102392),a882),a882),x102392),f318(f891(x102391,x102392)))),f243(x102391,x102392)))),x102393)),x102394))
% 218.59/218.71 [10240]~P144(f822(f822(f318(x102401),x102404),f822(f255(x102401,x102402),x102403)))+P144(f822(f240(x102401,x102402,f822(f822(f9(x102401,f892(f891(x102401,x102402),a882),f892(x102402,a882)),f822(f822(f10(f892(x102402,f892(f892(f891(x102401,x102402),a882),a882)),f892(f892(f891(x102401,x102402),a882),f892(x102402,a882)),x102401),f9(x102402,f892(f891(x102401,x102402),a882),a882)),f822(f822(f10(f892(x102402,f891(x102401,x102402)),f892(x102402,f892(f892(f891(x102401,x102402),a882),a882)),x102401),f822(f10(f891(x102401,x102402),f892(f892(f891(x102401,x102402),a882),a882),x102402),f318(f891(x102401,x102402)))),f243(x102401,x102402)))),x102403)),x102404))
% 218.59/218.71 [10252]P144(f822(f822(f318(x102521),x102522),f822(f273(x102523,x102521),x102524)))+~P144(f822(f241(x102523,x102521,f822(f822(f9(x102523,f892(f891(x102523,x102521),a882),f892(x102521,a882)),f822(f822(f10(f892(x102521,f892(f892(f891(x102523,x102521),a882),a882)),f892(f892(f891(x102523,x102521),a882),f892(x102521,a882)),x102523),f9(x102521,f892(f891(x102523,x102521),a882),a882)),f822(f822(f10(f892(x102521,f891(x102523,x102521)),f892(x102521,f892(f892(f891(x102523,x102521),a882),a882)),x102523),f822(f10(f891(x102523,x102521),f892(f892(f891(x102523,x102521),a882),a882),x102521),f318(f891(x102523,x102521)))),f243(x102523,x102521)))),x102524)),x102522))
% 218.59/218.71 [10253]P144(f822(f822(f318(x102531),x102532),f822(f255(x102531,x102533),x102534)))+~P144(f822(f240(x102531,x102533,f822(f822(f9(x102531,f892(f891(x102531,x102533),a882),f892(x102533,a882)),f822(f822(f10(f892(x102533,f892(f892(f891(x102531,x102533),a882),a882)),f892(f892(f891(x102531,x102533),a882),f892(x102533,a882)),x102531),f9(x102533,f892(f891(x102531,x102533),a882),a882)),f822(f822(f10(f892(x102533,f891(x102531,x102533)),f892(x102533,f892(f892(f891(x102531,x102533),a882),a882)),x102531),f822(f10(f891(x102531,x102533),f892(f892(f891(x102531,x102533),a882),a882),x102533),f318(f891(x102531,x102533)))),f243(x102531,x102533)))),x102534)),x102532))
% 218.59/218.71 [9918]P144(f822(f152(x99181,x99182),x99183))+~P144(f822(f152(x99181,f822(f822(f20(x99181,a882,a882),f822(f822(f10(a882,f892(a882,a882),x99181),a315),x99184)),x99182)),x99183))
% 218.59/218.71 [9919]P144(f822(f152(x99191,x99192),x99193))+~P144(f822(f152(x99191,f822(f822(f20(x99191,a882,a882),f822(f822(f10(a882,f892(a882,a882),x99191),a315),x99192)),x99194)),x99193))
% 218.59/218.71 [10007]~P112(x100071)+E(f822(f822(f80(x100071),f822(f822(f79(x100071),f77(x100071)),f77(x100071))),f822(f822(f8(a885,x100071),f822(f822(f10(x100071,x100071,a885),f822(f79(x100071),x100072)),f822(f822(f9(a885,x100071,x100071),f822(f822(f10(x100071,f892(x100071,x100071),a885),f80(x100071)),f95(x100071))),x100073))),f822(f271(a885),x100074))),f822(f822(f80(x100071),f822(f95(x100071),x100074)),f822(f822(f79(x100071),x100072),f822(f822(f79(x100071),x100072),f822(f822(f80(x100071),f822(f95(x100071),f822(f822(f3(a885),x100074),f77(a885)))),x100073)))))
% 218.59/218.71 [10148]P144(f822(x101481,f549(x101482,x101483,x101484,x101481)))+P36(x101482,f822(f253(f891(x101482,x101482)),f822(f248(x101482,x101482,a882),f822(f822(f10(f892(x101482,a882),f892(x101482,a882),x101482),f822(f20(x101482,a882,a882),f822(f822(f10(a882,f892(a882,a882),x101482),a315),x101481))),f822(f822(f9(x101482,f892(x101482,x101482),f892(x101482,a882)),f822(f822(f10(f892(x101482,a882),f892(f892(x101482,x101482),f892(x101482,a882)),x101482),f10(x101482,a882,x101482)),a314)),x101483)))))
% 218.59/218.71 [10159]~P144(f822(f822(f227(a885),f822(x101594,f822(x101593,f549(x101591,x101593,x101594,x101592)))),f822(x101594,f549(x101591,x101593,x101594,x101592))))+P36(x101591,f822(f253(f891(x101591,x101591)),f822(f248(x101591,x101591,a882),f822(f822(f10(f892(x101591,a882),f892(x101591,a882),x101591),f822(f20(x101591,a882,a882),f822(f822(f10(a882,f892(a882,a882),x101591),a315),x101592))),f822(f822(f9(x101591,f892(x101591,x101591),f892(x101591,a882)),f822(f822(f10(f892(x101591,a882),f892(f892(x101591,x101591),f892(x101591,a882)),x101591),f10(x101591,a882,x101591)),a314)),x101593)))))
% 218.59/218.71 [10226]~P7(x102261)+E(f37(x102261,f822(f253(x102261),f822(f822(f10(f892(f892(x102262,x102261),a882),a882,x102261),f86(f892(x102262,x102261))),f822(f822(f10(f892(f892(x102262,x102261),a882),f892(f892(x102262,x102261),a882),x102261),f822(f20(f892(x102262,x102261),a882,a882),f822(f822(f10(a882,f892(a882,a882),f892(x102262,x102261)),a315),f822(f822(f9(f892(x102262,x102261),f892(f892(x102262,x102261),a882),a882),f318(f892(x102262,x102261))),x102263)))),f822(f822(f9(x102261,f892(f892(x102262,x102261),x102261),f892(f892(x102262,x102261),a882)),f822(f822(f10(f892(x102261,a882),f892(f892(f892(x102262,x102261),x102261),f892(f892(x102262,x102261),a882)),x102261),f10(x102261,a882,f892(x102262,x102261))),a314)),f822(f822(f9(f892(x102262,x102261),x102262,x102261),f7(f892(x102262,x102261))),x102264)))))),f822(f37(f892(x102262,x102261),x102263),x102264))
% 218.59/218.71 [10227]~P7(x102271)+E(f37(x102271,f822(f253(x102271),f822(f822(f10(f892(f892(x102272,x102271),a882),a882,x102271),f86(f892(x102272,x102271))),f822(f822(f10(f892(f892(x102272,x102271),a882),f892(f892(x102272,x102271),a882),x102271),f822(f20(f892(x102272,x102271),a882,a882),f822(f822(f10(a882,f892(a882,a882),f892(x102272,x102271)),a315),f822(f822(f9(f892(x102272,x102271),f892(f892(x102272,x102271),a882),a882),f318(f892(x102272,x102271))),x102273)))),f822(f822(f9(x102271,f892(f892(x102272,x102271),x102271),f892(f892(x102272,x102271),a882)),f822(f822(f10(f892(x102271,a882),f892(f892(f892(x102272,x102271),x102271),f892(f892(x102272,x102271),a882)),x102271),f10(x102271,a882,f892(x102272,x102271))),a314)),f822(f822(f9(f892(x102272,x102271),x102272,x102271),f7(f892(x102272,x102271))),x102274)))))),f822(f37(f892(x102272,x102271),x102273),x102274))
% 218.59/218.71 [10228]~P7(x102281)+E(f36(x102281,f822(f253(x102281),f822(f822(f10(f892(f892(x102282,x102281),a882),a882,x102281),f86(f892(x102282,x102281))),f822(f822(f10(f892(f892(x102282,x102281),a882),f892(f892(x102282,x102281),a882),x102281),f822(f20(f892(x102282,x102281),a882,a882),f822(f822(f10(a882,f892(a882,a882),f892(x102282,x102281)),a315),f822(f822(f9(f892(x102282,x102281),f892(f892(x102282,x102281),a882),a882),f318(f892(x102282,x102281))),x102283)))),f822(f822(f9(x102281,f892(f892(x102282,x102281),x102281),f892(f892(x102282,x102281),a882)),f822(f822(f10(f892(x102281,a882),f892(f892(f892(x102282,x102281),x102281),f892(f892(x102282,x102281),a882)),x102281),f10(x102281,a882,f892(x102282,x102281))),a314)),f822(f822(f9(f892(x102282,x102281),x102282,x102281),f7(f892(x102282,x102281))),x102284)))))),f822(f36(f892(x102282,x102281),x102283),x102284))
% 218.59/218.71 [10229]~P7(x102291)+E(f36(x102291,f822(f253(x102291),f822(f822(f10(f892(f892(x102292,x102291),a882),a882,x102291),f86(f892(x102292,x102291))),f822(f822(f10(f892(f892(x102292,x102291),a882),f892(f892(x102292,x102291),a882),x102291),f822(f20(f892(x102292,x102291),a882,a882),f822(f822(f10(a882,f892(a882,a882),f892(x102292,x102291)),a315),f822(f822(f9(f892(x102292,x102291),f892(f892(x102292,x102291),a882),a882),f318(f892(x102292,x102291))),x102293)))),f822(f822(f9(x102291,f892(f892(x102292,x102291),x102291),f892(f892(x102292,x102291),a882)),f822(f822(f10(f892(x102291,a882),f892(f892(f892(x102292,x102291),x102291),f892(f892(x102292,x102291),a882)),x102291),f10(x102291,a882,f892(x102292,x102291))),a314)),f822(f822(f9(f892(x102292,x102291),x102292,x102291),f7(f892(x102292,x102291))),x102294)))))),f822(f36(f892(x102292,x102291),x102293),x102294))
% 218.59/218.71 [10278]~P144(f822(f822(f318(f891(x102781,x102781)),f822(f822(f243(x102781,x102781),x102783),x102784)),f822(f822(f96(f892(f891(x102781,x102781),a882)),x102782),f296(x102781,f182(f892(f891(x102781,x102781),a882))))))+P144(f822(f822(f822(f822(f96(f892(x102781,f892(x102781,a882))),f822(f822(f9(x102781,f892(f891(x102781,x102781),a882),f892(x102781,a882)),f822(f822(f10(f892(x102781,f892(f892(f891(x102781,x102781),a882),a882)),f892(f892(f891(x102781,x102781),a882),f892(x102781,a882)),x102781),f9(x102781,f892(f891(x102781,x102781),a882),a882)),f822(f822(f10(f892(x102781,f891(x102781,x102781)),f892(x102781,f892(f892(f891(x102781,x102781),a882),a882)),x102781),f822(f10(f891(x102781,x102781),f892(f892(f891(x102781,x102781),a882),a882),x102781),f318(f891(x102781,x102781)))),f243(x102781,x102781)))),x102782)),a314),x102783),x102784))
% 218.59/218.71 [10286]P144(f822(f822(f318(f891(x102861,x102861)),f822(f822(f243(x102861,x102861),x102862),x102863)),f822(f822(f96(f892(f891(x102861,x102861),a882)),x102864),f296(x102861,f182(f892(f891(x102861,x102861),a882))))))+~P144(f822(f822(f822(f822(f96(f892(x102861,f892(x102861,a882))),f822(f822(f9(x102861,f892(f891(x102861,x102861),a882),f892(x102861,a882)),f822(f822(f10(f892(x102861,f892(f892(f891(x102861,x102861),a882),a882)),f892(f892(f891(x102861,x102861),a882),f892(x102861,a882)),x102861),f9(x102861,f892(f891(x102861,x102861),a882),a882)),f822(f822(f10(f892(x102861,f891(x102861,x102861)),f892(x102861,f892(f892(f891(x102861,x102861),a882),a882)),x102861),f822(f10(f891(x102861,x102861),f892(f892(f891(x102861,x102861),a882),a882),x102861),f318(f891(x102861,x102861)))),f243(x102861,x102861)))),x102864)),a314),x102862),x102863))
% 218.59/218.71 [10236]E(f822(f822(f143(f887(x102361)),f822(f822(f143(x102361),x102362),f822(f134(f887(x102361),f887(x102361),f126(x102361),f108(x102361)),f822(f822(f146(f887(x102361),f887(x102361)),f148(f887(x102361),x102361,f108(x102361),f822(f822(f10(f887(x102361),f892(f887(x102361),f887(x102361)),x102361),f18(f887(x102361),f887(x102361))),f822(f822(f9(x102361,f887(x102361),f887(x102361)),f143(x102361)),f108(x102361))))),x102363)))),f171(x102361,f822(f822(f143(f887(x102361)),x102364),f822(f134(f887(f887(x102361)),f887(f887(x102361)),f126(f887(x102361)),f108(f887(x102361))),f822(f822(f146(f887(x102361),f887(f887(x102361))),f148(f887(f887(x102361)),x102361,f108(f887(x102361)),f822(f18(f892(f887(x102361),f887(f887(x102361))),x102361),f822(f822(f9(f887(x102361),f887(f887(x102361)),f887(f887(x102361))),f143(f887(x102361))),f108(f887(x102361)))))),x102363))))),f171(x102361,f822(f822(f143(f887(x102361)),f822(f822(f143(x102361),x102362),x102364)),x102363)))+~P144(f822(f304(f887(f887(x102361)),f172(x102361)),f822(f822(f143(f887(x102361)),f822(f822(f143(x102361),x102362),x102364)),x102363)))
% 218.59/218.71 [10277]~P144(f822(f60(x102772),f822(f253(x102772),x102774)))+P144(f822(f60(x102771),f822(f253(x102771),f822(f822(f10(f892(x102772,a882),a882,x102771),f86(x102772)),f822(f822(f9(x102771,f892(x102772,a882),f892(x102772,a882)),f822(f822(f10(f892(x102772,f892(a882,a882)),f892(f892(x102772,a882),f892(x102772,a882)),x102771),f20(x102772,a882,a882)),f822(f822(f10(f892(x102772,a882),f892(x102772,f892(a882,a882)),x102771),f822(f10(a882,f892(a882,a882),x102772),a315)),f822(f822(f9(x102771,f892(x102772,x102771),f892(x102772,a882)),f822(f822(f10(f892(x102771,a882),f892(f892(x102772,x102771),f892(x102772,a882)),x102771),f10(x102771,a882,x102772)),a314)),x102773)))),x102774)))))
% 218.59/218.71 [5253]E(x52531,x52532)+~E(f161(x52533,x52531,x52534),f161(x52533,x52532,x52535))
% 218.59/218.71 [5254]E(x52541,x52542)+~E(f120(x52543,x52544,x52541),f120(x52543,x52545,x52542))
% 218.59/218.71 [5255]E(x52551,x52552)+~E(f120(x52553,x52551,x52554),f120(x52553,x52552,x52555))
% 218.59/218.71 [8173]~E(f822(x81733,x81734),x81735)+E(f74(x81731,x81732,x81733,x81734,x81735),x81733)
% 218.59/218.71 [8692]~E(f74(x86924,x86925,x86921,x86922,x86923),x86921)+E(f822(x86921,x86922),x86923)
% 218.59/218.71 [9177]~P40(f30(x91771,x91775),x91772,x91773,x91774)+P40(x91771,x91772,x91773,f544(x91774,x91773,x91772,x91775,x91771))
% 218.59/218.71 [9178]~P40(f30(x91781,x91785),x91782,x91783,x91784)+P40(x91781,x91782,x91783,f656(x91784,x91783,x91782,x91785,x91781))
% 218.59/218.71 [9179]~P40(f30(x91795,x91791),x91794,x91793,x91792)+P40(x91791,f544(x91792,x91793,x91794,x91791,x91795),x91793,x91792)
% 218.59/218.71 [9180]~P40(f30(x91805,x91801),x91804,x91803,x91802)+P40(x91801,f656(x91802,x91803,x91804,x91801,x91805),x91803,x91802)
% 218.59/218.71 [6077]P144(f822(f241(x60771,x60772,x60773),x60774))+~P144(f822(f822(x60773,x60775),x60774))
% 218.59/218.71 [6079]P144(f822(f240(x60791,x60792,x60793),x60794))+~P144(f822(f822(x60793,x60794),x60795))
% 218.59/218.72 [6579]~E(x65795,f2(a94))+E(f822(f190(x65791,x65792,x65793,x65794),x65795),f118(x65792))
% 218.59/218.72 [6580]~E(x65805,f2(a94))+E(f822(f192(x65801,x65802,x65803,x65804),x65805),f110(x65802))
% 218.59/218.72 [6724]~E(x67243,f2(a94))+E(f822(f262(x67241,x67242,x67243,x67244),x67245),f822(f243(x67241,x67242),x67245))
% 218.59/218.72 [7816]~P22(x78164,x78161,x78162,x78165)+E(f822(f72(x78161,x78161,x78161,f822(x78162,x78163)),f822(x78162,x78163)),f822(x78162,x78163))
% 218.59/218.72 [8215]~P18(x82155,x82151,x82152)+E(f822(f72(x82151,x82151,x82151,f822(x82152,x82153)),f822(x82152,x82154)),f822(f72(x82151,x82151,x82151,f822(x82152,x82154)),f822(x82152,x82153)))
% 218.59/218.72 [8532]P144(f822(f822(f318(f891(x85321,x85321)),f822(f822(f243(x85321,x85321),x85322),x85323)),f310(x85321,x85324,x85325)))+~P144(f822(f822(f227(a885),f822(x85324,x85322)),f822(x85324,x85323)))
% 218.59/218.72 [8625]~P144(f822(f822(f318(x86254),x86253),f279(x86254,x86251,x86252,x86255)))+P144(f822(f822(x86251,x86252),x86253))
% 218.59/218.72 [8626]~P144(f822(f822(f318(x86264),x86263),f288(x86264,x86261,x86262,x86265)))+P144(f822(f822(x86261,x86262),x86263))
% 218.59/218.72 [8627]~P144(f822(f822(f318(x86274),x86272),f279(x86274,x86271,x86275,x86273)))+P144(f822(f822(x86271,x86272),x86273))
% 218.59/218.72 [8628]~P144(f822(f822(f318(x86284),x86282),f288(x86284,x86281,x86285,x86283)))+P144(f822(f822(x86281,x86282),x86283))
% 218.59/218.72 [8761]~P58(x87612,x87611,x87615,x87613,x87614)+E(f822(f299(x87611,x87612,x87613),x87614),f233(f892(x87612,a882)))
% 218.59/218.72 [9201]~P33(x92011,x92012,x92013,x92014,x92015)+P33(x92011,x92012,x92013,f822(f160(x92011),x92014),f822(f160(x92012),x92015))
% 218.59/218.72 [9203]~P33(x92031,x92032,x92033,f822(f160(x92031),x92034),x92035)+P33(x92031,x92032,x92033,x92034,f822(f160(x92032),x92035))
% 218.59/218.72 [9204]~P33(x92041,x92042,x92043,x92044,f822(f160(x92042),x92045))+P33(x92041,x92042,x92043,f822(f160(x92041),x92044),x92045)
% 218.59/218.72 [9210]P33(x92101,x92102,x92103,x92104,x92105)+~P33(x92101,x92102,x92103,f822(f160(x92101),x92104),f822(f160(x92102),x92105))
% 218.59/218.72 [9603]P144(f822(f822(f318(f891(f887(x96031),f887(x96031))),f822(f822(f243(f887(x96031),f887(x96031)),f822(f822(f143(x96031),x96032),x96033)),f822(f822(f143(x96031),x96032),x96034))),f149(x96031,x96035)))+~P144(f822(f822(f318(f891(f887(x96031),f887(x96031))),f822(f822(f243(f887(x96031),f887(x96031)),x96033),x96034)),f149(x96031,x96035)))
% 218.59/218.72 [9604]P144(f822(f822(f318(f891(f887(x96041),f887(x96041))),f822(f822(f243(f887(x96041),f887(x96041)),f822(f822(f126(x96041),x96042),x96043)),f822(f822(f126(x96041),x96042),x96044))),f139(x96041,x96045)))+~P144(f822(f822(f318(f891(f887(x96041),f887(x96041))),f822(f822(f243(f887(x96041),f887(x96041)),x96043),x96044)),f139(x96041,x96045)))
% 218.59/218.72 [9658]~E(f822(x96583,f854(x96582,x96581,x96584,x96585,x96583)),f822(f176(x96585,x96584,x96581),f854(x96582,x96581,x96584,x96585,x96583)))+E(f822(f822(x96581,x96582),f822(x96583,x96582)),f822(x96583,f822(a107,x96582)))
% 218.59/218.72 [9797]E(f822(f822(f143(x97971),f669(x97972,x97973,x97974,x97975,x97971)),f670(x97972,x97973,x97974,x97975,x97971)),x97975)+~P144(f822(f822(f318(f891(f887(x97971),f887(x97971))),f822(f822(f243(f887(x97971),f887(x97971)),x97975),f822(f822(f143(x97971),x97974),x97973))),f150(x97971,x97972)))
% 218.59/218.72 [9826]E(f822(f822(f143(x98261),f671(x98262,x98263,x98264,x98265,x98261)),f672(x98262,x98263,x98264,x98265,x98261)),x98263)+~P144(f822(f822(f318(f891(f887(x98261),f887(x98261))),f822(f822(f243(f887(x98261),f887(x98261)),f822(f822(f143(x98261),x98265),x98264)),x98263)),f150(x98261,x98262)))
% 218.59/218.72 [9967]~P144(f822(f822(f318(f891(f887(x99671),f887(x99671))),f822(f822(f243(f887(x99671),f887(x99671)),f822(f822(f143(x99671),x99675),x99672)),x99674)),f150(x99671,x99673)))+P144(f822(f822(f318(f891(f887(x99671),f887(x99671))),f822(f822(f243(f887(x99671),f887(x99671)),x99672),f672(x99673,x99674,x99672,x99675,x99671))),f150(x99671,x99673)))
% 218.59/218.72 [10050]~P144(f822(f822(f318(f891(f887(x100501),f887(x100501))),f822(f822(f243(f887(x100501),f887(x100501)),x100505),f822(f822(f143(x100501),x100504),x100503))),f150(x100501,x100502)))+P144(f822(f822(f318(f891(f887(x100501),f887(x100501))),f822(f822(f243(f887(x100501),f887(x100501)),f670(x100502,x100503,x100504,x100505,x100501)),x100503)),f150(x100501,x100502)))
% 218.59/218.72 [10230]P144(f822(f822(f318(f891(x102301,x102301)),f822(f822(f243(x102301,x102301),f822(x102302,f822(f822(f79(a885),x102303),x102304))),f822(x102302,x102303))),f296(x102301,x102305)))+~P144(f822(f822(f318(f891(x102301,x102301)),f822(f822(f243(x102301,x102301),f822(x102302,f822(a107,f600(x102304,x102303,x102305,x102302,x102301)))),f822(x102302,f600(x102304,x102303,x102305,x102302,x102301)))),f296(x102301,x102305)))
% 218.59/218.72 [5220]E(x52201,x52202)+~E(f822(f822(f143(x52203),x52204),x52201),f822(f822(f143(x52203),x52205),x52202))
% 218.59/218.72 [5221]E(x52211,x52212)+~E(f822(f822(f143(x52213),x52211),x52214),f822(f822(f143(x52213),x52212),x52215))
% 218.59/218.72 [5270]P144(f822(x52701,x52702))+~E(f822(f128(x52703,x52701),x52704),f822(f822(f143(x52703),x52702),x52705))
% 218.59/218.72 [5271]P144(f822(x52711,x52712))+~E(f822(f822(f143(x52713),x52712),x52714),f822(f128(x52713,x52711),x52715))
% 218.59/218.72 [5432]~E(f822(f822(f130(x54321),x54323),x54322),f822(f822(f143(x54321),x54324),x54325))+E(f822(f822(f156(x54321),x54322),x54323),x54324)
% 218.59/218.72 [5572]~P16(x55724,x55725,x55721)+E(f822(f822(x55721,x55722),f822(f822(x55721,x55722),x55723)),f822(f822(x55721,x55722),x55723))
% 218.59/218.72 [6136]~E(x61364,f2(a94))+E(f822(f822(f112(x61361,x61362,x61363),x61364),x61365),f822(f822(f243(f887(x61362),x61361),f108(x61362)),x61365))
% 218.59/218.72 [6213]~P92(x62132)+~E(f822(f822(f140(x62131,x62132,x62133),x62134),x62135),f108(x62131))
% 218.59/218.72 [6620]E(x66201,x66202)+~E(f822(f822(f126(x66203),x66204),f822(f822(f143(x66203),x66201),f108(x66203))),f822(f822(f126(x66203),x66205),f822(f822(f143(x66203),x66202),f108(x66203))))
% 218.59/218.72 [6621]E(x66211,x66212)+~E(f822(f822(f126(x66213),x66211),f822(f822(f143(x66213),x66214),f108(x66213))),f822(f822(f126(x66213),x66212),f822(f822(f143(x66213),x66215),f108(x66213))))
% 218.59/218.72 [6951]E(f822(f822(f298(x69511),f822(x69512,x69513)),f822(f299(x69514,x69511,x69512),x69515)),f822(f299(x69514,x69511,x69512),x69515))+~P144(f822(f822(f318(x69514),x69513),x69515))
% 218.59/218.72 [6959]~P144(f822(x69594,f822(x69593,x69595)))+P144(f822(f822(f300(x69591,x69592,x69593),x69594),x69595))
% 218.59/218.72 [6962]~P144(f822(f822(x69623,x69625),x69624))+P144(f822(f822(f234(x69621,x69622,x69623),x69624),x69625))
% 218.59/218.72 [7062]~E(f822(f299(x70621,x70622,x70623),x70624),x70625)+E(f822(f299(f892(x70621,a882),f892(x70622,a882),f299(x70621,x70622,x70623)),f822(f297(x70621),x70624)),f822(f297(x70622),x70625))
% 218.59/218.72 [7416]P26(x74161,x74162,x74163,x74164)+~P26(x74161,x74162,x74163,f822(f822(f298(x74161),x74165),x74164))
% 218.59/218.72 [7529]~P144(f822(f822(f318(x75294),x75293),x75295))+P144(f822(f822(f318(x75291),f822(x75292,x75293)),f822(f299(x75294,x75291,x75292),x75295)))
% 218.59/218.72 [7550]~P92(x75502)+E(f142(x75501,x75502,x75503,f822(f128(x75501,x75504),x75505)),f822(f128(x75501,x75504),f142(x75501,x75502,x75503,x75505)))
% 218.59/218.72 [7582]P144(f822(x75821,f822(x75822,x75823)))+~P144(f822(f822(f300(x75824,x75825,x75822),x75821),x75823))
% 218.59/218.72 [7585]P144(f822(f822(x75851,x75852),x75853))+~P144(f822(f822(f234(x75854,x75855,x75851),x75853),x75852))
% 218.59/218.72 [7651]~P144(f822(f822(f318(x76513),f822(x76514,x76512)),x76515))+P144(f822(f822(f318(x76511),x76512),f822(f300(x76511,x76513,x76514),x76515)))
% 218.59/218.72 [8053]~P144(f822(f822(f318(x80535),x80533),f822(f300(x80535,x80531,x80532),x80534)))+P144(f822(f822(f318(x80531),f822(x80532,x80533)),x80534))
% 218.59/218.72 [8353]~P18(x83532,x83531,x83533)+E(f822(f134(x83531,x83532,f822(f9(x83532,x83531,x83531),x83533),x83534),f144(x83532,x83535)),f822(f822(f63(x83532,x83531,x83533),x83534),f822(f164(x83532),x83535)))
% 218.59/218.72 [8374]E(f822(x83741,f381(x83742,x83741,x83743,x83744)),x83744)+~P144(f822(f822(f318(x83745),x83744),f822(f299(x83743,x83745,x83741),x83742)))
% 218.59/218.72 [8670]~E(x86702,f822(f822(f143(x86701),x86704),x86705))+P144(f822(f822(f318(f891(f887(x86701),f887(x86701))),f822(f822(f243(f887(x86701),f887(x86701)),f108(x86701)),x86702)),f139(x86701,x86703)))
% 218.59/218.72 [8713]P26(x87131,x87132,f91(x87132,x87131,x87133,x87134),x87135)+~P144(f822(f822(f226(f892(x87131,a882)),x87135),f822(f299(x87132,x87131,x87134),x87133)))
% 218.59/218.72 [8720]~P33(x87201,x87203,x87205,x87202,x87204)+E(f822(f183(f887(x87201)),x87202),f822(f183(f887(x87203)),x87204))
% 218.59/218.72 [8731]P144(f822(f822(f226(f892(x87311,a882)),f822(f822(f39(x87312,f892(x87311,a882)),x87313),x87314)),f822(x87314,x87315)))+~P144(f822(f822(f318(x87312),x87315),x87313))
% 218.59/218.72 [8777]~P58(x87771,x87772,x87773,x87775,x87774)+E(f822(f299(x87771,x87772,x87773),f233(f892(x87771,a882))),x87774)
% 218.59/218.72 [8990]E(f822(f128(x89901,x89902),f760(x89903,x89904,x89905,x89902,x89901)),x89903)+~E(f822(f128(x89901,x89902),x89905),f822(f822(f143(x89901),x89904),x89903))
% 218.59/218.72 [8991]E(f822(f128(x89911,x89912),f761(x89913,x89912,x89914,x89915,x89911)),x89914)+~E(f822(f822(f143(x89911),x89915),x89914),f822(f128(x89911,x89912),x89913))
% 218.59/218.72 [9080]E(f822(f183(f887(x90801)),x90802),x90803)+~P144(f822(f822(f318(f891(f887(x90801),f887(x90801))),f822(f822(f243(f887(x90801),f887(x90801)),x90804),x90802)),f822(f135(x90801,x90805),x90803)))
% 218.59/218.72 [9081]E(f822(f183(f887(x90811)),x90812),x90813)+~P144(f822(f822(f318(f891(f887(x90811),f887(x90811))),f822(f822(f243(f887(x90811),f887(x90811)),x90812),x90814)),f822(f135(x90811,x90815),x90813)))
% 218.59/218.72 [9148]P144(f822(f822(f318(x91481),f381(x91482,x91483,x91481,x91484)),x91482))+~P144(f822(f822(f318(x91485),x91484),f822(f299(x91481,x91485,x91483),x91482)))
% 218.59/218.72 [9315]E(f822(f299(x93151,x93152,x93153),f336(x93154,x93153,x93151,x93155,x93152)),x93155)+~P144(f822(f822(f226(f892(x93152,a882)),x93155),f822(f299(x93151,x93152,x93153),x93154)))
% 218.59/218.72 [9621]P144(f822(f822(f318(f891(f887(x96211),f887(x96211))),f822(f822(f243(f887(x96211),f887(x96211)),f822(f822(f143(x96211),x96212),x96213)),f822(f822(f143(x96211),x96212),x96214))),f296(f887(x96211),f149(x96211,x96215))))+~P144(f822(f822(f318(f891(f887(x96211),f887(x96211))),f822(f822(f243(f887(x96211),f887(x96211)),x96213),x96214)),f296(f887(x96211),f149(x96211,x96215))))
% 218.59/218.72 [9651]~E(f822(x96513,f679(x96515,x96514,x96513,x96512,x96511)),f822(x96515,f679(x96515,x96514,x96513,x96512,x96511)))+E(f822(f822(f146(x96511,x96512),x96513),x96514),f822(f822(f146(x96511,x96512),x96515),x96514))
% 218.59/218.72 [9729]~E(f822(f128(x97291,x97295),x97294),f822(f822(f143(x97291),x97293),x97292))+E(f822(f822(f126(x97291),f764(x97292,x97293,x97294,x97295,x97291)),f822(f822(f143(x97291),x97293),f760(x97292,x97293,x97294,x97295,x97291))),x97294)
% 218.59/218.72 [9730]~E(f822(f822(f143(x97301),x97305),x97304),f822(f128(x97301,x97303),x97302))+E(f822(f822(f126(x97301),f762(x97302,x97303,x97304,x97305,x97301)),f822(f822(f143(x97301),x97305),f761(x97302,x97303,x97304,x97305,x97301))),x97302)
% 218.59/218.72 [9734]E(f822(f822(f146(x97341,x97342),x97343),x97344),f822(f822(f146(x97341,x97342),x97345),x97344))+P144(f822(f822(f318(x97341),f679(x97343,x97344,x97345,x97342,x97341)),f822(f164(x97341),x97344)))
% 218.59/218.72 [9764]~P144(f822(f822(f318(x97645),x97644),f822(f274(x97641,x97645,x97643),x97642)))+P144(f822(f822(f318(x97641),f450(x97642,x97643,x97641,x97644,x97645)),x97642))
% 218.59/218.72 [9765]~P144(f822(f822(f318(x97655),x97654),f822(f274(x97651,x97655,x97653),x97652)))+P144(f822(f822(f318(x97651),f459(x97652,x97653,x97651,x97654,x97655)),x97652))
% 218.59/218.72 [9791]~P144(f822(f822(f226(f892(x97915,a882)),x97914),f822(f299(x97911,x97915,x97913),x97912)))+P144(f822(f822(f226(f892(x97911,a882)),f336(x97912,x97913,x97911,x97914,x97915)),x97912))
% 218.59/218.72 [10231]E(x102311,f2(a94))+E(f217(f891(f887(x102312),x102313),f891(x102312,x102313),f822(f822(f243(f887(x102312),x102313),f108(x102312)),x102314),f822(f248(x102312,x102313,f891(f887(x102312),x102313)),f822(f822(f9(x102312,f892(x102313,f891(f887(x102312),x102313)),f892(x102313,f891(f887(x102312),x102313))),f822(f822(f10(f892(f891(f887(x102312),x102313),f891(f887(x102312),x102313)),f892(f892(x102313,f891(f887(x102312),x102313)),f892(x102313,f891(f887(x102312),x102313))),x102312),f10(f891(f887(x102312),x102313),f891(f887(x102312),x102313),x102313)),f822(f822(f10(f892(f887(x102312),f892(x102313,f891(f887(x102312),x102313))),f892(f891(f887(x102312),x102313),f891(f887(x102312),x102313)),x102312),f248(f887(x102312),x102313,f891(f887(x102312),x102313))),f822(f822(f10(f892(f887(x102312),f887(x102312)),f892(f887(x102312),f892(x102313,f891(f887(x102312),x102313))),x102312),f822(f10(f887(x102312),f892(x102313,f891(f887(x102312),x102313)),f887(x102312)),f243(f887(x102312),x102313))),f143(x102312))))),f822(f112(x102313,x102312,x102315),f822(f822(f3(a94),x102311),f77(a94))))),f822(x102315,x102314)),f822(f822(f112(x102313,x102312,x102315),x102311),x102314))
% 218.59/218.72 [6012]E(x60121,x60122)+~E(f822(f247(x60123,x60124),f822(f822(f243(x60123,x60124),x60125),x60121)),x60122)
% 218.59/218.72 [6013]E(x60131,x60132)+~E(f822(f242(x60133,x60134),f822(f822(f243(x60133,x60134),x60131),x60135)),x60132)
% 218.59/218.72 [6288]~E(x62883,f822(f822(f126(x62881),x62884),f822(f822(f143(x62881),x62882),x62885)))+P144(f822(f822(f318(x62881),x62882),f822(f164(x62881),x62883)))
% 218.59/218.72 [6644]E(f44(a885,x66441,x66442),f44(a885,x66443,x66442))+~E(f822(f822(f79(a885),x66441),f822(f822(f80(a885),x66442),x66444)),f822(f822(f79(a885),x66443),f822(f822(f80(a885),x66442),x66445)))
% 218.59/218.72 [6711]E(f822(f299(x67111,x67112,f822(f18(x67112,x67111),x67113)),x67114),f822(f822(f298(x67112),x67113),f182(f892(x67112,a882))))+~P144(f822(f822(f318(x67111),x67115),x67114))
% 218.59/218.72 [6785]E(f822(f822(f96(f892(x67851,a882)),f822(f164(x67851),x67852)),f822(f164(x67851),x67853)),f822(f164(x67851),x67854))+~E(f158(x67851,x67855,x67854),f822(f822(f243(f887(x67851),f887(x67851)),x67852),x67853))
% 218.59/218.72 [6889]~P92(x68892)+E(f822(f183(f887(x68891)),f822(f822(f140(x68891,x68892,x68893),x68894),x68895)),f822(a107,f822(f183(f887(x68891)),x68895)))
% 218.59/218.72 [6903]~P92(x69032)+E(f822(f164(x69031),f822(f822(f140(x69031,x69032,x69033),x69034),x69035)),f822(f822(f298(x69031),x69034),f822(f164(x69031),x69035)))
% 218.59/218.72 [7185]~P112(x71851)+E(f822(f822(f79(x71851),f822(f822(f79(x71851),x71852),x71853)),f822(f822(f79(x71851),x71854),x71855)),f822(f822(f79(x71851),f822(f822(f79(x71851),x71852),x71854)),f822(f822(f79(x71851),x71853),x71855)))
% 218.59/218.72 [7186]~P112(x71861)+E(f822(f822(f80(x71861),f822(f822(f80(x71861),x71862),x71863)),f822(f822(f80(x71861),x71864),x71865)),f822(f822(f80(x71861),f822(f822(f80(x71861),x71862),x71864)),f822(f822(f80(x71861),x71863),x71865)))
% 218.59/218.72 [7187]~P64(x71871)+E(f822(f822(f280(x71871),f822(f822(f80(x71871),x71872),x71873)),f822(f822(f80(x71871),x71874),x71875)),f822(f822(f80(x71871),f822(f822(f280(x71871),x71872),x71874)),f822(f822(f280(x71871),x71873),x71875)))
% 218.59/218.72 [7201]~P92(x72011)+E(f292(x72011,f822(f822(f181(x72011),x72012),x72013),f822(f822(f230(x72011),x72014),x72015)),f822(f822(f97(f892(x72011,a882)),f292(x72011,x72012,x72014)),f292(x72011,x72013,x72015)))
% 218.59/218.72 [7202]~P92(x72021)+E(f294(x72021,f822(f822(f181(x72021),x72022),x72023),f822(f822(f230(x72021),x72024),x72025)),f822(f822(f97(f892(x72021,a882)),f294(x72021,x72022,x72024)),f294(x72021,x72023,x72025)))
% 218.59/218.72 [7203]~P92(x72031)+E(f295(x72031,f822(f822(f181(x72031),x72032),x72033),f822(f822(f230(x72031),x72034),x72035)),f822(f822(f97(f892(x72031,a882)),f295(x72031,x72032,x72034)),f295(x72031,x72033,x72035)))
% 218.59/218.72 [7204]~P92(x72041)+E(f822(f822(f97(f892(x72041,a882)),f822(f291(x72041,x72042),x72043)),f822(f291(x72041,x72044),x72045)),f822(f291(x72041,f822(f822(f181(x72041),x72042),x72044)),f822(f822(f230(x72041),x72043),x72045)))
% 218.59/218.72 [7328]~P144(f822(x73281,f845(x73283,x73282,x73281)))+P144(f822(x73281,f822(f822(f243(x73282,x73283),x73284),x73285)))
% 218.59/218.72 [7448]~E(x74482,f822(x74484,x74485))+P144(f822(f822(f318(x74481),x74482),f822(f299(x74483,x74481,x74484),f233(f892(x74483,a882)))))
% 218.59/218.72 [7526]~P16(x75263,x75262,x75264)+P16(x75261,x75262,f822(f822(f10(x75263,f892(x75262,x75262),x75261),x75264),x75265))
% 218.59/218.72 [7527]~P18(x75273,x75272,x75274)+P18(x75271,x75272,f822(f822(f10(x75273,f892(x75272,x75272),x75271),x75274),x75275))
% 218.59/218.72 [7668]~P26(x76681,x76682,x76683,x76684)+P26(x76681,x76682,x76683,f822(f822(f3(f892(x76681,a882)),x76684),x76685))
% 218.59/218.72 [7825]~P144(f822(f822(x78253,x78254),x78255))+P144(f822(f822(f248(x78251,x78252,a882),x78253),f822(f822(f243(x78251,x78252),x78254),x78255)))
% 218.59/218.72 [7943]~P144(f822(x79432,x79434))+~E(f822(f822(f130(x79431),f822(f183(f887(x79431)),f169(x79431,x79432,x79433))),x79433),f822(f822(f143(x79431),x79434),x79435))
% 218.59/218.72 [7963]P26(x79631,x79632,x79633,x79634)+~P26(x79631,x79632,x79633,f822(f822(f96(f892(x79631,a882)),x79635),x79634))
% 218.59/218.72 [7964]P26(x79641,x79642,x79643,x79644)+~P26(x79641,x79642,x79643,f822(f822(f96(f892(x79641,a882)),x79644),x79645))
% 218.59/218.72 [8013]~P92(x80132)+E(f822(f822(f140(x80131,x80132,x80133),x80134),f142(x80131,x80132,x80133,x80135)),f142(x80131,x80132,x80133,f822(f822(f143(x80131),x80134),x80135)))
% 218.59/218.72 [8330]~P16(x83302,x83301,x83303)+E(f822(f134(x83301,x83302,f822(f9(x83302,x83301,x83301),x83303),x83304),x83305),f822(f822(f63(x83302,x83301,x83303),x83304),f822(f164(x83302),x83305)))
% 218.59/218.72 [8358]~E(f822(f822(f130(x83581),f822(f183(f887(x83581)),f169(x83581,x83582,x83583))),x83583),f822(f822(f143(x83581),x83584),x83585))+E(f822(f822(f126(x83581),f169(x83581,x83582,x83583)),f822(f822(f143(x83581),x83584),x83585)),x83583)
% 218.59/218.72 [8384]P144(f822(f822(x83841,x83842),x83843))+~P144(f822(f822(f248(x83844,x83845,a882),x83841),f822(f822(f243(x83844,x83845),x83842),x83843)))
% 218.59/218.72 [8833]P144(f822(f822(f226(f892(x88331,a882)),f822(f299(x88332,x88331,x88333),x88334)),f822(f299(x88332,x88331,x88333),x88335)))+~P144(f822(f822(f226(f892(x88332,a882)),x88334),x88335))
% 218.59/218.72 [8834]P144(f822(f822(f226(f892(x88341,a882)),f822(f300(x88341,x88342,x88343),x88344)),f822(f300(x88341,x88342,x88343),x88345)))+~P144(f822(f822(f226(f892(x88342,a882)),x88344),x88345))
% 218.59/218.72 [8909]E(x89091,f2(a94))+E(f822(f822(f250(x89092,x89093,x89092,f891(x89093,x89092)),f822(x89094,x89095)),f262(x89093,x89092,f822(f822(f3(a94),x89091),f77(a94)),x89094)),f822(f262(x89093,x89092,x89091,x89094),x89095))
% 218.59/218.72 [9013]P144(f822(f822(f246(x90131,x90132,a882,x90133),x90134),x90135))+~P144(f822(x90133,f822(f822(f243(x90131,x90132),x90134),x90135)))
% 218.59/218.72 [9293]~P144(f822(f822(f246(x92932,x92933,a882,x92931),x92934),x92935))+P144(f822(x92931,f822(f822(f243(x92932,x92933),x92934),x92935)))
% 218.59/218.72 [9568]~P144(f822(f60(x95683),f822(f299(x95682,x95683,x95685),f233(f892(x95682,a882)))))+P144(f822(f60(x95681),f822(f299(x95682,x95681,f822(f822(f10(x95683,x95681,x95682),x95684),x95685)),f233(f892(x95682,a882)))))
% 218.59/218.72 [9590]P144(f822(f822(f226(f892(f892(x95901,a882),a882)),f822(f299(f892(x95902,a882),f892(x95901,a882),f299(x95902,x95901,x95903)),f822(f297(x95902),x95904))),f822(f297(x95901),x95905)))+~P144(f822(f822(f226(f892(x95901,a882)),f822(f299(x95902,x95901,x95903),x95904)),x95905))
% 218.59/218.72 [9660]E(x96601,x96602)+~P144(f822(f65(x96603,x96604,x96605,x96601,f182(f892(x96603,a882))),x96602))
% 218.59/218.72 [9675]E(f822(f822(f243(x96751,x96752),f506(x96753,x96754,x96755,x96752,x96751)),f507(x96753,x96754,x96755,x96752,x96751)),x96755)+~P144(f822(f822(f318(f891(x96751,x96752)),x96755),f822(f822(f245(x96751,x96752),x96754),x96753)))
% 218.59/218.72 [9769]P144(f822(f822(f318(x97691),f506(x97692,x97693,x97694,x97695,x97691)),x97693))+~P144(f822(f822(f318(f891(x97691,x97695)),x97694),f822(f822(f245(x97691,x97695),x97693),x97692)))
% 218.59/218.72 [9926]P144(f822(f822(f318(x99261),f507(x99262,x99263,x99264,x99261,x99265)),f822(x99262,f506(x99262,x99263,x99264,x99261,x99265))))+~P144(f822(f822(f318(f891(x99265,x99261)),x99264),f822(f822(f245(x99265,x99261),x99263),x99262)))
% 218.59/218.72 [9946]P144(f822(f822(f318(f891(x99461,x99461)),f822(f822(f243(x99461,x99461),x99462),f642(x99463,x99464,x99465,x99462,x99461))),x99463))+~P144(f822(f822(f318(f891(x99461,x99461)),f822(f822(f243(x99461,x99461),x99462),x99465)),f822(f822(f175(f891(x99461,x99461),a882),f822(a107,x99464)),x99463)))
% 218.59/218.72 [9947]P144(f822(f822(f318(f891(x99471,x99471)),f822(f822(f243(x99471,x99471),x99472),f643(x99473,x99474,x99475,x99472,x99471))),x99473))+~P144(f822(f822(f318(f891(x99471,x99471)),f822(f822(f243(x99471,x99471),x99472),x99475)),f822(f822(f175(f891(x99471,x99471),a882),f822(a107,x99474)),x99473)))
% 218.59/218.72 [9964]~P144(f822(f822(f318(f891(f887(x99641),f887(x99641))),f822(f822(f243(f887(x99641),f887(x99641)),f822(f822(f143(x99641),x99642),x99645)),x99644)),f150(x99641,x99643)))+P144(f822(f822(f318(f891(x99641,x99641)),f822(f822(f243(x99641,x99641),x99642),f671(x99643,x99644,x99645,x99642,x99641))),x99643))
% 218.59/218.72 [6372]P144(f822(x63722,x63724))+E(f169(x63721,x63722,f822(f822(f126(x63721),x63723),f822(f822(f143(x63721),x63724),x63725))),f169(x63721,x63722,x63723))
% 218.59/218.72 [6422]~P77(x64222)+E(f822(f822(f822(f3(f892(x64221,x64222)),x64223),x64224),x64225),f822(f822(f3(x64222),f822(x64223,x64225)),f822(x64224,x64225)))
% 218.59/218.72 [6424]~P100(x64242)+E(f822(f822(f822(f96(f892(x64241,x64242)),x64243),x64244),x64245),f822(f822(f96(x64242),f822(x64243,x64245)),f822(x64244,x64245)))
% 218.59/218.72 [6426]~P100(x64262)+E(f822(f822(f822(f97(f892(x64261,x64262)),x64263),x64264),x64265),f822(f822(f97(x64262),f822(x64263,x64265)),f822(x64264,x64265)))
% 218.59/218.72 [6449]E(x64491,x64492)+E(f822(f822(f156(x64493),f822(f822(f151(x64493,x64494),x64491),x64495)),x64492),f822(f822(f156(x64493),x64494),x64492))
% 218.59/218.72 [6729]~E(x67294,f182(f892(x67293,a882)))+E(f822(f822(f3(f892(x67291,a882)),x67292),f822(f822(f38(x67293,f892(x67291,a882)),x67294),x67295)),x67292)
% 218.59/218.72 [6730]~E(x67304,f182(f892(x67303,a882)))+E(f822(f822(f96(f892(x67301,a882)),x67302),f822(f822(f38(x67303,f892(x67301,a882)),x67304),x67305)),x67302)
% 218.59/218.72 [6731]~E(x67314,f182(f892(x67313,a882)))+E(f822(f822(f97(f892(x67311,a882)),x67312),f822(f822(f39(x67313,f892(x67311,a882)),x67314),x67315)),x67312)
% 218.59/218.72 [6746]~E(x67464,f182(f892(x67463,a882)))+E(f822(f822(f298(x67461),x67462),f822(f822(f38(x67463,f892(x67461,a882)),x67464),x67465)),f822(f822(f298(x67461),x67462),f182(f892(x67461,a882))))
% 218.59/218.72 [7574]E(f822(f822(f156(x75741),f822(f822(f146(x75742,x75741),x75743),x75744)),x75745),f822(x75743,f822(f822(f156(x75742),x75744),x75745)))+~P144(f822(f822(f227(a885),x75745),f822(f183(f887(x75742)),x75744)))
% 218.59/218.72 [7639]E(f822(f822(f96(f892(x76391,a882)),f822(x76392,x76393)),f822(f822(f38(x76394,f892(x76391,a882)),x76395),x76392)),f822(f822(f38(x76394,f892(x76391,a882)),x76395),x76392))+~P144(f822(f822(f318(x76394),x76393),x76395))
% 218.59/218.72 [7640]E(f822(f822(f97(f892(x76401,a882)),f822(x76402,x76403)),f822(f822(f39(x76404,f892(x76401,a882)),x76405),x76402)),f822(f822(f39(x76404,f892(x76401,a882)),x76405),x76402))+~P144(f822(f822(f318(x76404),x76403),x76405))
% 218.59/218.72 [8253]~E(x82533,f182(f892(x82531,a882)))+E(f822(f822(f38(x82531,f892(x82532,a882)),x82533),f822(f822(f10(f892(x82532,a882),f892(x82532,a882),x82531),f822(f298(x82532),x82534)),x82535)),f182(f892(x82532,a882)))
% 218.59/218.72 [8258]~P144(f822(f822(f318(x82584),x82583),x82585))+P144(f822(f822(f226(f892(x82581,a882)),f822(x82582,x82583)),f822(f822(f38(x82584,f892(x82581,a882)),x82585),x82582)))
% 218.59/218.72 [8383]~E(f822(x83834,x83832),x83835)+P144(f822(f822(f318(x83831),x83832),f822(f300(x83831,x83833,x83834),f822(f822(f298(x83833),x83835),f182(f892(x83833,a882))))))
% 218.59/218.72 [8428]~P56(x84281,x84282,f822(f275(x84282,x84281),x84283))+E(f822(f822(f97(f892(x84281,a882)),f822(f274(x84282,x84281,x84283),x84284)),f822(f274(x84282,x84281,x84283),x84285)),f822(f274(x84282,x84281,x84283),f822(f822(f97(f892(x84282,a882)),x84284),x84285)))
% 218.59/218.72 [8501]E(x85011,f2(a94))+E(f822(f113(x85012,x85013,f822(x85014,f822(f822(f3(a94),x85011),f77(a94)))),f822(f822(f9(x85012,a94,f886(x85013)),x85015),x85011)),f822(f192(x85012,x85013,x85014,x85015),x85011))
% 218.59/218.72 [8539]E(x85391,f182(f892(x85392,a882)))+E(f822(f822(f38(x85392,f892(x85393,a882)),x85391),f822(f822(f10(f892(x85393,a882),f892(x85393,a882),x85392),f822(f298(x85393),x85394)),x85395)),f822(f822(f298(x85393),x85394),f822(f822(f38(x85392,f892(x85393,a882)),x85391),x85395)))
% 218.59/218.72 [8590]~P26(x85902,x85901,x85903,f233(f892(x85902,a882)))+E(f822(f822(f3(f892(x85901,a882)),f822(f299(x85902,x85901,x85903),x85904)),f822(f299(x85902,x85901,x85903),x85905)),f822(f299(x85902,x85901,x85903),f822(f822(f3(f892(x85902,a882)),x85904),x85905)))
% 218.59/218.72 [8591]~P26(x85912,x85911,x85913,f233(f892(x85912,a882)))+E(f822(f822(f97(f892(x85911,a882)),f822(f299(x85912,x85911,x85913),x85914)),f822(f299(x85912,x85911,x85913),x85915)),f822(f299(x85912,x85911,x85913),f822(f822(f97(f892(x85912,a882)),x85914),x85915)))
% 218.59/218.72 [8657]~P144(f822(f822(f66(x86571,x86572,x86575),x86573),x86574))+P144(f822(f822(f318(f891(x86571,x86572)),f822(f822(f243(x86571,x86572),x86573),x86574)),x86575))
% 218.59/218.72 [8687]P144(f822(f822(f318(x86871),x86872),f822(f273(x86873,x86871),x86874)))+~P144(f822(f822(f318(f891(x86873,x86871)),f822(f822(f243(x86873,x86871),x86875),x86872)),x86874))
% 218.59/218.72 [8689]P144(f822(f822(f318(x86891),x86892),f822(f255(x86891,x86893),x86894)))+~P144(f822(f822(f318(f891(x86891,x86893)),f822(f822(f243(x86891,x86893),x86892),x86895)),x86894))
% 218.59/218.72 [8818]P144(f822(f822(f66(x88181,x88182,x88183),x88184),x88185))+~P144(f822(f822(f318(f891(x88181,x88182)),f822(f822(f243(x88181,x88182),x88184),x88185)),x88183))
% 218.59/218.72 [8856]E(f822(x88561,x88562),x88563)+~P144(f822(f822(f318(x88564),x88562),f822(f300(x88564,x88565,x88561),f822(f822(f298(x88565),x88563),f182(f892(x88565,a882))))))
% 218.59/218.72 [9077]P144(f822(f822(f318(f891(x90771,x90772)),f822(f822(f243(x90771,x90772),x90773),x90774)),f822(f275(x90772,x90771),x90775)))+~P144(f822(f822(f318(f891(x90772,x90771)),f822(f822(f243(x90772,x90771),x90774),x90773)),x90775))
% 218.59/218.72 [9095]~P144(f822(f822(x90951,x90955),x90954))+P144(f822(f822(x90951,f822(f247(x90952,x90953),f822(f822(f243(x90952,x90953),x90954),x90955))),f822(f242(x90952,x90953),f822(f822(f243(x90952,x90953),x90954),x90955))))
% 218.59/218.72 [9124]~P144(f822(f822(f318(f891(x91242,x91241)),f822(f822(f243(x91242,x91241),x91244),x91243)),f822(f275(x91241,x91242),x91245)))+P144(f822(f822(f318(f891(x91241,x91242)),f822(f822(f243(x91241,x91242),x91243),x91244)),x91245))
% 218.59/218.72 [9156]~P144(f822(f822(f318(f891(x91563,x91561)),f822(f822(f243(x91563,x91561),x91565),x91562)),x91564))+P144(f822(f822(f318(x91561),x91562),f822(f274(x91563,x91561,x91564),f822(f822(f298(x91563),x91565),f182(f892(x91563,a882))))))
% 218.59/218.72 [9213]P144(f822(f822(f318(f891(x92131,x92132)),f822(f822(f243(x92131,x92132),x92133),x92134)),x92135))+~P144(f822(f822(f318(x92132),x92134),f822(f274(x92131,x92132,x92135),f822(f822(f298(x92131),x92133),f182(f892(x92131,a882))))))
% 218.59/218.72 [9300]~P72(x93001)+E(f822(f822(f8(a885,x93001),x93002),f292(a885,f822(f822(f79(a885),x93003),x93004),f822(f822(f79(a885),x93005),x93004))),f822(f822(f8(a885,x93001),f822(f822(f10(a885,x93001,a885),x93002),f822(f822(f9(a885,a885,a885),f79(a885)),x93004))),f292(a885,x93003,x93005)))
% 218.59/218.72 [9319]~P72(x93191)+E(f822(f822(f8(a885,x93191),x93192),f822(f291(a885,f822(f822(f79(a885),x93193),x93194)),f822(f822(f79(a885),x93195),x93194))),f822(f822(f8(a885,x93191),f822(f822(f10(a885,x93191,a885),x93192),f822(f822(f9(a885,a885,a885),f79(a885)),x93194))),f822(f291(a885,x93193),x93195)))
% 218.59/218.72 [9373]~P26(x93731,x93732,x93733,f233(f892(x93731,a882)))+E(f822(f822(f146(x93731,x93732),x93733),f822(f128(x93731,f822(f822(f10(a882,a882,x93731),a311),f822(a314,x93734))),x93735)),f822(f128(x93732,f822(f822(f10(a882,a882,x93732),a311),f822(a314,f822(x93733,x93734)))),f822(f822(f146(x93731,x93732),x93733),x93735)))
% 218.59/218.72 [9392]~P26(x93921,x93922,x93923,f822(f822(f298(x93921),x93924),f822(f164(x93921),x93925)))+E(f822(f822(f146(x93921,x93922),x93923),f822(f128(x93921,f822(f822(f10(a882,a882,x93921),a311),f822(a314,x93924))),x93925)),f822(f128(x93922,f822(f822(f10(a882,a882,x93922),a311),f822(a314,f822(x93923,x93924)))),f822(f822(f146(x93921,x93922),x93923),x93925)))
% 218.59/218.72 [9557]P144(f822(f822(f318(f891(f887(x95571),f887(x95571))),f822(f822(f243(f887(x95571),f887(x95571)),f822(f822(f143(x95571),x95572),x95573)),f822(f822(f143(x95571),x95574),x95573))),f149(x95571,x95575)))+~P144(f822(f822(f318(f891(x95571,x95571)),f822(f822(f243(x95571,x95571),x95572),x95574)),x95575))
% 218.59/218.72 [9670]E(f822(f822(f298(x96701),f492(x96702,x96703,x96704,x96705,x96701)),f493(x96702,x96703,x96704,x96705,x96701)),f822(f822(f298(x96701),x96704),x96703))+~P144(f822(f61(x96701,x96705,f822(f822(f298(x96701),x96704),x96703)),x96702))
% 218.59/218.72 [9671]E(f822(f822(f298(x96711),f494(x96712,x96713,x96714,x96715,x96711)),f495(x96712,x96713,x96714,x96715,x96711)),f822(f822(f298(x96711),x96714),x96713))+~P144(f822(f61(x96711,x96715,f822(f822(f298(x96711),x96714),x96713)),x96712))
% 218.59/218.72 [9755]P144(f822(f822(f318(x97551),f598(x97552,x97553,x97554,x97555,x97551)),x97554))+P144(f822(f822(f822(f39(x97551,f892(x97555,a882)),x97554),x97553),x97552))
% 218.59/218.72 [9760]P144(f822(f822(f318(x97601),f594(x97602,x97603,x97601,x97604,x97605)),x97603))+P144(f822(f822(f318(x97605),x97604),f822(f822(f39(x97601,f892(x97605,a882)),x97603),x97602)))
% 218.59/218.72 [9768]P144(f822(f822(f318(x97681),f599(x97682,x97683,x97681,x97684,x97685)),x97683))+P144(f822(f822(f226(f892(x97685,a882)),x97684),f822(f822(f39(x97681,f892(x97685,a882)),x97683),x97682)))
% 218.59/218.72 [9770]P144(f822(f822(x97701,f352(x97702,x97701,x97703,x97704,x97705)),x97702))+~P144(f822(f822(f822(f38(x97705,f892(x97704,a882)),x97703),x97701),x97702))
% 218.59/218.72 [9773]P144(f822(f822(f318(x97731),f352(x97732,x97733,x97734,x97735,x97731)),x97734))+~P144(f822(f822(f822(f38(x97731,f892(x97735,a882)),x97734),x97733),x97732))
% 218.59/218.72 [9774]P54(x97744,f822(f822(f39(x97741,f892(x97744,a882)),x97745),x97743),f822(f822(f39(x97741,f892(f891(x97744,x97744),a882)),x97745),x97742))+P144(f822(f822(f318(x97741),f789(x97742,x97743,x97744,x97745,x97741)),x97745))
% 218.59/218.72 [9784]P144(f822(f822(f318(x97841),f383(x97842,x97843,x97841,x97844,x97845)),x97843))+~P144(f822(f822(f318(x97845),x97844),f822(f822(f38(x97841,f892(x97845,a882)),x97843),x97842)))
% 218.59/218.72 [9789]P144(f822(f822(f318(x97891),x97892),f822(x97893,f383(x97893,x97894,x97895,x97892,x97891))))+~P144(f822(f822(f318(x97891),x97892),f822(f822(f38(x97895,f892(x97891,a882)),x97894),x97893)))
% 218.59/218.72 [9880]~P144(f822(f822(x98804,f598(x98805,x98804,x98803,x98802,x98801)),x98805))+P144(f822(f822(f822(f39(x98801,f892(x98802,a882)),x98803),x98804),x98805))
% 218.59/218.72 [9883]~P144(f822(f822(f318(x98831),x98832),f822(x98835,f594(x98835,x98834,x98833,x98832,x98831))))+P144(f822(f822(f318(x98831),x98832),f822(f822(f39(x98833,f892(x98831,a882)),x98834),x98835)))
% 218.59/218.72 [9887]~P54(x98871,f822(x98874,f789(x98875,x98874,x98871,x98873,x98872)),f822(x98875,f789(x98875,x98874,x98871,x98873,x98872)))+P54(x98871,f822(f822(f39(x98872,f892(x98871,a882)),x98873),x98874),f822(f822(f39(x98872,f892(f891(x98871,x98871),a882)),x98873),x98875))
% 218.59/218.72 [9888]~P144(f822(f822(f226(f892(x98881,a882)),x98882),f822(x98885,f599(x98885,x98884,x98883,x98882,x98881))))+P144(f822(f822(f226(f892(x98881,a882)),x98882),f822(f822(f39(x98883,f892(x98881,a882)),x98884),x98885)))
% 218.59/218.72 [9950]~P144(f822(f822(f318(x99501),f492(x99505,x99504,x99503,x99502,x99501)),f493(x99505,x99504,x99503,x99502,x99501)))+~P144(f822(f61(x99501,x99502,f822(f822(f298(x99501),x99503),x99504)),x99505))
% 218.59/218.72 [9951]~P144(f822(f822(f318(x99511),f494(x99515,x99514,x99513,x99512,x99511)),f495(x99515,x99514,x99513,x99512,x99511)))+~P144(f822(f61(x99511,x99512,f822(f822(f298(x99511),x99513),x99514)),x99515))
% 218.59/218.72 [9952]~P144(f822(f822(f318(f891(x99521,x99521)),f822(f822(f243(x99521,x99521),x99522),x99525)),f822(f822(f175(f891(x99521,x99521),a882),f822(a107,x99524)),x99523)))+P144(f822(f822(f318(f891(x99521,x99521)),f822(f822(f243(x99521,x99521),x99522),f644(x99523,x99524,x99525,x99522,x99521))),f822(f822(f175(f891(x99521,x99521),a882),x99524),x99523)))
% 218.59/218.72 [9958]P144(f822(f65(x99581,x99581,x99582,f492(x99583,x99584,x99585,x99582,x99581),f493(x99583,x99584,x99585,x99582,x99581)),x99583))+~P144(f822(f61(x99581,x99582,f822(f822(f298(x99581),x99585),x99584)),x99583))
% 218.59/218.72 [9959]P144(f822(f65(x99591,x99591,x99592,f494(x99593,x99594,x99595,x99592,x99591),f495(x99593,x99594,x99595,x99592,x99591)),x99593))+~P144(f822(f61(x99591,x99592,f822(f822(f298(x99591),x99595),x99594)),x99593))
% 218.59/218.72 [9969]~P92(x99691)+P15(x99691,f822(f822(f146(x99692,x99691),x99693),f822(f128(x99692,f822(f822(f9(x99692,x99691,a882),f822(f822(f10(x99691,f892(x99691,a882),x99692),a314),x99693)),f822(x99694,x99695))),x99695)))
% 218.59/218.72 [10022]~P144(f822(f822(f318(x100222),x100225),f822(f274(x100221,x100222,x100224),x100223)))+P144(f822(f822(f318(f891(x100221,x100222)),f822(f822(f243(x100221,x100222),f450(x100223,x100224,x100221,x100225,x100222)),x100225)),x100224))
% 218.59/218.72 [10023]~P144(f822(f822(f318(x100232),x100235),f822(f274(x100231,x100232,x100234),x100233)))+P144(f822(f822(f318(f891(x100231,x100232)),f822(f822(f243(x100231,x100232),f459(x100233,x100234,x100231,x100235,x100232)),x100235)),x100234))
% 218.59/218.72 [10043]~P144(f822(f822(f318(f891(x100431,x100431)),f822(f822(f243(x100431,x100431),x100435),x100434)),f822(f822(f175(f891(x100431,x100431),a882),f822(a107,x100433)),x100432)))+P144(f822(f822(f318(f891(x100431,x100431)),f822(f822(f243(x100431,x100431),f644(x100432,x100433,x100434,x100435,x100431)),x100434)),x100432))
% 218.59/218.72 [10046]~P144(f822(f822(f318(f891(x100461,x100461)),f822(f822(f243(x100461,x100461),x100465),x100464)),f822(f822(f175(f891(x100461,x100461),a882),f822(a107,x100463)),x100462)))+P144(f822(f822(f318(f891(x100461,x100461)),f822(f822(f243(x100461,x100461),f642(x100462,x100463,x100464,x100465,x100461)),x100464)),f822(f822(f175(f891(x100461,x100461),a882),x100463),x100462)))
% 218.59/218.72 [10047]~P144(f822(f822(f318(f891(x100471,x100471)),f822(f822(f243(x100471,x100471),x100475),x100474)),f822(f822(f175(f891(x100471,x100471),a882),f822(a107,x100473)),x100472)))+P144(f822(f822(f318(f891(x100471,x100471)),f822(f822(f243(x100471,x100471),f643(x100472,x100473,x100474,x100475,x100471)),x100474)),f822(f822(f175(f891(x100471,x100471),a882),x100473),x100472)))
% 218.59/218.72 [10048]~P144(f822(f822(f318(f891(f887(x100481),f887(x100481))),f822(f822(f243(f887(x100481),f887(x100481)),x100485),f822(f822(f143(x100481),x100484),x100483))),f150(x100481,x100482)))+P144(f822(f822(f318(f891(x100481,x100481)),f822(f822(f243(x100481,x100481),f669(x100482,x100483,x100484,x100485,x100481)),x100484)),x100482))
% 218.59/218.72 [7660]~E(x76603,f182(f892(x76602,a882)))+E(f822(f822(f96(f892(x76601,a882)),f822(f822(f38(x76602,f892(x76601,a882)),x76603),x76604)),x76605),x76605)
% 218.59/218.72 [7661]~E(x76613,f182(f892(x76612,a882)))+E(f822(f822(f97(f892(x76611,a882)),f822(f822(f39(x76612,f892(x76611,a882)),x76613),x76614)),x76615),x76615)
% 218.59/218.72 [8095]~E(x80953,f182(f892(x80952,a882)))+E(f822(f822(f3(f892(x80951,a882)),f822(f822(f39(x80952,f892(x80951,a882)),x80953),x80954)),x80955),f822(f822(f3(f892(x80951,a882)),f233(f892(x80951,a882))),x80955))
% 218.59/218.72 [8228]E(f822(f822(f151(x82281,f822(f822(f126(x82281),x82282),x82283)),x82284),x82285),f822(f822(f126(x82281),f822(f822(f151(x82281,x82282),x82284),x82285)),x82283))+~P144(f822(f822(f227(a885),x82284),f822(f183(f887(x82281)),x82282)))
% 218.59/218.72 [8491]E(f822(f822(f156(x84911),f822(f822(f146(a885,x84911),x84912),f131(a885,f822(f291(a885,x84913),x84914)))),x84915),f822(x84912,f822(f822(f79(a885),x84913),x84915)))+~P144(f822(f822(f227(a885),x84915),f822(f822(f3(a885),x84914),x84913)))
% 218.59/218.72 [8505]E(x85051,f2(a94))+E(f116(x85052,x85053,f822(x85054,f822(f822(f3(a94),x85051),f77(a94))),f822(f822(f9(x85052,a94,f886(f889(x85053))),x85055),x85051)),f822(f190(x85052,x85053,x85054,x85055),x85051))
% 218.59/218.72 [8529]~E(x85293,f182(f892(x85291,a882)))+E(f822(f822(f38(x85291,f892(x85292,a882)),x85293),f822(f822(f10(f892(x85292,a882),f892(x85292,a882),x85291),f822(f96(f892(x85292,a882)),x85294)),x85295)),f182(f892(x85292,a882)))
% 218.59/218.72 [8530]~E(x85303,f182(f892(x85301,a882)))+E(f822(f822(f39(x85301,f892(x85302,a882)),x85303),f822(f822(f10(f892(x85302,a882),f892(x85302,a882),x85301),f822(f3(f892(x85302,a882)),x85304)),x85305)),f233(f892(x85302,a882)))
% 218.59/218.72 [8531]~E(x85313,f182(f892(x85311,a882)))+E(f822(f822(f39(x85311,f892(x85312,a882)),x85313),f822(f822(f10(f892(x85312,a882),f892(x85312,a882),x85311),f822(f97(f892(x85312,a882)),x85314)),x85315)),f233(f892(x85312,a882)))
% 218.59/218.72 [8533]~P143(x85332)+E(f822(f822(f8(x85331,x85332),f822(f822(f10(x85332,x85332,x85331),f822(f80(x85332),x85333)),x85334)),x85335),f822(f822(f80(x85332),x85333),f822(f822(f8(x85331,x85332),x85334),x85335)))
% 218.59/218.72 [8804]E(x88041,f182(f892(x88042,a882)))+E(f822(f822(f38(x88042,f892(x88043,a882)),x88041),f822(f822(f10(f892(x88043,a882),f892(x88043,a882),x88042),f822(f96(f892(x88043,a882)),x88044)),x88045)),f822(f822(f96(f892(x88043,a882)),x88044),f822(f822(f38(x88042,f892(x88043,a882)),x88041),x88045)))
% 218.59/218.72 [8805]E(x88051,f182(f892(x88052,a882)))+E(f822(f822(f39(x88052,f892(x88053,a882)),x88051),f822(f822(f10(f892(x88053,a882),f892(x88053,a882),x88052),f822(f3(f892(x88053,a882)),x88054)),x88055)),f822(f822(f3(f892(x88053,a882)),x88054),f822(f822(f38(x88052,f892(x88053,a882)),x88051),x88055)))
% 218.59/218.72 [8806]E(x88061,f182(f892(x88062,a882)))+E(f822(f822(f39(x88062,f892(x88063,a882)),x88061),f822(f822(f10(f892(x88063,a882),f892(x88063,a882),x88062),f822(f97(f892(x88063,a882)),x88064)),x88065)),f822(f822(f97(f892(x88063,a882)),x88064),f822(f822(f39(x88062,f892(x88063,a882)),x88061),x88065)))
% 218.59/218.72 [8996]~P144(f822(f822(f227(a885),f822(x89964,x89962)),f822(x89964,x89963)))+P144(f822(f822(f318(f891(x89961,x89961)),f822(f822(f243(x89961,x89961),x89962),x89963)),f145(x89961,f822(f822(f143(f892(x89961,a885)),x89964),x89965))))
% 218.59/218.72 [9268]~P26(x92682,x92681,x92683,f822(f822(f96(f892(x92682,a882)),x92684),x92685))+E(f822(f822(f97(f892(x92681,a882)),f822(f299(x92682,x92681,x92683),f822(f822(f3(f892(x92682,a882)),x92684),x92685))),f822(f299(x92682,x92681,x92683),f822(f822(f3(f892(x92682,a882)),x92685),x92684))),f182(f892(x92681,a882)))
% 218.59/218.72 [9553]~P144(f822(f822(f226(f892(x95533,a882)),f822(f274(x95531,x95533,x95534),x95532)),x95535))+P144(f822(f822(f226(f892(x95531,a882)),x95532),f822(f78(f892(x95531,a882)),f822(f274(x95533,x95531,f822(f275(x95531,x95533),x95534)),f822(f78(f892(x95533,a882)),x95535)))))
% 218.59/218.72 [9575]~P26(x95751,x95752,x95753,f822(f822(f298(x95751),x95754),x95755))+~P144(f822(f822(f318(x95752),f822(x95753,x95754)),f822(f299(x95751,x95752,x95753),f822(f822(f3(f892(x95751,a882)),x95755),f822(f822(f298(x95751),x95754),f182(f892(x95751,a882)))))))
% 218.59/218.72 [9625]P144(f822(f822(f226(f892(x96251,a882)),f822(f274(x96252,x96251,x96253),x96254)),x96255))+~P144(f822(f822(f226(f892(x96252,a882)),x96254),f822(f78(f892(x96252,a882)),f822(f274(x96251,x96252,f822(f275(x96252,x96251),x96253)),f822(f78(f892(x96251,a882)),x96255)))))
% 218.59/218.72 [9698]~P84(x96981)+P144(f822(f822(f226(x96981),f822(f75(x96981),f822(f822(f3(x96981),f822(f822(f79(x96981),x96982),x96983)),f822(f822(f79(x96981),x96984),x96985)))),f822(f822(f79(x96981),f822(f75(x96981),f822(f822(f3(x96981),x96982),x96984))),f822(f75(x96981),f822(f822(f3(x96981),x96983),x96985)))))
% 218.59/218.72 [9806]P144(f822(f822(f318(x98061),f362(x98062,x98063,x98064,x98061,x98065)),x98064))+P144(f822(f822(f226(f892(x98065,a882)),f822(f822(f38(x98061,f892(x98065,a882)),x98064),x98063)),x98062))
% 218.59/218.72 [9987]~P144(f822(f822(f226(f892(x99871,a882)),f822(x99874,f362(x99875,x99874,x99873,x99872,x99871))),x99875))+P144(f822(f822(f226(f892(x99871,a882)),f822(f822(f38(x99872,f892(x99871,a882)),x99873),x99874)),x99875))
% 218.59/218.72 [8638]E(f822(f822(f126(x86381),x86382),f822(f822(f151(x86381,x86383),f822(f822(f3(a885),x86384),f822(f183(f887(x86381)),x86382))),x86385)),f822(f822(f151(x86381,f822(f822(f126(x86381),x86382),x86383)),x86384),x86385))+P144(f822(f822(f227(a885),x86384),f822(f183(f887(x86381)),x86382)))
% 218.59/218.72 [8664]~P142(x86641)+E(f822(f822(f79(x86641),f822(f822(f80(x86641),x86642),x86643)),f822(f822(f79(x86641),f822(f822(f80(x86641),x86644),x86643)),x86645)),f822(f822(f79(x86641),f822(f822(f80(x86641),f822(f822(f79(x86641),x86642),x86644)),x86643)),x86645))
% 218.59/218.72 [9222]~P143(x92221)+E(f822(f157(x92221),f822(f822(f146(x92222,x92221),f822(f822(f10(x92221,x92221,x92222),f822(f80(x92221),x92223)),x92224)),x92225)),f822(f822(f80(x92221),x92223),f822(f157(x92221),f822(f822(f146(x92222,x92221),x92224),x92225))))
% 218.59/218.72 [9391]E(f822(f183(f887(x93911)),f822(f822(f167(x93911),f822(f822(f230(a885),f822(f183(f887(x93911)),x93912)),f822(f183(f887(x93913)),x93914))),x93912)),f822(f183(f887(x93913)),f822(f822(f167(x93913),f822(f822(f230(a885),f822(f183(f887(x93911)),x93912)),f822(f183(f887(x93913)),x93914))),x93914)))+P144(f822(x93915,f822(f822(f173(x93911,x93913),x93912),x93914)))
% 218.59/218.72 [9635]~P143(x96352)+E(f822(f822(f8(x96351,x96352),f822(f822(f9(x96351,x96352,x96352),f822(f822(f10(x96352,f892(x96352,x96352),x96351),f80(x96352)),x96353)),x96354)),x96355),f822(f822(f80(x96352),f822(f822(f8(x96351,x96352),x96353),x96355)),x96354))
% 218.59/218.72 [9636]~P65(x96362)+E(f822(f822(f8(x96361,x96362),f822(f822(f9(x96361,x96362,x96362),f822(f822(f10(x96362,f892(x96362,x96362),x96361),f280(x96362)),x96363)),x96364)),x96365),f822(f822(f280(x96362),f822(f822(f8(x96361,x96362),x96363),x96365)),x96364))
% 218.59/218.72 [9643]~P72(x96432)+E(f822(f822(f8(x96431,x96432),f822(f822(f20(x96431,x96432,x96432),f822(f822(f10(x96432,f892(x96432,x96432),x96431),f79(x96432)),x96433)),x96434)),x96435),f822(f822(f79(x96432),f822(f822(f8(x96431,x96432),x96433),x96435)),f822(f822(f8(x96431,x96432),x96434),x96435)))
% 218.59/218.72 [9644]~P4(x96442)+E(f822(f822(f8(x96441,x96442),f822(f822(f20(x96441,x96442,x96442),f822(f822(f10(x96442,f892(x96442,x96442),x96441),f3(x96442)),x96443)),x96444)),x96445),f822(f822(f3(x96442),f822(f822(f8(x96441,x96442),x96443),x96445)),f822(f822(f8(x96441,x96442),x96444),x96445)))
% 218.59/218.72 [9645]~P76(x96452)+E(f822(f822(f11(x96451,x96452),f822(f822(f20(x96451,x96452,x96452),f822(f822(f10(x96452,f892(x96452,x96452),x96451),f80(x96452)),x96453)),x96454)),x96455),f822(f822(f80(x96452),f822(f822(f11(x96451,x96452),x96453),x96455)),f822(f822(f11(x96451,x96452),x96454),x96455)))
% 218.59/218.72 [9682]~E(x96823,f182(f892(x96821,a882)))+E(f822(f822(f38(x96821,f892(x96822,a882)),x96823),f822(f822(f9(x96821,f892(x96822,a882),f892(x96822,a882)),f822(f822(f10(f892(x96822,a882),f892(f892(x96822,a882),f892(x96822,a882)),x96821),f96(f892(x96822,a882))),x96824)),x96825)),f182(f892(x96822,a882)))
% 218.59/218.72 [9683]~E(x96833,f182(f892(x96831,a882)))+E(f822(f822(f39(x96831,f892(x96832,a882)),x96833),f822(f822(f9(x96831,f892(x96832,a882),f892(x96832,a882)),f822(f822(f10(f892(x96832,a882),f892(f892(x96832,a882),f892(x96832,a882)),x96831),f3(f892(x96832,a882))),x96834)),x96835)),f233(f892(x96832,a882)))
% 218.59/218.72 [9684]~E(x96843,f182(f892(x96841,a882)))+E(f822(f822(f39(x96841,f892(x96842,a882)),x96843),f822(f822(f9(x96841,f892(x96842,a882),f892(x96842,a882)),f822(f822(f10(f892(x96842,a882),f892(f892(x96842,a882),f892(x96842,a882)),x96841),f97(f892(x96842,a882))),x96844)),x96845)),f233(f892(x96842,a882)))
% 218.59/218.72 [9708]E(x97081,f182(f892(x97082,a882)))+E(f822(f822(f38(x97082,f892(x97083,a882)),x97081),f822(f822(f9(x97082,f892(x97083,a882),f892(x97083,a882)),f822(f822(f10(f892(x97083,a882),f892(f892(x97083,a882),f892(x97083,a882)),x97082),f96(f892(x97083,a882))),x97084)),x97085)),f822(f822(f96(f892(x97083,a882)),f822(f822(f38(x97082,f892(x97083,a882)),x97081),x97084)),x97085))
% 218.59/218.72 [9709]E(x97091,f182(f892(x97092,a882)))+E(f822(f822(f39(x97092,f892(x97093,a882)),x97091),f822(f822(f9(x97092,f892(x97093,a882),f892(x97093,a882)),f822(f822(f10(f892(x97093,a882),f892(f892(x97093,a882),f892(x97093,a882)),x97092),f3(f892(x97093,a882))),x97094)),x97095)),f822(f822(f3(f892(x97093,a882)),f822(f822(f39(x97092,f892(x97093,a882)),x97091),x97094)),x97095))
% 218.59/218.72 [9710]E(x97101,f182(f892(x97102,a882)))+E(f822(f822(f39(x97102,f892(x97103,a882)),x97101),f822(f822(f9(x97102,f892(x97103,a882),f892(x97103,a882)),f822(f822(f10(f892(x97103,a882),f892(f892(x97103,a882),f892(x97103,a882)),x97102),f97(f892(x97103,a882))),x97104)),x97105)),f822(f822(f97(f892(x97103,a882)),f822(f822(f39(x97102,f892(x97103,a882)),x97101),x97104)),x97105))
% 218.59/218.72 [9273]~P144(f822(f822(f226(a885),x92731),x92734))+E(f822(f822(f3(a885),f822(f822(f79(a885),f822(f822(f80(a885),x92731),x92732)),x92733)),f822(f822(f79(a885),f822(f822(f80(a885),x92734),x92732)),x92735)),f822(f822(f3(a885),x92733),f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f3(a885),x92734),x92731)),x92732)),x92735)))
% 218.59/218.72 [9863]~P143(x98631)+E(f822(f157(x98631),f822(f822(f146(x98632,x98631),f822(f822(f9(x98632,x98631,x98631),f822(f822(f10(x98631,f892(x98631,x98631),x98632),f80(x98631)),x98633)),x98634)),x98635)),f822(f822(f80(x98631),f822(f157(x98631),f822(f822(f146(x98632,x98631),x98633),x98635))),x98634))
% 218.59/218.72 [9869]~P72(x98691)+E(f822(f157(x98691),f822(f822(f146(x98692,x98691),f822(f822(f20(x98692,x98691,x98691),f822(f822(f10(x98691,f892(x98691,x98691),x98692),f79(x98691)),x98693)),x98694)),x98695)),f822(f822(f79(x98691),f822(f157(x98691),f822(f822(f146(x98692,x98691),x98693),x98695))),f822(f157(x98691),f822(f822(f146(x98692,x98691),x98694),x98695))))
% 218.59/218.72 [9870]~P4(x98701)+E(f822(f157(x98701),f822(f822(f146(x98702,x98701),f822(f822(f20(x98702,x98701,x98701),f822(f822(f10(x98701,f892(x98701,x98701),x98702),f3(x98701)),x98703)),x98704)),x98705)),f822(f822(f3(x98701),f822(f157(x98701),f822(f822(f146(x98702,x98701),x98703),x98705))),f822(f157(x98701),f822(f822(f146(x98702,x98701),x98704),x98705))))
% 218.59/218.72 [10014]P144(f822(x100141,f822(f822(f173(x100142,x100143),x100144),x100145)))+~P144(f822(x100141,f822(f822(f173(x100142,x100143),f822(f822(f167(x100142),f822(f822(f230(a885),f822(f183(f887(x100142)),x100144)),f822(f183(f887(x100143)),x100145))),x100144)),f822(f822(f167(x100143),f822(f822(f230(a885),f822(f183(f887(x100142)),x100144)),f822(f183(f887(x100143)),x100145))),x100145))))
% 218.59/218.72 [10264]~P144(f822(f822(f318(f891(x102642,x102641)),f822(f822(f243(x102642,x102641),x102644),x102645)),f822(f275(x102641,x102642),x102643)))+P144(f822(f822(f234(x102641,x102642,f822(f822(f9(x102641,f892(f891(x102641,x102642),a882),f892(x102642,a882)),f822(f822(f10(f892(x102642,f892(f892(f891(x102641,x102642),a882),a882)),f892(f892(f891(x102641,x102642),a882),f892(x102642,a882)),x102641),f9(x102642,f892(f891(x102641,x102642),a882),a882)),f822(f822(f10(f892(x102642,f891(x102641,x102642)),f892(x102642,f892(f892(f891(x102641,x102642),a882),a882)),x102641),f822(f10(f891(x102641,x102642),f892(f892(f891(x102641,x102642),a882),a882),x102642),f318(f891(x102641,x102642)))),f243(x102641,x102642)))),x102643)),x102644),x102645))
% 218.59/218.72 [10274]P144(f822(f822(f318(f891(x102741,x102742)),f822(f822(f243(x102741,x102742),x102743),x102744)),f822(f275(x102742,x102741),x102745)))+~P144(f822(f822(f234(x102742,x102741,f822(f822(f9(x102742,f892(f891(x102742,x102741),a882),f892(x102741,a882)),f822(f822(f10(f892(x102741,f892(f892(f891(x102742,x102741),a882),a882)),f892(f892(f891(x102742,x102741),a882),f892(x102741,a882)),x102742),f9(x102741,f892(f891(x102742,x102741),a882),a882)),f822(f822(f10(f892(x102741,f891(x102742,x102741)),f892(x102741,f892(f892(f891(x102742,x102741),a882),a882)),x102742),f822(f10(f891(x102742,x102741),f892(f892(f891(x102742,x102741),a882),a882),x102741),f318(f891(x102742,x102741)))),f243(x102742,x102741)))),x102745)),x102743),x102744))
% 218.59/218.72 [9519]~P144(f822(f822(f226(a885),x95194),x95191))+E(f822(f822(f3(a885),f822(f822(f79(a885),f822(f822(f80(a885),x95191),x95192)),x95193)),f822(f822(f79(a885),f822(f822(f80(a885),x95194),x95192)),x95195)),f822(f822(f3(a885),f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f3(a885),x95191),x95194)),x95192)),x95193)),x95195))
% 218.59/218.72 [5247]E(x52471,x52472)+~E(f27(x52473,x52474,x52471),f27(x52475,x52476,x52472))
% 218.59/218.72 [5248]E(x52481,x52482)+~E(f27(x52483,x52481,x52484),f27(x52485,x52482,x52486))
% 218.59/218.72 [5249]E(x52491,x52492)+~E(f27(x52491,x52493,x52494),f27(x52492,x52495,x52496))
% 218.59/218.72 [5250]E(x52501,x52502)+~E(f26(x52503,x52504,x52501),f26(x52505,x52506,x52502))
% 218.59/218.72 [5251]E(x52511,x52512)+~E(f26(x52513,x52511,x52514),f26(x52515,x52512,x52516))
% 218.59/218.72 [5252]E(x52521,x52522)+~E(f26(x52521,x52523,x52524),f26(x52522,x52525,x52526))
% 218.59/218.72 [7336]E(x73361,x73362)+~E(f214(x73363,x73364,x73365,x73361),f214(x73363,x73364,x73366,x73362))
% 218.59/218.72 [7337]E(x73371,x73372)+~E(f214(x73373,x73374,x73371,x73375),f214(x73373,x73374,x73372,x73376))
% 218.59/218.72 [8475]~P21(x84755,x84751,x84752,x84756)+E(f822(f72(x84751,x84751,x84751,f822(x84752,x84753)),f822(x84752,x84754)),f822(f72(x84751,x84751,x84751,f822(x84752,x84754)),f822(x84752,x84753)))
% 218.59/218.72 [8704]~P58(x87044,x87045,x87042,x87041,x87046)+E(f822(x87041,f822(x87042,x87043)),x87043)
% 218.59/218.72 [8854]P26(x88541,x88542,x88543,x88544)+~P26(x88541,x88545,f822(f72(x88542,x88545,x88541,x88546),x88543),x88544)
% 218.59/218.72 [8923]~E(x89236,x89234)+E(f822(f74(x89231,x89232,x89233,x89234,x89235),x89236),x89235)
% 218.59/218.72 [8929]E(x89291,x89292)+E(f822(f74(x89293,x89294,x89295,x89292,x89296),x89291),f822(x89295,x89291))
% 218.59/218.72 [8941]~P26(x89414,x89412,f822(f72(x89411,x89412,x89414,x89413),x89415),x89416)+P26(x89411,x89412,x89413,f822(f299(x89414,x89411,x89415),x89416))
% 218.59/218.72 [9646]P144(f822(f60(x96461),x96462))+~P144(f822(f65(x96461,x96463,x96464,x96465,x96462),x96466))
% 218.59/218.72 [9654]~P144(f822(f822(f318(x96544),x96543),f289(x96544,x96545,x96541,x96542,x96546)))+P144(f822(f822(x96541,x96542),x96543))
% 218.59/218.72 [9655]~P144(f822(f822(f318(x96554),x96553),f286(x96554,x96551,x96555,x96552,x96556)))+P144(f822(f822(x96551,x96552),x96553))
% 218.59/218.72 [9656]~P144(f822(f822(f318(x96564),x96562),f289(x96564,x96561,x96565,x96566,x96563)))+P144(f822(f822(x96561,x96562),x96563))
% 218.59/218.72 [9657]~P144(f822(f822(f318(x96574),x96572),f286(x96574,x96575,x96571,x96576,x96573)))+P144(f822(f822(x96571,x96572),x96573))
% 218.59/218.72 [5764]E(x57641,x57642)+~E(f822(f822(f243(x57643,x57644),x57645),x57641),f822(f822(f243(x57643,x57644),x57646),x57642))
% 218.59/218.72 [5766]E(x57661,x57662)+~E(f822(f822(f243(x57663,x57664),x57661),x57665),f822(f822(f243(x57663,x57664),x57662),x57666))
% 218.59/218.72 [5910]~P18(x59105,x59106,x59101)+E(f822(f822(x59101,x59102),f822(f822(x59101,x59103),x59104)),f822(f822(x59101,x59103),f822(f822(x59101,x59102),x59104)))
% 218.59/218.72 [7409]~P31(x74094,x74091,f822(f822(f143(x74094),x74092),x74095),f822(f822(f143(x74094),x74093),x74096))+P144(f822(f822(x74091,x74092),x74093))
% 218.59/218.72 [7778]P31(x77781,x77782,x77783,x77784)+~P31(x77781,x77782,f822(f822(f143(x77781),x77785),x77783),f822(f822(f143(x77781),x77786),x77784))
% 218.59/218.72 [8795]~P58(x87955,x87951,x87952,x87956,x87954)+P144(f822(f822(f318(x87951),f822(x87952,x87953)),x87954))
% 218.59/218.72 [8988]~E(x89883,f822(f822(f143(x89881),x89885),x89886))+P144(f822(f822(f318(f891(f887(x89881),f887(x89881))),f822(f822(f243(f887(x89881),f887(x89881)),x89882),f822(f822(f126(x89881),x89882),x89883))),f139(x89881,x89884)))
% 218.59/218.72 [9228]~P33(x92281,x92282,x92283,x92285,x92286)+P33(x92281,x92282,x92283,f822(f822(f167(x92281),x92284),x92285),f822(f822(f167(x92282),x92284),x92286))
% 218.59/218.72 [9229]~P33(x92291,x92292,x92293,x92295,x92296)+P33(x92291,x92292,x92293,f822(f822(f130(x92291),x92294),x92295),f822(f822(f130(x92292),x92294),x92296))
% 218.59/218.72 [9481]E(f822(f299(x94811,x94812,f74(x94811,x94812,x94813,x94814,x94815)),x94816),f822(f299(x94811,x94812,x94813),x94816))+P144(f822(f822(f318(x94811),x94814),x94816))
% 218.59/218.72 [9484]E(f822(f822(f146(x94841,x94842),f74(x94841,x94842,x94843,x94844,x94845)),x94846),f822(f822(f146(x94841,x94842),x94843),x94846))+P144(f822(f822(f318(x94841),x94844),f822(f164(x94841),x94846)))
% 218.59/218.72 [9720]~P25(x97204,x97202,x97205,x97203,x97206,x97201)+E(f822(x97201,f182(f892(x97202,a882))),x97203)
% 218.59/218.72 [9953]~E(f822(x99534,f822(f242(x99531,x99533),x99535)),f822(x99536,f822(f242(x99531,x99533),x99535)))+E(f822(f249(x99531,x99532,x99533,x99533,x99534,f31(x99533)),x99535),f822(f249(x99531,x99532,x99533,x99533,x99536,f31(x99533)),x99535))
% 218.59/218.72 [9954]~E(f822(x99544,f822(f247(x99541,x99542),x99545)),f822(x99546,f822(f247(x99541,x99542),x99545)))+E(f822(f249(x99541,x99541,x99542,x99543,f31(x99541),x99544),x99545),f822(f249(x99541,x99541,x99542,x99543,f31(x99541),x99546),x99545))
% 218.59/218.72 [10010]~E(f822(f249(x100102,x100106,x100103,x100103,x100101,f31(x100103)),x100104),f822(f249(x100102,x100106,x100103,x100103,x100105,f31(x100103)),x100104))+E(f822(x100101,f822(f242(x100102,x100103),x100104)),f822(x100105,f822(f242(x100102,x100103),x100104)))
% 218.59/218.72 [10011]~E(f822(f249(x100112,x100112,x100113,x100116,f31(x100112),x100111),x100114),f822(f249(x100112,x100112,x100113,x100116,f31(x100112),x100115),x100114))+E(f822(x100111,f822(f247(x100112,x100113),x100114)),f822(x100115,f822(f247(x100112,x100113),x100114)))
% 218.59/218.72 [8892]P144(f822(f822(f318(x88921),x88922),x88923))+~P144(f822(f822(f318(f891(x88921,x88924)),f822(f822(f243(x88921,x88924),x88922),x88925)),f822(f822(f245(x88921,x88924),x88923),x88926)))
% 218.59/218.72 [8906]P144(f822(f822(f318(x89061),x89062),f822(x89063,x89064)))+~P144(f822(f822(f318(f891(x89065,x89061)),f822(f822(f243(x89065,x89061),x89064),x89062)),f822(f822(f245(x89065,x89061),x89066),x89063)))
% 218.59/218.72 [9343]P144(f822(f822(f318(f891(x93431,x93431)),f822(f822(f243(x93431,x93431),f822(x93432,x93433)),f822(x93432,x93434))),x93435))+~P144(f822(f822(f318(f891(x93436,x93436)),f822(f822(f243(x93436,x93436),x93433),x93434)),f822(f822(f277(x93431,x93436),x93435),x93432)))
% 218.59/218.72 [9361]~P144(f822(f822(f318(f891(x93614,x93614)),f822(f822(f243(x93614,x93614),f822(x93616,x93612)),f822(x93616,x93613))),x93615))+P144(f822(f822(f318(f891(x93611,x93611)),f822(f822(f243(x93611,x93611),x93612),x93613)),f822(f822(f277(x93614,x93611),x93615),x93616)))
% 218.59/218.72 [10013]E(f822(f822(f243(x100131,x100132),f660(x100133,x100134,x100135,x100136,x100132,x100131)),f661(x100133,x100134,x100135,x100136,x100132,x100131)),x100136)+~P144(f822(f822(f318(f891(x100131,x100132)),x100136),f822(f822(f278(x100131,x100135,x100132),x100134),x100133)))
% 218.59/218.72 [10224]~P144(f822(f822(f318(f891(x102241,x102246)),x102245),f822(f822(f278(x102241,x102242,x102246),x102244),x102243)))+P144(f822(f822(f318(f891(x102241,x102242)),f822(f822(f243(x102241,x102242),f660(x102243,x102244,x102242,x102245,x102246,x102241)),f662(x102243,x102244,x102242,x102245,x102246,x102241))),x102244))
% 218.59/218.72 [10225]~P144(f822(f822(f318(f891(x102256,x102252)),x102255),f822(f822(f278(x102256,x102251,x102252),x102254),x102253)))+P144(f822(f822(f318(f891(x102251,x102252)),f822(f822(f243(x102251,x102252),f662(x102253,x102254,x102251,x102255,x102252,x102256)),f661(x102253,x102254,x102251,x102255,x102252,x102256))),x102253))
% 218.59/218.72 [7848]~P7(x78482)+E(f822(f822(f38(x78481,x78482),x78483),f822(f822(f9(x78481,x78484,x78482),x78485),x78486)),f822(f822(f822(f38(x78481,f892(x78484,x78482)),x78483),x78485),x78486))
% 218.59/218.72 [7849]~P7(x78492)+E(f822(f822(f39(x78491,x78492),x78493),f822(f822(f9(x78491,x78494,x78492),x78495),x78496)),f822(f822(f822(f39(x78491,f892(x78494,x78492)),x78493),x78495),x78496))
% 218.59/218.72 [8620]E(f822(f822(f38(x86201,f892(x86202,a882)),x86203),f822(f822(f10(f892(x86202,a882),f892(x86202,a882),x86201),f822(f298(x86202),x86204)),x86205)),f822(f822(f298(x86202),x86204),f822(f822(f38(x86201,f892(x86202,a882)),x86203),x86205)))+~P144(f822(f822(f318(x86201),x86206),x86203))
% 218.59/218.72 [9038]~P7(x90382)+E(f822(f822(f38(x90381,x90382),x90383),f822(f822(f10(f892(x90384,x90382),x90382,x90381),f822(f38(x90384,x90382),x90385)),f822(f9(x90384,x90381,x90382),x90386))),f822(f822(f38(x90384,x90382),x90385),f822(f822(f10(f892(x90381,x90382),x90382,x90384),f822(f38(x90381,x90382),x90383)),x90386)))
% 218.59/218.72 [9039]~P7(x90392)+E(f822(f822(f39(x90391,x90392),x90393),f822(f822(f10(f892(x90394,x90392),x90392,x90391),f822(f39(x90394,x90392),x90395)),f822(f9(x90394,x90391,x90392),x90396))),f822(f822(f39(x90394,x90392),x90395),f822(f822(f10(f892(x90391,x90392),x90392,x90394),f822(f39(x90391,x90392),x90393)),x90396)))
% 218.59/218.72 [9254]P144(f822(f822(f318(x92541),x92542),f822(f164(x92541),x92543)))+~P144(f822(f822(f318(f891(x92544,x92541)),f822(f822(f243(x92544,x92541),x92545),x92542)),f822(f164(f891(x92544,x92541)),f822(f822(f173(x92544,x92541),x92546),x92543))))
% 218.59/218.72 [9255]P144(f822(f822(f318(x92551),x92552),f822(f164(x92551),x92553)))+~P144(f822(f822(f318(f891(x92551,x92554)),f822(f822(f243(x92551,x92554),x92552),x92555)),f822(f164(f891(x92551,x92554)),f822(f822(f173(x92551,x92554),x92553),x92556))))
% 218.59/218.72 [9357]P144(f822(f822(f226(f892(x93571,a882)),f822(f274(x93572,x93571,x93573),x93574)),x93575))+~P144(f822(f822(f226(f892(f891(x93572,x93571),a882)),x93573),f822(f822(f245(x93572,x93571),x93576),f822(f18(f892(x93571,a882),x93572),x93575))))
% 218.59/218.72 [9556]P144(f822(f822(f318(f891(f887(x95561),f887(x95561))),f822(f822(f243(f887(x95561),f887(x95561)),f822(f822(f143(x95561),x95562),x95563)),f822(f822(f143(x95561),x95564),x95565))),f139(x95561,x95566)))+~P144(f822(f822(f318(f891(x95561,x95561)),f822(f822(f243(x95561,x95561),x95562),x95564)),x95566))
% 218.59/218.72 [10009]E(f822(f822(f243(x100091,x100092),f564(x100093,x100094,x100095,x100092,x100091,x100096)),f565(x100093,x100094,x100095,x100092,x100091,x100096)),x100096)+P144(f822(f822(f318(x100095),x100094),f822(f822(f248(x100091,x100092,f892(x100095,a882)),x100093),x100096)))
% 218.59/218.72 [10015]E(f822(f822(f243(x100151,x100152),f566(x100153,x100154,x100152,x100151,x100155,x100156)),f567(x100153,x100154,x100152,x100151,x100155,x100156)),x100153)+~P144(f822(f822(f318(x100156),x100155),f822(f822(f248(x100151,x100152,f892(x100156,a882)),x100154),x100153)))
% 218.59/218.72 [10172]P144(f822(f822(f318(x101721),x101722),f822(f822(x101723,f566(x101724,x101723,x101725,x101726,x101722,x101721)),f567(x101724,x101723,x101725,x101726,x101722,x101721))))+~P144(f822(f822(f318(x101721),x101722),f822(f822(f248(x101726,x101725,f892(x101721,a882)),x101723),x101724)))
% 218.59/218.72 [10198]~P144(f822(f822(f318(x101981),x101982),f822(f822(x101985,f564(x101985,x101982,x101981,x101984,x101983,x101986)),f565(x101985,x101982,x101981,x101984,x101983,x101986))))+P144(f822(f822(f318(x101981),x101982),f822(f822(f248(x101983,x101984,f892(x101981,a882)),x101985),x101986)))
% 218.59/218.72 [8521]E(x85211,x85212)+E(f822(f822(f151(x85213,f822(f822(f151(x85213,x85214),x85211),x85215)),x85212),x85216),f822(f822(f151(x85213,f822(f822(f151(x85213,x85214),x85212),x85216)),x85211),x85215))
% 218.59/218.72 [9610]~P144(f822(f822(f318(x96103),x96106),x96105))+E(f822(f822(f298(x96101),x96102),f822(f299(x96103,x96101,x96104),f822(f822(f3(f892(x96103,a882)),x96105),f822(f822(f298(x96103),x96106),f182(f892(x96103,a882)))))),f822(f299(x96103,x96101,f74(x96103,x96101,x96104,x96106,x96102)),x96105))
% 218.59/218.72 [9118]~P144(f822(f822(x91184,x91185),x91186))+P144(f822(f822(f822(f822(f96(f892(x91181,f892(x91182,a882))),x91183),x91184),x91185),x91186))
% 218.59/218.72 [9120]~P144(f822(f822(x91203,x91205),x91206))+P144(f822(f822(f822(f822(f96(f892(x91201,f892(x91202,a882))),x91203),x91204),x91205),x91206))
% 218.59/218.72 [9412]P144(f822(f822(x94121,x94122),x94123))+~P144(f822(f822(f822(f822(f97(f892(x94124,f892(x94125,a882))),x94126),x94121),x94122),x94123))
% 218.59/218.72 [9413]P144(f822(f822(x94131,x94132),x94133))+~P144(f822(f822(f822(f822(f97(f892(x94134,f892(x94135,a882))),x94131),x94136),x94132),x94133))
% 218.59/218.72 [9851]~P72(x98512)+E(f822(f822(f8(x98511,x98512),f822(f822(f9(x98511,f892(x98513,a882),x98512),f822(f822(f10(f892(x98513,x98512),f892(f892(x98513,a882),x98512),x98511),f8(x98513,x98512)),x98514)),x98515)),x98516),f822(f822(f8(f891(x98511,x98513),x98512),f822(f248(x98511,x98513,x98512),x98514)),f822(f822(f245(x98511,x98513),x98516),f822(f18(f892(x98513,a882),x98511),x98515))))
% 218.59/218.72 [9852]~P76(x98522)+E(f822(f822(f11(x98521,x98522),f822(f822(f9(x98521,f892(x98523,a882),x98522),f822(f822(f10(f892(x98523,x98522),f892(f892(x98523,a882),x98522),x98521),f11(x98523,x98522)),x98524)),x98525)),x98526),f822(f822(f11(f891(x98521,x98523),x98522),f822(f248(x98521,x98523,x98522),x98524)),f822(f822(f245(x98521,x98523),x98526),f822(f18(f892(x98523,a882),x98521),x98525))))
% 218.59/218.72 [9978]~P72(x99782)+E(f822(f822(f8(x99781,x99782),f822(f822(f9(x99781,f892(x99783,a882),x99782),f822(f822(f10(f892(x99783,x99782),f892(f892(x99783,a882),x99782),x99781),f8(x99783,x99782)),f822(f9(x99783,x99781,x99782),x99784))),x99785)),x99786),f822(f822(f8(x99783,x99782),f822(f822(f9(x99783,f892(x99781,a882),x99782),f822(f822(f10(f892(x99781,x99782),f892(f892(x99781,a882),x99782),x99783),f8(x99781,x99782)),x99784)),x99786)),x99785))
% 218.59/218.72 [10284]~P144(f822(f822(f318(f891(x102841,x102842)),f822(f822(f243(x102841,x102842),x102845),x102846)),f822(f822(f96(f892(f891(x102841,x102842),a882)),x102843),x102844)))+P144(f822(f822(f822(f822(f96(f892(x102841,f892(x102842,a882))),f822(f822(f9(x102841,f892(f891(x102841,x102842),a882),f892(x102842,a882)),f822(f822(f10(f892(x102842,f892(f892(f891(x102841,x102842),a882),a882)),f892(f892(f891(x102841,x102842),a882),f892(x102842,a882)),x102841),f9(x102842,f892(f891(x102841,x102842),a882),a882)),f822(f822(f10(f892(x102842,f891(x102841,x102842)),f892(x102842,f892(f892(f891(x102841,x102842),a882),a882)),x102841),f822(f10(f891(x102841,x102842),f892(f892(f891(x102841,x102842),a882),a882),x102842),f318(f891(x102841,x102842)))),f243(x102841,x102842)))),x102843)),f822(f822(f9(x102841,f892(f891(x102841,x102842),a882),f892(x102842,a882)),f822(f822(f10(f892(x102842,f892(f892(f891(x102841,x102842),a882),a882)),f892(f892(f891(x102841,x102842),a882),f892(x102842,a882)),x102841),f9(x102842,f892(f891(x102841,x102842),a882),a882)),f822(f822(f10(f892(x102842,f891(x102841,x102842)),f892(x102842,f892(f892(f891(x102841,x102842),a882),a882)),x102841),f822(f10(f891(x102841,x102842),f892(f892(f891(x102841,x102842),a882),a882),x102842),f318(f891(x102841,x102842)))),f243(x102841,x102842)))),x102844)),x102845),x102846))
% 218.59/218.72 [10285]~P144(f822(f822(f318(f891(x102851,x102852)),f822(f822(f243(x102851,x102852),x102855),x102856)),f822(f822(f97(f892(f891(x102851,x102852),a882)),x102853),x102854)))+P144(f822(f822(f822(f822(f97(f892(x102851,f892(x102852,a882))),f822(f822(f9(x102851,f892(f891(x102851,x102852),a882),f892(x102852,a882)),f822(f822(f10(f892(x102852,f892(f892(f891(x102851,x102852),a882),a882)),f892(f892(f891(x102851,x102852),a882),f892(x102852,a882)),x102851),f9(x102852,f892(f891(x102851,x102852),a882),a882)),f822(f822(f10(f892(x102852,f891(x102851,x102852)),f892(x102852,f892(f892(f891(x102851,x102852),a882),a882)),x102851),f822(f10(f891(x102851,x102852),f892(f892(f891(x102851,x102852),a882),a882),x102852),f318(f891(x102851,x102852)))),f243(x102851,x102852)))),x102853)),f822(f822(f9(x102851,f892(f891(x102851,x102852),a882),f892(x102852,a882)),f822(f822(f10(f892(x102852,f892(f892(f891(x102851,x102852),a882),a882)),f892(f892(f891(x102851,x102852),a882),f892(x102852,a882)),x102851),f9(x102852,f892(f891(x102851,x102852),a882),a882)),f822(f822(f10(f892(x102852,f891(x102851,x102852)),f892(x102852,f892(f892(f891(x102851,x102852),a882),a882)),x102851),f822(f10(f891(x102851,x102852),f892(f892(f891(x102851,x102852),a882),a882),x102852),f318(f891(x102851,x102852)))),f243(x102851,x102852)))),x102854)),x102855),x102856))
% 218.59/218.72 [10291]P144(f822(f822(f318(f891(x102911,x102912)),f822(f822(f243(x102911,x102912),x102913),x102914)),f822(f822(f96(f892(f891(x102911,x102912),a882)),x102915),x102916)))+~P144(f822(f822(f822(f822(f96(f892(x102911,f892(x102912,a882))),f822(f822(f9(x102911,f892(f891(x102911,x102912),a882),f892(x102912,a882)),f822(f822(f10(f892(x102912,f892(f892(f891(x102911,x102912),a882),a882)),f892(f892(f891(x102911,x102912),a882),f892(x102912,a882)),x102911),f9(x102912,f892(f891(x102911,x102912),a882),a882)),f822(f822(f10(f892(x102912,f891(x102911,x102912)),f892(x102912,f892(f892(f891(x102911,x102912),a882),a882)),x102911),f822(f10(f891(x102911,x102912),f892(f892(f891(x102911,x102912),a882),a882),x102912),f318(f891(x102911,x102912)))),f243(x102911,x102912)))),x102915)),f822(f822(f9(x102911,f892(f891(x102911,x102912),a882),f892(x102912,a882)),f822(f822(f10(f892(x102912,f892(f892(f891(x102911,x102912),a882),a882)),f892(f892(f891(x102911,x102912),a882),f892(x102912,a882)),x102911),f9(x102912,f892(f891(x102911,x102912),a882),a882)),f822(f822(f10(f892(x102912,f891(x102911,x102912)),f892(x102912,f892(f892(f891(x102911,x102912),a882),a882)),x102911),f822(f10(f891(x102911,x102912),f892(f892(f891(x102911,x102912),a882),a882),x102912),f318(f891(x102911,x102912)))),f243(x102911,x102912)))),x102916)),x102913),x102914))
% 218.59/218.72 [10292]P144(f822(f822(f318(f891(x102921,x102922)),f822(f822(f243(x102921,x102922),x102923),x102924)),f822(f822(f97(f892(f891(x102921,x102922),a882)),x102925),x102926)))+~P144(f822(f822(f822(f822(f97(f892(x102921,f892(x102922,a882))),f822(f822(f9(x102921,f892(f891(x102921,x102922),a882),f892(x102922,a882)),f822(f822(f10(f892(x102922,f892(f892(f891(x102921,x102922),a882),a882)),f892(f892(f891(x102921,x102922),a882),f892(x102922,a882)),x102921),f9(x102922,f892(f891(x102921,x102922),a882),a882)),f822(f822(f10(f892(x102922,f891(x102921,x102922)),f892(x102922,f892(f892(f891(x102921,x102922),a882),a882)),x102921),f822(f10(f891(x102921,x102922),f892(f892(f891(x102921,x102922),a882),a882),x102922),f318(f891(x102921,x102922)))),f243(x102921,x102922)))),x102925)),f822(f822(f9(x102921,f892(f891(x102921,x102922),a882),f892(x102922,a882)),f822(f822(f10(f892(x102922,f892(f892(f891(x102921,x102922),a882),a882)),f892(f892(f891(x102921,x102922),a882),f892(x102922,a882)),x102921),f9(x102922,f892(f891(x102921,x102922),a882),a882)),f822(f822(f10(f892(x102922,f891(x102921,x102922)),f892(x102922,f892(f892(f891(x102921,x102922),a882),a882)),x102921),f822(f10(f891(x102921,x102922),f892(f892(f891(x102921,x102922),a882),a882),x102922),f318(f891(x102921,x102922)))),f243(x102921,x102922)))),x102926)),x102923),x102924))
% 218.59/218.72 [10280]~P144(f822(f822(f318(f891(x102802,x102803)),f822(f822(f243(x102802,x102803),x102805),x102806)),f822(f822(f38(x102801,f892(f891(x102802,x102803),a882)),f233(f892(x102801,a882))),x102804)))+P144(f822(f822(f822(f822(f38(x102801,f892(x102802,f892(x102803,a882))),f233(f892(x102801,a882))),f822(f822(f10(f892(f891(x102802,x102803),a882),f892(x102802,f892(x102803,a882)),x102801),f822(f9(x102802,f892(f891(x102802,x102803),a882),f892(x102803,a882)),f822(f822(f10(f892(x102803,f892(f892(f891(x102802,x102803),a882),a882)),f892(f892(f891(x102802,x102803),a882),f892(x102803,a882)),x102802),f9(x102803,f892(f891(x102802,x102803),a882),a882)),f822(f822(f10(f892(x102803,f891(x102802,x102803)),f892(x102803,f892(f892(f891(x102802,x102803),a882),a882)),x102802),f822(f10(f891(x102802,x102803),f892(f892(f891(x102802,x102803),a882),a882),x102803),f318(f891(x102802,x102803)))),f243(x102802,x102803))))),x102804)),x102805),x102806))
% 218.59/218.72 [10281]~P144(f822(f822(f318(f891(x102812,x102813)),f822(f822(f243(x102812,x102813),x102815),x102816)),f822(f822(f39(x102811,f892(f891(x102812,x102813),a882)),f233(f892(x102811,a882))),x102814)))+P144(f822(f822(f822(f822(f39(x102811,f892(x102812,f892(x102813,a882))),f233(f892(x102811,a882))),f822(f822(f10(f892(f891(x102812,x102813),a882),f892(x102812,f892(x102813,a882)),x102811),f822(f9(x102812,f892(f891(x102812,x102813),a882),f892(x102813,a882)),f822(f822(f10(f892(x102813,f892(f892(f891(x102812,x102813),a882),a882)),f892(f892(f891(x102812,x102813),a882),f892(x102813,a882)),x102812),f9(x102813,f892(f891(x102812,x102813),a882),a882)),f822(f822(f10(f892(x102813,f891(x102812,x102813)),f892(x102813,f892(f892(f891(x102812,x102813),a882),a882)),x102812),f822(f10(f891(x102812,x102813),f892(f892(f891(x102812,x102813),a882),a882),x102813),f318(f891(x102812,x102813)))),f243(x102812,x102813))))),x102814)),x102815),x102816))
% 218.59/218.72 [10288]P144(f822(f822(f318(f891(x102881,x102882)),f822(f822(f243(x102881,x102882),x102883),x102884)),f822(f822(f38(x102885,f892(f891(x102881,x102882),a882)),f233(f892(x102885,a882))),x102886)))+~P144(f822(f822(f822(f822(f38(x102885,f892(x102881,f892(x102882,a882))),f233(f892(x102885,a882))),f822(f822(f10(f892(f891(x102881,x102882),a882),f892(x102881,f892(x102882,a882)),x102885),f822(f9(x102881,f892(f891(x102881,x102882),a882),f892(x102882,a882)),f822(f822(f10(f892(x102882,f892(f892(f891(x102881,x102882),a882),a882)),f892(f892(f891(x102881,x102882),a882),f892(x102882,a882)),x102881),f9(x102882,f892(f891(x102881,x102882),a882),a882)),f822(f822(f10(f892(x102882,f891(x102881,x102882)),f892(x102882,f892(f892(f891(x102881,x102882),a882),a882)),x102881),f822(f10(f891(x102881,x102882),f892(f892(f891(x102881,x102882),a882),a882),x102882),f318(f891(x102881,x102882)))),f243(x102881,x102882))))),x102886)),x102883),x102884))
% 218.59/218.72 [10289]P144(f822(f822(f318(f891(x102891,x102892)),f822(f822(f243(x102891,x102892),x102893),x102894)),f822(f822(f39(x102895,f892(f891(x102891,x102892),a882)),f233(f892(x102895,a882))),x102896)))+~P144(f822(f822(f822(f822(f39(x102895,f892(x102891,f892(x102892,a882))),f233(f892(x102895,a882))),f822(f822(f10(f892(f891(x102891,x102892),a882),f892(x102891,f892(x102892,a882)),x102895),f822(f9(x102891,f892(f891(x102891,x102892),a882),f892(x102892,a882)),f822(f822(f10(f892(x102892,f892(f892(f891(x102891,x102892),a882),a882)),f892(f892(f891(x102891,x102892),a882),f892(x102892,a882)),x102891),f9(x102892,f892(f891(x102891,x102892),a882),a882)),f822(f822(f10(f892(x102892,f891(x102891,x102892)),f892(x102892,f892(f892(f891(x102891,x102892),a882),a882)),x102891),f822(f10(f891(x102891,x102892),f892(f892(f891(x102891,x102892),a882),a882),x102892),f318(f891(x102891,x102892)))),f243(x102891,x102892))))),x102896)),x102893),x102894))
% 218.59/218.72 [7519]E(f822(x75191,f822(x75192,x75193)),f822(x75194,x75193))+~E(f822(f72(x75195,x75196,x75197,x75191),x75192),x75194)
% 218.59/218.72 [9626]E(x96261,x96262)+E(f74(x96263,x96264,f74(x96263,x96264,x96265,x96261,x96266),x96262,x96267),f74(x96263,x96264,f74(x96263,x96264,x96265,x96262,x96267),x96261,x96266))
% 218.59/218.72 [9719]~P24(x97193,x97194,x97191,x97195,x97196,x97197)+E(f822(f822(x97191,x97192),x97192),x97192)
% 218.59/218.72 [6014]~E(f822(f822(f146(x60141,x60145),x60146),x60142),f822(f822(f146(x60143,x60145),x60147),x60144))+E(f822(f183(f887(x60141)),x60142),f822(f183(f887(x60143)),x60144))
% 218.59/218.72 [8552]E(f822(x85521,f822(x85522,x85523)),f822(x85524,x85523))+~E(f822(f72(x85525,x85526,x85527,x85521),x85522),f822(f72(x85526,x85526,x85527,f31(x85526)),x85524))
% 218.59/218.72 [8881]~P33(x88814,x88815,x88811,f822(f822(f143(x88814),x88812),x88816),f822(f822(f143(x88815),x88813),x88817))+P144(f822(f822(x88811,x88812),x88813))
% 218.59/218.72 [9261]P33(x92611,x92612,x92613,x92614,x92615)+~P33(x92611,x92612,x92613,f822(f822(f143(x92611),x92616),x92614),f822(f822(f143(x92612),x92617),x92615))
% 218.59/218.72 [9884]P144(f822(f822(x98841,x98842),f540(x98843,x98842,x98844,x98841)))+~P144(f822(f822(f244(x98845,x98846,x98847,x98841,x98844),x98842),x98843))
% 218.59/218.72 [9906]P144(f822(f822(x99061,f540(x99062,x99063,x99061,x99064)),x99062))+~P144(f822(f822(f244(x99065,x99066,x99067,x99064,x99061),x99063),x99062))
% 218.59/218.72 [8994]~P22(x89946,x89941,x89943,x89947)+E(f822(f72(x89941,x89941,x89942,f822(x89943,x89944)),f822(f72(x89941,x89941,x89942,f822(x89943,x89944)),x89945)),f822(f72(x89941,x89941,x89942,f822(x89943,x89944)),x89945))
% 218.59/218.72 [9364]~P33(x93643,x93642,x93644,f822(f822(f146(x93641,x93643),x93645),x93646),x93647)+P33(x93641,x93642,f822(f822(f10(x93643,f892(x93642,a882),x93641),x93644),x93645),x93646,x93647)
% 218.59/218.72 [9388]P33(x93881,x93882,x93883,f822(f822(f146(x93884,x93881),x93885),x93886),x93887)+~P33(x93884,x93882,f822(f822(f10(x93881,f892(x93882,a882),x93884),x93883),x93885),x93886,x93887)
% 218.59/218.72 [8993]~P144(f822(f822(f318(x89931),x89932),f822(f822(x89935,x89936),x89937)))+P144(f822(f822(f318(x89931),x89932),f822(f822(f248(x89933,x89934,f892(x89931,a882)),x89935),f822(f822(f243(x89933,x89934),x89936),x89937))))
% 218.59/218.72 [9285]P144(f822(f822(f822(x92851,x92852),x92853),x92854))+~P144(f822(f822(f822(f248(x92855,x92856,f892(x92857,a882)),x92851),f822(f822(f243(x92855,x92856),x92852),x92853)),x92854))
% 218.59/218.72 [9426]P144(f822(f822(f318(x94261),f822(f822(x94262,x94263),x94264)),f822(f299(f891(x94265,x94266),x94261,f822(f248(x94265,x94266,x94261),x94262)),x94267)))+~P144(f822(f822(f318(f891(x94265,x94266)),f822(f822(f243(x94265,x94266),x94263),x94264)),x94267))
% 218.59/218.72 [9766]P144(f822(f822(f318(f891(f887(x97661),f887(x97661))),f822(f822(f243(f887(x97661),f887(x97661)),f822(f822(f126(x97661),x97662),f822(f822(f143(x97661),x97663),x97664))),f822(f822(f126(x97661),x97662),f822(f822(f143(x97661),x97665),x97666)))),f139(x97661,x97667)))+~P144(f822(f822(f318(f891(x97661,x97661)),f822(f822(f243(x97661,x97661),x97663),x97665)),x97667))
% 218.59/218.72 [9834]~P33(x98341,x98343,x98344,x98346,f822(f822(f146(x98342,x98343),x98345),x98347))+P33(x98341,x98342,f822(f822(f9(x98341,f892(x98342,x98343),f892(x98342,a882)),f822(f822(f10(f892(x98343,a882),f892(f892(x98342,x98343),f892(x98342,a882)),x98341),f10(x98343,a882,x98342)),x98344)),x98345),x98346,x98347)
% 218.59/218.72 [9910]P33(x99101,x99102,x99103,x99104,f822(f822(f146(x99105,x99102),x99106),x99107))+~P33(x99101,x99105,f822(f822(f9(x99101,f892(x99105,x99102),f892(x99105,a882)),f822(f822(f10(f892(x99102,a882),f892(f892(x99105,x99102),f892(x99105,a882)),x99101),f10(x99102,a882,x99105)),x99103)),x99106),x99104,x99107)
% 218.59/218.72 [10211]P144(f822(f822(f318(x102111),f602(x102112,x102113,x102114,x102115,x102116,x102117,x102111)),x102115))+P144(f822(f822(f822(f822(f39(x102111,f892(x102117,f892(x102116,a882))),x102115),x102114),x102113),x102112))
% 218.59/218.72 [10212]P144(f822(f822(f318(x102121),f799(x102122,x102123,x102124,x102125,x102126,x102127,x102121)),x102127))+P144(f822(f822(f822(f822(f39(x102121,f892(x102123,f892(x102122,a882))),x102127),x102126),x102125),x102124))
% 218.59/218.72 [10213]P144(f822(f822(f318(x102131),f389(x102132,x102133,x102134,x102135,x102136,x102137,x102131)),x102135))+~P144(f822(f822(f822(f822(f38(x102131,f892(x102137,f892(x102136,a882))),x102135),x102134),x102133),x102132))
% 218.59/218.72 [10214]P144(f822(f822(f318(x102141),f800(x102142,x102143,x102144,x102145,x102146,x102147,x102141)),x102145))+~P144(f822(f822(f822(f822(f38(x102141,f892(x102147,f892(x102146,a882))),x102145),x102144),x102143),x102142))
% 218.59/218.72 [10245]P144(f822(f822(f822(x102451,f389(x102452,x102453,x102451,x102454,x102455,x102456,x102457)),x102453),x102452))+~P144(f822(f822(f822(f822(f38(x102457,f892(x102456,f892(x102455,a882))),x102454),x102451),x102453),x102452))
% 218.59/218.72 [10246]P144(f822(f822(f822(x102461,f800(x102462,x102463,x102461,x102464,x102465,x102466,x102467)),x102463),x102462))+~P144(f822(f822(f822(f822(f38(x102467,f892(x102466,f892(x102465,a882))),x102464),x102461),x102463),x102462))
% 218.59/218.72 [10261]~P144(f822(f822(f822(x102615,f602(x102617,x102616,x102615,x102614,x102613,x102612,x102611)),x102616),x102617))+P144(f822(f822(f822(f822(f39(x102611,f892(x102612,f892(x102613,a882))),x102614),x102615),x102616),x102617))
% 218.59/218.72 [10262]~P144(f822(f822(f822(x102625,f799(x102623,x102622,x102627,x102626,x102625,x102624,x102621)),x102626),x102627))+P144(f822(f822(f822(f822(f39(x102621,f892(x102622,f892(x102623,a882))),x102624),x102625),x102626),x102627))
% 218.59/218.72 [10279]~P144(f822(f822(f318(f891(x102791,x102793)),f822(f822(f243(x102791,x102793),x102796),x102797)),f822(f822(f278(x102791,x102792,x102793),x102794),x102795)))+P144(f822(f822(f244(x102791,x102792,x102793,f822(f822(f9(x102791,f892(f891(x102791,x102792),a882),f892(x102792,a882)),f822(f822(f10(f892(x102792,f892(f892(f891(x102791,x102792),a882),a882)),f892(f892(f891(x102791,x102792),a882),f892(x102792,a882)),x102791),f9(x102792,f892(f891(x102791,x102792),a882),a882)),f822(f822(f10(f892(x102792,f891(x102791,x102792)),f892(x102792,f892(f892(f891(x102791,x102792),a882),a882)),x102791),f822(f10(f891(x102791,x102792),f892(f892(f891(x102791,x102792),a882),a882),x102792),f318(f891(x102791,x102792)))),f243(x102791,x102792)))),x102794),f822(f822(f9(x102792,f892(f891(x102792,x102793),a882),f892(x102793,a882)),f822(f822(f10(f892(x102793,f892(f892(f891(x102792,x102793),a882),a882)),f892(f892(f891(x102792,x102793),a882),f892(x102793,a882)),x102792),f9(x102793,f892(f891(x102792,x102793),a882),a882)),f822(f822(f10(f892(x102793,f891(x102792,x102793)),f892(x102793,f892(f892(f891(x102792,x102793),a882),a882)),x102792),f822(f10(f891(x102792,x102793),f892(f892(f891(x102792,x102793),a882),a882),x102793),f318(f891(x102792,x102793)))),f243(x102792,x102793)))),x102795)),x102796),x102797))
% 218.59/218.72 [10287]P144(f822(f822(f318(f891(x102871,x102872)),f822(f822(f243(x102871,x102872),x102873),x102874)),f822(f822(f278(x102871,x102875,x102872),x102876),x102877)))+~P144(f822(f822(f244(x102871,x102875,x102872,f822(f822(f9(x102871,f892(f891(x102871,x102875),a882),f892(x102875,a882)),f822(f822(f10(f892(x102875,f892(f892(f891(x102871,x102875),a882),a882)),f892(f892(f891(x102871,x102875),a882),f892(x102875,a882)),x102871),f9(x102875,f892(f891(x102871,x102875),a882),a882)),f822(f822(f10(f892(x102875,f891(x102871,x102875)),f892(x102875,f892(f892(f891(x102871,x102875),a882),a882)),x102871),f822(f10(f891(x102871,x102875),f892(f892(f891(x102871,x102875),a882),a882),x102875),f318(f891(x102871,x102875)))),f243(x102871,x102875)))),x102876),f822(f822(f9(x102875,f892(f891(x102875,x102872),a882),f892(x102872,a882)),f822(f822(f10(f892(x102872,f892(f892(f891(x102875,x102872),a882),a882)),f892(f892(f891(x102875,x102872),a882),f892(x102872,a882)),x102875),f9(x102872,f892(f891(x102875,x102872),a882),a882)),f822(f822(f10(f892(x102872,f891(x102875,x102872)),f892(x102872,f892(f892(f891(x102875,x102872),a882),a882)),x102875),f822(f10(f891(x102875,x102872),f892(f892(f891(x102875,x102872),a882),a882),x102872),f318(f891(x102875,x102872)))),f243(x102875,x102872)))),x102877)),x102873),x102874))
% 218.59/218.72 [10223]~P143(x102232)+E(f822(f822(f8(x102231,x102232),f822(f822(f9(x102231,f892(x102233,a882),x102232),f822(f822(f10(f892(x102233,x102232),f892(f892(x102233,a882),x102232),x102231),f8(x102233,x102232)),f822(f822(f9(x102231,f892(x102233,x102232),f892(x102233,x102232)),f822(f822(f10(f892(x102232,x102232),f892(f892(x102233,x102232),f892(x102233,x102232)),x102231),f10(x102232,x102232,x102233)),f822(f822(f10(x102232,f892(x102232,x102232),x102231),f80(x102232)),x102234))),x102235))),x102236)),x102237),f822(f822(f80(x102232),f822(f822(f8(x102231,x102232),x102234),x102237)),f822(f822(f8(x102233,x102232),x102235),x102236)))
% 218.59/218.72 [9316]~P21(x93167,x93161,x93163,x93168)+E(f822(f72(x93161,x93161,x93162,f822(x93163,x93164)),f822(f72(x93161,x93161,x93162,f822(x93163,x93165)),x93166)),f822(f72(x93161,x93161,x93162,f822(x93163,x93165)),f822(f72(x93161,x93161,x93162,f822(x93163,x93164)),x93166)))
% 218.59/218.72 [10282]E(f822(f822(f243(x102821,x102822),f822(x102823,f508(x102824,x102825,x102823,x102826,x102827,x102828,x102822,x102821))),f822(x102825,f509(x102824,x102825,x102823,x102826,x102827,x102828,x102822,x102821))),x102828)+~P144(f822(f822(f318(f891(x102821,x102822)),x102828),f822(f299(f891(x102827,x102826),f891(x102821,x102822),f249(x102827,x102821,x102826,x102822,x102823,x102825)),x102824)))
% 218.59/218.72 [10296]~P144(f822(f822(f318(f891(x102968,x102967)),x102966),f822(f299(f891(x102961,x102962),f891(x102968,x102967),f249(x102961,x102968,x102962,x102967,x102965,x102964)),x102963)))+P144(f822(f822(f318(f891(x102961,x102962)),f822(f822(f243(x102961,x102962),f508(x102963,x102964,x102965,x102962,x102961,x102966,x102967,x102968)),f509(x102963,x102964,x102965,x102962,x102961,x102966,x102967,x102968))),x102963))
% 218.59/218.72 [9756]P144(f822(f822(f318(f891(f891(x97561,x97562),f891(x97561,x97562))),f822(f822(f243(f891(x97561,x97562),f891(x97561,x97562)),f822(f822(f243(x97561,x97562),x97563),x97564)),f822(f822(f243(x97561,x97562),x97565),x97566))),f308(x97561,x97562,x97567,x97568)))+~P144(f822(f822(f318(f891(x97561,x97561)),f822(f822(f243(x97561,x97561),x97563),x97565)),x97567))
% 218.59/218.72 [10273]E(f822(f134(x102731,x102732,f822(f9(x102732,x102731,x102731),x102733),f822(x102734,x102735)),x102736),f822(x102734,f822(f134(x102737,x102732,f822(f9(x102732,x102737,x102737),x102738),x102735),x102736)))+P144(f822(f822(f318(x102732),f747(x102735,x102738,x102734,x102733,x102737,x102731,x102736,x102732)),f822(f164(x102732),x102736)))
% 218.59/218.72 [10290]~E(f822(f72(x102901,x102901,x102907,f822(x102903,f747(x102905,x102908,x102904,x102903,x102907,x102901,x102906,x102902))),x102904),f822(f72(x102907,x102901,x102907,x102904),f822(x102908,f747(x102905,x102908,x102904,x102903,x102907,x102901,x102906,x102902))))+E(f822(f134(x102901,x102902,f822(f9(x102902,x102901,x102901),x102903),f822(x102904,x102905)),x102906),f822(x102904,f822(f134(x102907,x102902,f822(f9(x102902,x102907,x102907),x102908),x102905),x102906)))
% 218.59/218.72 [8557]E(f822(x85571,f822(x85572,x85573)),f822(x85574,f822(x85575,x85573)))+~E(f822(f72(x85576,x85577,x85578,x85571),x85572),f822(f72(x85579,x85577,x85578,x85574),x85575))
% 218.59/218.72 [10142]P144(f822(f822(f318(f891(x101421,x101422)),f822(f822(f243(x101421,x101422),f822(x101423,x101424)),f822(x101425,x101426))),f822(f299(f891(x101427,x101428),f891(x101421,x101422),f249(x101427,x101421,x101428,x101422,x101423,x101425)),x101429)))+~P144(f822(f822(f318(f891(x101427,x101428)),f822(f822(f243(x101427,x101428),x101424),x101426)),x101429))
% 218.59/218.72 [8829]~E(f822(x88294,f822(x88295,x88296)),f822(x88299,f822(x882910,x882911)))+E(f822(f822(f72(x88291,x88292,x88293,x88294),x88295),x88296),f822(f822(f72(x88297,x88292,x88298,x88299),x882910),x882911))
% 218.59/218.72 [4558]~P92(x45581)+~P99(x45581)+E(f181(x45581),f96(x45581))
% 218.59/218.72 [4559]~P92(x45591)+~P105(x45591)+E(f230(x45591),f97(x45591))
% 218.59/218.72 [4810]~P111(x48101)+~P96(x48101)+E(f822(f75(x48101),f822(f99(x48101),a92)),f77(x48101))
% 218.59/218.72 [5104]E(x51041,f2(a1))+E(f81(a1,x51041),f822(f78(a1),f77(a1)))+P144(f822(f822(f227(a1),f2(a1)),x51041))
% 218.59/218.72 [5316]E(x53161,f2(a1))+E(f81(a1,x53161),f77(a1))+~P144(f822(f822(f227(a1),f2(a1)),x53161))
% 218.59/218.72 [7414]~P39(x74141)+P144(f822(f60(a1),x74141))+~P144(f822(f60(a885),f822(f299(a1,a885,a100),x74141)))
% 218.59/218.72 [9718]E(x97181,f182(f892(f891(a885,a885),a882)))+~P144(f822(f60(f891(a885,a885)),x97181))+P144(f822(f822(f318(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f243(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),f182(f892(f891(a885,a885),a882))),x97181)),a33))
% 218.59/218.72 [9885]E(x98851,f2(a885))+E(x98851,f822(a107,f2(a885)))+~P144(f822(f822(f227(a885),x98851),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))
% 218.59/218.72 [10167]E(x101671,f2(a94))+E(f822(f822(f79(a1),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(a24,f822(f822(f35(a94),x101671),f822(f99(a94),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))))),f77(a1)),f822(a24,x101671))+E(f44(a94,x101671,f822(f99(a94),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f2(a94))
% 218.59/218.72 [10019]E(x100191,f2(a94))+~E(f44(a94,x100191,f822(f99(a94),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f2(a94))+E(f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(a24,f822(f822(f35(a94),x100191),f822(f99(a94),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))),f822(a24,x100191))
% 218.59/218.72 [4641]~P59(x46411,x46412)+P44(x46411,x46412)+~P45(a882)
% 218.59/218.72 [4570]~P1(x45701)+P28(x45701,x45702)+~E(x45702,f2(x45701))
% 218.59/218.72 [4571]~P92(x45711)+P15(x45711,x45712)+~E(x45712,f108(x45711))
% 218.59/218.72 [4580]~P111(x45801)+~E(x45802,f2(x45801))+E(f81(x45801,x45802),f2(x45801))
% 218.59/218.72 [4581]~P87(x45811)+~E(x45812,f2(x45811))+E(f81(x45811,x45812),f2(x45811))
% 218.59/218.72 [4589]~P1(x45892)+~P28(x45892,x45891)+E(x45891,f2(x45892))
% 218.59/218.72 [4634]~P111(x46342)+~E(f81(x46342,x46341),f2(x46342))+E(x46341,f2(x46342))
% 218.59/218.72 [4648]~P8(x46482)+~P8(x46481)+P8(f188(x46481,x46482))
% 218.59/218.72 [4649]~P62(x46492)+~P62(x46491)+P62(f892(x46491,x46492))
% 218.59/218.72 [4650]~P62(x46502)+~P62(x46501)+P62(f891(x46501,x46502))
% 218.59/218.72 [4651]~P62(x46512)+~P62(x46511)+P62(f893(x46511,x46512))
% 218.59/218.72 [4652]~P63(x46522)+~P63(x46521)+P63(f892(x46521,x46522))
% 218.59/218.72 [4653]~P63(x46532)+~P63(x46531)+P63(f891(x46531,x46532))
% 218.59/218.72 [4654]~P63(x46542)+~P63(x46541)+P63(f893(x46541,x46542))
% 218.59/218.72 [4655]~P106(x46552)+~P106(x46551)+P106(f891(x46551,x46552))
% 218.59/218.72 [4782]~P92(x47821)+~P15(x47821,x47822)+P15(x47821,f144(x47821,x47822))
% 218.59/218.72 [5030]~P8(x50302)+~P8(x50301)+P8(f44(a1,x50301,x50302))
% 218.59/218.72 [4591]~P74(x45911)+~E(x45912,f2(x45911))+E(f822(f78(x45911),x45912),x45912)
% 218.59/218.72 [4606]~P127(x46061)+~E(x46062,f2(a1))+E(f822(f98(x46061),x46062),f2(x46061))
% 218.59/218.72 [4607]~P94(x46071)+~E(x46072,f2(a1))+E(f822(f98(x46071),x46072),f2(x46071))
% 218.59/218.72 [4631]~P75(x46311)+~E(f2(x46311),x46312)+E(f822(f78(x46311),x46312),f2(x46311))
% 218.59/218.72 [4632]~P75(x46321)+~E(x46322,f2(x46321))+E(f822(f78(x46321),x46322),f2(x46321))
% 218.59/218.72 [4633]~P84(x46331)+~E(x46332,f2(x46331))+E(f822(f75(x46331),x46332),f2(x46331))
% 218.59/218.72 [4657]~P74(x46572)+E(x46571,f2(x46572))+~E(f822(f78(x46572),x46571),x46571)
% 218.59/218.72 [4663]E(x46631,f822(a100,x46632))+~E(x46631,f2(a885))+~E(x46632,f822(f95(a1),x46631))
% 218.59/218.72 [4664]E(f822(a100,x46641),x46642)+~E(x46642,f2(a885))+~E(x46641,f822(f95(a1),x46642))
% 218.59/218.72 [4668]~P94(x46682)+E(x46681,f2(a1))+~E(f822(f98(x46682),x46681),f2(x46682))
% 218.59/218.72 [4672]~P75(x46722)+E(x46721,f2(x46722))+~E(f822(f78(x46722),x46721),f2(x46722))
% 218.59/218.72 [4673]~P84(x46732)+E(x46731,f2(x46732))+~E(f822(f75(x46732),x46731),f2(x46732))
% 218.59/218.72 [4674]~P75(x46741)+E(f2(x46741),x46742)+~E(f822(f78(x46741),x46742),f2(x46741))
% 218.59/218.72 [4857]~P92(x48571)+~P15(x48571,x48572)+P15(x48571,f822(f163(x48571),x48572))
% 218.59/218.72 [4884]~P144(x48842)+~P144(x48841)+P144(f822(f822(a315,x48841),x48842))
% 218.59/218.72 [4922]~E(f77(a885),f2(a885))+E(f822(f34(x49221),x49222),f2(a885))+~P144(f822(f60(x49221),x49222))
% 218.59/218.72 [4958]~P115(x49581)+~P143(x49581)+E(f822(f822(f235(x49581),f2(x49581)),f822(a107,x49582)),f2(x49581))
% 218.59/218.72 [4998]~P92(x49981)+P15(x49981,f131(x49981,x49982))+~P144(f822(f60(x49981),x49982))
% 218.59/218.72 [4999]~P92(x49991)+P15(x49991,f739(x49992,x49991))+~P144(f822(f60(x49991),x49992))
% 218.59/218.72 [5022]~P92(x50221)+E(f822(f164(x50221),f131(x50221,x50222)),x50222)+~P144(f822(f60(x50221),x50222))
% 218.59/218.72 [5023]~P92(x50231)+E(f822(f164(x50231),f739(x50232,x50231)),x50232)+~P144(f822(f60(x50231),x50232))
% 218.59/218.72 [5052]P144(x50521)+P144(x50522)+~P144(f822(f822(a316,x50522),x50521))
% 218.59/218.72 [5065]E(x50651,f182(f892(x50652,a882)))+~E(f822(f34(x50652),x50651),f2(a885))+~P144(f822(f60(x50652),x50651))
% 218.59/218.72 [5070]P144(x50701)+~P144(x50702)+~P144(f822(f822(a319,x50702),x50701))
% 218.59/218.72 [5122]~P71(x51221)+E(f822(f75(x51221),x51222),x51222)+P144(f822(f822(f227(x51221),x51222),f2(x51221)))
% 218.59/218.72 [5182]~P63(x51822)+~P144(f822(f55(x51822),x51821))+P144(f822(x51821,f740(x51821,x51822)))
% 218.59/218.72 [5183]~P63(x51832)+~P144(f822(f55(x51832),x51831))+P144(f822(x51831,f748(x51831,x51832)))
% 218.59/218.72 [5224]E(x52241,f108(x52242))+P144(f822(f129(x52242),f109(x52242,x52241)))+~P144(f822(f129(x52242),x52241))
% 218.59/218.72 [5229]~P92(x52291)+~P144(f822(f60(x52291),x52292))+P144(f822(f129(x52291),f131(x52291,x52292)))
% 218.59/218.72 [5230]~P92(x52301)+~P144(f822(f60(x52301),x52302))+P144(f822(f129(x52301),f739(x52302,x52301)))
% 218.59/218.72 [5234]P144(f822(x52341,x52342))+P144(f822(x52341,f341(x52342,x52341)))+~P144(f822(x52341,f2(a885)))
% 218.59/218.72 [5236]~P127(x52361)+E(f822(f95(x52361),f822(a100,x52362)),f822(f98(x52361),x52362))+P144(f822(f822(f227(a1),x52362),f2(a1)))
% 218.59/218.72 [5263]P9(x52632,x52631)+E(f822(x52631,f454(x52631)),f822(x52631,f475(x52631)))+P144(f822(f822(x52631,f454(x52631)),f475(x52631)))
% 218.59/218.72 [5277]E(f822(f95(a1),f455(x52771,x52772)),x52771)+P144(f822(x52772,f822(a100,x52771)))+~P144(f822(x52772,f2(a885)))
% 218.59/218.72 [5290]~P63(x52901)+~P144(f822(x52902,f756(x52902,x52901)))+P144(f822(f56(x52901),x52902))
% 218.59/218.72 [5291]~P63(x52911)+~P144(f822(x52912,f768(x52912,x52911)))+P144(f822(f56(x52911),x52912))
% 218.59/218.72 [5327]~P111(x53271)+~E(f81(x53271,x53272),f822(f78(x53271),f77(x53271)))+P144(f822(f822(f227(x53271),x53272),f2(x53271)))
% 218.59/218.72 [5402]~E(x54022,f2(a1))+E(f209(x54021,x54022),f822(f822(f243(a1,a1),f2(a1)),f77(a1)))+P144(f822(f822(f227(a1),x54022),f2(a1)))
% 218.59/218.72 [5403]~E(x54031,f2(a1))+E(f209(x54031,x54032),f822(f822(f243(a1,a1),f2(a1)),f77(a1)))+P144(f822(f822(f227(a1),x54032),f2(a1)))
% 218.59/218.72 [5426]~P144(f822(x54261,x54262))+~P144(f822(x54261,f324(x54262,x54261)))+P144(f822(x54261,f2(a885)))
% 218.59/218.72 [5455]E(f822(f95(a1),f455(x54551,x54552)),x54551)+P144(f822(x54552,f822(a100,x54551)))+P144(f822(f822(f227(a1),x54551),f2(a1)))
% 218.59/218.72 [5523]~P111(x55231)+E(f81(x55231,x55232),f822(f78(x55231),f77(x55231)))+~P144(f822(f822(f227(x55231),x55232),f2(x55231)))
% 218.59/218.72 [5524]~P84(x55241)+E(f822(f75(x55241),x55242),f822(f78(x55241),x55242))+~P144(f822(f822(f227(x55241),x55242),f2(x55241)))
% 218.59/218.72 [5525]~P84(x55251)+E(f822(f75(x55251),x55252),f822(f78(x55251),x55252))+~P144(f822(f822(f226(x55251),x55252),f2(x55251)))
% 218.59/218.72 [5526]~P71(x55261)+E(f822(f75(x55261),x55262),f822(f78(x55261),x55262))+~P144(f822(f822(f227(x55261),x55262),f2(x55261)))
% 218.59/218.72 [5626]~P144(f822(x56261,f455(x56262,x56261)))+P144(f822(x56261,f822(a100,x56262)))+~P144(f822(x56261,f2(a885)))
% 218.59/218.72 [5633]E(x56331,f2(a885))+E(f822(a107,f380(x56332,x56331)),x56331)+~P144(f822(f822(f227(a885),x56331),f822(a107,x56332)))
% 218.59/218.72 [5638]P9(x56381,x56382)+~E(f822(x56382,f454(x56382)),f822(x56382,f475(x56382)))+~P144(f822(f822(x56382,f454(x56382)),f475(x56382)))
% 218.59/218.72 [5656]~P92(x56561)+P15(x56561,x56562)+P144(f822(f822(f226(a885),f723(x56562,x56561)),f724(x56562,x56561)))
% 218.59/218.72 [5657]~P92(x56571)+P15(x56571,x56572)+P144(f822(f822(f226(a885),f730(x56572,x56571)),f735(x56572,x56571)))
% 218.59/218.72 [5744]~P84(x57441)+~E(x57442,f2(x57441))+P144(f822(f822(f226(x57441),f822(f75(x57441),x57442)),f2(x57441)))
% 218.59/218.72 [5841]~P144(f822(x58411,f455(x58412,x58411)))+P144(f822(x58411,f822(a100,x58412)))+P144(f822(f822(f227(a1),x58412),f2(a1)))
% 218.59/218.72 [5866]~P144(f822(x58661,f822(a100,x58662)))+P144(f822(x58661,f2(a885)))+~P144(f822(f822(f227(a1),x58662),f2(a1)))
% 218.59/218.72 [6223]~P111(x62231)+~P144(f822(f822(f227(x62231),x62232),f2(x62231)))+P144(f822(f822(f227(x62231),f81(x62231,x62232)),f2(x62231)))
% 218.59/218.72 [6343]~P111(x63431)+P144(f822(f822(f227(x63431),f822(f98(x63431),x63432)),f2(x63431)))+~P144(f822(f822(f227(a1),x63432),f2(a1)))
% 218.59/218.72 [6344]~P111(x63441)+P144(f822(f822(f226(x63441),f822(f98(x63441),x63442)),f2(x63441)))+~P144(f822(f822(f226(a1),x63442),f2(a1)))
% 218.59/218.72 [6353]~P84(x63532)+E(x63531,f2(x63532))+~P144(f822(f822(f226(x63532),f822(f75(x63532),x63531)),f2(x63532)))
% 218.59/218.72 [6438]~P127(x64381)+~P144(f822(f822(f318(x64381),x64382),f105(x64381)))+P144(f822(f822(f318(x64381),f822(f78(x64381),x64382)),f105(x64381)))
% 218.59/218.72 [6471]~P111(x64711)+~P144(f822(f822(f227(x64711),f81(x64711,x64712)),f2(x64711)))+P144(f822(f822(f227(x64711),x64712),f2(x64711)))
% 218.59/218.72 [6551]~P91(x65511)+P49(a885,x65511,f276(a885),x65512)+P144(f822(f822(f276(a885),f836(x65512,x65511)),f862(x65512,x65511)))
% 218.59/218.72 [6651]~P111(x66512)+~P144(f822(f822(f227(x66512),f822(f98(x66512),x66511)),f2(x66512)))+P144(f822(f822(f227(a1),x66511),f2(a1)))
% 218.59/218.72 [6652]~P111(x66522)+~P144(f822(f822(f226(x66522),f822(f98(x66522),x66521)),f2(x66522)))+P144(f822(f822(f226(a1),x66521),f2(a1)))
% 218.59/218.72 [7177]~P74(x71771)+~P144(f822(f822(f227(x71771),x71772),f2(x71771)))+P144(f822(f822(f227(x71771),f822(f822(f79(x71771),x71772),x71772)),f2(x71771)))
% 218.59/218.72 [7178]~P111(x71781)+~P144(f822(f822(f227(x71781),x71782),f2(x71781)))+P144(f822(f822(f227(x71781),f822(f822(f79(x71781),x71782),x71782)),f2(x71781)))
% 218.59/218.72 [7179]~P74(x71791)+~P144(f822(f822(f226(x71791),x71792),f2(x71791)))+P144(f822(f822(f226(x71791),f822(f822(f79(x71791),x71792),x71792)),f2(x71791)))
% 218.59/218.72 [7771]~P74(x77711)+~P144(f822(f822(f227(x77711),f822(f822(f79(x77711),x77712),x77712)),f2(x77711)))+P144(f822(f822(f227(x77711),x77712),f2(x77711)))
% 218.59/218.72 [7772]~P111(x77721)+~P144(f822(f822(f227(x77721),f822(f822(f79(x77721),x77722),x77722)),f2(x77721)))+P144(f822(f822(f227(x77721),x77722),f2(x77721)))
% 218.59/218.72 [7773]~P74(x77731)+~P144(f822(f822(f226(x77731),f822(f822(f79(x77731),x77732),x77732)),f2(x77731)))+P144(f822(f822(f226(x77731),x77732),f2(x77731)))
% 218.59/218.72 [4709]~E(x47092,f2(a885))+~E(x47091,f2(a885))+E(f822(f822(f79(a885),x47091),x47092),f2(a885))
% 218.59/218.72 [4710]~E(x47102,f77(a885))+~E(x47101,f77(a885))+E(f822(f822(f80(a885),x47101),x47102),f77(a885))
% 218.59/218.72 [4711]~E(x47112,f77(a1))+~E(x47111,f77(a1))+E(f822(f822(f80(a1),x47111),x47112),f77(a1))
% 218.59/218.72 [4766]~P5(x47662)+E(x47661,f2(x47662))+E(f822(f822(f35(x47662),x47661),x47661),f77(x47662))
% 218.59/218.72 [4767]~P121(x47672)+E(x47671,f2(x47672))+E(f822(f822(f280(x47672),x47671),x47671),f77(x47672))
% 218.59/218.72 [4768]~P122(x47682)+E(x47681,f2(x47682))+E(f822(f822(f280(x47682),x47681),x47681),f77(x47682))
% 218.59/218.72 [4786]~P74(x47861)+~E(x47862,f2(x47861))+E(f822(f822(f79(x47861),x47862),x47862),f2(x47861))
% 218.59/218.72 [4789]~P141(x47891)+~E(x47892,f77(x47891))+E(f822(f822(f80(x47891),x47892),x47892),f77(x47891))
% 218.59/218.72 [4790]~P122(x47901)+~E(x47902,f2(x47901))+E(f822(f822(f280(x47901),x47902),x47902),f2(x47901))
% 218.59/218.72 [4835]~E(x48352,f2(a885))+~E(x48351,f2(a885))+E(f822(f78(a1),f822(f95(a1),x48351)),f822(f95(a1),x48352))
% 218.59/218.72 [4854]E(x48541,f77(a885))+E(x48542,f2(a885))+~E(f822(f822(f80(a885),x48542),x48541),x48542)
% 218.59/218.72 [4866]E(x48661,f2(a885))+E(x48662,f2(a885))+~E(f822(f822(f80(a885),x48662),x48661),f2(a885))
% 218.59/218.72 [4893]~E(x48932,f2(a885))+~E(x48931,f822(a107,f2(a885)))+E(f822(f822(f79(a885),x48931),x48932),f822(a107,f2(a885)))
% 218.59/218.72 [4894]~E(x48941,f2(a885))+~E(x48942,f822(a107,f2(a885)))+E(f822(f822(f79(a885),x48941),x48942),f822(a107,f2(a885)))
% 218.59/218.72 [4901]E(x49011,f77(a1))+E(x49012,f822(f99(a1),a92))+~E(f822(f822(f80(a1),x49011),x49012),f77(a1))
% 218.59/218.72 [4902]E(x49021,f77(a1))+E(x49022,f822(f99(a1),a92))+~E(f822(f822(f80(a1),x49022),x49021),f77(a1))
% 218.59/218.72 [4903]E(x49031,f77(a1))+E(x49031,f822(f99(a1),a92))+~E(f822(f822(f80(a1),x49032),x49031),f77(a1))
% 218.59/218.72 [4905]E(x49051,f77(a1))+E(x49051,f822(f99(a1),a92))+~E(f822(f822(f80(a1),x49051),x49052),f77(a1))
% 218.59/218.72 [4930]~P74(x49302)+E(x49301,f2(x49302))+~E(f822(f822(f79(x49302),x49301),x49301),f2(x49302))
% 218.59/218.72 [4936]~E(x49361,f822(f99(a1),a92))+~E(x49362,f822(f99(a1),a92))+E(f822(f822(f80(a1),x49361),x49362),f77(a1))
% 218.59/218.72 [4947]E(x49471,f2(a885))+E(x49472,f2(a885))+~E(f822(f822(f79(a885),x49472),x49471),f822(a107,f2(a885)))
% 218.59/218.72 [4957]~P96(x49571)+~P64(x49571)+E(f822(f822(f280(x49571),x49572),f822(f99(x49571),a82)),f2(x49571))
% 218.59/218.72 [4964]~P141(x49641)+~E(x49642,f822(f78(x49641),f77(x49641)))+E(f822(f822(f80(x49641),x49642),x49642),f77(x49641))
% 218.59/218.72 [4969]~P8(x49692)+~P8(x49691)+P8(f822(f822(f79(a1),x49691),x49692))
% 218.59/218.72 [4970]~P8(x49702)+~P8(x49701)+P8(f822(f822(f80(a1),x49701),x49702))
% 218.59/218.72 [4971]~P8(x49712)+~P8(x49711)+P8(f822(f822(f35(a1),x49711),x49712))
% 218.59/218.72 [4973]~E(x49732,f2(a1))+E(x49731,f2(a1))+E(f45(x49731,x49732),f822(f822(f243(a1,a1),f2(a1)),x49731))
% 218.59/218.72 [4996]~E(x49962,f822(a107,f2(a885)))+~E(x49961,f822(a107,f2(a885)))+E(f822(f822(f80(a885),x49961),x49962),f822(a107,f2(a885)))
% 218.59/218.72 [5013]E(x50131,f2(a885))+E(x50132,f822(a107,f2(a885)))+~E(f822(f822(f235(a885),x50132),x50131),f822(a107,f2(a885)))
% 218.59/218.72 [5014]E(x50141,f2(a885))+E(x50141,f822(a107,f2(a885)))+~E(f822(f822(f79(a885),x50142),x50141),f822(a107,f2(a885)))
% 218.59/218.72 [5015]E(x50151,f2(a885))+E(x50151,f822(a107,f2(a885)))+~E(f822(f822(f79(a885),x50151),x50152),f822(a107,f2(a885)))
% 218.59/218.72 [5024]~P96(x50241)+~P64(x50241)+E(f822(f822(f280(x50241),x50242),f822(f99(x50241),a92)),f822(f78(x50241),x50242))
% 218.59/218.72 [5044]E(x50441,f822(a100,x50442))+~E(x50441,f2(a885))+P144(f822(f822(f226(a1),f2(a1)),x50442))
% 218.59/218.72 [5045]E(f822(a100,x50451),x50452)+~E(x50452,f2(a885))+P144(f822(f822(f226(a1),f2(a1)),x50451))
% 218.59/218.72 [5061]E(x50611,f822(a107,f2(a885)))+E(x50612,f822(a107,f2(a885)))+~E(f822(f822(f79(a885),x50611),x50612),f822(a107,f2(a885)))
% 218.59/218.72 [5073]~E(x50731,f822(a100,x50732))+E(x50731,f2(a885))+P144(f822(f822(f226(a1),f2(a1)),x50732))
% 218.59/218.72 [5074]~E(f822(a100,x50742),x50741)+E(x50741,f2(a885))+P144(f822(f822(f226(a1),f2(a1)),x50742))
% 218.59/218.72 [5097]~P100(x50971)+E(f822(f62(x50971,f96(x50971)),x50972),f15(x50971,x50972))+~P144(f822(f60(x50971),x50972))
% 218.59/218.72 [5098]~P92(x50981)+E(f822(f62(x50981,f181(x50981)),x50982),f16(x50981,x50982))+~P144(f822(f60(x50981),x50982))
% 218.59/218.72 [5099]~P92(x50991)+E(f822(f62(x50991,f230(x50991)),x50992),f17(x50991,x50992))+~P144(f822(f60(x50991),x50992))
% 218.59/218.72 [5100]~P100(x51001)+E(f822(f62(x51001,f97(x51001)),x51002),f12(x51001,x51002))+~P144(f822(f60(x51001),x51002))
% 218.59/218.72 [5177]E(x51771,x51772)+~E(f822(f822(f3(a885),x51772),x51771),f2(a885))+~E(f822(f822(f3(a885),x51771),x51772),f2(a885))
% 218.59/218.72 [5194]P8(x51941)+~P39(x51942)+~P144(f822(f822(f318(a1),x51941),x51942))
% 218.59/218.72 [5225]~P111(x52251)+~E(f81(x52251,x52252),f77(x52251))+P144(f822(f822(f227(x52251),f2(x52251)),x52252))
% 218.59/218.72 [5237]~P96(x52371)+E(f822(f95(x52371),f822(f99(a885),x52372)),f822(f99(x52371),x52372))+P144(f822(a187,f822(f99(a1),x52372)))
% 218.59/218.72 [5242]~P44(x52421,x52422)+P45(a882)+P144(f822(f60(f891(x52421,x52421)),x52422))
% 218.59/218.72 [5318]~P92(x53181)+E(f822(f62(x53181,f181(x53181)),x53182),f13(x53181,f181(x53181),x53182))+~P144(f822(f60(x53181),x53182))
% 218.59/218.72 [5319]~P92(x53191)+E(f822(f62(x53191,f230(x53191)),x53192),f14(x53191,f230(x53191),x53192))+~P144(f822(f60(x53191),x53192))
% 218.59/218.72 [5334]E(x53341,x53342)+P144(f822(f822(f227(a885),x53342),x53341))+P144(f822(f822(f227(a885),x53341),x53342))
% 218.59/218.72 [5335]E(x53351,x53352)+P144(f822(f822(f227(a1),x53352),x53351))+P144(f822(f822(f227(a1),x53351),x53352))
% 218.59/218.72 [5389]~P96(x53891)+E(f822(f95(x53891),f822(f99(a885),x53892)),f2(x53891))+~P144(f822(a187,f822(f99(a1),x53892)))
% 218.59/218.72 [5392]~E(x53922,f822(a100,x53921))+E(x53921,f822(f95(a1),x53922))+~P144(f822(f822(f226(a1),f2(a1)),x53921))
% 218.59/218.72 [5393]~E(f822(a100,x53931),x53932)+E(x53931,f822(f95(a1),x53932))+~P144(f822(f822(f226(a1),f2(a1)),x53931))
% 218.59/218.72 [5394]~E(x53941,f822(a100,x53942))+E(f822(f95(a1),x53941),x53942)+~P144(f822(f822(f226(a1),f2(a1)),x53942))
% 218.59/218.72 [5404]E(x54041,f822(a100,x54042))+~E(x54042,f822(f95(a1),x54041))+~P144(f822(f822(f226(a1),f2(a1)),x54042))
% 218.59/218.72 [5405]E(f822(a100,x54051),x54052)+~E(x54051,f822(f95(a1),x54052))+~P144(f822(f822(f226(a1),f2(a1)),x54051))
% 218.59/218.72 [5435]~P112(x54352)+E(x54351,f2(x54352))+~P144(f822(f822(f276(x54352),f2(x54352)),x54351))
% 218.59/218.72 [5446]~P84(x54462)+E(x54461,f2(x54462))+P144(f822(f822(f227(x54462),f2(x54462)),f822(f75(x54462),x54461)))
% 218.59/218.72 [5510]~P111(x55101)+E(f81(x55101,x55102),f77(x55101))+~P144(f822(f822(f227(x55101),f2(x55101)),x55102))
% 218.59/218.72 [5516]~P96(x55161)+E(f822(f95(x55161),f822(f99(a885),x55162)),f2(x55161))+P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x55162)))
% 218.59/218.72 [5527]~P84(x55271)+E(f822(f75(x55271),x55272),x55272)+~P144(f822(f822(f227(x55271),f2(x55271)),x55272))
% 218.59/218.72 [5528]~P84(x55281)+E(f822(f75(x55281),x55282),x55282)+~P144(f822(f822(f226(x55281),f2(x55281)),x55282))
% 218.59/218.72 [5537]E(x55371,f2(a885))+~E(f131(a885,f822(f291(a885,x55372),x55371)),f108(a885))+P144(f822(f822(f226(a885),x55371),x55372))
% 218.59/218.72 [5547]~P72(x55471)+E(f822(f822(f8(x55471,x55471),f7(x55471)),f822(f164(x55471),x55472)),f822(f157(x55471),x55472))+~P144(f822(f129(x55471),x55472))
% 218.59/218.72 [5550]~P127(x55501)+E(f822(f95(x55501),f822(a100,x55502)),f822(f98(x55501),x55502))+~P144(f822(f822(f226(a1),f2(a1)),x55502))
% 218.59/218.72 [5577]E(x55771,x55772)+P144(f822(f822(f227(a885),x55771),x55772))+~P144(f822(f822(f226(a885),x55771),x55772))
% 218.59/218.72 [5578]E(x55781,x55782)+P144(f822(f822(f227(a1),x55781),x55782))+~P144(f822(f822(f226(a1),x55781),x55782))
% 218.59/218.72 [5581]E(x55811,f77(a1))+~E(f822(f822(f80(a1),x55812),x55811),f77(a1))+~P144(f822(f822(f227(a1),f2(a1)),x55812))
% 218.59/218.72 [5582]E(x55821,f77(a1))+~E(f822(f822(f80(a1),x55821),x55822),f77(a1))+~P144(f822(f822(f227(a1),f2(a1)),x55821))
% 218.59/218.72 [5623]~P39(x56232)+P144(f822(f822(f226(a1),f2(a1)),x56231))+~P144(f822(f822(f318(a1),x56231),x56232))
% 218.59/218.72 [5634]~P144(f822(x56341,x56342))+P144(f822(x56341,f2(a885)))+P144(f822(x56341,f822(a107,f324(x56342,x56341))))
% 218.59/218.72 [5643]~P59(x56431,x56432)+P36(x56431,x56432)+~P144(f822(f60(f891(x56431,x56431)),x56432))
% 218.59/218.72 [5645]~P59(x56451,x56452)+P44(x56451,x56452)+~P144(f822(f60(f891(x56451,x56451)),x56452))
% 218.59/218.72 [5687]E(x56871,f182(f892(x56872,a882)))+~P144(f822(f60(x56872),x56871))+P144(f822(f822(f227(a885),f2(a885)),f822(f34(x56872),x56871)))
% 218.59/218.72 [5714]~P144(f822(x57141,x57142))+P144(f822(x57141,f2(a885)))+P144(f822(f822(f227(a885),f590(x57142,x57141)),x57142))
% 218.59/218.72 [5737]E(x57371,f2(a885))+~E(f822(f157(a885),x57372),f2(a885))+~P144(f822(f822(f318(a885),x57371),f822(f164(a885),x57372)))
% 218.59/218.72 [5802]~E(x58022,f2(a885))+P144(f822(f822(f226(a1),f2(a1)),x58021))+P144(f822(f822(f276(a885),f822(a100,x58021)),x58022))
% 218.59/218.72 [5805]E(x58051,x58052)+~P144(f822(f822(f226(a885),x58052),x58051))+~P144(f822(f822(f226(a885),x58051),x58052))
% 218.59/218.72 [5806]E(x58061,x58062)+~P144(f822(f822(f226(a1),x58062),x58061))+~P144(f822(f822(f226(a1),x58061),x58062))
% 218.59/218.72 [5815]E(x58151,x58152)+~P144(f822(f822(f276(a885),x58152),x58151))+~P144(f822(f822(f276(a885),x58151),x58152))
% 218.59/218.72 [5817]E(f822(f34(x58171),x58172),f2(a885))+~P144(f822(f60(x58171),x58172))+P144(f822(f822(f318(x58171),f578(x58172,x58171)),x58172))
% 218.59/218.72 [5826]E(f49(x58261,x58262),f45(x58261,x58262))+P144(f822(f822(f226(a1),f2(a1)),x58261))+~P144(f822(f822(f227(a1),f2(a1)),x58262))
% 218.59/218.72 [5855]~P144(f822(x58551,f529(x58551)))+P144(f822(x58551,f822(a100,x58552)))+~P144(f822(f822(f226(a1),f2(a1)),x58552))
% 218.59/218.72 [5857]P144(f822(f822(f227(a885),x58571),f359(x58572)))+~P144(f822(f60(a885),x58572))+~P144(f822(f822(f318(a885),x58571),x58572))
% 218.59/218.72 [5858]P144(f822(f822(f226(a885),x58581),f364(x58582)))+~P144(f822(f60(a885),x58582))+~P144(f822(f822(f318(a885),x58581),x58582))
% 218.59/218.72 [5887]E(x58871,x58872)+~P144(f822(f822(f227(a885),x58871),f822(a107,x58872)))+P144(f822(f822(f227(a885),x58871),x58872))
% 218.59/218.72 [5923]E(x59231,f822(a107,x59232))+~P144(f822(f822(f226(a885),x59231),f822(a107,x59232)))+P144(f822(f822(f226(a885),x59231),x59232))
% 218.59/218.72 [5939]P144(f822(x59391,f558(x59391)))+~P144(f822(x59391,f822(a100,x59392)))+~P144(f822(f822(f226(a1),f2(a1)),x59392))
% 218.59/218.72 [5941]E(f822(f75(a1),x59411),f822(f75(a1),x59412))+~P144(f822(f822(f276(a1),x59412),x59411))+~P144(f822(f822(f276(a1),x59411),x59412))
% 218.59/218.72 [5955]~P144(f822(x59551,x59552))+~P144(f822(f822(f226(a1),f2(a1)),x59552))+P144(f822(x59551,f822(f95(a1),f498(x59551))))
% 218.59/218.72 [5966]~P84(x59662)+~E(x59661,f2(x59662))+~P144(f822(f822(f227(x59662),f2(x59662)),f822(f75(x59662),x59661)))
% 218.59/218.72 [5992]~P59(x59921,x59922)+P36(x59921,f822(f275(x59921,x59921),x59922))+~P144(f822(f60(f891(x59921,x59921)),x59922))
% 218.59/218.72 [6001]~P96(x60011)+E(f822(f95(x60011),f822(f99(a885),x60012)),f822(f99(x60011),x60012))+~P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x60012)))
% 218.59/218.72 [6004]E(f822(a107,x60041),x60042)+~P144(f822(f822(f227(a885),x60041),x60042))+P144(f822(f822(f227(a885),f822(a107,x60041)),x60042))
% 218.59/218.72 [6020]E(f822(f822(f35(a1),x60201),x60202),f2(a1))+~P144(f822(f822(f226(a1),x60201),f2(a1)))+~P144(f822(f822(f227(a1),x60202),x60201))
% 218.59/218.72 [6032]E(f44(a1,x60321,x60322),x60321)+~P144(f822(f822(f226(a1),x60321),f2(a1)))+~P144(f822(f822(f227(a1),x60322),x60321))
% 218.59/218.72 [6046]E(f46(x60461,x60462),f45(x60461,x60462))+~P144(f822(f822(f226(a1),f2(a1)),x60461))+~P144(f822(f822(f226(a1),f2(a1)),x60462))
% 218.59/218.72 [6056]E(f822(f822(f35(a1),x60561),x60562),f2(a1))+~P144(f822(f822(f226(a1),f2(a1)),x60561))+~P144(f822(f822(f227(a1),x60561),x60562))
% 218.59/218.72 [6067]E(f44(a885,f822(f99(a885),x60671),f822(f99(a885),x60672)),f822(f99(a885),x60671))+P144(f822(a187,f822(f99(a1),x60671)))+~P144(f822(a187,f822(f99(a1),x60672)))
% 218.59/218.72 [6069]E(f44(a1,x60691,x60692),x60691)+~P144(f822(f822(f226(a1),f2(a1)),x60691))+~P144(f822(f822(f227(a1),x60691),x60692))
% 218.59/218.72 [6070]P144(f822(x60701,x60702))+~P144(f822(x60701,f2(a885)))+~P144(f822(x60701,f822(a107,f341(x60702,x60701))))
% 218.59/218.72 [6072]E(x60721,x60722)+~P144(f822(f822(f227(a885),x60721),f822(a107,x60722)))+~P144(f822(f822(f226(a885),x60722),x60721))
% 218.59/218.72 [6086]~P111(x60861)+~P144(f822(f822(f227(x60861),x60862),f2(x60861)))+P144(f822(f822(f227(x60861),x60862),f822(f78(x60861),x60862)))
% 218.59/218.72 [6087]~P74(x60871)+~P144(f822(f822(f226(x60871),x60872),f2(x60871)))+P144(f822(f822(f226(x60871),x60872),f822(f78(x60871),x60872)))
% 218.59/218.72 [6096]~P7(x60961)+E(f822(f822(f63(x60961,x60961,f97(x60961)),f233(x60961)),x60962),f37(x60961,x60962))+~P144(f822(f60(x60961),x60962))
% 218.59/218.72 [6097]~P7(x60971)+E(f822(f822(f63(x60971,x60971,f96(x60971)),f182(x60971)),x60972),f36(x60971,x60972))+~P144(f822(f60(x60971),x60972))
% 218.59/218.72 [6114]~P90(x61141)+~P144(f822(f822(f227(a885),f2(a885)),x61142))+P144(f822(f822(f227(x61141),f2(x61141)),f822(f95(x61141),x61142)))
% 218.59/218.72 [6115]~P111(x61151)+~P144(f822(f822(f227(a1),f2(a1)),x61152))+P144(f822(f822(f227(x61151),f2(x61151)),f822(f98(x61151),x61152)))
% 218.59/218.72 [6116]~P111(x61161)+~P144(f822(f822(f226(a1),f2(a1)),x61162))+P144(f822(f822(f226(x61161),f2(x61161)),f822(f98(x61161),x61162)))
% 218.59/218.72 [6119]~P8(x61192)+~P8(x61191)+E(f822(f299(a885,a1,f95(a1)),f292(a885,f822(a100,x61191),f822(a100,x61192))),f292(a1,x61191,x61192))
% 218.59/218.72 [6125]P144(f822(x61251,x61252))+~P144(f822(f822(f226(a1),f2(a1)),x61252))+~P144(f822(x61251,f822(f95(a1),f499(x61251))))
% 218.59/218.72 [6158]E(f822(f822(f79(a885),f822(f99(a885),x61581)),f822(f99(a885),x61582)),f822(f99(a885),x61581))+P144(f822(f822(f227(a1),x61581),a82))+~P144(f822(f822(f227(a1),x61582),a82))
% 218.59/218.72 [6162]~P111(x61621)+P144(f822(f822(f227(x61621),f2(x61621)),f81(x61621,x61622)))+~P144(f822(f822(f227(x61621),f2(x61621)),x61622))
% 218.59/218.72 [6176]~P80(x61761)+~P144(f822(f822(f227(x61761),x61762),f2(x61761)))+P144(f822(f822(f227(x61761),f2(x61761)),f822(f78(x61761),x61762)))
% 218.59/218.72 [6177]~P80(x61771)+~P144(f822(f822(f226(x61771),x61772),f2(x61771)))+P144(f822(f822(f226(x61771),f2(x61771)),f822(f78(x61771),x61772)))
% 218.59/218.72 [6180]E(x61801,f2(a885))+P144(f822(f822(f226(a1),f2(a1)),x61802))+~P144(f822(f822(f276(a885),f822(a100,x61802)),x61801))
% 218.59/218.72 [6181]E(x61811,f233(f892(x61812,a882)))+~E(f822(f34(x61812),x61811),f822(f34(x61812),f233(f892(x61812,a882))))+~P144(f822(f60(x61812),f233(f892(x61812,a882))))
% 218.59/218.72 [6207]~P144(f822(f822(f227(a885),f2(a885)),x62072))+~P144(f822(f822(f276(a885),x62071),x62072))+P144(f822(f822(f226(a885),x62071),x62072))
% 218.59/218.72 [6208]~P144(f822(f822(f227(a1),f2(a1)),x62082))+~P144(f822(f822(f276(a1),x62081),x62082))+P144(f822(f822(f226(a1),x62081),x62082))
% 218.59/218.72 [6215]~P111(x62151)+P144(f822(f822(f227(x62151),x62152),f2(x62151)))+~P144(f822(f822(f227(x62151),x62152),f822(f78(x62151),x62152)))
% 218.59/218.72 [6216]~P74(x62161)+P144(f822(f822(f226(x62161),x62162),f2(x62161)))+~P144(f822(f822(f226(x62161),x62162),f822(f78(x62161),x62162)))
% 218.59/218.72 [6225]~P96(x62251)+P144(f822(f822(f318(x62251),f822(f99(x62251),x62252)),f178(x62251)))+~P144(f822(f822(f226(a1),a82),x62252))
% 218.59/218.72 [6254]E(x62541,f2(a885))+~P144(f822(f822(f227(a885),x62541),f822(a107,x62542)))+P144(f822(f822(f227(a885),f380(x62542,x62541)),x62542))
% 218.59/218.72 [6278]~P111(x62781)+~P144(f822(f822(f227(x62781),f2(x62781)),f81(x62781,x62782)))+P144(f822(f822(f227(x62781),f2(x62781)),x62782))
% 218.59/218.72 [6280]~E(f822(f99(a885),x62802),f822(f99(a885),x62801))+P144(f822(f822(f226(a1),f822(f99(a1),x62801)),f2(a1)))+~P144(f822(a187,f822(f99(a1),x62802)))
% 218.59/218.72 [6309]E(f822(f242(a1,a1),f49(x63091,x63092)),f822(f822(f35(a1),x63091),x63092))+~P144(f822(f822(f227(a1),x63091),f2(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x63092))
% 218.59/218.72 [6350]E(f822(f247(a1,a1),f49(x63501,x63502)),f44(a1,x63501,x63502))+~P144(f822(f822(f227(a1),x63501),f2(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x63502))
% 218.59/218.72 [6352]E(x63521,f2(a1))+~P144(f822(f822(f276(a1),x63522),x63521))+P144(f822(f822(f226(a1),f822(f75(a1),x63522)),f822(f75(a1),x63521)))
% 218.59/218.72 [6354]~P90(x63542)+~P144(f822(f822(f227(x63542),f2(x63542)),f822(f95(x63542),x63541)))+P144(f822(f822(f227(a885),f2(a885)),x63541))
% 218.59/218.72 [6355]~P111(x63552)+~P144(f822(f822(f227(x63552),f2(x63552)),f822(f98(x63552),x63551)))+P144(f822(f822(f227(a1),f2(a1)),x63551))
% 218.59/218.72 [6356]~P111(x63562)+~P144(f822(f822(f226(x63562),f2(x63562)),f822(f98(x63562),x63561)))+P144(f822(f822(f226(a1),f2(a1)),x63561))
% 218.59/218.72 [6360]~E(x63602,f2(a885))+P144(f822(f822(f276(a885),f822(a100,x63601)),x63602))+~P144(f822(f822(f276(a1),x63601),f822(f95(a1),x63602)))
% 218.59/218.72 [6361]E(f822(f242(a1,a1),f46(x63611,x63612)),f822(f822(f35(a1),x63611),x63612))+~P144(f822(f822(f227(a1),f2(a1)),x63611))+~P144(f822(f822(f226(a1),f2(a1)),x63612))
% 218.59/218.72 [6376]E(f822(f247(a1,a1),f46(x63761,x63762)),f44(a1,x63761,x63762))+~P144(f822(f822(f227(a1),f2(a1)),x63761))+~P144(f822(f822(f226(a1),f2(a1)),x63762))
% 218.59/218.72 [6392]~P80(x63921)+P144(f822(f822(f227(x63921),x63922),f2(x63921)))+~P144(f822(f822(f227(x63921),f2(x63921)),f822(f78(x63921),x63922)))
% 218.59/218.72 [6393]~P80(x63931)+P144(f822(f822(f226(x63931),x63932),f2(x63931)))+~P144(f822(f822(f226(x63931),f2(x63931)),f822(f78(x63931),x63932)))
% 218.59/218.72 [6420]P144(f822(f48(x64201,x64202),f49(x64201,x64202)))+~P144(f822(f822(f227(a1),x64201),f2(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x64202))
% 218.59/218.72 [6436]~P144(f822(f822(f227(a885),f2(a885)),x64361))+~P144(f822(f822(f276(a885),x64362),x64361))+~P144(f822(f822(f227(a885),x64361),x64362))
% 218.59/218.72 [6437]~P144(f822(f822(f227(a1),f2(a1)),x64371))+~P144(f822(f822(f276(a1),x64372),x64371))+~P144(f822(f822(f227(a1),x64371),x64372))
% 218.59/218.72 [6450]P144(f822(f48(x64501,x64502),f46(x64501,x64502)))+~P144(f822(f822(f227(a1),f2(a1)),x64502))+~P144(f822(f822(f226(a1),f2(a1)),x64501))
% 218.59/218.72 [6494]~P80(x64941)+P144(f822(f822(f227(x64941),f822(f78(x64941),x64942)),f2(x64941)))+~P144(f822(f822(f227(x64941),f2(x64941)),x64942))
% 218.59/218.72 [6495]~P80(x64951)+P144(f822(f822(f226(x64951),f822(f78(x64951),x64952)),f2(x64951)))+~P144(f822(f822(f226(x64951),f2(x64951)),x64952))
% 218.59/218.72 [6516]E(f822(f822(f3(a885),f822(a100,x65161)),f822(a100,x65162)),f822(a100,f188(x65161,x65162)))+~P144(f822(f822(f226(a1),f2(a1)),x65162))+~P144(f822(f822(f226(a1),f2(a1)),x65161))
% 218.59/218.72 [6534]P144(f822(f822(f226(a1),f2(a1)),f188(x65341,x65342)))+~P144(f822(f822(f226(a1),f2(a1)),x65342))+~P144(f822(f822(f226(a1),f2(a1)),x65341))
% 218.59/218.72 [6572]~P144(f822(x65721,x65722))+P144(f822(x65721,f2(a885)))+P144(f822(x65721,f822(f822(f79(a885),f590(x65722,x65721)),f77(a885))))
% 218.59/218.72 [6659]E(f822(f99(a885),x66591),f822(f99(a885),x66592))+~P144(f822(f822(f226(a1),f822(f99(a1),x66592)),f2(a1)))+~P144(f822(a187,f822(f99(a1),x66591)))
% 218.59/218.72 [6673]~E(x66731,f2(a885))+~E(f702(x66732,x66731),f2(a885))+E(f822(f134(a885,a885,f79(a885),x66731),x66732),f2(a885))
% 218.59/218.72 [6699]~P144(f822(f60(x66991),f611(x66992,x66991)))+~P144(f822(f60(f892(x66991,a882)),x66992))+P144(f822(f60(x66991),f36(f892(x66991,a882),x66992)))
% 218.59/218.72 [6705]E(x67051,x67052)+P144(f822(f822(f227(a1),x67051),x67052))+~P144(f822(f822(f227(a1),x67051),f822(f822(f79(a1),x67052),f77(a1))))
% 218.59/218.72 [6707]P144(f822(f822(f227(a885),f822(a100,x67071)),f822(a100,x67072)))+~P144(f822(f822(f227(a1),f2(a1)),x67072))+~P144(f822(f822(f227(a1),x67071),x67072))
% 218.59/218.72 [6708]P144(f822(f822(f227(a885),f822(a100,x67081)),f822(a100,x67082)))+~P144(f822(f822(f226(a1),f2(a1)),x67081))+~P144(f822(f822(f227(a1),x67081),x67082))
% 218.59/218.72 [6709]P144(f822(f822(f226(a885),f822(a100,x67091)),f822(a100,x67092)))+~P144(f822(f822(f227(a1),f2(a1)),x67091))+~P144(f822(f822(f226(a1),x67091),x67092))
% 218.59/218.72 [6710]P144(f822(f822(f226(a885),f822(a100,x67101)),f822(a100,x67102)))+~P144(f822(f822(f226(a1),f2(a1)),x67102))+~P144(f822(f822(f226(a1),x67101),x67102))
% 218.59/218.72 [6721]E(f44(a885,f822(a100,x67211),f822(a100,x67212)),f822(a100,f44(a1,x67211,x67212)))+~P144(f822(f822(f226(a1),f2(a1)),x67212))+~P144(f822(f822(f226(a1),f2(a1)),x67211))
% 218.59/218.72 [6744]~P80(x67441)+~P144(f822(f822(f227(x67441),f822(f78(x67441),x67442)),f2(x67441)))+P144(f822(f822(f227(x67441),f2(x67441)),x67442))
% 218.59/218.72 [6745]~P80(x67451)+~P144(f822(f822(f226(x67451),f822(f78(x67451),x67452)),f2(x67451)))+P144(f822(f822(f226(x67451),f2(x67451)),x67452))
% 218.59/218.72 [6761]~P144(f822(f822(f227(a1),a82),x67612))+~P144(f822(f822(f227(a1),x67611),x67612))+P144(f822(f822(f227(a885),f822(f99(a885),x67611)),f822(f99(a885),x67612)))
% 218.59/218.72 [6856]~P144(f822(f822(f226(a1),f2(a1)),x68561))+P144(f822(f822(f227(a885),f822(a100,x68561)),x68562))+~P144(f822(f822(f227(a1),x68561),f822(f95(a1),x68562)))
% 218.59/218.72 [6857]~P144(f822(f822(f226(a1),f2(a1)),x68571))+P144(f822(f822(f276(a885),f822(a100,x68571)),x68572))+~P144(f822(f822(f276(a1),x68571),f822(f95(a1),x68572)))
% 218.59/218.72 [6872]E(x68721,f2(a1))+E(f44(a1,x68722,x68721),f2(a1))+E(f822(f822(f3(a1),f822(f78(a1),f822(f822(f35(a1),x68722),x68721))),f77(a1)),f822(f822(f35(a1),x68722),f822(f78(a1),x68721)))
% 218.59/218.72 [6887]~P144(f822(f822(f226(a1),f2(a1)),x68871))+~P144(f822(f822(f227(a885),f822(a100,x68871)),x68872))+P144(f822(f822(f227(a1),x68871),f822(f95(a1),x68872)))
% 218.59/218.72 [6888]~P144(f822(f822(f226(a1),f2(a1)),x68881))+~P144(f822(f822(f276(a885),f822(a100,x68881)),x68882))+P144(f822(f822(f276(a1),x68881),f822(f95(a1),x68882)))
% 218.59/218.72 [6926]~P144(f822(f822(f226(a885),f822(a100,x69261)),f822(a100,x69262)))+~P144(f822(f822(f227(a1),f2(a1)),x69261))+P144(f822(f822(f226(a1),x69261),x69262))
% 218.59/218.72 [6927]~P144(f822(f822(f226(a885),f822(a100,x69271)),f822(a100,x69272)))+~P144(f822(f822(f226(a1),f2(a1)),x69272))+P144(f822(f822(f226(a1),x69271),x69272))
% 218.59/218.72 [6958]P144(f822(f822(f226(a1),x69581),x69582))+~P144(f822(f822(f226(a885),f822(f99(a885),x69581)),f822(f99(a885),x69582)))+P144(f822(f822(f226(a1),x69581),a82))
% 218.59/218.72 [6986]P144(f822(f822(f226(a1),f2(a1)),f44(a1,x69861,x69862)))+~P144(f822(f822(f226(a1),f2(a1)),x69862))+~P144(f822(f822(f226(a1),f2(a1)),x69861))
% 218.59/218.72 [7085]P144(f822(f822(f227(a1),a82),x70851))+~P144(f822(f822(f227(a1),x70852),x70851))+~P144(f822(f822(f227(a885),f822(f99(a885),x70852)),f822(f99(a885),x70851)))
% 218.59/218.72 [7139]E(f822(f822(f243(a1,a1),f822(f822(f35(a1),x71391),x71392)),f44(a1,x71391,x71392)),f49(x71391,x71392))+~P144(f822(f822(f227(a1),x71391),f2(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x71392))
% 218.59/218.72 [7159]E(f822(f822(f243(a1,a1),f822(f822(f35(a1),x71591),x71592)),f44(a1,x71591,x71592)),f46(x71591,x71592))+~P144(f822(f822(f226(a1),f2(a1)),x71592))+~P144(f822(f822(f226(a1),f2(a1)),x71591))
% 218.59/218.72 [7214]~P98(x72142)+E(x72141,f108(x72142))+E(f822(f134(x72142,x72142,f80(x72142),f822(f133(x72142),x72141)),f822(f163(x72142),x72141)),f822(f62(x72142,f80(x72142)),f822(f164(x72142),x72141)))
% 218.59/218.72 [7333]~E(x73331,f2(a885))+E(f822(f134(a885,a885,f79(a885),x73331),x73332),f2(a885))+P144(f822(f822(f318(a885),f702(x73332,x73331)),f822(f164(a885),x73332)))
% 218.59/218.72 [7388]~P144(f822(f822(f227(a1),x73882),f2(a1)))+P144(f822(f822(f227(a1),f822(f822(f35(a1),x73881),x73882)),f2(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x73881))
% 218.59/218.72 [7390]~P144(f822(f822(f227(a1),x73901),f2(a1)))+P144(f822(f822(f227(a1),f822(f822(f35(a1),x73901),x73902)),f2(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x73902))
% 218.59/218.72 [7391]~P144(f822(f822(f227(a1),x73912),f2(a1)))+P144(f822(f822(f226(a1),f822(f822(f35(a1),x73911),x73912)),f2(a1)))+~P144(f822(f822(f226(a1),f2(a1)),x73911))
% 218.59/218.72 [7392]~P144(f822(f822(f226(a1),x73921),f2(a1)))+P144(f822(f822(f226(a1),f822(f822(f35(a1),x73921),x73922)),f2(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x73922))
% 218.59/218.72 [7400]P144(f822(f822(f318(f892(x74001,a882)),f611(x74002,x74001)),x74002))+~P144(f822(f60(f892(x74001,a882)),x74002))+P144(f822(f60(x74001),f36(f892(x74001,a882),x74002)))
% 218.59/218.72 [7498]P26(x74981,x74981,x74982,f233(f892(x74981,a882)))+~E(f822(f299(x74981,x74981,x74982),f233(f892(x74981,a882))),f233(f892(x74981,a882)))+~P144(f822(f60(x74981),f233(f892(x74981,a882))))
% 218.59/218.72 [7625]~P26(x76251,x76251,x76252,f233(f892(x76251,a882)))+E(f822(f299(x76251,x76251,x76252),f233(f892(x76251,a882))),f233(f892(x76251,a882)))+~P144(f822(f60(x76251),f233(f892(x76251,a882))))
% 218.59/218.72 [7765]E(f822(f822(f35(a1),x77651),x77652),f822(f99(a1),a92))+~P144(f822(f822(f226(a1),f822(f822(f79(a1),x77651),x77652)),f2(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x77651))
% 218.59/218.72 [7822]~P144(f822(f822(f227(a1),x78222),f2(a1)))+~P144(f822(f822(f227(a1),f822(f822(f35(a1),x78221),x78222)),f2(a1)))+P144(f822(f822(f227(a1),f2(a1)),x78221))
% 218.59/218.72 [7827]E(f822(f822(f79(a1),x78271),x78272),f44(a1,x78271,x78272))+~P144(f822(f822(f226(a1),f822(f822(f79(a1),x78271),x78272)),f2(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x78271))
% 218.59/218.72 [7830]P144(f822(f822(f227(a1),x78301),f2(a1)))+~P144(f822(f822(f227(a1),f822(f822(f35(a1),x78301),x78302)),f2(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x78302))
% 218.59/218.72 [8088]~P91(x80881)+P49(a885,x80881,f276(a885),x80882)+~P144(f822(f822(f226(x80881),f822(x80882,f836(x80882,x80881))),f822(x80882,f862(x80882,x80881))))
% 218.59/218.72 [8526]~P92(x85261)+P15(x85261,x85262)+~P144(f822(f822(f226(x85261),f822(f822(f156(x85261),x85262),f723(x85262,x85261))),f822(f822(f156(x85261),x85262),f724(x85262,x85261))))
% 218.59/218.72 [8527]~P92(x85271)+P15(x85271,x85272)+~P144(f822(f822(f226(x85271),f822(f822(f156(x85271),x85272),f730(x85272,x85271))),f822(f822(f156(x85271),x85272),f735(x85272,x85271))))
% 218.59/218.72 [5680]E(x56801,f2(a1))+~E(f44(a1,x56802,x56801),f2(a1))+E(f822(f822(f35(a1),x56802),f822(f78(a1),x56801)),f822(f78(a1),f822(f822(f35(a1),x56802),x56801)))
% 218.59/218.72 [5698]~P39(x56982)+~P39(x56981)+P39(f822(f822(f96(f892(a1,a882)),x56981),x56982))
% 218.59/218.72 [5699]~P39(x56992)+~P39(x56991)+P39(f822(f822(f97(f892(a1,a882)),x56991),x56992))
% 218.59/218.72 [5717]~P96(x57171)+~P64(x57171)+E(f822(f78(x57171),f822(f822(f280(x57171),f77(x57171)),x57172)),f822(f822(f280(x57171),f822(f99(x57171),a92)),x57172))
% 218.59/218.72 [5847]E(x58471,f2(a1))+~E(f44(a1,x58472,x58471),f2(a1))+E(f822(f822(f35(a1),f822(f78(a1),x58472)),x58471),f822(f78(a1),f822(f822(f35(a1),x58472),x58471)))
% 218.59/218.72 [5986]~P92(x59861)+P15(x59861,x59862)+P144(f822(f822(f227(a885),f724(x59862,x59861)),f822(f183(f887(x59861)),x59862)))
% 218.59/218.72 [5987]~P92(x59871)+P15(x59871,x59872)+P144(f822(f822(f227(a885),f735(x59872,x59871)),f822(f183(f887(x59871)),x59872)))
% 218.59/218.72 [6152]~P96(x61521)+~E(f822(f99(x61521),x61522),f2(x61521))+P28(x61521,f822(f99(x61521),f822(f822(f79(a1),x61522),f822(f78(a1),a82))))
% 218.59/218.72 [6153]~P96(x61531)+~E(f822(f99(x61531),x61532),f2(x61531))+P28(x61531,f822(f99(x61531),f822(f822(f79(a1),a82),f822(f78(a1),x61532))))
% 218.59/218.72 [6155]E(f822(a50,f46(f822(f78(a1),x61551),f822(f78(a1),x61552))),f45(x61551,x61552))+P144(f822(f822(f227(a1),f2(a1)),x61552))+P144(f822(f822(f226(a1),f2(a1)),x61551))
% 218.59/218.72 [6286]~E(x62862,f2(a885))+~E(x62861,f2(a885))+P144(f822(f822(f226(a1),f822(f95(a1),x62861)),f822(f78(a1),f822(f95(a1),x62862))))
% 218.59/218.72 [6315]E(f822(f822(f79(a885),f822(f99(a885),x63151)),f822(f99(a885),x63152)),f822(f99(a885),f822(f822(f79(a1),x63151),x63152)))+P144(f822(f822(f227(a1),x63151),a82))+P144(f822(f822(f227(a1),x63152),a82))
% 218.59/218.72 [6459]~P74(x64591)+~P144(f822(f822(f227(x64591),f2(x64591)),x64592))+P144(f822(f822(f227(x64591),f822(f78(x64591),x64592)),x64592))
% 218.59/218.72 [6460]~P74(x64601)+~P144(f822(f822(f226(x64601),f2(x64601)),x64602))+P144(f822(f822(f226(x64601),f822(f78(x64601),x64602)),x64602))
% 218.59/218.72 [6643]E(f822(f822(f3(a885),f822(a100,x66431)),f822(a100,x66432)),f822(a100,f822(f822(f3(a1),x66431),x66432)))+~P144(f822(f822(f226(a1),f2(a1)),x66432))+~P144(f822(f822(f226(a1),x66432),x66431))
% 218.59/218.72 [6681]E(f822(a100,f44(a1,f822(f99(a1),x66811),f822(f99(a1),x66812))),f44(a885,f822(f99(a885),x66811),f822(f99(a885),x66812)))+P144(f822(a187,f822(f99(a1),x66811)))+P144(f822(a187,f822(f99(a1),x66812)))
% 218.59/218.72 [6700]~P74(x67001)+P144(f822(f822(f227(x67001),f2(x67001)),x67002))+~P144(f822(f822(f227(x67001),f822(f78(x67001),x67002)),x67002))
% 218.59/218.72 [6701]~P74(x67011)+P144(f822(f822(f226(x67011),f2(x67011)),x67012))+~P144(f822(f822(f226(x67011),f822(f78(x67011),x67012)),x67012))
% 218.59/218.72 [6712]~P74(x67121)+~P144(f822(f822(f227(x67121),f2(x67121)),x67122))+P144(f822(f822(f227(x67121),f2(x67121)),f822(f822(f79(x67121),x67122),x67122)))
% 218.59/218.72 [6714]~P74(x67141)+~P144(f822(f822(f226(x67141),f2(x67141)),x67142))+P144(f822(f822(f226(x67141),f2(x67141)),f822(f822(f79(x67141),x67142),x67142)))
% 218.59/218.72 [6726]E(f822(f822(f79(a885),f822(a100,x67261)),f822(a100,x67262)),f822(a100,f822(f822(f79(a1),x67261),x67262)))+~P144(f822(f822(f226(a1),f2(a1)),x67262))+~P144(f822(f822(f226(a1),f2(a1)),x67261))
% 218.59/218.72 [6738]E(x67381,f2(a885))+P144(f822(f822(f227(a885),f2(a885)),x67382))+~P144(f822(f822(f227(a885),f2(a885)),f822(f822(f235(a885),x67382),x67381)))
% 218.59/218.72 [6773]~P96(x67731)+E(f822(f99(x67731),x67732),f2(x67731))+~P28(x67731,f822(f99(x67731),f822(f822(f79(a1),a82),f822(f78(a1),x67732))))
% 218.59/218.72 [6774]~P96(x67741)+E(f822(f99(x67741),x67742),f2(x67741))+~P28(x67741,f822(f99(x67741),f822(f822(f79(a1),x67742),f822(f78(a1),a82))))
% 218.59/218.72 [6833]~P144(f822(f60(x68331),x68332))+~P144(f822(f60(x68331),f233(f892(x68331,a882))))+P144(f822(f60(x68331),f822(f78(f892(x68331,a882)),x68332)))
% 218.59/218.72 [6858]~P144(f822(f822(f227(a1),f2(a1)),x68582))+~P144(f822(f822(f226(a1),x68582),x68581))+P144(f822(f822(f227(a1),f2(a1)),f822(f822(f35(a1),x68581),x68582)))
% 218.59/218.72 [6859]~P144(f822(f822(f227(a1),x68592),f2(a1)))+~P144(f822(f822(f226(a1),x68591),f2(a1)))+P144(f822(f822(f226(a1),f2(a1)),f822(f822(f35(a1),x68591),x68592)))
% 218.59/218.72 [6898]~P144(f822(f822(f227(a885),f2(a885)),x68982))+~P144(f822(f822(f227(a885),f2(a885)),x68981))+P144(f822(f822(f227(a885),f2(a885)),f822(f822(f80(a885),x68981),x68982)))
% 218.59/218.72 [6899]~P144(f822(f822(f226(a1),f2(a1)),x68992))+~P144(f822(f822(f226(a1),f2(a1)),x68991))+P144(f822(f822(f226(a1),f2(a1)),f822(f822(f79(a1),x68991),x68992)))
% 218.59/218.72 [6900]~P144(f822(f822(f226(a1),f2(a1)),x69002))+~P144(f822(f822(f226(a1),f2(a1)),x69001))+P144(f822(f822(f226(a1),f2(a1)),f822(f822(f80(a1),x69001),x69002)))
% 218.59/218.72 [6901]~P144(f822(f822(f227(a1),f2(a1)),x69012))+~P144(f822(f822(f226(a1),f2(a1)),x69011))+P144(f822(f822(f226(a1),f2(a1)),f822(f822(f35(a1),x69011),x69012)))
% 218.59/218.72 [6902]~P144(f822(f822(f226(a1),f2(a1)),x69022))+~P144(f822(f822(f226(a1),f2(a1)),x69021))+P144(f822(f822(f226(a1),f2(a1)),f822(f822(f35(a1),x69021),x69022)))
% 218.59/218.72 [6971]E(x69711,f2(a1))+E(f44(a1,x69712,x69711),f2(a1))+E(f822(f822(f3(a1),f822(f78(a1),f822(f822(f35(a1),x69712),x69711))),f77(a1)),f822(f822(f35(a1),f822(f78(a1),x69712)),x69711))
% 218.59/218.72 [7030]P144(f822(f822(f227(a885),f2(a885)),x70301))+P144(f822(f822(f227(a885),f2(a885)),x70302))+~P144(f822(f822(f227(a885),f2(a885)),f822(f822(f79(a885),x70302),x70301)))
% 218.59/218.72 [7034]~P74(x70341)+P144(f822(f822(f227(x70341),f2(x70341)),x70342))+~P144(f822(f822(f227(x70341),f2(x70341)),f822(f822(f79(x70341),x70342),x70342)))
% 218.59/218.72 [7035]~P74(x70351)+P144(f822(f822(f226(x70351),f2(x70351)),x70352))+~P144(f822(f822(f226(x70351),f2(x70351)),f822(f822(f79(x70351),x70352),x70352)))
% 218.59/218.72 [7086]~P144(f822(f60(x70861),x70862))+P144(f822(f60(x70861),f233(f892(x70861,a882))))+~P144(f822(f60(x70861),f822(f78(f892(x70861,a882)),x70862)))
% 218.59/218.72 [7151]P144(f822(f822(f226(a1),x71511),f2(a1)))+~P144(f822(f822(f227(a1),x71512),f2(a1)))+~P144(f822(f822(f226(a1),f2(a1)),f822(f822(f35(a1),x71511),x71512)))
% 218.59/218.72 [7157]~P144(f822(f822(f227(a1),f2(a1)),x71571))+P144(f822(f822(f226(a1),x71571),x71572))+~P144(f822(f822(f227(a1),f2(a1)),f822(f822(f35(a1),x71572),x71571)))
% 218.59/218.72 [7158]~P144(f822(f822(f226(a1),f2(a1)),x71582))+P144(f822(f822(f226(a1),x71581),x71582))+~P144(f822(f822(f227(a1),f2(a1)),f822(f822(f35(a1),x71582),x71581)))
% 218.59/218.72 [7189]P144(f822(f822(f227(a1),f2(a1)),x71891))+~P144(f822(f822(f226(a1),f2(a1)),x71892))+~P144(f822(f822(f227(a1),f2(a1)),f822(f822(f35(a1),x71892),x71891)))
% 218.59/218.72 [7190]P144(f822(f822(f226(a1),f2(a1)),x71901))+~P144(f822(f822(f227(a1),f2(a1)),x71902))+~P144(f822(f822(f226(a1),f2(a1)),f822(f822(f35(a1),x71901),x71902)))
% 218.59/218.72 [7656]~P144(f822(f60(x76562),f233(f892(x76562,a882))))+~P144(f822(f60(x76561),f233(f892(x76561,a882))))+P144(f822(f60(f891(x76561,x76562)),f233(f892(f891(x76561,x76562),a882))))
% 218.59/218.72 [7657]~P144(f822(f60(x76572),f233(f892(x76572,a882))))+~P144(f822(f60(x76571),f233(f892(x76571,a882))))+P144(f822(f60(f893(x76571,x76572)),f233(f892(f893(x76571,x76572),a882))))
% 218.59/218.72 [7729]~P144(f822(f822(f227(a885),f822(a107,f2(a885))),x77291))+~P144(f822(f822(f227(a885),f822(a107,f2(a885))),x77292))+P144(f822(f822(f227(a885),x77291),f822(f822(f80(a885),x77292),x77291)))
% 218.59/218.72 [7730]~P144(f822(f822(f227(a885),f822(a107,f2(a885))),x77301))+~P144(f822(f822(f227(a885),f822(a107,f2(a885))),x77302))+P144(f822(f822(f227(a885),x77301),f822(f822(f80(a885),x77301),x77302)))
% 218.59/218.72 [7764]E(f822(f34(x77641),f233(f892(x77641,a882))),f822(a107,f2(a885)))+P144(f822(f60(x77642),f233(f892(x77642,a882))))+~P144(f822(f60(f892(x77642,x77641)),f233(f892(f892(x77642,x77641),a882))))
% 218.59/218.72 [7891]~P144(f822(f822(f227(a885),f822(a107,f2(a885))),x78912))+~P144(f822(f822(f227(a885),f822(a107,f2(a885))),x78911))+P144(f822(f822(f227(a885),f822(a107,f2(a885))),f822(f822(f80(a885),x78911),x78912)))
% 218.59/218.72 [7892]~P144(f822(f822(f226(a885),f822(a107,f2(a885))),x78921))+~P144(f822(f822(f226(a885),f822(a107,f2(a885))),x78922))+P144(f822(f822(f226(a885),f822(a107,f2(a885))),f822(f822(f80(a885),x78921),x78922)))
% 218.59/218.72 [8573]E(x85731,f108(x85732))+~P144(f822(f129(x85732),x85731))+E(f169(x85732,f822(f822(f10(a882,a882,x85732),a311),f822(f822(f9(x85732,x85732,a882),a314),f136(x85732,x85731))),x85731),f109(x85732,x85731))
% 218.59/218.72 [8666]~P39(x86662)+~P39(x86661)+E(f822(f299(a885,a1,f95(a1)),f822(f822(f96(f892(a885,a882)),f822(f299(a1,a885,a100),x86661)),f822(f299(a1,a885,a100),x86662))),f822(f822(f96(f892(a1,a882)),x86661),x86662))
% 218.59/218.72 [8667]~P39(x86672)+~P39(x86671)+E(f822(f299(a885,a1,f95(a1)),f822(f822(f97(f892(a885,a882)),f822(f299(a1,a885,a100),x86671)),f822(f299(a1,a885,a100),x86672))),f822(f822(f97(f892(a1,a882)),x86671),x86672))
% 218.59/218.72 [9309]~P96(x93091)+~E(f822(f99(x93091),x93092),f77(x93091))+P28(x93091,f822(f99(x93091),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f78(a1),x93092))))
% 218.59/218.72 [9554]~P96(x95541)+E(f822(f99(x95541),x95542),f77(x95541))+~P28(x95541,f822(f99(x95541),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f78(a1),x95542))))
% 218.59/218.72 [9992]~P91(x99922)+P50(a885,x99922,f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x99921)+P144(f822(f822(f276(a885),f860(x99921,x99922)),f861(x99921,x99922)))
% 218.59/218.72 [9995]~P91(x99951)+P50(a885,x99951,f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x99952)+~P144(f822(f822(f276(a885),f861(x99952,x99951)),f860(x99952,x99951)))
% 218.59/218.72 [9996]~P91(x99961)+P50(a885,x99961,f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x99962)+~P144(f822(f822(f227(x99961),f822(x99962,f860(x99962,x99961))),f822(x99962,f861(x99962,x99961))))
% 218.59/218.72 [10086]~P91(x100861)+P49(a885,x100861,f276(a885),x100862)+~P50(a885,x100861,f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x100862)
% 218.59/218.72 [10294]E(x102941,f2(a1))+E(x102942,f2(a1))+E(f822(f249(a1,a1,a1,a1,f31(a1),f822(f80(a1),f81(a1,x102942))),f822(f822(f822(f90(f891(a1,a1)),f822(f822(a314,f81(a1,x102941)),f81(a1,x102942))),f52(x102941,x102942)),f822(f822(f248(a1,a1,f891(a1,a1)),f822(f822(f20(a1,f892(a1,f891(a1,a1)),f892(a1,f891(a1,a1))),f822(f822(f10(f892(a1,f892(f891(a1,a1),f891(a1,a1))),f892(f892(a1,f891(a1,a1)),f892(a1,f891(a1,a1))),a1),f20(a1,f891(a1,a1),f891(a1,a1))),f822(f822(f10(f891(a1,a1),f892(a1,f892(f891(a1,a1),f891(a1,a1))),a1),f822(f9(a1,f891(a1,a1),f892(f891(a1,a1),f891(a1,a1))),f822(f822(f10(a882,f892(f891(a1,a1),f892(f891(a1,a1),f891(a1,a1))),a1),f90(f891(a1,a1))),f822(f822(f9(a1,a1,a882),a314),f2(a1))))),f822(f822(f9(a1,a1,f891(a1,a1)),f822(f822(f10(a1,f892(a1,f891(a1,a1)),a1),f243(a1,a1)),f78(a1))),f2(a1))))),f822(f822(f9(a1,f892(a1,a1),f892(a1,f891(a1,a1))),f822(f822(f10(f892(a1,f891(a1,a1)),f892(f892(a1,a1),f892(a1,f891(a1,a1))),a1),f10(a1,f891(a1,a1),a1)),f822(f822(f10(a1,f892(a1,f891(a1,a1)),a1),f243(a1,a1)),f822(f822(f9(a1,a1,a1),f822(f822(f10(a1,f892(a1,a1),a1),f3(a1)),f78(a1))),f77(a1))))),f822(f3(a1),f822(f75(a1),x102942))))),f52(x102941,x102942)))),f45(x102941,x102942))
% 218.59/218.72 [10295]E(x102951,f2(a1))+E(x102952,f2(a1))+E(f822(f249(a1,a1,a1,a1,f31(a1),f822(f80(a1),f81(a1,x102952))),f822(f822(f822(f90(f891(a1,a1)),f822(f822(a316,f822(f822(a315,f822(f822(f227(a1),f2(a1)),x102952)),f822(f822(f226(a1),f2(a1)),x102951))),f822(f822(a315,f822(f822(f227(a1),x102952),f2(a1))),f822(f822(f227(a1),x102951),f2(a1))))),f52(x102951,x102952)),f822(f822(f248(a1,a1,f891(a1,a1)),f822(f822(f20(a1,f892(a1,f891(a1,a1)),f892(a1,f891(a1,a1))),f822(f822(f10(f892(a1,f892(f891(a1,a1),f891(a1,a1))),f892(f892(a1,f891(a1,a1)),f892(a1,f891(a1,a1))),a1),f20(a1,f891(a1,a1),f891(a1,a1))),f822(f822(f10(f891(a1,a1),f892(a1,f892(f891(a1,a1),f891(a1,a1))),a1),f822(f9(a1,f891(a1,a1),f892(f891(a1,a1),f891(a1,a1))),f822(f822(f10(a882,f892(f891(a1,a1),f892(f891(a1,a1),f891(a1,a1))),a1),f90(f891(a1,a1))),f822(f822(f9(a1,a1,a882),a314),f2(a1))))),f822(f822(f9(a1,a1,f891(a1,a1)),f822(f822(f10(a1,f892(a1,f891(a1,a1)),a1),f243(a1,a1)),f78(a1))),f2(a1))))),f822(f822(f9(a1,f892(a1,a1),f892(a1,f891(a1,a1))),f822(f822(f10(f892(a1,f891(a1,a1)),f892(f892(a1,a1),f892(a1,f891(a1,a1))),a1),f10(a1,f891(a1,a1),a1)),f822(f822(f10(a1,f892(a1,f891(a1,a1)),a1),f243(a1,a1)),f822(f822(f9(a1,a1,a1),f822(f822(f10(a1,f892(a1,a1),a1),f3(a1)),f78(a1))),f77(a1))))),f822(f3(a1),f822(f75(a1),x102952))))),f52(x102951,x102952)))),f45(x102951,x102952))
% 218.59/218.72 [5706]~P111(x57061)+~P96(x57061)+E(f822(f75(x57061),f822(f822(f235(x57061),f822(f99(x57061),a92)),x57062)),f77(x57061))
% 218.59/218.72 [6226]~P127(x62261)+~P144(f822(f822(f227(a1),x62262),f2(a1)))+E(f822(f78(x62261),f822(f95(x62261),f822(a100,f822(f78(a1),x62262)))),f822(f98(x62261),x62262))
% 218.59/218.72 [6443]P144(f822(f822(f226(a94),x64431),f77(a94)))+E(f822(f822(f79(a94),f77(a94)),f261(x64431,f822(f822(f35(a94),x64432),x64431))),f261(x64431,x64432))+P144(f822(f822(f227(a94),x64432),x64431))
% 218.59/218.72 [6517]E(x65171,f2(a1))+~E(f822(f75(a1),x65172),f77(a1))+P144(f822(f822(f276(a1),f822(f822(f80(a1),x65171),x65172)),x65171))
% 218.59/218.72 [6939]~E(x69392,f77(a885))+~P144(f822(f822(f227(a885),f2(a885)),x69391))+P144(f822(f822(f276(a885),f822(f822(f80(a885),x69391),x69392)),x69391))
% 218.59/218.72 [6940]~E(x69401,f77(a885))+~P144(f822(f822(f227(a885),f2(a885)),x69402))+P144(f822(f822(f276(a885),f822(f822(f80(a885),x69401),x69402)),x69402))
% 218.59/218.72 [7076]~P94(x70761)+~P144(f822(f822(f318(x70761),x70762),f105(x70761)))+~E(f822(f822(f79(x70761),f822(f822(f79(x70761),f77(x70761)),x70762)),x70762),f2(x70761))
% 218.59/218.72 [7191]~P144(f822(f822(f227(a1),x71911),f2(a1)))+~P144(f822(f822(f226(a1),x71912),f2(a1)))+E(f822(f242(a1,a1),f822(a50,f46(f822(f78(a1),x71911),f822(f78(a1),x71912)))),f822(f822(f35(a1),x71911),x71912))
% 218.59/218.72 [7208]~P144(f822(f822(f227(a1),x72081),f2(a1)))+~P144(f822(f822(f226(a1),x72082),f2(a1)))+E(f822(f247(a1,a1),f822(a50,f46(f822(f78(a1),x72081),f822(f78(a1),x72082)))),f44(a1,x72081,x72082))
% 218.59/218.72 [7216]~P144(f822(f822(f227(a1),x72162),f2(a1)))+E(f822(f242(a1,a1),f822(a50,f49(f822(f78(a1),x72161),f822(f78(a1),x72162)))),f822(f822(f35(a1),x72161),x72162))+~P144(f822(f822(f227(a1),f2(a1)),x72161))
% 218.59/218.72 [7220]E(x72201,f2(a1))+E(f822(f75(a1),x72202),f77(a1))+~P144(f822(f822(f276(a1),f822(f822(f80(a1),x72201),x72202)),x72201))
% 218.59/218.72 [7235]~P144(f822(f822(f227(a1),x72352),f2(a1)))+E(f822(f247(a1,a1),f822(a50,f49(f822(f78(a1),x72351),f822(f78(a1),x72352)))),f44(a1,x72351,x72352))+~P144(f822(f822(f227(a1),f2(a1)),x72351))
% 218.59/218.72 [7286]E(f822(f822(f35(a1),f822(f822(f235(a1),x72861),x72862)),x72861),f822(f822(f235(a1),x72861),f822(f822(f3(a885),x72862),f822(a107,f2(a885)))))+~P144(f822(f822(f227(a885),f2(a885)),x72862))+~P144(f822(f822(f227(a1),f2(a1)),x72861))
% 218.59/218.72 [7396]~P144(f822(f822(f227(a885),f2(a885)),x73961))+~P144(f822(f822(f227(a885),f77(a885)),x73962))+P144(f822(f822(f227(a885),f822(f822(f35(a885),x73961),x73962)),x73961))
% 218.59/218.72 [7397]~P144(f822(f822(f227(a885),f2(a885)),x73971))+~P144(f822(f822(f227(a885),f2(a885)),x73972))+P144(f822(f822(f227(a885),f822(f822(f3(a885),x73971),x73972)),x73971))
% 218.59/218.72 [7398]~P144(f822(f822(f227(a1),f2(a1)),x73981))+~P144(f822(f822(f227(a1),f77(a1)),x73982))+P144(f822(f822(f227(a1),f822(f822(f35(a1),x73981),x73982)),x73981))
% 218.59/218.72 [7547]E(x75471,f2(a885))+~E(x75472,f2(a1))+~P144(f822(f822(f227(a1),f2(a1)),f822(f822(f235(a1),f822(f75(a1),x75472)),x75471)))
% 218.59/218.72 [7589]E(x75891,f77(a885))+~P144(f822(f822(f227(a885),f2(a885)),x75892))+~P144(f822(f822(f276(a885),f822(f822(f80(a885),x75892),x75891)),x75892))
% 218.59/218.72 [7590]E(x75901,f77(a885))+~P144(f822(f822(f227(a885),f2(a885)),x75902))+~P144(f822(f822(f276(a885),f822(f822(f80(a885),x75901),x75902)),x75902))
% 218.59/218.72 [7974]~E(x79742,f108(f887(x79741)))+E(f822(f183(f887(f887(x79741))),f171(x79741,x79742)),f2(a885))+~P15(a885,f822(f160(a885),f822(f822(f146(f887(x79741),a885),f183(f887(x79741))),x79742)))
% 218.59/218.72 [8230]P144(f822(x82301,x82302))+~P144(f822(x82301,f822(a102,f524(x82301,x82302))))+~P144(f822(f822(f318(f892(f891(a885,a885),a882)),x82302),a93))
% 218.59/218.72 [8246]E(x82461,f108(f887(x82462)))+E(f822(f183(f887(x82462)),f822(f822(f156(f887(x82462)),x82461),f2(a885))),f822(f183(f887(f887(x82462))),f171(x82462,x82461)))+~P15(a885,f822(f160(a885),f822(f822(f146(f887(x82462),a885),f183(f887(x82462))),x82461)))
% 218.59/218.72 [8385]~P37(x83851,x83852)+~P38(x83851,x83852)+P37(x83851,f822(f822(f3(f892(f891(x83851,x83851),a882)),x83852),f296(x83851,f182(f892(f891(x83851,x83851),a882)))))
% 218.59/218.72 [8926]~P144(f822(f60(x89261),f822(f253(x89261),x89262)))+~P144(f822(f60(x89261),f233(f892(x89261,a882))))+P144(f822(f60(x89261),f822(f253(x89261),f822(f822(f10(a882,a882,x89261),a311),x89262))))
% 218.59/218.72 [8989]E(f822(f822(f243(a885,a885),f822(a107,f822(f822(f35(a885),f822(f822(f3(a885),x89891),x89892)),x89892))),f44(a885,f822(f822(f3(a885),x89891),x89892),x89892)),f84(f891(a885,a885),f47(x89891,x89892)))+~P144(f822(f822(f227(a885),f2(a885)),x89892))+~P144(f822(f822(f226(a885),x89892),x89891))
% 218.59/218.72 [9277]~P144(f822(f60(x92771),f822(f253(x92771),x92772)))+P144(f822(f60(x92771),f233(f892(x92771,a882))))+~P144(f822(f60(x92771),f822(f253(x92771),f822(f822(f10(a882,a882,x92771),a311),x92772))))
% 218.59/218.72 [9989]P27(x99891,x99892)+~P36(x99891,f822(f242(f892(f891(x99891,x99891),a882),f892(f891(x99891,x99891),a882)),x99892))+~P144(f822(f822(f226(f892(f891(x99891,x99891),a882)),f822(f822(f278(x99891,x99891,x99891),f822(f242(f892(f891(x99891,x99891),a882),f892(f891(x99891,x99891),a882)),x99892)),f822(f247(f892(f891(x99891,x99891),a882),f892(f891(x99891,x99891),a882)),x99892))),f822(f242(f892(f891(x99891,x99891),a882),f892(f891(x99891,x99891),a882)),x99892)))
% 218.59/218.72 [10090]~E(f289(a885,f276(a885),f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x100902,x100901),f182(f892(a885,a882)))+~P144(f822(f822(f276(a885),x100902),x100901))+P144(f822(f822(f276(a885),x100901),x100902))
% 218.59/218.72 [10091]~E(f286(a885,f276(a885),f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x100912,x100911),f182(f892(a885,a882)))+~P144(f822(f822(f276(a885),x100912),x100911))+P144(f822(f822(f276(a885),x100911),x100912))
% 218.59/218.72 [7316]~P144(f822(f822(f227(a885),f2(a885)),x73162))+P144(f822(f822(f227(a885),x73161),x73162))+E(f822(a107,f822(f822(f35(a885),f822(f822(f3(a885),x73161),x73162)),x73162)),f822(f822(f35(a885),x73161),x73162))
% 218.59/218.72 [7468]~P144(f822(f822(f227(a885),f2(a885)),x74682))+~P144(f822(f822(f226(a885),x74682),x74681))+E(f822(a107,f822(f822(f35(a885),f822(f822(f3(a885),x74681),x74682)),x74682)),f822(f822(f35(a885),x74681),x74682))
% 218.59/218.72 [8446]~P96(x84461)+~P94(x84461)+~P28(x84461,f822(f99(x84461),f822(f822(f3(a1),f822(f822(f79(a1),x84462),x84462)),a92)))
% 218.59/218.72 [9174]E(x91741,f2(a885))+E(f822(f822(f248(a885,a885,f891(a885,a885)),f822(f822(f10(a885,f892(a885,f891(a885,a885)),a885),f243(a885,a885)),a107)),f84(f891(a885,a885),f47(f822(f822(f3(a885),x91742),x91741),x91741))),f84(f891(a885,a885),f47(x91742,x91741)))+P144(f822(f822(f227(a885),x91742),x91741))
% 218.59/218.72 [9360]~P37(x93601,x93602)+~P53(x93601,x93602)+P144(f822(f822(f226(f892(f891(x93601,x93601),a882)),f822(f822(f278(x93601,x93601,x93601),f822(f275(x93601,x93601),x93602)),x93602)),x93602))
% 218.59/218.72 [9612]P144(f822(x96122,f654(x96122,x96121)))+P144(f822(x96121,f654(x96122,x96121)))+E(f822(f253(a1),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f226(a1),f2(a1)))),x96121)),f822(f253(a1),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f226(a1),f2(a1)))),x96122)))
% 218.59/218.72 [9616]~P144(f822(x96162,f654(x96162,x96161)))+~P144(f822(x96161,f654(x96162,x96161)))+E(f822(f253(a1),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f226(a1),f2(a1)))),x96161)),f822(f253(a1),f822(f822(f20(a1,a882,a882),f822(f822(f10(a882,f892(a882,a882),a1),a315),f822(f226(a1),f2(a1)))),x96162)))
% 218.59/218.72 [10168]~P144(f822(f822(f276(a885),x101682),x101681))+P144(f822(f822(f276(a885),x101681),x101682))+P144(f822(f822(f318(a885),x101681),f284(a885,f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x101682)))
% 218.59/218.72 [10169]~P144(f822(f822(f276(a885),x101692),x101691))+P144(f822(f822(f276(a885),x101691),x101692))+P144(f822(f822(f318(a885),x101692),f287(a885,f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x101691)))
% 218.59/218.72 [7687]~P96(x76871)+~P65(x76871)+E(f822(f822(f280(x76871),x76872),f822(f99(x76871),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))),x76872)
% 218.59/218.72 [9308]~P96(x93081)+~E(f822(f99(x93081),x93082),f77(x93081))+P28(x93081,f822(f99(x93081),f822(f822(f79(a1),x93082),f822(f78(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))
% 218.59/218.72 [9489]~P141(x94891)+~E(x94892,f2(x94891))+E(f822(f822(f235(x94891),x94892),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f2(x94891))
% 218.59/218.72 [9490]~P141(x94901)+~E(x94902,f77(x94901))+E(f822(f822(f235(x94901),x94902),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f77(x94901))
% 218.59/218.72 [9505]~P141(x95051)+~E(x95052,f822(f78(x95051),f77(x95051)))+E(f822(f822(f235(x95051),x95052),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f77(x95051))
% 218.59/218.72 [9555]~P96(x95551)+E(f822(f99(x95551),x95552),f77(x95551))+~P28(x95551,f822(f99(x95551),f822(f822(f79(a1),x95552),f822(f78(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))
% 218.59/218.72 [9933]~P111(x99332)+E(x99331,f2(x99332))+P144(f822(f822(f227(x99332),f2(x99332)),f822(f822(f235(x99332),x99331),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))))
% 218.59/218.72 [9988]~P111(x99882)+~E(x99881,f2(x99882))+~P144(f822(f822(f227(x99882),f2(x99882)),f822(f822(f235(x99882),x99881),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))))
% 218.59/218.72 [10027]P144(f822(f822(f226(a1),x100271),f2(a1)))+P144(f822(f822(f227(a1),x100272),x100271))+E(f822(f42(x100271),f46(x100272,f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x100271))),f46(x100272,x100271))
% 218.59/218.72 [10028]~P144(f822(f822(f227(a1),f2(a1)),x100281))+P144(f822(f822(f227(a1),x100282),x100281))+E(f822(f42(x100281),f46(x100282,f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x100281))),f46(x100282,x100281))
% 218.59/218.72 [10029]P144(f822(f822(f226(a1),x100291),f2(a1)))+P144(f822(f822(f226(a1),f2(a1)),f822(f822(f79(a1),x100292),x100291)))+E(f822(f42(x100291),f49(x100292,f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x100291))),f49(x100292,x100291))
% 218.59/218.72 [10030]~P144(f822(f822(f227(a1),f2(a1)),x100301))+P144(f822(f822(f226(a1),f2(a1)),f822(f822(f79(a1),x100302),x100301)))+E(f822(f42(x100301),f49(x100302,f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x100301))),f49(x100302,x100301))
% 218.59/218.72 [10031]~P1(x100311)+~P144(f822(f822(f226(a1),f2(a1)),x100312))+E(f822(f95(x100311),f822(a100,f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x100312))),f822(f822(f79(x100311),f822(f95(x100311),f822(a100,x100312))),f822(f95(x100311),f822(a100,x100312))))
% 218.59/218.72 [5031]~P147(x50311,x50313,x50312)+~E(x50313,f2(a1))+P144(f822(x50311,x50312))
% 218.59/218.72 [5156]~P92(x51561)+~P15(x51561,x51563)+P15(x51561,f162(x51561,x51562,x51563))
% 218.59/218.72 [5157]~P92(x51571)+~P15(x51571,x51573)+P15(x51571,f169(x51571,x51572,x51573))
% 218.59/218.72 [6400]P150(x64001,x64002)+~P149(x64001,x64003)+~P40(a894,x64003,f822(a107,a895),x64002)
% 218.59/218.72 [4719]~P75(x47192)+~E(x47193,f822(f78(x47192),x47191))+E(x47191,f822(f78(x47192),x47193))
% 218.59/218.72 [4721]~P75(x47211)+~E(f822(f78(x47211),x47213),x47212)+E(f822(f78(x47211),x47212),x47213)
% 218.59/218.72 [4800]~P93(x48003)+E(x48001,x48002)+~E(f822(f95(x48003),x48001),f822(f95(x48003),x48002))
% 218.59/218.72 [4801]~P94(x48013)+E(x48011,x48012)+~E(f822(f98(x48013),x48011),f822(f98(x48013),x48012))
% 218.59/218.72 [4802]~P75(x48023)+E(x48021,x48022)+~E(f822(f78(x48023),x48021),f822(f78(x48023),x48022))
% 218.59/218.72 [4803]~P97(x48033)+E(x48031,x48032)+~E(f822(f78(x48033),x48031),f822(f78(x48033),x48032))
% 218.59/218.72 [4804]~P92(x48043)+E(x48041,x48042)+~E(f822(f271(x48043),x48041),f822(f271(x48043),x48042))
% 218.59/218.72 [4805]~P92(x48053)+E(x48051,x48052)+~E(f822(f293(x48053),x48051),f822(f293(x48053),x48052))
% 218.59/218.72 [4806]~P92(x48063)+E(x48061,x48062)+~E(f822(f290(x48063),x48061),f822(f290(x48063),x48062))
% 218.59/218.72 [4807]~P92(x48073)+E(x48071,x48072)+~E(f822(f272(x48073),x48071),f822(f272(x48073),x48072))
% 218.59/218.72 [4909]~P63(x49091)+~P144(f822(x49092,x49093))+P144(f822(f55(x49091),x49092))
% 218.59/218.72 [4949]~P63(x49493)+P144(f822(x49491,x49492))+~P144(f822(f56(x49493),x49491))
% 218.59/218.72 [5051]~P148(x50511,x50512,x50513)+~E(x50512,f2(a1))+P144(f822(x50511,f2(a1)))
% 218.59/218.72 [5092]~E(x50921,f2(a885))+E(f356(x50921,x50922,x50923),f182(f892(x50923,a882)))+~E(f822(f34(x50923),x50922),f822(a107,x50921))
% 218.59/218.72 [5241]~E(x52412,f2(a885))+E(f822(f242(a885,a885),x52411),f2(a885))+~P144(f822(f47(x52413,x52412),x52411))
% 218.59/218.72 [5287]P144(f822(x52871,x52872))+~E(x52873,f822(f95(a1),x52872))+~P144(f822(x52871,f822(a100,x52873)))
% 218.59/218.72 [5770]~E(x57703,f2(a885))+~P144(f822(x57701,x57702))+P144(f822(x57701,f44(a885,x57702,x57703)))
% 218.59/218.72 [6015]~P106(x60152)+~P106(x60151)+E(f123(x60151,x60152,f124(x60151,x60153),f124(x60152,x60153)),f124(f891(x60151,x60152),x60153))
% 218.59/218.72 [6206]~E(x62063,f2(a885))+P144(f822(x62061,x62062))+~P144(f822(x62061,f44(a885,x62062,x62063)))
% 218.59/218.72 [6923]E(x69231,f2(a885))+~P144(f822(x69232,f719(x69231,x69233,x69232)))+P144(f822(x69232,f44(a885,x69233,x69231)))
% 218.59/218.72 [7040]~P7(x70401)+~P144(f822(f822(f226(x70401),x70402),f613(x70403,x70402,x70401)))+P144(f822(f822(f226(x70401),x70402),f37(x70401,x70403)))
% 218.59/218.72 [7042]~P144(f822(x70421,x70422))+~P144(f822(x70421,f719(x70423,x70422,x70421)))+P144(f822(x70421,f44(a885,x70422,x70423)))
% 218.59/218.72 [7145]E(x71451,f108(x71452))+E(f822(f822(f143(x71452),f703(x71453,x71451,x71452)),f707(x71453,x71451,x71452)),x71451)+~P144(f822(f822(f318(f887(x71452)),x71451),f153(x71452,x71453)))
% 218.59/218.72 [7180]~P127(x71801)+~P144(f822(f822(f318(x71801),x71802),f105(x71801)))+P144(f822(f822(f318(x71801),f822(f822(f235(x71801),x71802),x71803)),f105(x71801)))
% 218.59/218.72 [7516]P36(x75161,x75162)+~P144(f822(f822(f318(x75161),x75163),f610(x75162,x75161)))+P144(f822(f822(f318(x75161),f652(x75162,x75161,x75163)),f610(x75162,x75161)))
% 218.59/218.72 [7792]E(x77921,f108(x77922))+~P144(f822(f822(f318(f887(x77922)),x77921),f153(x77922,x77923)))+P144(f822(f822(f318(f887(x77922)),f707(x77923,x77921,x77922)),f153(x77922,x77923)))
% 218.59/218.72 [7844]E(x78441,f2(a885))+E(f822(f822(f79(a885),f822(f822(f80(a885),x78441),f708(x78441,x78442,x78443))),f719(x78441,x78442,x78443)),x78442)+P144(f822(x78443,f44(a885,x78442,x78441)))
% 218.59/218.72 [7886]~P144(f822(x78863,x78862))+E(f822(f822(f79(a885),f822(f822(f80(a885),x78861),f708(x78861,x78862,x78863))),f719(x78861,x78862,x78863)),x78862)+P144(f822(x78863,f44(a885,x78862,x78861)))
% 218.59/218.72 [8031]P144(f822(f822(f227(a1),x80311),f653(x80312,x80313,x80311)))+P144(f822(f822(x80313,f822(f822(f35(a1),x80312),x80311)),f44(a1,x80312,x80311)))+~P144(f822(f822(f227(a1),x80311),f2(a1)))
% 218.59/218.72 [8301]P144(f822(f822(x83012,f822(f822(f35(a1),x83011),x83013)),f44(a1,x83011,x83013)))+~P144(f822(f822(f227(a1),x83013),f2(a1)))+P144(f822(f822(f226(a1),f653(x83011,x83012,x83013)),f2(a1)))
% 218.59/218.72 [8478]E(f822(f822(f79(a1),f822(f822(f80(a1),x84781),f635(x84782,x84783,x84781))),f653(x84782,x84783,x84781)),x84782)+P144(f822(f822(x84783,f822(f822(f35(a1),x84782),x84781)),f44(a1,x84782,x84781)))+~P144(f822(f822(f227(a1),x84781),f2(a1)))
% 218.59/218.72 [8709]~P144(f822(f822(x87091,f635(x87092,x87091,x87093)),f653(x87092,x87091,x87093)))+P144(f822(f822(x87091,f822(f822(f35(a1),x87092),x87093)),f44(a1,x87092,x87093)))+~P144(f822(f822(f227(a1),x87093),f2(a1)))
% 218.59/218.72 [8939]~P92(x89391)+~P15(x89391,x89393)+P15(x89391,f141(x89391,x89391,f7(x89391),x89392,x89393))
% 218.59/218.72 [9436]~P126(x94362)+E(x94361,f2(x94362))+~P144(f822(f822(f226(x94362),f822(f822(f79(x94362),f822(f822(f80(x94362),x94363),x94363)),f822(f822(f80(x94362),x94361),x94361))),f2(x94362)))
% 218.59/218.72 [9437]~P126(x94372)+E(x94371,f2(x94372))+~P144(f822(f822(f226(x94372),f822(f822(f79(x94372),f822(f822(f80(x94372),x94371),x94371)),f822(f822(f80(x94372),x94373),x94373))),f2(x94372)))
% 218.59/218.72 [10234]~P111(x102341)+~P144(f822(f822(f227(x102341),x102342),f2(x102341)))+P144(f822(f822(f227(x102341),f822(f822(f235(x102341),x102342),f822(a107,f822(f822(f80(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x102343)))),f2(x102341)))
% 218.59/218.72 [10243]~P111(x102432)+E(x102431,f2(x102432))+~P144(f822(f822(f226(x102432),f822(f822(f79(x102432),f822(f822(f235(x102432),x102433),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x102432),x102431),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))),f2(x102432)))
% 218.59/218.72 [10244]~P111(x102442)+E(x102441,f2(x102442))+~P144(f822(f822(f226(x102442),f822(f822(f79(x102442),f822(f822(f235(x102442),x102441),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x102442),x102443),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))),f2(x102442)))
% 218.59/218.72 [4755]~E(x47552,x47553)+~P75(x47551)+E(f822(f822(f3(x47551),x47552),x47553),f2(x47551))
% 218.59/218.72 [4756]~E(x47562,x47563)+~P4(x47561)+E(f822(f822(f3(x47561),x47562),x47563),f2(x47561))
% 218.59/218.72 [4769]~P145(x47691)+~E(x47693,f2(x47691))+E(f822(f822(f79(x47691),x47692),x47693),x47692)
% 218.59/218.72 [4787]~P140(x47871)+~E(x47873,f2(x47871))+E(f822(f822(f80(x47871),x47872),x47873),f2(x47871))
% 218.59/218.72 [4788]~P140(x47881)+~E(x47882,f2(x47881))+E(f822(f822(f80(x47881),x47882),x47883),f2(x47881))
% 218.59/218.72 [4809]~E(x48093,f108(x48091))+~E(x48092,f108(x48091))+E(f822(f822(f126(x48091),x48092),x48093),f108(x48091))
% 218.59/218.72 [4899]~P145(x48992)+E(x48991,f2(x48992))+~E(f822(f822(f79(x48992),x48993),x48991),x48993)
% 218.59/218.72 [4900]~P75(x49001)+~E(x49002,f822(f78(x49001),x49003))+E(f822(f822(f79(x49001),x49002),x49003),f2(x49001))
% 218.59/218.72 [4907]E(x49071,f108(x49072))+E(x49073,f2(a885))+~E(f822(f822(f167(x49072),x49073),x49071),f108(x49072))
% 218.59/218.72 [4917]~P75(x49173)+E(x49171,x49172)+~E(f822(f822(f3(x49173),x49171),x49172),f2(x49173))
% 218.59/218.72 [4918]~P4(x49183)+E(x49181,x49182)+~E(f822(f822(f3(x49183),x49181),x49182),f2(x49183))
% 218.59/218.72 [4931]~P141(x49312)+E(x49311,f2(x49312))+~E(f822(f822(f235(x49312),x49311),x49313),f2(x49312))
% 218.59/218.72 [4932]~P101(x49322)+E(x49321,f233(x49322))+~E(f822(f822(f97(x49322),x49323),x49321),f233(x49322))
% 218.59/218.72 [4933]~P101(x49332)+E(x49331,f233(x49332))+~E(f822(f822(f97(x49332),x49331),x49333),f233(x49332))
% 218.59/218.72 [4934]~P102(x49342)+E(x49341,f182(x49342))+~E(f822(f822(f96(x49342),x49343),x49341),f182(x49342))
% 218.59/218.72 [4935]~P102(x49352)+E(x49351,f182(x49352))+~E(f822(f822(f96(x49352),x49351),x49353),f182(x49352))
% 218.59/218.72 [5005]~P75(x50052)+E(x50051,f822(f78(x50052),x50053))+~E(f822(f822(f79(x50052),x50051),x50053),f2(x50052))
% 218.59/218.72 [5006]~P75(x50061)+E(f822(f78(x50061),x50062),x50063)+~E(f822(f822(f79(x50061),x50062),x50063),f2(x50061))
% 218.59/218.72 [5009]~E(x50092,x50093)+~P91(x50091)+P144(f822(f822(f226(x50091),x50092),x50093))
% 218.59/218.72 [5010]~E(x50102,x50103)+~P110(x50101)+P144(f822(f822(f226(x50101),x50102),x50103))
% 218.59/218.72 [5109]~P119(x51091)+~E(x51092,f822(f78(x51091),x51093))+E(f822(f822(f80(x51091),x51092),x51092),f822(f822(f80(x51091),x51093),x51093))
% 218.59/218.72 [5117]~P92(x51171)+~P15(x51171,x51173)+P15(x51171,f822(f822(f167(x51171),x51172),x51173))
% 218.59/218.72 [5118]~P92(x51181)+~P15(x51181,x51183)+P15(x51181,f822(f822(f130(x51181),x51182),x51183))
% 218.59/218.72 [5154]E(x51541,x51542)+E(x51543,f2(a885))+~E(f822(f822(f80(a885),x51543),x51541),f822(f822(f80(a885),x51543),x51542))
% 218.59/218.72 [5155]E(x51551,x51552)+E(x51553,f2(a885))+~E(f822(f822(f80(a885),x51551),x51553),f822(f822(f80(a885),x51552),x51553))
% 218.59/218.72 [5233]~E(x52332,x52333)+~P91(x52331)+E(f292(x52331,x52332,x52333),f822(f822(f298(x52331),x52332),f182(f892(x52331,a882))))
% 218.59/218.72 [5275]~P111(x52751)+~E(f822(f75(x52751),x52752),f822(f75(x52751),x52753))+P144(f822(f822(f276(x52751),x52752),x52753))
% 218.59/218.72 [5284]~E(x52841,x52842)+~P91(x52843)+~P144(f822(f822(f227(x52843),x52841),x52842))
% 218.59/218.72 [5285]~E(x52851,x52852)+~P92(x52853)+~P144(f822(f822(f227(x52853),x52851),x52852))
% 218.59/218.72 [5298]~P91(x52981)+E(f822(f291(x52981,x52982),x52983),f182(f892(x52981,a882)))+P144(f822(f822(f227(x52981),x52982),x52983))
% 218.59/218.72 [5347]~P91(x53471)+E(f292(x53471,x53472,x53473),f182(f892(x53471,a882)))+P144(f822(f822(f226(x53471),x53472),x53473))
% 218.59/218.72 [5348]~P91(x53481)+E(f294(x53481,x53482,x53483),f182(f892(x53481,a882)))+P144(f822(f822(f227(x53481),x53482),x53483))
% 218.59/218.72 [5349]~P91(x53491)+E(f182(f892(x53491,a882)),f292(x53491,x53492,x53493))+P144(f822(f822(f226(x53491),x53492),x53493))
% 218.59/218.72 [5350]~P91(x53501)+E(f182(f892(x53501,a882)),f294(x53501,x53502,x53503))+P144(f822(f822(f227(x53501),x53502),x53503))
% 218.59/218.72 [5358]~P92(x53581)+~E(f822(f822(f230(x53581),x53582),x53583),x53582)+P144(f822(f822(f226(x53581),x53582),x53583))
% 218.59/218.72 [5359]~P92(x53591)+~E(f822(f822(f181(x53591),x53592),x53593),x53593)+P144(f822(f822(f226(x53591),x53592),x53593))
% 218.59/218.72 [5360]~P99(x53601)+~E(f822(f822(f96(x53601),x53602),x53603),x53603)+P144(f822(f822(f226(x53601),x53602),x53603))
% 218.59/218.72 [5361]~P105(x53611)+~E(f822(f822(f97(x53611),x53612),x53613),x53612)+P144(f822(f822(f226(x53611),x53612),x53613))
% 218.59/218.72 [5380]~P92(x53801)+P15(x53801,x53802)+~P15(x53801,f822(f822(f143(x53801),x53803),x53802))
% 218.59/218.72 [5381]~P92(x53811)+P15(x53811,x53812)+~P15(x53811,f822(f822(f126(x53811),x53813),x53812))
% 218.59/218.72 [5382]~P92(x53821)+P15(x53821,x53822)+~P15(x53821,f822(f822(f126(x53821),x53822),x53823))
% 218.59/218.72 [5387]~P5(x53871)+~E(f44(x53871,x53873,x53872),f2(x53871))+P144(f822(f822(f276(x53871),x53872),x53873))
% 218.59/218.72 [5451]~P92(x54511)+P144(f822(f822(f226(x54511),x54513),x54512))+P144(f822(f822(f227(x54511),x54512),x54513))
% 218.59/218.72 [5453]~P92(x54531)+P144(f822(f822(f226(x54531),x54533),x54532))+P144(f822(f822(f226(x54531),x54532),x54533))
% 218.59/218.72 [5490]~P92(x54901)+E(f822(f822(f230(x54901),x54902),x54903),x54903)+~P144(f822(f822(f226(x54901),x54903),x54902))
% 218.59/218.72 [5492]~P92(x54921)+E(f822(f822(f230(x54921),x54922),x54923),x54922)+~P144(f822(f822(f226(x54921),x54922),x54923))
% 218.59/218.72 [5493]~P92(x54931)+E(f822(f822(f181(x54931),x54932),x54933),x54932)+~P144(f822(f822(f226(x54931),x54933),x54932))
% 218.59/218.72 [5495]~P92(x54951)+E(f822(f822(f181(x54951),x54952),x54953),x54953)+~P144(f822(f822(f226(x54951),x54952),x54953))
% 218.59/218.72 [5496]~P99(x54961)+E(f822(f822(f96(x54961),x54962),x54963),x54962)+~P144(f822(f822(f226(x54961),x54963),x54962))
% 218.59/218.72 [5498]~P99(x54981)+E(f822(f822(f96(x54981),x54982),x54983),x54983)+~P144(f822(f822(f226(x54981),x54982),x54983))
% 218.59/218.72 [5499]~P105(x54991)+E(f822(f822(f97(x54991),x54992),x54993),x54993)+~P144(f822(f822(f226(x54991),x54993),x54992))
% 218.59/218.72 [5501]~P105(x55011)+E(f822(f822(f97(x55011),x55012),x55013),x55012)+~P144(f822(f822(f226(x55011),x55012),x55013))
% 218.59/218.72 [5508]~P121(x55082)+E(x55081,f2(x55082))+E(f822(f822(f280(x55082),f822(f78(x55082),x55083)),f822(f78(x55082),x55081)),f822(f822(f280(x55082),x55083),x55081))
% 218.59/218.72 [5515]~P5(x55151)+E(f44(x55151,x55152,x55153),f2(x55151))+~P144(f822(f822(f276(x55151),x55153),x55152))
% 218.59/218.72 [5561]~P91(x55611)+E(f822(f291(x55611,x55612),x55613),f182(f892(x55611,a882)))+~P144(f822(f822(f226(x55611),x55613),x55612))
% 218.59/218.72 [5594]~P91(x55941)+E(f292(x55941,x55942,x55943),f182(f892(x55941,a882)))+~P144(f822(f822(f227(x55941),x55943),x55942))
% 218.59/218.72 [5595]~P91(x55951)+E(f294(x55951,x55952,x55953),f182(f892(x55951,a882)))+~P144(f822(f822(f226(x55951),x55953),x55952))
% 218.59/218.72 [5596]~P91(x55961)+E(f295(x55961,x55962,x55963),f182(f892(x55961,a882)))+~P144(f822(f822(f226(x55961),x55963),x55962))
% 218.59/218.72 [5649]~E(f822(f822(f3(a885),x56491),x56493),x56492)+E(x56491,f822(f822(f79(a885),x56492),x56493))+~P144(f822(f822(f226(a885),x56493),x56491))
% 218.59/218.72 [5650]~E(x56501,f822(f822(f79(a885),x56503),x56502))+E(f822(f822(f3(a885),x56501),x56502),x56503)+~P144(f822(f822(f226(a885),x56502),x56501))
% 218.59/218.72 [5695]~P144(f822(x56951,x56953))+P144(f822(x56951,f825(x56951,x56952)))+~P144(f822(f822(f226(a885),x56953),x56952))
% 218.59/218.72 [5696]~P144(f822(x56961,x56963))+P144(f822(x56961,f868(x56961,x56962)))+~P144(f822(f822(f227(a885),x56963),x56962))
% 218.59/218.72 [5704]~P91(x57041)+~E(f822(f291(x57041,x57042),x57043),f182(f892(x57041,a882)))+~P144(f822(f822(f227(x57041),x57042),x57043))
% 218.59/218.72 [5709]~P91(x57091)+~P144(f822(f822(f227(x57091),x57092),x57093))+P144(f822(f822(f226(x57091),x57092),x57093))
% 218.59/218.72 [5711]~P110(x57111)+~P144(f822(f822(f227(x57111),x57112),x57113))+P144(f822(f822(f226(x57111),x57112),x57113))
% 218.59/218.72 [5829]~P91(x58291)+~E(f292(x58291,x58292,x58293),f182(f892(x58291,a882)))+~P144(f822(f822(f226(x58291),x58292),x58293))
% 218.59/218.72 [5830]~P91(x58301)+~E(f294(x58301,x58302,x58303),f182(f892(x58301,a882)))+~P144(f822(f822(f227(x58301),x58302),x58303))
% 218.59/218.72 [5831]~P91(x58311)+~E(f182(f892(x58311,a882)),f292(x58311,x58312,x58313))+~P144(f822(f822(f226(x58311),x58312),x58313))
% 218.59/218.72 [5832]~P91(x58321)+~E(f182(f892(x58321,a882)),f294(x58321,x58322,x58323))+~P144(f822(f822(f227(x58321),x58322),x58323))
% 218.59/218.72 [5845]P144(f822(x58451,x58452))+~P144(f822(x58451,f826(x58451,x58453)))+~P144(f822(f822(f226(a885),x58452),x58453))
% 218.59/218.72 [5846]P144(f822(x58461,x58462))+~P144(f822(x58461,f870(x58461,x58463)))+~P144(f822(f822(f227(a885),x58462),x58463))
% 218.59/218.72 [5854]~E(x58541,f822(a107,x58543))+P144(f822(f822(f227(a885),x58541),f822(a107,x58542)))+~P144(f822(f822(f227(a885),x58543),x58542))
% 218.59/218.72 [5870]E(x58701,x58702)+~E(f822(f822(f80(a885),x58703),x58701),f822(f822(f80(a885),x58703),x58702))+~P144(f822(f822(f227(a885),f2(a885)),x58703))
% 218.59/218.72 [5930]E(f822(x59301,f371(x59301,x59302,x59303)),f77(a885))+~E(f822(f822(f8(x59303,a885),x59301),x59302),f77(a885))+~P144(f822(f60(x59303),x59302))
% 218.59/218.72 [5947]~P7(x59471)+P144(f822(f822(f226(x59471),x59472),f36(x59471,x59473)))+~P144(f822(f822(f318(x59471),x59472),x59473))
% 218.59/218.72 [5970]~P91(x59701)+~P144(f822(f822(f227(x59701),x59703),x59702))+~P144(f822(f822(f227(x59701),x59702),x59703))
% 218.59/218.72 [5974]~P110(x59741)+~P144(f822(f822(f227(x59741),x59743),x59742))+~P144(f822(f822(f227(x59741),x59742),x59743))
% 218.59/218.72 [5975]~P110(x59751)+~P144(f822(f822(f226(x59751),x59753),x59752))+~P144(f822(f822(f227(x59751),x59752),x59753))
% 218.59/218.72 [5976]~P92(x59761)+~P144(f822(f822(f227(x59761),x59763),x59762))+~P144(f822(f822(f227(x59761),x59762),x59763))
% 218.59/218.72 [5979]~P92(x59791)+~P144(f822(f822(f226(x59791),x59793),x59792))+~P144(f822(f822(f227(x59791),x59792),x59793))
% 218.59/218.72 [6000]~E(x60002,x60003)+~E(x60001,x60002)+E(f279(a885,f276(a885),x60001,x60002),f822(f822(f298(a885),x60003),f182(f892(a885,a882))))
% 218.59/218.72 [6007]~E(f822(x60072,f365(x60072,x60073,x60071)),f2(a885))+E(f822(f822(f8(x60071,a885),x60072),x60073),f2(a885))+~P144(f822(f60(x60071),x60073))
% 218.59/218.72 [6008]~E(f822(x60082,f422(x60082,x60083,x60081)),f77(a885))+E(f822(f822(f11(x60081,a885),x60082),x60083),f77(a885))+~P144(f822(f60(x60081),x60083))
% 218.59/218.72 [6024]~P114(x60241)+~P144(f822(f822(f276(x60241),x60242),x60243))+P144(f822(f822(f276(x60241),x60242),f822(f78(x60241),x60243)))
% 218.59/218.72 [6025]~P111(x60251)+~P144(f822(f822(f276(x60251),x60252),x60253))+P144(f822(f822(f276(x60251),x60252),f822(f75(x60251),x60253)))
% 218.59/218.72 [6026]~P109(x60261)+~P144(f822(f822(f227(x60261),x60263),x60262))+P144(f822(f822(f318(x60261),x60262),f822(f293(x60261),x60263)))
% 218.59/218.72 [6027]~P109(x60271)+~P144(f822(f822(f226(x60271),x60273),x60272))+P144(f822(f822(f318(x60271),x60272),f822(f272(x60271),x60273)))
% 218.59/218.72 [6028]~P109(x60281)+~P144(f822(f822(f227(x60281),x60282),x60283))+P144(f822(f822(f318(x60281),x60282),f822(f271(x60281),x60283)))
% 218.59/218.72 [6029]~P109(x60291)+~P144(f822(f822(f226(x60291),x60292),x60293))+P144(f822(f822(f318(x60291),x60292),f822(f290(x60291),x60293)))
% 218.59/218.72 [6041]E(f822(x60411,f366(x60411,x60412,x60413)),f822(a107,f2(a885)))+~E(f822(f822(f8(x60413,a885),x60411),x60412),f822(a107,f2(a885)))+~P144(f822(f60(x60413),x60412))
% 218.59/218.72 [6126]~P7(x61261)+~P144(f822(f822(f318(x61261),x61263),x61262))+P144(f822(f822(f226(x61261),f37(x61261,x61262)),x61263))
% 218.59/218.72 [6148]~P144(f822(f822(f226(a885),x61481),x61483))+P144(f822(f822(f226(a885),x61481),x61482))+~P144(f822(f822(f226(a885),x61483),x61482))
% 218.59/218.72 [6149]~P144(f822(f822(f226(a1),x61491),x61493))+P144(f822(f822(f226(a1),x61491),x61492))+~P144(f822(f822(f226(a1),x61493),x61492))
% 218.59/218.72 [6150]~P144(f822(f822(f276(a885),x61501),x61503))+P144(f822(f822(f276(a885),x61501),x61502))+~P144(f822(f822(f276(a885),x61503),x61502))
% 218.59/218.72 [6170]~P109(x61701)+~P144(f822(f822(f318(x61701),x61703),f822(f293(x61701),x61702)))+P144(f822(f822(f227(x61701),x61702),x61703))
% 218.59/218.72 [6171]~P109(x61711)+~P144(f822(f822(f318(x61711),x61712),f822(f271(x61711),x61713)))+P144(f822(f822(f227(x61711),x61712),x61713))
% 218.59/218.72 [6172]~P109(x61721)+~P144(f822(f822(f318(x61721),x61723),f822(f272(x61721),x61722)))+P144(f822(f822(f226(x61721),x61722),x61723))
% 218.59/218.72 [6173]~P109(x61731)+~P144(f822(f822(f318(x61731),x61732),f822(f290(x61731),x61733)))+P144(f822(f822(f226(x61731),x61732),x61733))
% 218.59/218.72 [6174]~P111(x61741)+~P144(f822(f822(f276(x61741),x61742),f822(f75(x61741),x61743)))+P144(f822(f822(f276(x61741),x61742),x61743))
% 218.59/218.72 [6175]~P114(x61751)+~P144(f822(f822(f276(x61751),x61752),f822(f78(x61751),x61753)))+P144(f822(f822(f276(x61751),x61752),x61753))
% 218.59/218.72 [6251]~P144(f822(x62511,x62512))+P144(f822(x62511,f803(x62511)))+~P144(f822(f822(f318(x62513),x62512),f233(f892(x62513,a882))))
% 218.59/218.72 [6403]~P66(x64031)+P144(f822(f822(f227(x64031),f2(x64031)),f742(x64033,x64032,x64031)))+P144(f822(f822(f226(x64031),x64032),x64033))
% 218.59/218.72 [6404]~P67(x64041)+P144(f822(f822(f227(x64041),f2(x64041)),f804(x64043,x64042,x64041)))+P144(f822(f822(f226(x64041),x64042),x64043))
% 218.59/218.72 [6477]~P80(x64771)+~P144(f822(f822(f227(x64771),x64773),f822(f78(x64771),x64772)))+P144(f822(f822(f227(x64771),x64772),f822(f78(x64771),x64773)))
% 218.59/218.72 [6479]~P80(x64791)+~P144(f822(f822(f226(x64791),x64793),f822(f78(x64791),x64792)))+P144(f822(f822(f226(x64791),x64792),f822(f78(x64791),x64793)))
% 218.59/218.72 [6491]~P144(f822(f822(f227(a885),x64911),x64913))+~P144(f822(f822(f227(a885),x64913),x64912))+P144(f822(f822(f227(a885),f822(a107,x64911)),x64912))
% 218.59/218.72 [6523]~P111(x65231)+P144(f822(f822(f227(x65231),f822(f98(x65231),x65232)),f822(f98(x65231),x65233)))+~P144(f822(f822(f227(a1),x65232),x65233))
% 218.59/218.72 [6524]~P90(x65241)+P144(f822(f822(f227(x65241),f822(f95(x65241),x65242)),f822(f95(x65241),x65243)))+~P144(f822(f822(f227(a885),x65242),x65243))
% 218.59/218.72 [6525]~P90(x65251)+P144(f822(f822(f226(x65251),f822(f95(x65251),x65252)),f822(f95(x65251),x65253)))+~P144(f822(f822(f226(a885),x65252),x65253))
% 218.59/218.72 [6526]~P111(x65261)+P144(f822(f822(f226(x65261),f822(f98(x65261),x65262)),f822(f98(x65261),x65263)))+~P144(f822(f822(f226(a1),x65262),x65263))
% 218.59/218.72 [6532]~P92(x65321)+E(f822(f822(f96(f892(x65321,a882)),f822(f271(x65321),x65322)),f822(f291(x65321,x65322),x65323)),f822(f271(x65321),x65323))+~P144(f822(f822(f226(x65321),x65322),x65323))
% 218.59/218.72 [6562]~P80(x65621)+~P144(f822(f822(f227(x65621),x65623),x65622))+P144(f822(f822(f227(x65621),f822(f78(x65621),x65622)),f822(f78(x65621),x65623)))
% 218.59/218.72 [6564]~P80(x65641)+~P144(f822(f822(f226(x65641),x65643),x65642))+P144(f822(f822(f226(x65641),f822(f78(x65641),x65642)),f822(f78(x65641),x65643)))
% 218.59/218.72 [6566]~P97(x65661)+~P144(f822(f822(f226(x65661),x65663),x65662))+P144(f822(f822(f226(x65661),f822(f78(x65661),x65662)),f822(f78(x65661),x65663)))
% 218.59/218.72 [6602]~P92(x66021)+E(f822(f822(f96(f892(x66021,a882)),f822(f271(x66021),x66022)),f292(x66021,x66022,x66023)),f822(f290(x66021),x66023))+~P144(f822(f822(f226(x66021),x66022),x66023))
% 218.59/218.72 [6603]~P92(x66031)+E(f822(f822(f96(f892(x66031,a882)),f822(f290(x66031),x66032)),f294(x66031,x66032,x66033)),f822(f290(x66031),x66033))+~P144(f822(f822(f226(x66031),x66032),x66033))
% 218.59/218.72 [6604]~P92(x66041)+E(f822(f822(f96(f892(x66041,a882)),f822(f290(x66041),x66042)),f295(x66041,x66042,x66043)),f822(f271(x66041),x66043))+~P144(f822(f822(f227(x66041),x66042),x66043))
% 218.59/218.72 [6638]~P92(x66381)+E(f822(f822(f96(f892(x66381,a882)),f822(f291(x66381,x66382),x66383)),f822(f272(x66381),x66383)),f822(f272(x66381),x66382))+~P144(f822(f822(f226(x66381),x66382),x66383))
% 218.59/218.72 [6803]~P92(x68031)+E(f822(f822(f96(f892(x68031,a882)),f292(x68031,x68032,x68033)),f822(f293(x68031),x68033)),f822(f272(x68031),x68032))+~P144(f822(f822(f226(x68031),x68032),x68033))
% 218.59/218.72 [6804]~P92(x68041)+E(f822(f822(f96(f892(x68041,a882)),f294(x68041,x68042,x68043)),f822(f293(x68041),x68043)),f822(f293(x68041),x68042))+~P144(f822(f822(f226(x68041),x68042),x68043))
% 218.59/218.72 [6805]~P92(x68051)+E(f822(f822(f96(f892(x68051,a882)),f295(x68051,x68052,x68053)),f822(f272(x68051),x68053)),f822(f293(x68051),x68052))+~P144(f822(f822(f227(x68051),x68052),x68053))
% 218.59/218.72 [6824]P144(f822(x68241,x68242))+~P144(f822(f822(f226(a885),x68242),x68243))+P144(f822(f822(f318(a885),f826(x68241,x68243)),f292(a885,f2(a885),x68243)))
% 218.59/218.72 [6834]P144(f822(f822(f276(a1),x68341),f44(a1,x68342,x68343)))+~P144(f822(f822(f276(a1),x68341),x68342))+~P144(f822(f822(f276(a1),x68341),x68343))
% 218.59/218.72 [6860]E(x68601,x68602)+~E(f822(f822(f156(x68603),x68601),f666(x68603,x68602,x68601)),f822(f822(f156(x68603),x68602),f666(x68603,x68602,x68601)))+~E(f822(f183(f887(x68603)),x68601),f822(f183(f887(x68603)),x68602))
% 218.59/218.72 [6864]~E(x68643,f822(f822(f35(a885),x68641),x68642))+~P144(f822(f822(f227(a885),f2(a885)),x68642))+P144(f822(f822(f227(a885),x68641),f822(f822(f80(a885),x68642),f822(a107,x68643))))
% 218.59/218.72 [6880]~P144(f822(x68801,x68803))+~P144(f822(f822(f226(a885),x68803),x68802))+P144(f822(f822(f318(a885),f825(x68801,x68802)),f292(a885,f2(a885),x68802)))
% 218.59/218.72 [6921]~P144(f822(x69211,x69213))+P144(f822(x69211,f869(x69211,x69212)))+~P144(f822(f822(f318(a885),x69213),f292(a885,f2(a885),x69212)))
% 218.59/218.72 [6943]~P90(x69433)+~P144(f822(f822(f227(x69433),f822(f95(x69433),x69431)),f822(f95(x69433),x69432)))+P144(f822(f822(f227(a885),x69431),x69432))
% 218.59/218.72 [6944]~P111(x69443)+~P144(f822(f822(f227(x69443),f822(f98(x69443),x69441)),f822(f98(x69443),x69442)))+P144(f822(f822(f227(a1),x69441),x69442))
% 218.59/218.72 [6945]~P90(x69453)+~P144(f822(f822(f226(x69453),f822(f95(x69453),x69451)),f822(f95(x69453),x69452)))+P144(f822(f822(f226(a885),x69451),x69452))
% 218.59/218.72 [6946]~P111(x69463)+~P144(f822(f822(f226(x69463),f822(f98(x69463),x69461)),f822(f98(x69463),x69462)))+P144(f822(f822(f226(a1),x69461),x69462))
% 218.59/218.72 [6964]~P90(x69641)+~P144(f822(f822(f227(x69641),f77(x69641)),x69642))+P144(f822(f822(f227(x69641),f77(x69641)),f822(f822(f235(x69641),x69642),f822(a107,x69643))))
% 218.59/218.72 [6967]~P80(x69671)+~P144(f822(f822(f227(x69671),f822(f78(x69671),x69673)),f822(f78(x69671),x69672)))+P144(f822(f822(f227(x69671),x69672),x69673))
% 218.59/218.72 [6968]~P80(x69681)+~P144(f822(f822(f226(x69681),f822(f78(x69681),x69683)),f822(f78(x69681),x69682)))+P144(f822(f822(f226(x69681),x69682),x69683))
% 218.59/218.72 [6969]~P97(x69691)+~P144(f822(f822(f226(x69691),f822(f78(x69691),x69693)),f822(f78(x69691),x69692)))+P144(f822(f822(f226(x69691),x69692),x69693))
% 218.59/218.72 [6995]P144(f822(x69951,x69952))+~P144(f822(x69951,f867(x69951,x69953)))+~P144(f822(f822(f318(a885),x69952),f292(a885,f2(a885),x69953)))
% 218.59/218.72 [7016]~P66(x70161)+P144(f822(f822(f227(x70161),f742(x70163,x70162,x70161)),f77(x70161)))+P144(f822(f822(f226(x70161),x70162),x70163))
% 218.59/218.72 [7037]~E(f44(a885,x70373,x70372),f44(a885,x70371,x70372))+E(f822(f822(f79(a885),x70371),f822(f822(f80(a885),x70372),f785(x70371,x70372,x70373))),x70373)+~P144(f822(f822(f226(a885),x70371),x70373))
% 218.59/218.72 [7092]E(f822(f822(f8(x70921,a885),x70922),x70923),f2(a885))+~P144(f822(f60(x70921),x70923))+P144(f822(f822(f318(x70921),f365(x70922,x70923,x70921)),x70923))
% 218.59/218.72 [7093]E(f822(f822(f11(x70931,a885),x70932),x70933),f77(a885))+~P144(f822(f60(x70931),x70933))+P144(f822(f822(f318(x70931),f422(x70932,x70933,x70931)),x70933))
% 218.59/218.72 [7116]~P92(x71161)+~P144(f822(f822(f227(x71161),x71162),x71163))+P144(f822(f822(f227(f892(x71161,a882)),f822(f271(x71161),x71162)),f822(f271(x71161),x71163)))
% 218.59/218.72 [7117]~P92(x71171)+~P144(f822(f822(f226(x71171),x71172),x71173))+P144(f822(f822(f226(f892(x71171,a882)),f822(f271(x71171),x71172)),f822(f271(x71171),x71173)))
% 218.59/218.72 [7118]~P92(x71181)+~P144(f822(f822(f226(x71181),x71183),x71182))+P144(f822(f822(f226(f892(x71181,a882)),f822(f293(x71181),x71182)),f822(f293(x71181),x71183)))
% 218.59/218.72 [7119]~P91(x71191)+~P144(f822(f822(f226(x71191),x71192),x71193))+P144(f822(f822(f226(f892(x71191,a882)),f822(f290(x71191),x71192)),f822(f290(x71191),x71193)))
% 218.59/218.72 [7120]~P91(x71201)+~P144(f822(f822(f226(x71201),x71203),x71202))+P144(f822(f822(f226(f892(x71201,a882)),f822(f272(x71201),x71202)),f822(f272(x71201),x71203)))
% 218.59/218.72 [7131]~P7(x71311)+P144(f822(f822(f226(x71311),x71312),f37(x71311,x71313)))+P144(f822(f822(f318(x71311),f613(x71313,x71312,x71311)),x71313))
% 218.59/218.72 [7137]~P80(x71371)+P144(f822(f822(f227(x71371),f822(f822(f3(x71371),x71372),x71373)),f2(x71371)))+~P144(f822(f822(f227(x71371),x71372),x71373))
% 218.59/218.72 [7138]~P80(x71381)+P144(f822(f822(f226(x71381),f822(f822(f3(x71381),x71382),x71383)),f2(x71381)))+~P144(f822(f822(f226(x71381),x71382),x71383))
% 218.59/218.72 [7174]~P144(f822(f822(f276(a1),x71741),f44(a1,x71742,x71743)))+~P144(f822(f822(f276(a1),x71741),x71743))+P144(f822(f822(f276(a1),x71741),x71742))
% 218.59/218.72 [7181]P144(f822(x71811,x71812))+P144(f822(f822(f226(a885),f867(x71811,x71813)),x71813))+~P144(f822(f822(f318(a885),x71812),f292(a885,f2(a885),x71813)))
% 218.59/218.72 [7224]~E(f822(f822(f8(x72241,a885),x72242),x72243),f77(a885))+~P144(f822(f60(x72241),x72243))+P144(f822(f822(f318(x72241),f371(x72242,x72243,x72241)),x72243))
% 218.59/218.72 [7225]~P144(f822(x72251,x72253))+P144(f822(f822(f226(a885),f869(x72251,x72252)),x72252))+~P144(f822(f822(f318(a885),x72253),f292(a885,f2(a885),x72252)))
% 218.59/218.72 [7263]~P7(x72631)+P144(f822(f822(f318(x72631),f618(x72633,x72632,x72631)),x72632))+P144(f822(f822(f226(x72631),f36(x72631,x72632)),x72633))
% 218.59/218.72 [7297]~E(f822(f822(f8(x72971,a885),x72972),x72973),f822(a107,f2(a885)))+~P144(f822(f60(x72971),x72973))+P144(f822(f822(f318(x72971),f366(x72972,x72973,x72971)),x72973))
% 218.59/218.72 [7308]E(x73081,f2(a885))+P144(f822(x73082,f44(a885,x73083,x73081)))+P144(f822(f822(f227(a885),f719(x73081,x73083,x73082)),x73081))
% 218.59/218.72 [7430]~P144(f822(x74301,x74302))+P144(f822(x74301,f44(a885,x74302,x74303)))+P144(f822(f822(f227(a885),f719(x74303,x74302,x74301)),x74303))
% 218.59/218.72 [7551]E(x75511,f108(x75512))+~P144(f822(f822(f318(f887(x75512)),x75511),f153(x75512,x75513)))+P144(f822(f822(f318(x75512),f703(x75513,x75511,x75512)),x75513))
% 218.59/218.72 [7575]~P92(x75751)+E(f822(f822(f96(f892(x75751,a882)),f822(f822(f298(x75751),x75752),f182(f892(x75751,a882)))),f295(x75751,x75752,x75753)),f822(f291(x75751,x75752),x75753))+~P144(f822(f822(f227(x75751),x75752),x75753))
% 218.59/218.72 [7598]~P92(x75981)+E(f822(f822(f96(f892(x75981,a882)),f822(f822(f298(x75981),x75982),f182(f892(x75981,a882)))),f294(x75981,x75982,x75983)),f292(x75981,x75982,x75983))+~P144(f822(f822(f226(x75981),x75982),x75983))
% 218.59/218.72 [7709]~P92(x77091)+P144(f822(f822(f227(x77091),x77092),x77093))+~P144(f822(f822(f227(f892(x77091,a882)),f822(f271(x77091),x77092)),f822(f271(x77091),x77093)))
% 218.59/218.72 [7710]~P91(x77101)+P144(f822(f822(f226(x77101),x77102),x77103))+~P144(f822(f822(f226(f892(x77101,a882)),f822(f272(x77101),x77103)),f822(f272(x77101),x77102)))
% 218.59/218.72 [7711]~P92(x77111)+P144(f822(f822(f226(x77111),x77112),x77113))+~P144(f822(f822(f226(f892(x77111,a882)),f822(f293(x77111),x77113)),f822(f293(x77111),x77112)))
% 218.59/218.72 [7712]~P91(x77121)+P144(f822(f822(f226(x77121),x77122),x77123))+~P144(f822(f822(f226(f892(x77121,a882)),f822(f290(x77121),x77122)),f822(f290(x77121),x77123)))
% 218.59/218.72 [7713]~P92(x77131)+P144(f822(f822(f226(x77131),x77132),x77133))+~P144(f822(f822(f226(f892(x77131,a882)),f822(f271(x77131),x77132)),f822(f271(x77131),x77133)))
% 218.59/218.72 [7736]~P80(x77361)+~P144(f822(f822(f227(x77361),f822(f822(f3(x77361),x77362),x77363)),f2(x77361)))+P144(f822(f822(f227(x77361),x77362),x77363))
% 218.59/218.72 [7737]~P80(x77371)+~P144(f822(f822(f226(x77371),f822(f822(f3(x77371),x77372),x77373)),f2(x77371)))+P144(f822(f822(f226(x77371),x77372),x77373))
% 218.59/218.72 [7898]E(x78981,f2(a885))+~E(f822(f134(a885,a885,f79(a885),x78982),x78983),f2(a885))+~P144(f822(f822(f318(a885),x78981),f822(f164(a885),x78983)))
% 218.59/218.72 [7902]~P7(x79021)+~P144(f822(f822(f226(x79021),f618(x79023,x79022,x79021)),x79023))+P144(f822(f822(f226(x79021),f36(x79021,x79022)),x79023))
% 218.59/218.72 [8056]P144(f822(f822(f226(a1),f2(a1)),f627(x80561,x80562,x80563)))+P144(f822(f822(x80562,f822(f822(f35(a1),x80561),x80563)),f44(a1,x80561,x80563)))+~P144(f822(f822(f227(a1),f2(a1)),x80563))
% 218.59/218.72 [8146]E(x81461,x81462)+~E(f822(f183(f887(x81463)),x81461),f822(f183(f887(x81463)),x81462))+~P144(f822(f822(f248(x81463,x81463,a882),a314),f681(x81463,x81461,x81462)))
% 218.59/218.72 [8218]~P36(x82182,x82183)+E(x82181,f182(f892(x82182,a882)))+~P144(f822(f822(f226(f892(x82182,a882)),x82181),f822(f274(x82182,x82182,x82183),x82181)))
% 218.59/218.72 [8248]~P67(x82481)+~P144(f822(f822(f226(x82481),x82482),f822(f822(f79(x82481),x82483),f804(x82483,x82482,x82481))))+P144(f822(f822(f226(x82481),x82482),x82483))
% 218.59/218.72 [8283]P54(x82831,x82832,x82833)+P144(f822(f822(f318(x82831),f551(x82833,x82832,x82831)),x82832))+P144(f822(f822(f318(f891(x82831,x82831)),f552(x82833,x82832,x82831)),x82833))
% 218.59/218.72 [8304]P144(f822(f822(x83042,f822(f822(f35(a1),x83041),x83043)),f44(a1,x83041,x83043)))+~P144(f822(f822(f227(a1),f2(a1)),x83043))+P144(f822(f822(f227(a1),f627(x83041,x83042,x83043)),x83043))
% 218.59/218.72 [8328]E(f822(f299(a885,a885,f822(f822(f9(a885,a885,a885),f3(a885)),x83281)),f822(f291(a885,x83282),x83283)),f182(f892(a885,a882)))+P144(f822(f822(f227(a885),x83281),x83283))+P144(f822(f822(f227(a885),x83282),x83283))
% 218.59/218.72 [8435]E(f822(f299(a885,a885,f822(f822(f9(a885,a885,a885),f3(a885)),x84351)),f822(f291(a885,x84352),x84353)),f822(f822(f298(a885),f2(a885)),f182(f892(a885,a882))))+P144(f822(f822(f227(a885),x84351),x84353))+~P144(f822(f822(f227(a885),x84352),x84353))
% 218.59/218.72 [8449]~P92(x84491)+E(f141(x84491,x84491,f7(x84491),x84492,x84493),x84493)+~P144(f822(f822(f318(x84491),x84492),f822(f164(x84491),x84493)))
% 218.59/218.72 [8462]P26(x84621,x84621,x84622,x84623)+~P144(f822(f60(x84621),x84623))+~P144(f822(f822(f226(f892(x84621,a882)),x84623),f822(f299(x84621,x84621,x84622),x84623)))
% 218.59/218.72 [8486]E(f822(f822(f79(a1),f822(f822(f80(a1),x84861),f622(x84862,x84863,x84861))),f627(x84862,x84863,x84861)),x84862)+P144(f822(f822(x84863,f822(f822(f35(a1),x84862),x84861)),f44(a1,x84862,x84861)))+~P144(f822(f822(f227(a1),f2(a1)),x84861))
% 218.59/218.72 [8715]~P144(f822(f822(x87151,f622(x87152,x87151,x87153)),f627(x87152,x87151,x87153)))+P144(f822(f822(x87151,f822(f822(f35(a1),x87152),x87153)),f44(a1,x87152,x87153)))+~P144(f822(f822(f227(a1),f2(a1)),x87153))
% 218.59/218.72 [9582]~P144(f822(f60(x95821),x95822))+~P144(f822(f822(f318(x95821),x95823),x95822))+P144(f822(f822(f227(a885),f822(f34(x95821),f822(f822(f3(f892(x95821,a882)),x95822),f822(f822(f298(x95821),x95823),f182(f892(x95821,a882)))))),f822(f34(x95821),x95822)))
% 218.59/218.72 [10180]P54(x101801,x101802,x101803)+~P144(f822(f822(f248(x101801,x101801,a882),f822(f822(f9(x101801,f892(x101801,a882),f892(x101801,a882)),f822(f822(f10(f892(a882,a882),f892(f892(x101801,a882),f892(x101801,a882)),x101801),f10(a882,a882,x101801)),f822(f822(f10(a882,f892(a882,a882),x101801),a315),f822(f822(f9(x101801,f892(x101801,a882),a882),f318(x101801)),x101802)))),f822(f822(f9(x101801,f892(x101801,a882),a882),f318(x101801)),x101802))),f552(x101803,x101802,x101801)))+P144(f822(f822(f318(x101801),f551(x101803,x101802,x101801)),x101802))
% 218.59/218.72 [5470]~P121(x54702)+E(x54701,f2(x54702))+E(f822(f822(f280(x54702),x54703),f822(f78(x54702),x54701)),f822(f78(x54702),f822(f822(f280(x54702),x54703),x54701)))
% 218.59/218.72 [5610]~E(x56103,f182(f892(x56101,a882)))+~E(x56102,f182(f892(x56101,a882)))+E(f822(f822(f96(f892(x56101,a882)),x56102),x56103),f182(f892(x56101,a882)))
% 218.59/218.72 [5669]~E(x56693,f2(a885))+~P144(f822(x56691,f2(a885)))+P144(f822(x56691,f822(f822(f35(a885),x56692),x56693)))
% 218.59/218.72 [5821]~P67(x58212)+E(x58211,f2(x58212))+E(f822(f822(f280(x58212),f822(f75(x58212),x58213)),f822(f75(x58212),x58211)),f822(f75(x58212),f822(f822(f280(x58212),x58213),x58211)))
% 218.59/218.72 [5919]~P112(x59191)+~E(x59192,f77(x59191))+P144(f822(f822(f276(x59191),x59192),f822(f822(f235(x59191),x59192),x59193)))
% 218.59/218.72 [5940]~P5(x59401)+E(f822(f822(f80(x59401),x59402),f822(f822(f35(x59401),x59403),x59402)),x59403)+~P144(f822(f822(f276(x59401),x59402),x59403))
% 218.59/218.72 [5996]~P144(f822(f60(x59961),x59963))+E(f822(f34(x59961),f822(f822(f298(x59961),x59962),x59963)),f822(a107,f822(f34(x59961),x59963)))+P144(f822(f822(f318(x59961),x59962),x59963))
% 218.59/218.72 [6075]~E(x60752,f2(a885))+P144(f822(x60751,f2(a885)))+~P144(f822(x60751,f822(f822(f35(a885),x60753),x60752)))
% 218.59/218.72 [6092]~P144(f822(f60(x60921),x60923))+E(f822(f34(x60921),f822(f822(f298(x60921),x60922),x60923)),f822(f34(x60921),x60923))+~P144(f822(f822(f318(x60921),x60922),x60923))
% 218.59/218.72 [6128]~P144(f822(f60(x61281),x61283))+E(f822(f34(x61281),f822(f822(f298(x61281),x61282),x61283)),f822(f822(f79(a885),f77(a885)),f822(f34(x61281),x61283)))+P144(f822(f822(f318(x61281),x61282),x61283))
% 218.59/218.72 [6135]~P6(x61351)+E(f822(f822(f35(x61351),x61352),f822(f78(x61351),x61353)),f822(f78(x61351),f822(f822(f35(x61351),x61352),x61353)))+~P144(f822(f822(f276(x61351),x61353),x61352))
% 218.59/218.72 [6252]E(f822(f822(f79(a885),x62521),f749(x62521,x62522,x62523)),x62522)+~P144(f822(x62523,f2(a885)))+P144(f822(x62523,f822(f822(f3(a885),x62522),x62521)))
% 218.59/218.72 [6253]E(f822(f822(f79(a885),x62531),f757(x62531,x62532,x62533)),x62532)+~P144(f822(x62533,f2(a885)))+P144(f822(x62533,f822(f822(f3(a885),x62532),x62531)))
% 218.59/218.72 [6277]~P6(x62771)+E(f822(f822(f35(x62771),f822(f78(x62771),x62772)),x62773),f822(f78(x62771),f822(f822(f35(x62771),x62772),x62773)))+~P144(f822(f822(f276(x62771),x62773),x62772))
% 218.59/218.72 [6301]~P7(x63011)+~P144(f822(f60(x63011),x63013))+E(f822(f822(f63(x63011,x63011,f96(x63011)),x63012),x63013),f822(f822(f96(x63011),x63012),f36(x63011,x63013)))
% 218.59/218.72 [6302]~P7(x63021)+~P144(f822(f60(x63021),x63023))+E(f822(f822(f63(x63021,x63021,f97(x63021)),x63022),x63023),f822(f822(f97(x63021),x63022),f37(x63021,x63023)))
% 218.59/218.72 [6308]~P96(x63081)+~E(f822(f99(x63081),x63082),f822(f99(x63081),x63083))+P28(x63081,f822(f99(x63081),f822(f822(f79(a1),x63082),f822(f78(a1),x63083))))
% 218.59/218.72 [6317]~P127(x63171)+E(f822(f822(f3(x63171),f822(f95(x63171),x63172)),f822(f95(x63171),x63173)),f822(f95(x63171),f822(f822(f3(a885),x63172),x63173)))+~P144(f822(f822(f226(a885),x63173),x63172))
% 218.59/218.72 [6324]~P114(x63241)+~P144(f822(f822(f276(x63241),x63242),x63243))+P144(f822(f822(f276(x63241),f822(f78(x63241),x63242)),x63243))
% 218.59/218.72 [6325]~P111(x63251)+~P144(f822(f822(f276(x63251),x63252),x63253))+P144(f822(f822(f276(x63251),f822(f75(x63251),x63252)),x63253))
% 218.59/218.72 [6414]E(f822(f822(f79(a885),x64141),f749(x64141,x64142,x64143)),x64142)+P144(f822(f822(f227(a885),x64142),x64141))+P144(f822(x64143,f822(f822(f3(a885),x64142),x64141)))
% 218.59/218.72 [6415]E(f822(f822(f79(a885),x64151),f757(x64151,x64152,x64153)),x64152)+P144(f822(f822(f227(a885),x64152),x64151))+P144(f822(x64153,f822(f822(f3(a885),x64152),x64151)))
% 218.59/218.72 [6433]~P111(x64331)+E(f822(f822(f80(x64331),f822(f75(x64331),x64332)),x64333),f822(f75(x64331),f822(f822(f80(x64331),x64332),x64333)))+~P144(f822(f822(f226(x64331),f2(x64331)),x64333))
% 218.59/218.72 [6434]~P66(x64341)+E(f822(f822(f280(x64341),f822(f75(x64341),x64342)),x64343),f822(f75(x64341),f822(f822(f280(x64341),x64342),x64343)))+~P144(f822(f822(f227(x64341),f2(x64341)),x64343))
% 218.59/218.72 [6444]~P100(x64441)+~P144(f822(f60(x64441),x64443))+E(f822(f822(f63(x64441,x64441,f96(x64441)),x64442),x64443),f15(x64441,f822(f822(f298(x64441),x64442),x64443)))
% 218.59/218.72 [6445]~P92(x64451)+~P144(f822(f60(x64451),x64453))+E(f822(f822(f63(x64451,x64451,f181(x64451)),x64452),x64453),f16(x64451,f822(f822(f298(x64451),x64452),x64453)))
% 218.59/218.72 [6446]~P92(x64461)+~P144(f822(f60(x64461),x64463))+E(f822(f822(f63(x64461,x64461,f230(x64461)),x64462),x64463),f17(x64461,f822(f822(f298(x64461),x64462),x64463)))
% 218.59/218.72 [6447]~P100(x64471)+~P144(f822(f60(x64471),x64473))+E(f822(f822(f63(x64471,x64471,f97(x64471)),x64472),x64473),f12(x64471,f822(f822(f298(x64471),x64472),x64473)))
% 218.59/218.72 [6493]E(x64931,f108(x64932))+~E(f171(x64932,x64933),f108(f887(x64932)))+~P144(f822(f822(f318(f887(x64932)),x64931),f822(f164(f887(x64932)),x64933)))
% 218.59/218.72 [6512]~P112(x65121)+~P144(f822(f822(f227(a885),f2(a885)),x65123))+P144(f822(f822(f276(x65121),x65122),f822(f822(f235(x65121),x65122),x65123)))
% 218.59/218.72 [6540]~P144(f822(f129(x65401),x65403))+P144(f822(f822(f318(x65401),x65402),f822(f164(x65401),x65403)))+P144(f822(f129(x65401),f822(f822(f143(x65401),x65402),x65403)))
% 218.59/218.72 [6552]~P98(x65521)+~P144(f822(f60(x65521),x65523))+E(f822(f62(x65521,f80(x65521)),f822(f822(f298(x65521),x65522),x65523)),f822(f822(f63(x65521,x65521,f80(x65521)),x65522),x65523))
% 218.59/218.72 [6574]~P92(x65741)+~P144(f822(f60(x65741),x65743))+E(f13(x65741,f181(x65741),f822(f822(f298(x65741),x65742),x65743)),f822(f822(f63(x65741,x65741,f181(x65741)),x65742),x65743))
% 218.59/218.72 [6575]~P92(x65751)+~P144(f822(f60(x65751),x65753))+E(f14(x65751,f230(x65751),f822(f822(f298(x65751),x65752),x65753)),f822(f822(f63(x65751,x65751,f230(x65751)),x65752),x65753))
% 218.59/218.72 [6577]P144(f822(x65771,f2(a885)))+~P144(f822(f822(f227(a885),x65772),x65773))+~P144(f822(x65771,f822(f822(f3(a885),x65772),x65773)))
% 218.59/218.72 [6597]~P111(x65971)+P144(f822(f822(f227(x65971),x65972),x65973))+~P144(f822(f822(f227(x65971),f822(f75(x65971),x65972)),x65973))
% 218.59/218.72 [6599]~P84(x65991)+P144(f822(f822(f226(x65991),x65992),x65993))+~P144(f822(f822(f226(x65991),f822(f75(x65991),x65992)),x65993))
% 218.59/218.72 [6600]~P111(x66001)+P144(f822(f822(f276(x66001),x66002),x66003))+~P144(f822(f822(f276(x66001),f822(f75(x66001),x66002)),x66003))
% 218.59/218.72 [6601]~P114(x66011)+P144(f822(f822(f276(x66011),x66012),x66013))+~P144(f822(f822(f276(x66011),f822(f78(x66011),x66012)),x66013))
% 218.59/218.72 [6618]E(x66181,f108(x66182))+E(f822(f133(x66182),f822(f822(f130(x66182),x66183),x66181)),f822(f822(f156(x66182),x66181),x66183))+~P144(f822(f822(f227(a885),x66183),f822(f183(f887(x66182)),x66181)))
% 218.59/218.72 [6675]~P144(f822(x66751,x66753))+P144(f822(x66751,f871(x66751,x66752)))+~P144(f822(f822(f318(a885),x66753),f822(f291(a885,f2(a885)),x66752)))
% 218.59/218.72 [6697]P144(f822(x66971,x66972))+~P144(f822(f822(f227(a885),x66972),x66973))+P144(f822(f822(f318(a885),f870(x66971,x66973)),f822(f291(a885,f2(a885)),x66973)))
% 218.59/218.72 [6713]~P90(x67131)+~P144(f822(f822(f227(x67131),f2(x67131)),x67132))+P144(f822(f822(f227(x67131),f2(x67131)),f822(f822(f235(x67131),x67132),x67133)))
% 218.59/218.72 [6715]~P90(x67151)+~P144(f822(f822(f226(x67151),f2(x67151)),x67152))+P144(f822(f822(f226(x67151),f2(x67151)),f822(f822(f235(x67151),x67152),x67153)))
% 218.59/218.72 [6716]~P90(x67161)+~P144(f822(f822(f226(x67161),f77(x67161)),x67162))+P144(f822(f822(f226(x67161),f77(x67161)),f822(f822(f235(x67161),x67162),x67163)))
% 218.59/218.72 [6741]~P144(f822(x67411,x67413))+~P144(f822(f822(f227(a885),x67413),x67412))+P144(f822(f822(f318(a885),f868(x67411,x67412)),f822(f291(a885,f2(a885)),x67412)))
% 218.59/218.72 [6748]P144(f822(f60(x67481),x67482))+~P144(f822(f60(x67481),x67483))+~P144(f822(f822(f226(f892(x67481,a882)),x67482),x67483))
% 218.59/218.72 [6756]~P144(f822(f822(f276(a885),x67561),x67562))+~P144(f822(f822(f276(a885),x67561),x67563))+P144(f822(f822(f276(a885),x67561),f822(f822(f3(a885),x67562),x67563)))
% 218.59/218.72 [6757]P144(f822(x67571,x67572))+~P144(f822(x67571,f872(x67571,x67573)))+~P144(f822(f822(f318(a885),x67572),f822(f291(a885,f2(a885)),x67573)))
% 218.59/218.72 [6770]E(x67701,f2(a885))+P144(f822(x67702,f650(x67701,x67703,x67702)))+~P144(f822(x67702,f822(f822(f35(a885),x67703),x67701)))
% 218.59/218.72 [6778]~P126(x67782)+E(x67781,f2(x67782))+~E(f822(f822(f79(x67782),f822(f822(f80(x67782),x67783),x67783)),f822(f822(f80(x67782),x67781),x67781)),f2(x67782))
% 218.59/218.72 [6779]~P126(x67792)+E(x67791,f2(x67792))+~E(f822(f822(f79(x67792),f822(f822(f80(x67792),x67791),x67791)),f822(f822(f80(x67792),x67793),x67793)),f2(x67792))
% 218.59/218.72 [6825]E(x68251,f2(a885))+~P144(f822(x68252,f685(x68251,x68253,x68252)))+P144(f822(x68252,f822(f822(f35(a885),x68253),x68251)))
% 218.59/218.72 [6830]~P92(x68301)+~P15(x68301,x68303)+P15(x68301,f822(f822(f140(x68301,x68301,f7(x68301)),x68302),x68303))
% 218.59/218.72 [6873]P144(f822(x68731,f650(x68732,x68733,x68731)))+P144(f822(x68731,f2(a885)))+~P144(f822(x68731,f822(f822(f35(a885),x68733),x68732)))
% 218.59/218.72 [6879]~P96(x68791)+E(f822(f99(x68791),x68792),f822(f99(x68791),x68793))+~P28(x68791,f822(f99(x68791),f822(f822(f79(a1),x68792),f822(f78(a1),x68793))))
% 218.59/218.72 [6949]E(x69491,f2(a1))+E(x69492,f2(a1))+~P144(f822(f48(x69492,x69492),f822(f822(f243(a1,a1),x69493),x69491)))
% 218.59/218.72 [6950]E(x69501,f77(a1))+E(x69502,f2(a1))+~P144(f822(f48(x69502,x69502),f822(f822(f243(a1,a1),x69501),x69503)))
% 218.59/218.72 [6966]P144(f822(x69661,x69662))+P144(f822(f822(f227(a885),f872(x69661,x69663)),x69663))+~P144(f822(f822(f318(a885),x69662),f822(f291(a885,f2(a885)),x69663)))
% 218.59/218.72 [6991]~P144(f822(x69911,f685(x69913,x69912,x69911)))+~P144(f822(x69911,f2(a885)))+P144(f822(x69911,f822(f822(f35(a885),x69912),x69913)))
% 218.59/218.72 [6992]~P144(f822(x69921,f749(x69923,x69922,x69921)))+~P144(f822(x69921,f2(a885)))+P144(f822(x69921,f822(f822(f3(a885),x69922),x69923)))
% 218.59/218.72 [6993]~P144(f822(x69931,f757(x69933,x69932,x69931)))+~P144(f822(x69931,f2(a885)))+P144(f822(x69931,f822(f822(f3(a885),x69932),x69933)))
% 218.59/218.72 [7012]~P144(f822(x70121,x70123))+P144(f822(f822(f227(a885),f871(x70121,x70122)),x70122))+~P144(f822(f822(f318(a885),x70123),f822(f291(a885,f2(a885)),x70122)))
% 218.59/218.72 [7013]E(f822(f822(f3(a885),f822(f822(f3(a885),x70131),x70132)),f822(f822(f3(a885),x70133),x70132)),f822(f822(f3(a885),x70131),x70133))+~P144(f822(f822(f226(a885),x70132),x70131))+~P144(f822(f822(f226(a885),x70132),x70133))
% 218.59/218.72 [7050]~P80(x70501)+~P144(f822(f822(f227(x70501),f822(f78(x70501),x70503)),x70502))+P144(f822(f822(f227(x70501),f822(f78(x70501),x70502)),x70503))
% 218.59/218.72 [7051]~P111(x70511)+~P144(f822(f822(f227(x70511),f822(f75(x70511),x70512)),x70513))+P144(f822(f822(f227(x70511),f822(f78(x70511),x70512)),x70513))
% 218.59/218.72 [7053]~P80(x70531)+~P144(f822(f822(f226(x70531),f822(f78(x70531),x70533)),x70532))+P144(f822(f822(f226(x70531),f822(f78(x70531),x70532)),x70533))
% 218.59/218.72 [7055]~P84(x70551)+~P144(f822(f822(f226(x70551),f822(f75(x70551),x70552)),x70553))+P144(f822(f822(f226(x70551),f822(f78(x70551),x70552)),x70553))
% 218.59/218.72 [7057]~P144(f822(f822(f276(a1),x70571),x70573))+P144(f822(f822(f276(a1),x70571),x70572))+~P144(f822(f822(f276(a1),x70571),f822(f822(f3(a1),x70572),x70573)))
% 218.59/218.72 [7088]~P144(f822(x70883,f749(x70882,x70881,x70883)))+P144(f822(f822(f227(a885),x70881),x70882))+P144(f822(x70883,f822(f822(f3(a885),x70881),x70882)))
% 218.59/218.72 [7089]~P144(f822(x70893,f757(x70892,x70891,x70893)))+P144(f822(f822(f227(a885),x70891),x70892))+P144(f822(x70893,f822(f822(f3(a885),x70891),x70892)))
% 218.59/218.72 [7141]~E(f623(x71413,x71412,x71411),f624(x71413,x71412,x71411))+E(f822(f822(f97(f892(x71411,a882)),x71412),f36(f892(x71411,a882),x71413)),f182(f892(x71411,a882)))+P144(f822(f822(f318(f892(x71411,a882)),x71412),x71413))
% 218.59/218.72 [7149]~P144(f822(f60(x71491),x71493))+P144(f822(f60(x71491),f37(f892(x71491,a882),x71492)))+~P144(f822(f822(f318(f892(x71491,a882)),x71493),x71492))
% 218.59/218.72 [7210]~P92(x72101)+E(f822(f822(f96(f892(x72101,a882)),f822(f291(x72101,x72102),x72103)),f822(f822(f298(x72101),x72103),f182(f892(x72101,a882)))),f292(x72101,x72102,x72103))+~P144(f822(f822(f226(x72101),x72102),x72103))
% 218.59/218.72 [7213]E(x72131,f2(a885))+P144(f822(f822(f227(a885),f687(x72131,x72133,x72132)),x72131))+P144(f822(x72132,f822(f822(f35(a885),x72133),x72131)))
% 218.59/218.72 [7243]P144(f822(f822(f227(a885),f822(f183(f887(x72431)),x72432)),f801(x72433,x72431)))+~P144(f822(f60(f887(x72431)),x72433))+~P144(f822(f822(f318(f887(x72431)),x72432),x72433))
% 218.59/218.72 [7249]E(x72491,x72492)+~P144(f822(f822(f226(f892(x72493,a882)),x72491),x72492))+P144(f822(f822(f227(f892(x72493,a882)),x72491),x72492))
% 218.59/218.72 [7260]E(x72601,x72602)+~E(f822(f183(f887(x72603)),x72601),f822(f183(f887(x72603)),x72602))+P144(f822(f822(f227(a885),f666(x72603,x72601,x72602)),f822(f183(f887(x72603)),x72602)))
% 218.59/218.72 [7309]P10(x73091,x73092,x73093)+~E(f822(f255(x73091,x73091),x73093),x73092)+~E(f822(f822(f278(x73091,x73091,x73091),f822(f275(x73091,x73091),x73093)),x73093),x73093)
% 218.59/218.72 [7393]E(x73931,f2(a1))+~P144(f822(f822(f276(a1),x73932),x73933))+P144(f822(f822(f276(a1),f822(f822(f80(a1),x73931),x73932)),f822(f822(f80(a1),x73931),x73933)))
% 218.59/218.72 [7395]~P144(f822(x73951,f2(a885)))+P144(f822(f822(f227(a885),f687(x73953,x73952,x73951)),x73953))+P144(f822(x73951,f822(f822(f35(a885),x73952),x73953)))
% 218.59/218.72 [7408]~P92(x74081)+E(f822(f822(f96(f892(x74081,a882)),f295(x74081,x74082,x74083)),f822(f822(f298(x74081),x74083),f182(f892(x74081,a882)))),f294(x74081,x74082,x74083))+~P144(f822(f822(f227(x74081),x74082),x74083))
% 218.59/218.72 [7505]~P144(f822(f60(x75051),x75053))+P144(f822(f822(f227(a885),f822(f34(x75051),x75052)),f822(f34(x75051),x75053)))+~P144(f822(f822(f227(f892(x75051,a882)),x75052),x75053))
% 218.59/218.72 [7506]~P144(f822(f60(x75061),x75063))+P144(f822(f822(f226(a885),f822(f34(x75061),x75062)),f822(f34(x75061),x75063)))+~P144(f822(f822(f226(f892(x75061,a882)),x75062),x75063))
% 218.59/218.72 [7644]E(x76441,x76442)+~P144(f822(f822(f226(f892(x76443,a882)),x76442),x76441))+~P144(f822(f822(f226(f892(x76443,a882)),x76441),x76442))
% 218.59/218.72 [7647]~P92(x76471)+P15(x76471,x76472)+~P15(x76471,f822(f822(f140(x76471,x76471,f7(x76471)),x76473),x76472))
% 218.59/218.72 [7717]~P144(f822(f822(f227(a885),x77173),x77172))+~P144(f822(f822(f227(a885),x77173),x77171))+P144(f822(f822(f227(a885),f822(f822(f3(a885),x77171),x77172)),f822(f822(f3(a885),x77171),x77173)))
% 218.59/218.72 [7718]~P144(f822(f822(f227(a885),x77181),x77183))+~P144(f822(f822(f226(a885),x77182),x77181))+P144(f822(f822(f227(a885),f822(f822(f3(a885),x77181),x77182)),f822(f822(f3(a885),x77183),x77182)))
% 218.59/218.72 [7734]~P144(f822(f822(f227(a1),x77342),f2(a1)))+~P144(f822(f822(f226(a1),x77343),x77341))+P144(f822(f822(f226(a1),f822(f822(f35(a1),x77341),x77342)),f822(f822(f35(a1),x77343),x77342)))
% 218.59/218.72 [7753]~P144(f822(f822(f227(a885),f2(a885)),x77532))+~P144(f822(f822(f227(a885),x77531),x77533))+P144(f822(f822(f227(a885),f822(f822(f80(a885),x77531),x77532)),f822(f822(f80(a885),x77533),x77532)))
% 218.59/218.72 [7754]~P144(f822(f822(f227(a885),f2(a885)),x77541))+~P144(f822(f822(f227(a885),x77542),x77543))+P144(f822(f822(f227(a885),f822(f822(f80(a885),x77541),x77542)),f822(f822(f80(a885),x77541),x77543)))
% 218.59/218.72 [7755]~P144(f822(f822(f227(a1),f2(a1)),x77551))+~P144(f822(f822(f227(a1),x77552),x77553))+P144(f822(f822(f227(a1),f822(f822(f80(a1),x77551),x77552)),f822(f822(f80(a1),x77551),x77553)))
% 218.59/218.72 [7757]~P144(f822(f822(f227(a885),f2(a885)),x77573))+~P144(f822(f822(f226(a885),x77573),x77572))+P144(f822(f822(f226(a885),f822(f822(f35(a885),x77571),x77572)),f822(f822(f35(a885),x77571),x77573)))
% 218.59/218.72 [7758]~P144(f822(f822(f227(a1),f2(a1)),x77582))+~P144(f822(f822(f226(a1),x77581),x77583))+P144(f822(f822(f226(a1),f822(f822(f35(a1),x77581),x77582)),f822(f822(f35(a1),x77583),x77582)))
% 218.59/218.72 [7807]E(x78071,f2(a885))+E(f822(f822(f79(a885),f822(f822(f80(a885),x78071),f685(x78071,x78072,x78073))),f687(x78071,x78072,x78073)),x78072)+P144(f822(x78073,f822(f822(f35(a885),x78072),x78071)))
% 218.59/218.72 [7866]E(f822(f822(f79(a885),f822(f822(f80(a885),x78661),f685(x78661,x78662,x78663))),f687(x78661,x78662,x78663)),x78662)+~P144(f822(x78663,f2(a885)))+P144(f822(x78663,f822(f822(f35(a885),x78662),x78661)))
% 218.59/218.72 [7884]~P144(f822(f60(x78841),x78843))+P144(f822(f822(f318(x78841),f426(x78842,x78843,x78841)),x78843))+P144(f822(f822(f227(a885),f2(a885)),f822(f822(f11(x78841,a885),x78842),x78843)))
% 218.59/218.72 [7885]~P144(f822(f60(x78851),x78853))+P144(f822(f822(f318(x78851),f521(x78852,x78853,x78851)),x78853))+P144(f822(f822(f227(a885),f2(a885)),f822(f822(f11(x78851,a885),x78852),x78853)))
% 218.59/218.72 [7990]E(x79901,f2(a885))+P144(f822(f822(f276(a885),x79902),x79903))+~P144(f822(f822(f276(a885),f822(f822(f80(a885),x79901),x79902)),f822(f822(f80(a885),x79901),x79903)))
% 218.59/218.72 [7992]E(x79921,f2(a1))+P144(f822(f822(f276(a1),x79922),x79923))+~P144(f822(f822(f276(a1),f822(f822(f80(a1),x79921),x79922)),f822(f822(f80(a1),x79921),x79923)))
% 218.59/218.72 [8182]E(x81821,f182(f892(x81822,a882)))+E(x81821,f822(f822(f298(x81822),x81823),f182(f892(x81822,a882))))+~P144(f822(f822(f226(f892(x81822,a882)),x81821),f822(f822(f298(x81822),x81823),f182(f892(x81822,a882)))))
% 218.59/218.72 [8220]~P144(f822(f822(f227(a885),f2(a885)),x82203))+P144(f822(f822(f227(a885),x82201),x82202))+~P144(f822(f822(f227(a885),f822(f822(f235(a885),x82203),x82201)),f822(f822(f235(a885),x82203),x82202)))
% 218.59/218.72 [8222]~P144(f822(f822(f227(a885),f2(a885)),x82223))+P144(f822(f822(f226(a885),x82221),x82222))+~P144(f822(f822(f226(a885),f822(f822(f80(a885),x82223),x82221)),f822(f822(f80(a885),x82223),x82222)))
% 218.59/218.72 [8223]~P144(f822(f822(f227(a885),f77(a885)),x82233))+P144(f822(f822(f226(a885),x82231),x82232))+~P144(f822(f822(f276(a885),f822(f822(f235(a885),x82233),x82231)),f822(f822(f235(a885),x82233),x82232)))
% 218.59/218.72 [8224]~P144(f822(f822(f227(a885),f2(a885)),x82243))+P144(f822(f822(f226(a885),x82241),x82242))+~P144(f822(f822(f226(a885),f822(f822(f80(a885),x82241),x82243)),f822(f822(f80(a885),x82242),x82243)))
% 218.59/218.72 [8226]~P144(f822(f822(f227(a885),f2(a885)),x82263))+P144(f822(f822(f276(a885),x82261),x82262))+~P144(f822(f822(f276(a885),f822(f822(f80(a885),x82263),x82261)),f822(f822(f80(a885),x82263),x82262)))
% 218.59/218.72 [8264]~E(f822(f822(f97(f892(x82641,a882)),f624(x82643,x82642,x82641)),f623(x82643,x82642,x82641)),f182(f892(x82641,a882)))+E(f822(f822(f97(f892(x82641,a882)),x82642),f36(f892(x82641,a882),x82643)),f182(f892(x82641,a882)))+P144(f822(f822(f318(f892(x82641,a882)),x82642),x82643))
% 218.59/218.72 [8278]E(x82781,f108(x82782))+~E(f822(f134(f887(x82782),f887(x82782),f126(x82782),f108(x82782)),x82783),f108(x82782))+~P144(f822(f822(f318(f887(x82782)),x82781),f822(f164(f887(x82782)),x82783)))
% 218.59/218.72 [8333]E(x83331,f182(f892(f892(x83332,a882),a882)))+P144(f822(f822(f318(f892(x83332,a882)),f620(x83333,x83331,x83332)),x83331))+P144(f822(f822(f226(f892(x83332,a882)),f37(f892(x83332,a882),x83331)),x83333))
% 218.59/218.72 [8339]~P72(x83391)+~P76(x83391)+E(f822(f822(f8(a1,x83391),f822(f822(f10(a885,x83391,a1),x83392),a100)),f822(f299(a885,a1,f95(a1)),x83393)),f822(f822(f8(a885,x83391),x83392),x83393))
% 218.59/218.72 [8340]~P72(x83401)+~P76(x83401)+E(f822(f822(f11(a1,x83401),f822(f822(f10(a885,x83401,a1),x83402),a100)),f822(f299(a885,a1,f95(a1)),x83403)),f822(f822(f11(a885,x83401),x83402),x83403))
% 218.59/218.72 [8381]~P144(f822(f60(x83811),x83813))+~P144(f822(f822(f227(a885),f2(a885)),f822(x83812,f426(x83812,x83813,x83811))))+P144(f822(f822(f227(a885),f2(a885)),f822(f822(f11(x83811,a885),x83812),x83813)))
% 218.59/218.72 [8382]~P144(f822(f60(x83821),x83823))+~P144(f822(f822(f227(a885),f2(a885)),f822(x83822,f521(x83822,x83823,x83821))))+P144(f822(f822(f227(a885),f2(a885)),f822(f822(f11(x83821,a885),x83822),x83823)))
% 218.59/218.72 [8416]~P65(x84162)+E(x84161,f77(x84162))+E(f822(f822(f280(x84162),f822(f822(f3(x84162),f822(f822(f235(x84162),x84161),x84163)),f77(x84162))),f822(f822(f3(x84162),x84161),f77(x84162))),f822(f822(f8(a885,x84162),f822(f235(x84162),x84161)),f822(f291(a885,f2(a885)),x84163)))
% 218.59/218.72 [8471]E(x84711,f2(a885))+~P144(f822(x84713,f822(f822(f35(a885),x84712),x84711)))+P144(f822(f822(f227(a885),x84712),f822(f822(f80(a885),x84711),f822(a107,f650(x84711,x84712,x84713)))))
% 218.59/218.72 [8490]P144(f822(x84901,f2(a885)))+~P144(f822(x84901,f822(f822(f35(a885),x84902),x84903)))+P144(f822(f822(f227(a885),x84902),f822(f822(f80(a885),x84903),f822(a107,f650(x84903,x84902,x84901)))))
% 218.59/218.72 [8528]E(x85281,f2(a885))+~P144(f822(x85283,f822(f822(f35(a885),x85282),x85281)))+P144(f822(f822(f226(a885),f822(f822(f80(a885),x85281),f650(x85281,x85282,x85283))),x85282))
% 218.59/218.72 [8559]P144(f822(x85591,f2(a885)))+~P144(f822(x85591,f822(f822(f35(a885),x85593),x85592)))+P144(f822(f822(f226(a885),f822(f822(f80(a885),x85592),f650(x85592,x85593,x85591))),x85593))
% 218.59/218.72 [8567]~P92(x85671)+E(f822(f822(f140(x85671,x85671,f7(x85671)),x85672),x85673),f141(x85671,x85671,f7(x85671),x85672,x85673))+P144(f822(f822(f318(x85671),x85672),f822(f164(x85671),x85673)))
% 218.59/218.72 [8602]~E(f822(x86023,f561(x86022,x86023,x86021)),f822(x86023,f563(x86022,x86023,x86021)))+~P61(x86021,f822(x86023,f562(x86022,x86023,x86021)))+P61(x86021,f822(f822(f38(x86022,f892(x86021,f892(x86021,a882))),f233(f892(x86022,a882))),x86023))
% 218.59/218.72 [8611]E(x86111,f182(f892(f892(x86112,a882),a882)))+~P144(f822(f822(f226(f892(x86112,a882)),f620(x86113,x86111,x86112)),x86113))+P144(f822(f822(f226(f892(x86112,a882)),f37(f892(x86112,a882),x86111)),x86113))
% 218.59/218.72 [8669]~P67(x86691)+~P144(f822(f822(f227(x86691),x86692),x86693))+P144(f822(f822(f227(x86691),x86692),f822(f822(f280(x86691),f822(f822(f79(x86691),x86692),x86693)),f822(f822(f79(x86691),f77(x86691)),f77(x86691)))))
% 218.59/218.72 [8721]~P144(f822(f822(x87211,f846(x87211,x87213,x87212)),f847(x87211,x87213,x87212)))+P144(f822(f822(x87211,x87212),x87213))+~P144(f822(f304(f891(a1,a1),a51),f822(f822(f243(a1,a1),x87212),x87213)))
% 218.59/218.72 [8722]~P144(f822(f822(x87221,f848(x87221,x87223,x87222)),f849(x87221,x87223,x87222)))+P144(f822(f822(x87221,x87222),x87223))+~P144(f822(f304(f891(a1,a1),a57),f822(f822(f243(a1,a1),x87222),x87223)))
% 218.59/218.72 [8723]~P144(f822(f822(x87231,f850(x87231,x87233,x87232)),f853(x87231,x87233,x87232)))+P144(f822(f822(x87231,x87232),x87233))+~P144(f822(f304(f891(a1,a1),a215),f822(f822(f243(a1,a1),x87232),x87233)))
% 218.59/218.72 [8724]~P144(f822(f822(x87241,f855(x87241,x87243,x87242)),f856(x87241,x87243,x87242)))+P144(f822(f822(x87241,x87242),x87243))+~P144(f822(f304(f891(a885,a885),a213),f822(f822(f243(a885,a885),x87242),x87243)))
% 218.59/218.72 [8725]~P144(f822(f822(x87251,f342(x87251,x87253,x87252)),f344(x87251,x87253,x87252)))+P144(f822(f822(x87251,x87252),x87253))+~P144(f822(f304(f891(a1,a1),a174),f822(f822(f243(a1,a1),x87252),x87253)))
% 218.59/218.72 [8726]~P144(f822(f822(x87261,f750(x87261,x87263,x87262)),f753(x87261,x87263,x87262)))+P144(f822(f822(x87261,x87262),x87263))+~P144(f822(f304(f891(a1,a1),a125),f822(f822(f243(a1,a1),x87262),x87263)))
% 218.59/218.72 [8979]P144(f822(f822(x89791,x89792),x89793))+P144(f822(f304(f891(a885,a885),a213),f822(f822(f243(a885,a885),f855(x89791,x89793,x89792)),f856(x89791,x89793,x89792))))+~P144(f822(f304(f891(a885,a885),a213),f822(f822(f243(a885,a885),x89792),x89793)))
% 218.59/218.72 [8980]P144(f822(f822(x89801,x89802),x89803))+P144(f822(f304(f891(a1,a1),a51),f822(f822(f243(a1,a1),f846(x89801,x89803,x89802)),f847(x89801,x89803,x89802))))+~P144(f822(f304(f891(a1,a1),a51),f822(f822(f243(a1,a1),x89802),x89803)))
% 218.59/218.72 [8981]P144(f822(f822(x89811,x89812),x89813))+P144(f822(f304(f891(a1,a1),a57),f822(f822(f243(a1,a1),f848(x89811,x89813,x89812)),f849(x89811,x89813,x89812))))+~P144(f822(f304(f891(a1,a1),a57),f822(f822(f243(a1,a1),x89812),x89813)))
% 218.59/218.72 [8982]P144(f822(f822(x89821,x89822),x89823))+P144(f822(f304(f891(a1,a1),a215),f822(f822(f243(a1,a1),f850(x89821,x89823,x89822)),f853(x89821,x89823,x89822))))+~P144(f822(f304(f891(a1,a1),a215),f822(f822(f243(a1,a1),x89822),x89823)))
% 218.59/218.72 [8983]P144(f822(f822(x89831,x89832),x89833))+P144(f822(f304(f891(a1,a1),a174),f822(f822(f243(a1,a1),f342(x89831,x89833,x89832)),f344(x89831,x89833,x89832))))+~P144(f822(f304(f891(a1,a1),a174),f822(f822(f243(a1,a1),x89832),x89833)))
% 218.59/218.72 [8984]P144(f822(f822(x89841,x89842),x89843))+P144(f822(f304(f891(a1,a1),a125),f822(f822(f243(a1,a1),f750(x89841,x89843,x89842)),f753(x89841,x89843,x89842))))+~P144(f822(f304(f891(a1,a1),a125),f822(f822(f243(a1,a1),x89842),x89843)))
% 218.59/218.72 [9321]~P144(f822(f60(x93211),x93213))+P144(f822(f822(f318(f891(f892(x93211,a882),f892(x93211,a882))),f822(f822(f243(f892(x93211,a882),f892(x93211,a882)),x93212),x93213)),f303(x93211)))+~P144(f822(f822(f227(f892(x93211,a882)),x93212),x93213))
% 218.59/218.72 [9393]~P61(x93931,f822(x93933,f562(x93932,x93933,x93931)))+P61(x93931,f822(f822(f38(x93932,f892(x93931,f892(x93931,a882))),f233(f892(x93932,a882))),x93933))+~E(f822(f822(f97(f892(x93931,a882)),f240(x93931,x93931,f822(x93933,f561(x93932,x93933,x93931)))),f241(x93931,x93931,f822(x93933,f563(x93932,x93933,x93931)))),f182(f892(x93931,a882)))
% 218.59/218.72 [9594]P54(x95941,x95942,x95943)+P144(f822(f822(f318(f891(x95941,x95941)),f552(x95943,x95942,x95941)),x95943))+~P144(f822(f822(f318(f891(x95941,x95941)),f822(f822(f243(x95941,x95941),f551(x95943,x95942,x95941)),f551(x95943,x95942,x95941))),x95943))
% 218.59/218.72 [10182]P54(x101821,x101822,x101823)+~P144(f822(f822(f248(x101821,x101821,a882),f822(f822(f9(x101821,f892(x101821,a882),f892(x101821,a882)),f822(f822(f10(f892(a882,a882),f892(f892(x101821,a882),f892(x101821,a882)),x101821),f10(a882,a882,x101821)),f822(f822(f10(a882,f892(a882,a882),x101821),a315),f822(f822(f9(x101821,f892(x101821,a882),a882),f318(x101821)),x101822)))),f822(f822(f9(x101821,f892(x101821,a882),a882),f318(x101821)),x101822))),f552(x101823,x101822,x101821)))+~P144(f822(f822(f318(f891(x101821,x101821)),f822(f822(f243(x101821,x101821),f551(x101823,x101822,x101821)),f551(x101823,x101822,x101821))),x101823))
% 218.59/218.72 [5651]~P5(x56512)+E(x56511,f2(x56512))+E(f822(f822(f35(x56512),f822(f822(f80(x56512),x56513),x56511)),x56511),x56513)
% 218.59/218.72 [5652]~P5(x56522)+E(x56521,f2(x56522))+E(f822(f822(f35(x56522),f822(f822(f80(x56522),x56521),x56523)),x56521),x56523)
% 218.59/218.72 [6318]~P5(x63181)+E(f822(f822(f80(x63181),f822(f822(f35(x63181),x63182),x63183)),x63183),x63182)+~P144(f822(f822(f276(x63181),x63183),x63182))
% 218.59/218.72 [6492]~P72(x64921)+~E(f822(x64922,f2(a885)),f2(x64921))+E(f822(f822(f8(a885,x64921),x64922),f822(f291(a885,f822(a107,f2(a885))),x64923)),f822(f822(f8(a885,x64921),x64922),f822(f291(a885,f2(a885)),x64923)))
% 218.59/218.72 [6631]~P5(x66312)+E(x66311,f2(x66312))+E(f822(f822(f35(x66312),f822(f822(f79(x66312),x66313),x66311)),x66311),f822(f822(f79(x66312),f822(f822(f35(x66312),x66313),x66311)),f77(x66312)))
% 218.59/218.72 [6632]~P5(x66322)+E(x66321,f2(x66322))+E(f822(f822(f35(x66322),f822(f822(f79(x66322),x66321),x66323)),x66321),f822(f822(f79(x66322),f822(f822(f35(x66322),x66323),x66321)),f77(x66322)))
% 218.59/218.72 [6862]~P144(f822(x68623,f2(a1)))+P144(f822(f822(f226(a885),x68621),x68622))+P144(f822(x68623,f822(f95(a1),f822(f822(f3(a885),x68622),x68621))))
% 218.59/218.72 [6972]P144(f822(f822(f226(a885),x69722),x69721))+P144(f822(f822(f227(a885),x69721),x69722))+P144(f822(x69723,f822(f95(a1),f822(f822(f3(a885),x69721),x69722))))
% 218.59/218.72 [7048]E(f822(f822(f79(a885),f822(f99(a885),x70481)),f822(f822(f79(a885),f822(f99(a885),x70482)),x70483)),f822(f822(f79(a885),f822(f99(a885),x70481)),x70483))+P144(f822(a187,f822(f99(a1),x70481)))+~P144(f822(a187,f822(f99(a1),x70482)))
% 218.59/218.72 [7128]~E(x71282,f822(f822(f35(a885),x71283),x71281))+~P144(f822(f822(f227(a885),f2(a885)),x71281))+P144(f822(f822(f226(a885),f822(f822(f80(a885),x71281),x71282)),x71283))
% 218.59/218.72 [7247]~P144(f822(f60(x72471),x72473))+~P144(f822(f60(x72471),x72472))+P144(f822(f60(x72471),f822(f822(f96(f892(x72471,a882)),x72472),x72473)))
% 218.59/218.72 [7294]~P37(x72941,x72943)+~P37(x72941,x72942)+P37(x72941,f822(f822(f97(f892(f891(x72941,x72941),a882)),x72942),x72943))
% 218.59/218.72 [7295]~P53(x72951,x72953)+~P53(x72951,x72952)+P53(x72951,f822(f822(f96(f892(f891(x72951,x72951),a882)),x72952),x72953))
% 218.59/218.72 [7296]~P53(x72961,x72963)+~P53(x72961,x72962)+P53(x72961,f822(f822(f97(f892(f891(x72961,x72961),a882)),x72962),x72963))
% 218.59/218.72 [7558]~P92(x75581)+~P144(f822(f60(x75581),x75582))+E(f131(x75581,f822(f822(f3(f892(x75581,a882)),x75582),f822(f822(f298(x75581),x75583),f182(f892(x75581,a882))))),f162(x75581,x75583,f131(x75581,x75582)))
% 218.59/218.72 [7623]P144(f822(x76231,f2(a1)))+~P144(f822(f822(f227(a885),x76232),x76233))+~P144(f822(x76231,f822(f95(a1),f822(f822(f3(a885),x76232),x76233))))
% 218.59/218.72 [7641]~P144(f822(f60(x76411),x76412))+E(f822(f34(x76411),f822(f822(f3(f892(x76411,a882)),x76412),f822(f822(f298(x76411),x76413),f182(f892(x76411,a882))))),f822(f34(x76411),x76412))+P144(f822(f822(f318(x76411),x76413),x76412))
% 218.59/218.72 [7774]~P90(x77741)+~P144(f822(f822(f227(x77741),f77(x77741)),x77742))+P144(f822(f822(f227(x77741),f77(x77741)),f822(f822(f80(x77741),x77742),f822(f822(f235(x77741),x77742),x77743))))
% 218.59/218.72 [7817]~P144(f822(f60(x78171),x78173))+E(f822(f822(f3(a885),f822(f34(x78171),x78172)),f822(f34(x78171),x78173)),f822(f34(x78171),f822(f822(f3(f892(x78171,a882)),x78172),x78173)))+~P144(f822(f822(f226(f892(x78171,a882)),x78173),x78172))
% 218.59/218.72 [7874]~P144(f822(f822(f226(a885),x78742),x78743))+~P144(f822(f822(f226(a885),x78741),f822(f822(f3(a885),x78743),x78742)))+P144(f822(f822(f226(a885),f822(f822(f79(a885),x78741),x78742)),x78743))
% 218.59/218.72 [7933]P144(f822(f60(x79331),x79332))+~P144(f822(f60(x79331),x79333))+~P144(f822(f60(x79331),f822(f822(f3(f892(x79331,a882)),x79332),x79333)))
% 218.59/218.72 [7939]~P144(f822(f60(x79391),x79392))+E(f822(f34(x79391),f822(f822(f3(f892(x79391,a882)),x79392),f822(f822(f298(x79391),x79393),f182(f892(x79391,a882))))),f822(f822(f3(a885),f822(f34(x79391),x79392)),f77(a885)))+~P144(f822(f822(f318(x79391),x79393),x79392))
% 218.59/218.72 [8017]P61(x80171,x80172)+~P61(x80171,x80173)+~P144(f822(f822(f226(f892(x80171,f892(x80171,a882))),x80172),x80173))
% 218.59/218.72 [8055]~P144(f822(f822(f226(a885),x80553),x80552))+P144(f822(f822(f226(a885),x80551),f822(f822(f3(a885),x80552),x80553)))+~P144(f822(f822(f226(a885),f822(f822(f79(a885),x80551),x80553)),x80552))
% 218.59/218.72 [8075]P36(x80751,x80752)+~P36(x80751,x80753)+~P144(f822(f822(f226(f892(f891(x80751,x80751),a882)),x80752),x80753))
% 218.59/218.72 [8076]P59(x80761,x80762)+~P59(x80761,x80763)+~P144(f822(f822(f226(f892(f891(x80761,x80761),a882)),x80762),x80763))
% 218.59/218.72 [8077]P38(x80771,x80772)+~P38(x80771,x80773)+~P144(f822(f822(f226(f892(f891(x80771,x80771),a882)),x80772),x80773))
% 218.59/218.72 [8311]~P90(x83111)+~P144(f822(f822(f227(x83111),f77(x83111)),x83112))+P144(f822(f822(f227(x83111),f822(f822(f235(x83111),x83112),x83113)),f822(f822(f80(x83111),x83112),f822(f822(f235(x83111),x83112),x83113))))
% 218.59/218.72 [8400]~P144(f822(x84001,f2(a1)))+~P144(f822(x84001,f822(f822(f3(a1),f822(f95(a1),x84002)),f822(f95(a1),x84003))))+P144(f822(x84001,f822(f95(a1),f822(f822(f3(a885),x84002),x84003))))
% 218.59/218.72 [8413]~P144(f822(f822(f226(a885),x84133),x84132))+P144(f822(x84131,f822(f822(f3(a1),f822(f95(a1),x84132)),f822(f95(a1),x84133))))+~P144(f822(x84131,f822(f95(a1),f822(f822(f3(a885),x84132),x84133))))
% 218.59/218.72 [8432]P144(f822(f822(f227(a885),x84321),x84322))+~P144(f822(x84323,f822(f822(f3(a1),f822(f95(a1),x84321)),f822(f95(a1),x84322))))+P144(f822(x84323,f822(f95(a1),f822(f822(f3(a885),x84321),x84322))))
% 218.59/218.72 [8483]~P126(x84832)+E(x84831,f2(x84832))+P144(f822(f822(f227(x84832),f2(x84832)),f822(f822(f79(x84832),f822(f822(f80(x84832),x84833),x84833)),f822(f822(f80(x84832),x84831),x84831))))
% 218.59/218.72 [8484]~P126(x84842)+E(x84841,f2(x84842))+P144(f822(f822(f227(x84842),f2(x84842)),f822(f822(f79(x84842),f822(f822(f80(x84842),x84841),x84841)),f822(f822(f80(x84842),x84843),x84843))))
% 218.59/218.72 [8584]~P144(f822(f822(f227(a885),f2(a885)),x85841))+~P144(f822(f822(f227(a1),x85842),x85843))+P144(f822(f822(f227(a1),f822(f822(f80(a1),f822(f95(a1),x85841)),x85842)),f822(f822(f80(a1),f822(f95(a1),x85841)),x85843)))
% 218.59/218.72 [8640]E(f822(f822(f97(f892(x86401,a882)),x86402),f36(f892(x86401,a882),x86403)),f182(f892(x86401,a882)))+P144(f822(f822(f318(f892(x86401,a882)),x86402),x86403))+P144(f822(f822(f318(f892(x86401,a882)),f624(x86403,x86402,x86401)),f822(f822(f298(f892(x86401,a882)),x86402),x86403)))
% 218.59/218.72 [8641]E(f822(f822(f97(f892(x86411,a882)),x86412),f36(f892(x86411,a882),x86413)),f182(f892(x86411,a882)))+P144(f822(f822(f318(f892(x86411,a882)),x86412),x86413))+P144(f822(f822(f318(f892(x86411,a882)),f623(x86413,x86412,x86411)),f822(f822(f298(f892(x86411,a882)),x86412),x86413)))
% 218.59/218.72 [8668]E(x86681,x86682)+~E(f822(f183(f887(x86683)),x86681),f822(f183(f887(x86683)),x86682))+P144(f822(f822(f318(f891(x86683,x86683)),f681(x86683,x86681,x86682)),f822(f164(f891(x86683,x86683)),f822(f822(f173(x86683,x86683),x86682),x86681))))
% 218.59/218.72 [8895]E(f296(x88951,x88952),f296(x88951,x88953))+~P144(f822(f822(f226(f892(f891(x88951,x88951),a882)),x88953),f296(x88951,x88952)))+~P144(f822(f822(f226(f892(f891(x88951,x88951),a882)),x88952),x88953))
% 218.59/218.72 [8960]~P54(x89601,f233(f892(x89601,a882)),x89603)+P144(f822(f822(f226(f892(f891(f887(x89601),f887(x89601)),a882)),f149(x89601,x89602)),f150(x89601,x89603)))+~P144(f822(f822(f226(f892(f891(x89601,x89601),a882)),x89602),x89603))
% 218.59/218.72 [9150]P36(x91501,x91502)+~P144(f822(f822(f318(x91501),x91503),f610(x91502,x91501)))+P144(f822(f822(f318(f891(x91501,x91501)),f822(f822(f243(x91501,x91501),f652(x91502,x91501,x91503)),x91503)),x91502))
% 218.59/218.72 [9195]~P144(f822(f60(x91951),x91952))+P144(f822(f60(f892(x91951,a882)),f822(f822(f59(x91951),x91952),x91953)))+~P144(f822(f822(f226(f892(f891(x91951,x91951),a882)),x91953),f822(f822(f245(x91951,x91951),x91952),f822(f18(f892(x91951,a882),x91951),x91952))))
% 218.59/218.72 [9232]P54(x92321,x92322,x92323)+P144(f822(f822(f318(x92321),f502(x92323,x92322,x92321)),x92322))+~P144(f822(f822(f226(f892(f891(x92321,x92321),a882)),x92323),f822(f822(f245(x92321,x92321),x92322),f822(f18(f892(x92321,a882),x92321),x92322))))
% 218.59/218.72 [9233]P54(x92331,x92332,x92333)+P144(f822(f822(f318(x92331),f516(x92332,x92333,x92331)),x92332))+~P144(f822(f822(f226(f892(f891(x92331,x92331),a882)),x92333),f822(f822(f245(x92331,x92331),x92332),f822(f18(f892(x92331,a882),x92331),x92332))))
% 218.59/218.72 [9267]~P67(x92671)+~P144(f822(f822(f227(x92671),x92672),x92673))+P144(f822(f822(f227(x92671),f822(f822(f280(x92671),f822(f822(f79(x92671),x92672),x92673)),f822(f822(f79(x92671),f77(x92671)),f77(x92671)))),x92673))
% 218.59/218.72 [9294]~P66(x92941)+P144(f822(f822(f226(x92941),x92942),x92943))+~P144(f822(f822(f226(x92941),f822(f822(f80(x92941),f742(x92943,x92942,x92941)),x92942)),x92943))
% 218.59/218.72 [9427]E(f822(f183(f887(f887(x94271))),f822(f128(f887(x94271),f822(f822(f10(a885,a882,f887(x94271)),f822(f227(a885),x94272)),f183(f887(x94271)))),f171(x94271,x94273))),f822(f183(f887(x94271)),f822(f822(f156(f887(x94271)),x94273),x94272)))+~P15(a885,f822(f160(a885),f822(f822(f146(f887(x94271),a885),f183(f887(x94271))),x94273)))+~P144(f822(f822(f227(a885),x94272),f822(f183(f887(f887(x94271))),x94273)))
% 218.59/218.72 [9547]~P36(x95471,x95472)+P27(x95471,f822(f822(f243(f892(f891(x95471,x95471),a882),f892(f891(x95471,x95471),a882)),x95472),x95473))+~P144(f822(f822(f226(f892(f891(x95471,x95471),a882)),f822(f822(f278(x95471,x95471,x95471),x95472),x95473)),x95472))
% 218.59/218.72 [9552]E(f822(f822(f146(f887(x95521),x95521),f822(f822(f9(f887(x95521),a885,x95521),f156(x95521)),x95522)),f822(f128(f887(x95521),f822(f822(f10(a885,a882,f887(x95521)),f822(f227(a885),x95522)),f183(f887(x95521)))),f171(x95521,x95523))),f822(f822(f156(f887(x95521)),x95523),x95522))+~P15(a885,f822(f160(a885),f822(f822(f146(f887(x95521),a885),f183(f887(x95521))),x95523)))+~P144(f822(f822(f227(a885),x95522),f822(f183(f887(f887(x95521))),x95523)))
% 218.59/218.72 [9680]P54(x96801,x96802,x96803)+~P144(f822(f822(f318(f891(x96801,x96801)),f822(f822(f243(x96801,x96801),f502(x96803,x96802,x96801)),f502(x96803,x96802,x96801))),x96803))+~P144(f822(f822(f226(f892(f891(x96801,x96801),a882)),x96803),f822(f822(f245(x96801,x96801),x96802),f822(f18(f892(x96801,a882),x96801),x96802))))
% 218.59/218.72 [9681]P54(x96811,x96812,x96813)+~P144(f822(f822(f318(f891(x96811,x96811)),f822(f822(f243(x96811,x96811),f516(x96812,x96813,x96811)),f516(x96812,x96813,x96811))),x96813))+~P144(f822(f822(f226(f892(f891(x96811,x96811),a882)),x96813),f822(f822(f245(x96811,x96811),x96812),f822(f18(f892(x96811,a882),x96811),x96812))))
% 218.59/218.72 [9858]~P127(x98581)+~P124(x98581)+E(f822(f822(f280(x98581),f822(f98(x98581),f822(f822(f72(f891(a1,a1),a1,x98582,f242(a1,a1)),f206(x98582)),x98583))),f822(f98(x98581),f822(f822(f72(f891(a1,a1),a1,x98582,f247(a1,a1)),f206(x98582)),x98583))),f216(x98582,x98581,x98583))
% 218.59/218.72 [10059]~E(x100593,f2(a885))+~E(f822(f183(f887(x100591)),f822(f822(f156(f887(x100591)),x100592),f726(x100593,x100591,x100592))),x100593)+E(f822(f822(f146(a885,f887(x100591)),f822(f822(f9(a885,f887(a885),f887(x100591)),f822(f822(f10(f892(a885,x100591),f892(f887(a885),f887(x100591)),a885),f146(a885,x100591)),f822(f9(a885,a885,x100591),f822(f822(f10(f887(x100591),f892(a885,x100591),a885),f156(x100591)),f822(f156(f887(x100591)),x100592))))),f131(a885,f822(f291(a885,f2(a885)),f822(f183(f887(f887(x100591))),x100592))))),f131(a885,f822(f291(a885,f2(a885)),x100593))),f171(x100591,x100592))
% 218.59/218.72 [10060]E(x100601,f108(f887(x100602)))+~E(f822(f183(f887(x100602)),f822(f822(f156(f887(x100602)),x100601),f726(x100603,x100602,x100601))),x100603)+E(f822(f822(f146(a885,f887(x100602)),f822(f822(f9(a885,f887(a885),f887(x100602)),f822(f822(f10(f892(a885,x100602),f892(f887(a885),f887(x100602)),a885),f146(a885,x100602)),f822(f9(a885,a885,x100602),f822(f822(f10(f887(x100602),f892(a885,x100602),a885),f156(x100602)),f822(f156(f887(x100602)),x100601))))),f131(a885,f822(f291(a885,f2(a885)),f822(f183(f887(f887(x100602))),x100601))))),f131(a885,f822(f291(a885,f2(a885)),x100603))),f171(x100602,x100601))
% 218.59/218.72 [10061]~E(x100613,f2(a885))+E(f822(f822(f146(a885,f887(x100611)),f822(f822(f9(a885,f887(a885),f887(x100611)),f822(f822(f10(f892(a885,x100611),f892(f887(a885),f887(x100611)),a885),f146(a885,x100611)),f822(f9(a885,a885,x100611),f822(f822(f10(f887(x100611),f892(a885,x100611),a885),f156(x100611)),f822(f156(f887(x100611)),x100612))))),f131(a885,f822(f291(a885,f2(a885)),f822(f183(f887(f887(x100611))),x100612))))),f131(a885,f822(f291(a885,f2(a885)),x100613))),f171(x100611,x100612))+P144(f822(f822(f227(a885),f726(x100613,x100611,x100612)),f822(f183(f887(f887(x100611))),x100612)))
% 218.59/218.72 [10062]E(x100621,f108(f887(x100622)))+E(f822(f822(f146(a885,f887(x100622)),f822(f822(f9(a885,f887(a885),f887(x100622)),f822(f822(f10(f892(a885,x100622),f892(f887(a885),f887(x100622)),a885),f146(a885,x100622)),f822(f9(a885,a885,x100622),f822(f822(f10(f887(x100622),f892(a885,x100622),a885),f156(x100622)),f822(f156(f887(x100622)),x100621))))),f131(a885,f822(f291(a885,f2(a885)),f822(f183(f887(f887(x100622))),x100621))))),f131(a885,f822(f291(a885,f2(a885)),x100623))),f171(x100622,x100621))+P144(f822(f822(f227(a885),f726(x100623,x100622,x100621)),f822(f183(f887(f887(x100622))),x100621)))
% 218.59/218.72 [7814]E(f822(f822(f79(a885),f822(f99(a885),x78141)),f822(f822(f79(a885),f822(f99(a885),x78142)),x78143)),f822(f822(f79(a885),f822(f99(a885),f822(f822(f79(a1),x78141),x78142))),x78143))+P144(f822(a187,f822(f99(a1),x78141)))+P144(f822(a187,f822(f99(a1),x78142)))
% 218.59/218.72 [8576]~P144(f822(f60(x85761),x85762))+~P144(f822(f822(f318(x85761),x85763),x85762))+E(f822(a107,f822(f34(x85761),f822(f822(f3(f892(x85761,a882)),x85762),f822(f822(f298(x85761),x85763),f182(f892(x85761,a882)))))),f822(f34(x85761),x85762))
% 218.59/218.72 [8592]~P144(f822(f60(x85921),x85922))+~P144(f822(f822(f318(x85921),x85923),x85922))+E(f822(f822(f79(a885),f77(a885)),f822(f34(x85921),f822(f822(f3(f892(x85921,a882)),x85922),f822(f822(f298(x85921),x85923),f182(f892(x85921,a882)))))),f822(f34(x85921),x85922))
% 218.59/218.72 [8676]~P92(x86761)+~P144(f822(f60(x86761),x86763))+E(f822(f822(f140(x86761,x86761,f7(x86761)),x86762),f131(x86761,f822(f822(f3(f892(x86761,a882)),x86763),f822(f822(f298(x86761),x86762),f182(f892(x86761,a882)))))),f131(x86761,f822(f822(f298(x86761),x86762),x86763)))
% 218.59/218.72 [8823]~P144(f822(f60(x88231),x88233))+~P144(f822(f60(x88231),x88232))+E(f822(f822(f79(a885),f822(f34(x88231),f822(f822(f96(f892(x88231,a882)),x88232),x88233))),f822(f34(x88231),f822(f822(f97(f892(x88231,a882)),x88232),x88233))),f822(f822(f79(a885),f822(f34(x88231),x88232)),f822(f34(x88231),x88233)))
% 218.59/218.72 [10008]~P26(x100081,f892(f892(x100081,a882),a882),f822(f822(f9(x100081,f892(f891(x100081,x100081),a882),f892(f892(x100081,a882),a882)),f822(f822(f10(f892(x100081,a882),f892(f892(f891(x100081,x100081),a882),f892(f892(x100081,a882),a882)),x100081),f59(x100081)),f822(f822(f9(x100081,f892(x100081,a882),f892(x100081,a882)),f298(x100081)),f182(f892(x100081,a882))))),x100083),x100082)+~P144(f822(f60(x100081),x100082))+E(f822(f34(f892(x100081,a882)),f822(f822(f59(x100081),x100082),x100083)),f822(f34(x100081),x100082))
% 218.59/218.72 [8090]~P96(x80901)+P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x80903)))+E(f822(f822(f235(x80901),x80902),f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),x80903),x80903)),a92))),f77(x80901))
% 218.59/218.72 [9529]~P96(x95291)+~P144(f822(f822(f226(a1),f2(a1)),f822(f99(a1),x95293)))+E(f822(f822(f235(x95291),x95292),f822(f99(a885),f822(f822(f3(a1),f822(f822(f79(a1),x95293),x95293)),a92))),f822(f822(f85(x95291,x95291),f822(f822(f235(x95291),x95292),f822(f99(a885),x95293))),f822(f822(f20(x95291,x95291,x95291),f822(f822(f10(x95291,f892(x95291,x95291),x95291),f80(x95291)),f822(f80(x95291),x95292))),f7(x95291))))
% 218.59/218.72 [9916]~P144(f822(f129(x99161),x99163))+~P144(f822(f822(f318(x99161),x99162),f822(f164(x99161),x99163)))+E(f822(f822(f130(x99161),f822(f183(f887(x99161)),f169(x99161,f822(f822(f10(a882,a882,x99161),a311),f822(f822(f9(x99161,x99161,a882),a314),x99162)),f822(f160(x99161),x99163)))),f822(f160(x99161),x99163)),f822(f822(f143(x99161),x99162),f822(f160(x99161),f169(x99161,f822(f822(f10(a882,a882,x99161),a311),f822(f822(f9(x99161,x99161,a882),a314),x99162)),x99163))))
% 218.59/218.72 [9975]P144(f822(f822(f226(f892(f891(x99751,x99751),a882)),f296(x99751,x99752)),x99753))+~P144(f822(f822(f226(f892(f891(x99751,x99751),a882)),f296(x99751,f182(f892(f891(x99751,x99751),a882)))),x99753))+~P144(f822(f822(f226(f892(f891(x99751,x99751),a882)),f822(f822(f278(x99751,x99751,x99751),f822(f822(f97(f892(f891(x99751,x99751),a882)),f296(x99751,x99752)),x99753)),x99752)),x99753))
% 218.59/218.72 [9836]~P144(f822(f60(x98361),f822(f253(x98361),x98363)))+~P144(f822(f60(x98361),f822(f253(x98361),x98362)))+P144(f822(f60(x98361),f822(f253(x98361),f822(f822(f20(x98361,a882,a882),f822(f822(f10(a882,f892(a882,a882),x98361),a316),x98362)),x98363))))
% 218.59/218.72 [10124]P144(f822(f822(f226(f892(f891(x101241,x101241),a882)),f822(f822(f278(x101241,x101241,x101241),x101242),f296(x101241,x101242))),x101243))+~P144(f822(f822(f226(f892(f891(x101241,x101241),a882)),x101242),x101243))+~P144(f822(f822(f226(f892(f891(x101241,x101241),a882)),f822(f822(f278(x101241,x101241,x101241),f822(f822(f97(f892(f891(x101241,x101241),a882)),f822(f822(f278(x101241,x101241,x101241),x101242),f296(x101241,x101242))),x101243)),x101242)),x101243))
% 218.59/218.72 [10075]~P111(x100752)+E(x100751,f2(x100752))+~E(f822(f822(f79(x100752),f822(f822(f235(x100752),x100753),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x100752),x100751),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f2(x100752))
% 218.59/218.72 [10076]~P111(x100762)+E(x100761,f2(x100762))+~E(f822(f822(f79(x100762),f822(f822(f235(x100762),x100761),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x100762),x100763),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f2(x100762))
% 218.59/218.72 [10082]~P144(f822(f129(x100821),x100823))+~P144(f822(f822(f318(x100821),x100822),f822(f164(x100821),x100823)))+E(f822(f160(x100821),f822(f163(x100821),f822(f822(f130(x100821),f822(f183(f887(x100821)),f169(x100821,f822(f822(f10(a882,a882,x100821),a311),f822(f822(f9(x100821,x100821,a882),a314),x100822)),x100823))),x100823))),f169(x100821,f822(f822(f10(a882,a882,x100821),a311),f822(f822(f9(x100821,x100821,a882),a314),x100822)),f822(f160(x100821),x100823)))
% 218.59/218.72 [10165]~P111(x101652)+E(x101651,f2(x101652))+P144(f822(f822(f227(x101652),f2(x101652)),f822(f822(f79(x101652),f822(f822(f235(x101652),x101653),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x101652),x101651),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))))
% 218.59/218.72 [10166]~P111(x101662)+E(x101661,f2(x101662))+P144(f822(f822(f227(x101662),f2(x101662)),f822(f822(f79(x101662),f822(f822(f235(x101662),x101661),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x101662),x101663),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))))
% 218.59/218.72 [10221]~P111(x102211)+P144(f822(f822(f226(x102211),f2(x102211)),x102212))+~P144(f822(f822(f226(x102211),f2(x102211)),f822(f822(f235(x102211),x102212),f822(a107,f822(f822(f80(a885),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),x102213)))))
% 218.59/218.72 [4941]~E(x49412,f89(x49413,x49411))+P144(f822(x49411,x49412))+~P144(f822(x49411,x49414))
% 218.59/218.72 [5188]E(f67(x51883,x51882,x51884),x51882)+E(x51881,f755(x51882,x51883,x51884))+~P144(f822(x51884,x51881))
% 218.59/218.72 [6553]E(f67(x65531,x65532,x65533),f84(x65531,x65533))+~E(f790(x65532,x65531,x65533,x65534),x65534)+~P144(f822(x65533,x65534))
% 218.59/218.72 [6771]~P36(x67712,x67714)+~P36(x67711,x67713)+P36(f891(x67711,x67712),f308(x67711,x67712,x67713,x67714))
% 218.59/218.72 [6772]~P37(x67722,x67724)+~P37(x67721,x67723)+P37(f891(x67721,x67722),f308(x67721,x67722,x67723,x67724))
% 218.59/218.72 [8163]~P40(f29(x81634,x81631),x81632,x81633,x81632)+P40(x81631,x81632,x81633,f767(x81633,x81632,x81631,x81634))+~P144(f822(x81634,x81632))
% 218.59/218.72 [8191]~P40(f29(x81911,x81912),x81914,x81913,x81914)+P40(f29(x81911,x81912),f767(x81913,x81914,x81912,x81911),x81913,x81914)+~P144(f822(x81911,x81914))
% 218.59/218.72 [5128]~P9(x51284,x51281)+~E(f822(x51281,x51282),f822(x51281,x51283))+P144(f822(f822(x51281,x51282),x51283))
% 218.59/218.72 [5295]~P9(x52954,x52951)+E(f822(x52951,x52952),f822(x52951,x52953))+~P144(f822(f822(x52951,x52952),x52953))
% 218.59/218.72 [5296]~P17(x52964,x52961)+E(f822(x52961,x52962),f822(x52961,x52963))+~P144(f822(f822(x52961,x52962),x52963))
% 218.59/218.72 [5390]~P20(x53903,x53904,x53901)+E(f822(x53901,x53902),f822(f62(x53903,x53904),x53902))+~P144(f822(f60(x53903),x53902))
% 218.59/218.72 [5391]~P11(x53913,x53914,x53911)+E(f822(x53911,x53912),f822(f62(x53913,x53914),x53912))+~P144(f822(f60(x53913),x53912))
% 218.59/218.72 [5517]~P9(x55174,x55171)+~P144(f822(f822(x55171,x55173),x55172))+P144(f822(f822(x55171,x55172),x55173))
% 218.59/218.72 [5518]~P52(x55184,x55181)+~P144(f822(f822(x55181,x55183),x55182))+P144(f822(f822(x55181,x55182),x55183))
% 218.59/218.72 [5519]~P17(x55194,x55191)+~P144(f822(f822(x55191,x55193),x55192))+P144(f822(f822(x55191,x55192),x55193))
% 218.59/218.72 [5520]~P17(x55203,x55201)+P144(f822(f822(x55201,x55202),x55202))+~P144(f822(f822(x55201,x55204),x55202))
% 218.59/218.72 [5521]~P17(x55213,x55211)+P144(f822(f822(x55211,x55212),x55212))+~P144(f822(f822(x55211,x55212),x55214))
% 218.59/218.72 [5591]E(x55911,x55912)+~E(f822(f242(x55913,x55914),x55911),f822(f242(x55913,x55914),x55912))+~E(f822(f247(x55913,x55914),x55911),f822(f247(x55913,x55914),x55912))
% 218.59/218.72 [5619]E(x56191,x56192)+~P144(f822(f47(x56193,x56194),x56192))+~P144(f822(f47(x56193,x56194),x56191))
% 218.59/218.72 [5820]~P72(x58202)+E(f225(x58201,x58202,x58203,x58204),f2(x58202))+P144(f822(f60(x58201),x58204))
% 218.59/218.72 [5965]~P144(f822(f304(x59651,x59652),x59654))+P144(f822(f304(x59651,x59652),x59653))+~P144(f822(f822(x59652,x59653),x59654))
% 218.59/218.72 [6808]~P29(x68081,x68083,x68084)+P144(f822(x68081,x68082))+~P144(f822(f822(f318(a1),x68082),f292(a1,x68083,x68084)))
% 218.59/218.72 [7928]E(x79281,f2(a885))+~P144(f822(x79282,x79283))+P144(f822(x79282,f787(x79282,x79283,x79281,x79284)))
% 218.59/218.72 [8012]~P92(x80122)+~P144(f822(f129(x80121),x80124))+P144(f822(f129(x80121),f142(x80121,x80122,x80123,x80124)))
% 218.59/218.72 [8054]E(f67(x80541,x80542,x80543),f84(x80541,x80543))+~P144(f822(x80543,x80544))+P144(f822(x80543,f790(x80542,x80541,x80543,x80544)))
% 218.59/218.72 [8238]~P144(f822(f60(x82382),x82384))+~P144(f822(f60(x82381),x82383))+P144(f822(f60(f893(x82381,x82382)),f302(x82381,x82382,x82383,x82384)))
% 218.59/218.72 [8239]~P144(f822(f129(x82392),x82394))+~P144(f822(f129(x82391),x82393))+P144(f822(f129(f891(x82391,x82392)),f58(x82391,x82392,x82393,x82394)))
% 218.59/218.72 [8242]P144(f822(f822(f318(f887(x82421)),f822(f822(f126(x82421),x82422),x82423)),f153(x82421,x82424)))+~P144(f822(f822(f318(f887(x82421)),x82423),f153(x82421,x82424)))+~P144(f822(f822(f318(f887(x82421)),x82422),f153(x82421,x82424)))
% 218.59/218.72 [8514]E(x85141,f2(a885))+P144(f822(x85142,x85143))+~P144(f822(x85142,f788(x85142,x85143,x85141,x85144)))
% 218.59/218.72 [8551]~P92(x85513)+~P144(f822(f129(x85511),f142(x85511,x85513,x85514,x85512)))+P144(f822(f129(x85511),x85512))
% 218.59/218.72 [8814]~P144(f822(f822(f318(f891(x88141,x88141)),f822(f822(f243(x88141,x88141),x88142),x88144)),f296(x88141,x88143)))+P144(f822(f822(f318(x88141),x88142),f305(x88141,x88143)))+~P144(f822(f822(f318(x88141),x88144),f305(x88141,x88143)))
% 218.59/218.72 [5112]~P72(x51122)+E(f822(f822(f8(x51121,x51122),x51123),x51124),f2(x51122))+P144(f822(f60(x51121),x51124))
% 218.59/218.72 [5115]~P76(x51152)+E(f822(f822(f11(x51151,x51152),x51153),x51154),f77(x51152))+P144(f822(f60(x51151),x51154))
% 218.59/218.72 [5257]~P68(x52573)+E(x52571,x52572)+~E(f822(f822(f79(x52573),x52574),x52571),f822(f822(f79(x52573),x52574),x52572))
% 218.59/218.72 [5258]~P69(x52583)+E(x52581,x52582)+~E(f822(f822(f79(x52583),x52584),x52581),f822(f822(f79(x52583),x52584),x52582))
% 218.59/218.72 [5260]~P68(x52603)+E(x52601,x52602)+~E(f822(f822(f79(x52603),x52601),x52604),f822(f822(f79(x52603),x52602),x52604))
% 218.59/218.72 [5357]~P120(x53571)+~E(x53573,f822(f822(f80(x53571),x53572),x53574))+P144(f822(f822(f276(x53571),x53572),x53573))
% 218.59/218.72 [5385]~P7(x53853)+E(x53851,f182(f892(x53852,a882)))+E(f822(f822(f38(x53852,x53853),x53851),f822(f18(x53853,x53852),x53854)),x53854)
% 218.59/218.72 [5386]~P7(x53863)+E(x53861,f182(f892(x53862,a882)))+E(f822(f822(f39(x53862,x53863),x53861),f822(f18(x53863,x53862),x53864)),x53864)
% 218.59/218.72 [5605]~P91(x56053)+E(x56051,x56052)+~E(f292(x56053,x56054,x56051),f822(f822(f298(x56053),x56052),f182(f892(x56053,a882))))
% 218.59/218.72 [5606]~P91(x56063)+E(x56061,x56062)+~E(f292(x56063,x56061,x56062),f822(f822(f298(x56063),x56064),f182(f892(x56063,a882))))
% 218.59/218.72 [5667]~P34(x56673,x56671,x56674)+P34(x56673,x56671,f822(f822(f143(x56673),x56672),x56674))+P144(f822(x56671,x56672))
% 218.59/218.72 [5769]~P30(x57691,x57692,x57694)+~P144(f822(x57692,x57693))+P30(x57691,x57692,f822(f822(f143(x57691),x57693),x57694))
% 218.59/218.72 [5920]P144(f822(x59201,x59202))+~P144(f822(f239(x59203,x59201),x59204))+~P144(f822(f822(f318(x59203),x59202),x59204))
% 218.59/218.72 [5929]~P30(x59291,x59292,x59294)+~P30(x59291,x59292,x59293)+P30(x59291,x59292,f822(f822(f126(x59291),x59293),x59294))
% 218.59/218.72 [5944]P32(x59441,x59442,x59443)+~P32(x59441,x59442,f822(f822(f143(x59441),x59444),x59443))+P144(f822(x59442,x59444))
% 218.59/218.72 [5945]P34(x59451,x59452,x59453)+~P34(x59451,x59452,f822(f822(f143(x59451),x59454),x59453))+P144(f822(x59452,x59454))
% 218.59/218.72 [6021]P32(x60211,x60212,x60213)+P32(x60211,x60212,x60214)+~P32(x60211,x60212,f822(f822(f126(x60211),x60214),x60213))
% 218.59/218.72 [6042]~P72(x60421)+E(f822(f822(f8(a885,x60421),x60422),f822(f291(a885,x60423),f822(a107,x60424))),f2(x60421))+~P144(f822(f822(f227(a885),x60424),x60423))
% 218.59/218.72 [6047]~P6(x60471)+~E(f44(x60471,x60472,x60473),f44(x60471,x60474,x60473))+E(f44(x60471,f822(f78(x60471),x60472),x60473),f44(x60471,f822(f78(x60471),x60474),x60473))
% 218.59/218.72 [6117]P144(f822(x61171,x61172))+~E(f822(f128(x61173,x61171),x61174),x61174)+~P144(f822(f822(f318(x61173),x61172),f822(f164(x61173),x61174)))
% 218.59/218.72 [6137]~E(f822(f822(f79(a885),x61373),x61372),f822(f822(f79(a885),x61371),x61374))+~P144(f822(f822(f227(a885),x61373),x61374))+P144(f822(f822(f227(a885),x61371),x61372))
% 218.59/218.72 [6144]P32(x61441,x61442,x61443)+~P144(f822(x61442,x61444))+~P144(f822(f822(f318(x61441),x61444),f822(f164(x61441),x61443)))
% 218.59/218.72 [6147]~P5(x61471)+E(f44(x61471,f44(x61471,x61472,x61473),x61474),f44(x61471,x61472,x61474))+~P144(f822(f822(f276(x61471),x61474),x61473))
% 218.59/218.72 [6188]~P30(x61883,x61881,x61884)+P144(f822(x61881,x61882))+~P144(f822(f822(f318(x61883),x61882),f822(f164(x61883),x61884)))
% 218.59/218.72 [6190]~E(f822(f128(x61901,x61902),x61903),f108(x61901))+~P144(f822(x61902,x61904))+~P144(f822(f822(f318(x61901),x61904),f822(f164(x61901),x61903)))
% 218.59/218.72 [6191]~E(f169(x61913,x61911,x61914),x61914)+P144(f822(x61911,x61912))+~P144(f822(f822(f318(x61913),x61912),f822(f164(x61913),x61914)))
% 218.59/218.72 [6219]~E(x62194,f182(f892(x62192,a882)))+~E(x62193,f182(f892(x62191,a882)))+E(f302(x62191,x62192,x62193,x62194),f182(f892(f893(x62191,x62192),a882)))
% 218.59/218.72 [6374]P144(f822(x63741,x63742))+~P144(f822(f152(x63743,x63741),x63744))+~P144(f822(f822(f318(x63743),x63742),f822(f164(x63743),x63744)))
% 218.59/218.72 [6663]~P72(x66631)+E(f822(f822(f8(a885,x66631),x66632),f292(a885,x66633,f822(a107,x66634))),f2(x66631))+~P144(f822(f822(f227(a885),f822(a107,x66634)),x66633))
% 218.59/218.72 [6811]~P92(x68111)+E(f822(f822(f3(f892(x68111,a882)),f822(f291(x68111,x68112),x68113)),f822(f291(x68111,x68112),x68114)),f822(f291(x68111,x68114),x68113))+~P144(f822(f822(f226(x68111),x68112),x68114))
% 218.59/218.72 [6883]~E(x68833,x68834)+E(x68831,f2(a885))+P144(f822(f822(f318(x68832),x68833),f822(f164(x68832),f161(x68832,x68831,x68834))))
% 218.59/218.72 [7175]~P144(f822(f822(f318(f887(x71751)),x71754),f153(x71751,x71753)))+P144(f822(f822(f318(x71751),x71752),x71753))+~P144(f822(f822(f318(x71751),x71752),f822(f164(x71751),x71754)))
% 218.59/218.72 [7182]~P36(x71821,x71822)+P144(f822(f822(f318(x71821),f625(x71822,x71821,x71823)),x71823))+~P144(f822(f822(f318(x71821),x71824),x71823))
% 218.59/218.72 [7240]~P72(x72401)+E(f822(f822(f822(f64(x72401,x72402,f79(x72401)),x72403),f2(x72401)),x72404),f822(f822(f8(x72402,x72401),x72403),x72404))+~P144(f822(f60(x72402),x72404))
% 218.59/218.72 [7242]~P76(x72421)+E(f822(f822(f822(f64(x72421,x72422,f80(x72421)),x72423),f77(x72421)),x72424),f822(f822(f11(x72422,x72421),x72423),x72424))+~P144(f822(f60(x72422),x72424))
% 218.59/218.72 [7269]P26(x72691,x72692,x72693,x72694)+~E(f822(f34(x72692),f822(f299(x72691,x72692,x72693),x72694)),f822(f34(x72691),x72694))+~P144(f822(f60(x72691),x72694))
% 218.59/218.72 [7474]~P72(x74741)+E(f822(f822(f79(x74741),f822(x74742,x74743)),f822(f822(f8(a885,x74741),x74742),f294(a885,x74743,x74744))),f822(f822(f8(a885,x74741),x74742),f292(a885,x74743,x74744)))+~P144(f822(f822(f226(a885),x74743),x74744))
% 218.59/218.72 [7483]~P72(x74831)+~P26(x74832,x74831,x74833,x74834)+E(f822(f822(f8(x74831,x74831),f31(x74831)),f822(f299(x74832,x74831,x74833),x74834)),f822(f822(f8(x74832,x74831),x74833),x74834))
% 218.59/218.72 [7484]~P76(x74841)+~P26(x74842,x74841,x74843,x74844)+E(f822(f822(f11(x74841,x74841),f31(x74841)),f822(f299(x74842,x74841,x74843),x74844)),f822(f822(f11(x74842,x74841),x74843),x74844))
% 218.59/218.72 [7539]E(f822(f34(f893(x75391,x75392)),f302(x75391,x75392,x75393,x75394)),f822(f822(f79(a885),f822(f34(x75391),x75393)),f822(f34(x75392),x75394)))+~P144(f822(f60(x75392),x75394))+~P144(f822(f60(x75391),x75393))
% 218.59/218.72 [7624]E(x76241,x76242)+P144(f822(f822(f318(x76243),x76241),f822(f164(x76243),f162(x76243,x76242,x76244))))+~P144(f822(f822(f318(x76243),x76241),f822(f164(x76243),x76244)))
% 218.59/218.72 [7853]~P72(x78531)+E(f822(f822(f79(x78531),f822(f822(f8(a885,x78531),x78532),f822(f291(a885,x78533),x78534))),f822(x78532,x78534)),f822(f822(f8(a885,x78531),x78532),f822(f291(a885,x78533),f822(a107,x78534))))+P144(f822(f822(f227(a885),x78534),x78533))
% 218.59/218.72 [7908]~P26(x79081,x79082,x79083,f233(f892(x79081,a882)))+~P144(f822(f60(x79082),x79084))+P144(f822(f60(x79081),f822(f300(x79081,x79082,x79083),x79084)))
% 218.59/218.72 [8025]P144(f822(f822(f318(f887(x80251)),f822(f822(f143(x80251),x80252),x80253)),f153(x80251,x80254)))+~P144(f822(f822(f318(f887(x80251)),x80253),f153(x80251,x80254)))+~P144(f822(f822(f318(x80251),x80252),x80254))
% 218.59/218.72 [8114]~E(f822(f299(x81143,x81141,x81144),f233(f892(x81143,a882))),f233(f892(x81141,a882)))+P144(f822(f60(x81141),x81142))+~P144(f822(f60(x81143),f822(f300(x81143,x81141,x81144),x81142)))
% 218.59/218.72 [8209]~P26(x82091,x82093,x82094,x82092)+P144(f822(f60(x82091),x82092))+~P144(f822(f60(x82093),f822(f299(x82091,x82093,x82094),x82092)))
% 218.59/218.72 [8232]~E(x82322,x82323)+P144(f822(f822(f318(f891(x82321,x82321)),f822(f822(f243(x82321,x82321),x82322),x82323)),f254(x82321,x82324)))+~P144(f822(f822(f318(x82321),x82322),x82324))
% 218.59/218.72 [8265]~P72(x82651)+E(f822(f822(f79(x82651),f822(f822(f8(a885,x82651),x82652),f292(a885,x82653,x82654))),f822(x82652,f822(a107,x82654))),f822(f822(f8(a885,x82651),x82652),f292(a885,x82653,f822(a107,x82654))))+P144(f822(f822(f227(a885),f822(a107,x82654)),x82653))
% 218.59/218.72 [8325]P144(f822(x83251,x83252))+~P144(f822(x83251,f822(f822(f156(x83253),x83254),f680(x83251,x83254,x83253))))+~P144(f822(f822(f318(x83253),x83252),f822(f164(x83253),x83254)))
% 218.59/218.72 [8461]~P144(f822(f822(f318(x84611),x84612),f305(x84611,x84614)))+P144(f822(f822(f318(f887(x84611)),f822(f822(f143(x84611),x84612),x84613)),f305(f887(x84611),f149(x84611,x84614))))+~P144(f822(f822(f318(f887(x84611)),x84613),f305(f887(x84611),f149(x84611,x84614))))
% 218.59/218.72 [8474]~P26(x84742,x84743,x84744,f621(x84744,x84743,x84742,x84741))+P26(x84742,x84743,x84744,f37(f892(x84742,a882),x84741))+E(x84741,f182(f892(f892(x84742,a882),a882)))
% 218.59/218.72 [8735]E(x87351,x87352)+~P144(f822(f822(f318(f891(x87353,x87353)),f822(f822(f243(x87353,x87353),x87351),x87352)),f296(x87353,x87354)))+P144(f822(f822(f318(x87353),x87351),f822(f255(x87353,x87353),x87354)))
% 218.59/218.72 [8992]E(x89921,f2(a885))+P144(f822(x89922,x89923))+P144(f822(f822(f318(x89924),f788(x89922,x89923,x89921,x89924)),f822(f164(x89924),f161(x89924,x89921,x89923))))
% 218.59/218.72 [9004]E(x90041,f2(a885))+~P144(f822(x90043,x90044))+P144(f822(f822(f318(x90042),f787(x90043,x90044,x90041,x90042)),f822(f164(x90042),f161(x90042,x90041,x90044))))
% 218.59/218.72 [9008]P26(x90082,x90083,x90084,f37(f892(x90082,a882),x90081))+E(x90081,f182(f892(f892(x90082,a882),a882)))+P144(f822(f822(f318(f892(x90082,a882)),f621(x90084,x90083,x90082,x90081)),x90081))
% 218.59/218.72 [9139]P144(f822(f60(x91391),x91392))+~P144(f822(f60(x91394),f822(f299(x91391,x91394,x91393),x91392)))+P144(f822(f822(f318(x91391),f539(x91393,x91394,x91392,x91391)),x91392))
% 218.59/218.72 [9244]~P7(x92442)+E(f822(f822(f63(x92441,x92442,f822(f822(f10(x92442,f892(x92442,x92442),x92441),f96(x92442)),x92443)),f182(x92442)),x92444),f822(f822(f38(x92441,x92442),x92444),x92443))+~P144(f822(f60(x92441),x92444))
% 218.59/218.72 [9245]~P7(x92452)+E(f822(f822(f63(x92451,x92452,f822(f822(f10(x92452,f892(x92452,x92452),x92451),f97(x92452)),x92453)),f233(x92452)),x92454),f822(f822(f39(x92451,x92452),x92454),x92453))+~P144(f822(f60(x92451),x92454))
% 218.59/218.72 [9274]~P144(f822(f822(f276(a885),x92743),x92744))+P144(f822(f822(f276(a885),x92741),x92742))+P144(f822(f822(f227(f892(a885,a882)),f279(a885,f276(a885),x92741,x92742)),f279(a885,f276(a885),x92743,x92744)))
% 218.59/218.72 [9286]~P144(f822(f822(f276(a885),x92862),x92864))+~P144(f822(f822(f276(a885),x92863),x92861))+P144(f822(f822(f226(f892(a885,a882)),f279(a885,f276(a885),x92861,x92862)),f279(a885,f276(a885),x92863,x92864)))
% 218.59/218.72 [9326]P144(f822(x93261,x93262))+~P144(f822(x93261,f822(f822(f156(x93263),x93264),f712(x93262,x93261,x93264,x93263))))+~P144(f822(f822(f318(x93263),x93262),f822(f164(x93263),x93264)))
% 218.59/218.72 [9346]E(x93461,x93462)+~P144(f822(f822(f318(f891(x93463,x93463)),f822(f822(f243(x93463,x93463),x93461),x93462)),f296(x93463,x93464)))+P144(f822(f822(f318(f891(x93463,x93463)),f822(f822(f243(x93463,x93463),x93461),x93462)),f822(f822(f278(x93463,x93463,x93463),x93464),f296(x93463,x93464))))
% 218.59/218.72 [9394]~E(f822(f183(f887(x93941)),x93942),f822(f183(f887(x93941)),x93943))+~P144(f822(f822(f318(f891(f887(x93941),f887(x93941))),f822(f822(f243(f887(x93941),f887(x93941)),x93942),x93943)),f139(x93941,x93944)))+P144(f822(f822(f318(f891(f887(x93941),f887(x93941))),f822(f822(f243(f887(x93941),f887(x93941)),x93942),x93943)),f137(x93941,x93944)))
% 218.59/218.72 [9514]P144(f822(f822(f276(a885),x95141),x95142))+~P144(f822(f822(f276(a885),x95143),x95141))+~P144(f822(f822(f227(f892(a885,a882)),f279(a885,f276(a885),x95143,x95141)),f279(a885,f276(a885),x95144,x95142)))
% 218.59/218.72 [9515]P144(f822(f822(f276(a885),x95151),x95152))+~P144(f822(f822(f276(a885),x95153),x95151))+~P144(f822(f822(f226(f892(a885,a882)),f279(a885,f276(a885),x95153,x95151)),f279(a885,f276(a885),x95154,x95152)))
% 218.59/218.72 [9516]P144(f822(f822(f276(a885),x95161),x95162))+~P144(f822(f822(f276(a885),x95162),x95163))+~P144(f822(f822(f227(f892(a885,a882)),f279(a885,f276(a885),x95162,x95163)),f279(a885,f276(a885),x95161,x95164)))
% 218.59/218.72 [9517]P144(f822(f822(f276(a885),x95171),x95172))+~P144(f822(f822(f276(a885),x95172),x95173))+~P144(f822(f822(f226(f892(a885,a882)),f279(a885,f276(a885),x95172,x95173)),f279(a885,f276(a885),x95171,x95174)))
% 218.59/218.72 [9629]P30(x96291,f822(f822(f20(x96291,a882,a882),f822(f822(f10(a882,f892(a882,a882),x96291),a316),f822(f822(f10(a882,a882,x96291),a311),x96292))),f822(a314,x96293)),x96294)+~P144(f822(x96292,x96293))+~P34(x96291,x96292,f822(f822(f143(x96291),x96293),x96294))
% 218.59/218.72 [9792]~P30(x97921,f822(f822(f20(x97921,a882,a882),f822(f822(f10(a882,f892(a882,a882),x97921),a316),f822(f822(f10(a882,a882,x97921),a311),x97922))),f822(a314,x97923)),x97924)+~P144(f822(x97922,x97923))+P34(x97921,x97922,f822(f822(f143(x97921),x97923),x97924))
% 218.59/218.72 [9796]~P34(x97961,x97962,x97964)+~P30(x97961,f822(f822(f20(x97961,a882,a882),f822(f822(f10(a882,f892(a882,a882),x97961),a316),f822(f822(f10(a882,a882,x97961),a311),x97962))),f822(a314,x97963)),x97964)+P34(x97961,x97962,f822(f822(f143(x97961),x97963),x97964))
% 218.59/218.72 [9837]~P4(x98371)+E(f822(f822(f8(a885,x98371),f822(f822(f20(a885,x98371,x98371),f822(f822(f10(x98371,f892(x98371,x98371),a885),f3(x98371)),x98372)),f822(f822(f10(a885,x98371,a885),x98372),f822(f822(f9(a885,a885,a885),f79(a885)),f77(a885))))),f292(a885,x98373,x98374)),f2(x98371))+P144(f822(f822(f226(a885),x98373),x98374))
% 218.59/218.72 [10074]~P36(x100742,x100744)+~P26(x100742,x100741,x100743,f233(f892(x100742,a882)))+P36(x100741,f822(f299(f891(x100742,x100742),f891(x100741,x100741),f249(x100742,x100741,x100742,x100741,x100743,x100743)),x100744))
% 218.59/218.72 [10254]~E(f822(f183(f887(x102541)),x102543),f822(f183(f887(x102541)),x102542))+P144(f822(f822(f318(f891(f887(x102541),f887(x102541))),f822(f822(f243(f887(x102541),f887(x102541)),x102542),x102543)),f150(x102541,x102544)))+~P144(f822(f822(f248(x102541,x102541,a882),f822(f822(f9(x102541,f892(f891(x102541,x102541),a882),f892(x102541,a882)),f822(f822(f10(f892(x102541,f892(f892(f891(x102541,x102541),a882),a882)),f892(f892(f891(x102541,x102541),a882),f892(x102541,a882)),x102541),f9(x102541,f892(f891(x102541,x102541),a882),a882)),f822(f822(f10(f892(x102541,f891(x102541,x102541)),f892(x102541,f892(f892(f891(x102541,x102541),a882),a882)),x102541),f822(f10(f891(x102541,x102541),f892(f892(f891(x102541,x102541),a882),a882),x102541),f318(f891(x102541,x102541)))),f243(x102541,x102541)))),x102544)),f682(x102544,x102543,x102542,x102541)))
% 218.59/218.72 [6098]~P5(x60981)+~E(x60982,f2(x60981))+E(f822(f822(f35(x60981),f822(f822(f80(x60981),x60982),x60983)),f822(f822(f80(x60981),x60982),x60984)),f2(x60981))
% 218.59/218.72 [6141]E(x61411,f108(x61412))+E(x61413,f822(f822(f3(a885),f822(f183(f887(x61412)),x61411)),f77(a885)))+E(f136(x61412,f822(f822(f151(x61412,x61411),x61413),x61414)),f136(x61412,x61411))
% 218.59/218.72 [6178]E(x61781,x61782)+P144(f822(x61783,x61782))+~P144(f822(f822(f822(f298(x61784),x61781),x61783),x61782))
% 218.59/218.72 [6195]~P72(x61951)+~P144(f822(f129(x61952),x61954))+E(f822(f157(x61951),f822(f822(f146(x61952,x61951),x61953),x61954)),f822(f822(f8(x61952,x61951),x61953),f822(f164(x61952),x61954)))
% 218.59/218.72 [6212]~P76(x62122)+~P144(f822(f60(x62121),x62124))+E(f822(f822(f11(x62121,x62122),f822(f18(x62122,x62121),x62123)),x62124),f822(f822(f235(x62122),x62123),f822(f34(x62121),x62124)))
% 218.59/218.72 [6266]~P5(x62662)+E(x62661,f2(x62662))+E(f822(f822(f35(x62662),f822(f822(f80(x62662),x62663),x62661)),f822(f822(f80(x62662),x62664),x62661)),f822(f822(f35(x62662),x62663),x62664))
% 218.59/218.72 [6268]~P64(x62682)+E(x62681,f2(x62682))+E(f822(f822(f280(x62682),f822(f822(f80(x62682),x62683),x62681)),f822(f822(f80(x62682),x62684),x62681)),f822(f822(f280(x62682),x62683),x62684))
% 218.59/218.72 [6269]~P64(x62692)+E(x62691,f2(x62692))+E(f822(f822(f280(x62692),f822(f822(f80(x62692),x62691),x62693)),f822(f822(f80(x62692),x62691),x62694)),f822(f822(f280(x62692),x62693),x62694))
% 218.59/218.72 [6270]~P5(x62702)+E(x62701,f2(x62702))+E(f822(f822(f35(x62702),f822(f822(f80(x62702),x62701),x62703)),f822(f822(f80(x62702),x62701),x62704)),f822(f822(f35(x62702),x62703),x62704))
% 218.59/218.72 [6340]P144(f822(x63401,x63402))+~E(x63403,f822(f822(f79(a885),x63404),x63402))+~P144(f822(x63401,f822(f822(f3(a885),x63403),x63404)))
% 218.59/218.72 [6432]~P144(f822(x64322,x64323))+~P144(f822(f152(x64321,x64322),x64324))+P144(f822(f152(x64321,x64322),f822(f822(f143(x64321),x64323),x64324)))
% 218.59/218.72 [6475]E(x64751,f108(x64752))+~E(x64753,f822(f822(f3(a885),f822(f183(f887(x64752)),x64751)),f77(a885)))+E(f136(x64752,f822(f822(f151(x64752,x64751),x64753),x64754)),x64754)
% 218.59/218.72 [6499]~P92(x64991)+~P144(f822(f822(f227(x64991),x64992),x64994))+P144(f822(f822(f227(x64991),x64992),f822(f822(f181(x64991),x64993),x64994)))
% 218.59/218.72 [6501]~P92(x65011)+~P144(f822(f822(f227(x65011),x65012),x65013))+P144(f822(f822(f227(x65011),x65012),f822(f822(f181(x65011),x65013),x65014)))
% 218.59/218.72 [6502]~P99(x65021)+~P144(f822(f822(f227(x65021),x65022),x65024))+P144(f822(f822(f227(x65021),x65022),f822(f822(f96(x65021),x65023),x65024)))
% 218.59/218.72 [6503]~P99(x65031)+~P144(f822(f822(f227(x65031),x65032),x65033))+P144(f822(f822(f227(x65031),x65032),f822(f822(f96(x65031),x65033),x65034)))
% 218.59/218.72 [6505]~P92(x65051)+~P144(f822(f822(f226(x65051),x65052),x65054))+P144(f822(f822(f226(x65051),x65052),f822(f822(f181(x65051),x65053),x65054)))
% 218.59/218.72 [6507]~P92(x65071)+~P144(f822(f822(f226(x65071),x65072),x65073))+P144(f822(f822(f226(x65071),x65072),f822(f822(f181(x65071),x65073),x65074)))
% 218.59/218.72 [6508]~P99(x65081)+~P144(f822(f822(f226(x65081),x65082),x65084))+P144(f822(f822(f226(x65081),x65082),f822(f822(f96(x65081),x65083),x65084)))
% 218.59/218.72 [6509]~P99(x65091)+~P144(f822(f822(f226(x65091),x65092),x65093))+P144(f822(f822(f226(x65091),x65092),f822(f822(f96(x65091),x65093),x65094)))
% 218.59/218.72 [6510]~P112(x65101)+~P144(f822(f822(f276(x65101),x65102),x65104))+P144(f822(f822(f276(x65101),x65102),f822(f822(f80(x65101),x65103),x65104)))
% 218.59/218.72 [6511]~P112(x65111)+~P144(f822(f822(f276(x65111),x65112),x65113))+P144(f822(f822(f276(x65111),x65112),f822(f822(f80(x65111),x65113),x65114)))
% 218.59/218.72 [6605]~E(f822(f822(f156(x66051),x66052),x66053),x66054)+E(f822(f822(f151(x66051,x66052),x66053),x66054),x66052)+~P144(f822(f822(f227(a885),x66053),f822(f183(f887(x66051)),x66052)))
% 218.59/218.72 [6646]P144(f822(x66461,x66462))+~P144(f822(x66463,x66462))+~P144(f822(f822(f226(f892(x66464,a882)),x66463),x66461))
% 218.59/218.72 [6682]~E(f822(f822(f151(x66821,x66822),x66823),x66824),x66822)+E(f822(f822(f156(x66821),x66822),x66823),x66824)+~P144(f822(f822(f227(a885),x66823),f822(f183(f887(x66821)),x66822)))
% 218.59/218.72 [6698]~P144(f822(f152(x66981,x66982),x66984))+~P144(f822(f152(x66981,x66982),x66983))+P144(f822(f152(x66981,x66982),f822(f822(f126(x66981),x66983),x66984)))
% 218.59/218.72 [6807]E(x68071,f182(f892(x68072,a882)))+E(x68073,f182(f892(x68074,a882)))+~E(f822(f822(f245(x68074,x68072),x68073),f822(f18(f892(x68072,a882),x68074),x68071)),f182(f892(f891(x68074,x68072),a882)))
% 218.59/218.72 [6827]E(x68271,x68272)+P144(f822(f822(f318(x68273),x68271),x68274))+~P144(f822(f822(f318(x68273),x68271),f822(f822(f298(x68273),x68272),x68274)))
% 218.59/218.72 [6844]~P92(x68441)+P144(f822(f822(f227(x68441),x68442),x68443))+~P144(f822(f822(f227(x68441),x68442),f822(f822(f230(x68441),x68444),x68443)))
% 218.59/218.72 [6845]~P92(x68451)+P144(f822(f822(f227(x68451),x68452),x68453))+~P144(f822(f822(f227(x68451),x68452),f822(f822(f230(x68451),x68453),x68454)))
% 218.59/218.72 [6847]~P92(x68471)+P144(f822(f822(f226(x68471),x68472),x68473))+~P144(f822(f822(f226(x68471),x68472),f822(f822(f230(x68471),x68474),x68473)))
% 218.59/218.72 [6849]~P92(x68491)+P144(f822(f822(f226(x68491),x68492),x68493))+~P144(f822(f822(f226(x68491),x68492),f822(f822(f230(x68491),x68493),x68494)))
% 218.59/218.72 [6851]~P105(x68511)+P144(f822(f822(f226(x68511),x68512),x68513))+~P144(f822(f822(f226(x68511),x68512),f822(f822(f97(x68511),x68514),x68513)))
% 218.59/218.72 [6853]~P105(x68531)+P144(f822(f822(f226(x68531),x68532),x68533))+~P144(f822(f822(f226(x68531),x68532),f822(f822(f97(x68531),x68533),x68534)))
% 218.59/218.72 [6874]~E(f822(f822(f156(x68741),x68743),x68744),x68742)+P144(f822(f822(f318(x68741),x68742),f822(f164(x68741),x68743)))+~P144(f822(f822(f227(a885),x68744),f822(f183(f887(x68741)),x68743)))
% 218.59/218.72 [6885]~P92(x68851)+~P15(x68851,f822(f822(f143(x68851),x68852),f822(f822(f143(x68851),x68853),x68854)))+P144(f822(f822(f226(x68851),x68852),x68853))
% 218.59/218.72 [7038]~P30(x70382,x70381,x70383)+P144(f822(x70381,f822(f822(f156(x70382),x70383),x70384)))+~P144(f822(f822(f227(a885),x70384),f822(f183(f887(x70382)),x70383)))
% 218.59/218.72 [7056]E(x70561,f2(a1))+E(f822(f822(f35(a1),x70562),x70561),x70563)+~P144(f822(f48(x70562,x70561),f822(f822(f243(a1,a1),x70563),x70564)))
% 218.59/218.72 [7079]E(f44(a1,x70792,x70791),x70793)+E(x70791,f2(a1))+~P144(f822(f48(x70792,x70791),f822(f822(f243(a1,a1),x70794),x70793)))
% 218.59/218.72 [7196]P144(f822(f822(f318(x71961),x71962),x71963))+~P144(f822(f822(f318(x71961),x71962),x71964))+~P144(f822(f822(f227(f892(x71961,a882)),x71964),x71963))
% 218.59/218.72 [7200]P144(f822(f822(f318(x72001),x72002),x72003))+~P144(f822(f822(f318(x72001),x72002),x72004))+~P144(f822(f822(f226(f892(x72001,a882)),x72004),x72003))
% 218.59/218.72 [7211]~P119(x72111)+~E(x72113,f2(x72111))+P144(f822(f822(f276(x72111),f822(f822(f80(x72111),x72112),x72113)),f822(f822(f80(x72111),x72114),x72113)))
% 218.59/218.72 [7212]~P119(x72121)+~E(x72122,f2(x72121))+P144(f822(f822(f276(x72121),f822(f822(f80(x72121),x72122),x72123)),f822(f822(f80(x72121),x72122),x72124)))
% 218.59/218.72 [7313]P32(x73131,x73132,x73133)+~P144(f822(x73132,f822(f822(f156(x73131),x73133),x73134)))+~P144(f822(f822(f227(a885),x73134),f822(f183(f887(x73131)),x73133)))
% 218.59/218.72 [7439]~P109(x74392)+~P144(f822(f822(f227(f892(x74391,x74392)),x74393),x74394))+P144(f822(f822(f226(f892(x74391,x74392)),x74393),x74394))
% 218.59/218.72 [7571]~P144(f822(f822(f318(x75711),x75712),x75714))+P144(f822(f822(f318(x75711),x75712),f36(f892(x75711,a882),x75713)))+~P144(f822(f822(f318(f892(x75711,a882)),x75714),x75713))
% 218.59/218.72 [7573]~P112(x75731)+~P144(f822(f822(f226(a885),x75733),x75734))+P144(f822(f822(f276(x75731),f822(f822(f235(x75731),x75732),x75733)),f822(f822(f235(x75731),x75732),x75734)))
% 218.59/218.72 [7601]~P79(x76011)+~P144(f822(f822(f227(x76011),x76013),x76014))+P144(f822(f822(f227(x76011),f822(f822(f79(x76011),x76012),x76013)),f822(f822(f79(x76011),x76012),x76014)))
% 218.59/218.72 [7602]~P85(x76021)+~P144(f822(f822(f227(x76021),x76023),x76024))+P144(f822(f822(f227(x76021),f822(f822(f79(x76021),x76022),x76023)),f822(f822(f79(x76021),x76022),x76024)))
% 218.59/218.72 [7603]~P79(x76031)+~P144(f822(f822(f227(x76031),x76032),x76034))+P144(f822(f822(f227(x76031),f822(f822(f79(x76031),x76032),x76033)),f822(f822(f79(x76031),x76034),x76033)))
% 218.59/218.72 [7604]~P85(x76041)+~P144(f822(f822(f227(x76041),x76042),x76044))+P144(f822(f822(f227(x76041),f822(f822(f79(x76041),x76042),x76043)),f822(f822(f79(x76041),x76044),x76043)))
% 218.59/218.72 [7605]~P79(x76051)+~P144(f822(f822(f226(x76051),x76053),x76054))+P144(f822(f822(f226(x76051),f822(f822(f79(x76051),x76052),x76053)),f822(f822(f79(x76051),x76052),x76054)))
% 218.59/218.72 [7606]~P83(x76061)+~P144(f822(f822(f226(x76061),x76063),x76064))+P144(f822(f822(f226(x76061),f822(f822(f79(x76061),x76062),x76063)),f822(f822(f79(x76061),x76062),x76064)))
% 218.59/218.72 [7607]~P79(x76071)+~P144(f822(f822(f226(x76071),x76072),x76074))+P144(f822(f822(f226(x76071),f822(f822(f79(x76071),x76072),x76073)),f822(f822(f79(x76071),x76074),x76073)))
% 218.59/218.72 [7608]~P83(x76081)+~P144(f822(f822(f226(x76081),x76082),x76084))+P144(f822(f822(f226(x76081),f822(f822(f79(x76081),x76082),x76083)),f822(f822(f79(x76081),x76084),x76083)))
% 218.59/218.72 [7609]~P119(x76091)+~P144(f822(f822(f276(x76091),x76093),x76094))+P144(f822(f822(f276(x76091),f822(f822(f80(x76091),x76092),x76093)),f822(f822(f80(x76091),x76092),x76094)))
% 218.59/218.72 [7610]~P119(x76101)+~P144(f822(f822(f276(x76101),x76102),x76104))+P144(f822(f822(f276(x76101),f822(f822(f80(x76101),x76102),x76103)),f822(f822(f80(x76101),x76104),x76103)))
% 218.59/218.72 [7611]~P112(x76111)+~P144(f822(f822(f276(x76111),x76112),x76114))+P144(f822(f822(f276(x76111),f822(f822(f235(x76111),x76112),x76113)),f822(f822(f235(x76111),x76114),x76113)))
% 218.59/218.72 [7618]~P142(x76181)+~P95(x76181)+E(f822(f822(f79(x76181),f822(f822(f80(x76181),x76182),f822(f99(x76181),x76183))),f822(f822(f80(x76181),x76184),f822(f99(x76181),x76183))),f822(f822(f80(x76181),f822(f822(f79(x76181),x76182),x76184)),f822(f99(x76181),x76183)))
% 218.59/218.72 [7619]~P128(x76191)+~P95(x76191)+E(f822(f822(f3(x76191),f822(f822(f80(x76191),x76192),f822(f99(x76191),x76193))),f822(f822(f80(x76191),x76194),f822(f99(x76191),x76193))),f822(f822(f80(x76191),f822(f822(f3(x76191),x76192),x76194)),f822(f99(x76191),x76193)))
% 218.59/218.72 [7655]~P72(x76551)+E(f822(f822(f79(x76551),f822(x76552,x76553)),f822(f822(f8(a885,x76551),x76552),f292(a885,f822(a107,x76553),x76554))),f822(f822(f8(a885,x76551),x76552),f292(a885,x76553,x76554)))+~P144(f822(f822(f226(a885),x76553),x76554))
% 218.59/218.72 [7667]~P26(x76672,x76671,x76673,f822(f164(x76672),x76674))+~P144(f822(f129(x76672),x76674))+P144(f822(f129(x76671),f822(f822(f146(x76672,x76671),x76673),x76674)))
% 218.59/218.72 [7716]~P144(f822(f822(f227(a885),x77162),x77164))+~P144(f822(f822(f227(a885),x77161),x77163))+P144(f822(f822(f227(a885),f822(f822(f79(a885),x77161),x77162)),f822(f822(f79(a885),x77163),x77164)))
% 218.59/218.72 [7719]~P144(f822(f822(f227(a1),x77191),x77193))+~P144(f822(f822(f226(a1),x77192),x77194))+P144(f822(f822(f227(a1),f822(f822(f79(a1),x77191),x77192)),f822(f822(f79(a1),x77193),x77194)))
% 218.59/218.72 [7720]~P144(f822(f822(f226(a885),x77202),x77204))+~P144(f822(f822(f226(a885),x77201),x77203))+P144(f822(f822(f226(a885),f822(f822(f79(a885),x77201),x77202)),f822(f822(f79(a885),x77203),x77204)))
% 218.59/218.72 [7721]~P144(f822(f822(f226(a885),x77212),x77214))+~P144(f822(f822(f226(a885),x77211),x77213))+P144(f822(f822(f226(a885),f822(f822(f80(a885),x77211),x77212)),f822(f822(f80(a885),x77213),x77214)))
% 218.59/218.72 [7769]P144(f822(f822(f318(x77691),x77692),x77693))+~P144(f822(f822(f318(x77691),x77692),f37(f892(x77691,a882),x77694)))+~P144(f822(f822(f318(f892(x77691,a882)),x77693),x77694))
% 218.59/218.72 [7786]~P144(f822(x77861,f677(x77861,x77863,x77862)))+P144(f822(x77861,f822(f822(f156(x77862),x77863),x77864)))+~P144(f822(f822(f227(a885),x77864),f822(f183(f887(x77862)),x77863)))
% 218.59/218.72 [7791]P144(f822(x77911,x77912))+~P144(f822(f822(f318(x77914),x77912),f822(f164(x77914),x77913)))+P144(f822(f822(f227(a885),f680(x77911,x77913,x77914)),f822(f183(f887(x77914)),x77913)))
% 218.59/218.72 [7838]~P109(x78381)+~P144(f822(f822(f226(f892(x78382,x78381)),x78384),x78383))+~P144(f822(f822(f227(f892(x78382,x78381)),x78383),x78384))
% 218.59/218.72 [7882]~P144(f822(x78824,x78822))+~P144(f822(f822(f318(x78821),x78822),x78823))+P144(f822(f822(f318(x78821),x78822),f822(f822(f97(f892(x78821,a882)),x78823),f822(f253(x78821),x78824))))
% 218.59/218.72 [8032]~P144(f822(f822(f318(x80321),x80323),x80324))+~P144(f822(f822(f227(f892(x80321,a882)),x80322),x80324))+P144(f822(f822(f227(f892(x80321,a882)),x80322),f822(f822(f298(x80321),x80323),x80324)))
% 218.59/218.72 [8034]E(f822(f822(f97(f892(x80341,a882)),x80342),x80343),f182(f892(x80341,a882)))+~E(f822(f822(f97(f892(x80341,a882)),f36(f892(x80341,a882),x80344)),x80343),f182(f892(x80341,a882)))+~P144(f822(f822(f318(f892(x80341,a882)),x80342),x80344))
% 218.59/218.72 [8110]P144(f822(f822(f318(x81101),x81102),x81103))+~P144(f822(f822(f226(f892(x81101,a882)),x81103),f822(f822(f298(x81101),x81102),x81104)))+P144(f822(f822(f226(f892(x81101,a882)),x81103),x81104))
% 218.59/218.72 [8127]P144(f822(f822(f318(x81272),f677(x81271,x81273,x81272)),f822(f164(x81272),x81273)))+P144(f822(x81271,f822(f822(f156(x81272),x81273),x81274)))+~P144(f822(f822(f227(a885),x81274),f822(f183(f887(x81272)),x81273)))
% 218.59/218.72 [8135]~P144(f822(f822(f227(f892(x81351,a882)),x81352),x81354))+P144(f822(f822(f227(f892(x81351,a882)),x81352),x81353))+~P144(f822(f822(f227(f892(x81351,a882)),x81354),x81353))
% 218.59/218.72 [8136]~P144(f822(f822(f226(f892(x81361,a882)),x81362),x81364))+P144(f822(f822(f227(f892(x81361,a882)),x81362),x81363))+~P144(f822(f822(f227(f892(x81361,a882)),x81364),x81363))
% 218.59/218.72 [8137]~P144(f822(f822(f226(f892(x81371,a882)),x81374),x81373))+~P144(f822(f822(f227(f892(x81371,a882)),x81372),x81374))+P144(f822(f822(f227(f892(x81371,a882)),x81372),x81373))
% 218.59/218.72 [8138]~P144(f822(f822(f226(f892(x81381,a882)),x81382),x81384))+P144(f822(f822(f226(f892(x81381,a882)),x81382),x81383))+~P144(f822(f822(f226(f892(x81381,a882)),x81384),x81383))
% 218.59/218.72 [8181]~P144(f822(f822(f318(x81811),x81814),x81813))+~P144(f822(f822(f227(f892(x81811,a882)),x81812),f822(f822(f298(x81811),x81814),x81813)))+P144(f822(f822(f227(f892(x81811,a882)),x81812),x81813))
% 218.59/218.72 [8193]~P79(x81931)+P144(f822(f822(f227(x81931),x81932),x81933))+~P144(f822(f822(f227(x81931),f822(f822(f79(x81931),x81934),x81932)),f822(f822(f79(x81931),x81934),x81933)))
% 218.59/218.72 [8195]~P79(x81951)+P144(f822(f822(f227(x81951),x81952),x81953))+~P144(f822(f822(f227(x81951),f822(f822(f79(x81951),x81952),x81954)),f822(f822(f79(x81951),x81953),x81954)))
% 218.59/218.72 [8197]~P79(x81971)+P144(f822(f822(f226(x81971),x81972),x81973))+~P144(f822(f822(f226(x81971),f822(f822(f79(x81971),x81974),x81972)),f822(f822(f79(x81971),x81974),x81973)))
% 218.59/218.72 [8199]~P79(x81991)+P144(f822(f822(f226(x81991),x81992),x81993))+~P144(f822(f822(f226(x81991),f822(f822(f79(x81991),x81992),x81994)),f822(f822(f79(x81991),x81993),x81994)))
% 218.59/218.72 [8249]P144(f822(x82491,x82492))+~E(f822(f822(f130(x82493),f822(f183(f887(x82493)),f169(x82493,x82491,x82494))),x82494),f108(x82493))+~P144(f822(f822(f318(x82493),x82492),f822(f164(x82493),x82494)))
% 218.59/218.72 [8367]P144(f822(x83671,x83672))+~P144(f822(f822(f318(x83673),x83672),f822(f164(x83673),x83674)))+P144(f822(f822(f227(a885),f822(f183(f887(x83673)),f822(f128(x83673,x83671),x83674))),f822(f183(f887(x83673)),x83674)))
% 218.59/218.72 [8827]~P144(f822(x88271,f759(x88271,x88273,x88272,x88274)))+P144(f822(x88271,f822(f822(f156(x88272),x88273),x88274)))+~P144(f822(f822(f227(a885),x88274),f822(f183(f887(x88272)),x88273)))
% 218.59/218.72 [8851]~P26(x88514,x88513,x88511,f233(f892(x88514,a882)))+E(f822(x88511,f480(x88512,x88511,x88513,x88514)),x88512)+~P144(f822(f822(f318(x88513),x88512),f822(f299(x88514,x88513,x88511),f233(f892(x88514,a882)))))
% 218.59/218.72 [8915]E(f169(x89151,x89152,x89153),f822(f822(f167(x89151),x89154),x89153))+P144(f822(f822(f227(a885),f737(x89152,x89153,x89151,x89154)),x89154))+P144(f822(f822(f227(a885),x89154),f822(f183(f887(x89151)),x89153)))
% 218.59/218.72 [8918]E(f169(x89181,x89182,x89183),f822(f822(f167(x89181),x89184),x89183))+P144(f822(f822(f227(a885),f737(x89182,x89183,x89181,x89184)),x89184))+P144(f822(x89182,f822(f822(f156(x89181),x89183),x89184)))
% 218.59/218.72 [8953]P144(f822(x89531,x89532))+~P144(f822(f822(f318(x89534),x89532),f822(f164(x89534),x89533)))+P144(f822(f822(f227(a885),f712(x89532,x89531,x89533,x89534)),f822(f183(f887(x89534)),x89533)))
% 218.59/218.72 [8955]E(f169(x89551,x89552,x89553),f822(f822(f167(x89551),x89554),x89553))+P144(f822(f822(f227(a885),x89554),f822(f183(f887(x89551)),x89553)))+P144(f822(f822(f227(a885),f737(x89552,x89553,x89551,x89554)),f822(f183(f887(x89551)),x89553)))
% 218.59/218.72 [8962]E(f169(x89621,x89622,x89623),f822(f822(f167(x89621),x89624),x89623))+P144(f822(x89622,f822(f822(f156(x89621),x89623),x89624)))+P144(f822(f822(f227(a885),f737(x89622,x89623,x89621,x89624)),f822(f183(f887(x89621)),x89623)))
% 218.59/218.72 [8986]~P90(x89864)+P144(f822(f822(f318(x89861),f663(x89862,x89863,x89861,x89864)),x89863))+P144(f822(f822(f227(x89864),f2(x89864)),f822(f822(f11(x89861,x89864),x89862),x89863)))
% 218.59/218.72 [8987]~P90(x89874)+P144(f822(f822(f318(x89871),f664(x89872,x89873,x89871,x89874)),x89873))+P144(f822(f822(f226(x89874),f2(x89874)),f822(f822(f11(x89871,x89874),x89872),x89873)))
% 218.59/218.72 [9010]~P144(f822(f60(x90101),x90104))+P144(f822(f822(f318(x90101),f500(x90102,x90103,x90104,x90101)),x90104))+P144(f822(f60(f891(x90101,x90103)),f822(f822(f245(x90101,x90103),x90104),x90102)))
% 218.59/218.72 [9041]P144(f822(f822(f318(x90412),f759(x90411,x90413,x90412,x90414)),f822(f164(x90412),x90413)))+P144(f822(x90411,f822(f822(f156(x90412),x90413),x90414)))+~P144(f822(f822(f227(a885),x90414),f822(f183(f887(x90412)),x90413)))
% 218.59/218.72 [9170]P144(f822(f822(f226(a885),x91704),f822(f183(f887(x91702)),f169(x91702,x91703,x91701))))+P144(f822(f822(f227(a885),f738(x91701,x91702,x91703,x91704)),x91704))+~P144(f822(f822(f226(a885),x91704),f822(f183(f887(x91702)),x91701)))
% 218.59/218.72 [9330]E(f169(x93301,x93302,x93303),f822(f822(f167(x93301),x93304),x93303))+~P144(f822(x93302,f822(f822(f156(x93301),x93303),f737(x93302,x93303,x93301,x93304))))+P144(f822(f822(f227(a885),x93304),f822(f183(f887(x93301)),x93303)))
% 218.59/218.72 [9336]E(f169(x93361,x93362,x93363),f822(f822(f167(x93361),x93364),x93363))+~P144(f822(x93362,f822(f822(f156(x93361),x93363),f737(x93362,x93363,x93361,x93364))))+P144(f822(x93362,f822(f822(f156(x93361),x93363),x93364)))
% 218.59/218.72 [9340]~P144(f822(f60(x93401),x93403))+~P144(f822(f60(x93402),f822(x93404,f500(x93404,x93402,x93403,x93401))))+P144(f822(f60(f891(x93401,x93402)),f822(f822(f245(x93401,x93402),x93403),x93404)))
% 218.59/218.72 [9348]~P90(x93481)+~P144(f822(f822(f227(x93481),f2(x93481)),f822(x93483,f663(x93483,x93484,x93482,x93481))))+P144(f822(f822(f227(x93481),f2(x93481)),f822(f822(f11(x93482,x93481),x93483),x93484)))
% 218.59/218.72 [9349]~P90(x93491)+~P144(f822(f822(f226(x93491),f2(x93491)),f822(x93493,f664(x93493,x93494,x93492,x93491))))+P144(f822(f822(f226(x93491),f2(x93491)),f822(f822(f11(x93492,x93491),x93493),x93494)))
% 218.59/218.72 [9355]~E(f822(f183(f887(x93554)),x93552),f822(f183(f887(x93554)),x93553))+P144(f822(f822(f318(f891(f887(x93554),f887(x93554))),f822(f822(f243(f887(x93554),f887(x93554)),x93553),x93552)),f150(x93554,x93551)))+P144(f822(f822(f227(a885),f667(x93551,x93552,x93553,x93554)),f822(f183(f887(x93554)),x93553)))
% 218.59/218.72 [9407]~P144(f822(x94073,f822(f822(f156(x94072),x94074),f738(x94074,x94072,x94073,x94071))))+P144(f822(f822(f226(a885),x94071),f822(f183(f887(x94072)),f169(x94072,x94073,x94074))))+~P144(f822(f822(f226(a885),x94071),f822(f183(f887(x94072)),x94074)))
% 218.59/218.72 [9485]E(f822(f822(f167(x94851),f678(x94852,x94853,x94854,x94851)),x94853),f822(f822(f167(x94851),f678(x94852,x94853,x94854,x94851)),x94854))+~P144(f822(f822(f318(f891(f887(x94851),f887(x94851))),f822(f822(f243(f887(x94851),f887(x94851)),x94854),x94853)),f139(x94851,x94852)))+P144(f822(f822(f227(a885),f822(f183(f887(x94851)),x94854)),f822(f183(f887(x94851)),x94853)))
% 218.59/218.72 [9549]~P144(f822(f822(f227(a885),f2(a885)),x95493))+~P144(f822(f822(f227(a885),x95494),x95491))+P144(f822(f822(f227(a885),f822(f822(f79(a885),f822(f822(f80(a885),x95491),f44(a885,x95492,x95493))),x95494)),f822(f822(f80(a885),x95491),x95493)))
% 218.59/218.72 [9736]~P109(x97362)+~P144(f822(f822(f226(x97362),f822(x97363,f478(x97364,x97363,x97361,x97362))),f822(x97364,f478(x97364,x97363,x97361,x97362))))+P144(f822(f822(f226(f892(x97361,x97362)),x97363),x97364))
% 218.59/218.72 [9841]~P4(x98411)+E(f822(f822(f8(a885,x98411),f822(f822(f20(a885,x98411,x98411),f822(f822(f10(x98411,f892(x98411,x98411),a885),f3(x98411)),x98412)),f822(f822(f10(a885,x98411,a885),x98412),f822(f822(f9(a885,a885,a885),f79(a885)),f77(a885))))),f292(a885,x98413,x98414)),f822(f822(f3(x98411),f822(x98412,x98413)),f822(x98412,f822(f822(f79(a885),x98414),f77(a885)))))+~P144(f822(f822(f226(a885),x98413),x98414))
% 218.59/218.72 [6790]~P5(x67901)+E(f822(f822(f35(x67901),f822(f822(f80(x67901),x67902),x67903)),x67904),f822(f822(f80(x67901),x67902),f822(f822(f35(x67901),x67903),x67904)))+~P144(f822(f822(f276(x67901),x67904),x67903))
% 218.59/218.72 [6878]E(f822(f822(f126(x68781),x68782),x68783),x68784)+~E(x68783,f822(f822(f130(x68781),f822(f183(f887(x68781)),x68782)),x68784))+~E(f822(f822(f167(x68781),f822(f183(f887(x68781)),x68782)),x68784),x68782)
% 218.59/218.72 [6936]~P65(x69362)+E(x69361,f2(x69362))+E(f822(f822(f280(x69362),f822(f822(f235(x69362),x69363),x69364)),f822(f822(f235(x69362),x69361),x69364)),f822(f822(f235(x69362),f822(f822(f280(x69362),x69363),x69361)),x69364))
% 218.59/218.72 [7087]~P5(x70871)+E(f822(f822(f35(x70871),f822(f822(f80(x70871),x70872),x70873)),x70874),f822(f822(f80(x70871),f822(f822(f35(x70871),x70872),x70874)),x70873))+~P144(f822(f822(f276(x70871),x70874),x70872))
% 218.59/218.72 [7095]~P92(x70951)+~P144(f822(f822(f227(x70951),x70953),x70954))+P144(f822(f822(f227(x70951),f822(f822(f230(x70951),x70952),x70953)),x70954))
% 218.59/218.72 [7097]~P92(x70971)+~P144(f822(f822(f227(x70971),x70972),x70974))+P144(f822(f822(f227(x70971),f822(f822(f230(x70971),x70972),x70973)),x70974))
% 218.59/218.72 [7098]~P105(x70981)+~P144(f822(f822(f227(x70981),x70983),x70984))+P144(f822(f822(f227(x70981),f822(f822(f97(x70981),x70982),x70983)),x70984))
% 218.59/218.72 [7099]~P105(x70991)+~P144(f822(f822(f227(x70991),x70992),x70994))+P144(f822(f822(f227(x70991),f822(f822(f97(x70991),x70992),x70993)),x70994))
% 218.59/218.72 [7101]~P92(x71011)+~P144(f822(f822(f226(x71011),x71013),x71014))+P144(f822(f822(f226(x71011),f822(f822(f230(x71011),x71012),x71013)),x71014))
% 218.59/218.72 [7103]~P92(x71031)+~P144(f822(f822(f226(x71031),x71032),x71034))+P144(f822(f822(f226(x71031),f822(f822(f230(x71031),x71032),x71033)),x71034))
% 218.59/218.72 [7104]~P105(x71041)+~P144(f822(f822(f226(x71041),x71043),x71044))+P144(f822(f822(f226(x71041),f822(f822(f97(x71041),x71042),x71043)),x71044))
% 218.59/218.72 [7105]~P105(x71051)+~P144(f822(f822(f226(x71051),x71052),x71054))+P144(f822(f822(f226(x71051),f822(f822(f97(x71051),x71052),x71053)),x71054))
% 218.59/218.72 [7129]~P144(f822(x71293,x71294))+~P144(f822(x71292,x71294))+P144(f822(f822(f822(f97(f892(x71291,a882)),x71292),x71293),x71294))
% 218.59/218.72 [7399]~P5(x73991)+E(f822(f822(f35(x73991),f822(f822(f235(x73991),x73992),x73993)),f822(f822(f235(x73991),x73994),x73993)),f822(f822(f235(x73991),f822(f822(f35(x73991),x73992),x73994)),x73993))+~P144(f822(f822(f276(x73991),x73994),x73992))
% 218.59/218.72 [7645]~P72(x76451)+E(f822(f822(f79(x76451),f822(x76452,x76453)),f822(f822(f8(a885,x76451),x76452),f822(f291(a885,f822(a107,x76453)),x76454))),f822(f822(f8(a885,x76451),x76452),f822(f291(a885,x76453),x76454)))+~P144(f822(f822(f227(a885),x76453),x76454))
% 218.59/218.72 [7663]E(x76631,x76632)+P144(f822(f822(f164(x76633),x76634),x76632))+~P144(f822(f822(f164(x76633),f822(f822(f143(x76633),x76631),x76634)),x76632))
% 218.59/218.72 [7674]~P92(x76741)+P144(f822(f822(f227(x76741),x76742),x76743))+~P144(f822(f822(f227(x76741),f822(f822(f181(x76741),x76744),x76742)),x76743))
% 218.59/218.72 [7675]~P92(x76751)+P144(f822(f822(f227(x76751),x76752),x76753))+~P144(f822(f822(f227(x76751),f822(f822(f181(x76751),x76752),x76754)),x76753))
% 218.59/218.72 [7677]~P92(x76771)+P144(f822(f822(f226(x76771),x76772),x76773))+~P144(f822(f822(f226(x76771),f822(f822(f181(x76771),x76774),x76772)),x76773))
% 218.59/218.72 [7679]~P92(x76791)+P144(f822(f822(f226(x76791),x76792),x76793))+~P144(f822(f822(f226(x76791),f822(f822(f181(x76791),x76792),x76794)),x76793))
% 218.59/218.72 [7681]~P99(x76811)+P144(f822(f822(f226(x76811),x76812),x76813))+~P144(f822(f822(f226(x76811),f822(f822(f96(x76811),x76814),x76812)),x76813))
% 218.59/218.72 [7683]~P99(x76831)+P144(f822(f822(f226(x76831),x76832),x76833))+~P144(f822(f822(f226(x76831),f822(f822(f96(x76831),x76832),x76834)),x76833))
% 218.59/218.72 [7684]~P112(x76841)+P144(f822(f822(f276(x76841),x76842),x76843))+~P144(f822(f822(f276(x76841),f822(f822(f80(x76841),x76844),x76842)),x76843))
% 218.59/218.72 [7685]~P112(x76851)+P144(f822(f822(f276(x76851),x76852),x76853))+~P144(f822(f822(f276(x76851),f822(f822(f80(x76851),x76852),x76854)),x76853))
% 218.59/218.72 [7761]~P144(f822(f822(f318(x77611),x77612),x77614))+P144(f822(f822(f318(x77611),x77612),x77613))+P144(f822(f822(f318(x77611),x77612),f822(f822(f3(f892(x77611,a882)),x77614),x77613)))
% 218.59/218.72 [7845]P144(f822(x78451,x78452))+P144(f822(x78453,x78452))+~P144(f822(f822(f822(f96(f892(x78454,a882)),x78453),x78451),x78452))
% 218.59/218.72 [7856]~P144(f822(f822(f318(x78561),x78562),x78564))+~P144(f822(f822(f318(x78561),x78562),x78563))+P144(f822(f822(f318(x78561),x78562),f822(f822(f97(f892(x78561,a882)),x78563),x78564)))
% 218.59/218.72 [7909]~P92(x79091)+~P144(f822(f60(x79091),x79094))+E(f822(f822(f63(x79091,x79091,f230(x79091)),x79092),f822(f822(f298(x79091),x79093),x79094)),f822(f822(f230(x79091),x79093),f822(f822(f63(x79091,x79091,f230(x79091)),x79092),x79094)))
% 218.59/218.72 [7910]~P92(x79101)+~P144(f822(f60(x79101),x79104))+E(f822(f822(f63(x79101,x79101,f181(x79101)),x79102),f822(f822(f298(x79101),x79103),x79104)),f822(f822(f181(x79101),x79103),f822(f822(f63(x79101,x79101,f181(x79101)),x79102),x79104)))
% 218.59/218.72 [7911]~P99(x79111)+~P144(f822(f60(x79111),x79114))+E(f822(f822(f63(x79111,x79111,f96(x79111)),x79112),f822(f822(f298(x79111),x79113),x79114)),f822(f822(f96(x79111),x79113),f822(f822(f63(x79111,x79111,f96(x79111)),x79112),x79114)))
% 218.59/218.72 [7912]~P105(x79121)+~P144(f822(f60(x79121),x79124))+E(f822(f822(f63(x79121,x79121,f97(x79121)),x79122),f822(f822(f298(x79121),x79123),x79124)),f822(f822(f97(x79121),x79123),f822(f822(f63(x79121,x79121,f97(x79121)),x79122),x79124)))
% 218.59/218.72 [7914]~P142(x79141)+~P95(x79141)+E(f822(f822(f79(x79141),f822(f822(f80(x79141),f822(f99(x79141),x79142)),x79143)),f822(f822(f80(x79141),f822(f99(x79141),x79142)),x79144)),f822(f822(f80(x79141),f822(f99(x79141),x79142)),f822(f822(f79(x79141),x79143),x79144)))
% 218.59/218.72 [7915]~P128(x79151)+~P95(x79151)+E(f822(f822(f3(x79151),f822(f822(f80(x79151),f822(f99(x79151),x79152)),x79153)),f822(f822(f80(x79151),f822(f99(x79151),x79152)),x79154)),f822(f822(f80(x79151),f822(f99(x79151),x79152)),f822(f822(f3(x79151),x79153),x79154)))
% 218.59/218.72 [8030]E(x80301,x80302)+P144(f822(f822(f318(x80303),x80301),f822(f164(x80303),x80304)))+~P144(f822(f822(f318(x80303),x80301),f822(f164(x80303),f822(f822(f143(x80303),x80302),x80304))))
% 218.59/218.72 [8204]P56(x82041,x82042,x82043)+~P56(x82041,x82042,x82044)+~P144(f822(f822(f226(f892(f891(x82041,x82042),a882)),x82043),x82044))
% 218.59/218.72 [8251]P144(f822(f822(f318(x82511),x82512),x82513))+P144(f822(f822(f318(x82511),x82512),x82514))+~P144(f822(f822(f318(x82511),x82512),f822(f822(f96(f892(x82511,a882)),x82514),x82513)))
% 218.59/218.72 [8261]~P54(x82611,x82614,x82613)+~P144(f822(f822(f318(x82611),x82612),x82614))+P144(f822(f822(f318(f891(x82611,x82611)),f822(f822(f243(x82611,x82611),x82612),x82612)),x82613))
% 218.59/218.72 [8273]~P144(f822(f60(x82732),x82734))+~P144(f822(f60(x82731),x82733))+P144(f822(f60(f891(x82731,x82732)),f822(f822(f245(x82731,x82732),x82733),f822(f18(f892(x82732,a882),x82731),x82734))))
% 218.59/218.72 [8274]~P144(f822(f822(f318(x82741),x82742),x82744))+~P144(f822(f822(f226(f892(x82741,a882)),x82743),x82744))+P144(f822(f822(f226(f892(x82741,a882)),f822(f822(f298(x82741),x82742),x82743)),x82744))
% 218.59/218.72 [8281]~P1(x82812)+~P76(x82812)+E(f822(f822(f11(x82811,x82812),f822(f822(f10(a885,x82812,x82811),f95(x82812)),x82813)),x82814),f822(f95(x82812),f822(f822(f11(x82811,a885),x82813),x82814)))
% 218.59/218.72 [8282]~P127(x82822)+~P76(x82822)+E(f822(f822(f11(x82821,x82822),f822(f822(f10(a1,x82822,x82821),f98(x82822)),x82823)),x82824),f822(f98(x82822),f822(f822(f11(x82821,a1),x82823),x82824)))
% 218.59/218.72 [8306]E(f822(f822(f3(f892(x83061,a882)),x83062),f822(f822(f3(f892(x83061,a882)),x83063),x83064)),x83064)+~P144(f822(f822(f226(f892(x83061,a882)),x83062),x83063))+~P144(f822(f822(f226(f892(x83061,a882)),x83064),x83062))
% 218.59/218.72 [8401]~P144(f822(f60(x84011),x84014))+E(f822(f822(f3(a885),f822(f822(f8(x84011,a885),x84012),x84013)),f822(f822(f8(x84011,a885),x84012),x84014)),f822(f822(f8(x84011,a885),x84012),f822(f822(f3(f892(x84011,a882)),x84013),x84014)))+~P144(f822(f822(f226(f892(x84011,a882)),x84014),x84013))
% 218.59/218.72 [8548]~P10(x85481,x85484,x85483)+~P144(f822(f822(f318(x85481),x85482),x85484))+P144(f822(f822(f318(x85481),x85482),f822(f274(x85481,x85481,x85483),f822(f822(f298(x85481),x85482),f182(f892(x85481,a882))))))
% 218.59/218.72 [8609]~P144(f822(f822(f226(f892(x86091,a882)),x86092),x86093))+~P144(f822(f822(f226(f892(x86091,a882)),x86092),x86094))+P144(f822(f822(f226(f892(x86091,a882)),x86092),f822(f822(f97(f892(x86091,a882)),x86093),x86094)))
% 218.59/218.72 [8705]E(x87051,f182(f892(x87052,a882)))+P144(f822(f60(x87053),x87054))+~P144(f822(f60(f891(x87053,x87052)),f822(f822(f245(x87053,x87052),x87054),f822(f18(f892(x87052,a882),x87053),x87051))))
% 218.59/218.72 [8706]E(x87061,f182(f892(x87062,a882)))+P144(f822(f60(x87063),x87064))+~P144(f822(f60(f891(x87062,x87063)),f822(f822(f245(x87062,x87063),x87061),f822(f18(f892(x87063,a882),x87062),x87064))))
% 218.59/218.72 [8769]P144(f822(f822(f318(x87691),x87692),f305(x87691,x87693)))+~P144(f822(f822(f318(x87691),x87694),f305(x87691,x87693)))+~P144(f822(f822(f318(f891(x87691,x87691)),f822(f822(f243(x87691,x87691),x87692),x87694)),x87693))
% 218.59/218.72 [8820]~P36(x88201,x88204)+P144(f822(f822(f318(f891(x88201,x88201)),f822(f822(f243(x88201,x88201),x88203),x88202)),f296(x88201,x88204)))+P36(x88201,f822(f822(f298(f891(x88201,x88201)),f822(f822(f243(x88201,x88201),x88202),x88203)),x88204))
% 218.59/218.72 [8821]~P59(x88211,x88214)+P144(f822(f822(f318(f891(x88211,x88211)),f822(f822(f243(x88211,x88211),x88213),x88212)),f296(x88211,x88214)))+P59(x88211,f822(f822(f298(f891(x88211,x88211)),f822(f822(f243(x88211,x88211),x88212),x88213)),x88214))
% 218.59/218.72 [8900]~E(x89002,x89003)+~P144(f822(f822(f318(x89001),x89002),f822(f164(x89001),x89004)))+P144(f822(f822(f318(f891(x89001,x89001)),f822(f822(f243(x89001,x89001),x89002),x89003)),f822(f164(f891(x89001,x89001)),f822(f822(f173(x89001,x89001),x89004),x89004))))
% 218.59/218.72 [8985]~E(x89853,x89854)+P144(f822(f822(f248(x89851,x89851,a882),a314),x89852))+~P144(f822(f822(f318(f891(x89851,x89851)),x89852),f822(f164(f891(x89851,x89851)),f822(f822(f173(x89851,x89851),x89853),x89854))))
% 218.59/218.72 [9026]P144(f822(f822(f318(f891(f887(x90261),f887(x90261))),f822(f822(f243(f887(x90261),f887(x90261)),x90262),x90263)),f139(x90261,x90264)))+~E(f822(f822(f167(x90261),f822(f183(f887(x90261)),x90262)),x90263),x90262)+~P144(f822(f822(f227(a885),f822(f183(f887(x90261)),x90262)),f822(f183(f887(x90261)),x90263)))
% 218.59/218.72 [9029]~P53(x90291,x90294)+~P144(f822(f822(f318(f891(x90291,x90291)),f822(f822(f243(x90291,x90291),x90293),x90292)),x90294))+P144(f822(f822(f318(f891(x90291,x90291)),f822(f822(f243(x90291,x90291),x90292),x90293)),x90294))
% 218.59/218.72 [9121]~P144(f822(f60(x91211),x91214))+P144(f822(f822(f318(x91211),f375(x91212,x91213,x91214,x91211)),x91214))+P144(f822(f60(x91213),f822(f822(f38(x91211,f892(x91213,a882)),x91214),x91212)))
% 218.59/218.72 [9122]~P144(f822(f60(x91221),x91224))+P144(f822(f822(f318(x91221),f560(x91222,x91223,x91224,x91221)),x91224))+P144(f822(f60(x91223),f822(f822(f38(x91221,f892(x91223,a882)),x91224),x91222)))
% 218.59/218.72 [9216]P144(f822(f822(f318(f891(x92161,x92161)),x92162),f822(f822(f278(x92161,x92161,x92161),x92163),f296(x92161,x92163))))+~P144(f822(f822(f227(a885),f2(a885)),x92164))+~P144(f822(f822(f318(f891(x92161,x92161)),x92162),f822(f822(f175(f891(x92161,x92161),a882),x92164),x92163)))
% 218.59/218.72 [9224]~P36(x92241,x92242)+~P144(f822(f822(f318(f891(x92241,x92241)),f822(f822(f243(x92241,x92241),x92244),x92243)),x92242))+~P144(f822(f822(f318(f891(x92241,x92241)),f822(f822(f243(x92241,x92241),x92243),x92244)),x92242))
% 218.59/218.72 [9347]~P144(f822(f60(x93471),x93474))+E(f822(f822(f8(x93471,a885),f822(f822(f10(f892(x93472,a882),a885,x93471),f34(x93472)),x93473)),x93474),f822(f34(f891(x93471,x93472)),f822(f822(f245(x93471,x93472),x93474),x93473)))+P144(f822(f822(f318(x93471),f503(x93473,x93472,x93474,x93471)),x93474))
% 218.59/218.72 [9351]~P144(f822(f129(x93511),x93512))+P144(f822(f129(x93511),f822(f822(f151(x93511,x93512),x93513),x93514)))+P144(f822(f822(f318(x93511),x93514),f822(f822(f3(f892(x93511,a882)),f822(f164(x93511),x93512)),f822(f822(f298(x93511),f822(f822(f156(x93511),x93512),x93513)),f182(f892(x93511,a882))))))
% 218.59/218.72 [9365]~P144(f822(f60(x93652),x93653))+~P144(f822(f60(x93651),f822(x93654,f375(x93654,x93651,x93653,x93652))))+P144(f822(f60(x93651),f822(f822(f38(x93652,f892(x93651,a882)),x93653),x93654)))
% 218.59/218.72 [9366]~P144(f822(f60(x93662),x93663))+~P144(f822(f60(x93661),f822(x93664,f560(x93664,x93661,x93663,x93662))))+P144(f822(f60(x93661),f822(f822(f38(x93662,f892(x93661,a882)),x93663),x93664)))
% 218.59/218.72 [9444]~P144(f822(f822(f318(f891(x94441,x94441)),x94442),f822(f822(f278(x94441,x94441,x94441),x94444),f296(x94441,x94444))))+P144(f822(f822(f318(f891(x94441,x94441)),x94442),f822(f822(f278(x94441,x94441,x94441),x94443),f296(x94441,x94443))))+~P144(f822(f822(f226(f892(f891(x94441,x94441),a882)),x94444),x94443))
% 218.59/218.72 [9453]E(f822(f822(f167(x94531),f678(x94534,x94533,x94532,x94531)),x94533),f822(f822(f167(x94531),f678(x94534,x94533,x94532,x94531)),x94532))+~P144(f822(f822(f318(f891(f887(x94531),f887(x94531))),f822(f822(f243(f887(x94531),f887(x94531)),x94532),x94533)),f139(x94531,x94534)))+E(f822(f822(f167(x94531),f822(f183(f887(x94531)),x94532)),x94533),x94532)
% 218.59/218.72 [9469]~P144(f822(f60(x94691),x94694))+E(f822(f822(f8(x94691,a885),f822(f822(f10(f892(x94692,a882),a885,x94691),f34(x94692)),x94693)),x94694),f822(f34(f891(x94691,x94692)),f822(f822(f245(x94691,x94692),x94694),x94693)))+~P144(f822(f60(x94692),f822(x94693,f503(x94693,x94692,x94694,x94691))))
% 218.59/218.72 [9472]~E(f822(f183(f887(x94721)),x94723),f822(f183(f887(x94721)),x94722))+P144(f822(f822(f318(f891(f887(x94721),f887(x94721))),f822(f822(f243(f887(x94721),f887(x94721)),x94722),x94723)),f150(x94721,x94724)))+P144(f822(f822(f318(f891(x94721,x94721)),f682(x94724,x94723,x94722,x94721)),f822(f164(f891(x94721,x94721)),f822(f822(f173(x94721,x94721),x94722),x94723))))
% 218.59/218.72 [9560]~P144(f822(f822(f318(f891(f887(x95601),f887(x95601))),f822(f822(f243(f887(x95601),f887(x95601)),x95602),x95603)),f139(x95601,x95604)))+E(f822(f822(f167(x95601),f822(f183(f887(x95601)),x95602)),x95603),x95602)+P144(f822(f822(f227(a885),f678(x95604,x95603,x95602,x95601)),f822(f822(f230(a885),f822(f183(f887(x95601)),x95602)),f822(f183(f887(x95601)),x95603))))
% 218.59/218.72 [9580]~P144(f822(f822(f318(f891(f887(x95801),f887(x95801))),f822(f822(f243(f887(x95801),f887(x95801)),x95802),x95803)),f139(x95801,x95804)))+P144(f822(f822(f227(a885),f822(f183(f887(x95801)),x95802)),f822(f183(f887(x95801)),x95803)))+P144(f822(f822(f227(a885),f678(x95804,x95803,x95802,x95801)),f822(f822(f230(a885),f822(f183(f887(x95801)),x95802)),f822(f183(f887(x95801)),x95803))))
% 218.59/218.72 [9981]~P144(f822(f822(f318(f891(f887(x99811),f887(x99811))),f822(f822(f243(f887(x99811),f887(x99811)),x99812),x99813)),f139(x99811,x99814)))+E(f822(f822(f167(x99811),f822(f183(f887(x99811)),x99812)),x99813),x99812)+P144(f822(f822(f318(f891(x99811,x99811)),f822(f822(f243(x99811,x99811),f822(f822(f156(x99811),x99812),f678(x99814,x99813,x99812,x99811))),f822(f822(f156(x99811),x99813),f678(x99814,x99813,x99812,x99811)))),x99814))
% 218.59/218.72 [9982]~P144(f822(f822(f318(f891(f887(x99821),f887(x99821))),f822(f822(f243(f887(x99821),f887(x99821)),x99822),x99823)),f139(x99821,x99824)))+P144(f822(f822(f227(a885),f822(f183(f887(x99821)),x99822)),f822(f183(f887(x99821)),x99823)))+P144(f822(f822(f318(f891(x99821,x99821)),f822(f822(f243(x99821,x99821),f822(f822(f156(x99821),x99822),f678(x99824,x99823,x99822,x99821))),f822(f822(f156(x99821),x99823),f678(x99824,x99823,x99822,x99821)))),x99824))
% 218.59/218.72 [10052]~E(f822(f183(f887(x100521)),x100522),f822(f183(f887(x100521)),x100523))+P144(f822(f822(f318(f891(f887(x100521),f887(x100521))),f822(f822(f243(f887(x100521),f887(x100521)),x100522),x100523)),f150(x100521,x100524)))+~P144(f822(f822(f318(f891(x100521,x100521)),f822(f822(f243(x100521,x100521),f822(f822(f156(x100521),x100522),f667(x100524,x100523,x100522,x100521))),f822(f822(f156(x100521),x100523),f667(x100524,x100523,x100522,x100521)))),x100524))
% 218.59/218.72 [10191]~P72(x101911)+~P144(f822(f60(x101912),x101914))+E(f822(f157(x101911),f822(f822(f146(x101912,x101911),x101913),f89(f887(x101912),f822(f822(f20(f887(x101912),a882,a882),f822(f822(f10(a882,f892(a882,a882),f887(x101912)),a315),f822(f822(f9(f887(x101912),f892(x101912,a882),a882),f822(f822(f10(f892(x101912,a882),f892(f892(x101912,a882),a882),f887(x101912)),a314),f164(x101912))),x101914))),f129(x101912))))),f225(x101912,x101911,x101913,x101914))
% 218.59/218.72 [7485]~P64(x74852)+E(x74851,f2(x74852))+E(f822(f822(f280(x74852),f822(f822(f79(x74852),x74853),f822(f822(f80(x74852),x74854),x74851))),x74851),f822(f822(f79(x74852),x74854),f822(f822(f280(x74852),x74853),x74851)))
% 218.59/218.72 [7486]~P5(x74862)+E(x74861,f2(x74862))+E(f822(f822(f35(x74862),f822(f822(f79(x74862),x74863),f822(f822(f80(x74862),x74864),x74861))),x74861),f822(f822(f79(x74862),x74864),f822(f822(f35(x74862),x74863),x74861)))
% 218.59/218.72 [7487]~P5(x74872)+E(x74871,f2(x74872))+E(f822(f822(f35(x74872),f822(f822(f79(x74872),x74873),f822(f822(f80(x74872),x74871),x74874))),x74871),f822(f822(f79(x74872),x74874),f822(f822(f35(x74872),x74873),x74871)))
% 218.59/218.72 [7724]~P64(x77242)+E(x77241,f2(x77242))+E(f822(f822(f280(x77242),f822(f822(f79(x77242),x77243),f822(f822(f80(x77242),x77244),x77241))),x77241),f822(f822(f79(x77242),f822(f822(f280(x77242),x77243),x77241)),x77244))
% 218.59/218.72 [7725]~P65(x77252)+E(x77251,f2(x77252))+E(f822(f822(f280(x77252),f822(f822(f79(x77252),x77253),f822(f822(f80(x77252),x77251),x77254))),x77251),f822(f822(f79(x77252),f822(f822(f280(x77252),x77253),x77251)),x77254))
% 218.59/218.72 [7726]~P65(x77262)+E(x77261,f2(x77262))+E(f822(f822(f280(x77262),f822(f822(f3(x77262),x77263),f822(f822(f80(x77262),x77261),x77264))),x77261),f822(f822(f3(x77262),f822(f822(f280(x77262),x77263),x77261)),x77264))
% 218.59/218.72 [8430]~P144(f822(f152(x84301,x84303),x84304))+~P144(f822(f152(x84301,x84302),x84304))+P144(f822(f152(x84301,f822(f822(f97(f892(x84301,a882)),x84302),x84303)),x84304))
% 218.59/218.72 [8783]~E(f822(f822(f278(x87831,x87831,x87831),x87832),x87834),f182(f892(f891(x87831,x87831),a882)))+~E(f822(f822(f278(x87831,x87831,x87831),x87832),x87833),f182(f892(f891(x87831,x87831),a882)))+E(f822(f822(f278(x87831,x87831,x87831),x87832),f822(f822(f96(f892(f891(x87831,x87831),a882)),x87833),x87834)),f182(f892(f891(x87831,x87831),a882)))
% 218.59/218.72 [8901]~P144(f822(f822(f226(f892(x89011,a882)),x89013),x89014))+~P144(f822(f822(f226(f892(x89011,a882)),x89012),x89014))+P144(f822(f822(f226(f892(x89011,a882)),f822(f822(f96(f892(x89011,a882)),x89012),x89013)),x89014))
% 218.59/218.72 [9278]~P144(f822(f60(x92781),x92784))+~P144(f822(f60(x92781),x92783))+E(f822(f822(f3(a885),f822(f822(f79(a885),f822(f822(f8(x92781,a885),x92782),x92783)),f822(f822(f8(x92781,a885),x92782),x92784))),f822(f822(f8(x92781,a885),x92782),f822(f822(f97(f892(x92781,a882)),x92783),x92784))),f822(f822(f8(x92781,a885),x92782),f822(f822(f96(f892(x92781,a882)),x92783),x92784)))
% 218.59/218.72 [9362]~P144(f822(f822(f318(x93621),x93623),x93622))+~P144(f822(f822(f226(f892(x93621,a882)),x93622),f822(f822(f298(x93621),x93623),x93624)))+P144(f822(f822(f226(f892(x93621,a882)),f822(f822(f3(f892(x93621,a882)),x93622),f822(f822(f298(x93621),x93623),f182(f892(x93621,a882))))),x93624))
% 218.59/218.72 [9535]~P144(f822(f822(f318(x95351),x95353),x95352))+P144(f822(f822(f226(f892(x95351,a882)),x95352),f822(f822(f298(x95351),x95353),x95354)))+~P144(f822(f822(f226(f892(x95351,a882)),f822(f822(f3(f892(x95351,a882)),x95352),f822(f822(f298(x95351),x95353),f182(f892(x95351,a882))))),x95354))
% 218.59/218.72 [9618]~P144(f822(f822(f227(a885),x96182),x96184))+~P144(f822(f822(f226(a885),x96181),x96183))+P144(f822(f822(f318(f891(f891(a885,a885),f891(a885,a885))),f822(f822(f243(f891(a885,a885),f891(a885,a885)),f822(f822(f243(a885,a885),x96181),x96182)),f822(f822(f243(a885,a885),x96183),x96184))),a32))
% 218.59/218.72 [9619]~P144(f822(f822(f226(a885),x96192),x96194))+~P144(f822(f822(f226(a885),x96191),x96193))+P144(f822(f822(f318(f891(f891(a885,a885),f891(a885,a885))),f822(f822(f243(f891(a885,a885),f891(a885,a885)),f822(f822(f243(a885,a885),x96191),x96192)),f822(f822(f243(a885,a885),x96193),x96194))),a70))
% 218.59/218.72 [9914]~P144(f822(f822(f318(f887(x99141)),x99144),f153(x99141,x99143)))+~P144(f822(f822(f318(f887(x99141)),x99144),f153(x99141,x99142)))+P144(f822(f152(x99141,f822(f822(f97(f892(x99141,a882)),f822(f822(f9(x99141,f892(x99141,a882),a882),f318(x99141)),x99142)),f822(f822(f9(x99141,f892(x99141,a882),a882),f318(x99141)),x99143))),x99144))
% 218.59/218.72 [10018]~P26(x100181,f892(f892(x100181,a882),a882),f822(f822(f9(x100181,f892(f891(x100181,x100181),a882),f892(f892(x100181,a882),a882)),f822(f822(f10(f892(x100181,a882),f892(f892(f891(x100181,x100181),a882),f892(f892(x100181,a882),a882)),x100181),f59(x100181)),f822(f822(f9(x100181,f892(x100181,a882),f892(x100181,a882)),f298(x100181)),f182(f892(x100181,a882))))),x100183),x100182)+~P144(f822(f822(f318(x100181),x100184),x100182))+E(f822(f822(f3(f892(f892(x100181,a882),a882)),f822(f822(f59(x100181),x100182),x100183)),f822(f822(f59(x100181),f822(f822(f298(x100181),x100184),f182(f892(x100181,a882)))),x100183)),f822(f822(f59(x100181),f822(f822(f3(f892(x100181,a882)),x100182),f822(f822(f298(x100181),x100184),f182(f892(x100181,a882))))),x100183))
% 218.59/218.72 [10153]~P54(x101531,x101532,x101534)+~P144(f822(f822(f318(f891(x101531,x101531)),x101533),x101534))+P144(f822(f822(f248(x101531,x101531,a882),f822(f822(f9(x101531,f892(x101531,a882),f892(x101531,a882)),f822(f822(f10(f892(a882,a882),f892(f892(x101531,a882),f892(x101531,a882)),x101531),f10(a882,a882,x101531)),f822(f822(f10(a882,f892(a882,a882),x101531),a315),f822(f822(f9(x101531,f892(x101531,a882),a882),f318(x101531)),x101532)))),f822(f822(f9(x101531,f892(x101531,a882),a882),f318(x101531)),x101532))),x101533))
% 218.59/218.72 [10162]P144(f822(f60(x101621),x101622))+~P144(f822(f60(x101623),f822(f299(x101621,x101623,x101624),x101622)))+~P144(f822(f60(x101621),f822(f253(x101621),f822(f822(f20(x101621,a882,a882),f822(f822(f10(a882,f892(a882,a882),x101621),a315),f822(f822(f9(x101621,f892(x101621,a882),a882),f318(x101621)),x101622))),f822(f822(f9(x101621,x101623,a882),f822(f822(f10(x101623,f892(x101623,a882),x101621),a314),x101624)),f822(x101624,f539(x101624,x101623,x101622,x101621)))))))
% 218.59/218.72 [8187]~P65(x81872)+E(x81871,f2(x81872))+E(f822(f822(f280(x81872),f822(f822(f79(x81872),f822(f822(f80(x81872),x81871),x81873)),x81874)),x81871),f822(f822(f79(x81872),x81873),f822(f822(f280(x81872),x81874),x81871)))
% 218.59/218.72 [8188]~P65(x81882)+E(x81881,f2(x81882))+E(f822(f822(f280(x81882),f822(f822(f3(x81882),f822(f822(f80(x81882),x81881),x81883)),x81884)),x81881),f822(f822(f3(x81882),x81883),f822(f822(f280(x81882),x81884),x81881)))
% 218.59/218.72 [9055]~E(f822(f822(f278(x90551,x90551,x90551),x90553),x90554),f182(f892(f891(x90551,x90551),a882)))+~E(f822(f822(f278(x90551,x90551,x90551),x90552),x90554),f182(f892(f891(x90551,x90551),a882)))+E(f822(f822(f278(x90551,x90551,x90551),f822(f822(f96(f892(f891(x90551,x90551),a882)),x90552),x90553)),x90554),f182(f892(f891(x90551,x90551),a882)))
% 218.59/218.72 [9832]~P144(f822(f152(x98321,x98323),x98324))+~P144(f822(f152(x98321,x98322),x98324))+P144(f822(f152(x98321,f822(f822(f20(x98321,a882,a882),f822(f822(f10(a882,f892(a882,a882),x98321),a315),x98322)),x98323)),x98324))
% 218.59/218.72 [10093]P144(f822(x100931,f530(x100932,x100933,x100931,x100934)))+~P144(f822(f60(x100934),f822(f253(x100934),x100931)))+P144(f822(f60(x100933),f822(f253(x100933),f822(f822(f10(f892(x100934,a882),a882,x100933),f86(x100934)),f822(f822(f10(f892(x100934,a882),f892(x100934,a882),x100933),f822(f20(x100934,a882,a882),f822(f822(f10(a882,f892(a882,a882),x100934),a315),x100931))),x100932)))))
% 218.59/218.72 [10111]~P144(f822(f60(x101112),f822(f253(x101112),x101113)))+~P144(f822(f60(x101111),f822(f253(x101111),f822(f822(f9(x101111,x101112,a882),x101114),f530(x101114,x101111,x101113,x101112)))))+P144(f822(f60(x101111),f822(f253(x101111),f822(f822(f10(f892(x101112,a882),a882,x101111),f86(x101112)),f822(f822(f10(f892(x101112,a882),f892(x101112,a882),x101111),f822(f20(x101112,a882,a882),f822(f822(f10(a882,f892(a882,a882),x101112),a315),x101113))),x101114)))))
% 218.59/218.72 [10173]~P144(f822(f60(x101731),x101734))+P144(f822(f822(f318(x101731),f806(x101732,x101733,x101734,x101731)),x101734))+P144(f822(f60(x101733),f822(f253(x101733),f822(f822(f10(f892(x101731,a882),a882,x101733),f86(x101731)),f822(f822(f10(f892(x101731,a882),f892(x101731,a882),x101733),f822(f20(x101731,a882,a882),f822(f822(f10(a882,f892(a882,a882),x101731),a315),f822(f822(f9(x101731,f892(x101731,a882),a882),f318(x101731)),x101734)))),x101732)))))
% 218.59/218.72 [10179]~P144(f822(f60(x101792),x101793))+~P144(f822(f60(x101791),f822(f253(x101791),f822(f822(f9(x101791,x101792,a882),x101794),f806(x101794,x101791,x101793,x101792)))))+P144(f822(f60(x101791),f822(f253(x101791),f822(f822(f10(f892(x101792,a882),a882,x101791),f86(x101792)),f822(f822(f10(f892(x101792,a882),f892(x101792,a882),x101791),f822(f20(x101792,a882,a882),f822(f822(f10(a882,f892(a882,a882),x101792),a315),f822(f822(f9(x101792,f892(x101792,a882),a882),f318(x101792)),x101793)))),x101794)))))
% 218.59/218.72 [5019]~E(x50192,x50194)+E(f161(x50191,x50192,x50193),f161(x50191,x50194,x50195))+~E(x50192,f2(a885))
% 218.59/218.72 [5274]E(x52741,x52742)+~E(f161(x52744,x52743,x52741),f161(x52744,x52745,x52742))+E(x52743,f2(a885))
% 218.59/218.72 [5844]~E(x58445,x58442)+P40(f29(x58441,x58443),x58442,x58444,x58445)+P144(f822(x58441,x58442))
% 218.59/218.72 [6431]E(x64311,x64312)+~P40(f29(x64313,x64314),x64311,x64315,x64312)+P144(f822(x64313,x64311))
% 218.59/218.72 [7988]~P40(x79882,x79883,x79884,x79885)+~P40(f29(x79881,x79882),x79885,x79884,x79883)+P40(f29(x79881,x79882),x79883,x79884,x79883)
% 218.59/218.72 [9181]E(x91811,x91812)+~P40(f29(x91815,x91813),x91811,x91814,x91812)+P40(x91813,x91811,x91814,f842(x91812,x91814,x91811,x91813,x91815))
% 218.59/218.72 [9182]E(x91821,x91822)+~P40(f29(x91825,x91823),x91821,x91824,x91822)+P40(x91823,x91821,x91824,f873(x91822,x91824,x91821,x91823,x91825))
% 218.59/218.72 [9184]E(x91841,x91842)+P40(f29(x91843,x91844),f842(x91841,x91845,x91842,x91844,x91843),x91845,x91841)+~P40(f29(x91843,x91844),x91842,x91845,x91841)
% 218.59/218.72 [9185]E(x91851,x91852)+P40(f29(x91853,x91854),f873(x91851,x91855,x91852,x91854,x91853),x91855,x91851)+~P40(f29(x91853,x91854),x91852,x91855,x91851)
% 218.59/218.72 [9189]~P40(f29(x91895,x91891),x91892,x91893,x91894)+P40(x91891,x91892,x91893,f842(x91894,x91893,x91892,x91891,x91895))+~P144(f822(x91895,x91892))
% 218.59/218.72 [9190]~P40(f29(x91905,x91901),x91902,x91903,x91904)+P40(x91901,x91902,x91903,f873(x91904,x91903,x91902,x91901,x91905))+~P144(f822(x91905,x91902))
% 218.59/218.72 [9197]~P40(f29(x91971,x91972),x91975,x91974,x91973)+P40(f29(x91971,x91972),f842(x91973,x91974,x91975,x91972,x91971),x91974,x91973)+~P144(f822(x91971,x91975))
% 218.59/218.72 [9198]~P40(f29(x91981,x91982),x91985,x91984,x91983)+P40(f29(x91981,x91982),f873(x91983,x91984,x91985,x91982,x91981),x91984,x91983)+~P144(f822(x91981,x91985))
% 218.59/218.72 [6583]E(x65831,x65832)+~E(f822(x65833,x65831),f822(x65833,x65832))+~P26(x65834,x65835,x65833,f233(f892(x65834,a882)))
% 218.59/218.72 [7523]E(x75231,x75232)+~P26(x75233,x75234,x75235,f233(f892(x75233,a882)))+~E(f822(f299(x75233,x75234,x75235),x75231),f822(f299(x75233,x75234,x75235),x75232))
% 218.59/218.72 [7779]P26(x77792,x77793,f476(x77794,x77793,x77792,x77791),x77791)+~E(f822(f299(x77793,x77792,x77795),x77794),x77791)+E(x77791,f182(f892(x77792,a882)))
% 218.59/218.72 [8317]~P144(f822(f822(x83173,x83172),x83175))+~P144(f822(f822(x83173,x83174),x83172))+P144(f822(f822(f318(x83171),x83172),f279(x83171,x83173,x83174,x83175)))
% 218.59/218.72 [8318]~P144(f822(f822(x83183,x83182),x83185))+~P144(f822(f822(x83183,x83184),x83182))+P144(f822(f822(f318(x83181),x83182),f288(x83181,x83183,x83184,x83185)))
% 218.59/218.72 [8860]~P26(x88601,x88603,x88605,f233(f892(x88601,a882)))+~P26(x88603,x88602,x88604,f233(f892(x88603,a882)))+P26(x88601,x88602,f822(f72(x88603,x88602,x88601,x88604),x88605),f233(f892(x88601,a882)))
% 218.59/218.72 [9421]P144(f822(f822(f318(f891(x94211,x94211)),f822(f822(f243(x94211,x94211),x94212),x94213)),f296(x94211,x94214)))+~P144(f822(f822(f318(f891(x94211,x94211)),f822(f822(f243(x94211,x94211),x94212),x94215)),f296(x94211,x94214)))+~P144(f822(f822(f318(f891(x94211,x94211)),f822(f822(f243(x94211,x94211),x94215),x94213)),f296(x94211,x94214)))
% 218.59/218.72 [9460]~P92(x94602)+~P144(f822(f129(x94601),x94605))+P144(f822(f129(x94601),f141(x94601,x94602,x94603,x94604,x94605)))
% 218.59/218.72 [5352]~E(x53522,f108(x53521))+E(f822(f822(f126(x53521),x53522),x53523),f822(f822(f143(x53521),x53524),x53525))+~E(x53523,f822(f822(f143(x53521),x53524),x53525))
% 218.59/218.72 [5353]~E(x53532,f108(x53531))+E(f822(f822(f126(x53531),x53532),x53533),f822(f822(f143(x53531),x53534),x53535))+~E(f822(f822(f143(x53531),x53534),x53535),x53533)
% 218.59/218.72 [6538]~E(f822(f183(f887(x65381)),x65385),f822(f183(f887(x65382)),x65384))+E(f822(f822(f146(f891(x65381,x65382),x65382),f247(x65381,x65382)),x65383),x65384)+~E(f822(f822(f173(x65381,x65382),x65385),x65384),x65383)
% 218.59/218.72 [6539]~E(f822(f183(f887(x65391)),x65394),f822(f183(f887(x65392)),x65395))+E(f822(f822(f146(f891(x65391,x65392),x65391),f242(x65391,x65392)),x65393),x65394)+~E(f822(f822(f173(x65391,x65392),x65394),x65395),x65393)
% 218.59/218.72 [7039]~P92(x70391)+~P15(x70391,f822(f822(f146(x70392,x70391),x70393),x70395))+P15(x70391,f822(f822(f146(x70392,x70391),x70393),f822(f128(x70392,x70394),x70395)))
% 218.59/218.72 [7183]~P92(x71831)+P15(x71831,f822(f822(f146(x71832,x71831),x71833),f162(x71832,x71834,x71835)))+~P15(x71831,f822(f822(f146(x71832,x71831),x71833),x71835))
% 218.59/218.72 [7206]~P56(x72063,x72062,x72065)+~P56(x72061,x72063,x72064)+P56(x72061,x72062,f822(f822(f278(x72061,x72063,x72062),x72064),x72065))
% 218.59/218.72 [7302]E(x73021,x73022)+~P26(x73023,x73024,x73025,f233(f892(x73023,a882)))+~E(f822(f822(f146(x73023,x73024),x73025),x73021),f822(f822(f146(x73023,x73024),x73025),x73022))
% 218.59/218.72 [7387]P40(x73871,x73872,x73873,x73874)+~P40(x73871,x73872,x73875,x73874)+~P144(f822(f822(f226(a885),x73875),x73873))
% 218.59/218.72 [7472]~P144(f822(f822(f227(a885),x74721),f822(x74723,x74725)))+P144(f822(f822(f227(a885),x74721),f147(x74722,x74723,x74724)))+~P144(f822(f822(f318(x74722),x74725),f822(f164(x74722),x74724)))
% 218.59/218.72 [7473]~P144(f822(f822(f226(a885),x74731),f822(x74733,x74735)))+P144(f822(f822(f226(a885),x74731),f147(x74732,x74733,x74734)))+~P144(f822(f822(f318(x74732),x74735),f822(f164(x74732),x74734)))
% 218.59/218.72 [7875]P144(f822(x78751,x78752))+~P144(f822(x78751,x78753))+~P144(f822(f822(f318(x78754),x78752),f822(f164(x78754),f161(x78754,x78755,x78753))))
% 218.59/218.72 [7876]P144(f822(x78761,x78762))+~P144(f822(x78761,x78763))+~P144(f822(f822(f318(x78764),x78763),f822(f164(x78764),f161(x78764,x78765,x78762))))
% 218.59/218.72 [7881]~P91(x78811)+P144(f822(f822(f226(f892(x78811,a882)),f292(x78811,x78812,x78813)),f292(x78811,x78814,x78815)))+P144(f822(f822(f226(x78811),x78812),x78813))
% 218.59/218.72 [7907]~P7(x79071)+P144(f822(f822(f226(x79071),f822(f822(f39(x79072,x79071),x79073),x79074)),f822(x79074,x79075)))+~P144(f822(f822(f318(x79072),x79075),x79073))
% 218.59/218.72 [7975]~P26(x79751,x79752,x79754,x79753)+E(f822(f76(x79751,x79752,x79753,x79754),f822(x79754,x79755)),x79755)+~P144(f822(f822(f318(x79751),x79755),x79753))
% 218.59/218.72 [8176]~P144(f822(x81761,x81765))+P144(f822(x81761,f345(x81761,x81762,x81763,x81764)))+~P144(f822(f822(f318(x81764),x81765),x81763))
% 218.59/218.72 [8177]~P144(f822(x81771,x81775))+P144(f822(x81771,f345(x81771,x81772,x81773,x81774)))+~P144(f822(f822(f318(x81774),x81775),x81772))
% 218.59/218.72 [8271]P144(f822(f60(x82711),x82712))+~P144(f822(f60(x82713),x82714))+~P144(f822(f822(f226(f892(x82711,a882)),x82712),f822(f299(x82713,x82711,x82715),x82714)))
% 218.59/218.72 [8434]E(x84341,x84342)+~P26(x84343,x84344,x84345,f822(f822(f96(f892(x84343,a882)),f822(f164(x84343),x84341)),f822(f164(x84343),x84342)))+~E(f822(f822(f146(x84343,x84344),x84345),x84341),f822(f822(f146(x84343,x84344),x84345),x84342))
% 218.59/218.72 [8485]~P91(x84851)+~P144(f822(f822(f227(f892(x84851,a882)),f292(x84851,x84854,x84855)),f292(x84851,x84852,x84853)))+P144(f822(f822(f226(x84851),x84852),x84853))
% 218.59/218.72 [8547]~P26(x85471,x85474,x85475,f233(f892(x85471,a882)))+~P144(f822(f822(f318(x85474),f822(x85475,x85472)),f822(f299(x85471,x85474,x85475),x85473)))+P144(f822(f822(f318(x85471),x85472),x85473))
% 218.59/218.72 [8623]P144(f822(x86231,x86232))+~P144(f822(x86231,f348(x86231,x86233,x86234,x86235)))+~P144(f822(f822(f318(x86235),x86232),x86234))
% 218.59/218.72 [8624]P144(f822(x86241,x86242))+~P144(f822(x86241,f348(x86241,x86243,x86244,x86245)))+~P144(f822(f822(f318(x86245),x86242),x86243))
% 218.59/218.72 [8898]~P26(x88982,x88983,x88981,x88984)+E(f822(x88981,f822(f76(x88982,x88983,x88984,x88981),x88985)),x88985)+~P144(f822(f822(f318(x88983),x88985),f822(f299(x88982,x88983,x88981),x88984)))
% 218.59/218.72 [8997]E(x89971,f108(x89972))+E(f822(f822(f143(x89972),x89973),f686(x89974,x89973,x89975,x89971,x89972)),x89971)+~E(f822(f822(f126(x89972),x89971),x89975),f822(f822(f143(x89972),x89973),x89974))
% 218.59/218.72 [8998]E(x89981,f108(x89982))+E(f822(f822(f143(x89982),x89983),f688(x89984,x89981,x89985,x89983,x89982)),x89981)+~E(f822(f822(f126(x89982),x89981),x89984),f822(f822(f143(x89982),x89983),x89985))
% 218.59/218.72 [9015]E(f822(f822(f143(x90152),x90153),f686(x90154,x90153,x90151,x90155,x90152)),x90155)+~E(f822(f822(f126(x90152),x90155),x90151),f822(f822(f143(x90152),x90153),x90154))+E(x90151,f822(f822(f143(x90152),x90153),x90154))
% 218.59/218.72 [9016]E(f822(f822(f143(x90161),x90162),f688(x90164,x90165,x90163,x90162,x90161)),x90165)+~E(f822(f822(f126(x90161),x90165),x90164),f822(f822(f143(x90161),x90162),x90163))+E(f822(f822(f143(x90161),x90162),x90163),x90164)
% 218.59/218.72 [9092]~E(f822(f299(x90923,x90922,x90924),f233(f892(x90923,a882))),f233(f892(x90922,a882)))+~E(f822(f299(x90921,x90923,x90925),f233(f892(x90921,a882))),f233(f892(x90923,a882)))+E(f822(f299(x90921,x90922,f822(f72(x90923,x90922,x90921,x90924),x90925)),f233(f892(x90921,a882))),f233(f892(x90922,a882)))
% 218.59/218.72 [9466]E(x94661,f108(x94662))+~E(f822(f822(f126(x94662),x94661),x94663),f822(f822(f143(x94662),x94665),x94664))+E(f822(f822(f126(x94662),f688(x94663,x94661,x94664,x94665,x94662)),x94663),x94664)
% 218.59/218.72 [9467]E(x94671,f108(x94672))+~E(f822(f822(f126(x94672),x94671),x94675),f822(f822(f143(x94672),x94674),x94673))+E(f822(f822(f126(x94672),f686(x94673,x94674,x94675,x94671,x94672)),x94675),x94673)
% 218.59/218.72 [9473]E(f822(f822(f126(x94732),f686(x94734,x94733,x94731,x94735,x94732)),x94731),x94734)+~E(f822(f822(f126(x94732),x94735),x94731),f822(f822(f143(x94732),x94733),x94734))+E(x94731,f822(f822(f143(x94732),x94733),x94734))
% 218.59/218.72 [9474]~E(f822(f822(f126(x94741),x94745),x94744),f822(f822(f143(x94741),x94742),x94743))+E(f822(f822(f126(x94741),f688(x94744,x94745,x94743,x94742,x94741)),x94744),x94743)+E(f822(f822(f143(x94741),x94742),x94743),x94744)
% 218.59/218.72 [9475]E(f822(f822(f126(x94751),x94755),f692(x94753,x94752,x94754,x94755,x94751)),x94752)+E(f822(f822(f126(x94751),x94752),f691(x94753,x94752,x94754,x94755,x94751)),x94755)+~E(f822(f822(f126(x94751),x94755),x94754),f822(f822(f126(x94751),x94752),x94753))
% 218.59/218.72 [9512]~P92(x95121)+P15(x95121,f822(f822(f146(x95122,x95121),x95123),f141(x95122,x95121,x95123,x95124,x95125)))+~P15(x95121,f822(f822(f146(x95122,x95121),x95123),x95125))
% 218.59/218.72 [9530]~P60(x95305,x95301,x95304,x95303)+P144(f822(f822(x95301,x95302),f490(x95303,x95304,x95301,x95305,x95302)))+~P144(f822(f822(f318(x95305),x95302),x95304))
% 218.59/218.72 [9531]~P60(x95315,x95311,x95314,x95313)+P144(f822(f822(x95311,x95312),f811(x95313,x95314,x95311,x95315,x95312)))+~P144(f822(f822(f318(x95315),x95312),x95314))
% 218.59/218.72 [9630]~P144(f822(f822(f318(f891(x96301,x96301)),f822(f822(f243(x96301,x96301),x96305),x96303)),f296(x96301,x96304)))+P144(f822(f822(f318(f891(x96301,x96301)),f822(f822(f243(x96301,x96301),x96302),x96303)),f822(f822(f278(x96301,x96301,x96301),x96304),f296(x96301,x96304))))+~P144(f822(f822(f318(f891(x96301,x96301)),f822(f822(f243(x96301,x96301),x96302),x96305)),f822(f822(f278(x96301,x96301,x96301),x96304),f296(x96301,x96304))))
% 218.59/218.72 [9631]~P144(f822(f822(f318(f891(x96311,x96311)),f822(f822(f243(x96311,x96311),x96312),x96315)),f296(x96311,x96314)))+P144(f822(f822(f318(f891(x96311,x96311)),f822(f822(f243(x96311,x96311),x96312),x96313)),f822(f822(f278(x96311,x96311,x96311),x96314),f296(x96311,x96314))))+~P144(f822(f822(f318(f891(x96311,x96311)),f822(f822(f243(x96311,x96311),x96315),x96313)),f822(f822(f278(x96311,x96311,x96311),x96314),f296(x96311,x96314))))
% 218.59/218.72 [9633]P144(f822(f822(f318(f891(f887(x96331),f887(x96331))),f822(f822(f243(f887(x96331),f887(x96331)),x96332),x96333)),f150(x96331,f296(x96331,x96334))))+~P144(f822(f822(f318(f891(f887(x96331),f887(x96331))),f822(f822(f243(f887(x96331),f887(x96331)),x96332),x96335)),f150(x96331,f296(x96331,x96334))))+~P144(f822(f822(f318(f891(f887(x96331),f887(x96331))),f822(f822(f243(f887(x96331),f887(x96331)),x96335),x96333)),f150(x96331,f296(x96331,x96334))))
% 218.59/218.72 [9637]E(f822(f822(f126(x96371),x96372),f691(x96373,x96372,x96374,x96375,x96371)),x96375)+E(f822(f822(f126(x96371),f692(x96373,x96372,x96374,x96375,x96371)),x96373),x96374)+~E(f822(f822(f126(x96371),x96372),x96373),f822(f822(f126(x96371),x96375),x96374))
% 218.59/218.72 [9638]E(f822(f822(f126(x96381),x96382),f692(x96383,x96384,x96385,x96382,x96381)),x96384)+E(f822(f822(f126(x96381),f691(x96383,x96384,x96385,x96382,x96381)),x96385),x96383)+~E(f822(f822(f126(x96381),x96382),x96385),f822(f822(f126(x96381),x96384),x96383))
% 218.59/218.72 [9692]P144(f822(f822(f318(f891(x96921,x96921)),f822(f822(f243(x96921,x96921),x96922),x96923)),f822(f822(f278(x96921,x96921,x96921),x96924),f296(x96921,x96924))))+~P144(f822(f822(f318(f891(x96921,x96921)),f822(f822(f243(x96921,x96921),x96922),x96925)),f822(f822(f278(x96921,x96921,x96921),x96924),f296(x96921,x96924))))+~P144(f822(f822(f318(f891(x96921,x96921)),f822(f822(f243(x96921,x96921),x96925),x96923)),f822(f822(f278(x96921,x96921,x96921),x96924),f296(x96921,x96924))))
% 218.59/218.72 [9721]P33(x97211,x97212,x97213,x97214,x97215)+~E(f822(f183(f887(x97211)),x97214),f822(f183(f887(x97212)),x97215))+~P144(f822(f822(f248(x97211,x97212,a882),x97213),f713(x97215,x97214,x97213,x97212,x97211)))
% 218.59/218.72 [9722]P33(x97221,x97222,x97223,x97224,x97225)+~E(f822(f183(f887(x97221)),x97224),f822(f183(f887(x97222)),x97225))+~P144(f822(f822(f248(x97221,x97222,a882),x97223),f714(x97223,x97225,x97224,x97222,x97221)))
% 218.59/218.72 [9727]E(f822(f822(f126(x97271),f691(x97272,x97273,x97274,x97275,x97271)),x97274),x97272)+~E(f822(f822(f126(x97271),x97273),x97272),f822(f822(f126(x97271),x97275),x97274))+E(f822(f822(f126(x97271),f692(x97272,x97273,x97274,x97275,x97271)),x97272),x97274)
% 218.59/218.72 [9742]~P92(x97422)+E(f822(f822(f140(x97421,x97422,x97423),x97424),x97425),f822(f822(f143(x97421),x97424),x97425))+P144(f822(f822(f318(x97421),f763(x97424,x97423,x97425,x97421,x97422)),f822(f164(x97421),x97425)))
% 218.59/218.72 [9746]~P60(x97461,x97464,x97463,x97462)+~P144(f822(f822(f318(x97461),x97465),x97463))+P144(f822(f822(f318(x97461),f490(x97462,x97463,x97464,x97461,x97465)),x97462))
% 218.59/218.72 [9747]~P60(x97471,x97474,x97473,x97472)+~P144(f822(f822(f318(x97471),x97475),x97473))+P144(f822(f822(f318(x97471),f811(x97472,x97473,x97474,x97471,x97475)),x97472))
% 218.59/218.72 [9867]~P144(f822(f822(f318(f891(f892(x98671,a882),f892(x98671,a882))),f822(f822(f243(f892(x98671,a882),f892(x98671,a882)),x98674),x98673)),f307(x98671,x98672)))+~P144(f822(f822(f318(x98671),x98675),x98674))+P144(f822(f822(f318(x98671),f583(x98672,x98673,x98674,x98671,x98675)),x98673))
% 218.59/218.72 [9877]~P92(x98772)+E(f822(f822(f140(x98771,x98772,x98773),x98774),x98775),f822(f822(f143(x98771),x98774),x98775))+~P144(f822(f822(f226(x98772),f822(x98773,x98774)),f822(x98773,f763(x98774,x98773,x98775,x98771,x98772))))
% 218.59/218.72 [10069]P33(x100691,x100692,x100693,x100694,x100695)+~E(f822(f183(f887(x100691)),x100694),f822(f183(f887(x100692)),x100695))+~P144(f822(f822(x100693,f822(f822(f156(x100691),x100694),f715(x100695,x100694,x100693,x100692,x100691))),f822(f822(f156(x100692),x100695),f715(x100695,x100694,x100693,x100692,x100691))))
% 218.59/218.72 [10070]P33(x100701,x100702,x100703,x100704,x100705)+~E(f822(f183(f887(x100701)),x100704),f822(f183(f887(x100702)),x100705))+~P144(f822(f822(x100703,f822(f822(f156(x100701),x100704),f752(x100703,x100705,x100702,x100704,x100701))),f822(f822(f156(x100702),x100705),f752(x100703,x100705,x100702,x100704,x100701))))
% 218.59/218.72 [6614]~P19(x66142,x66145,x66141)+~P144(f822(f60(x66142),x66144))+E(f822(x66141,f822(f822(f298(x66142),x66143),x66144)),f822(f822(f63(x66142,x66142,x66145),x66143),x66144))
% 218.59/218.72 [6615]~E(x66153,x66154)+~E(x66152,x66155)+E(f822(f822(f298(x66151),x66152),f822(f822(f298(x66151),x66153),f182(f892(x66151,a882)))),f822(f822(f298(x66151),x66154),f822(f822(f298(x66151),x66155),f182(f892(x66151,a882)))))
% 218.59/218.72 [6626]P144(f822(x66262,x66265))+E(f169(x66261,x66262,f822(f822(f126(x66261),x66263),x66264)),f169(x66261,x66262,x66263))+~P144(f822(f822(f318(x66261),x66265),f822(f164(x66261),x66263)))
% 218.59/218.72 [6666]E(f822(x66661,x66662),f233(f892(x66663,a882)))+~E(f822(f822(f39(x66664,f892(x66663,a882)),x66665),x66661),f233(f892(x66663,a882)))+~P144(f822(f822(f318(x66664),x66662),x66665))
% 218.59/218.72 [6667]E(f822(x66671,x66672),f182(f892(x66673,a882)))+~E(f822(f822(f38(x66674,f892(x66673,a882)),x66675),x66671),f182(f892(x66673,a882)))+~P144(f822(f822(f318(x66674),x66672),x66675))
% 218.59/218.72 [7193]~E(x71932,x71934)+~P145(x71931)+E(f822(f822(f79(x71931),f822(f822(f80(x71931),x71932),x71933)),f822(f822(f80(x71931),x71934),x71935)),f822(f822(f79(x71931),f822(f822(f80(x71931),x71932),x71935)),f822(f822(f80(x71931),x71934),x71933)))
% 218.59/218.72 [7256]~P7(x72561)+~P144(f822(f822(f318(x72564),x72563),x72565))+P144(f822(f822(f226(x72561),f822(x72562,x72563)),f822(f822(f38(x72564,x72561),x72565),x72562)))
% 218.59/218.72 [7307]~P109(x73071)+P144(f822(f822(f226(x73071),f822(x73072,x73073)),f822(x73074,x73073)))+~P144(f822(f822(f226(f892(x73075,x73071)),x73072),x73074))
% 218.59/218.72 [7441]E(x74411,x74412)+E(x74413,x74411)+~E(f822(f822(f298(x74414),x74411),f822(f822(f298(x74414),x74415),f182(f892(x74414,a882)))),f822(f822(f298(x74414),x74412),f822(f822(f298(x74414),x74413),f182(f892(x74414,a882)))))
% 218.59/218.72 [7442]E(x74421,x74422)+E(x74423,x74421)+~E(f822(f822(f298(x74424),x74423),f822(f822(f298(x74424),x74422),f182(f892(x74424,a882)))),f822(f822(f298(x74424),x74425),f822(f822(f298(x74424),x74421),f182(f892(x74424,a882)))))
% 218.59/218.72 [7443]E(x74431,x74432)+E(x74431,x74433)+~E(f822(f822(f298(x74434),x74433),f822(f822(f298(x74434),x74432),f182(f892(x74434,a882)))),f822(f822(f298(x74434),x74435),f822(f822(f298(x74434),x74431),f182(f892(x74434,a882)))))
% 218.59/218.72 [7444]E(x74441,x74442)+E(x74441,x74443)+~E(f822(f822(f298(x74444),x74441),f822(f822(f298(x74444),x74445),f182(f892(x74444,a882)))),f822(f822(f298(x74444),x74442),f822(f822(f298(x74444),x74443),f182(f892(x74444,a882)))))
% 218.59/218.72 [7985]P26(x79851,x79852,x79853,x79854)+~P26(x79851,x79852,x79853,x79855)+~P144(f822(f822(f226(f892(x79851,a882)),x79854),x79855))
% 218.59/218.72 [8164]E(x81641,x81642)+~E(f822(f299(x81643,x81644,x81645),x81641),f822(f299(x81643,x81644,x81645),x81642))+~P26(x81643,x81644,x81645,f822(f822(f96(f892(x81643,a882)),x81641),x81642))
% 218.59/218.72 [8241]P144(f822(x82412,x82414))+E(f822(f822(f130(x82411),f822(f183(f887(x82411)),f169(x82411,x82412,x82413))),x82413),f822(f822(f143(x82411),x82414),x82415))+~E(f822(f822(f126(x82411),f169(x82411,x82412,x82413)),f822(f822(f143(x82411),x82414),x82415)),x82413)
% 218.59/218.72 [8269]~P26(x82691,x82692,x82693,x82695)+~P26(x82691,x82692,x82693,x82694)+P26(x82691,x82692,x82693,f822(f822(f97(f892(x82691,a882)),x82694),x82695))
% 218.59/218.72 [8375]~P72(x83751)+E(f822(f822(f79(x83751),f822(x83752,x83753)),f822(f157(x83751),f822(f822(f146(x83754,x83751),x83752),f162(x83754,x83753,x83755)))),f822(f157(x83751),f822(f822(f146(x83754,x83751),x83752),x83755)))+~P144(f822(f822(f318(x83754),x83753),f822(f164(x83754),x83755)))
% 218.59/218.72 [8460]~P92(x84601)+~P15(x84601,f822(f822(f146(x84602,x84601),x84603),x84605))+P15(x84601,f822(f822(f146(x84602,x84601),x84603),f822(f822(f140(x84602,x84601,x84603),x84604),x84605)))
% 218.59/218.72 [8543]~P7(x85431)+P144(f822(f822(f226(x85431),f822(f822(f38(x85432,x85431),x85433),x85434)),f822(f822(f38(x85432,x85431),x85435),x85434)))+~P144(f822(f822(f226(f892(x85432,a882)),x85433),x85435))
% 218.59/218.72 [8544]~P7(x85441)+P144(f822(f822(f226(x85441),f822(f822(f39(x85442,x85441),x85443),x85444)),f822(f822(f39(x85442,x85441),x85445),x85444)))+~P144(f822(f822(f226(f892(x85442,a882)),x85445),x85443))
% 218.59/218.72 [8577]~P92(x85773)+P144(f822(f129(x85771),x85772))+~P144(f822(f129(x85771),f822(f822(f140(x85771,x85773,x85774),x85775),x85772)))
% 218.59/218.72 [8714]~P92(x87141)+~P144(f822(f822(f318(x87142),x87143),f822(f164(x87142),x87144)))+~P144(f822(f129(x87142),f822(f822(f140(x87142,x87141,x87145),x87143),x87144)))
% 218.59/218.72 [8793]~P92(x87931)+P15(x87931,f822(f822(f146(x87932,x87931),x87933),x87934))+~P15(x87931,f822(f822(f146(x87932,x87931),x87933),f822(f822(f140(x87932,x87931,x87933),x87935),x87934)))
% 218.59/218.72 [8835]~P26(x88352,x88351,x88354,x88353)+E(f822(f299(x88351,x88352,f91(x88352,x88351,x88353,x88354)),f822(f299(x88352,x88351,x88354),x88355)),x88355)+~P144(f822(f822(f226(f892(x88352,a882)),x88355),x88353))
% 218.59/218.72 [8886]~P92(x88862)+E(f822(f822(f140(x88861,x88862,x88863),x88864),x88865),f141(x88861,x88862,x88863,x88864,x88865))+P144(f822(f822(f318(x88862),f822(x88863,x88864)),f822(f299(x88861,x88862,x88863),f822(f164(x88861),x88865))))
% 218.59/218.72 [8965]~P92(x89652)+E(f141(x89651,x89652,x89653,x89654,x89655),x89655)+~P144(f822(f822(f318(x89652),f822(x89653,x89654)),f822(f299(x89651,x89652,x89653),f822(f164(x89651),x89655))))
% 218.59/218.72 [8978]~P26(x89782,x89781,x89783,x89785)+P144(f822(f822(f227(f892(x89781,a882)),f822(f299(x89782,x89781,x89783),x89784)),f822(f299(x89782,x89781,x89783),x89785)))+~P144(f822(f822(f227(f892(x89782,a882)),x89784),x89785))
% 218.59/218.72 [9132]~P26(x91321,x91322,x91323,f233(f892(x91321,a882)))+~P144(f822(f822(f226(f892(x91322,a882)),x91324),f822(f299(x91321,x91322,x91323),x91325)))+P144(f822(f822(f226(f892(x91321,a882)),f822(f300(x91321,x91322,x91323),x91324)),x91325))
% 218.59/218.72 [9155]~E(f822(f299(x91553,x91551,x91554),f233(f892(x91553,a882))),f233(f892(x91551,a882)))+P144(f822(f822(f226(f892(x91551,a882)),x91552),f822(f299(x91553,x91551,x91554),x91555)))+~P144(f822(f822(f226(f892(x91553,a882)),f822(f300(x91553,x91551,x91554),x91552)),x91555))
% 218.59/218.72 [9271]~P26(x92711,x92714,x92715,f233(f892(x92711,a882)))+~P144(f822(f822(f226(f892(x92714,a882)),f822(f299(x92711,x92714,x92715),x92712)),f822(f299(x92711,x92714,x92715),x92713)))+P144(f822(f822(f226(f892(x92711,a882)),x92712),x92713))
% 218.59/218.72 [9390]~P73(x93901)+~E(f822(x93903,f734(x93903,x93904,x93905,x93902,x93901)),f2(x93901))+E(f822(f157(x93901),f822(f822(f146(x93902,x93901),x93903),f822(f128(x93902,x93904),x93905))),f822(f157(x93901),f822(f822(f146(x93902,x93901),x93903),x93905)))
% 218.59/218.72 [9574]~P18(x95741,x95742,x95743)+~P144(f822(f60(x95741),x95745))+P144(f822(f65(x95741,x95742,x95743,x95744,x95745),f822(f822(f63(x95741,x95742,x95743),x95744),x95745)))
% 218.59/218.72 [9650]P144(f822(x96501,f655(x96502,x96501,x96503,x96504,x96505)))+~P144(f822(f822(f226(f892(x96505,a882)),x96504),x96503))+P144(f822(f822(f226(f892(x96505,a882)),f822(f822(f97(f892(x96505,a882)),x96504),f822(f253(x96505),x96501))),f822(f822(f97(f892(x96505,a882)),x96503),f822(f253(x96505),x96502))))
% 218.59/218.72 [9664]~P73(x96641)+~P144(f822(x96644,f734(x96643,x96644,x96645,x96642,x96641)))+E(f822(f157(x96641),f822(f822(f146(x96642,x96641),x96643),f822(f128(x96642,x96644),x96645))),f822(f157(x96641),f822(f822(f146(x96642,x96641),x96643),x96645)))
% 218.59/218.72 [9744]~P7(x97445)+P144(f822(f822(f318(x97441),f597(x97442,x97443,x97441,x97444,x97445)),x97443))+P144(f822(f822(f226(x97445),x97444),f822(f822(f39(x97441,x97445),x97443),x97442)))
% 218.59/218.72 [9748]~P73(x97481)+E(f822(f157(x97481),f822(f822(f146(x97482,x97481),x97483),f822(f128(x97482,x97484),x97485))),f822(f157(x97481),f822(f822(f146(x97482,x97481),x97483),x97485)))+P144(f822(f822(f318(x97482),f734(x97483,x97484,x97485,x97482,x97481)),f822(f164(x97482),x97485)))
% 218.59/218.72 [9758]~P144(f822(x97585,f655(x97585,x97583,x97584,x97582,x97581)))+~P144(f822(f822(f226(f892(x97581,a882)),x97582),x97584))+P144(f822(f822(f226(f892(x97581,a882)),f822(f822(f97(f892(x97581,a882)),x97582),f822(f253(x97581),x97583))),f822(f822(f97(f892(x97581,a882)),x97584),f822(f253(x97581),x97585))))
% 218.59/218.72 [9793]P33(x97931,x97932,x97933,x97934,x97935)+~E(f822(f183(f887(x97932)),x97935),f822(f183(f887(x97931)),x97934))+P144(f822(f822(f227(a885),f715(x97935,x97934,x97933,x97932,x97931)),f822(f183(f887(x97931)),x97934)))
% 218.59/218.72 [9794]P33(x97941,x97942,x97943,x97944,x97945)+~E(f822(f183(f887(x97942)),x97945),f822(f183(f887(x97941)),x97944))+P144(f822(f822(f227(a885),f752(x97943,x97945,x97942,x97944,x97941)),f822(f183(f887(x97941)),x97944)))
% 218.59/218.72 [9833]P144(f822(f822(f318(x98331),f655(x98332,x98333,x98334,x98335,x98331)),x98335))+~P144(f822(f822(f226(f892(x98331,a882)),x98335),x98334))+P144(f822(f822(f226(f892(x98331,a882)),f822(f822(f97(f892(x98331,a882)),x98335),f822(f253(x98331),x98333))),f822(f822(f97(f892(x98331,a882)),x98334),f822(f253(x98331),x98332))))
% 218.59/218.72 [9878]~P7(x98781)+~P144(f822(f822(f226(x98781),x98782),f822(x98785,f597(x98785,x98784,x98783,x98782,x98781))))+P144(f822(f822(f226(x98781),x98782),f822(f822(f39(x98783,x98781),x98784),x98785)))
% 218.59/218.72 [9912]~P76(x99121)+~P144(f822(f60(x99122),x99125))+E(f822(f822(f822(f64(x99121,x99122,f80(x99121)),f822(f822(f20(x99122,x99121,x99121),f822(f822(f10(x99121,f892(x99121,x99121),x99122),f80(x99121)),x99123)),x99124)),f77(x99121)),x99125),f822(f822(f80(x99121),f822(f822(f822(f64(x99121,x99122,f80(x99121)),x99123),f77(x99121)),x99125)),f822(f822(f822(f64(x99121,x99122,f80(x99121)),x99124),f77(x99121)),x99125)))
% 218.59/218.72 [9965]~P144(f822(f822(f318(f891(f892(x99651,a882),f892(x99651,a882))),f822(f822(f243(f892(x99651,a882),f892(x99651,a882)),x99655),x99654)),f307(x99651,x99653)))+~P144(f822(f822(f318(x99651),x99652),x99655))+P144(f822(f822(f318(f891(x99651,x99651)),f822(f822(f243(x99651,x99651),x99652),f583(x99653,x99654,x99655,x99651,x99652))),x99653))
% 218.59/218.72 [10108]~P144(f822(f822(f318(f891(f887(x101081),f887(x101081))),f822(f822(f243(f887(x101081),f887(x101081)),f822(f822(f126(x101081),x101085),x101082)),f822(f822(f126(x101081),x101085),x101083))),f139(x101081,x101084)))+P144(f822(f822(f318(f891(f887(x101081),f887(x101081))),f822(f822(f243(f887(x101081),f887(x101081)),x101082),x101083)),f139(x101081,x101084)))+P144(f822(f822(f318(f891(x101081,x101081)),f822(f822(f243(x101081,x101081),f697(x101084,x101083,x101082,x101085,x101081)),f697(x101084,x101083,x101082,x101085,x101081))),x101084))
% 218.59/218.72 [7310]~E(x73103,x73105)+E(f822(f822(f156(x73101),f822(f822(f151(x73101,x73102),x73103),x73104)),x73105),x73104)+~P144(f822(f822(f227(a885),x73103),f822(f183(f887(x73101)),x73102)))
% 218.59/218.72 [7437]~E(f822(f822(f126(x74371),x74372),x74374),f822(f822(f126(x74371),x74373),x74375))+E(f822(f822(f167(x74371),f822(f183(f887(x74371)),x74372)),x74373),x74372)+P144(f822(f822(f226(a885),f822(f183(f887(x74371)),x74373)),f822(f183(f887(x74371)),x74372)))
% 218.59/218.72 [7947]~E(f822(f822(f126(x79471),x79472),x79474),f822(f822(f126(x79471),x79473),x79475))+E(f822(f822(f167(x79471),f822(f183(f887(x79471)),x79472)),x79473),x79472)+~P144(f822(f822(f226(a885),f822(f183(f887(x79471)),x79472)),f822(f183(f887(x79471)),x79473)))
% 218.59/218.72 [7971]~P144(f822(f60(x79711),f822(x79714,x79715)))+~P144(f822(f822(f318(x79712),x79715),x79713))+P144(f822(f60(x79711),f822(f822(f39(x79712,f892(x79711,a882)),x79713),x79714)))
% 218.59/218.72 [8148]~P54(x81481,x81483,x81485)+~P54(x81481,x81482,x81484)+P54(x81481,f822(f822(f96(f892(x81481,a882)),x81482),x81483),f822(f822(f96(f892(f891(x81481,x81481),a882)),x81484),x81485))
% 218.59/218.72 [8149]~P54(x81491,x81493,x81495)+~P54(x81491,x81492,x81494)+P54(x81491,f822(f822(f97(f892(x81491,a882)),x81492),x81493),f822(f822(f97(f892(f891(x81491,x81491),a882)),x81494),x81495))
% 218.59/218.72 [8498]E(f822(f822(f243(x84981,x84982),f822(f822(f156(x84981),x84983),x84984)),f822(f822(f156(x84982),x84985),x84984)),f822(f822(f156(f891(x84981,x84982)),f822(f822(f173(x84981,x84982),x84983),x84985)),x84984))+~P144(f822(f822(f227(a885),x84984),f822(f183(f887(x84981)),x84983)))+~P144(f822(f822(f227(a885),x84984),f822(f183(f887(x84982)),x84985)))
% 218.59/218.72 [8651]~P54(x86511,x86513,x86514)+P144(f822(f822(f318(x86511),x86512),x86513))+~P144(f822(f822(f318(f891(x86511,x86511)),f822(f822(f243(x86511,x86511),x86515),x86512)),x86514))
% 218.59/218.72 [8652]~P54(x86521,x86523,x86524)+P144(f822(f822(f318(x86521),x86522),x86523))+~P144(f822(f822(f318(f891(x86521,x86521)),f822(f822(f243(x86521,x86521),x86522),x86525)),x86524))
% 218.59/218.72 [8653]~P10(x86531,x86533,x86534)+P144(f822(f822(f318(x86531),x86532),x86533))+~P144(f822(f822(f318(f891(x86531,x86531)),f822(f822(f243(x86531,x86531),x86535),x86532)),x86534))
% 218.59/218.72 [8654]~P10(x86541,x86543,x86544)+P144(f822(f822(f318(x86541),x86542),x86543))+~P144(f822(f822(f318(f891(x86541,x86541)),f822(f822(f243(x86541,x86541),x86542),x86545)),x86544))
% 218.59/218.72 [8908]~P10(x89081,x89085,x89082)+E(f822(f274(x89081,x89081,x89082),f822(f822(f298(x89081),x89083),f182(f892(x89081,a882)))),f822(f274(x89081,x89081,x89082),f822(f822(f298(x89081),x89084),f182(f892(x89081,a882)))))+~P144(f822(f822(f318(f891(x89081,x89081)),f822(f822(f243(x89081,x89081),x89083),x89084)),x89082))
% 218.59/218.72 [9089]P144(f822(x90891,x90892))+~P144(f822(f822(f318(x90893),x90892),x90895))+P144(f822(f822(f318(x90893),f348(x90891,x90894,x90895,x90893)),f822(f822(f96(f892(x90893,a882)),x90895),x90894)))
% 218.59/218.72 [9090]P144(f822(x90901,x90902))+~P144(f822(f822(f318(x90903),x90902),x90904))+P144(f822(f822(f318(x90903),f348(x90901,x90904,x90905,x90903)),f822(f822(f96(f892(x90903,a882)),x90905),x90904)))
% 218.59/218.72 [9098]~P144(f822(x90982,x90985))+~P144(f822(f822(f318(x90981),x90985),x90984))+P144(f822(f822(f318(x90981),f345(x90982,x90983,x90984,x90981)),f822(f822(f96(f892(x90981,a882)),x90984),x90983)))
% 218.59/218.72 [9099]~P144(f822(x90992,x90995))+~P144(f822(f822(f318(x90991),x90995),x90993))+P144(f822(f822(f318(x90991),f345(x90992,x90993,x90994,x90991)),f822(f822(f96(f892(x90991,a882)),x90994),x90993)))
% 218.59/218.72 [9114]~P144(f822(f822(f226(f892(x91141,a882)),x91145),x91143))+~P144(f822(f822(f226(f892(x91141,a882)),x91142),x91144))+P144(f822(f822(f226(f892(x91141,a882)),f822(f822(f3(f892(x91141,a882)),x91142),x91143)),f822(f822(f3(f892(x91141,a882)),x91144),x91145)))
% 218.59/218.72 [9115]~P144(f822(f822(f226(f892(x91151,a882)),x91153),x91155))+~P144(f822(f822(f226(f892(x91151,a882)),x91152),x91154))+P144(f822(f822(f226(f892(x91151,a882)),f822(f822(f96(f892(x91151,a882)),x91152),x91153)),f822(f822(f96(f892(x91151,a882)),x91154),x91155)))
% 218.59/218.72 [9116]~P144(f822(f822(f226(f892(x91161,a882)),x91163),x91165))+~P144(f822(f822(f226(f892(x91161,a882)),x91162),x91164))+P144(f822(f822(f226(f892(x91161,a882)),f822(f822(f97(f892(x91161,a882)),x91162),x91163)),f822(f822(f97(f892(x91161,a882)),x91164),x91165)))
% 218.59/218.72 [9219]P144(f822(f822(f318(f891(x92191,x92191)),f822(f822(f243(x92191,x92191),x92192),x92193)),f310(x92191,x92194,x92195)))+~P144(f822(f822(f226(a885),f822(x92194,x92192)),f822(x92194,x92193)))+~P144(f822(f822(f318(f891(x92191,x92191)),f822(f822(f243(x92191,x92191),x92192),x92193)),x92195))
% 218.59/218.72 [9400]P144(f822(f822(f318(f891(x94001,x94001)),f822(f822(f243(x94001,x94001),x94002),x94003)),f296(x94001,x94004)))+~P144(f822(f822(f318(f891(x94001,x94001)),f822(f822(f243(x94001,x94001),x94002),x94005)),f296(x94001,x94004)))+~P144(f822(f822(f318(f891(x94001,x94001)),f822(f822(f243(x94001,x94001),x94005),x94003)),x94004))
% 218.59/218.72 [9401]P144(f822(f822(f318(f891(x94011,x94011)),f822(f822(f243(x94011,x94011),x94012),x94013)),f296(x94011,x94014)))+~P144(f822(f822(f318(f891(x94011,x94011)),f822(f822(f243(x94011,x94011),x94015),x94013)),f296(x94011,x94014)))+~P144(f822(f822(f318(f891(x94011,x94011)),f822(f822(f243(x94011,x94011),x94012),x94015)),x94014))
% 218.59/218.72 [9499]E(x94991,x94992)+E(f822(a107,f614(x94993,x94994,x94991,x94992,x94995)),x94994)+~P144(f822(f822(f318(f891(x94995,x94995)),f822(f822(f243(x94995,x94995),x94992),x94991)),f822(f822(f175(f891(x94995,x94995),a882),x94994),x94993)))
% 218.59/218.72 [9500]E(x95001,x95002)+E(f822(a107,f615(x95003,x95004,x95001,x95002,x95005)),x95004)+~P144(f822(f822(f318(f891(x95005,x95005)),f822(f822(f243(x95005,x95005),x95002),x95001)),f822(f822(f175(f891(x95005,x95005),a882),x95004),x95003)))
% 218.59/218.72 [9501]E(x95011,f2(a885))+E(f822(a107,f614(x95012,x95011,x95013,x95014,x95015)),x95011)+~P144(f822(f822(f318(f891(x95015,x95015)),f822(f822(f243(x95015,x95015),x95014),x95013)),f822(f822(f175(f891(x95015,x95015),a882),x95011),x95012)))
% 218.59/218.72 [9502]E(x95021,f2(a885))+E(f822(a107,f615(x95022,x95021,x95023,x95024,x95025)),x95021)+~P144(f822(f822(f318(f891(x95025,x95025)),f822(f822(f243(x95025,x95025),x95024),x95023)),f822(f822(f175(f891(x95025,x95025),a882),x95021),x95022)))
% 218.59/218.72 [9526]P144(f822(f822(f318(f891(x95261,x95261)),f822(f822(f243(x95261,x95261),x95262),x95263)),f822(f822(f278(x95261,x95261,x95261),x95264),f296(x95261,x95264))))+~P144(f822(f822(f318(f891(x95261,x95261)),f822(f822(f243(x95261,x95261),x95262),x95265)),x95264))+~P144(f822(f822(f318(f891(x95261,x95261)),f822(f822(f243(x95261,x95261),x95265),x95263)),x95264))
% 218.59/218.72 [9536]~P144(f822(f822(f318(f891(x95361,x95361)),f822(f822(f243(x95361,x95361),x95362),x95365)),f296(x95361,x95364)))+P144(f822(f822(f318(f891(x95361,x95361)),f822(f822(f243(x95361,x95361),x95362),x95363)),f822(f822(f278(x95361,x95361,x95361),x95364),f296(x95361,x95364))))+~P144(f822(f822(f318(f891(x95361,x95361)),f822(f822(f243(x95361,x95361),x95365),x95363)),x95364))
% 218.59/218.72 [9570]~P10(x95701,x95705,x95702)+~P144(f822(f822(f318(f891(x95701,x95701)),f822(f822(f243(x95701,x95701),x95703),x95704)),x95702))+P144(f822(f822(f226(f892(x95701,a882)),f822(f274(x95701,x95701,x95702),f822(f822(f298(x95701),x95703),f182(f892(x95701,a882))))),f822(f274(x95701,x95701,x95702),f822(f822(f298(x95701),x95704),f182(f892(x95701,a882))))))
% 218.59/218.72 [9623]P144(f822(f822(f318(f891(x96231,x96231)),f822(f822(f243(x96231,x96231),x96232),x96233)),f822(f822(f278(x96231,x96231,x96231),x96234),f296(x96231,x96234))))+~P144(f822(f822(f318(f891(x96231,x96231)),f822(f822(f243(x96231,x96231),x96232),x96235)),f822(f822(f278(x96231,x96231,x96231),x96234),f296(x96231,x96234))))+~P144(f822(f822(f318(f891(x96231,x96231)),f822(f822(f243(x96231,x96231),x96235),x96233)),x96234))
% 218.59/218.72 [9624]P144(f822(f822(f318(f891(x96241,x96241)),f822(f822(f243(x96241,x96241),x96242),x96243)),f822(f822(f278(x96241,x96241,x96241),x96244),f296(x96241,x96244))))+~P144(f822(f822(f318(f891(x96241,x96241)),f822(f822(f243(x96241,x96241),x96245),x96243)),f822(f822(f278(x96241,x96241,x96241),x96244),f296(x96241,x96244))))+~P144(f822(f822(f318(f891(x96241,x96241)),f822(f822(f243(x96241,x96241),x96242),x96245)),x96244))
% 218.59/218.72 [9673]~P144(f822(f65(x96731,x96731,x96734,x96732,x96733),x96735))+P144(f822(f822(f318(x96731),x96732),x96733))+P144(f822(f61(x96731,x96734,f822(f822(f298(x96731),x96732),x96733)),x96735))
% 218.59/218.72 [9714]~E(f822(f299(x97143,x97142,x97145),x97144),x97141)+E(x97141,f182(f892(x97142,a882)))+P144(f822(f822(f226(f892(x97143,a882)),f822(f299(x97142,x97143,f476(x97144,x97143,x97142,x97141)),x97141)),x97144))
% 218.59/218.72 [9761]~P7(x97615)+P144(f822(f822(f318(x97611),f361(x97612,x97613,x97614,x97611,x97615)),x97614))+P144(f822(f822(f226(x97615),f822(f822(f38(x97611,x97615),x97614),x97613)),x97612))
% 218.59/218.72 [9820]P33(x98201,x98202,x98203,x98204,x98205)+~E(f822(f183(f887(x98201)),x98204),f822(f183(f887(x98202)),x98205))+P144(f822(f822(f318(f891(x98201,x98202)),f713(x98205,x98204,x98203,x98202,x98201)),f822(f164(f891(x98201,x98202)),f822(f822(f173(x98201,x98202),x98204),x98205))))
% 218.59/218.72 [9821]P33(x98211,x98212,x98213,x98214,x98215)+~E(f822(f183(f887(x98211)),x98214),f822(f183(f887(x98212)),x98215))+P144(f822(f822(f318(f891(x98211,x98212)),f714(x98213,x98215,x98214,x98212,x98211)),f822(f164(f891(x98211,x98212)),f822(f822(f173(x98211,x98212),x98214),x98215))))
% 218.59/218.72 [9944]E(x99441,x99442)+P144(f822(f822(f318(f891(x99443,x99443)),f822(f822(f243(x99443,x99443),x99441),f608(x99444,x99445,x99442,x99441,x99443))),x99444))+~P144(f822(f822(f318(f891(x99443,x99443)),f822(f822(f243(x99443,x99443),x99441),x99442)),f822(f822(f175(f891(x99443,x99443),a882),x99445),x99444)))
% 218.59/218.72 [9945]E(x99451,f2(a885))+P144(f822(f822(f318(f891(x99452,x99452)),f822(f822(f243(x99452,x99452),x99453),f608(x99454,x99451,x99455,x99453,x99452))),x99454))+~P144(f822(f822(f318(f891(x99452,x99452)),f822(f822(f243(x99452,x99452),x99453),x99455)),f822(f822(f175(f891(x99452,x99452),a882),x99451),x99454)))
% 218.59/218.72 [9984]~P7(x99841)+~P144(f822(f822(f226(x99841),f822(x99844,f361(x99845,x99844,x99843,x99842,x99841))),x99845))+P144(f822(f822(f226(x99841),f822(f822(f38(x99842,x99841),x99843),x99844)),x99845))
% 218.59/218.72 [10039]E(x100391,x100392)+P144(f822(f822(f318(f891(x100393,x100393)),f822(f822(f243(x100393,x100393),f616(x100394,x100395,x100391,x100392,x100393)),x100391)),x100394))+~P144(f822(f822(f318(f891(x100393,x100393)),f822(f822(f243(x100393,x100393),x100392),x100391)),f822(f822(f175(f891(x100393,x100393),a882),x100395),x100394)))
% 218.59/218.72 [10040]E(x100401,f2(a885))+P144(f822(f822(f318(f891(x100402,x100402)),f822(f822(f243(x100402,x100402),f616(x100403,x100401,x100404,x100405,x100402)),x100404)),x100403))+~P144(f822(f822(f318(f891(x100402,x100402)),f822(f822(f243(x100402,x100402),x100405),x100404)),f822(f822(f175(f891(x100402,x100402),a882),x100401),x100403)))
% 218.59/218.72 [10044]E(x100441,x100442)+P144(f822(f822(f318(f891(x100443,x100443)),f822(f822(f243(x100443,x100443),x100441),f616(x100444,x100445,x100442,x100441,x100443))),f822(f822(f175(f891(x100443,x100443),a882),f615(x100444,x100445,x100442,x100441,x100443)),x100444)))+~P144(f822(f822(f318(f891(x100443,x100443)),f822(f822(f243(x100443,x100443),x100441),x100442)),f822(f822(f175(f891(x100443,x100443),a882),x100445),x100444)))
% 218.59/218.72 [10045]E(x100451,f2(a885))+P144(f822(f822(f318(f891(x100452,x100452)),f822(f822(f243(x100452,x100452),x100453),f616(x100454,x100451,x100455,x100453,x100452))),f822(f822(f175(f891(x100452,x100452),a882),f615(x100454,x100451,x100455,x100453,x100452)),x100454)))+~P144(f822(f822(f318(f891(x100452,x100452)),f822(f822(f243(x100452,x100452),x100453),x100455)),f822(f822(f175(f891(x100452,x100452),a882),x100451),x100454)))
% 218.59/218.72 [10099]E(x100991,x100992)+P144(f822(f822(f318(f891(x100993,x100993)),f822(f822(f243(x100993,x100993),f608(x100994,x100995,x100991,x100992,x100993)),x100991)),f822(f822(f175(f891(x100993,x100993),a882),f614(x100994,x100995,x100991,x100992,x100993)),x100994)))+~P144(f822(f822(f318(f891(x100993,x100993)),f822(f822(f243(x100993,x100993),x100992),x100991)),f822(f822(f175(f891(x100993,x100993),a882),x100995),x100994)))
% 218.59/218.72 [10100]E(x101001,f2(a885))+P144(f822(f822(f318(f891(x101002,x101002)),f822(f822(f243(x101002,x101002),f608(x101003,x101001,x101004,x101005,x101002)),x101004)),f822(f822(f175(f891(x101002,x101002),a882),f614(x101003,x101001,x101004,x101005,x101002)),x101003)))+~P144(f822(f822(f318(f891(x101002,x101002)),f822(f822(f243(x101002,x101002),x101005),x101004)),f822(f822(f175(f891(x101002,x101002),a882),x101001),x101003)))
% 218.59/218.72 [10132]~P72(x101322)+~P144(f822(f60(x101321),x101325))+E(f822(f822(f8(x101321,x101322),f822(f822(f9(x101321,x101322,x101322),f822(f822(f20(x101321,x101322,f892(x101322,x101322)),f822(f822(f10(a882,f892(x101322,f892(x101322,x101322)),x101321),f90(x101322)),f822(f822(f9(x101321,f892(x101321,a882),a882),f318(x101321)),x101323))),x101324)),f2(x101322))),x101325),f822(f822(f8(x101321,x101322),x101324),f822(f822(f97(f892(x101321,a882)),x101325),x101323)))
% 218.59/218.72 [8711]~P72(x87111)+~P144(f822(f60(x87114),x87115))+E(f822(f822(f79(x87111),f822(x87112,x87113)),f822(f822(f8(x87114,x87111),x87112),f822(f822(f3(f892(x87114,a882)),x87115),f822(f822(f298(x87114),x87113),f182(f892(x87114,a882)))))),f822(f822(f8(x87114,x87111),x87112),f822(f822(f298(x87114),x87113),x87115)))
% 218.59/218.72 [8712]~P76(x87121)+~P144(f822(f60(x87124),x87125))+E(f822(f822(f80(x87121),f822(x87122,x87123)),f822(f822(f11(x87124,x87121),x87122),f822(f822(f3(f892(x87124,a882)),x87125),f822(f822(f298(x87124),x87123),f182(f892(x87124,a882)))))),f822(f822(f11(x87124,x87121),x87122),f822(f822(f298(x87124),x87123),x87125)))
% 218.59/218.72 [9021]~P92(x90212)+~P15(x90212,f822(f160(x90212),f822(f822(f146(x90211,x90212),x90214),x90215)))+E(f822(f128(x90211,f822(f822(f10(x90212,a882,x90211),f822(f227(x90212),x90213)),x90214)),x90215),f169(x90211,f822(f822(f10(x90212,a882,x90211),f822(f227(x90212),x90213)),x90214),x90215))
% 218.59/218.72 [9045]~P72(x90451)+E(f822(f822(f79(x90451),f822(f822(f8(a885,x90451),x90452),f292(a885,x90453,x90454))),f822(f822(f8(a885,x90451),x90452),f292(a885,f822(f822(f79(a885),x90454),f77(a885)),f822(f822(f79(a885),x90454),x90455)))),f822(f822(f8(a885,x90451),x90452),f292(a885,x90453,f822(f822(f79(a885),x90454),x90455))))+~P144(f822(f822(f226(a885),x90453),f822(f822(f79(a885),x90454),f77(a885))))
% 218.59/218.72 [9046]~P144(f822(f822(f318(x90461),x90464),x90465))+~P144(f822(f822(f226(f892(x90461,a882)),f822(f164(x90461),x90462)),x90465))+P144(f822(f822(f226(f892(x90461,a882)),f822(f164(x90461),f822(f822(f151(x90461,x90462),x90463),x90464))),x90465))
% 218.59/218.72 [9279]~P7(x92792)+~P144(f822(f60(x92791),x92795))+E(f822(f822(f63(x92791,x92792,f822(f822(f10(x92792,f892(x92792,x92792),x92791),f96(x92792)),x92793)),x92794),x92795),f822(f822(f96(x92792),x92794),f822(f822(f38(x92791,x92792),x92795),x92793)))
% 218.59/218.72 [9280]~P7(x92802)+~P144(f822(f60(x92801),x92805))+E(f822(f822(f63(x92801,x92802,f822(f822(f10(x92802,f892(x92802,x92802),x92801),f97(x92802)),x92803)),x92804),x92805),f822(f822(f97(x92802),x92804),f822(f822(f39(x92801,x92802),x92805),x92803)))
% 218.59/218.72 [9328]E(f822(x93281,x93282),f822(x93281,x93283))+P144(f822(f822(f227(a885),f822(x93281,x93282)),f822(x93281,x93283)))+~P144(f822(f822(f318(f891(x93284,x93284)),f822(f822(f243(x93284,x93284),x93282),x93283)),f145(x93284,f822(f822(f143(f892(x93284,a885)),x93281),x93285))))
% 218.59/218.72 [9358]~E(f822(x93584,x93582),f822(x93584,x93583))+~P144(f822(f822(f318(f891(x93581,x93581)),f822(f822(f243(x93581,x93581),x93582),x93583)),f145(x93581,x93585)))+P144(f822(f822(f318(f891(x93581,x93581)),f822(f822(f243(x93581,x93581),x93582),x93583)),f145(x93581,f822(f822(f143(f892(x93581,a885)),x93584),x93585))))
% 218.59/218.72 [9377]~P26(x93771,x93772,x93773,x93775)+P26(x93771,x93772,x93773,f822(f822(f298(x93771),x93774),x93775))+P144(f822(f822(f318(x93772),f822(x93773,x93774)),f822(f299(x93771,x93772,x93773),f822(f822(f3(f892(x93771,a882)),x93775),f822(f822(f298(x93771),x93774),f182(f892(x93771,a882)))))))
% 218.59/218.72 [9381]P144(f822(x93812,x93815))+~P144(f822(f822(f318(x93811),x93815),f822(f164(x93811),x93813)))+E(f822(f822(f130(x93811),f822(f183(f887(x93811)),f169(x93811,x93812,f822(f822(f126(x93811),x93813),x93814)))),f822(f822(f126(x93811),x93813),x93814)),f822(f822(f126(x93811),f822(f822(f130(x93811),f822(f183(f887(x93811)),f169(x93811,x93812,x93813))),x93813)),x93814))
% 218.59/218.72 [9386]~P144(f822(f822(f318(f891(x93861,x93861)),f822(f822(f243(x93861,x93861),x93862),x93863)),f145(x93861,x93865)))+~P144(f822(f822(f226(a885),f822(x93864,x93862)),f822(x93864,x93863)))+P144(f822(f822(f318(f891(x93861,x93861)),f822(f822(f243(x93861,x93861),x93862),x93863)),f145(x93861,f822(f822(f143(f892(x93861,a885)),x93864),x93865))))
% 218.59/218.72 [9451]P144(f822(f822(f318(f891(x94514,x94514)),f822(f822(f243(x94514,x94514),x94512),x94513)),f145(x94514,x94515)))+P144(f822(f822(f227(a885),f822(x94511,x94512)),f822(x94511,x94513)))+~P144(f822(f822(f318(f891(x94514,x94514)),f822(f822(f243(x94514,x94514),x94512),x94513)),f145(x94514,f822(f822(f143(f892(x94514,a885)),x94511),x94515))))
% 218.59/218.72 [9596]~P144(f822(f822(f318(f891(f887(x95961),f887(x95961))),f822(f822(f243(f887(x95961),f887(x95961)),x95962),x95964)),f150(x95961,x95965)))+~P144(f822(f822(f227(a885),x95963),f822(f183(f887(x95961)),x95962)))+P144(f822(f822(f318(f891(x95961,x95961)),f822(f822(f243(x95961,x95961),f822(f822(f156(x95961),x95962),x95963)),f822(f822(f156(x95961),x95964),x95963))),x95965))
% 218.59/218.72 [9842]E(x98421,f2(a1))+~P144(f822(f48(x98423,x98421),f822(f822(f243(a1,a1),x98424),x98425)))+P144(f822(f48(f822(f822(f80(a1),x98422),x98423),x98421),f822(f822(f243(a1,a1),f822(f822(f79(a1),f822(f822(f80(a1),x98422),x98424)),f822(f822(f35(a1),f822(f822(f80(a1),x98422),x98425)),x98421))),f44(a1,f822(f822(f80(a1),x98422),x98425),x98421))))
% 218.59/218.72 [9846]~P144(f822(f822(f227(a885),f2(a885)),x98463))+~P144(f822(f47(x98462,x98463),f822(f822(f243(a885,a885),x98464),x98465)))+P144(f822(f47(f822(f822(f80(a885),x98461),x98462),x98463),f822(f822(f243(a885,a885),f822(f822(f79(a885),f822(f822(f80(a885),x98461),x98464)),f822(f822(f35(a885),f822(f822(f80(a885),x98461),x98465)),x98463))),f44(a885,f822(f822(f80(a885),x98461),x98465),x98463))))
% 218.59/218.72 [10154]~P72(x101542)+~P144(f822(f60(x101541),x101544))+E(f822(f822(f8(x101541,x101542),x101543),f822(f253(x101541),f822(f822(f20(x101541,a882,a882),f822(f822(f10(a882,f892(a882,a882),x101541),a315),f822(f822(f9(x101541,f892(x101541,a882),a882),f318(x101541)),x101544))),f822(f822(f9(x101541,f892(x101541,a882),a882),f318(x101541)),x101545)))),f822(f822(f8(x101541,x101542),f822(f822(f9(x101541,x101542,x101542),f822(f822(f20(x101541,x101542,f892(x101542,x101542)),f822(f822(f10(a882,f892(x101542,f892(x101542,x101542)),x101541),f90(x101542)),f822(f822(f9(x101541,f892(x101541,a882),a882),f318(x101541)),x101545))),x101543)),f2(x101542))),x101544))
% 218.59/218.72 [8355]~E(f822(f822(f126(x83551),x83552),x83555),f822(f822(f126(x83551),x83553),x83554))+E(f822(f822(f126(x83551),f822(f822(f130(x83551),f822(f183(f887(x83551)),x83552)),x83553)),x83554),x83555)+P144(f822(f822(f226(a885),f822(f183(f887(x83551)),x83553)),f822(f183(f887(x83551)),x83552)))
% 218.59/218.72 [8546]~E(f822(f822(f126(x85462),x85463),x85461),f822(f822(f126(x85462),x85464),x85465))+E(x85461,f822(f822(f126(x85462),f822(f822(f130(x85462),f822(f183(f887(x85462)),x85463)),x85464)),x85465))+~P144(f822(f822(f226(a885),f822(f183(f887(x85462)),x85463)),f822(f183(f887(x85462)),x85464)))
% 218.59/218.72 [8634]~E(f822(f822(f79(a885),f822(f822(f80(a885),x86343),x86344)),x86341),f822(f822(f79(a885),f822(f822(f80(a885),x86342),x86344)),x86345))+~P144(f822(f822(f226(a885),x86343),x86342))+E(x86341,f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f3(a885),x86342),x86343)),x86344)),x86345))
% 218.59/218.72 [8635]~E(f822(f822(f79(a885),f822(f822(f80(a885),x86351),x86353)),x86354),f822(f822(f79(a885),f822(f822(f80(a885),x86352),x86353)),x86355))+~P144(f822(f822(f226(a885),x86352),x86351))+E(f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f3(a885),x86351),x86352)),x86353)),x86354),x86355)
% 218.59/218.72 [8786]E(f822(f822(f79(a885),f822(f822(f80(a885),x87861),x87862)),x87863),f822(f822(f79(a885),f822(f822(f80(a885),x87864),x87862)),x87865))+~P144(f822(f822(f226(a885),x87864),x87861))+~E(x87865,f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f3(a885),x87861),x87864)),x87862)),x87863))
% 218.59/218.72 [8787]E(f822(f822(f79(a885),f822(f822(f80(a885),x87871),x87872)),x87873),f822(f822(f79(a885),f822(f822(f80(a885),x87874),x87872)),x87875))+~P144(f822(f822(f226(a885),x87874),x87871))+~E(f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f3(a885),x87871),x87874)),x87872)),x87873),x87875)
% 218.59/218.72 [9151]~P144(f822(f822(f276(a1),x91511),x91514))+~P144(f822(f822(f276(a1),x91511),f822(f822(f79(a1),x91512),x91515)))+P144(f822(f822(f276(a1),x91511),f822(f822(f79(a1),f822(f822(f79(a1),x91512),f822(f822(f80(a1),x91513),x91514))),x91515)))
% 218.59/218.72 [9378]~P144(f822(f822(f276(a1),x93781),x93784))+P144(f822(f822(f276(a1),x93781),f822(f822(f79(a1),x93782),x93783)))+~P144(f822(f822(f276(a1),x93781),f822(f822(f79(a1),f822(f822(f79(a1),x93782),f822(f822(f80(a1),x93785),x93784))),x93783)))
% 218.59/218.72 [9649]~P64(x96492)+~P144(f822(f60(x96491),x96495))+E(f822(f822(f11(x96491,x96492),f822(f822(f20(x96491,x96492,x96492),f822(f822(f10(x96492,f892(x96492,x96492),x96491),f280(x96492)),x96493)),x96494)),x96495),f822(f822(f280(x96492),f822(f822(f11(x96491,x96492),x96493),x96495)),f822(f822(f11(x96491,x96492),x96494),x96495)))
% 218.59/218.72 [9777]~E(f639(x97775,x97774,x97773,x97772,x97771),f634(x97775,x97774,x97773,x97772,x97771))+P144(f822(f822(f318(f891(x97771,x97771)),f822(f822(f243(x97771,x97771),x97772),x97773)),f296(x97771,x97774)))+~P144(f822(f822(f318(f891(x97771,x97771)),f822(f822(f243(x97771,x97771),x97772),x97773)),f296(x97771,f822(f822(f96(f892(f891(x97771,x97771),a882)),x97774),x97775))))
% 218.59/218.72 [9778]~E(f640(x97785,x97784,x97783,x97782,x97781),f641(x97785,x97784,x97783,x97782,x97781))+P144(f822(f822(f318(f891(x97781,x97781)),f822(f822(f243(x97781,x97781),x97782),x97783)),f296(x97781,x97784)))+~P144(f822(f822(f318(f891(x97781,x97781)),f822(f822(f243(x97781,x97781),x97782),x97783)),f296(x97781,f822(f822(f96(f892(f891(x97781,x97781),a882)),x97784),x97785))))
% 218.59/218.72 [9974]P144(f822(f822(f318(f891(x99741,x99741)),f822(f822(f243(x99741,x99741),x99742),f641(x99745,x99744,x99743,x99742,x99741))),f296(x99741,x99744)))+P144(f822(f822(f318(f891(x99741,x99741)),f822(f822(f243(x99741,x99741),x99742),x99743)),f296(x99741,x99744)))+~P144(f822(f822(f318(f891(x99741,x99741)),f822(f822(f243(x99741,x99741),x99742),x99743)),f296(x99741,f822(f822(f96(f892(f891(x99741,x99741),a882)),x99744),x99745))))
% 218.59/218.72 [10066]P144(f822(f822(f318(f891(x100661,x100661)),f822(f822(f243(x100661,x100661),f634(x100665,x100664,x100663,x100662,x100661)),x100663)),f296(x100661,x100664)))+P144(f822(f822(f318(f891(x100661,x100661)),f822(f822(f243(x100661,x100661),x100662),x100663)),f296(x100661,x100664)))+~P144(f822(f822(f318(f891(x100661,x100661)),f822(f822(f243(x100661,x100661),x100662),x100663)),f296(x100661,f822(f822(f96(f892(f891(x100661,x100661),a882)),x100664),x100665))))
% 218.59/218.72 [10106]P144(f822(f822(f318(f891(x101061,x101061)),f822(f822(f243(x101061,x101061),x101062),x101063)),f296(x101061,x101064)))+P144(f822(f822(f318(f891(x101061,x101061)),f822(f822(f243(x101061,x101061),f639(x101065,x101064,x101063,x101062,x101061)),f634(x101065,x101064,x101063,x101062,x101061))),x101065))+~P144(f822(f822(f318(f891(x101061,x101061)),f822(f822(f243(x101061,x101061),x101062),x101063)),f296(x101061,f822(f822(f96(f892(f891(x101061,x101061),a882)),x101064),x101065))))
% 218.59/218.72 [10107]P144(f822(f822(f318(f891(x101071,x101071)),f822(f822(f243(x101071,x101071),x101072),x101073)),f296(x101071,x101074)))+P144(f822(f822(f318(f891(x101071,x101071)),f822(f822(f243(x101071,x101071),f641(x101075,x101074,x101073,x101072,x101071)),f640(x101075,x101074,x101073,x101072,x101071))),x101075))+~P144(f822(f822(f318(f891(x101071,x101071)),f822(f822(f243(x101071,x101071),x101072),x101073)),f296(x101071,f822(f822(f96(f892(f891(x101071,x101071),a882)),x101074),x101075))))
% 218.59/218.72 [10241]~P144(f822(f822(f318(f891(f887(x102411),f887(x102411))),f822(f822(f243(f887(x102411),f887(x102411)),x102414),x102415)),f150(x102411,x102412)))+~P144(f822(f822(f318(f891(x102411,x102411)),x102413),f822(f164(f891(x102411,x102411)),f822(f822(f173(x102411,x102411),x102414),x102415))))+P144(f822(f822(f248(x102411,x102411,a882),f822(f822(f9(x102411,f892(f891(x102411,x102411),a882),f892(x102411,a882)),f822(f822(f10(f892(x102411,f892(f892(f891(x102411,x102411),a882),a882)),f892(f892(f891(x102411,x102411),a882),f892(x102411,a882)),x102411),f9(x102411,f892(f891(x102411,x102411),a882),a882)),f822(f822(f10(f892(x102411,f891(x102411,x102411)),f892(x102411,f892(f892(f891(x102411,x102411),a882),a882)),x102411),f822(f10(f891(x102411,x102411),f892(f892(f891(x102411,x102411),a882),a882),x102411),f318(f891(x102411,x102411)))),f243(x102411,x102411)))),x102412)),x102413))
% 218.59/218.72 [9677]~P144(f822(f822(f226(a885),x96773),x96772))+~P144(f822(f822(f227(a885),f822(f822(f79(a885),f822(f822(f80(a885),x96773),x96774)),x96771)),f822(f822(f79(a885),f822(f822(f80(a885),x96772),x96774)),x96775)))+P144(f822(f822(f227(a885),x96771),f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f3(a885),x96772),x96773)),x96774)),x96775)))
% 218.59/218.72 [9678]~P144(f822(f822(f226(a885),x96783),x96782))+~P144(f822(f822(f226(a885),f822(f822(f79(a885),f822(f822(f80(a885),x96783),x96784)),x96781)),f822(f822(f79(a885),f822(f822(f80(a885),x96782),x96784)),x96785)))+P144(f822(f822(f226(a885),x96781),f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f3(a885),x96782),x96783)),x96784)),x96785)))
% 218.59/218.72 [9696]~P144(f822(f822(f226(a885),x96961),x96964))+P144(f822(f822(f227(a885),f822(f822(f79(a885),f822(f822(f80(a885),x96961),x96962)),x96963)),f822(f822(f79(a885),f822(f822(f80(a885),x96964),x96962)),x96965)))+~P144(f822(f822(f227(a885),x96963),f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f3(a885),x96964),x96961)),x96962)),x96965)))
% 218.59/218.72 [9697]~P144(f822(f822(f226(a885),x96971),x96974))+P144(f822(f822(f226(a885),f822(f822(f79(a885),f822(f822(f80(a885),x96971),x96972)),x96973)),f822(f822(f79(a885),f822(f822(f80(a885),x96974),x96972)),x96975)))+~P144(f822(f822(f226(a885),x96973),f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f3(a885),x96974),x96971)),x96972)),x96975)))
% 218.59/218.72 [9818]~P144(f822(f822(f226(a885),x98182),x98181))+~P144(f822(f822(f227(a885),f822(f822(f79(a885),f822(f822(f80(a885),x98181),x98183)),x98184)),f822(f822(f79(a885),f822(f822(f80(a885),x98182),x98183)),x98185)))+P144(f822(f822(f227(a885),f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f3(a885),x98181),x98182)),x98183)),x98184)),x98185))
% 218.59/218.72 [9819]~P144(f822(f822(f226(a885),x98192),x98191))+~P144(f822(f822(f226(a885),f822(f822(f79(a885),f822(f822(f80(a885),x98191),x98193)),x98194)),f822(f822(f79(a885),f822(f822(f80(a885),x98192),x98193)),x98195)))+P144(f822(f822(f226(a885),f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f3(a885),x98191),x98192)),x98193)),x98194)),x98195))
% 218.59/218.72 [9864]~P144(f822(f822(f226(a885),x98644),x98641))+P144(f822(f822(f227(a885),f822(f822(f79(a885),f822(f822(f80(a885),x98641),x98642)),x98643)),f822(f822(f79(a885),f822(f822(f80(a885),x98644),x98642)),x98645)))+~P144(f822(f822(f227(a885),f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f3(a885),x98641),x98644)),x98642)),x98643)),x98645))
% 218.59/218.72 [9865]~P144(f822(f822(f226(a885),x98654),x98651))+P144(f822(f822(f226(a885),f822(f822(f79(a885),f822(f822(f80(a885),x98651),x98652)),x98653)),f822(f822(f79(a885),f822(f822(f80(a885),x98654),x98652)),x98655)))+~P144(f822(f822(f226(a885),f822(f822(f79(a885),f822(f822(f80(a885),f822(f822(f3(a885),x98651),x98654)),x98652)),x98653)),x98655))
% 218.59/218.72 [10094]~P13(x100941,x100942,x100945,x100943)+~P144(f822(f822(f318(f891(x100941,x100941)),x100944),x100945))+P144(f822(f822(f248(x100941,x100941,a882),f822(f822(f9(x100941,f892(x100941,x100942),f892(x100941,a882)),f822(f822(f10(f892(x100942,a882),f892(f892(x100941,x100942),f892(x100941,a882)),x100941),f10(x100942,a882,x100941)),f822(f822(f10(x100942,f892(x100942,a882),x100941),a314),x100943))),x100943)),x100944))
% 218.59/218.72 [7326]~P40(x73264,x73262,x73265,x73266)+P40(f27(x73261,x73263,x73264),x73262,x73265,x73266)+P144(f822(x73261,x73262))
% 218.59/218.72 [7406]~P40(x74062,x74064,x74065,x74066)+P40(f27(x74061,x74062,x74063),x74064,x74065,x74066)+~P144(f822(x74061,x74064))
% 218.59/218.72 [7492]P40(x74923,x74922,x74924,x74925)+~P40(f27(x74921,x74926,x74923),x74922,x74924,x74925)+P144(f822(x74921,x74922))
% 218.59/218.72 [7522]P40(x75221,x75222,x75223,x75224)+~P40(f27(x75225,x75221,x75226),x75222,x75223,x75224)+~P144(f822(x75225,x75222))
% 218.59/218.72 [7894]~P40(x78941,x78943,x78944,x78946)+~P40(x78942,x78946,x78944,x78945)+P40(f30(x78941,x78942),x78943,x78944,x78945)
% 218.59/218.72 [7897]P40(x78971,x78972,x78973,x78974)+P40(x78975,x78972,x78973,x78974)+~P40(f27(x78976,x78971,x78975),x78972,x78973,x78974)
% 218.59/218.72 [8510]~P21(x85106,x85101,x85102,x85104)+E(f822(f72(x85101,x85101,x85101,f822(x85102,x85103)),f822(x85104,x85105)),f822(f72(x85101,x85101,x85101,f822(x85104,x85105)),f822(x85102,x85103)))+~P144(f822(f60(x85106),x85105))
% 218.59/218.72 [8920]~P26(x89201,x89203,x89205,x89206)+~P26(x89203,x89202,x89204,f822(f299(x89201,x89203,x89205),x89206))+P26(x89201,x89202,f822(f72(x89203,x89202,x89201,x89204),x89205),x89206)
% 218.59/218.72 [9482]~P144(f822(f822(x94823,x94822),x94826))+~P144(f822(f822(x94824,x94825),x94822))+P144(f822(f822(f318(x94821),x94822),f289(x94821,x94823,x94824,x94825,x94826)))
% 218.59/218.72 [9483]~P144(f822(f822(x94834,x94832),x94836))+~P144(f822(f822(x94833,x94835),x94832))+P144(f822(f822(f318(x94831),x94832),f286(x94831,x94833,x94834,x94835,x94836)))
% 218.59/218.72 [9597]E(x95971,x95972)+E(x95973,x95974)+~P144(f822(f822(f318(f891(f887(x95975),f887(x95975))),f822(f822(f243(f887(x95975),f887(x95975)),f822(f822(f143(x95975),x95973),x95971)),f822(f822(f143(x95975),x95974),x95972))),f149(x95975,x95976)))
% 218.59/218.72 [9605]~E(x96052,x96054)+P144(f822(f822(f318(f891(f887(x96051),f887(x96051))),f822(f822(f243(f887(x96051),f887(x96051)),f822(f822(f143(x96051),x96052),x96053)),f822(f822(f143(x96051),x96054),x96055))),f137(x96051,x96056)))+~P144(f822(f822(f318(f891(f887(x96051),f887(x96051))),f822(f822(f243(f887(x96051),f887(x96051)),x96053),x96055)),f137(x96051,x96056)))
% 218.59/218.72 [9606]~E(x96062,x96064)+P144(f822(f822(f318(f891(f887(x96061),f887(x96061))),f822(f822(f243(f887(x96061),f887(x96061)),f822(f822(f143(x96061),x96062),x96063)),f822(f822(f143(x96061),x96064),x96065))),f139(x96061,x96066)))+~P144(f822(f822(f318(f891(f887(x96061),f887(x96061))),f822(f822(f243(f887(x96061),f887(x96061)),x96063),x96065)),f139(x96061,x96066)))
% 218.59/218.72 [9607]~E(x96072,x96074)+P144(f822(f822(f318(f891(f887(x96071),f887(x96071))),f822(f822(f243(f887(x96071),f887(x96071)),f822(f822(f143(x96071),x96072),x96073)),f822(f822(f143(x96071),x96074),x96075))),f149(x96071,x96076)))+~P144(f822(f822(f318(f891(f887(x96071),f887(x96071))),f822(f822(f243(f887(x96071),f887(x96071)),x96073),x96075)),f149(x96071,x96076)))
% 218.59/218.72 [9608]~E(x96082,x96084)+P144(f822(f822(f318(f891(f887(x96081),f887(x96081))),f822(f822(f243(f887(x96081),f887(x96081)),f822(f822(f126(x96081),x96082),x96083)),f822(f822(f126(x96081),x96084),x96085))),f149(x96081,x96086)))+~P144(f822(f822(f318(f891(f887(x96081),f887(x96081))),f822(f822(f243(f887(x96081),f887(x96081)),x96083),x96085)),f149(x96081,x96086)))
% 218.59/218.72 [9609]~E(x96093,x96095)+P144(f822(f822(f318(f891(f887(x96091),f887(x96091))),f822(f822(f243(f887(x96091),f887(x96091)),f822(f822(f126(x96091),x96092),x96093)),f822(f822(f126(x96091),x96094),x96095))),f149(x96091,x96096)))+~P144(f822(f822(f318(f891(f887(x96091),f887(x96091))),f822(f822(f243(f887(x96091),f887(x96091)),x96092),x96094)),f149(x96091,x96096)))
% 218.59/218.72 [9665]E(x96651,x96652)+P144(f822(f822(f318(f891(f887(x96653),f887(x96653))),f822(f822(f243(f887(x96653),f887(x96653)),x96651),x96652)),f149(x96653,x96654)))+~P144(f822(f822(f318(f891(f887(x96653),f887(x96653))),f822(f822(f243(f887(x96653),f887(x96653)),f822(f822(f143(x96653),x96655),x96651)),f822(f822(f143(x96653),x96656),x96652))),f149(x96653,x96654)))
% 218.59/218.72 [9822]~E(x98223,x98225)+P144(f822(f822(f318(f891(f887(x98221),f887(x98221))),f822(f822(f243(f887(x98221),f887(x98221)),f822(f822(f126(x98221),x98222),f822(f822(f143(x98221),x98223),f108(x98221)))),f822(f822(f126(x98221),x98224),f822(f822(f143(x98221),x98225),f108(x98221))))),f149(x98221,x98226)))+~P144(f822(f822(f318(f891(f887(x98221),f887(x98221))),f822(f822(f243(f887(x98221),f887(x98221)),x98222),x98224)),f149(x98221,x98226)))
% 218.59/218.72 [9868]E(x98681,x98682)+E(x98683,x98684)+~P144(f822(f822(f318(f891(f887(x98685),f887(x98685))),f822(f822(f243(f887(x98685),f887(x98685)),f822(f822(f126(x98685),x98683),f822(f822(f143(x98685),x98681),f108(x98685)))),f822(f822(f126(x98685),x98684),f822(f822(f143(x98685),x98682),f108(x98685))))),f149(x98685,x98686)))
% 218.59/218.72 [9892]E(x98921,x98922)+~P144(f822(f822(f318(f891(f887(x98923),f887(x98923))),f822(f822(f243(f887(x98923),f887(x98923)),f822(f822(f126(x98923),x98921),f822(f822(f143(x98923),x98925),f108(x98923)))),f822(f822(f126(x98923),x98922),f822(f822(f143(x98923),x98926),f108(x98923))))),f149(x98923,x98924)))+P144(f822(f822(f318(f891(f887(x98923),f887(x98923))),f822(f822(f243(f887(x98923),f887(x98923)),x98921),x98922)),f149(x98923,x98924)))
% 218.59/218.72 [9927]~P144(f822(f822(f318(f891(f892(x99271,a882),f892(x99271,a882))),f822(f822(f243(f892(x99271,a882),f892(x99271,a882)),x99272),x99274)),f307(x99271,x99276)))+~P144(f822(f822(f318(f891(f892(x99271,a882),f892(x99271,a882))),f822(f822(f243(f892(x99271,a882),f892(x99271,a882)),x99273),x99275)),f307(x99271,x99276)))+P144(f822(f822(f318(f891(f892(x99271,a882),f892(x99271,a882))),f822(f822(f243(f892(x99271,a882),f892(x99271,a882)),f822(f822(f96(f892(x99271,a882)),x99272),x99273)),f822(f822(f96(f892(x99271,a882)),x99274),x99275))),f307(x99271,x99276)))
% 218.59/218.72 [5659]~E(f822(f822(f126(x56591),x56596),x56593),x56595)+E(f822(f822(f126(x56591),x56592),x56593),f822(f822(f143(x56591),x56594),x56595))+~E(x56592,f822(f822(f143(x56591),x56594),x56596))
% 218.59/218.72 [5660]~E(f822(f822(f126(x56601),x56606),x56603),x56605)+E(f822(f822(f126(x56601),x56602),x56603),f822(f822(f126(x56601),x56604),x56605))+~E(x56602,f822(f822(f126(x56601),x56604),x56606))
% 218.59/218.72 [5662]E(f822(f822(f126(x56621),x56622),x56623),f822(f822(f143(x56621),x56624),x56625))+~E(f822(f822(f143(x56621),x56624),x56626),x56622)+~E(x56625,f822(f822(f126(x56621),x56626),x56623))
% 218.59/218.72 [5664]~E(f822(f822(f126(x56641),x56642),x56646),x56644)+E(f822(f822(f126(x56641),x56642),x56643),f822(f822(f126(x56641),x56644),x56645))+~E(x56643,f822(f822(f126(x56641),x56646),x56645))
% 218.59/218.72 [6861]E(f822(x68611,x68612),f822(x68613,x68612))+~E(f822(f822(f146(x68614,x68615),x68611),x68616),f822(f822(f146(x68614,x68615),x68613),x68616))+~P144(f822(f822(f318(x68614),x68612),f822(f164(x68614),x68616)))
% 218.59/218.72 [7257]~P21(x72574,x72575,x72576,x72571)+E(f822(f822(x72571,x72572),x72573),f822(f822(f63(x72574,x72575,x72576),x72573),x72572))+~P144(f822(f60(x72574),x72572))
% 218.59/218.72 [7331]~E(x73312,f822(x73314,x73316))+~P144(f822(f822(f318(x73313),x73316),x73315))+P144(f822(f822(f318(x73311),x73312),f822(f299(x73313,x73311,x73314),x73315)))
% 218.59/218.72 [7332]~E(f822(x73324,x73322),x73326)+~P144(f822(f822(f318(x73323),x73326),x73325))+P144(f822(f822(f318(x73321),x73322),f822(f300(x73321,x73323,x73324),x73325)))
% 218.59/218.72 [7800]~P31(x78001,x78002,x78004,x78006)+P31(x78001,x78002,f822(f822(f143(x78001),x78003),x78004),f822(f822(f143(x78001),x78005),x78006))+~P144(f822(f822(x78002,x78003),x78005))
% 218.59/218.72 [8794]~P58(x87944,x87945,x87941,x87942,x87946)+E(f822(x87941,f822(x87942,x87943)),x87943)+~P144(f822(f822(f318(x87945),x87943),x87946))
% 218.59/218.72 [9297]~P26(x92971,x92972,x92973,x92976)+P26(x92971,x92972,f74(x92971,x92972,x92973,x92974,x92975),x92976)+P144(f822(f822(f318(x92972),x92975),f822(f299(x92971,x92972,x92973),x92976)))
% 218.59/218.72 [9599]E(x95991,x95992)+E(f822(f183(f887(x95993)),x95994),f822(f183(f887(x95993)),x95995))+~P144(f822(f822(f318(f891(f887(x95993),f887(x95993))),f822(f822(f243(f887(x95993),f887(x95993)),f822(f822(f143(x95993),x95991),x95994)),f822(f822(f143(x95993),x95992),x95995))),f137(x95993,x95996)))
% 218.59/218.72 [9661]~P18(x96611,x96612,x96613)+E(f822(f822(f63(x96611,x96612,x96613),x96614),x96615),x96616)+~P144(f822(f65(x96611,x96612,x96613,x96614,x96615),x96616))
% 218.59/218.72 [9668]E(f822(f183(f887(x96681)),x96682),f822(f183(f887(x96681)),x96683))+P144(f822(f822(f318(f891(f887(x96681),f887(x96681))),f822(f822(f243(f887(x96681),f887(x96681)),x96682),x96683)),f137(x96681,x96684)))+~P144(f822(f822(f318(f891(f887(x96681),f887(x96681))),f822(f822(f243(f887(x96681),f887(x96681)),f822(f822(f143(x96681),x96685),x96682)),f822(f822(f143(x96681),x96686),x96683))),f137(x96681,x96684)))
% 218.59/218.72 [9688]~P144(f822(f822(f318(f891(x96881,x96881)),f822(f822(f243(x96881,x96881),x96882),x96884)),f296(x96881,x96886)))+P144(f822(f822(f318(f891(f887(x96881),f887(x96881))),f822(f822(f243(f887(x96881),f887(x96881)),f822(f822(f143(x96881),x96882),x96883)),f822(f822(f143(x96881),x96884),x96885))),f296(f887(x96881),f149(x96881,x96886))))+~P144(f822(f822(f318(f891(f887(x96881),f887(x96881))),f822(f822(f243(f887(x96881),f887(x96881)),x96883),x96885)),f296(f887(x96881),f149(x96881,x96886))))
% 218.59/218.72 [9874]~P144(f822(x98742,x98746))+~E(f822(f128(x98741,x98742),x98743),f822(f822(f143(x98741),x98744),x98745))+~P144(f822(f822(f318(x98741),x98746),f822(f164(x98741),f764(x98745,x98744,x98743,x98742,x98741))))
% 218.59/218.72 [9875]~P144(f822(x98754,x98756))+~E(f822(f822(f143(x98751),x98752),x98753),f822(f128(x98751,x98754),x98755))+~P144(f822(f822(f318(x98751),x98756),f822(f164(x98751),f762(x98755,x98754,x98753,x98752,x98751))))
% 218.59/218.72 [10183]~P72(x101832)+E(f822(f822(f8(x101831,x101832),f822(f822(f10(f892(x101833,a882),x101832,x101831),f822(f8(x101833,x101832),x101834)),f822(f822(f10(f892(x101833,a882),f892(x101833,a882),x101831),f253(x101833)),f822(f822(f10(f892(x101833,a882),f892(x101833,a882),x101831),f822(f20(x101833,a882,a882),f822(f822(f10(a882,f892(a882,a882),x101833),a315),f822(f822(f9(x101833,f892(x101833,a882),a882),f318(x101833)),x101835)))),f822(f9(x101833,x101831,a882),f822(f822(f10(x101831,f892(x101831,a882),x101833),a314),x101836)))))),f822(f299(x101833,x101831,x101836),x101835)),f822(f822(f8(x101833,x101832),x101834),x101835))+~P144(f822(f60(x101833),x101835))
% 218.59/218.72 [6920]~P92(x69203)+P144(f822(x69202,x69205))+E(f822(f128(x69201,x69202),f822(f822(f140(x69201,x69203,x69204),x69205),x69206)),f822(f128(x69201,x69202),x69206))
% 218.59/218.72 [6922]P144(f822(x69221,x69222))+~E(f158(x69223,x69221,x69224),f822(f822(f243(f887(x69223),f887(x69223)),x69225),x69226))+~P144(f822(f822(f318(x69223),x69222),f822(f164(x69223),x69225)))
% 218.59/218.72 [6970]~P144(f822(x69702,x69706))+~E(f158(x69701,x69702,x69703),f822(f822(f243(f887(x69701),f887(x69701)),x69704),x69705))+~P144(f822(f822(f318(x69701),x69706),f822(f164(x69701),x69705)))
% 218.59/218.72 [7662]~P16(x76621,x76622,x76623)+~P144(f822(f60(x76621),x76626))+E(f822(f822(f63(x76621,x76622,x76623),x76624),f822(f822(f298(x76621),x76625),x76626)),f822(f822(f63(x76621,x76622,x76623),f822(f822(x76623,x76625),x76624)),x76626))
% 218.59/218.72 [7715]~P92(x77152)+~P144(f822(f822(f226(x77152),f822(x77153,x77154)),f822(x77153,x77155)))+E(f822(f822(f140(x77151,x77152,x77153),x77154),f822(f822(f143(x77151),x77155),x77156)),f822(f822(f143(x77151),x77154),f822(f822(f143(x77151),x77155),x77156)))
% 218.59/218.72 [7828]E(x78281,x78282)+~E(f822(f822(f245(x78283,x78284),x78281),f822(f18(f892(x78284,a882),x78283),x78285)),f822(f822(f245(x78283,x78284),x78282),f822(f18(f892(x78284,a882),x78283),x78285)))+~P144(f822(f822(f318(x78284),x78286),x78285))
% 218.59/218.72 [7899]~P16(x78991,x78992,x78993)+~P144(f822(f60(x78991),x78996))+E(f822(f822(f63(x78991,x78992,x78993),x78994),f822(f822(f298(x78991),x78995),x78996)),f822(f822(x78993,x78995),f822(f822(f63(x78991,x78992,x78993),x78994),x78996)))
% 218.59/218.72 [8018]~P18(x80181,x80182,x80183)+~P144(f822(f60(x80181),x80186))+E(f822(f822(f63(x80181,x80182,x80183),f822(f822(x80183,x80184),x80185)),x80186),f822(f822(x80183,x80184),f822(f822(f63(x80181,x80182,x80183),x80185),x80186)))
% 218.59/218.72 [8087]~P22(x80872,x80875,x80876,x80871)+~P144(f822(f60(x80872),x80874))+E(f822(x80871,f822(f822(f298(x80872),x80873),x80874)),f822(f72(x80875,x80875,x80875,f822(x80871,x80874)),f822(x80876,x80873)))
% 218.59/218.72 [8120]~P92(x81202)+P144(f822(f822(f226(x81202),f822(x81203,x81204)),f822(x81203,x81205)))+E(f822(f822(f140(x81201,x81202,x81203),x81204),f822(f822(f143(x81201),x81205),x81206)),f822(f822(f143(x81201),x81205),f822(f822(f140(x81201,x81202,x81203),x81204),x81206)))
% 218.59/218.72 [8262]~E(f822(f183(f887(x82621)),x82625),f822(f183(f887(x82622)),x82626))+~E(f822(f183(f887(x82621)),x82623),f822(f183(f887(x82622)),x82624))+E(f822(f822(f126(f891(x82621,x82622)),f822(f822(f173(x82621,x82622),x82623),x82624)),f822(f822(f173(x82621,x82622),x82625),x82626)),f822(f822(f173(x82621,x82622),f822(f822(f126(x82621),x82623),x82625)),f822(f822(f126(x82622),x82624),x82626)))
% 218.59/218.72 [8373]~E(x83732,f822(f299(x83733,x83731,x83734),x83736))+P144(f822(f822(f226(f892(x83731,a882)),x83732),f822(f299(x83733,x83731,x83734),x83735)))+~P144(f822(f822(f226(f892(x83733,a882)),x83736),x83735))
% 218.59/218.72 [8469]~P92(x84695)+E(f822(x84691,x84692),f822(x84691,x84693))+E(f822(f822(f140(x84694,x84695,x84691),x84692),f822(f822(f140(x84694,x84695,x84691),x84693),x84696)),f822(f822(f140(x84694,x84695,x84691),x84693),f822(f822(f140(x84694,x84695,x84691),x84692),x84696)))
% 218.59/218.72 [8643]~P144(f822(f822(f318(x86432),x86434),f822(x86436,x86433)))+~P144(f822(f822(f318(x86431),x86433),x86435))+P144(f822(f822(f318(f891(x86431,x86432)),f822(f822(f243(x86431,x86432),x86433),x86434)),f822(f822(f245(x86431,x86432),x86435),x86436)))
% 218.59/218.72 [9087]~P72(x90872)+~P26(x90874,x90871,x90875,x90876)+E(f822(f822(f8(x90871,x90872),x90873),f822(f299(x90874,x90871,x90875),x90876)),f822(f822(f8(x90874,x90872),f822(f72(x90871,x90872,x90874,x90873),x90875)),x90876))
% 218.59/218.72 [9088]~P76(x90882)+~P26(x90884,x90881,x90885,x90886)+E(f822(f822(f11(x90881,x90882),x90883),f822(f299(x90884,x90881,x90885),x90886)),f822(f822(f11(x90884,x90882),f822(f72(x90881,x90882,x90884,x90883),x90885)),x90886))
% 218.59/218.72 [9134]~P33(x91342,x91345,x91341,x91343,x91346)+P144(f822(f822(x91341,f822(f822(f156(x91342),x91343),x91344)),f822(f822(f156(x91345),x91346),x91344)))+~P144(f822(f822(f227(a885),x91344),f822(f183(f887(x91345)),x91346)))
% 218.59/218.72 [9135]~P33(x91352,x91355,x91351,x91353,x91356)+P144(f822(f822(x91351,f822(f822(f156(x91352),x91353),x91354)),f822(f822(f156(x91355),x91356),x91354)))+~P144(f822(f822(f227(a885),x91354),f822(f183(f887(x91352)),x91353)))
% 218.59/218.72 [9145]~E(f822(f299(x91451,x91452,x91453),x91454),x91456)+E(f822(f299(x91451,x91452,x91453),f822(f299(x91452,x91451,f91(x91451,x91452,x91454,x91453)),x91455)),x91455)+~P144(f822(f822(f226(f892(x91452,a882)),x91455),x91456))
% 218.59/218.72 [9354]~P21(x93543,x93541,x93546,x93542)+~P144(f822(f60(x93543),x93544))+E(f822(f72(x93541,x93541,x93541,f822(x93542,f822(f822(f3(f892(x93543,a882)),x93544),f822(f822(f298(x93543),x93545),f182(f892(x93543,a882)))))),f822(x93546,x93545)),f822(x93542,f822(f822(f298(x93543),x93545),x93544)))
% 218.59/218.72 [9956]~E(f822(f299(x99562,x99564,x99566),f233(f892(x99562,a882))),f233(f892(x99564,a882)))+~E(f822(f299(x99561,x99563,x99565),f233(f892(x99561,a882))),f233(f892(x99563,a882)))+E(f822(f299(f891(x99561,x99562),f891(x99563,x99564),f249(x99561,x99563,x99562,x99564,x99565,x99566)),f233(f892(f891(x99561,x99562),a882))),f233(f892(f891(x99563,x99564),a882)))
% 218.59/218.72 [10016]~P26(x100163,x100164,x100165,f822(x100166,f632(x100166,x100165,x100164,x100163,x100162,x100161)))+P26(x100163,x100164,x100165,f822(f822(f39(x100162,f892(x100163,a882)),x100161),x100166))+E(x100161,f182(f892(x100162,a882)))
% 218.59/218.72 [10073]P26(x100736,x100735,x100734,f822(f822(f39(x100732,f892(x100736,a882)),x100731),x100733))+E(x100731,f182(f892(x100732,a882)))+P144(f822(f822(f318(x100732),f632(x100733,x100734,x100735,x100736,x100732,x100731)),x100731))
% 218.59/218.72 [10079]P144(f822(f822(f318(x100791),f576(x100792,x100793,x100794,x100795,x100796,x100791)),x100796))+P144(f822(f822(f226(f892(f891(x100791,x100794),a882)),f822(f822(f245(x100791,x100794),x100796),x100793)),f822(f822(f245(x100791,x100794),x100795),x100792)))+~P144(f822(f822(f226(f892(x100791,a882)),x100796),x100795))
% 218.59/218.72 [10200]~P144(f822(f822(f226(f892(x102002,a882)),f822(x102004,f576(x102006,x102004,x102002,x102005,x102003,x102001))),f822(x102006,f576(x102006,x102004,x102002,x102005,x102003,x102001))))+~P144(f822(f822(f226(f892(x102001,a882)),x102003),x102005))+P144(f822(f822(f226(f892(f891(x102001,x102002),a882)),f822(f822(f245(x102001,x102002),x102003),x102004)),f822(f822(f245(x102001,x102002),x102005),x102006)))
% 218.59/218.72 [7850]~P144(f822(x78501,x78505))+~P144(f822(x78506,x78504))+P144(f822(x78501,f822(f247(x78502,x78503),f822(f822(f243(x78502,x78503),x78504),x78505))))
% 218.59/218.72 [7851]~P144(f822(x78511,x78514))+~P144(f822(x78516,x78515))+P144(f822(x78511,f822(f242(x78512,x78513),f822(f822(f243(x78512,x78513),x78514),x78515))))
% 218.59/218.72 [7904]~P144(f822(f822(x79044,x79046),x79045))+~P144(f822(f822(f318(x79041),x79046),x79043))+P144(f822(f822(f822(f38(x79041,f892(x79042,a882)),x79043),x79044),x79045))
% 218.59/218.72 [8213]~P144(f822(f822(f318(x82131),x82132),f822(x82135,x82136)))+~P144(f822(f822(f318(x82133),x82136),x82134))+P144(f822(f822(f318(x82131),x82132),f822(f822(f38(x82133,f892(x82131,a882)),x82134),x82135)))
% 218.59/218.72 [8256]P144(f822(f822(x82561,x82562),x82563))+~P144(f822(f822(x82564,x82562),x82563))+~P144(f822(f822(f226(f892(x82565,f892(x82566,a882))),x82564),x82561))
% 218.59/218.72 [8395]P144(f822(f822(x83951,x83952),x83953))+~P144(f822(f822(f318(x83954),x83952),x83955))+~P144(f822(f822(f822(f39(x83954,f892(x83956,a882)),x83955),x83951),x83953))
% 218.59/218.72 [8525]P144(f822(f822(f318(x85251),x85252),f822(x85253,x85254)))+~P144(f822(f822(f318(x85255),x85254),x85256))+~P144(f822(f822(f318(x85251),x85252),f822(f822(f39(x85255,f892(x85251,a882)),x85256),x85253)))
% 218.59/218.72 [8776]~P13(x87764,x87765,x87766,x87761)+E(f822(x87761,x87762),f822(x87761,x87763))+~P144(f822(f822(f318(f891(x87764,x87764)),f822(f822(f243(x87764,x87764),x87762),x87763)),x87766))
% 218.59/218.72 [8807]P144(f822(f822(f226(f892(x88071,a882)),x88072),f822(x88073,x88074)))+~P144(f822(f822(f318(x88075),x88074),x88076))+~P144(f822(f822(f226(f892(x88071,a882)),x88072),f822(f822(f39(x88075,f892(x88071,a882)),x88076),x88073)))
% 218.59/218.72 [8837]~P56(x88373,x88374,f822(f275(x88374,x88373),x88375))+E(x88371,f182(f892(x88372,a882)))+E(f822(f822(f39(x88372,f892(x88373,a882)),x88371),f822(f822(f10(f892(x88374,a882),f892(x88373,a882),x88372),f274(x88374,x88373,x88375)),x88376)),f822(f274(x88374,x88373,x88375),f822(f822(f39(x88372,f892(x88374,a882)),x88371),x88376)))
% 218.59/218.72 [8911]P144(f822(f822(f318(x89111),x89112),f822(f274(x89113,x89111,x89114),x89115)))+~P144(f822(f822(f318(x89113),x89116),x89115))+~P144(f822(f822(f318(f891(x89113,x89111)),f822(f822(f243(x89113,x89111),x89116),x89112)),x89114))
% 218.59/218.72 [9221]P144(f822(f822(f226(f892(x92211,a882)),f822(f274(x92212,x92211,x92213),x92214)),f822(f274(x92212,x92211,x92215),x92216)))+~P144(f822(f822(f226(f892(x92212,a882)),x92214),x92216))+~P144(f822(f822(f226(f892(f891(x92212,x92211),a882)),x92213),x92215))
% 218.59/218.72 [9402]~P144(f822(f822(f318(x94022),x94026),x94024))+~P144(f822(f822(f226(f892(x94021,a882)),x94023),x94025))+P144(f822(f822(f226(f892(f891(x94021,x94022),a882)),f822(f822(f245(x94021,x94022),x94023),f822(f18(f892(x94022,a882),x94021),x94024))),f822(f822(f245(x94021,x94022),x94025),f822(f18(f892(x94022,a882),x94021),x94024))))
% 218.59/218.72 [9414]~P33(x94141,x94142,x94143,x94145,x94146)+P144(f822(f822(f248(x94141,x94142,a882),x94143),x94144))+~P144(f822(f822(f318(f891(x94141,x94142)),x94144),f822(f164(f891(x94141,x94142)),f822(f822(f173(x94141,x94142),x94145),x94146))))
% 218.59/218.72 [9558]~E(x95583,x95585)+P144(f822(f822(f318(f891(f887(x95581),f887(x95581))),f822(f822(f243(f887(x95581),f887(x95581)),f822(f822(f143(x95581),x95582),x95583)),f822(f822(f143(x95581),x95584),x95585))),f149(x95581,x95586)))+~P144(f822(f822(f318(f891(x95581,x95581)),f822(f822(f243(x95581,x95581),x95582),x95584)),x95586))
% 218.59/218.72 [9563]~E(f822(f183(f887(x95631)),x95633),f822(f183(f887(x95631)),x95635))+P144(f822(f822(f318(f891(f887(x95631),f887(x95631))),f822(f822(f243(f887(x95631),f887(x95631)),f822(f822(f143(x95631),x95632),x95633)),f822(f822(f143(x95631),x95634),x95635))),f137(x95631,x95636)))+~P144(f822(f822(f318(f891(x95631,x95631)),f822(f822(f243(x95631,x95631),x95632),x95634)),x95636))
% 218.59/218.72 [9591]P144(f822(f822(f318(f891(x95911,x95911)),f822(f822(f243(x95911,x95911),x95912),x95913)),f822(f822(f175(f891(x95911,x95911),a882),f822(a107,x95914)),x95915)))+~P144(f822(f822(f318(f891(x95911,x95911)),f822(f822(f243(x95911,x95911),x95916),x95913)),x95915))+~P144(f822(f822(f318(f891(x95911,x95911)),f822(f822(f243(x95911,x95911),x95912),x95916)),f822(f822(f175(f891(x95911,x95911),a882),x95914),x95915)))
% 218.59/218.72 [9592]P144(f822(f822(f318(f891(x95921,x95921)),f822(f822(f243(x95921,x95921),x95922),x95923)),f822(f822(f175(f891(x95921,x95921),a882),f822(a107,x95924)),x95925)))+~P144(f822(f822(f318(f891(x95921,x95921)),f822(f822(f243(x95921,x95921),x95922),x95926)),x95925))+~P144(f822(f822(f318(f891(x95921,x95921)),f822(f822(f243(x95921,x95921),x95926),x95923)),f822(f822(f175(f891(x95921,x95921),a882),x95924),x95925)))
% 218.59/218.72 [9595]~P144(f822(f822(f318(x95954),x95955),x95956))+P144(f822(f822(f226(f892(x95951,a882)),x95952),x95953))+~P144(f822(f822(f226(f892(f891(x95951,x95954),a882)),f822(f822(f245(x95951,x95954),x95952),f822(f18(f892(x95954,a882),x95951),x95956))),f822(f822(f245(x95951,x95954),x95953),f822(f18(f892(x95954,a882),x95951),x95956))))
% 218.59/218.72 [9639]E(x96391,x96392)+~P144(f822(f822(f318(f891(f887(x96393),f887(x96393))),f822(f822(f243(f887(x96393),f887(x96393)),f822(f822(f143(x96393),x96391),x96395)),f822(f822(f143(x96393),x96392),x96396))),f137(x96393,x96394)))+P144(f822(f822(f318(f891(x96393,x96393)),f822(f822(f243(x96393,x96393),x96391),x96392)),x96394))
% 218.59/218.72 [9640]E(x96401,x96402)+~P144(f822(f822(f318(f891(f887(x96403),f887(x96403))),f822(f822(f243(f887(x96403),f887(x96403)),f822(f822(f143(x96403),x96401),x96405)),f822(f822(f143(x96403),x96402),x96406))),f139(x96403,x96404)))+P144(f822(f822(f318(f891(x96403,x96403)),f822(f822(f243(x96403,x96403),x96401),x96402)),x96404))
% 218.59/218.72 [9641]E(x96411,x96412)+~P144(f822(f822(f318(f891(f887(x96413),f887(x96413))),f822(f822(f243(f887(x96413),f887(x96413)),f822(f822(f143(x96413),x96411),x96415)),f822(f822(f143(x96413),x96412),x96416))),f149(x96413,x96414)))+P144(f822(f822(f318(f891(x96413,x96413)),f822(f822(f243(x96413,x96413),x96411),x96412)),x96414))
% 218.59/218.72 [9676]P144(f822(f822(f318(f891(f887(x96761),f887(x96761))),f822(f822(f243(f887(x96761),f887(x96761)),f822(f822(f143(x96761),x96762),x96763)),f822(f822(f143(x96761),x96764),x96765))),f150(x96761,x96766)))+~P144(f822(f822(f318(f891(f887(x96761),f887(x96761))),f822(f822(f243(f887(x96761),f887(x96761)),x96763),x96765)),f150(x96761,x96766)))+~P144(f822(f822(f318(f891(x96761,x96761)),f822(f822(f243(x96761,x96761),x96762),x96764)),x96766))
% 218.59/218.72 [9694]P144(f822(x96941,x96942))+~P144(f822(x96941,f353(x96941,x96943,x96944,x96945,x96946)))+~P144(f822(f822(f318(x96946),x96942),f822(f822(f38(x96945,f892(x96946,a882)),x96944),x96943)))
% 218.59/218.72 [9699]~P144(f822(f822(f318(f891(f887(x96991),f887(x96991))),f822(f822(f243(f887(x96991),f887(x96991)),f822(f822(f143(x96991),x96992),x96995)),f822(f822(f143(x96991),x96993),x96996))),f137(x96991,x96994)))+P144(f822(f822(f318(f891(f887(x96991),f887(x96991))),f822(f822(f243(f887(x96991),f887(x96991)),x96995),x96996)),f137(x96991,x96994)))+P144(f822(f822(f318(f891(x96991,x96991)),f822(f822(f243(x96991,x96991),x96992),x96993)),x96994))
% 218.59/218.72 [9700]~P144(f822(f822(f318(f891(f887(x97001),f887(x97001))),f822(f822(f243(f887(x97001),f887(x97001)),f822(f822(f143(x97001),x97002),x97005)),f822(f822(f143(x97001),x97003),x97006))),f139(x97001,x97004)))+P144(f822(f822(f318(f891(f887(x97001),f887(x97001))),f822(f822(f243(f887(x97001),f887(x97001)),x97005),x97006)),f139(x97001,x97004)))+P144(f822(f822(f318(f891(x97001,x97001)),f822(f822(f243(x97001,x97001),x97002),x97003)),x97004))
% 218.59/218.72 [9701]~P144(f822(f822(f318(f891(f887(x97011),f887(x97011))),f822(f822(f243(f887(x97011),f887(x97011)),f822(f822(f143(x97011),x97012),x97015)),f822(f822(f143(x97011),x97013),x97016))),f149(x97011,x97014)))+P144(f822(f822(f318(f891(f887(x97011),f887(x97011))),f822(f822(f243(f887(x97011),f887(x97011)),x97015),x97016)),f149(x97011,x97014)))+P144(f822(f822(f318(f891(x97011,x97011)),f822(f822(f243(x97011,x97011),x97012),x97013)),x97014))
% 218.59/218.72 [9787]P144(f822(x97871,x97872))+P144(f822(f822(f318(x97873),f354(x97871,x97874,x97875,x97873,x97876)),x97875))+~P144(f822(f822(f318(x97876),x97872),f822(f822(f38(x97873,f892(x97876,a882)),x97875),x97874)))
% 218.59/218.72 [9798]~E(x97982,x97984)+P144(f822(f822(f318(f891(f887(x97981),f887(x97981))),f822(f822(f243(f887(x97981),f887(x97981)),f822(f822(f126(x97981),x97982),f822(f822(f143(x97981),x97983),f108(x97981)))),f822(f822(f126(x97981),x97984),f822(f822(f143(x97981),x97985),f108(x97981))))),f149(x97981,x97986)))+~P144(f822(f822(f318(f891(x97981,x97981)),f822(f822(f243(x97981,x97981),x97983),x97985)),x97986))
% 218.59/218.72 [9882]E(x98821,x98822)+~P144(f822(f822(f318(f891(f887(x98823),f887(x98823))),f822(f822(f243(f887(x98823),f887(x98823)),f822(f822(f126(x98823),x98825),f822(f822(f143(x98823),x98821),f108(x98823)))),f822(f822(f126(x98823),x98826),f822(f822(f143(x98823),x98822),f108(x98823))))),f149(x98823,x98824)))+P144(f822(f822(f318(f891(x98823,x98823)),f822(f822(f243(x98823,x98823),x98821),x98822)),x98824))
% 218.59/218.72 [9911]~P144(f822(f822(f318(f891(f887(x99111),f887(x99111))),f822(f822(f243(f887(x99111),f887(x99111)),f822(f822(f126(x99111),x99115),f822(f822(f143(x99111),x99112),f108(x99111)))),f822(f822(f126(x99111),x99116),f822(f822(f143(x99111),x99113),f108(x99111))))),f149(x99111,x99114)))+P144(f822(f822(f318(f891(f887(x99111),f887(x99111))),f822(f822(f243(f887(x99111),f887(x99111)),x99115),x99116)),f149(x99111,x99114)))+P144(f822(f822(f318(f891(x99111,x99111)),f822(f822(f243(x99111,x99111),x99112),x99113)),x99114))
% 218.59/218.72 [9928]P144(f822(x99281,x99282))+P144(f822(f822(f318(x99283),f353(x99281,x99284,x99285,x99286,x99283)),f822(x99284,f354(x99281,x99284,x99285,x99286,x99283))))+~P144(f822(f822(f318(x99283),x99282),f822(f822(f38(x99286,f892(x99283,a882)),x99285),x99284)))
% 218.59/218.72 [8931]~P18(x89313,x89314,x89311)+~P144(f822(f60(x89313),x89316))+E(f822(f822(x89311,x89312),f822(f822(f63(x89313,x89314,x89311),x89315),f822(f822(f3(f892(x89313,a882)),x89316),f822(f822(f298(x89313),x89312),f182(f892(x89313,a882)))))),f822(f822(f63(x89313,x89314,x89311),x89315),f822(f822(f298(x89313),x89312),x89316)))
% 218.59/218.72 [9230]~P144(f822(f822(f318(x92305),x92303),x92306))+P144(f822(f822(f226(f892(x92301,a882)),f822(x92302,x92303)),x92304))+~P144(f822(f822(f226(f892(x92301,a882)),f822(f822(f38(x92305,f892(x92301,a882)),x92306),x92302)),x92304))
% 218.59/218.72 [9857]~P10(x98571,x98575,x98574)+P144(f822(f822(f318(f891(x98571,x98571)),f822(f822(f243(x98571,x98571),x98572),x98573)),x98574))+~P144(f822(f822(f318(x98571),x98576),f822(f822(f97(f892(x98571,a882)),f822(f274(x98571,x98571,x98574),f822(f822(f298(x98571),x98572),f182(f892(x98571,a882))))),f822(f274(x98571,x98571,x98574),f822(f822(f298(x98571),x98573),f182(f892(x98571,a882)))))))
% 218.59/218.72 [8677]~P128(x86772)+~E(f822(f822(f79(x86772),f822(f822(f80(x86772),x86774),x86775)),x86771),f822(f822(f79(x86772),f822(f822(f80(x86772),x86773),x86775)),x86776))+E(x86771,f822(f822(f79(x86772),f822(f822(f80(x86772),f822(f822(f3(x86772),x86773),x86774)),x86775)),x86776))
% 218.59/218.72 [8678]~P128(x86781)+~E(f822(f822(f79(x86781),f822(f822(f80(x86781),x86782),x86784)),x86785),f822(f822(f79(x86781),f822(f822(f80(x86781),x86783),x86784)),x86786))+E(f822(f822(f79(x86781),f822(f822(f80(x86781),f822(f822(f3(x86781),x86782),x86783)),x86784)),x86785),x86786)
% 218.59/218.72 [8840]~P128(x88401)+E(f822(f822(f79(x88401),f822(f822(f80(x88401),x88402),x88403)),x88404),f822(f822(f79(x88401),f822(f822(f80(x88401),x88405),x88403)),x88406))+~E(x88406,f822(f822(f79(x88401),f822(f822(f80(x88401),f822(f822(f3(x88401),x88402),x88405)),x88403)),x88404))
% 218.59/218.72 [8841]~P128(x88411)+E(f822(f822(f79(x88411),f822(f822(f80(x88411),x88412),x88413)),x88414),f822(f822(f79(x88411),f822(f822(f80(x88411),x88415),x88413)),x88416))+~E(f822(f822(f79(x88411),f822(f822(f80(x88411),f822(f822(f3(x88411),x88412),x88415)),x88413)),x88414),x88416)
% 218.59/218.72 [9157]~P144(f822(f822(x91574,x91575),x91576))+~P144(f822(f822(x91573,x91575),x91576))+P144(f822(f822(f822(f822(f97(f892(x91571,f892(x91572,a882))),x91573),x91574),x91575),x91576))
% 218.59/218.72 [9422]P144(f822(f822(x94221,x94222),x94223))+P144(f822(f822(x94224,x94222),x94223))+~P144(f822(f822(f822(f822(f96(f892(x94225,f892(x94226,a882))),x94224),x94221),x94222),x94223))
% 218.59/218.72 [9716]~P136(x97161)+~P144(f822(f822(f227(x97161),f822(f822(f79(x97161),f822(f822(f80(x97161),x97164),x97165)),x97162)),f822(f822(f79(x97161),f822(f822(f80(x97161),x97163),x97165)),x97166)))+P144(f822(f822(f227(x97161),x97162),f822(f822(f79(x97161),f822(f822(f80(x97161),f822(f822(f3(x97161),x97163),x97164)),x97165)),x97166)))
% 218.59/218.72 [9717]~P136(x97171)+~P144(f822(f822(f226(x97171),f822(f822(f79(x97171),f822(f822(f80(x97171),x97174),x97175)),x97172)),f822(f822(f79(x97171),f822(f822(f80(x97171),x97173),x97175)),x97176)))+P144(f822(f822(f226(x97171),x97172),f822(f822(f79(x97171),f822(f822(f80(x97171),f822(f822(f3(x97171),x97173),x97174)),x97175)),x97176)))
% 218.59/218.72 [9740]~P136(x97401)+P144(f822(f822(f227(x97401),f822(f822(f79(x97401),f822(f822(f80(x97401),x97402),x97403)),x97404)),f822(f822(f79(x97401),f822(f822(f80(x97401),x97405),x97403)),x97406)))+~P144(f822(f822(f227(x97401),x97404),f822(f822(f79(x97401),f822(f822(f80(x97401),f822(f822(f3(x97401),x97405),x97402)),x97403)),x97406)))
% 218.59/218.72 [9741]~P136(x97411)+P144(f822(f822(f226(x97411),f822(f822(f79(x97411),f822(f822(f80(x97411),x97412),x97413)),x97414)),f822(f822(f79(x97411),f822(f822(f80(x97411),x97415),x97413)),x97416)))+~P144(f822(f822(f226(x97411),x97414),f822(f822(f79(x97411),f822(f822(f80(x97411),f822(f822(f3(x97411),x97415),x97412)),x97413)),x97416)))
% 218.59/218.72 [9849]~P136(x98491)+~P144(f822(f822(f227(x98491),f822(f822(f79(x98491),f822(f822(f80(x98491),x98492),x98494)),x98495)),f822(f822(f79(x98491),f822(f822(f80(x98491),x98493),x98494)),x98496)))+P144(f822(f822(f227(x98491),f822(f822(f79(x98491),f822(f822(f80(x98491),f822(f822(f3(x98491),x98492),x98493)),x98494)),x98495)),x98496))
% 218.59/218.72 [9850]~P136(x98501)+~P144(f822(f822(f226(x98501),f822(f822(f79(x98501),f822(f822(f80(x98501),x98502),x98504)),x98505)),f822(f822(f79(x98501),f822(f822(f80(x98501),x98503),x98504)),x98506)))+P144(f822(f822(f226(x98501),f822(f822(f79(x98501),f822(f822(f80(x98501),f822(f822(f3(x98501),x98502),x98503)),x98504)),x98505)),x98506))
% 218.59/218.72 [9894]~P136(x98941)+P144(f822(f822(f227(x98941),f822(f822(f79(x98941),f822(f822(f80(x98941),x98942),x98943)),x98944)),f822(f822(f79(x98941),f822(f822(f80(x98941),x98945),x98943)),x98946)))+~P144(f822(f822(f227(x98941),f822(f822(f79(x98941),f822(f822(f80(x98941),f822(f822(f3(x98941),x98942),x98945)),x98943)),x98944)),x98946))
% 218.59/218.72 [9895]~P136(x98951)+P144(f822(f822(f226(x98951),f822(f822(f79(x98951),f822(f822(f80(x98951),x98952),x98953)),x98954)),f822(f822(f79(x98951),f822(f822(f80(x98951),x98955),x98953)),x98956)))+~P144(f822(f822(f226(x98951),f822(f822(f79(x98951),f822(f822(f80(x98951),f822(f822(f3(x98951),x98952),x98955)),x98953)),x98954)),x98956))
% 218.59/218.72 [10067]~P72(x100672)+~P144(f822(f60(x100671),x100676))+E(f822(f822(f8(x100671,x100672),f822(f822(f20(x100671,x100672,x100672),f822(f822(f20(x100671,x100672,f892(x100672,x100672)),f822(f822(f10(a882,f892(x100672,f892(x100672,x100672)),x100671),f90(x100672)),x100673)),x100674)),x100675)),x100676),f822(f822(f79(x100672),f822(f822(f8(x100671,x100672),x100674),f822(f822(f97(f892(x100671,a882)),x100676),f822(f253(x100671),x100673)))),f822(f822(f8(x100671,x100672),x100675),f822(f822(f97(f892(x100671,a882)),x100676),f822(f78(f892(x100671,a882)),f822(f253(x100671),x100673))))))
% 218.59/218.72 [10128]P144(f822(f822(f318(x101282),x101284),x101286))+P144(f822(f822(f318(x101282),x101285),x101286))+E(f822(f300(x101281,x101282,f822(f822(f9(x101281,x101282,x101282),f822(f822(f9(x101281,x101282,f892(x101282,x101282)),f822(f822(f10(a882,f892(x101282,f892(x101282,x101282)),x101281),f90(x101282)),f822(f822(f9(x101281,f892(x101281,a882),a882),f318(x101281)),x101283))),x101284)),x101285)),x101286),f182(f892(x101281,a882)))
% 218.59/218.72 [10129]P144(f822(f822(f318(x101292),x101295),x101296))+~P144(f822(f822(f318(x101292),x101294),x101296))+E(f822(f300(x101291,x101292,f822(f822(f9(x101291,x101292,x101292),f822(f822(f9(x101291,x101292,f892(x101292,x101292)),f822(f822(f10(a882,f892(x101292,f892(x101292,x101292)),x101291),f90(x101292)),f822(f822(f9(x101291,f892(x101291,a882),a882),f318(x101291)),x101293))),x101294)),x101295)),x101296),x101293)
% 218.59/218.72 [10130]P144(f822(f822(f318(x101302),x101304),x101306))+~P144(f822(f822(f318(x101302),x101305),x101306))+E(f822(f300(x101301,x101302,f822(f822(f9(x101301,x101302,x101302),f822(f822(f9(x101301,x101302,f892(x101302,x101302)),f822(f822(f10(a882,f892(x101302,f892(x101302,x101302)),x101301),f90(x101302)),f822(f822(f9(x101301,f892(x101301,a882),a882),f318(x101301)),x101303))),x101304)),x101305)),x101306),f822(f78(f892(x101301,a882)),x101303))
% 218.59/218.72 [10131]~P144(f822(f822(f318(x101312),x101314),x101316))+~P144(f822(f822(f318(x101312),x101315),x101316))+E(f822(f300(x101311,x101312,f822(f822(f9(x101311,x101312,x101312),f822(f822(f9(x101311,x101312,f892(x101312,x101312)),f822(f822(f10(a882,f892(x101312,f892(x101312,x101312)),x101311),f90(x101312)),f822(f822(f9(x101311,f892(x101311,a882),a882),f318(x101311)),x101313))),x101314)),x101315)),x101316),f233(f892(x101311,a882)))
% 218.59/218.72 [8707]E(x87071,x87072)+~P58(x87074,x87075,x87073,x87076,x87077)+~E(f822(x87073,x87071),f822(x87073,x87072))
% 218.59/218.72 [8734]~P12(x87346,x87345,x87347,x87344,x87341)+E(f822(f822(x87341,x87342),x87343),x87344)+P144(f822(f60(x87345),x87343))
% 218.59/218.72 [9583]P42(x95831,x95832,x95833,x95834,x95835,f822(f822(x95833,x95836),x95837))+~E(f822(f822(x95833,x95836),x95837),x95834)+~E(x95835,f182(f892(x95831,a882)))
% 218.59/218.72 [9762]~P144(f822(x97626,x97623))+~P144(f822(f822(f318(f891(x97622,x97622)),f822(f822(f243(x97622,x97622),x97624),x97625)),f822(x97627,x97623)))+P144(f822(f822(f318(f891(f891(x97621,x97622),f891(x97621,x97622))),f822(f822(f243(f891(x97621,x97622),f891(x97621,x97622)),f822(f822(f243(x97621,x97622),x97623),x97624)),f822(f822(f243(x97621,x97622),x97623),x97625))),f269(x97621,x97622,x97626,x97627)))
% 218.59/218.72 [10186]~P42(x101862,x101867,x101863,x101866,x101861,f822(f822(x101863,x101865),x101864))+E(f822(f822(x101863,f415(x101864,x101865,x101861,x101866,x101863,x101867,x101862)),f416(x101864,x101865,x101861,x101866,x101863,x101867,x101862)),f822(f822(x101863,x101865),x101864))+E(x101861,f182(f892(x101862,a882)))
% 218.59/218.72 [10187]~P42(x101877,x101876,x101871,x101874,x101875,f822(f822(x101871,x101872),x101873))+E(f822(f822(x101871,f415(x101873,x101872,x101875,x101874,x101871,x101876,x101877)),f416(x101873,x101872,x101875,x101874,x101871,x101876,x101877)),f822(f822(x101871,x101872),x101873))+E(f822(f822(x101871,x101872),x101873),x101874)
% 218.59/218.72 [9264]~P33(x92641,x92642,x92643,x92645,x92647)+P33(x92641,x92642,x92643,f822(f822(f143(x92641),x92644),x92645),f822(f822(f143(x92642),x92646),x92647))+~P144(f822(f822(x92643,x92644),x92646))
% 218.59/218.72 [9281]P33(x92811,x92812,x92813,x92814,x92815)+~P33(x92811,x92812,x92813,f822(f822(f126(x92811),x92816),x92814),f822(f822(f126(x92812),x92817),x92815))+~E(f822(f183(f887(x92811)),x92816),f822(f183(f887(x92812)),x92817))
% 218.59/218.72 [9282]P33(x92821,x92822,x92823,x92824,x92825)+~P33(x92821,x92822,x92823,f822(f822(f126(x92821),x92824),x92826),f822(f822(f126(x92822),x92825),x92827))+~E(f822(f183(f887(x92821)),x92824),f822(f183(f887(x92822)),x92825))
% 218.59/218.72 [9487]~P33(x94871,x94872,x94873,x94875,x94877)+~P33(x94871,x94872,x94873,x94874,x94876)+P33(x94871,x94872,x94873,f822(f822(f126(x94871),x94874),x94875),f822(f822(f126(x94872),x94876),x94877))
% 218.59/218.72 [9839]~P144(f822(f65(x98391,x98394,x98395,x98396,x98393),x98397))+P144(f822(f65(x98391,x98394,x98395,x98396,f822(f822(f298(x98391),x98392),x98393)),f822(f822(x98395,x98392),x98397)))+P144(f822(f822(f318(x98391),x98392),x98393))
% 218.59/218.72 [10215]~P42(x102152,x102157,x102156,x102155,x102151,f822(f822(x102156,x102154),x102153))+E(x102151,f182(f892(x102152,a882)))+P144(f822(f822(f318(x102152),f415(x102153,x102154,x102151,x102155,x102156,x102157,x102152)),x102151))
% 218.59/218.72 [10216]~P42(x102165,x102167,x102161,x102164,x102166,f822(f822(x102161,x102162),x102163))+E(f822(f822(x102161,x102162),x102163),x102164)+P144(f822(f822(f318(x102165),f415(x102163,x102162,x102166,x102164,x102161,x102167,x102165)),x102166))
% 218.59/218.72 [8956]~P23(x89564,x89565,x89566,x89567,x89561)+~P144(f822(f60(x89565),x89563))+E(f822(f822(x89561,x89562),x89563),f822(f822(f822(f64(x89564,x89565,x89566),x89562),x89567),x89563))
% 218.59/218.72 [8957]~P12(x89574,x89575,x89576,x89577,x89571)+~P144(f822(f60(x89575),x89573))+E(f822(f822(x89571,x89572),x89573),f822(f822(f822(f64(x89574,x89575,x89576),x89572),x89577),x89573))
% 218.59/218.72 [9735]~P25(x97353,x97354,x97355,x97357,x97356,x97351)+~P144(f822(f60(x97354),x97352))+E(f822(x97351,x97352),f822(f822(f822(f64(x97353,x97354,x97355),x97356),x97357),x97352))
% 218.59/218.72 [9889]P42(x98891,x98892,x98893,x98894,x98895,f822(f822(x98893,x98896),x98897))+~P42(x98891,x98892,x98893,x98894,f822(f822(f3(f892(x98891,a882)),x98895),f822(f822(f298(x98891),x98896),f182(f892(x98891,a882)))),x98897)+~P144(f822(f822(f318(x98891),x98896),x98895))
% 218.59/218.72 [10237]P144(f822(f822(x102377,f857(x102374,x102375,x102371,x102376,x102373,x102372,x102377)),f858(x102374,x102375,x102371,x102376,x102373,x102372,x102377)))+~P144(f822(f822(x102377,f822(f247(x102372,x102373),x102376)),f822(f242(x102372,x102373),x102376)))+P144(f822(x102371,f822(f822(f248(x102372,x102373,x102374),x102375),x102376)))
% 218.59/218.72 [10247]~P42(x102472,x102473,x102474,x102475,x102471,f822(f822(x102474,x102477),x102476))+P42(x102472,x102473,x102474,x102475,f822(f822(f3(f892(x102472,a882)),x102471),f822(f822(f298(x102472),f415(x102476,x102477,x102471,x102475,x102474,x102473,x102472)),f182(f892(x102472,a882)))),f416(x102476,x102477,x102471,x102475,x102474,x102473,x102472))+E(x102471,f182(f892(x102472,a882)))
% 218.59/218.72 [10248]~P42(x102485,x102486,x102481,x102484,x102487,f822(f822(x102481,x102482),x102483))+P42(x102485,x102486,x102481,x102484,f822(f822(f3(f892(x102485,a882)),x102487),f822(f822(f298(x102485),f415(x102483,x102482,x102487,x102484,x102481,x102486,x102485)),f182(f892(x102485,a882)))),f416(x102483,x102482,x102487,x102484,x102481,x102486,x102485))+E(f822(f822(x102481,x102482),x102483),x102484)
% 218.59/218.72 [10268]~P144(f822(x102681,f822(f822(x102685,f858(x102684,x102685,x102681,x102686,x102683,x102682,x102687)),f857(x102684,x102685,x102681,x102686,x102683,x102682,x102687))))+~P144(f822(f822(x102687,f822(f247(x102682,x102683),x102686)),f822(f242(x102682,x102683),x102686)))+P144(f822(x102681,f822(f822(f248(x102682,x102683,x102684),x102685),x102686)))
% 218.59/218.72 [9571]P144(f822(f822(f226(f892(f891(x95711,x95712),a882)),f822(f822(f278(x95711,x95713,x95712),x95714),x95715)),f822(f822(f278(x95711,x95713,x95712),x95716),x95717)))+~P144(f822(f822(f226(f892(f891(x95713,x95712),a882)),x95715),x95717))+~P144(f822(f822(f226(f892(f891(x95711,x95713),a882)),x95714),x95716))
% 218.59/218.72 [9900]~P144(f822(f822(f318(x99001),x99006),x99005))+P144(f822(f65(x99001,x99002,x99003,x99004,x99005),f822(f822(x99003,x99006),x99007)))+~P144(f822(f65(x99001,x99002,x99003,x99004,f822(f822(f3(f892(x99001,a882)),x99005),f822(f822(f298(x99001),x99006),f182(f892(x99001,a882))))),x99007))
% 218.59/218.72 [10301]~P143(x103011)+~P26(f891(x103012,x103013),x103011,f822(f248(x103012,x103013,x103011),f822(f822(f9(x103012,f892(x103013,x103011),f892(x103013,x103011)),f822(f822(f10(f892(x103011,x103011),f892(f892(x103013,x103011),f892(x103013,x103011)),x103012),f10(x103011,x103011,x103013)),f822(f822(f10(x103011,f892(x103011,x103011),x103012),f80(x103011)),x103014))),x103015)),f822(f822(f245(x103012,x103013),x103016),f822(f18(f892(x103013,a882),x103012),x103017)))+E(f822(f822(f8(x103011,x103011),f31(x103011)),f822(f253(x103011),f822(f822(f10(f892(x103012,a882),a882,x103011),f86(x103012)),f822(f822(f10(f892(x103012,f892(x103013,a882)),f892(x103012,a882),x103011),f822(f10(f892(x103013,a882),a882,x103012),f86(x103013))),f822(f822(f9(x103011,f892(x103012,f892(x103013,a882)),f892(x103012,f892(x103013,a882))),f822(f822(f10(f892(x103012,f892(f892(x103013,a882),f892(x103013,a882))),f892(f892(x103012,f892(x103013,a882)),f892(x103012,f892(x103013,a882))),x103011),f20(x103012,f892(x103013,a882),f892(x103013,a882))),f822(f822(f10(f892(x103012,f892(x103013,f892(a882,a882))),f892(x103012,f892(f892(x103013,a882),f892(x103013,a882))),x103011),f822(f10(f892(x103013,f892(a882,a882)),f892(f892(x103013,a882),f892(x103013,a882)),x103012),f20(x103013,a882,a882))),f822(f822(f10(f892(x103012,f892(x103013,a882)),f892(x103012,f892(x103013,f892(a882,a882))),x103011),f822(f10(f892(x103013,a882),f892(x103013,f892(a882,a882)),x103012),f822(f10(a882,f892(a882,a882),x103013),a315))),f822(f822(f9(x103011,f892(x103012,f892(x103013,x103011)),f892(x103012,f892(x103013,a882))),f822(f822(f10(f892(f892(x103013,x103011),f892(x103013,a882)),f892(f892(x103012,f892(x103013,x103011)),f892(x103012,f892(x103013,a882))),x103011),f10(f892(x103013,x103011),f892(x103013,a882),x103012)),f822(f822(f10(f892(x103011,a882),f892(f892(x103013,x103011),f892(x103013,a882)),x103011),f10(x103011,a882,x103013)),a314))),f822(f822(f9(x103012,f892(x103013,x103011),f892(x103013,x103011)),f822(f822(f10(f892(x103011,x103011),f892(f892(x103013,x103011),f892(x103013,x103011)),x103012),f10(x103011,x103011,x103013)),f822(f822(f10(x103011,f892(x103011,x103011),x103012),f80(x103011)),x103014))),x103015)))))),f822(f822(f9(x103012,f892(x103013,a882),f892(x103013,a882)),f822(f822(f10(f892(a882,a882),f892(f892(x103013,a882),f892(x103013,a882)),x103012),f10(a882,a882,x103013)),f822(f822(f10(a882,f892(a882,a882),x103012),a315),f822(f822(f9(x103012,f892(x103012,a882),a882),f318(x103012)),x103016)))),f822(f822(f9(x103013,f892(x103013,a882),a882),f318(x103013)),x103017))))))),f822(f822(f80(x103011),f822(f822(f8(x103012,x103011),x103014),x103016)),f822(f822(f8(x103013,x103011),x103015),x103017)))
% 218.59/218.72 [9733]~P144(f822(f822(x97334,x97336),x97338))+~P144(f822(f822(x97335,x97338),x97337))+P144(f822(f822(f244(x97331,x97332,x97333,x97334,x97335),x97336),x97337))
% 218.59/218.72 [9332]~P21(x93328,x93321,x93323,x93325)+~P144(f822(f60(x93328),x93326))+E(f822(f72(x93321,x93321,x93322,f822(x93323,x93324)),f822(f72(x93321,x93321,x93322,f822(x93325,x93326)),x93327)),f822(f72(x93321,x93321,x93322,f822(x93325,x93326)),f822(f72(x93321,x93321,x93322,f822(x93323,x93324)),x93327)))
% 218.59/218.72 [9723]~P24(x97237,x97232,x97235,x97238,x97236,x97231)+~P144(f822(f60(x97232),x97234))+E(f822(x97231,f822(f822(f298(x97232),x97233),x97234)),f822(f822(x97235,f822(x97236,x97233)),f822(x97231,x97234)))
% 218.59/218.72 [9847]~P26(x98472,x98474,x98476,x98478)+~P26(x98471,x98473,x98475,x98477)+P26(f891(x98471,x98472),f891(x98473,x98474),f249(x98471,x98473,x98472,x98474,x98475,x98476),f822(f822(f245(x98471,x98472),x98477),f822(f18(f892(x98472,a882),x98471),x98478)))
% 218.59/218.72 [9513]P144(f822(f822(f318(f891(x95131,x95132)),f822(f822(f243(x95131,x95132),x95133),x95134)),f822(f822(f278(x95131,x95135,x95132),x95136),x95137)))+~P144(f822(f822(f318(f891(x95131,x95135)),f822(f822(f243(x95131,x95135),x95133),x95138)),x95136))+~P144(f822(f822(f318(f891(x95135,x95132)),f822(f822(f243(x95135,x95132),x95138),x95134)),x95137))
% 218.59/218.72 [9704]~P144(f822(f822(f226(f892(f891(x97043,x97042),a882)),x97045),f822(f822(f245(x97043,x97042),x97048),f822(f18(f892(x97042,a882),x97043),x97047))))+~P144(f822(f822(f226(f892(f891(x97041,x97043),a882)),x97044),f822(f822(f245(x97041,x97043),x97046),f822(f18(f892(x97043,a882),x97041),x97048))))+P144(f822(f822(f226(f892(f891(x97041,x97042),a882)),f822(f822(f278(x97041,x97043,x97042),x97044),x97045)),f822(f822(f245(x97041,x97042),x97046),f822(f18(f892(x97042,a882),x97041),x97047))))
% 218.59/218.72 [9757]~E(x97573,x97575)+P144(f822(f822(f318(f891(f891(x97571,x97572),f891(x97571,x97572))),f822(f822(f243(f891(x97571,x97572),f891(x97571,x97572)),f822(f822(f243(x97571,x97572),x97573),x97574)),f822(f822(f243(x97571,x97572),x97575),x97576))),f308(x97571,x97572,x97577,x97578)))+~P144(f822(f822(f318(f891(x97572,x97572)),f822(f822(f243(x97572,x97572),x97574),x97576)),x97578))
% 218.59/218.72 [9866]E(x98661,x98662)+~P144(f822(f822(f318(f891(f891(x98663,x98665),f891(x98663,x98665))),f822(f822(f243(f891(x98663,x98665),f891(x98663,x98665)),f822(f822(f243(x98663,x98665),x98661),x98666)),f822(f822(f243(x98663,x98665),x98662),x98667))),f308(x98663,x98665,x98664,x98668)))+P144(f822(f822(f318(f891(x98663,x98663)),f822(f822(f243(x98663,x98663),x98661),x98662)),x98664))
% 218.59/218.72 [9881]~P144(f822(f822(f318(f891(f891(x98811,x98815),f891(x98811,x98815))),f822(f822(f243(f891(x98811,x98815),f891(x98811,x98815)),f822(f822(f243(x98811,x98815),x98812),x98816)),f822(f822(f243(x98811,x98815),x98813),x98817))),f308(x98811,x98815,x98814,x98818)))+P144(f822(f822(f318(f891(x98811,x98811)),f822(f822(f243(x98811,x98811),x98812),x98813)),x98814))+P144(f822(f822(f318(f891(x98815,x98815)),f822(f822(f243(x98815,x98815),x98816),x98817)),x98818))
% 218.59/218.72 [9788]~P25(x97887,x97885,x97881,x97888,x97882,x97884)+~P144(f822(f60(x97885),x97886))+E(f822(f822(x97881,f822(x97882,x97883)),f822(x97884,f822(f822(f3(f892(x97885,a882)),x97886),f822(f822(f298(x97885),x97883),f182(f892(x97885,a882)))))),f822(x97884,f822(f822(f298(x97885),x97883),x97886)))
% 218.59/218.72 [9288]~P144(f822(f822(f822(x92885,x92888),x92886),x92887))+~P144(f822(f822(f318(x92881),x92888),x92884))+P144(f822(f822(f822(f822(f38(x92881,f892(x92882,f892(x92883,a882))),x92884),x92885),x92886),x92887))
% 218.59/218.72 [9498]P144(f822(f822(f822(x94981,x94982),x94983),x94984))+~P144(f822(f822(f318(x94985),x94982),x94986))+~P144(f822(f822(f822(f822(f39(x94985,f892(x94987,f892(x94988,a882))),x94986),x94981),x94983),x94984))
% 218.59/218.72 [9695]~P23(x96953,x96952,x96954,x96958,x96951)+~P144(f822(f60(x96952),x96957))+E(f822(f822(x96951,f822(f822(f20(x96952,x96953,x96953),f822(f822(f10(x96953,f892(x96953,x96953),x96952),x96954),x96955)),x96956)),x96957),f822(f822(x96954,f822(f822(x96951,x96955),x96957)),f822(f822(x96951,x96956),x96957)))
% 218.59/218.72 [9962]~E(f822(f299(x99622,x99624,x99626),x99628),x996210)+~E(f822(f299(x99621,x99623,x99625),x99627),x99629)+E(f822(f299(f891(x99621,x99622),f891(x99623,x99624),f249(x99621,x99623,x99622,x99624,x99625,x99626)),f822(f822(f245(x99621,x99622),x99627),f822(f18(f892(x99622,a882),x99621),x99628))),f822(f822(f245(x99623,x99624),x99629),f822(f18(f892(x99624,a882),x99623),x996210)))
% 218.59/218.72 [4859]~P43(x48591,x48592)+~P51(x48591,x48592)+~P52(x48591,x48592)+P9(x48591,x48592)
% 218.59/218.72 [4815]~P92(x48152)+~P15(x48152,x48151)+P15(x48152,f109(x48152,x48151))+E(x48151,f108(x48152))
% 218.59/218.72 [4816]~P92(x48162)+~P15(x48162,x48161)+P15(x48162,f722(x48161,x48162))+E(x48161,f108(x48162))
% 218.59/218.72 [5063]~P7(x50632)+E(f12(x50632,x50631),f37(x50632,x50631))+E(x50631,f182(f892(x50632,a882)))+~P144(f822(f60(x50632),x50631))
% 218.59/218.72 [5064]~P7(x50642)+E(f15(x50642,x50641),f36(x50642,x50641))+E(x50641,f182(f892(x50642,a882)))+~P144(f822(f60(x50642),x50641))
% 218.59/218.72 [5222]~P92(x52222)+~P15(x52222,x52221)+E(x52221,f108(x52222))+E(f822(f822(f143(x52222),f741(x52221,x52222)),f722(x52221,x52222)),x52221)
% 218.59/218.72 [6053]~P100(x60532)+E(x60531,f182(f892(x60532,a882)))+P144(f822(f822(f226(x60532),f12(x60532,x60531)),f15(x60532,x60531)))+~P144(f822(f60(x60532),x60531))
% 218.59/218.72 [6064]~P39(x60642)+~P39(x60641)+E(x60641,x60642)+~E(f822(f299(a1,a885,a100),x60641),f822(f299(a1,a885,a100),x60642))
% 218.59/218.72 [9136]~P111(x91361)+~P144(f822(f822(f318(x91361),x91362),f105(x91361)))+P144(f822(f822(f227(x91361),f822(f822(f79(x91361),f822(f822(f79(x91361),f77(x91361)),x91362)),x91362)),f2(x91361)))+~P144(f822(f822(f227(x91361),x91362),f2(x91361)))
% 218.59/218.72 [9383]~P111(x93831)+~P144(f822(f822(f318(x93831),x93832),f105(x93831)))+~P144(f822(f822(f227(x93831),f822(f822(f79(x93831),f822(f822(f79(x93831),f77(x93831)),x93832)),x93832)),f2(x93831)))+P144(f822(f822(f227(x93831),x93832),f2(x93831)))
% 218.59/218.72 [4874]~P115(x48742)+~P143(x48742)+E(x48741,f2(a885))+E(f822(f822(f235(x48742),f2(x48742)),x48741),f2(x48742))
% 218.59/218.72 [4877]~P115(x48771)+~P143(x48771)+~E(x48772,f2(a885))+E(f822(f822(f235(x48771),f2(x48771)),x48772),f77(x48771))
% 218.59/218.72 [5049]~P141(x50492)+E(x50491,f77(x50492))+E(x50491,f822(f78(x50492),f77(x50492)))+~E(f822(f822(f80(x50492),x50491),x50491),f77(x50492))
% 218.59/218.72 [5306]~P87(x53062)+E(x53061,f2(x53062))+E(f81(x53062,x53061),f822(f78(x53062),f77(x53062)))+P144(f822(f822(f227(x53062),f2(x53062)),x53061))
% 218.59/218.72 [5548]~P87(x55482)+E(f81(x55482,x55481),f77(x55482))+E(x55481,f2(x55482))+~P144(f822(f822(f227(x55482),f2(x55482)),x55481))
% 218.59/218.72 [5557]E(x55571,x55572)+~E(f822(f99(a885),x55571),f822(f99(a885),x55572))+P144(f822(a187,f822(f99(a1),x55572)))+P144(f822(a187,f822(f99(a1),x55571)))
% 218.59/218.72 [5608]~P94(x56081)+~E(x56082,f2(x56081))+E(f822(f822(f79(x56081),x56082),x56082),f2(x56081))+~P144(f822(f822(f318(x56081),x56082),f105(x56081)))
% 218.59/218.72 [5648]E(x56481,f2(a1))+~E(f822(f822(f35(a1),x56482),x56481),f2(a1))+P144(f822(f822(f227(a1),x56481),x56482))+P144(f822(f822(f227(a1),x56482),x56481))
% 218.59/218.72 [5678]E(x56781,f2(a1))+~E(f822(f822(f35(a1),x56782),x56781),f2(a1))+P144(f822(f822(f226(a1),x56782),f2(a1)))+P144(f822(f822(f227(a1),x56782),x56781))
% 218.59/218.72 [5712]E(x57121,f2(a1))+~E(f822(f822(f35(a1),x57122),x57121),f2(a1))+P144(f822(f822(f226(a1),f2(a1)),x57122))+P144(f822(f822(f227(a1),x57121),x57122))
% 218.59/218.72 [5747]~P94(x57472)+E(x57471,f2(x57472))+~E(f822(f822(f79(x57472),x57471),x57471),f2(x57472))+~P144(f822(f822(f318(x57472),x57471),f105(x57472)))
% 218.59/218.72 [5818]E(f822(f99(a885),x58181),f822(f99(a885),x58182))+~E(f822(f99(a1),x58182),f2(a1))+P144(f822(a187,f822(f99(a1),x58182)))+~P144(f822(a187,f822(f99(a1),x58181)))
% 218.59/218.72 [5850]~E(f822(f99(a885),x58502),f822(f99(a885),x58501))+E(f822(f99(a1),x58501),f2(a1))+P144(f822(a187,f822(f99(a1),x58501)))+~P144(f822(a187,f822(f99(a1),x58502)))
% 218.59/218.72 [5859]~P92(x58592)+E(x58591,f182(f892(x58592,a882)))+~P144(f822(f60(x58592),x58591))+P144(f822(f822(f318(x58592),f16(x58592,x58591)),x58591))
% 218.59/218.72 [5860]~P92(x58602)+E(x58601,f182(f892(x58602,a882)))+~P144(f822(f60(x58602),x58601))+P144(f822(f822(f318(x58602),f17(x58602,x58601)),x58601))
% 218.59/218.72 [6030]~P111(x60301)+~P96(x60301)+P144(f822(f822(f227(x60301),f2(x60301)),f822(f99(x60301),x60302)))+~P144(f822(f822(f227(a1),a82),x60302))
% 218.59/218.72 [6031]~P111(x60311)+~P96(x60311)+P144(f822(f822(f226(x60311),f2(x60311)),f822(f99(x60311),x60312)))+~P144(f822(f822(f226(a1),a82),x60312))
% 218.59/218.72 [6052]~P111(x60521)+~P96(x60521)+E(f822(f75(x60521),f822(f99(x60521),x60522)),f822(f99(x60521),x60522))+P144(f822(f822(f227(x60521),f822(f99(x60521),x60522)),f2(x60521)))
% 218.59/218.72 [6090]E(x60901,x60902)+~E(f822(a100,x60901),f822(a100,x60902))+~P144(f822(f822(f226(a1),f2(a1)),x60902))+~P144(f822(f822(f226(a1),f2(a1)),x60901))
% 218.59/218.72 [6293]~P96(x62932)+~P111(x62932)+~P144(f822(f822(f227(x62932),f2(x62932)),f822(f99(x62932),x62931)))+P144(f822(f822(f227(a1),a82),x62931))
% 218.59/218.72 [6294]~P96(x62942)+~P111(x62942)+~P144(f822(f822(f226(x62942),f2(x62942)),f822(f99(x62942),x62941)))+P144(f822(f822(f226(a1),a82),x62941))
% 218.59/218.72 [6299]~P111(x62991)+~P96(x62991)+P144(f822(f822(f227(x62991),f822(f99(x62991),x62992)),f2(x62991)))+~P144(f822(f822(f227(a1),x62992),a82))
% 218.59/218.72 [6300]~P111(x63001)+~P96(x63001)+P144(f822(f822(f226(x63001),f822(f99(x63001),x63002)),f2(x63001)))+~P144(f822(f822(f226(a1),x63002),a82))
% 218.59/218.72 [6636]~P96(x66362)+~P111(x66362)+~P144(f822(f822(f227(x66362),f822(f99(x66362),x66361)),f2(x66362)))+P144(f822(f822(f227(a1),x66361),a82))
% 218.59/218.72 [6637]~P96(x66372)+~P111(x66372)+~P144(f822(f822(f226(x66372),f822(f99(x66372),x66371)),f2(x66372)))+P144(f822(f822(f226(a1),x66371),a82))
% 218.59/218.72 [6734]~P111(x67341)+~P96(x67341)+E(f822(f75(x67341),f822(f99(x67341),x67342)),f822(f78(x67341),f822(f99(x67341),x67342)))+~P144(f822(f822(f227(x67341),f822(f99(x67341),x67342)),f2(x67341)))
% 218.59/218.72 [6752]E(f822(f99(a885),x67521),f822(f99(a885),x67522))+~E(f822(f99(a1),x67522),f2(a1))+~P144(f822(f822(f226(a1),f822(f99(a1),x67521)),f2(a1)))+~P144(f822(a187,f822(f99(a1),x67521)))
% 218.59/218.72 [7164]P144(f822(f822(f276(a885),f822(a100,x71641)),f822(a100,x71642)))+~P144(f822(f822(f226(a1),f2(a1)),x71642))+~P144(f822(f822(f226(a1),f2(a1)),x71641))+~P144(f822(f822(f276(a1),x71641),x71642))
% 218.59/218.72 [7413]~P144(f822(f822(f276(a885),f822(a100,x74131)),f822(a100,x74132)))+~P144(f822(f822(f226(a1),f2(a1)),x74132))+~P144(f822(f822(f226(a1),f2(a1)),x74131))+P144(f822(f822(f276(a1),x74131),x74132))
% 218.59/218.72 [7669]~P92(x76692)+E(x76691,f182(f892(x76692,a882)))+~P144(f822(f60(x76692),x76691))+P144(f822(f822(f226(x76692),f14(x76692,f230(x76692),x76691)),f13(x76692,f181(x76692),x76691)))
% 218.59/218.72 [7995]~P8(x79951)+~P39(x79952)+P144(f822(f822(f318(a1),x79951),x79952))+~P144(f822(f822(f318(a885),f822(a100,x79951)),f822(f299(a1,a885,a100),x79952)))
% 218.59/218.72 [5856]~P127(x58562)+E(x58561,f2(a1))+E(f822(f78(x58562),f822(f98(x58562),f822(f78(a1),x58561))),f822(f98(x58562),x58561))+~P144(f822(f822(f227(a1),x58561),f2(a1)))
% 218.59/218.72 [5931]~P94(x59311)+~P96(x59311)+~P28(x59311,f822(f99(x59311),x59312))+P28(x59311,f822(f99(x59311),f822(f822(f79(a1),x59312),x59312)))
% 218.59/218.72 [6282]~P74(x62822)+E(x62821,f182(f892(x62822,a882)))+E(f17(x62822,f822(f299(x62822,x62822,f78(x62822)),x62821)),f822(f78(x62822),f16(x62822,x62821)))+~P144(f822(f60(x62822),x62821))
% 218.59/218.72 [6283]~P74(x62832)+E(x62831,f182(f892(x62832,a882)))+E(f16(x62832,f822(f299(x62832,x62832,f78(x62832)),x62831)),f822(f78(x62832),f17(x62832,x62831)))+~P144(f822(f60(x62832),x62831))
% 218.59/218.72 [6316]~P94(x63161)+~P96(x63161)+P28(x63161,f822(f99(x63161),x63162))+~P28(x63161,f822(f99(x63161),f822(f822(f79(a1),x63162),x63162)))
% 218.59/218.72 [6416]E(x64161,f2(a1))+E(f822(a50,f49(f822(f78(a1),x64161),f822(f78(a1),x64162))),f45(x64161,x64162))+P144(f822(f822(f226(a1),f2(a1)),x64162))+~P144(f822(f822(f226(a1),f2(a1)),x64161))
% 218.59/218.72 [8755]~P39(x87552)+~P39(x87551)+P144(f822(f822(f227(f892(a885,a882)),f822(f299(a1,a885,a100),x87551)),f822(f299(a1,a885,a100),x87552)))+~P144(f822(f822(f227(f892(a1,a882)),x87551),x87552))
% 218.59/218.72 [8973]~E(f744(x89732,x89731),f745(x89732,x89731))+~P144(f822(f129(x89731),f746(x89732,x89731)))+~P144(f822(f129(f887(x89731)),x89732))+P144(f822(f129(x89731),f822(f134(f887(x89731),f887(x89731),f126(x89731),f108(x89731)),x89732)))
% 218.59/218.72 [9056]~P39(x90562)+~P39(x90561)+~P144(f822(f822(f227(f892(a885,a882)),f822(f299(a1,a885,a100),x90561)),f822(f299(a1,a885,a100),x90562)))+P144(f822(f822(f227(f892(a1,a882)),x90561),x90562))
% 218.59/218.72 [9057]~P39(x90572)+~P39(x90571)+~P144(f822(f822(f226(f892(a885,a882)),f822(f299(a1,a885,a100),x90571)),f822(f299(a1,a885,a100),x90572)))+P144(f822(f822(f226(f892(a1,a882)),x90571),x90572))
% 218.59/218.72 [9064]~E(f744(x90642,x90641),f745(x90642,x90641))+~P144(f822(f129(f887(x90641)),x90642))+P144(f822(f129(x90641),f822(f134(f887(x90641),f887(x90641),f126(x90641),f108(x90641)),x90642)))+P144(f822(f822(f318(f887(x90641)),f746(x90642,x90641)),f822(f164(f887(x90641)),x90642)))
% 218.59/218.72 [9105]~P144(f822(f129(x91051),f746(x91052,x91051)))+~P144(f822(f129(f887(x91051)),x91052))+P144(f822(f129(x91051),f822(f134(f887(x91051),f887(x91051),f126(x91051),f108(x91051)),x91052)))+P144(f822(f822(f318(f887(x91051)),f745(x91052,x91051)),f822(f164(f887(x91051)),x91052)))
% 218.59/218.72 [9106]~P144(f822(f129(x91061),f746(x91062,x91061)))+~P144(f822(f129(f887(x91061)),x91062))+P144(f822(f129(x91061),f822(f134(f887(x91061),f887(x91061),f126(x91061),f108(x91061)),x91062)))+P144(f822(f822(f318(f887(x91061)),f744(x91062,x91061)),f822(f164(f887(x91061)),x91062)))
% 218.59/218.72 [9191]~P144(f822(f129(f887(x91911)),x91912))+P144(f822(f129(x91911),f822(f134(f887(x91911),f887(x91911),f126(x91911),f108(x91911)),x91912)))+P144(f822(f822(f318(f887(x91911)),f745(x91912,x91911)),f822(f164(f887(x91911)),x91912)))+P144(f822(f822(f318(f887(x91911)),f746(x91912,x91911)),f822(f164(f887(x91911)),x91912)))
% 218.59/218.72 [9192]~P144(f822(f129(f887(x91921)),x91922))+P144(f822(f129(x91921),f822(f134(f887(x91921),f887(x91921),f126(x91921),f108(x91921)),x91922)))+P144(f822(f822(f318(f887(x91921)),f744(x91922,x91921)),f822(f164(f887(x91921)),x91922)))+P144(f822(f822(f318(f887(x91921)),f746(x91922,x91921)),f822(f164(f887(x91921)),x91922)))
% 218.59/218.72 [9208]~E(f822(f822(f97(f892(x92081,a882)),f822(f164(x92081),f745(x92082,x92081))),f822(f164(x92081),f744(x92082,x92081))),f182(f892(x92081,a882)))+~P144(f822(f129(x92081),f746(x92082,x92081)))+~P144(f822(f129(f887(x92081)),x92082))+P144(f822(f129(x92081),f822(f134(f887(x92081),f887(x92081),f126(x92081),f108(x92081)),x92082)))
% 218.59/218.72 [9269]~E(f822(f822(f97(f892(x92691,a882)),f822(f164(x92691),f745(x92692,x92691))),f822(f164(x92691),f744(x92692,x92691))),f182(f892(x92691,a882)))+~P144(f822(f129(f887(x92691)),x92692))+P144(f822(f129(x92691),f822(f134(f887(x92691),f887(x92691),f126(x92691),f108(x92691)),x92692)))+P144(f822(f822(f318(f887(x92691)),f746(x92692,x92691)),f822(f164(f887(x92691)),x92692)))
% 218.59/218.72 [9545]E(x95451,f2(a1))+E(x95452,f2(a1))+E(f822(f822(f85(a1,f891(a1,a1)),f822(f822(a211,x95452),x95451)),f822(f822(f20(a1,a1,f891(a1,a1)),f822(f822(f10(a1,f892(a1,f891(a1,a1)),a1),f243(a1,a1)),f822(f35(a1),x95452))),f822(f35(a1),x95451))),f209(x95452,x95451))+P144(f822(f822(f227(a1),x95451),f2(a1)))
% 218.59/218.72 [8321]~P96(x83212)+~P111(x83212)+~P144(f822(f822(f227(x83212),f822(f99(x83212),x83211)),f77(x83212)))+P144(f822(f822(f227(a1),x83211),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))
% 218.59/218.72 [8322]~P96(x83222)+~P111(x83222)+~P144(f822(f822(f226(x83222),f822(f99(x83222),x83221)),f77(x83222)))+P144(f822(f822(f226(a1),x83221),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))
% 218.59/218.72 [8586]~P111(x85861)+~P96(x85861)+P144(f822(f822(f227(x85861),f822(f99(x85861),x85862)),f77(x85861)))+~P144(f822(f822(f227(a1),x85862),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))
% 218.59/218.72 [8587]~P111(x85871)+~P96(x85871)+P144(f822(f822(f226(x85871),f822(f99(x85871),x85872)),f77(x85871)))+~P144(f822(f822(f226(a1),x85872),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))
% 218.59/218.72 [8781]~P96(x87812)+~P111(x87812)+~P144(f822(f822(f227(x87812),f77(x87812)),f822(f99(x87812),x87811)))+P144(f822(f822(f227(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),x87811))
% 218.59/218.72 [8782]~P96(x87822)+~P111(x87822)+~P144(f822(f822(f226(x87822),f77(x87822)),f822(f99(x87822),x87821)))+P144(f822(f822(f226(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),x87821))
% 218.59/218.72 [9142]~P111(x91421)+~P96(x91421)+P144(f822(f822(f227(x91421),f77(x91421)),f822(f99(x91421),x91422)))+~P144(f822(f822(f227(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),x91422))
% 218.59/218.72 [9143]~P111(x91431)+~P96(x91431)+P144(f822(f822(f226(x91431),f77(x91431)),f822(f99(x91431),x91432)))+~P144(f822(f822(f226(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),x91432))
% 218.59/218.72 [9667]~P141(x96672)+E(x96671,f77(x96672))+E(x96671,f822(f78(x96672),f77(x96672)))+~E(f822(f822(f235(x96672),x96671),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f77(x96672))
% 218.59/218.72 [9938]~P66(x99381)+~P96(x99381)+~P144(f822(f822(f227(x99381),f2(x99381)),x99382))+P144(f822(f822(f227(x99381),f2(x99381)),f822(f822(f280(x99381),x99382),f822(f99(x99381),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))))
% 218.59/218.72 [9990]~P66(x99901)+~P96(x99901)+P144(f822(f822(f227(x99901),f2(x99901)),x99902))+~P144(f822(f822(f227(x99901),f2(x99901)),f822(f822(f280(x99901),x99902),f822(f99(x99901),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))))
% 218.59/218.72 [10275]~P127(x102752)+E(x102751,f2(a1))+P144(f822(f822(f227(a1),x102751),f2(a1)))+E(f822(f822(f248(a1,a1,x102752),f822(f822(f9(a1,f892(a1,f892(x102752,x102752)),f892(a1,x102752)),f822(f822(f10(f892(f892(x102752,x102752),x102752),f892(f892(a1,f892(x102752,x102752)),f892(a1,x102752)),a1),f10(f892(x102752,x102752),x102752,a1)),f822(f822(f10(x102752,f892(f892(x102752,x102752),x102752),a1),f85(x102752,x102752)),f98(x102752)))),f822(f822(f9(a1,f892(x102752,x102752),f892(x102752,x102752)),f822(f822(f10(f892(x102752,f892(x102752,x102752)),f892(f892(x102752,x102752),f892(x102752,x102752)),a1),f20(x102752,x102752,x102752)),f822(f822(f9(a1,f892(x102752,x102752),f892(x102752,f892(x102752,x102752))),f822(f822(f10(f892(x102752,f892(x102752,x102752)),f892(f892(x102752,x102752),f892(x102752,f892(x102752,x102752))),a1),f10(x102752,f892(x102752,x102752),x102752)),f822(f822(f10(a882,f892(x102752,f892(x102752,x102752)),a1),f90(x102752)),f822(f822(f9(a1,a1,a882),a314),f2(a1))))),f822(f822(f20(x102752,x102752,x102752),f79(x102752)),f7(x102752))))),f822(f822(f9(x102752,x102752,x102752),f822(f822(f10(x102752,f892(x102752,x102752),x102752),f79(x102752)),f822(f822(f20(x102752,x102752,x102752),f79(x102752)),f7(x102752)))),f77(x102752))))),f45(x102751,f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f98(x102752),x102751))
% 218.59/218.72 [5315]~P37(x53151,x53153)+~P53(x53151,x53153)+~P54(x53151,x53152,x53153)+P10(x53151,x53152,x53153)
% 218.59/218.72 [4843]~P94(x48433)+~P96(x48433)+E(x48431,x48432)+~E(f822(f99(x48433),x48431),f822(f99(x48433),x48432))
% 218.59/218.72 [5326]~P51(x53261,x53262)+~P52(x53261,x53262)+P17(x53261,x53262)+~P144(f822(f822(x53262,x53263),x53263))
% 218.59/218.72 [5833]P17(x58332,x58331)+E(f822(x58331,f817(x58331)),f822(x58331,f818(x58331)))+P144(f822(f822(x58331,f817(x58331)),f818(x58331)))+~P144(f822(f822(x58331,x58333),x58333))
% 218.59/218.72 [6040]~P144(f822(x60401,x60402))+~P144(f822(x60401,x60403))+~P144(f822(f822(f226(a885),x60403),f590(x60402,x60401)))+P144(f822(x60401,f2(a885)))
% 218.59/218.72 [6109]P17(x61091,x61092)+P144(f822(f822(x61092,f817(x61092)),f817(x61092)))+P144(f822(f822(x61092,f817(x61092)),f818(x61092)))+~P144(f822(f822(x61092,x61093),x61093))
% 218.59/218.72 [6110]P17(x61101,x61102)+P144(f822(f822(x61102,f817(x61102)),f818(x61102)))+P144(f822(f822(x61102,f818(x61102)),f818(x61102)))+~P144(f822(f822(x61102,x61103),x61103))
% 218.59/218.72 [6485]P147(x64852,x64851,x64853)+E(x64851,f2(a1))+P144(f822(f822(f226(a1),f2(a1)),f828(x64853,x64851,x64852)))+P144(f822(f822(f227(a1),x64851),f2(a1)))
% 218.59/218.72 [6486]P148(x64862,x64861,x64863)+E(x64861,f2(a1))+P144(f822(f822(f226(a1),f2(a1)),f832(x64863,x64861,x64862)))+P144(f822(f822(f227(a1),x64861),f2(a1)))
% 218.59/218.72 [6616]P147(x66161,x66162,x66163)+~P144(f822(x66161,x66163))+P144(f822(f822(f226(a1),f2(a1)),f828(x66163,x66162,x66161)))+P144(f822(f822(f227(a1),x66162),f2(a1)))
% 218.59/218.72 [6642]P148(x66421,x66422,x66423)+P144(f822(f822(f226(a1),f2(a1)),f832(x66423,x66422,x66421)))+~P144(f822(x66421,f2(a1)))+P144(f822(f822(f227(a1),x66422),f2(a1)))
% 218.59/218.72 [6676]P147(x66762,x66761,x66763)+E(x66761,f2(a1))+~P144(f822(x66762,f828(x66763,x66761,x66762)))+P144(f822(f822(f227(a1),x66761),f2(a1)))
% 218.59/218.72 [6677]P148(x66772,x66771,x66773)+E(x66771,f2(a1))+~P144(f822(x66772,f833(x66773,x66771,x66772)))+P144(f822(f822(f227(a1),x66771),f2(a1)))
% 218.59/218.72 [6781]~P92(x67811)+~P7(x67811)+~P144(f822(f822(f227(x67811),x67812),f36(x67811,x67813)))+P144(f822(f822(f227(x67811),x67812),f612(x67813,x67812,x67811)))
% 218.59/218.72 [6791]P147(x67911,x67912,x67913)+~P144(f822(x67911,x67913))+~P144(f822(x67911,f828(x67913,x67912,x67911)))+P144(f822(f822(f227(a1),x67912),f2(a1)))
% 218.59/218.72 [6823]P148(x68231,x68232,x68233)+~P144(f822(x68231,f833(x68233,x68232,x68231)))+~P144(f822(x68231,f2(a1)))+P144(f822(f822(f227(a1),x68232),f2(a1)))
% 218.59/218.72 [7083]P147(x70832,x70831,x70833)+E(x70831,f2(a1))+P144(f822(f822(f226(a1),f2(a1)),f828(x70833,x70831,x70832)))+P144(f822(f822(f227(a1),x70831),f827(x70833,x70831,x70832)))
% 218.59/218.72 [7084]P148(x70842,x70841,x70843)+E(x70841,f2(a1))+P144(f822(f822(f226(a1),f2(a1)),f832(x70843,x70841,x70842)))+P144(f822(f822(f227(a1),x70841),f831(x70843,x70841,x70842)))
% 218.59/218.72 [7205]P147(x72051,x72052,x72053)+~P144(f822(x72051,x72053))+P144(f822(f822(f226(a1),f2(a1)),f828(x72053,x72052,x72051)))+P144(f822(f822(f227(a1),x72052),f827(x72053,x72052,x72051)))
% 218.59/218.72 [7227]P148(x72271,x72272,x72273)+P144(f822(f822(f226(a1),f2(a1)),f832(x72273,x72272,x72271)))+P144(f822(f822(f227(a1),x72272),f831(x72273,x72272,x72271)))+~P144(f822(x72271,f2(a1)))
% 218.59/218.72 [7258]P147(x72582,x72581,x72583)+E(x72581,f2(a1))+~P144(f822(x72582,f828(x72583,x72581,x72582)))+P144(f822(f822(f227(a1),x72581),f827(x72583,x72581,x72582)))
% 218.59/218.72 [7259]P148(x72592,x72591,x72593)+E(x72591,f2(a1))+~P144(f822(x72592,f833(x72593,x72591,x72592)))+P144(f822(f822(f227(a1),x72591),f831(x72593,x72591,x72592)))
% 218.59/218.72 [7303]P147(x73032,x73031,x73033)+E(x73031,f2(a1))+P144(f822(f822(f226(a1),f2(a1)),f828(x73033,x73031,x73032)))+~P144(f822(x73032,f827(x73033,x73031,x73032)))
% 218.59/218.72 [7304]P148(x73042,x73041,x73043)+E(x73041,f2(a1))+P144(f822(f822(f226(a1),f2(a1)),f832(x73043,x73041,x73042)))+~P144(f822(x73042,f835(x73043,x73041,x73042)))
% 218.59/218.72 [7410]P147(x74101,x74102,x74103)+~P144(f822(x74101,x74103))+~P144(f822(x74101,f828(x74103,x74102,x74101)))+P144(f822(f822(f227(a1),x74102),f827(x74103,x74102,x74101)))
% 218.59/218.72 [7426]P148(x74261,x74262,x74263)+~P144(f822(x74261,f833(x74263,x74262,x74261)))+P144(f822(f822(f227(a1),x74262),f831(x74263,x74262,x74261)))+~P144(f822(x74261,f2(a1)))
% 218.59/218.72 [7429]P147(x74291,x74292,x74293)+~P144(f822(x74291,x74293))+P144(f822(f822(f226(a1),f2(a1)),f828(x74293,x74292,x74291)))+~P144(f822(x74291,f827(x74293,x74292,x74291)))
% 218.59/218.72 [7447]P148(x74471,x74472,x74473)+P144(f822(f822(f226(a1),f2(a1)),f832(x74473,x74472,x74471)))+~P144(f822(x74471,f835(x74473,x74472,x74471)))+~P144(f822(x74471,f2(a1)))
% 218.59/218.72 [7470]P147(x74702,x74701,x74703)+E(x74701,f2(a1))+~P144(f822(x74702,f828(x74703,x74701,x74702)))+~P144(f822(x74702,f827(x74703,x74701,x74702)))
% 218.59/218.72 [7471]P148(x74712,x74711,x74713)+E(x74711,f2(a1))+~P144(f822(x74712,f833(x74713,x74711,x74712)))+~P144(f822(x74712,f835(x74713,x74711,x74712)))
% 218.59/218.72 [7563]P147(x75631,x75632,x75633)+~P144(f822(x75631,x75633))+~P144(f822(x75631,f828(x75633,x75632,x75631)))+~P144(f822(x75631,f827(x75633,x75632,x75631)))
% 218.59/218.72 [7581]P148(x75811,x75812,x75813)+~P144(f822(x75811,f833(x75813,x75812,x75811)))+~P144(f822(x75811,f835(x75813,x75812,x75811)))+~P144(f822(x75811,f2(a1)))
% 218.59/218.72 [7628]P147(x76282,x76281,x76283)+E(x76281,f2(a1))+P144(f822(f822(f226(a1),f2(a1)),f828(x76283,x76281,x76282)))+P144(f822(f822(f226(a1),f827(x76283,x76281,x76282)),f2(a1)))
% 218.59/218.72 [7629]P148(x76292,x76291,x76293)+E(x76291,f2(a1))+P144(f822(f822(f226(a1),f2(a1)),f832(x76293,x76291,x76292)))+P144(f822(f822(f226(a1),f831(x76293,x76291,x76292)),f2(a1)))
% 218.59/218.72 [7630]~P86(x76301)+~P144(f822(f822(f227(x76301),x76303),f2(x76301)))+~P144(f822(f822(f227(x76301),x76302),f2(x76301)))+P144(f822(f822(f227(x76301),f822(f822(f79(x76301),x76302),x76303)),f2(x76301)))
% 218.59/218.72 [7631]~P86(x76311)+~P144(f822(f822(f226(x76311),x76312),f2(x76311)))+~P144(f822(f822(f227(x76311),x76313),f2(x76311)))+P144(f822(f822(f227(x76311),f822(f822(f79(x76311),x76312),x76313)),f2(x76311)))
% 218.59/218.72 [7632]~P86(x76321)+~P144(f822(f822(f226(x76321),x76323),f2(x76321)))+~P144(f822(f822(f227(x76321),x76322),f2(x76321)))+P144(f822(f822(f227(x76321),f822(f822(f79(x76321),x76322),x76323)),f2(x76321)))
% 218.59/218.72 [7633]~P86(x76331)+~P144(f822(f822(f226(x76331),x76333),f2(x76331)))+~P144(f822(f822(f226(x76331),x76332),f2(x76331)))+P144(f822(f822(f226(x76331),f822(f822(f79(x76331),x76332),x76333)),f2(x76331)))
% 218.59/218.72 [7634]~P1(x76341)+~P144(f822(f822(f318(x76341),x76343),f178(x76341)))+~P144(f822(f822(f318(x76341),x76342),f178(x76341)))+P144(f822(f822(f318(x76341),f822(f822(f79(x76341),x76342),x76343)),f178(x76341)))
% 218.59/218.72 [7635]~P127(x76351)+~P144(f822(f822(f318(x76351),x76353),f105(x76351)))+~P144(f822(f822(f318(x76351),x76352),f105(x76351)))+P144(f822(f822(f318(x76351),f822(f822(f79(x76351),x76352),x76353)),f105(x76351)))
% 218.59/218.72 [7636]~P1(x76361)+~P144(f822(f822(f318(x76361),x76363),f178(x76361)))+~P144(f822(f822(f318(x76361),x76362),f178(x76361)))+P144(f822(f822(f318(x76361),f822(f822(f80(x76361),x76362),x76363)),f178(x76361)))
% 218.59/218.72 [7637]~P127(x76371)+~P144(f822(f822(f318(x76371),x76373),f105(x76371)))+~P144(f822(f822(f318(x76371),x76372),f105(x76371)))+P144(f822(f822(f318(x76371),f822(f822(f80(x76371),x76372),x76373)),f105(x76371)))
% 218.59/218.72 [7638]~P127(x76381)+~P144(f822(f822(f318(x76381),x76383),f105(x76381)))+~P144(f822(f822(f318(x76381),x76382),f105(x76381)))+P144(f822(f822(f318(x76381),f822(f822(f3(x76381),x76382),x76383)),f105(x76381)))
% 218.59/218.72 [7665]P147(x76653,x76651,x76652)+E(x76651,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x76651),f829(x76652,x76651,x76653))),f828(x76652,x76651,x76653)),x76652)+P144(f822(f822(f227(a1),x76651),f2(a1)))
% 218.59/218.72 [7666]P148(x76663,x76661,x76662)+E(x76661,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x76661),f833(x76662,x76661,x76663))),f832(x76662,x76661,x76663)),x76662)+P144(f822(f822(f227(a1),x76661),f2(a1)))
% 218.59/218.72 [7749]P147(x77491,x77492,x77493)+~P144(f822(x77491,x77493))+P144(f822(f822(f226(a1),f2(a1)),f828(x77493,x77492,x77491)))+P144(f822(f822(f226(a1),f827(x77493,x77492,x77491)),f2(a1)))
% 218.59/218.72 [7780]P148(x77801,x77802,x77803)+P144(f822(f822(f226(a1),f2(a1)),f832(x77803,x77802,x77801)))+~P144(f822(x77801,f2(a1)))+P144(f822(f822(f226(a1),f831(x77803,x77802,x77801)),f2(a1)))
% 218.59/218.72 [7789]P147(x77893,x77891,x77892)+~P144(f822(x77893,x77892))+E(f822(f822(f79(a1),f822(f822(f80(a1),x77891),f829(x77892,x77891,x77893))),f828(x77892,x77891,x77893)),x77892)+P144(f822(f822(f227(a1),x77891),f2(a1)))
% 218.59/218.72 [7795]P147(x77952,x77951,x77953)+E(x77951,f2(a1))+~P144(f822(x77952,f828(x77953,x77951,x77952)))+P144(f822(f822(f226(a1),f827(x77953,x77951,x77952)),f2(a1)))
% 218.59/218.72 [7796]P148(x77962,x77961,x77963)+E(x77961,f2(a1))+~P144(f822(x77962,f833(x77963,x77961,x77962)))+P144(f822(f822(f226(a1),f831(x77963,x77961,x77962)),f2(a1)))
% 218.59/218.72 [7801]P148(x78013,x78011,x78012)+E(f822(f822(f79(a1),f822(f822(f80(a1),x78011),f833(x78012,x78011,x78013))),f832(x78012,x78011,x78013)),x78012)+~P144(f822(x78013,f2(a1)))+P144(f822(f822(f227(a1),x78011),f2(a1)))
% 218.59/218.72 [7857]P147(x78571,x78572,x78573)+~P144(f822(x78571,x78573))+~P144(f822(x78571,f828(x78573,x78572,x78571)))+P144(f822(f822(f226(a1),f827(x78573,x78572,x78571)),f2(a1)))
% 218.59/218.72 [7861]P148(x78611,x78612,x78613)+~P144(f822(x78611,f833(x78613,x78612,x78611)))+~P144(f822(x78611,f2(a1)))+P144(f822(f822(f226(a1),f831(x78613,x78612,x78611)),f2(a1)))
% 218.59/218.72 [7934]~P66(x79341)+~P144(f822(f822(f227(x79341),f822(f822(f280(x79341),x79343),x79342)),f2(x79341)))+P144(f822(f822(f227(x79341),x79342),f2(x79341)))+P144(f822(f822(f227(x79341),x79343),f2(x79341)))
% 218.59/218.72 [7935]~P126(x79351)+~P144(f822(f822(f226(x79351),f822(f822(f80(x79351),x79353),x79352)),f2(x79351)))+P144(f822(f822(f226(x79351),x79352),f2(x79351)))+P144(f822(f822(f226(x79351),x79353),f2(x79351)))
% 218.59/218.72 [7936]~P66(x79361)+~P144(f822(f822(f226(x79361),f822(f822(f280(x79361),x79363),x79362)),f2(x79361)))+P144(f822(f822(f226(x79361),x79362),f2(x79361)))+P144(f822(f822(f226(x79361),x79363),f2(x79361)))
% 218.59/218.72 [8049]P147(x80493,x80491,x80492)+E(x80491,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x80491),f829(x80492,x80491,x80493))),f828(x80492,x80491,x80493)),x80492)+P144(f822(f822(f227(a1),x80491),f827(x80492,x80491,x80493)))
% 218.59/218.72 [8050]P148(x80503,x80501,x80502)+E(x80501,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x80501),f833(x80502,x80501,x80503))),f832(x80502,x80501,x80503)),x80502)+P144(f822(f822(f227(a1),x80501),f831(x80502,x80501,x80503)))
% 218.59/218.72 [8062]P147(x80623,x80621,x80622)+E(x80621,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x80621),f830(x80622,x80621,x80623))),f827(x80622,x80621,x80623)),x80622)+P144(f822(f822(f226(a1),f2(a1)),f828(x80622,x80621,x80623)))
% 218.59/218.72 [8063]P148(x80633,x80631,x80632)+E(x80631,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x80631),f835(x80632,x80631,x80633))),f831(x80632,x80631,x80633)),x80632)+P144(f822(f822(f226(a1),f2(a1)),f832(x80632,x80631,x80633)))
% 218.59/218.72 [8108]P147(x81083,x81081,x81082)+~P144(f822(x81083,x81082))+E(f822(f822(f79(a1),f822(f822(f80(a1),x81081),f829(x81082,x81081,x81083))),f828(x81082,x81081,x81083)),x81082)+P144(f822(f822(f227(a1),x81081),f827(x81082,x81081,x81083)))
% 218.59/218.72 [8117]P148(x81173,x81171,x81172)+E(f822(f822(f79(a1),f822(f822(f80(a1),x81171),f833(x81172,x81171,x81173))),f832(x81172,x81171,x81173)),x81172)+P144(f822(f822(f227(a1),x81171),f831(x81172,x81171,x81173)))+~P144(f822(x81173,f2(a1)))
% 218.59/218.72 [8123]P147(x81233,x81231,x81232)+~P144(f822(x81233,x81232))+E(f822(f822(f79(a1),f822(f822(f80(a1),x81231),f830(x81232,x81231,x81233))),f827(x81232,x81231,x81233)),x81232)+P144(f822(f822(f226(a1),f2(a1)),f828(x81232,x81231,x81233)))
% 218.59/218.72 [8129]P148(x81293,x81291,x81292)+E(f822(f822(f79(a1),f822(f822(f80(a1),x81291),f835(x81292,x81291,x81293))),f831(x81292,x81291,x81293)),x81292)+P144(f822(f822(f226(a1),f2(a1)),f832(x81292,x81291,x81293)))+~P144(f822(x81293,f2(a1)))
% 218.59/218.72 [8140]P147(x81403,x81401,x81402)+E(x81401,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x81401),f829(x81402,x81401,x81403))),f828(x81402,x81401,x81403)),x81402)+~P144(f822(x81403,f827(x81402,x81401,x81403)))
% 218.59/218.72 [8141]P148(x81413,x81411,x81412)+E(x81411,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x81411),f833(x81412,x81411,x81413))),f832(x81412,x81411,x81413)),x81412)+~P144(f822(x81413,f835(x81412,x81411,x81413)))
% 218.59/218.72 [8142]P147(x81423,x81421,x81422)+E(x81421,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x81421),f830(x81422,x81421,x81423))),f827(x81422,x81421,x81423)),x81422)+~P144(f822(x81423,f828(x81422,x81421,x81423)))
% 218.59/218.72 [8143]P148(x81433,x81431,x81432)+E(x81431,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x81431),f835(x81432,x81431,x81433))),f831(x81432,x81431,x81433)),x81432)+~P144(f822(x81433,f833(x81432,x81431,x81433)))
% 218.59/218.72 [8202]P147(x82023,x82021,x82022)+~P144(f822(x82023,x82022))+E(f822(f822(f79(a1),f822(f822(f80(a1),x82021),f829(x82022,x82021,x82023))),f828(x82022,x82021,x82023)),x82022)+~P144(f822(x82023,f827(x82022,x82021,x82023)))
% 218.59/218.72 [8203]P147(x82033,x82031,x82032)+~P144(f822(x82033,x82032))+E(f822(f822(f79(a1),f822(f822(f80(a1),x82031),f830(x82032,x82031,x82033))),f827(x82032,x82031,x82033)),x82032)+~P144(f822(x82033,f828(x82032,x82031,x82033)))
% 218.59/218.72 [8216]P148(x82163,x82161,x82162)+E(f822(f822(f79(a1),f822(f822(f80(a1),x82161),f833(x82162,x82161,x82163))),f832(x82162,x82161,x82163)),x82162)+~P144(f822(x82163,f835(x82162,x82161,x82163)))+~P144(f822(x82163,f2(a1)))
% 218.59/218.72 [8217]P148(x82173,x82171,x82172)+E(f822(f822(f79(a1),f822(f822(f80(a1),x82171),f835(x82172,x82171,x82173))),f831(x82172,x82171,x82173)),x82172)+~P144(f822(x82173,f833(x82172,x82171,x82173)))+~P144(f822(x82173,f2(a1)))
% 218.59/218.72 [8314]P147(x83143,x83141,x83142)+E(x83141,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x83141),f829(x83142,x83141,x83143))),f828(x83142,x83141,x83143)),x83142)+P144(f822(f822(f226(a1),f827(x83142,x83141,x83143)),f2(a1)))
% 218.59/218.72 [8315]P148(x83153,x83151,x83152)+E(x83151,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x83151),f833(x83152,x83151,x83153))),f832(x83152,x83151,x83153)),x83152)+P144(f822(f822(f226(a1),f831(x83152,x83151,x83153)),f2(a1)))
% 218.59/218.72 [8354]P147(x83543,x83541,x83542)+~P144(f822(x83543,x83542))+E(f822(f822(f79(a1),f822(f822(f80(a1),x83541),f829(x83542,x83541,x83543))),f828(x83542,x83541,x83543)),x83542)+P144(f822(f822(f226(a1),f827(x83542,x83541,x83543)),f2(a1)))
% 218.59/218.72 [8359]P148(x83593,x83591,x83592)+E(f822(f822(f79(a1),f822(f822(f80(a1),x83591),f833(x83592,x83591,x83593))),f832(x83592,x83591,x83593)),x83592)+~P144(f822(x83593,f2(a1)))+P144(f822(f822(f226(a1),f831(x83592,x83591,x83593)),f2(a1)))
% 218.59/218.72 [8488]P147(x84883,x84881,x84882)+E(x84881,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x84881),f830(x84882,x84881,x84883))),f827(x84882,x84881,x84883)),x84882)+E(f822(f822(f79(a1),f822(f822(f80(a1),x84881),f829(x84882,x84881,x84883))),f828(x84882,x84881,x84883)),x84882)
% 218.59/218.72 [8489]P148(x84893,x84891,x84892)+E(x84891,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x84891),f835(x84892,x84891,x84893))),f831(x84892,x84891,x84893)),x84892)+E(f822(f822(f79(a1),f822(f822(f80(a1),x84891),f833(x84892,x84891,x84893))),f832(x84892,x84891,x84893)),x84892)
% 218.59/218.72 [8509]P147(x85093,x85091,x85092)+~P144(f822(x85093,x85092))+E(f822(f822(f79(a1),f822(f822(f80(a1),x85091),f830(x85092,x85091,x85093))),f827(x85092,x85091,x85093)),x85092)+E(f822(f822(f79(a1),f822(f822(f80(a1),x85091),f829(x85092,x85091,x85093))),f828(x85092,x85091,x85093)),x85092)
% 218.59/218.72 [8520]P148(x85203,x85201,x85202)+E(f822(f822(f79(a1),f822(f822(f80(a1),x85201),f835(x85202,x85201,x85203))),f831(x85202,x85201,x85203)),x85202)+E(f822(f822(f79(a1),f822(f822(f80(a1),x85201),f833(x85202,x85201,x85203))),f832(x85202,x85201,x85203)),x85202)+~P144(f822(x85203,f2(a1)))
% 218.59/218.72 [9149]~P126(x91491)+~E(x91493,f2(x91491))+~E(x91492,f2(x91491))+P144(f822(f822(f226(x91491),f822(f822(f79(x91491),f822(f822(f80(x91491),x91492),x91492)),f822(f822(f80(x91491),x91493),x91493))),f2(x91491)))
% 218.59/218.72 [10218]~P111(x102181)+~E(x102183,f2(x102181))+~E(x102182,f2(x102181))+P144(f822(f822(f226(x102181),f822(f822(f79(x102181),f822(f822(f235(x102181),x102182),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x102181),x102183),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))),f2(x102181)))
% 218.59/218.72 [4791]~E(x47913,x47911)+~P121(x47912)+E(x47911,f2(x47912))+E(f822(f822(f280(x47912),x47913),x47911),f77(x47912))
% 218.59/218.72 [4844]~P102(x48441)+~E(x48443,f182(x48441))+~E(x48442,f182(x48441))+E(f822(f822(f96(x48441),x48442),x48443),f182(x48441))
% 218.59/218.72 [4845]~P101(x48451)+~E(x48453,f233(x48451))+~E(x48452,f233(x48451))+E(f822(f822(f97(x48451),x48452),x48453),f233(x48451))
% 218.59/218.72 [4942]~P121(x49423)+E(x49421,x49422)+E(x49422,f2(x49423))+~E(f822(f822(f280(x49423),x49421),x49422),f77(x49423))
% 218.59/218.72 [4960]~P129(x49602)+E(x49601,f2(x49602))+E(x49603,f2(x49602))+~E(f822(f822(f80(x49602),x49603),x49601),f2(x49602))
% 218.59/218.72 [4961]~P140(x49612)+E(x49611,f2(x49612))+E(x49613,f2(x49612))+~E(f822(f822(f80(x49612),x49613),x49611),f2(x49612))
% 218.59/218.72 [5345]~P119(x53453)+E(x53451,x53452)+E(x53451,f822(f78(x53453),x53452))+~E(f822(f822(f80(x53453),x53451),x53451),f822(f822(f80(x53453),x53452),x53452))
% 218.59/218.72 [5384]~P97(x53841)+E(f822(f78(x53841),x53842),x53843)+~E(f822(f822(f96(x53841),x53842),x53843),f233(x53841))+~E(f822(f822(f97(x53841),x53842),x53843),f182(x53841))
% 218.59/218.72 [5464]~P111(x54643)+E(x54641,x54642)+P144(f822(f822(f227(x54643),x54642),x54641))+P144(f822(f822(f227(x54643),x54641),x54642))
% 218.59/218.72 [5465]~P92(x54653)+E(x54651,x54652)+P144(f822(f822(f227(x54653),x54652),x54651))+P144(f822(f822(f227(x54653),x54651),x54652))
% 218.59/218.72 [5466]~E(x54662,x54663)+~P92(x54661)+P144(f822(f822(f226(x54661),x54662),x54663))+P144(f822(f822(f227(x54661),x54662),x54663))
% 218.59/218.72 [5728]~P91(x57283)+E(x57281,x57282)+~P144(f822(f822(f226(x57283),x57282),x57281))+P144(f822(f822(f227(x57283),x57282),x57281))
% 218.59/218.72 [5734]~P91(x57343)+E(x57341,x57342)+~P144(f822(f822(f226(x57343),x57341),x57342))+P144(f822(f822(f227(x57343),x57341),x57342))
% 218.59/218.72 [5736]~P92(x57363)+E(x57361,x57362)+~P144(f822(f822(f226(x57363),x57361),x57362))+P144(f822(f822(f227(x57363),x57361),x57362))
% 218.59/218.72 [5853]P147(x58531,x58532,x58533)+~P144(f822(x58531,x58533))+P144(f822(f822(f227(a1),x58532),f2(a1)))+P144(f822(f822(f227(a1),f2(a1)),x58532))
% 218.59/218.72 [5904]P148(x59041,x59042,x59043)+~P144(f822(x59041,f2(a1)))+P144(f822(f822(f227(a1),x59042),f2(a1)))+P144(f822(f822(f227(a1),f2(a1)),x59042))
% 218.59/218.72 [5908]~P100(x59081)+E(f822(f822(f96(x59081),x59082),f12(x59081,x59083)),x59082)+~P144(f822(f60(x59081),x59083))+~P144(f822(f822(f318(x59081),x59082),x59083))
% 218.59/218.72 [5909]~P100(x59091)+E(f822(f822(f97(x59091),x59092),f15(x59091,x59093)),x59092)+~P144(f822(f60(x59091),x59093))+~P144(f822(f822(f318(x59091),x59092),x59093))
% 218.59/218.72 [5948]~P92(x59481)+E(f822(f822(f230(x59481),x59482),f17(x59481,x59483)),f17(x59481,x59483))+~P144(f822(f60(x59481),x59483))+~P144(f822(f822(f318(x59481),x59482),x59483))
% 218.59/218.72 [5949]~P92(x59491)+E(f822(f822(f181(x59491),x59492),f16(x59491,x59493)),f16(x59491,x59493))+~P144(f822(f60(x59491),x59493))+~P144(f822(f822(f318(x59491),x59492),x59493))
% 218.59/218.72 [5950]~P100(x59501)+E(f822(f822(f96(x59501),x59502),f15(x59501,x59503)),f15(x59501,x59503))+~P144(f822(f60(x59501),x59503))+~P144(f822(f822(f318(x59501),x59502),x59503))
% 218.59/218.72 [5951]~P100(x59511)+E(f822(f822(f97(x59511),x59512),f12(x59511,x59513)),f12(x59511,x59513))+~P144(f822(f60(x59511),x59513))+~P144(f822(f822(f318(x59511),x59512),x59513))
% 218.59/218.72 [5991]E(x59911,x59912)+~P91(x59913)+~P144(f822(f822(f226(x59913),x59912),x59911))+~P144(f822(f822(f226(x59913),x59911),x59912))
% 218.59/218.72 [6138]~P110(x61381)+P144(f822(f822(f226(x61381),x61383),x61382))+~P144(f822(f822(f226(x61381),x61382),x61383))+P144(f822(f822(f227(x61381),x61382),x61383))
% 218.59/218.72 [6167]~P92(x61671)+~P144(f822(f60(x61671),x61673))+P144(f822(f822(f226(x61671),x61672),f16(x61671,x61673)))+~P144(f822(f822(f318(x61671),x61672),x61673))
% 218.59/218.72 [6217]~P92(x62171)+E(f822(f822(f230(x62171),x62172),f13(x62171,f181(x62171),x62173)),x62172)+~P144(f822(f60(x62171),x62173))+~P144(f822(f822(f318(x62171),x62172),x62173))
% 218.59/218.72 [6218]~P92(x62181)+E(f822(f822(f181(x62181),x62182),f14(x62181,f230(x62181),x62183)),x62182)+~P144(f822(f60(x62181),x62183))+~P144(f822(f822(f318(x62181),x62182),x62183))
% 218.59/218.72 [6367]E(x63671,x63672)+~E(f822(f822(f3(a885),x63671),x63673),f822(f822(f3(a885),x63672),x63673))+~P144(f822(f822(f226(a885),x63673),x63671))+~P144(f822(f822(f226(a885),x63673),x63672))
% 218.59/218.72 [6394]~P92(x63941)+~P144(f822(f60(x63941),x63942))+~P144(f822(f822(f318(x63941),x63943),x63942))+P144(f822(f822(f226(x63941),f17(x63941,x63942)),x63943))
% 218.59/218.72 [6463]P147(x64632,x64631,x64633)+E(x64631,f2(a1))+P144(f822(f822(f227(a1),x64631),f827(x64633,x64631,x64632)))+P144(f822(f822(f227(a1),f2(a1)),x64631))
% 218.59/218.72 [6464]P148(x64642,x64641,x64643)+E(x64641,f2(a1))+P144(f822(f822(f227(a1),x64641),f831(x64643,x64641,x64642)))+P144(f822(f822(f227(a1),f2(a1)),x64641))
% 218.59/218.72 [6465]~P92(x64651)+E(f822(f822(f230(x64651),x64652),f14(x64651,f230(x64651),x64653)),f14(x64651,f230(x64651),x64653))+~P144(f822(f60(x64651),x64653))+~P144(f822(f822(f318(x64651),x64652),x64653))
% 218.59/218.72 [6466]~P92(x64661)+E(f822(f822(f181(x64661),x64662),f13(x64661,f181(x64661),x64663)),f13(x64661,f181(x64661),x64663))+~P144(f822(f60(x64661),x64663))+~P144(f822(f822(f318(x64661),x64662),x64663))
% 218.59/218.72 [6472]~P144(f822(x64721,x64722))+P144(f822(x64721,f798(x64722,x64721,x64723)))+P144(f822(x64721,f2(a885)))+~P144(f822(f822(f227(a885),x64722),x64723))
% 218.59/218.72 [6533]~P144(f822(x65331,x65332))+~P144(f822(f60(x65333),x65332))+P144(f822(x65331,f444(x65331,x65332,x65333)))+P144(f822(x65331,f182(f892(x65333,a882))))
% 218.59/218.72 [6546]~P111(x65461)+~P96(x65461)+P144(f822(f822(f227(x65461),f822(f99(x65461),x65462)),f822(f99(x65461),x65463)))+~P144(f822(f822(f227(a1),x65462),x65463))
% 218.59/218.72 [6547]~P111(x65471)+~P96(x65471)+P144(f822(f822(f226(x65471),f822(f99(x65471),x65472)),f822(f99(x65471),x65473)))+~P144(f822(f822(f226(a1),x65472),x65473))
% 218.59/218.72 [6550]~P144(f822(x65501,x65503))+~P144(f822(f60(x65502),x65503))+P144(f822(f60(x65502),f444(x65501,x65503,x65502)))+P144(f822(x65501,f182(f892(x65502,a882))))
% 218.59/218.72 [6585]P147(x65851,x65852,x65853)+~P144(f822(x65851,x65853))+P144(f822(f822(f227(a1),x65852),f827(x65853,x65852,x65851)))+P144(f822(f822(f227(a1),f2(a1)),x65852))
% 218.59/218.72 [6623]P148(x66231,x66232,x66233)+P144(f822(f822(f227(a1),x66232),f831(x66233,x66232,x66231)))+~P144(f822(x66231,f2(a1)))+P144(f822(f822(f227(a1),f2(a1)),x66232))
% 218.59/218.72 [6654]~P109(x66541)+~P95(x66541)+E(f822(f822(f230(x66541),f822(f99(x66541),x66542)),f822(f99(x66541),x66543)),f822(f99(x66541),x66543))+P144(f822(f822(f226(x66541),f822(f99(x66541),x66542)),f822(f99(x66541),x66543)))
% 218.59/218.72 [6655]~P109(x66551)+~P95(x66551)+E(f822(f822(f181(x66551),f822(f99(x66551),x66552)),f822(f99(x66551),x66553)),f822(f99(x66551),x66552))+P144(f822(f822(f226(x66551),f822(f99(x66551),x66552)),f822(f99(x66551),x66553)))
% 218.59/218.72 [6718]P147(x67182,x67181,x67183)+E(x67181,f2(a1))+~P144(f822(x67182,f827(x67183,x67181,x67182)))+P144(f822(f822(f227(a1),f2(a1)),x67181))
% 218.59/218.72 [6719]P148(x67192,x67191,x67193)+E(x67191,f2(a1))+~P144(f822(x67192,f835(x67193,x67191,x67192)))+P144(f822(f822(f227(a1),f2(a1)),x67191))
% 218.59/218.72 [6723]P144(f822(x67231,x67232))+~P144(f822(f60(x67233),x67232))+P144(f822(x67231,f649(x67231,x67232,x67233)))+~P144(f822(x67231,f182(f892(x67233,a882))))
% 218.59/218.72 [6743]P144(f822(x67431,x67432))+P144(f822(f60(x67433),f649(x67431,x67432,x67433)))+~P144(f822(f60(x67433),x67432))+~P144(f822(x67431,f182(f892(x67433,a882))))
% 218.59/218.72 [6812]P147(x68121,x68122,x68123)+~P144(f822(x68121,x68123))+~P144(f822(x68121,f827(x68123,x68122,x68121)))+P144(f822(f822(f227(a1),f2(a1)),x68122))
% 218.59/218.72 [6843]P148(x68431,x68432,x68433)+~P144(f822(x68431,f835(x68433,x68432,x68431)))+~P144(f822(x68431,f2(a1)))+P144(f822(f822(f227(a1),f2(a1)),x68432))
% 218.59/218.72 [6956]~P96(x69563)+~P111(x69563)+~P144(f822(f822(f227(x69563),f822(f99(x69563),x69561)),f822(f99(x69563),x69562)))+P144(f822(f822(f227(a1),x69561),x69562))
% 218.59/218.72 [6957]~P96(x69573)+~P111(x69573)+~P144(f822(f822(f226(x69573),f822(f99(x69573),x69571)),f822(f99(x69573),x69572)))+P144(f822(f822(f226(a1),x69571),x69572))
% 218.59/218.72 [6987]~P92(x69871)+~P15(x69871,x69873)+P15(x69871,f822(f822(f143(x69871),x69872),x69873))+~P144(f822(f822(f226(x69871),x69872),f725(x69873,x69872,x69871)))
% 218.59/218.72 [6988]~P92(x69881)+~P15(x69881,x69883)+P15(x69881,f822(f822(f143(x69881),x69882),x69883))+~P144(f822(f822(f226(x69881),x69882),f727(x69883,x69882,x69881)))
% 218.59/218.72 [6989]~P92(x69891)+~P15(x69891,x69893)+P15(x69891,f822(f822(f143(x69891),x69892),x69893))+~P144(f822(f822(f226(x69891),x69892),f770(x69892,x69893,x69891)))
% 218.59/218.72 [7077]P147(x70772,x70771,x70773)+E(x70771,f2(a1))+P144(f822(f822(f227(a1),x70771),f2(a1)))+P144(f822(f822(f227(a1),f828(x70773,x70771,x70772)),x70771))
% 218.59/218.72 [7078]P148(x70782,x70781,x70783)+E(x70781,f2(a1))+P144(f822(f822(f227(a1),x70781),f2(a1)))+P144(f822(f822(f227(a1),f832(x70783,x70781,x70782)),x70781))
% 218.59/218.72 [7114]P147(x71142,x71141,x71143)+E(x71141,f2(a1))+P144(f822(f822(f226(a1),f827(x71143,x71141,x71142)),f2(a1)))+P144(f822(f822(f227(a1),f2(a1)),x71141))
% 218.59/218.72 [7115]P148(x71152,x71151,x71153)+E(x71151,f2(a1))+P144(f822(f822(f226(a1),f831(x71153,x71151,x71152)),f2(a1)))+P144(f822(f822(f227(a1),f2(a1)),x71151))
% 218.59/218.72 [7140]~P92(x71401)+~P15(x71401,x71403)+E(f822(f822(f140(x71401,x71401,f7(x71401)),x71402),f162(x71401,x71402,x71403)),x71403)+~P144(f822(f822(f318(x71401),x71402),f822(f164(x71401),x71403)))
% 218.59/218.72 [7188]P147(x71881,x71882,x71883)+~P144(f822(x71881,x71883))+P144(f822(f822(f227(a1),x71882),f2(a1)))+P144(f822(f822(f227(a1),f828(x71883,x71882,x71881)),x71882))
% 218.59/218.72 [7194]~P109(x71941)+~P95(x71941)+E(f822(f822(f230(x71941),f822(f99(x71941),x71942)),f822(f99(x71941),x71943)),f822(f99(x71941),x71942))+~P144(f822(f822(f226(x71941),f822(f99(x71941),x71942)),f822(f99(x71941),x71943)))
% 218.59/218.72 [7195]~P109(x71951)+~P95(x71951)+E(f822(f822(f181(x71951),f822(f99(x71951),x71952)),f822(f99(x71951),x71953)),f822(f99(x71951),x71953))+~P144(f822(f822(f226(x71951),f822(f99(x71951),x71952)),f822(f99(x71951),x71953)))
% 218.59/218.72 [7209]P148(x72091,x72092,x72093)+~P144(f822(x72091,f2(a1)))+P144(f822(f822(f227(a1),x72092),f2(a1)))+P144(f822(f822(f227(a1),f832(x72093,x72092,x72091)),x72092))
% 218.59/218.72 [7219]P147(x72191,x72192,x72193)+~P144(f822(x72191,x72193))+P144(f822(f822(f226(a1),f827(x72193,x72192,x72191)),f2(a1)))+P144(f822(f822(f227(a1),f2(a1)),x72192))
% 218.59/218.72 [7244]P148(x72441,x72442,x72443)+~P144(f822(x72441,f2(a1)))+P144(f822(f822(f226(a1),f831(x72443,x72442,x72441)),f2(a1)))+P144(f822(f822(f227(a1),f2(a1)),x72442))
% 218.59/218.72 [7270]~P144(f822(x72701,x72702))+P144(f822(x72701,f2(a885)))+~P144(f822(f822(f227(a885),x72702),x72703))+P144(f822(f822(f227(a885),f798(x72702,x72701,x72703)),x72703))
% 218.59/218.72 [7287]~P92(x72871)+~P15(x72871,x72873)+P15(x72871,f822(f822(f143(x72871),x72872),x72873))+P144(f822(f822(f318(x72871),f725(x72873,x72872,x72871)),f822(f164(x72871),x72873)))
% 218.59/218.72 [7288]~P92(x72881)+~P15(x72881,x72883)+P15(x72881,f822(f822(f143(x72881),x72882),x72883))+P144(f822(f822(f318(x72881),f727(x72883,x72882,x72881)),f822(f164(x72881),x72883)))
% 218.59/218.72 [7289]~P92(x72891)+~P15(x72891,x72893)+P15(x72891,f822(f822(f143(x72891),x72892),x72893))+P144(f822(f822(f318(x72891),f770(x72892,x72893,x72891)),f822(f164(x72891),x72893)))
% 218.59/218.72 [7415]~P92(x74151)+~P7(x74151)+~P144(f822(f822(f227(x74151),x74153),f36(x74151,x74152)))+P144(f822(f822(f318(x74151),f612(x74152,x74153,x74151)),x74152))
% 218.59/218.72 [7579]~P92(x75791)+~P7(x75791)+~P144(f822(f822(f227(x75791),f37(x75791,x75793)),x75792))+P144(f822(f822(f227(x75791),f617(x75792,x75793,x75791)),x75792))
% 218.59/218.72 [7580]~P92(x75801)+~P7(x75801)+~P144(f822(f822(f227(x75801),f37(x75801,x75803)),x75802))+P144(f822(f822(f318(x75801),f617(x75802,x75803,x75801)),x75803))
% 218.59/218.72 [7593]P147(x75932,x75931,x75933)+E(x75931,f2(a1))+P144(f822(f822(f227(a1),x75931),f827(x75933,x75931,x75932)))+P144(f822(f822(f227(a1),f828(x75933,x75931,x75932)),x75931))
% 218.59/218.72 [7594]P148(x75942,x75941,x75943)+E(x75941,f2(a1))+P144(f822(f822(f227(a1),x75941),f831(x75943,x75941,x75942)))+P144(f822(f822(f227(a1),f832(x75943,x75941,x75942)),x75941))
% 218.59/218.72 [7688]P147(x76883,x76881,x76882)+E(x76881,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x76881),f830(x76882,x76881,x76883))),f827(x76882,x76881,x76883)),x76882)+P144(f822(f822(f227(a1),f2(a1)),x76881))
% 218.59/218.72 [7689]P148(x76893,x76891,x76892)+E(x76891,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x76891),f835(x76892,x76891,x76893))),f831(x76892,x76891,x76893)),x76892)+P144(f822(f822(f227(a1),f2(a1)),x76891))
% 218.59/218.72 [7691]~P131(x76911)+~P144(f822(f822(f227(x76911),x76913),f2(x76911)))+P144(f822(f822(f227(x76911),f822(f822(f80(x76911),x76912),x76913)),f2(x76911)))+~P144(f822(f822(f227(x76911),f2(x76911)),x76912))
% 218.59/218.72 [7692]~P131(x76921)+~P144(f822(f822(f227(x76921),x76922),f2(x76921)))+P144(f822(f822(f227(x76921),f822(f822(f80(x76921),x76922),x76923)),f2(x76921)))+~P144(f822(f822(f227(x76921),f2(x76921)),x76923))
% 218.59/218.72 [7693]~P66(x76931)+~P144(f822(f822(f227(x76931),x76933),f2(x76931)))+P144(f822(f822(f227(x76931),f822(f822(f280(x76931),x76932),x76933)),f2(x76931)))+~P144(f822(f822(f227(x76931),f2(x76931)),x76932))
% 218.59/218.72 [7694]~P66(x76941)+~P144(f822(f822(f227(x76941),x76942),f2(x76941)))+P144(f822(f822(f227(x76941),f822(f822(f280(x76941),x76942),x76943)),f2(x76941)))+~P144(f822(f822(f227(x76941),f2(x76941)),x76943))
% 218.59/218.72 [7695]~P67(x76951)+~P144(f822(f822(f227(x76951),x76953),f2(x76951)))+P144(f822(f822(f227(x76951),f822(f822(f280(x76951),x76952),x76953)),f2(x76951)))+~P144(f822(f822(f227(x76951),f2(x76951)),x76952))
% 218.59/218.72 [7696]~P67(x76961)+~P144(f822(f822(f227(x76961),x76962),f2(x76961)))+P144(f822(f822(f227(x76961),f822(f822(f280(x76961),x76962),x76963)),f2(x76961)))+~P144(f822(f822(f227(x76961),f2(x76961)),x76963))
% 218.59/218.72 [7698]~P126(x76981)+~P144(f822(f822(f226(x76981),x76983),f2(x76981)))+P144(f822(f822(f226(x76981),f822(f822(f80(x76981),x76982),x76983)),f2(x76981)))+~P144(f822(f822(f226(x76981),f2(x76981)),x76982))
% 218.59/218.72 [7699]~P126(x76991)+~P144(f822(f822(f226(x76991),x76992),f2(x76991)))+P144(f822(f822(f226(x76991),f822(f822(f80(x76991),x76992),x76993)),f2(x76991)))+~P144(f822(f822(f226(x76991),f2(x76991)),x76993))
% 218.59/218.72 [7701]~P135(x77011)+~P144(f822(f822(f226(x77011),x77013),f2(x77011)))+P144(f822(f822(f226(x77011),f822(f822(f80(x77011),x77012),x77013)),f2(x77011)))+~P144(f822(f822(f226(x77011),f2(x77011)),x77012))
% 218.59/218.72 [7703]~P135(x77031)+~P144(f822(f822(f226(x77031),x77032),f2(x77031)))+P144(f822(f822(f226(x77031),f822(f822(f80(x77031),x77032),x77033)),f2(x77031)))+~P144(f822(f822(f226(x77031),f2(x77031)),x77033))
% 218.59/218.72 [7704]~P66(x77041)+~P144(f822(f822(f226(x77041),x77043),f2(x77041)))+P144(f822(f822(f226(x77041),f822(f822(f280(x77041),x77042),x77043)),f2(x77041)))+~P144(f822(f822(f226(x77041),f2(x77041)),x77042))
% 218.59/218.72 [7705]~P66(x77051)+~P144(f822(f822(f226(x77051),x77052),f2(x77051)))+P144(f822(f822(f226(x77051),f822(f822(f280(x77051),x77052),x77053)),f2(x77051)))+~P144(f822(f822(f226(x77051),f2(x77051)),x77053))
% 218.59/218.72 [7706]~P67(x77061)+~P144(f822(f822(f227(x77061),x77063),f2(x77061)))+P144(f822(f822(f226(x77061),f822(f822(f280(x77061),x77062),x77063)),f2(x77061)))+~P144(f822(f822(f226(x77061),f2(x77061)),x77062))
% 218.59/218.72 [7707]~P67(x77071)+~P144(f822(f822(f226(x77071),x77072),f2(x77071)))+P144(f822(f822(f226(x77071),f822(f822(f280(x77071),x77072),x77073)),f2(x77071)))+~P144(f822(f822(f227(x77071),f2(x77071)),x77073))
% 218.59/218.72 [7722]P147(x77221,x77222,x77223)+~P144(f822(x77221,x77223))+P144(f822(f822(f227(a1),x77222),f827(x77223,x77222,x77221)))+P144(f822(f822(f227(a1),f828(x77223,x77222,x77221)),x77222))
% 218.59/218.72 [7735]P148(x77351,x77352,x77353)+P144(f822(f822(f227(a1),x77352),f831(x77353,x77352,x77351)))+~P144(f822(x77351,f2(a1)))+P144(f822(f822(f227(a1),f832(x77353,x77352,x77351)),x77352))
% 218.59/218.72 [7787]P147(x77872,x77871,x77873)+E(x77871,f2(a1))+~P144(f822(x77872,f827(x77873,x77871,x77872)))+P144(f822(f822(f227(a1),f828(x77873,x77871,x77872)),x77871))
% 218.59/218.72 [7788]P148(x77882,x77881,x77883)+E(x77881,f2(a1))+~P144(f822(x77882,f835(x77883,x77881,x77882)))+P144(f822(f822(f227(a1),f832(x77883,x77881,x77882)),x77881))
% 218.59/218.72 [7798]P147(x77983,x77981,x77982)+~P144(f822(x77983,x77982))+E(f822(f822(f79(a1),f822(f822(f80(a1),x77981),f830(x77982,x77981,x77983))),f827(x77982,x77981,x77983)),x77982)+P144(f822(f822(f227(a1),f2(a1)),x77981))
% 218.59/218.72 [7813]P148(x78133,x78131,x78132)+E(f822(f822(f79(a1),f822(f822(f80(a1),x78131),f835(x78132,x78131,x78133))),f831(x78132,x78131,x78133)),x78132)+~P144(f822(x78133,f2(a1)))+P144(f822(f822(f227(a1),f2(a1)),x78131))
% 218.59/218.72 [7841]~P144(f822(x78411,x78413))+~P144(f822(f60(x78412),x78413))+P144(f822(f822(f318(x78412),f445(x78411,x78413,x78412)),f444(x78411,x78413,x78412)))+P144(f822(x78411,f182(f892(x78412,a882))))
% 218.59/218.72 [7852]P147(x78521,x78522,x78523)+~P144(f822(x78521,x78523))+~P144(f822(x78521,f827(x78523,x78522,x78521)))+P144(f822(f822(f227(a1),f828(x78523,x78522,x78521)),x78522))
% 218.59/218.72 [7858]P148(x78581,x78582,x78583)+~P144(f822(x78581,f835(x78583,x78582,x78581)))+~P144(f822(x78581,f2(a1)))+P144(f822(f822(f227(a1),f832(x78583,x78582,x78581)),x78582))
% 218.59/218.72 [7965]~P66(x79651)+~P144(f822(f822(f227(x79651),f822(f822(f280(x79651),x79653),x79652)),f2(x79651)))+P144(f822(f822(f227(x79651),x79652),f2(x79651)))+P144(f822(f822(f227(x79651),f2(x79651)),x79652))
% 218.59/218.72 [7966]~P66(x79661)+~P144(f822(f822(f227(x79661),f822(f822(f280(x79661),x79662),x79663)),f2(x79661)))+P144(f822(f822(f227(x79661),x79662),f2(x79661)))+P144(f822(f822(f227(x79661),f2(x79661)),x79662))
% 218.59/218.72 [7967]~P126(x79671)+~P144(f822(f822(f226(x79671),f822(f822(f80(x79671),x79673),x79672)),f2(x79671)))+P144(f822(f822(f226(x79671),x79672),f2(x79671)))+P144(f822(f822(f226(x79671),f2(x79671)),x79672))
% 218.59/218.72 [7968]~P126(x79681)+~P144(f822(f822(f226(x79681),f822(f822(f80(x79681),x79682),x79683)),f2(x79681)))+P144(f822(f822(f226(x79681),x79682),f2(x79681)))+P144(f822(f822(f226(x79681),f2(x79681)),x79682))
% 218.59/218.72 [7969]~P66(x79691)+~P144(f822(f822(f226(x79691),f822(f822(f280(x79691),x79693),x79692)),f2(x79691)))+P144(f822(f822(f226(x79691),x79692),f2(x79691)))+P144(f822(f822(f226(x79691),f2(x79691)),x79692))
% 218.59/218.72 [7970]~P66(x79701)+~P144(f822(f822(f226(x79701),f822(f822(f280(x79701),x79702),x79703)),f2(x79701)))+P144(f822(f822(f226(x79701),x79702),f2(x79701)))+P144(f822(f822(f226(x79701),f2(x79701)),x79702))
% 218.59/218.72 [7996]~P66(x79961)+~P144(f822(f822(f227(x79961),f822(f822(f280(x79961),x79962),x79963)),f2(x79961)))+P144(f822(f822(f227(x79961),f2(x79961)),x79962))+P144(f822(f822(f227(x79961),f2(x79961)),x79963))
% 218.59/218.72 [7997]~P126(x79971)+~P144(f822(f822(f226(x79971),f822(f822(f80(x79971),x79972),x79973)),f2(x79971)))+P144(f822(f822(f226(x79971),f2(x79971)),x79972))+P144(f822(f822(f226(x79971),f2(x79971)),x79973))
% 218.59/218.72 [7998]~P66(x79981)+~P144(f822(f822(f226(x79981),f822(f822(f280(x79981),x79982),x79983)),f2(x79981)))+P144(f822(f822(f226(x79981),f2(x79981)),x79982))+P144(f822(f822(f226(x79981),f2(x79981)),x79983))
% 218.59/218.72 [8019]P147(x80192,x80191,x80193)+E(x80191,f2(a1))+P144(f822(f822(f226(a1),f827(x80193,x80191,x80192)),f2(a1)))+P144(f822(f822(f227(a1),f828(x80193,x80191,x80192)),x80191))
% 218.59/218.72 [8020]P148(x80202,x80201,x80203)+E(x80201,f2(a1))+P144(f822(f822(f226(a1),f831(x80203,x80201,x80202)),f2(a1)))+P144(f822(f822(f227(a1),f832(x80203,x80201,x80202)),x80201))
% 218.59/218.72 [8026]~P90(x80261)+~P144(f822(f822(f227(x80261),x80262),f77(x80261)))+P144(f822(f822(f227(x80261),f822(f822(f235(x80261),x80262),f822(a107,x80263))),f77(x80261)))+~P144(f822(f822(f227(x80261),f2(x80261)),x80262))
% 218.59/218.72 [8081]~P92(x80811)+~E(x80813,f108(x80811))+~P15(x80811,f822(f160(x80811),x80813))+E(f822(f134(x80811,x80811,f822(f9(x80811,x80811,x80811),f181(x80811)),x80812),f822(f160(x80811),x80813)),x80812)
% 218.59/218.72 [8084]P147(x80841,x80842,x80843)+~P144(f822(x80841,x80843))+P144(f822(f822(f226(a1),f827(x80843,x80842,x80841)),f2(a1)))+P144(f822(f822(f227(a1),f828(x80843,x80842,x80841)),x80842))
% 218.59/218.72 [8092]P148(x80921,x80922,x80923)+~P144(f822(x80921,f2(a1)))+P144(f822(f822(f226(a1),f831(x80923,x80922,x80921)),f2(a1)))+P144(f822(f822(f227(a1),f832(x80923,x80922,x80921)),x80922))
% 218.59/218.72 [8309]P147(x83093,x83091,x83092)+E(x83091,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x83091),f830(x83092,x83091,x83093))),f827(x83092,x83091,x83093)),x83092)+P144(f822(f822(f227(a1),f828(x83092,x83091,x83093)),x83091))
% 218.59/218.72 [8310]P148(x83103,x83101,x83102)+E(x83101,f2(a1))+E(f822(f822(f79(a1),f822(f822(f80(a1),x83101),f835(x83102,x83101,x83103))),f831(x83102,x83101,x83103)),x83102)+P144(f822(f822(f227(a1),f832(x83102,x83101,x83103)),x83101))
% 218.59/218.72 [8345]P147(x83453,x83451,x83452)+~P144(f822(x83453,x83452))+E(f822(f822(f79(a1),f822(f822(f80(a1),x83451),f830(x83452,x83451,x83453))),f827(x83452,x83451,x83453)),x83452)+P144(f822(f822(f227(a1),f828(x83452,x83451,x83453)),x83451))
% 218.59/218.72 [8346]~P72(x83461)+~P76(x83461)+~P39(x83463)+E(f822(f822(f8(a885,x83461),f822(f822(f10(a1,x83461,a885),x83462),f95(a1))),f822(f299(a1,a885,a100),x83463)),f822(f822(f8(a1,x83461),x83462),x83463))
% 218.59/218.72 [8347]~P72(x83471)+~P76(x83471)+~P39(x83473)+E(f822(f822(f11(a885,x83471),f822(f822(f10(a1,x83471,a885),x83472),f95(a1))),f822(f299(a1,a885,a100),x83473)),f822(f822(f11(a1,x83471),x83472),x83473))
% 218.59/218.72 [8356]P148(x83563,x83561,x83562)+E(f822(f822(f79(a1),f822(f822(f80(a1),x83561),f835(x83562,x83561,x83563))),f831(x83562,x83561,x83563)),x83562)+~P144(f822(x83563,f2(a1)))+P144(f822(f822(f227(a1),f832(x83562,x83561,x83563)),x83561))
% 218.59/218.72 [8377]~E(x83772,f2(a885))+~E(f822(f242(a885,a885),x83773),f2(a885))+~E(x83771,f822(f822(f79(a885),f822(f822(f80(a885),f822(f242(a885,a885),x83773)),x83772)),f822(f247(a885,a885),x83773)))+P144(f822(f47(x83771,x83772),x83773))
% 218.59/218.72 [8431]P144(f822(x84311,x84312))+~P144(f822(f822(f318(x84313),f657(x84311,x84312,x84313)),f649(x84311,x84312,x84313)))+~P144(f822(f60(x84313),x84312))+~P144(f822(x84311,f182(f892(x84313,a882))))
% 218.59/218.72 [9022]P144(f822(x90221,x90222))+~P144(f822(f60(x90223),x90222))+~P144(f822(x90221,f822(f822(f298(x90223),f657(x90221,x90222,x90223)),f649(x90221,x90222,x90223))))+~P144(f822(x90221,f182(f892(x90223,a882))))
% 218.59/218.72 [9263]P144(f822(f822(f226(a1),x92631),f2(a1)))+~P144(f822(f822(f227(a1),f822(f822(f79(a1),f822(f822(f80(a1),x92632),x92631)),x92633)),f2(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x92632))+~P144(f822(f822(f226(a1),f2(a1)),x92633))
% 218.59/218.72 [5798]~P100(x57982)+E(x57981,f182(f892(x57982,a882)))+~P144(f822(f60(x57982),x57981))+E(f15(x57982,f822(f822(f298(x57982),x57983),x57981)),f822(f822(f96(x57982),x57983),f15(x57982,x57981)))
% 218.59/218.72 [5799]~P92(x57992)+E(x57991,f182(f892(x57992,a882)))+~P144(f822(f60(x57992),x57991))+E(f16(x57992,f822(f822(f298(x57992),x57993),x57991)),f822(f822(f181(x57992),x57993),f16(x57992,x57991)))
% 218.59/218.72 [5800]~P92(x58002)+E(x58001,f182(f892(x58002,a882)))+~P144(f822(f60(x58002),x58001))+E(f17(x58002,f822(f822(f298(x58002),x58003),x58001)),f822(f822(f230(x58002),x58003),f17(x58002,x58001)))
% 218.59/218.72 [5801]~P100(x58012)+E(x58011,f182(f892(x58012,a882)))+~P144(f822(f60(x58012),x58011))+E(f12(x58012,f822(f822(f298(x58012),x58013),x58011)),f822(f822(f97(x58012),x58013),f12(x58012,x58011)))
% 218.59/218.72 [6134]~P126(x61341)+~E(x61343,f2(x61341))+~E(x61342,f2(x61341))+E(f822(f822(f79(x61341),f822(f822(f80(x61341),x61342),x61342)),f822(f822(f80(x61341),x61343),x61343)),f2(x61341))
% 218.59/218.72 [6210]~P98(x62102)+E(x62101,f182(f892(x62102,a882)))+~P144(f822(f60(x62102),x62101))+E(f822(f62(x62102,f80(x62102)),f822(f822(f298(x62102),x62103),x62101)),f822(f822(f80(x62102),x62103),f822(f62(x62102,f80(x62102)),x62101)))
% 218.59/218.72 [6341]~P92(x63412)+E(x63411,f182(f892(x63412,a882)))+~P144(f822(f60(x63412),x63411))+E(f13(x63412,f181(x63412),f822(f822(f298(x63412),x63413),x63411)),f822(f822(f181(x63412),x63413),f13(x63412,f181(x63412),x63411)))
% 218.59/218.72 [6342]~P92(x63422)+E(x63421,f182(f892(x63422,a882)))+~P144(f822(f60(x63422),x63421))+E(f14(x63422,f230(x63422),f822(f822(f298(x63422),x63423),x63421)),f822(f822(f230(x63422),x63423),f14(x63422,f230(x63422),x63421)))
% 218.59/218.72 [6877]~P70(x68771)+~P144(f822(f60(x68771),x68773))+E(f822(f62(x68771,f80(x68771)),f822(f822(f298(x68771),x68772),x68773)),f822(f822(f63(x68771,x68771,f80(x68771)),x68772),x68773))+P144(f822(f822(f318(x68771),x68772),x68773))
% 218.59/218.72 [6963]~E(f822(f822(f79(a1),x69632),f822(f822(f80(a1),x69633),x69631)),x69633)+~P144(f822(f822(f227(a1),f2(a1)),x69633))+P144(f822(f822(f226(a1),f77(a1)),x69631))+~P144(f822(f822(f227(a1),x69632),x69633))
% 218.59/218.72 [6994]~E(f822(f822(f79(a1),x69942),f822(f822(f80(a1),x69943),x69941)),x69943)+P144(f822(f822(f226(a1),x69941),f77(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x69943))+~P144(f822(f822(f226(a1),f2(a1)),x69942))
% 218.59/218.72 [7011]E(x70111,f2(a885))+~P144(f822(f47(x70113,x70111),x70112))+~P144(f822(f822(f227(a885),f2(a885)),x70111))+P144(f822(f822(f227(a885),f822(f247(a885,a885),x70112)),x70111))
% 218.59/218.72 [7043]~P139(x70431)+~P144(f822(f822(f226(x70431),x70432),f2(x70431)))+~P144(f822(f822(f226(x70431),x70433),f2(x70431)))+E(f822(f822(f80(x70431),f822(f75(x70431),x70432)),f822(f75(x70431),x70433)),f822(f75(x70431),f822(f822(f80(x70431),x70432),x70433)))
% 218.59/218.72 [7090]~P139(x70901)+~P144(f822(f822(f226(x70901),x70902),f2(x70901)))+E(f822(f822(f80(x70901),f822(f75(x70901),x70902)),f822(f75(x70901),x70903)),f822(f75(x70901),f822(f822(f80(x70901),x70902),x70903)))+~P144(f822(f822(f226(x70901),f2(x70901)),x70903))
% 218.59/218.72 [7091]~P139(x70911)+~P144(f822(f822(f226(x70911),x70913),f2(x70911)))+E(f822(f822(f80(x70911),f822(f75(x70911),x70912)),f822(f75(x70911),x70913)),f822(f75(x70911),f822(f822(f80(x70911),x70912),x70913)))+~P144(f822(f822(f226(x70911),f2(x70911)),x70912))
% 218.59/218.72 [7148]~P139(x71481)+E(f822(f822(f80(x71481),f822(f75(x71481),x71482)),f822(f75(x71481),x71483)),f822(f75(x71481),f822(f822(f80(x71481),x71482),x71483)))+~P144(f822(f822(f226(x71481),f2(x71481)),x71482))+~P144(f822(f822(f226(x71481),f2(x71481)),x71483))
% 218.59/218.72 [7165]~P126(x71651)+~P144(f822(f822(f227(x71651),x71653),f2(x71651)))+~P144(f822(f822(f227(x71651),x71652),f2(x71651)))+P144(f822(f822(f227(x71651),f2(x71651)),f822(f822(f80(x71651),x71652),x71653)))
% 218.59/218.72 [7166]~P66(x71661)+~P144(f822(f822(f227(x71661),x71663),f2(x71661)))+~P144(f822(f822(f227(x71661),x71662),f2(x71661)))+P144(f822(f822(f227(x71661),f2(x71661)),f822(f822(f280(x71661),x71662),x71663)))
% 218.59/218.72 [7167]~P67(x71671)+~P144(f822(f822(f227(x71671),x71673),f2(x71671)))+~P144(f822(f822(f227(x71671),x71672),f2(x71671)))+P144(f822(f822(f227(x71671),f2(x71671)),f822(f822(f280(x71671),x71672),x71673)))
% 218.59/218.72 [7168]~P126(x71681)+~P144(f822(f822(f226(x71681),x71683),f2(x71681)))+~P144(f822(f822(f226(x71681),x71682),f2(x71681)))+P144(f822(f822(f226(x71681),f2(x71681)),f822(f822(f80(x71681),x71682),x71683)))
% 218.59/218.72 [7170]~P136(x71701)+~P144(f822(f822(f226(x71701),x71703),f2(x71701)))+~P144(f822(f822(f226(x71701),x71702),f2(x71701)))+P144(f822(f822(f226(x71701),f2(x71701)),f822(f822(f80(x71701),x71702),x71703)))
% 218.59/218.72 [7171]~P66(x71711)+~P144(f822(f822(f226(x71711),x71713),f2(x71711)))+~P144(f822(f822(f226(x71711),x71712),f2(x71711)))+P144(f822(f822(f226(x71711),f2(x71711)),f822(f822(f280(x71711),x71712),x71713)))
% 218.59/218.72 [7172]~P67(x71721)+~P144(f822(f822(f227(x71721),x71723),f2(x71721)))+~P144(f822(f822(f226(x71721),x71722),f2(x71721)))+P144(f822(f822(f226(x71721),f2(x71721)),f822(f822(f280(x71721),x71722),x71723)))
% 218.59/218.72 [7173]~P90(x71731)+~P144(f822(f822(f227(a885),f2(a885)),x71733))+~P144(f822(f822(f227(x71731),f77(x71731)),x71732))+P144(f822(f822(f227(x71731),f77(x71731)),f822(f822(f235(x71731),x71732),x71733)))
% 218.59/218.72 [7271]~P86(x72711)+~P144(f822(f822(f227(x72711),f2(x72711)),x72713))+~P144(f822(f822(f227(x72711),f2(x72711)),x72712))+P144(f822(f822(f227(x72711),f2(x72711)),f822(f822(f79(x72711),x72712),x72713)))
% 218.59/218.72 [7274]~P131(x72741)+~P144(f822(f822(f227(x72741),f2(x72741)),x72743))+~P144(f822(f822(f227(x72741),f2(x72741)),x72742))+P144(f822(f822(f227(x72741),f2(x72741)),f822(f822(f80(x72741),x72742),x72743)))
% 218.59/218.72 [7275]~P66(x72751)+~P144(f822(f822(f227(x72751),f2(x72751)),x72753))+~P144(f822(f822(f227(x72751),f2(x72751)),x72752))+P144(f822(f822(f227(x72751),f2(x72751)),f822(f822(f280(x72751),x72752),x72753)))
% 218.59/218.72 [7276]~P67(x72761)+~P144(f822(f822(f227(x72761),f2(x72761)),x72763))+~P144(f822(f822(f227(x72761),f2(x72761)),x72762))+P144(f822(f822(f227(x72761),f2(x72761)),f822(f822(f280(x72761),x72762),x72763)))
% 218.59/218.72 [7277]~P90(x72771)+~P144(f822(f822(f227(x72771),f77(x72771)),x72773))+~P144(f822(f822(f227(x72771),f77(x72771)),x72772))+P144(f822(f822(f227(x72771),f77(x72771)),f822(f822(f80(x72771),x72772),x72773)))
% 218.59/218.72 [7279]~P126(x72791)+~P144(f822(f822(f226(x72791),f2(x72791)),x72793))+~P144(f822(f822(f226(x72791),f2(x72791)),x72792))+P144(f822(f822(f226(x72791),f2(x72791)),f822(f822(f80(x72791),x72792),x72793)))
% 218.59/218.72 [7280]~P135(x72801)+~P144(f822(f822(f226(x72801),f2(x72801)),x72803))+~P144(f822(f822(f226(x72801),f2(x72801)),x72802))+P144(f822(f822(f226(x72801),f2(x72801)),f822(f822(f80(x72801),x72802),x72803)))
% 218.59/218.72 [7281]~P136(x72811)+~P144(f822(f822(f226(x72811),f2(x72811)),x72813))+~P144(f822(f822(f226(x72811),f2(x72811)),x72812))+P144(f822(f822(f226(x72811),f2(x72811)),f822(f822(f80(x72811),x72812),x72813)))
% 218.59/218.72 [7282]~P66(x72821)+~P144(f822(f822(f226(x72821),f2(x72821)),x72823))+~P144(f822(f822(f226(x72821),f2(x72821)),x72822))+P144(f822(f822(f226(x72821),f2(x72821)),f822(f822(f280(x72821),x72822),x72823)))
% 218.59/218.72 [7283]~P67(x72831)+~P144(f822(f822(f227(x72831),f2(x72831)),x72833))+~P144(f822(f822(f226(x72831),f2(x72831)),x72832))+P144(f822(f822(f226(x72831),f2(x72831)),f822(f822(f280(x72831),x72832),x72833)))
% 218.59/218.72 [7366]~P100(x73661)+~P144(f822(f60(x73661),x73663))+E(f15(x73661,f822(f822(f298(x73661),x73662),x73663)),x73662)+~E(f822(f822(f3(f892(x73661,a882)),x73663),f822(f822(f298(x73661),x73662),f182(f892(x73661,a882)))),f182(f892(x73661,a882)))
% 218.59/218.72 [7367]~P92(x73671)+~P144(f822(f60(x73671),x73673))+E(f16(x73671,f822(f822(f298(x73671),x73672),x73673)),x73672)+~E(f822(f822(f3(f892(x73671,a882)),x73673),f822(f822(f298(x73671),x73672),f182(f892(x73671,a882)))),f182(f892(x73671,a882)))
% 218.59/218.72 [7368]~P92(x73681)+~P144(f822(f60(x73681),x73683))+E(f17(x73681,f822(f822(f298(x73681),x73682),x73683)),x73682)+~E(f822(f822(f3(f892(x73681,a882)),x73683),f822(f822(f298(x73681),x73682),f182(f892(x73681,a882)))),f182(f892(x73681,a882)))
% 218.59/218.72 [7369]~P100(x73691)+~P144(f822(f60(x73691),x73693))+E(f12(x73691,f822(f822(f298(x73691),x73692),x73693)),x73692)+~E(f822(f822(f3(f892(x73691,a882)),x73693),f822(f822(f298(x73691),x73692),f182(f892(x73691,a882)))),f182(f892(x73691,a882)))
% 218.59/218.72 [7371]~P66(x73711)+P144(f822(f822(f227(x73711),x73712),f2(x73711)))+P144(f822(f822(f227(x73711),f2(x73711)),x73713))+~P144(f822(f822(f227(x73711),f2(x73711)),f822(f822(f280(x73711),x73713),x73712)))
% 218.59/218.72 [7372]~P66(x73721)+P144(f822(f822(f227(x73721),x73722),f2(x73721)))+P144(f822(f822(f227(x73721),f2(x73721)),x73723))+~P144(f822(f822(f227(x73721),f2(x73721)),f822(f822(f280(x73721),x73722),x73723)))
% 218.59/218.72 [7373]~P66(x73731)+P144(f822(f822(f227(x73731),x73732),f2(x73731)))+P144(f822(f822(f227(x73731),f2(x73731)),x73732))+~P144(f822(f822(f227(x73731),f2(x73731)),f822(f822(f280(x73731),x73733),x73732)))
% 218.59/218.72 [7374]~P66(x73741)+P144(f822(f822(f227(x73741),x73742),f2(x73741)))+P144(f822(f822(f227(x73741),f2(x73741)),x73742))+~P144(f822(f822(f227(x73741),f2(x73741)),f822(f822(f280(x73741),x73742),x73743)))
% 218.59/218.72 [7375]~P126(x73751)+P144(f822(f822(f226(x73751),x73752),f2(x73751)))+P144(f822(f822(f226(x73751),f2(x73751)),x73753))+~P144(f822(f822(f226(x73751),f2(x73751)),f822(f822(f80(x73751),x73753),x73752)))
% 218.59/218.72 [7376]~P126(x73761)+P144(f822(f822(f226(x73761),x73762),f2(x73761)))+P144(f822(f822(f226(x73761),f2(x73761)),x73763))+~P144(f822(f822(f226(x73761),f2(x73761)),f822(f822(f80(x73761),x73762),x73763)))
% 218.59/218.72 [7377]~P66(x73771)+P144(f822(f822(f226(x73771),x73772),f2(x73771)))+P144(f822(f822(f226(x73771),f2(x73771)),x73773))+~P144(f822(f822(f226(x73771),f2(x73771)),f822(f822(f280(x73771),x73773),x73772)))
% 218.59/218.72 [7378]~P66(x73781)+P144(f822(f822(f226(x73781),x73782),f2(x73781)))+P144(f822(f822(f226(x73781),f2(x73781)),x73783))+~P144(f822(f822(f226(x73781),f2(x73781)),f822(f822(f280(x73781),x73782),x73783)))
% 218.59/218.72 [7379]~P126(x73791)+P144(f822(f822(f226(x73791),x73792),f2(x73791)))+P144(f822(f822(f226(x73791),f2(x73791)),x73792))+~P144(f822(f822(f226(x73791),f2(x73791)),f822(f822(f80(x73791),x73793),x73792)))
% 218.59/218.72 [7380]~P126(x73801)+P144(f822(f822(f226(x73801),x73802),f2(x73801)))+P144(f822(f822(f226(x73801),f2(x73801)),x73802))+~P144(f822(f822(f226(x73801),f2(x73801)),f822(f822(f80(x73801),x73802),x73803)))
% 218.59/218.72 [7381]~P66(x73811)+P144(f822(f822(f226(x73811),x73812),f2(x73811)))+P144(f822(f822(f226(x73811),f2(x73811)),x73812))+~P144(f822(f822(f226(x73811),f2(x73811)),f822(f822(f280(x73811),x73813),x73812)))
% 218.59/218.72 [7382]~P66(x73821)+P144(f822(f822(f226(x73821),x73822),f2(x73821)))+P144(f822(f822(f226(x73821),f2(x73821)),x73822))+~P144(f822(f822(f226(x73821),f2(x73821)),f822(f822(f280(x73821),x73822),x73823)))
% 218.59/218.72 [7462]~P144(f822(f822(f276(a885),x74621),x74623))+P144(f822(f822(f276(a885),x74621),x74622))+~P144(f822(f822(f226(a885),x74622),x74623))+~P144(f822(f822(f276(a885),x74621),f822(f822(f3(a885),x74623),x74622)))
% 218.59/218.72 [7463]~P144(f822(f822(f276(a885),x74631),x74633))+P144(f822(f822(f276(a885),x74631),x74632))+~P144(f822(f822(f226(a885),x74633),x74632))+~P144(f822(f822(f276(a885),x74631),f822(f822(f3(a885),x74632),x74633)))
% 218.59/218.72 [7478]~E(f822(f822(f97(f892(x74781,a882)),f822(f164(x74781),x74782)),f822(f164(x74781),x74783)),f182(f892(x74781,a882)))+~P144(f822(f129(x74781),x74783))+~P144(f822(f129(x74781),x74782))+P144(f822(f129(x74781),f822(f822(f126(x74781),x74782),x74783)))
% 218.59/218.72 [7479]~P92(x74791)+~P144(f822(f60(x74791),x74793))+E(f13(x74791,f181(x74791),f822(f822(f298(x74791),x74792),x74793)),x74792)+~E(f822(f822(f3(f892(x74791,a882)),x74793),f822(f822(f298(x74791),x74792),f182(f892(x74791,a882)))),f182(f892(x74791,a882)))
% 218.59/218.72 [7480]~P92(x74801)+~P144(f822(f60(x74801),x74803))+E(f14(x74801,f230(x74801),f822(f822(f298(x74801),x74802),x74803)),x74802)+~E(f822(f822(f3(f892(x74801,a882)),x74803),f822(f822(f298(x74801),x74802),f182(f892(x74801,a882)))),f182(f892(x74801,a882)))
% 218.59/218.72 [7495]~P111(x74951)+~P144(f822(f822(f227(x74951),x74952),x74953))+~P144(f822(f822(f227(x74951),f822(f78(x74951),x74952)),x74953))+P144(f822(f822(f227(x74951),f822(f75(x74951),x74952)),x74953))
% 218.59/218.72 [7497]~P84(x74971)+~P144(f822(f822(f226(x74971),x74972),x74973))+~P144(f822(f822(f226(x74971),f822(f78(x74971),x74972)),x74973))+P144(f822(f822(f226(x74971),f822(f75(x74971),x74972)),x74973))
% 218.59/218.72 [7568]~P131(x75681)+P144(f822(f822(f227(x75681),f2(x75681)),x75682))+~P144(f822(f822(f227(x75681),f2(x75681)),x75683))+~P144(f822(f822(f227(x75681),f2(x75681)),f822(f822(f80(x75681),x75683),x75682)))
% 218.59/218.72 [7569]~P131(x75691)+P144(f822(f822(f227(x75691),f2(x75691)),x75692))+~P144(f822(f822(f227(x75691),f2(x75691)),x75693))+~P144(f822(f822(f227(x75691),f2(x75691)),f822(f822(f80(x75691),x75692),x75693)))
% 218.59/218.72 [7872]E(x78721,x78722)+~P144(f822(f60(x78723),x78721))+~P144(f822(f822(f226(a885),f822(f34(x78723),x78721)),f822(f34(x78723),x78722)))+~P144(f822(f822(f226(f892(x78723,a882)),x78722),x78721))
% 218.59/218.72 [8023]~P144(f822(f822(f227(a1),x80231),f2(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x80232))+~P144(f822(f822(f226(a1),x80232),x80233))+P144(f822(f822(f226(a1),f822(f822(f35(a1),x80231),x80232)),f822(f822(f35(a1),x80231),x80233)))
% 218.59/218.72 [8033]~P144(f822(f822(f227(a1),f2(a1)),x80333))+~P144(f822(f822(f226(a1),f2(a1)),x80331))+~P144(f822(f822(f226(a1),x80333),x80332))+P144(f822(f822(f226(a1),f822(f822(f35(a1),x80331),x80332)),f822(f822(f35(a1),x80331),x80333)))
% 218.59/218.72 [8169]E(f822(x81691,f834(x81692,x81691,x81693)),x81692)+~P144(f822(f822(f226(a1),x81692),f822(x81691,x81693)))+P144(f822(f822(f227(a885),f819(x81692,x81691,x81693)),x81693))+~P144(f822(f822(f226(a1),f822(x81691,f2(a885))),x81692))
% 218.59/218.72 [8170]E(f822(x81701,f838(x81702,x81701,x81703)),x81702)+~P144(f822(f822(f226(a1),x81702),f822(x81701,x81703)))+P144(f822(f822(f227(a885),f839(x81702,x81701,x81703)),x81703))+~P144(f822(f822(f226(a1),f822(x81701,f2(a885))),x81702))
% 218.59/218.72 [8272]~P144(f822(f60(x82721),x82723))+~P144(f822(f822(f227(a885),f822(f34(x82721),x82722)),f822(f34(x82721),x82723)))+~P144(f822(f822(f226(f892(x82721,a882)),x82722),x82723))+P144(f822(f822(f227(f892(x82721,a882)),x82722),x82723))
% 218.59/218.72 [8299]E(f822(f822(f3(a1),f391(x82993,x82991,x82992)),f392(x82993,x82991,x82992)),x82991)+E(f822(f822(f79(a1),x82991),x82992),x82991)+~P144(f822(f822(f227(a1),f2(a1)),x82992))+~P144(f822(f822(f318(a1),f822(f822(f79(a1),x82991),f77(a1))),x82993))
% 218.59/218.72 [8300]E(f822(f822(f79(a1),f393(x83003,x83001,x83002)),f394(x83003,x83001,x83002)),x83001)+E(f822(f822(f3(a1),x83001),x83002),x83001)+~P144(f822(f822(f227(a1),f2(a1)),x83002))+~P144(f822(f822(f318(a1),f822(f822(f3(a1),x83001),f77(a1))),x83003))
% 218.59/218.72 [8351]~P144(f822(f822(f226(a885),x83513),x83511))+P144(f822(f822(f227(a885),x83511),x83512))+~P144(f822(f822(f226(a885),x83513),x83512))+~P144(f822(f822(f227(a885),f822(f822(f3(a885),x83511),x83513)),f822(f822(f3(a885),x83512),x83513)))
% 218.59/218.72 [8352]~P144(f822(f822(f226(a885),x83523),x83521))+P144(f822(f822(f226(a885),x83521),x83522))+~P144(f822(f822(f226(a885),x83523),x83522))+~P144(f822(f822(f226(a885),f822(f822(f3(a885),x83521),x83523)),f822(f822(f3(a885),x83522),x83523)))
% 218.59/218.72 [8371]~P92(x83712)+E(x83711,f108(x83712))+~P15(x83712,f822(f160(x83712),x83711))+E(f822(f134(x83712,x83712,f822(f9(x83712,x83712,x83712),f181(x83712)),x83713),f822(f160(x83712),x83711)),f822(f822(f181(x83712),f822(f822(f156(x83712),x83711),f2(a885))),x83713))
% 218.59/218.72 [8436]E(f822(f822(f79(a1),x84361),x84362),x84361)+~P144(f822(f822(f227(a1),f2(a1)),x84362))+P144(f822(f822(f318(a1),f391(x84363,x84361,x84362)),x84363))+~P144(f822(f822(f318(a1),f822(f822(f79(a1),x84361),f77(a1))),x84363))
% 218.59/218.72 [8437]E(f822(f822(f3(a1),x84371),x84372),x84371)+~P144(f822(f822(f227(a1),f2(a1)),x84372))+P144(f822(f822(f318(a1),f393(x84373,x84371,x84372)),x84373))+~P144(f822(f822(f318(a1),f822(f822(f3(a1),x84371),f77(a1))),x84373))
% 218.59/218.72 [8507]~P144(f822(f822(f226(a1),x85071),f822(x85072,x85073)))+P144(f822(f822(f226(a885),f834(x85071,x85072,x85073)),x85073))+P144(f822(f822(f227(a885),f819(x85071,x85072,x85073)),x85073))+~P144(f822(f822(f226(a1),f822(x85072,f2(a885))),x85071))
% 218.59/218.72 [8508]~P144(f822(f822(f226(a1),x85081),f822(x85082,x85083)))+P144(f822(f822(f226(a885),f838(x85081,x85082,x85083)),x85083))+P144(f822(f822(f227(a885),f839(x85081,x85082,x85083)),x85083))+~P144(f822(f822(f226(a1),f822(x85082,f2(a885))),x85081))
% 218.59/218.72 [8580]E(f822(f822(f79(a1),x85801),x85802),x85801)+~P144(f822(f822(f227(a1),f2(a1)),x85802))+P144(f822(f822(f318(a1),f392(x85803,x85801,x85802)),f292(a1,f77(a1),x85802)))+~P144(f822(f822(f318(a1),f822(f822(f79(a1),x85801),f77(a1))),x85803))
% 218.59/218.72 [8581]E(f822(f822(f3(a1),x85811),x85812),x85811)+~P144(f822(f822(f227(a1),f2(a1)),x85812))+P144(f822(f822(f318(a1),f394(x85813,x85811,x85812)),f292(a1,f77(a1),x85812)))+~P144(f822(f822(f318(a1),f822(f822(f3(a1),x85811),f77(a1))),x85813))
% 218.59/218.72 [8708]~P90(x87081)+~P144(f822(f822(f227(x87081),x87082),f77(x87081)))+~P144(f822(f822(f227(x87081),f2(x87081)),x87082))+P144(f822(f822(f227(x87081),f822(f822(f80(x87081),x87082),f822(f822(f235(x87081),x87082),x87083))),f822(f822(f235(x87081),x87082),x87083)))
% 218.59/218.72 [8788]~P144(f822(x87881,x87882))+P144(f822(x87881,f2(a885)))+~P144(f822(f822(f227(a885),x87882),x87883))+~P144(f822(x87881,f44(a885,f822(a107,f798(x87882,x87881,x87883)),x87883)))
% 218.59/218.72 [8932]E(f856(x89321,x89322,x89323),f2(a885))+P144(f822(f822(x89321,x89323),x89322))+P144(f822(f822(x89321,f856(x89321,x89322,x89323)),f44(a885,f855(x89321,x89322,x89323),f856(x89321,x89322,x89323))))+~P144(f822(f304(f891(a885,a885),a213),f822(f822(f243(a885,a885),x89323),x89322)))
% 218.59/218.72 [8968]~P26(x89681,x89681,x89682,x89683)+E(f822(f299(x89681,x89681,x89682),x89683),x89683)+~P144(f822(f60(x89681),x89683))+~P144(f822(f822(f226(f892(x89681,a882)),f822(f299(x89681,x89681,x89682),x89683)),x89683))
% 218.59/218.72 [9186]P144(f822(f822(x91861,x91862),x91863))+P144(f822(f822(f227(a1),f750(x91861,x91863,x91862)),f753(x91861,x91863,x91862)))+P144(f822(f822(x91861,f750(x91861,x91863,x91862)),f822(f822(f79(a1),f753(x91861,x91863,x91862)),f77(a1))))+~P144(f822(f304(f891(a1,a1),a125),f822(f822(f243(a1,a1),x91862),x91863)))
% 218.59/218.72 [9207]P144(f822(f822(x92071,x92072),x92073))+~P144(f822(f822(f227(a1),f853(x92071,x92073,x92072)),f2(a1)))+P144(f822(f822(x92071,f822(f78(a1),f850(x92071,x92073,x92072))),f822(f78(a1),f853(x92071,x92073,x92072))))+~P144(f822(f304(f891(a1,a1),a215),f822(f822(f243(a1,a1),x92072),x92073)))
% 218.59/218.72 [9389]P144(f822(f822(x93891,x93892),x93893))+P144(f822(f822(x93891,f822(f822(f79(a1),f342(x93891,x93893,x93892)),f77(a1))),f344(x93891,x93893,x93892)))+~P144(f822(f822(f226(a1),f342(x93891,x93893,x93892)),f344(x93891,x93893,x93892)))+~P144(f822(f304(f891(a1,a1),a174),f822(f822(f243(a1,a1),x93892),x93893)))
% 218.59/218.72 [9827]~P63(x98272)+~P63(x98271)+~P144(f822(f55(f891(x98271,x98272)),x98273))+P144(f822(f55(x98271),f822(f822(f10(f892(x98272,a882),a882,x98271),f55(x98272)),f822(f822(f10(f892(x98272,f891(x98271,x98272)),f892(x98272,a882),x98271),f822(f10(f891(x98271,x98272),a882,x98272),x98273)),f243(x98271,x98272)))))
% 218.59/218.72 [9828]~P63(x98282)+~P63(x98281)+~P144(f822(f56(f891(x98281,x98282)),x98283))+P144(f822(f56(x98281),f822(f822(f10(f892(x98282,a882),a882,x98281),f56(x98282)),f822(f822(f10(f892(x98282,f891(x98281,x98282)),f892(x98282,a882),x98281),f822(f10(f891(x98281,x98282),a882,x98282),x98283)),f243(x98281,x98282)))))
% 218.59/218.72 [9920]~P63(x99202)+~P63(x99201)+P144(f822(f55(f891(x99201,x99202)),x99203))+~P144(f822(f55(x99201),f822(f822(f10(f892(x99202,a882),a882,x99201),f55(x99202)),f822(f822(f10(f892(x99202,f891(x99201,x99202)),f892(x99202,a882),x99201),f822(f10(f891(x99201,x99202),a882,x99202),x99203)),f243(x99201,x99202)))))
% 218.59/218.72 [9921]~P63(x99212)+~P63(x99211)+P144(f822(f56(f891(x99211,x99212)),x99213))+~P144(f822(f56(x99211),f822(f822(f10(f892(x99212,a882),a882,x99211),f56(x99212)),f822(f822(f10(f892(x99212,f891(x99211,x99212)),f892(x99212,a882),x99211),f822(f10(f891(x99211,x99212),a882,x99212),x99213)),f243(x99211,x99212)))))
% 218.59/218.72 [10097]E(f822(x100971,f834(x100972,x100971,x100973)),x100972)+~P144(f822(f822(f226(a1),x100972),f822(x100971,x100973)))+~P144(f822(f822(f226(a1),f822(f75(a1),f822(f822(f3(a1),f822(x100971,f822(f822(f79(a885),f819(x100972,x100971,x100973)),f77(a885)))),f822(x100971,f819(x100972,x100971,x100973))))),f77(a1)))+~P144(f822(f822(f226(a1),f822(x100971,f2(a885))),x100972))
% 218.59/218.72 [10098]E(f822(x100981,f838(x100982,x100981,x100983)),x100982)+~P144(f822(f822(f226(a1),x100982),f822(x100981,x100983)))+~P144(f822(f822(f226(a1),f822(f75(a1),f822(f822(f3(a1),f822(x100981,f822(f822(f79(a885),f839(x100982,x100981,x100983)),f77(a885)))),f822(x100981,f839(x100982,x100981,x100983))))),f77(a1)))+~P144(f822(f822(f226(a1),f822(x100981,f2(a885))),x100982))
% 218.59/218.72 [10101]~P144(f822(f822(f226(a1),x101011),f822(x101012,x101013)))+~P144(f822(f822(f226(a1),f822(f75(a1),f822(f822(f3(a1),f822(x101012,f822(f822(f79(a885),f819(x101011,x101012,x101013)),f77(a885)))),f822(x101012,f819(x101011,x101012,x101013))))),f77(a1)))+P144(f822(f822(f226(a885),f834(x101011,x101012,x101013)),x101013))+~P144(f822(f822(f226(a1),f822(x101012,f2(a885))),x101011))
% 218.59/218.72 [10102]~P144(f822(f822(f226(a1),x101021),f822(x101022,x101023)))+~P144(f822(f822(f226(a1),f822(f75(a1),f822(f822(f3(a1),f822(x101022,f822(f822(f79(a885),f839(x101021,x101022,x101023)),f77(a885)))),f822(x101022,f839(x101021,x101022,x101023))))),f77(a1)))+P144(f822(f822(f226(a885),f838(x101021,x101022,x101023)),x101023))+~P144(f822(f822(f226(a1),f822(x101022,f2(a885))),x101021))
% 218.59/218.72 [10155]E(x101551,x101552)+~E(f822(f134(f887(x101553),f887(x101553),f126(x101553),f108(x101553)),x101551),f822(f134(f887(x101553),f887(x101553),f126(x101553),f108(x101553)),x101552))+~E(f822(f183(f887(f887(x101553))),x101551),f822(f183(f887(f887(x101553))),x101552))+~P144(f822(f822(f248(f887(x101553),f887(x101553),a882),f822(f822(f9(f887(x101553),f892(f887(x101553),a885),f892(f887(x101553),a882)),f822(f822(f10(f892(a885,a882),f892(f892(f887(x101553),a885),f892(f887(x101553),a882)),f887(x101553)),f10(a885,a882,f887(x101553))),f822(f822(f10(a885,f892(a885,a882),f887(x101553)),a314),f183(f887(x101553))))),f183(f887(x101553)))),f717(x101552,x101551,x101553)))
% 218.59/218.72 [10156]E(x101561,x101562)+~E(f822(f134(f887(x101563),f887(x101563),f126(x101563),f108(x101563)),x101561),f822(f134(f887(x101563),f887(x101563),f126(x101563),f108(x101563)),x101562))+~E(f822(f183(f887(f887(x101563))),x101561),f822(f183(f887(f887(x101563))),x101562))+~P144(f822(f822(f248(f887(x101563),f887(x101563),a882),f822(f822(f9(f887(x101563),f892(f887(x101563),a885),f892(f887(x101563),a882)),f822(f822(f10(f892(a885,a882),f892(f892(f887(x101563),a885),f892(f887(x101563),a882)),f887(x101563)),f10(a885,a882,f887(x101563))),f822(f822(f10(a885,f892(a885,a882),f887(x101563)),a314),f183(f887(x101563))))),f183(f887(x101563)))),f718(x101561,x101562,x101563)))
% 218.59/218.72 [6865]~E(f77(a885),f2(a885))+~P144(f822(f60(x68651),x68653))+~P144(f822(f60(x68651),x68652))+E(f822(f822(f79(a885),f822(f34(x68651),x68652)),f822(f34(x68651),x68653)),f822(f34(x68651),f822(f822(f96(f892(x68651,a882)),x68652),x68653)))
% 218.59/218.72 [7290]~P92(x72901)+~P144(f822(f60(x72901),x72902))+~P144(f822(f822(f318(x72901),x72903),x72902))+P144(f822(f822(f226(x72901),f822(f62(x72901,f230(x72901)),x72902)),x72903))
% 218.59/218.72 [7291]~P105(x72911)+~P144(f822(f60(x72911),x72912))+~P144(f822(f822(f318(x72911),x72913),x72912))+P144(f822(f822(f226(x72911),f822(f62(x72911,f97(x72911)),x72912)),x72913))
% 218.59/218.72 [7562]~P144(f822(f60(x75621),x75623))+~P144(f822(f60(x75621),x75622))+~E(f822(f822(f97(f892(x75621,a882)),x75622),x75623),f182(f892(x75621,a882)))+E(f822(f822(f79(a885),f822(f34(x75621),x75622)),f822(f34(x75621),x75623)),f822(f34(x75621),f822(f822(f96(f892(x75621,a882)),x75622),x75623)))
% 218.59/218.72 [8357]~P36(x83571,x83573)+~P36(x83571,x83572)+~E(f822(f822(f97(f892(x83571,a882)),f822(f255(x83571,x83571),x83572)),f822(f273(x83571,x83571),x83573)),f182(f892(x83571,a882)))+P36(x83571,f822(f822(f96(f892(f891(x83571,x83571),a882)),x83572),x83573))
% 218.59/218.72 [8448]E(x84481,f822(f822(f35(a885),x84482),x84483))+~P144(f822(f822(f227(a885),f2(a885)),x84483))+~P144(f822(f822(f227(a885),x84482),f822(f822(f80(a885),x84483),f822(a107,x84481))))+~P144(f822(f822(f226(a885),f822(f822(f80(a885),x84483),x84481)),x84482))
% 218.59/218.72 [8578]~P144(f822(f60(x85781),x85782))+~P144(f822(f60(x85781),x85783))+E(f822(f822(f79(a885),f822(f34(x85781),x85782)),f822(f34(x85781),x85783)),f822(f34(x85781),f822(f822(f96(f892(x85781,a882)),x85782),x85783)))+P144(f822(f822(f318(x85781),f461(x85783,x85782,x85781)),f822(f822(f97(f892(x85781,a882)),x85782),x85783)))
% 218.59/218.72 [8944]~P126(x89442)+~E(x89441,f2(x89442))+~E(x89443,f2(x89442))+~P144(f822(f822(f227(x89442),f2(x89442)),f822(f822(f79(x89442),f822(f822(f80(x89442),x89443),x89443)),f822(f822(f80(x89442),x89441),x89441))))
% 218.59/218.72 [9468]~P36(x94681,x94683)+~P36(x94681,x94682)+P36(x94681,f822(f822(f96(f892(f891(x94681,x94681),a882)),x94682),x94683))+~P144(f822(f822(f226(f892(f891(x94681,x94681),a882)),f822(f822(f278(x94681,x94681,x94681),x94682),x94683)),x94682))
% 218.59/218.72 [9598]~P144(f822(x95981,x95983))+~P144(f822(f60(x95982),x95983))+P144(f822(x95981,f182(f892(x95982,a882))))+~P144(f822(x95981,f822(f822(f3(f892(x95982,a882)),f444(x95981,x95983,x95982)),f822(f822(f298(x95982),f445(x95981,x95983,x95982)),f182(f892(x95982,a882))))))
% 218.59/218.72 [8741]~P144(f822(f822(f227(a1),f2(a1)),x87413))+P144(f822(f822(f226(a1),f2(a1)),x87411))+~P144(f822(f822(f227(a1),x87412),x87413))+~P144(f822(f822(f226(a1),f2(a1)),f822(f822(f79(a1),f822(f822(f80(a1),x87413),x87411)),x87412)))
% 218.59/218.72 [8762]~P100(x87621)+~P144(f822(f60(x87621),x87622))+E(f822(f822(f3(f892(x87621,a882)),x87622),f822(f822(f298(x87621),x87623),f182(f892(x87621,a882)))),f182(f892(x87621,a882)))+E(f822(f822(f96(x87621),x87623),f15(x87621,f822(f822(f3(f892(x87621,a882)),x87622),f822(f822(f298(x87621),x87623),f182(f892(x87621,a882)))))),f15(x87621,f822(f822(f298(x87621),x87623),x87622)))
% 218.59/218.72 [8763]~P92(x87631)+~P144(f822(f60(x87631),x87632))+E(f822(f822(f3(f892(x87631,a882)),x87632),f822(f822(f298(x87631),x87633),f182(f892(x87631,a882)))),f182(f892(x87631,a882)))+E(f822(f822(f181(x87631),x87633),f16(x87631,f822(f822(f3(f892(x87631,a882)),x87632),f822(f822(f298(x87631),x87633),f182(f892(x87631,a882)))))),f16(x87631,f822(f822(f298(x87631),x87633),x87632)))
% 218.59/218.72 [8764]~P92(x87641)+~P144(f822(f60(x87641),x87642))+E(f822(f822(f3(f892(x87641,a882)),x87642),f822(f822(f298(x87641),x87643),f182(f892(x87641,a882)))),f182(f892(x87641,a882)))+E(f822(f822(f230(x87641),x87643),f17(x87641,f822(f822(f3(f892(x87641,a882)),x87642),f822(f822(f298(x87641),x87643),f182(f892(x87641,a882)))))),f17(x87641,f822(f822(f298(x87641),x87643),x87642)))
% 218.59/218.72 [8765]~P100(x87651)+~P144(f822(f60(x87651),x87652))+E(f822(f822(f3(f892(x87651,a882)),x87652),f822(f822(f298(x87651),x87653),f182(f892(x87651,a882)))),f182(f892(x87651,a882)))+E(f822(f822(f97(x87651),x87653),f12(x87651,f822(f822(f3(f892(x87651,a882)),x87652),f822(f822(f298(x87651),x87653),f182(f892(x87651,a882)))))),f12(x87651,f822(f822(f298(x87651),x87653),x87652)))
% 218.59/218.72 [8830]~P92(x88301)+~P144(f822(f60(x88301),x88302))+E(f822(f822(f3(f892(x88301,a882)),x88302),f822(f822(f298(x88301),x88303),f182(f892(x88301,a882)))),f182(f892(x88301,a882)))+E(f822(f822(f181(x88301),x88303),f13(x88301,f181(x88301),f822(f822(f3(f892(x88301,a882)),x88302),f822(f822(f298(x88301),x88303),f182(f892(x88301,a882)))))),f13(x88301,f181(x88301),f822(f822(f298(x88301),x88303),x88302)))
% 218.59/218.72 [8831]~P92(x88311)+~P144(f822(f60(x88311),x88312))+E(f822(f822(f3(f892(x88311,a882)),x88312),f822(f822(f298(x88311),x88313),f182(f892(x88311,a882)))),f182(f892(x88311,a882)))+E(f822(f822(f230(x88311),x88313),f14(x88311,f230(x88311),f822(f822(f3(f892(x88311,a882)),x88312),f822(f822(f298(x88311),x88313),f182(f892(x88311,a882)))))),f14(x88311,f230(x88311),f822(f822(f298(x88311),x88313),x88312)))
% 218.59/218.72 [9408]E(x94081,x94082)+~E(f822(f134(f887(x94083),f887(x94083),f126(x94083),f108(x94083)),x94081),f822(f134(f887(x94083),f887(x94083),f126(x94083),f108(x94083)),x94082))+~E(f822(f183(f887(f887(x94083))),x94081),f822(f183(f887(f887(x94083))),x94082))+P144(f822(f822(f318(f891(f887(x94083),f887(x94083))),f717(x94082,x94081,x94083)),f822(f164(f891(f887(x94083),f887(x94083))),f822(f822(f173(f887(x94083),f887(x94083)),x94081),x94082))))
% 218.59/218.72 [9409]E(x94091,x94092)+~E(f822(f134(f887(x94093),f887(x94093),f126(x94093),f108(x94093)),x94091),f822(f134(f887(x94093),f887(x94093),f126(x94093),f108(x94093)),x94092))+~E(f822(f183(f887(f887(x94093))),x94091),f822(f183(f887(f887(x94093))),x94092))+P144(f822(f822(f318(f891(f887(x94093),f887(x94093))),f718(x94091,x94092,x94093)),f822(f164(f891(f887(x94093),f887(x94093))),f822(f822(f173(f887(x94093),f887(x94093)),x94092),x94091))))
% 218.59/218.72 [10255]~P78(x102552)+E(x102551,f182(f892(x102552,a882)))+~P144(f822(f60(x102552),x102551))+E(f16(x102552,f822(f253(x102552),f822(f822(f10(f892(x102552,a882),a882,x102552),f86(x102552)),f822(f822(f9(x102552,f892(x102552,a882),f892(x102552,a882)),f822(f822(f10(f892(x102552,f892(a882,a882)),f892(f892(x102552,a882),f892(x102552,a882)),x102552),f20(x102552,a882,a882)),f822(f822(f10(f892(x102552,a882),f892(x102552,f892(a882,a882)),x102552),f822(f10(a882,f892(a882,a882),x102552),a315)),f822(f822(f9(x102552,f892(x102552,x102552),f892(x102552,a882)),f822(f822(f10(f892(x102552,a882),f892(f892(x102552,x102552),f892(x102552,a882)),x102552),f10(x102552,a882,x102552)),a314)),f822(f79(x102552),x102553))))),f822(f822(f9(x102552,f892(x102552,a882),a882),f318(x102552)),x102551))))),f822(f822(f79(x102552),x102553),f16(x102552,x102551)))
% 218.59/218.72 [10256]~P78(x102562)+E(x102561,f182(f892(x102562,a882)))+~P144(f822(f60(x102562),x102561))+E(f17(x102562,f822(f253(x102562),f822(f822(f10(f892(x102562,a882),a882,x102562),f86(x102562)),f822(f822(f9(x102562,f892(x102562,a882),f892(x102562,a882)),f822(f822(f10(f892(x102562,f892(a882,a882)),f892(f892(x102562,a882),f892(x102562,a882)),x102562),f20(x102562,a882,a882)),f822(f822(f10(f892(x102562,a882),f892(x102562,f892(a882,a882)),x102562),f822(f10(a882,f892(a882,a882),x102562),a315)),f822(f822(f9(x102562,f892(x102562,x102562),f892(x102562,a882)),f822(f822(f10(f892(x102562,a882),f892(f892(x102562,x102562),f892(x102562,a882)),x102562),f10(x102562,a882,x102562)),a314)),f822(f79(x102562),x102563))))),f822(f822(f9(x102562,f892(x102562,a882),a882),f318(x102562)),x102561))))),f822(f822(f79(x102562),x102563),f17(x102562,x102561)))
% 218.59/218.72 [10257]~P104(x102572)+E(x102571,f182(f892(x102572,a882)))+~P144(f822(f60(x102572),x102571))+E(f12(x102572,f822(f253(x102572),f822(f822(f10(f892(x102572,a882),a882,x102572),f86(x102572)),f822(f822(f9(x102572,f892(x102572,a882),f892(x102572,a882)),f822(f822(f10(f892(x102572,f892(a882,a882)),f892(f892(x102572,a882),f892(x102572,a882)),x102572),f20(x102572,a882,a882)),f822(f822(f10(f892(x102572,a882),f892(x102572,f892(a882,a882)),x102572),f822(f10(a882,f892(a882,a882),x102572),a315)),f822(f822(f9(x102572,f892(x102572,x102572),f892(x102572,a882)),f822(f822(f10(f892(x102572,a882),f892(f892(x102572,x102572),f892(x102572,a882)),x102572),f10(x102572,a882,x102572)),a314)),f822(f96(x102572),x102573))))),f822(f822(f9(x102572,f892(x102572,a882),a882),f318(x102572)),x102571))))),f822(f822(f96(x102572),x102573),f12(x102572,x102571)))
% 218.59/218.72 [10258]~P104(x102582)+E(x102581,f182(f892(x102582,a882)))+~P144(f822(f60(x102582),x102581))+E(f15(x102582,f822(f253(x102582),f822(f822(f10(f892(x102582,a882),a882,x102582),f86(x102582)),f822(f822(f9(x102582,f892(x102582,a882),f892(x102582,a882)),f822(f822(f10(f892(x102582,f892(a882,a882)),f892(f892(x102582,a882),f892(x102582,a882)),x102582),f20(x102582,a882,a882)),f822(f822(f10(f892(x102582,a882),f892(x102582,f892(a882,a882)),x102582),f822(f10(a882,f892(a882,a882),x102582),a315)),f822(f822(f9(x102582,f892(x102582,x102582),f892(x102582,a882)),f822(f822(f10(f892(x102582,a882),f892(f892(x102582,x102582),f892(x102582,a882)),x102582),f10(x102582,a882,x102582)),a314)),f822(f97(x102582),x102583))))),f822(f822(f9(x102582,f892(x102582,a882),a882),f318(x102582)),x102581))))),f822(f822(f97(x102582),x102583),f15(x102582,x102581)))
% 218.59/218.72 [10259]~P92(x102592)+E(x102591,f182(f892(x102592,a882)))+~P144(f822(f60(x102592),x102591))+E(f13(x102592,f181(x102592),f822(f253(x102592),f822(f822(f10(f892(x102592,a882),a882,x102592),f86(x102592)),f822(f822(f9(x102592,f892(x102592,a882),f892(x102592,a882)),f822(f822(f10(f892(x102592,f892(a882,a882)),f892(f892(x102592,a882),f892(x102592,a882)),x102592),f20(x102592,a882,a882)),f822(f822(f10(f892(x102592,a882),f892(x102592,f892(a882,a882)),x102592),f822(f10(a882,f892(a882,a882),x102592),a315)),f822(f822(f9(x102592,f892(x102592,x102592),f892(x102592,a882)),f822(f822(f10(f892(x102592,a882),f892(f892(x102592,x102592),f892(x102592,a882)),x102592),f10(x102592,a882,x102592)),a314)),f822(f230(x102592),x102593))))),f822(f822(f9(x102592,f892(x102592,a882),a882),f318(x102592)),x102591))))),f822(f822(f230(x102592),x102593),f13(x102592,f181(x102592),x102591)))
% 218.59/218.72 [10260]~P92(x102602)+E(x102601,f182(f892(x102602,a882)))+~P144(f822(f60(x102602),x102601))+E(f14(x102602,f230(x102602),f822(f253(x102602),f822(f822(f10(f892(x102602,a882),a882,x102602),f86(x102602)),f822(f822(f9(x102602,f892(x102602,a882),f892(x102602,a882)),f822(f822(f10(f892(x102602,f892(a882,a882)),f892(f892(x102602,a882),f892(x102602,a882)),x102602),f20(x102602,a882,a882)),f822(f822(f10(f892(x102602,a882),f892(x102602,f892(a882,a882)),x102602),f822(f10(a882,f892(a882,a882),x102602),a315)),f822(f822(f9(x102602,f892(x102602,x102602),f892(x102602,a882)),f822(f822(f10(f892(x102602,a882),f892(f892(x102602,x102602),f892(x102602,a882)),x102602),f10(x102602,a882,x102602)),a314)),f822(f181(x102602),x102603))))),f822(f822(f9(x102602,f892(x102602,a882),a882),f318(x102602)),x102601))))),f822(f822(f181(x102602),x102603),f14(x102602,f230(x102602),x102601)))
% 218.59/218.72 [9983]~P111(x99831)+~E(x99833,f2(x99831))+~E(x99832,f2(x99831))+E(f822(f822(f79(x99831),f822(f822(f235(x99831),x99832),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x99831),x99833),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f2(x99831))
% 218.59/218.72 [10140]~P90(x101401)+~P144(f822(f822(f226(x101401),f2(x101401)),x101403))+P144(f822(f822(f226(x101401),x101402),x101403))+~P144(f822(f822(f226(x101401),f822(f822(f235(x101401),x101402),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x101401),x101403),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))))
% 218.59/218.72 [10188]~P111(x101882)+~E(x101881,f2(x101882))+~E(x101883,f2(x101882))+~P144(f822(f822(f227(x101882),f2(x101882)),f822(f822(f79(x101882),f822(f822(f235(x101882),x101883),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92))))),f822(f822(f235(x101882),x101881),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))))
% 218.59/218.72 [9370]E(x93701,x93702)+~E(f673(x93701,x93702,x93704,x93703),f674(x93701,x93702,x93704,x93703))+P144(f822(f822(f318(f891(f887(x93703),f887(x93703))),f822(f822(f243(f887(x93703),f887(x93703)),x93702),x93701)),f139(x93703,x93704)))+P144(f822(f822(f318(f891(f887(x93703),f887(x93703))),f822(f822(f243(f887(x93703),f887(x93703)),x93701),x93702)),f139(x93703,x93704)))
% 218.59/218.72 [4829]~P64(x48292)+~E(x48294,f2(x48292))+~E(x48291,f2(x48292))+E(x48291,f822(f822(f280(x48292),x48293),x48294))
% 218.59/218.72 [4830]~P64(x48301)+~E(x48303,f2(x48301))+~E(x48304,f2(x48301))+E(f822(f822(f280(x48301),x48302),x48303),x48304)
% 218.59/218.72 [4950]~P64(x49502)+E(x49501,f2(x49502))+~E(x49503,f2(x49502))+~E(x49501,f822(f822(f280(x49502),x49504),x49503))
% 218.59/218.72 [4951]~P64(x49512)+E(x49511,f2(x49512))+~E(x49513,f2(x49512))+~E(f822(f822(f280(x49512),x49514),x49513),x49511)
% 218.59/218.72 [5135]~P121(x51352)+E(x51351,f2(x51352))+~E(f822(f822(f280(x51352),x51353),x51351),x51354)+E(x51353,f822(f822(f80(x51352),x51354),x51351))
% 218.59/218.72 [5137]~P121(x51372)+E(x51371,f2(x51372))+~E(f822(f822(f80(x51372),x51373),x51371),x51374)+E(x51373,f822(f822(f280(x51372),x51374),x51371))
% 218.59/218.72 [5138]~P64(x51382)+E(x51381,f2(x51382))+~E(f822(f822(f280(x51382),x51383),x51381),x51384)+E(x51383,f822(f822(f80(x51382),x51384),x51381))
% 218.59/218.72 [5139]~P64(x51392)+E(x51391,f2(x51392))+~E(f822(f822(f80(x51392),x51393),x51391),x51394)+E(x51393,f822(f822(f280(x51392),x51394),x51391))
% 218.59/218.72 [5140]~P121(x51402)+E(x51401,f2(x51402))+~E(x51403,f822(f822(f280(x51402),x51404),x51401))+E(f822(f822(f80(x51402),x51403),x51401),x51404)
% 218.59/218.72 [5142]~P121(x51422)+E(x51421,f2(x51422))+~E(x51423,f822(f822(f80(x51422),x51424),x51421))+E(f822(f822(f280(x51422),x51423),x51421),x51424)
% 218.59/218.72 [5143]~P64(x51432)+E(x51431,f2(x51432))+~E(x51433,f822(f822(f280(x51432),x51434),x51431))+E(f822(f822(f80(x51432),x51433),x51431),x51434)
% 218.59/218.72 [5144]~P64(x51442)+E(x51441,f2(x51442))+~E(x51443,f822(f822(f80(x51442),x51444),x51441))+E(f822(f822(f280(x51442),x51443),x51441),x51444)
% 218.59/218.72 [5168]~P64(x51682)+~E(x51681,f2(x51682))+~E(f822(f822(f80(x51682),x51681),x51684),x51683)+E(x51681,f822(f822(f280(x51682),x51683),x51684))
% 218.59/218.72 [5169]~P64(x51691)+~E(x51694,f2(x51691))+~E(x51692,f822(f822(f80(x51691),x51694),x51693))+E(f822(f822(f280(x51691),x51692),x51693),x51694)
% 218.59/218.72 [5244]~E(x52443,x52444)+~E(x52442,x52443)+~P91(x52441)+E(f292(x52441,x52442,x52443),f822(f822(f298(x52441),x52444),f182(f892(x52441,a882))))
% 218.59/218.72 [5454]~E(f136(x54542,x54541),x54544)+~E(f109(x54542,x54541),x54543)+E(x54541,f108(x54542))+E(f822(f822(f126(x54542),x54543),f822(f822(f143(x54542),x54544),f108(x54542))),x54541)
% 218.59/218.72 [6100]~P90(x61003)+E(x61001,x61002)+~E(f822(f822(f235(x61003),x61004),x61001),f822(f822(f235(x61003),x61004),x61002))+~P144(f822(f822(f227(x61003),f77(x61003)),x61004))
% 218.59/218.72 [6101]E(x61011,x61012)+~E(f822(f822(f298(x61013),x61014),x61011),f822(f822(f298(x61013),x61014),x61012))+P144(f822(f822(f318(x61013),x61014),x61012))+P144(f822(f822(f318(x61013),x61014),x61011))
% 218.59/218.72 [6145]E(f822(x61451,x61452),f2(a885))+~E(f822(f822(f8(x61453,a885),x61451),x61454),f2(a885))+~P144(f822(f60(x61453),x61454))+~P144(f822(f822(f318(x61453),x61452),x61454))
% 218.59/218.72 [6146]E(f822(x61461,x61462),f77(a885))+~E(f822(f822(f11(x61463,a885),x61461),x61464),f77(a885))+~P144(f822(f60(x61463),x61464))+~P144(f822(f822(f318(x61463),x61462),x61464))
% 218.59/218.72 [6378]~P91(x63781)+~P144(f822(f822(f227(x63781),x63784),x63783))+P144(f822(f822(f227(x63781),x63782),x63783))+~P144(f822(f822(f227(x63781),x63782),x63784))
% 218.59/218.72 [6379]~P91(x63791)+~P144(f822(f822(f226(x63791),x63794),x63793))+P144(f822(f822(f227(x63791),x63792),x63793))+~P144(f822(f822(f227(x63791),x63792),x63794))
% 218.59/218.72 [6380]~P91(x63801)+~P144(f822(f822(f226(x63801),x63802),x63804))+P144(f822(f822(f227(x63801),x63802),x63803))+~P144(f822(f822(f227(x63801),x63804),x63803))
% 218.59/218.72 [6381]~P110(x63811)+~P144(f822(f822(f227(x63811),x63812),x63814))+P144(f822(f822(f227(x63811),x63812),x63813))+~P144(f822(f822(f227(x63811),x63814),x63813))
% 218.59/218.72 [6382]~P110(x63821)+~P144(f822(f822(f226(x63821),x63822),x63824))+P144(f822(f822(f227(x63821),x63822),x63823))+~P144(f822(f822(f227(x63821),x63824),x63823))
% 218.59/218.72 [6383]~P110(x63831)+~P144(f822(f822(f226(x63831),x63834),x63833))+P144(f822(f822(f227(x63831),x63832),x63833))+~P144(f822(f822(f227(x63831),x63832),x63834))
% 218.59/218.72 [6384]~P91(x63841)+~P144(f822(f822(f226(x63841),x63844),x63843))+P144(f822(f822(f226(x63841),x63842),x63843))+~P144(f822(f822(f226(x63841),x63842),x63844))
% 218.59/218.72 [6385]~P110(x63851)+~P144(f822(f822(f226(x63851),x63852),x63854))+P144(f822(f822(f226(x63851),x63852),x63853))+~P144(f822(f822(f226(x63851),x63854),x63853))
% 218.59/218.72 [6386]~P112(x63861)+~P144(f822(f822(f276(x63861),x63862),x63864))+P144(f822(f822(f276(x63861),x63862),x63863))+~P144(f822(f822(f276(x63861),x63864),x63863))
% 218.59/218.72 [6473]~P34(x64734,x64733,x64732)+E(x64731,f772(x64732,x64733,x64734))+~P144(f822(x64733,x64731))+~P144(f822(f822(f318(x64734),x64731),f822(f164(x64734),x64732)))
% 218.59/218.72 [6474]~P34(x64744,x64743,x64742)+E(x64741,f784(x64742,x64743,x64744))+~P144(f822(x64743,x64741))+~P144(f822(f822(f318(x64744),x64741),f822(f164(x64744),x64742)))
% 218.59/218.72 [6629]~P7(x66291)+~P144(f822(f822(f226(x66291),x66292),f37(x66291,x66294)))+P144(f822(f822(f226(x66291),x66292),x66293))+~P144(f822(f822(f318(x66291),x66293),x66294))
% 218.59/218.72 [6784]~P92(x67841)+~P15(x67841,f822(f822(f143(x67841),x67842),x67844))+~P144(f822(f822(f318(x67841),x67843),f822(f164(x67841),x67844)))+P144(f822(f822(f226(x67841),x67842),x67843))
% 218.59/218.72 [6875]~P7(x68751)+~P144(f822(f822(f226(x68751),f36(x68751,x68754)),x68753))+P144(f822(f822(f226(x68751),x68752),x68753))+~P144(f822(f822(f318(x68751),x68752),x68754))
% 218.59/218.72 [7026]~P5(x70261)+P144(f822(f822(f276(x70261),x70262),f44(x70261,x70263,x70264)))+~P144(f822(f822(f276(x70261),x70262),x70264))+~P144(f822(f822(f276(x70261),x70262),x70263))
% 218.59/218.72 [7293]~P92(x72931)+E(f822(f822(f96(f892(x72931,a882)),f822(f291(x72931,x72932),x72933)),f822(f291(x72931,x72933),x72934)),f822(f291(x72931,x72932),x72934))+~P144(f822(f822(f226(x72931),x72933),x72934))+~P144(f822(f822(f226(x72931),x72932),x72933))
% 218.59/218.72 [7340]P34(x73401,x73402,x73403)+~E(f786(x73403,x73402,x73401,x73404),x73404)+~P144(f822(x73402,x73404))+~P144(f822(f822(f318(x73401),x73404),f822(f164(x73401),x73403)))
% 218.59/218.72 [7341]P34(x73411,x73412,x73413)+~E(f791(x73413,x73412,x73411,x73414),x73414)+~P144(f822(x73412,x73414))+~P144(f822(f822(f318(x73411),x73414),f822(f164(x73411),x73413)))
% 218.59/218.72 [7385]~P5(x73851)+~P144(f822(f822(f276(x73851),x73852),f44(x73851,x73853,x73854)))+P144(f822(f822(f276(x73851),x73852),x73853))+~P144(f822(f822(f276(x73851),x73852),x73854))
% 218.59/218.72 [7425]~P92(x74251)+E(f822(f822(f96(f892(x74251,a882)),f822(f291(x74251,x74252),x74253)),f292(x74251,x74253,x74254)),f292(x74251,x74252,x74254))+~P144(f822(f822(f226(x74251),x74253),x74254))+~P144(f822(f822(f226(x74251),x74252),x74253))
% 218.59/218.72 [7436]~P91(x74361)+~P49(a885,x74361,f276(a885),x74362)+P144(f822(f822(f226(x74361),f822(x74362,x74363)),f822(x74362,x74364)))+~P144(f822(f822(f276(a885),x74363),x74364))
% 218.59/218.72 [7488]~P92(x74881)+E(f822(f822(f96(f892(x74881,a882)),f295(x74881,x74882,x74883)),f822(f291(x74881,x74883),x74884)),f295(x74881,x74882,x74884))+~P144(f822(f822(f227(x74881),x74882),x74883))+~P144(f822(f822(f226(x74881),x74883),x74884))
% 218.59/218.72 [7508]~P92(x75081)+E(f822(f822(f96(f892(x75081,a882)),f292(x75081,x75082,x75083)),f295(x75081,x75083,x75084)),f822(f291(x75081,x75082),x75084))+~P144(f822(f822(f227(x75081),x75083),x75084))+~P144(f822(f822(f226(x75081),x75082),x75083))
% 218.59/218.72 [7542]~P92(x75421)+E(f822(f822(f96(f892(x75421,a882)),f292(x75421,x75422,x75423)),f294(x75421,x75423,x75424)),f292(x75421,x75422,x75424))+~P144(f822(f822(f226(x75421),x75423),x75424))+~P144(f822(f822(f226(x75421),x75422),x75423))
% 218.59/218.72 [7543]~P92(x75431)+E(f822(f822(f96(f892(x75431,a882)),f294(x75431,x75432,x75433)),f294(x75431,x75433,x75434)),f294(x75431,x75432,x75434))+~P144(f822(f822(f226(x75431),x75433),x75434))+~P144(f822(f822(f226(x75431),x75432),x75433))
% 218.59/218.72 [7544]~P92(x75441)+E(f822(f822(f96(f892(x75441,a882)),f294(x75441,x75442,x75443)),f295(x75441,x75443,x75444)),f295(x75441,x75442,x75444))+~P144(f822(f822(f227(x75441),x75443),x75444))+~P144(f822(f822(f226(x75441),x75442),x75443))
% 218.59/218.72 [7545]~P92(x75451)+E(f822(f822(f96(f892(x75451,a882)),f295(x75451,x75452,x75453)),f292(x75451,x75453,x75454)),f294(x75451,x75452,x75454))+~P144(f822(f822(f227(x75451),x75452),x75453))+~P144(f822(f822(f226(x75451),x75453),x75454))
% 218.59/218.72 [8341]P26(x83411,x83412,f483(x83413,x83412,x83414,x83411),x83414)+~P144(f822(f60(x83412),x83413))+~P144(f822(f60(x83411),x83414))+~P144(f822(f822(f226(a885),f822(f34(x83411),x83414)),f822(f34(x83412),x83413)))
% 218.59/218.72 [8362]P34(x83621,x83622,x83623)+~P144(f822(x83622,x83624))+P144(f822(x83622,f786(x83623,x83622,x83621,x83624)))+~P144(f822(f822(f318(x83621),x83624),f822(f164(x83621),x83623)))
% 218.59/218.72 [8363]P34(x83631,x83632,x83633)+~P144(f822(x83632,x83634))+P144(f822(x83632,f791(x83633,x83632,x83631,x83634)))+~P144(f822(f822(f318(x83631),x83634),f822(f164(x83631),x83633)))
% 218.59/218.72 [8414]~P76(x84141)+~E(f822(x84143,f579(x84143,x84144,x84142,x84141)),f77(x84141))+E(f822(f822(f822(f64(x84141,x84142,f80(x84141)),x84143),f77(x84141)),x84144),f77(x84141))+~P144(f822(f60(x84142),x84144))
% 218.59/218.72 [8675]~P90(x86751)+~P144(f822(f822(f226(x86751),f2(x86751)),x86753))+P144(f822(f822(f226(x86751),x86752),x86753))+~P144(f822(f822(f226(x86751),f822(f822(f235(x86751),x86752),f822(a107,x86754))),f822(f822(f235(x86751),x86753),f822(a107,x86754))))
% 218.59/218.72 [8969]P34(x89691,x89692,x89693)+~P144(f822(x89692,x89694))+~P144(f822(f822(f318(x89691),x89694),f822(f164(x89691),x89693)))+P144(f822(f822(f318(x89691),f786(x89693,x89692,x89691,x89694)),f822(f164(x89691),x89693)))
% 218.59/218.72 [8970]P34(x89701,x89702,x89703)+~P144(f822(x89702,x89704))+~P144(f822(f822(f318(x89701),x89704),f822(f164(x89701),x89703)))+P144(f822(f822(f318(x89701),f791(x89703,x89702,x89701,x89704)),f822(f164(x89701),x89703)))
% 218.59/218.72 [9042]~P76(x90421)+E(f822(f822(f822(f64(x90421,x90422,f80(x90421)),x90423),f77(x90421)),x90424),f77(x90421))+~P144(f822(f60(x90422),x90424))+P144(f822(f822(f318(x90422),f579(x90423,x90424,x90422,x90421)),x90424))
% 218.59/218.72 [9310]~P10(x93102,x93103,x93104)+~P144(f822(f60(x93102),x93103))+~P144(f822(f822(f276(a885),x93101),f822(f34(x93102),f467(x93101,x93104,x93103,x93102))))+P144(f822(f822(f276(a885),x93101),f822(f34(x93102),x93103)))
% 218.59/218.72 [9541]~P144(f822(f822(f276(a885),x95411),x95413))+~P144(f822(f822(f276(a885),x95411),x95412))+~P144(f822(f822(f276(a885),x95414),x95413))+~P144(f822(f822(f227(f892(a885,a882)),f279(a885,f276(a885),x95411,x95413)),f279(a885,f276(a885),x95412,x95414)))
% 218.59/218.72 [9546]~P144(f822(f822(f226(a1),x95464),f2(a1)))+P144(f822(f822(f226(a1),f822(f822(f79(a1),f822(f822(f80(a1),x95461),f44(a1,x95462,x95463))),x95464)),f2(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x95463))+~P144(f822(f822(f227(a1),x95461),x95464))
% 218.59/218.72 [9976]~P144(f822(f60(x99761),x99762))+~P144(f822(f822(f318(x99761),x99764),x99762))+~P144(f822(f822(f318(x99761),x99763),x99762))+P144(f822(f822(f227(a885),f822(f34(x99761),f822(f822(f3(f892(x99761,a882)),f822(f822(f3(f892(x99761,a882)),x99762),f822(f822(f298(x99761),x99763),f182(f892(x99761,a882))))),f822(f822(f298(x99761),x99764),f182(f892(x99761,a882)))))),f822(f34(x99761),x99762)))
% 218.59/218.72 [6935]~P143(x69353)+~P120(x69353)+P144(f822(x69351,f844(x69352,x69351,x69353)))+~P144(f822(x69351,f822(f822(f80(x69353),x69352),x69354)))
% 218.59/218.72 [6996]~P92(x69961)+~P144(f822(f822(f227(x69961),x69962),x69964))+~P144(f822(f822(f227(x69961),x69962),x69963))+P144(f822(f822(f227(x69961),x69962),f822(f822(f230(x69961),x69963),x69964)))
% 218.59/218.72 [6999]~P92(x69991)+~P144(f822(f822(f226(x69991),x69992),x69994))+~P144(f822(f822(f226(x69991),x69992),x69993))+P144(f822(f822(f226(x69991),x69992),f822(f822(f230(x69991),x69993),x69994)))
% 218.59/218.72 [7002]~P105(x70021)+~P144(f822(f822(f226(x70021),x70022),x70024))+~P144(f822(f822(f226(x70021),x70022),x70023))+P144(f822(f822(f226(x70021),x70022),f822(f822(f97(x70021),x70023),x70024)))
% 218.59/218.72 [7003]~P112(x70031)+~P144(f822(f822(f276(x70031),x70032),x70034))+~P144(f822(f822(f276(x70031),x70032),x70033))+P144(f822(f822(f276(x70031),x70032),f822(f822(f79(x70031),x70033),x70034)))
% 218.59/218.72 [7004]~P114(x70041)+~P144(f822(f822(f276(x70041),x70042),x70044))+~P144(f822(f822(f276(x70041),x70042),x70043))+P144(f822(f822(f276(x70041),x70042),f822(f822(f3(x70041),x70043),x70044)))
% 218.59/218.72 [7024]~P65(x70242)+E(x70241,f2(x70242))+E(f822(f822(f280(x70242),f822(f822(f235(x70242),x70241),x70243)),f822(f822(f235(x70242),x70241),x70244)),f822(f822(f235(x70242),x70241),f822(f822(f3(a885),x70243),x70244)))+~P144(f822(f822(f226(a885),x70244),x70243))
% 218.59/218.72 [7071]~P92(x70711)+~P15(x70711,f822(f822(f143(x70711),x70713),x70714))+P15(x70711,f822(f822(f143(x70711),x70712),f822(f822(f143(x70711),x70713),x70714)))+~P144(f822(f822(f226(x70711),x70712),x70713))
% 218.59/218.72 [7107]~P90(x71071)+~P144(f822(f822(f227(x71071),f2(x71071)),x71073))+~P144(f822(f822(f227(x71071),x71072),x71074))+P144(f822(f822(f227(x71071),x71072),f822(f822(f79(x71071),x71073),x71074)))
% 218.59/218.72 [7108]~P86(x71081)+~P144(f822(f822(f226(x71081),f2(x71081)),x71083))+~P144(f822(f822(f227(x71081),x71082),x71084))+P144(f822(f822(f227(x71081),x71082),f822(f822(f79(x71081),x71083),x71084)))
% 218.59/218.72 [7109]~P86(x71091)+~P144(f822(f822(f226(x71091),x71092),x71094))+~P144(f822(f822(f227(x71091),f2(x71091)),x71093))+P144(f822(f822(f227(x71091),x71092),f822(f822(f79(x71091),x71093),x71094)))
% 218.59/218.72 [7110]~P86(x71101)+~P144(f822(f822(f226(x71101),f2(x71101)),x71104))+~P144(f822(f822(f226(x71101),x71102),x71103))+P144(f822(f822(f226(x71101),x71102),f822(f822(f79(x71101),x71103),x71104)))
% 218.59/218.72 [7111]~P86(x71111)+~P144(f822(f822(f226(x71111),f2(x71111)),x71113))+~P144(f822(f822(f226(x71111),x71112),x71114))+P144(f822(f822(f226(x71111),x71112),f822(f822(f79(x71111),x71113),x71114)))
% 218.59/218.72 [7152]~P92(x71521)+P144(f822(f822(f227(x71521),x71522),x71523))+P144(f822(f822(f227(x71521),x71522),x71524))+~P144(f822(f822(f227(x71521),x71522),f822(f822(f181(x71521),x71524),x71523)))
% 218.59/218.72 [7153]~P92(x71531)+P144(f822(f822(f226(x71531),x71532),x71533))+P144(f822(f822(f226(x71531),x71532),x71534))+~P144(f822(f822(f226(x71531),x71532),f822(f822(f181(x71531),x71534),x71533)))
% 218.59/218.72 [7460]~P91(x74602)+~P63(x74601)+~P144(f822(f822(f227(f892(x74601,x74602)),x74603),x74604))+P144(f822(f822(f226(f892(x74601,x74602)),x74603),x74604))
% 218.59/218.72 [7834]~P67(x78341)+~P144(f822(f822(f227(x78341),x78344),f2(x78341)))+~P144(f822(f822(f227(x78341),x78343),f822(f822(f280(x78341),x78342),x78344)))+P144(f822(f822(f227(x78341),x78342),f822(f822(f80(x78341),x78343),x78344)))
% 218.59/218.72 [7835]~P67(x78351)+~P144(f822(f822(f227(x78351),x78354),f2(x78351)))+~P144(f822(f822(f227(x78351),x78353),f822(f822(f80(x78351),x78352),x78354)))+P144(f822(f822(f227(x78351),x78352),f822(f822(f280(x78351),x78353),x78354)))
% 218.59/218.72 [7836]~P67(x78361)+~P144(f822(f822(f227(x78361),x78364),f2(x78361)))+~P144(f822(f822(f226(x78361),x78363),f822(f822(f280(x78361),x78362),x78364)))+P144(f822(f822(f226(x78361),x78362),f822(f822(f80(x78361),x78363),x78364)))
% 218.59/218.72 [7837]~P67(x78371)+~P144(f822(f822(f227(x78371),x78374),f2(x78371)))+~P144(f822(f822(f226(x78371),x78373),f822(f822(f80(x78371),x78372),x78374)))+P144(f822(f822(f226(x78371),x78372),f822(f822(f280(x78371),x78373),x78374)))
% 218.59/218.72 [7951]~P126(x79511)+~P144(f822(f822(f227(x79511),x79513),f2(x79511)))+~P144(f822(f822(f227(x79511),x79514),x79512))+P144(f822(f822(f227(x79511),f822(f822(f80(x79511),x79512),x79513)),f822(f822(f80(x79511),x79514),x79513)))
% 218.59/218.72 [7952]~P126(x79521)+~P144(f822(f822(f227(x79521),x79522),f2(x79521)))+~P144(f822(f822(f227(x79521),x79524),x79523))+P144(f822(f822(f227(x79521),f822(f822(f80(x79521),x79522),x79523)),f822(f822(f80(x79521),x79522),x79524)))
% 218.59/218.72 [7953]~P67(x79531)+~P144(f822(f822(f227(x79531),x79533),f2(x79531)))+~P144(f822(f822(f227(x79531),x79534),x79532))+P144(f822(f822(f227(x79531),f822(f822(f280(x79531),x79532),x79533)),f822(f822(f280(x79531),x79534),x79533)))
% 218.59/218.72 [7954]~P126(x79541)+~P144(f822(f822(f227(x79541),x79542),f2(x79541)))+~P144(f822(f822(f226(x79541),x79544),x79543))+P144(f822(f822(f226(x79541),f822(f822(f80(x79541),x79542),x79543)),f822(f822(f80(x79541),x79542),x79544)))
% 218.59/218.72 [7955]~P136(x79551)+~P144(f822(f822(f226(x79551),x79552),f2(x79551)))+~P144(f822(f822(f226(x79551),x79554),x79553))+P144(f822(f822(f226(x79551),f822(f822(f80(x79551),x79552),x79553)),f822(f822(f80(x79551),x79552),x79554)))
% 218.59/218.72 [7956]~P136(x79561)+~P144(f822(f822(f226(x79561),x79563),f2(x79561)))+~P144(f822(f822(f226(x79561),x79564),x79562))+P144(f822(f822(f226(x79561),f822(f822(f80(x79561),x79562),x79563)),f822(f822(f80(x79561),x79564),x79563)))
% 218.59/218.72 [7957]~P66(x79571)+~P144(f822(f822(f226(x79571),x79573),f2(x79571)))+~P144(f822(f822(f226(x79571),x79574),x79572))+P144(f822(f822(f226(x79571),f822(f822(f280(x79571),x79572),x79573)),f822(f822(f280(x79571),x79574),x79573)))
% 218.59/218.72 [7959]~P90(x79591)+~P144(f822(f822(f227(x79591),f77(x79591)),x79592))+~P144(f822(f822(f227(a885),x79593),x79594))+P144(f822(f822(f227(x79591),f822(f822(f235(x79591),x79592),x79593)),f822(f822(f235(x79591),x79592),x79594)))
% 218.59/218.72 [7960]~P90(x79601)+~P144(f822(f822(f227(x79601),f77(x79601)),x79602))+~P144(f822(f822(f226(a885),x79603),x79604))+P144(f822(f822(f226(x79601),f822(f822(f235(x79601),x79602),x79603)),f822(f822(f235(x79601),x79602),x79604)))
% 218.59/218.72 [7961]~P90(x79611)+~P144(f822(f822(f226(x79611),f77(x79611)),x79612))+~P144(f822(f822(f226(a885),x79613),x79614))+P144(f822(f822(f226(x79611),f822(f822(f235(x79611),x79612),x79613)),f822(f822(f235(x79611),x79612),x79614)))
% 218.59/218.72 [7987]P144(f822(f822(f227(a885),f2(a885)),f822(x79871,x79872)))+~P144(f822(f60(x79873),x79874))+~P144(f822(f822(f318(x79873),x79872),x79874))+~P144(f822(f822(f227(a885),f2(a885)),f822(f822(f11(x79873,a885),x79871),x79874)))
% 218.59/218.72 [8000]~P131(x80001)+~P144(f822(f822(f227(x80001),x80003),x80004))+~P144(f822(f822(f227(x80001),f2(x80001)),x80002))+P144(f822(f822(f227(x80001),f822(f822(f80(x80001),x80002),x80003)),f822(f822(f80(x80001),x80002),x80004)))
% 218.59/218.72 [8001]~P123(x80011)+~P144(f822(f822(f227(x80011),x80013),x80014))+~P144(f822(f822(f227(x80011),f2(x80011)),x80012))+P144(f822(f822(f227(x80011),f822(f822(f80(x80011),x80012),x80013)),f822(f822(f80(x80011),x80012),x80014)))
% 218.59/218.72 [8002]~P126(x80021)+~P144(f822(f822(f227(x80021),x80022),x80024))+~P144(f822(f822(f227(x80021),f2(x80021)),x80023))+P144(f822(f822(f227(x80021),f822(f822(f80(x80021),x80022),x80023)),f822(f822(f80(x80021),x80024),x80023)))
% 218.59/218.72 [8003]~P131(x80031)+~P144(f822(f822(f227(x80031),x80032),x80034))+~P144(f822(f822(f227(x80031),f2(x80031)),x80033))+P144(f822(f822(f227(x80031),f822(f822(f80(x80031),x80032),x80033)),f822(f822(f80(x80031),x80034),x80033)))
% 218.59/218.72 [8004]~P126(x80041)+~P144(f822(f822(f227(x80041),x80043),x80044))+~P144(f822(f822(f227(x80041),f2(x80041)),x80042))+P144(f822(f822(f227(x80041),f822(f822(f80(x80041),x80042),x80043)),f822(f822(f80(x80041),x80042),x80044)))
% 218.59/218.72 [8005]~P67(x80051)+~P144(f822(f822(f227(x80051),x80052),x80054))+~P144(f822(f822(f227(x80051),f2(x80051)),x80053))+P144(f822(f822(f227(x80051),f822(f822(f280(x80051),x80052),x80053)),f822(f822(f280(x80051),x80054),x80053)))
% 218.59/218.72 [8006]~P126(x80061)+~P144(f822(f822(f227(x80061),f2(x80061)),x80062))+~P144(f822(f822(f226(x80061),x80063),x80064))+P144(f822(f822(f226(x80061),f822(f822(f80(x80061),x80062),x80063)),f822(f822(f80(x80061),x80062),x80064)))
% 218.59/218.72 [8007]~P138(x80071)+~P144(f822(f822(f226(x80071),x80073),x80074))+~P144(f822(f822(f226(x80071),f2(x80071)),x80072))+P144(f822(f822(f226(x80071),f822(f822(f80(x80071),x80072),x80073)),f822(f822(f80(x80071),x80072),x80074)))
% 218.59/218.72 [8008]~P137(x80081)+~P144(f822(f822(f226(x80081),x80083),x80084))+~P144(f822(f822(f226(x80081),f2(x80081)),x80082))+P144(f822(f822(f226(x80081),f822(f822(f80(x80081),x80082),x80083)),f822(f822(f80(x80081),x80082),x80084)))
% 218.59/218.72 [8009]~P138(x80091)+~P144(f822(f822(f226(x80091),x80092),x80094))+~P144(f822(f822(f226(x80091),f2(x80091)),x80093))+P144(f822(f822(f226(x80091),f822(f822(f80(x80091),x80092),x80093)),f822(f822(f80(x80091),x80094),x80093)))
% 218.59/218.72 [8010]~P90(x80101)+~P144(f822(f822(f226(x80101),x80102),x80104))+~P144(f822(f822(f226(x80101),f2(x80101)),x80102))+P144(f822(f822(f226(x80101),f822(f822(f235(x80101),x80102),x80103)),f822(f822(f235(x80101),x80104),x80103)))
% 218.59/218.72 [8011]~P66(x80111)+~P144(f822(f822(f226(x80111),x80112),x80114))+~P144(f822(f822(f226(x80111),f2(x80111)),x80113))+P144(f822(f822(f226(x80111),f822(f822(f280(x80111),x80112),x80113)),f822(f822(f280(x80111),x80114),x80113)))
% 218.59/218.72 [8051]~P109(x80512)+P144(f822(f822(f226(f892(x80511,x80512)),x80514),x80513))+~P144(f822(f822(f226(f892(x80511,x80512)),x80513),x80514))+P144(f822(f822(f227(f892(x80511,x80512)),x80513),x80514))
% 218.59/218.72 [8094]P144(f822(f822(f318(x80941),x80942),x80943))+P144(f822(f822(f318(x80941),x80942),x80944))+~P144(f822(f822(f226(f892(x80941,a882)),x80944),x80943))+P144(f822(f822(f227(f892(x80941,a882)),x80944),f822(f822(f298(x80941),x80942),x80943)))
% 218.59/218.72 [8205]~P119(x82052)+E(x82051,f2(x82052))+P144(f822(f822(f276(x82052),x82053),x82054))+~P144(f822(f822(f276(x82052),f822(f822(f80(x82052),x82053),x82051)),f822(f822(f80(x82052),x82054),x82051)))
% 218.59/218.72 [8206]~P119(x82062)+E(x82061,f2(x82062))+P144(f822(f822(f276(x82062),x82063),x82064))+~P144(f822(f822(f276(x82062),f822(f822(f80(x82062),x82061),x82063)),f822(f822(f80(x82062),x82061),x82064)))
% 218.59/218.72 [8254]P144(f822(f822(f318(x82541),x82542),x82543))+P144(f822(f822(f318(x82541),x82542),x82544))+~P144(f822(f822(f227(f892(x82541,a882)),x82544),f822(f822(f298(x82541),x82542),x82543)))+P144(f822(f822(f226(f892(x82541,a882)),x82544),x82543))
% 218.59/218.72 [8319]~P126(x83191)+P144(f822(f822(f227(x83191),x83193),x83192))+P144(f822(f822(f227(x83191),x83192),x83193))+~P144(f822(f822(f227(x83191),f822(f822(f80(x83191),x83194),x83192)),f822(f822(f80(x83191),x83194),x83193)))
% 218.59/218.72 [8320]~P126(x83201)+P144(f822(f822(f227(x83201),x83203),x83202))+P144(f822(f822(f227(x83201),x83202),x83203))+~P144(f822(f822(f227(x83201),f822(f822(f80(x83201),x83202),x83204)),f822(f822(f80(x83201),x83203),x83204)))
% 218.59/218.72 [8331]~P126(x83311)+P144(f822(f822(f227(x83311),x83314),f2(x83311)))+P144(f822(f822(f227(x83311),x83312),x83313))+~P144(f822(f822(f227(x83311),f822(f822(f80(x83311),x83312),x83314)),f822(f822(f80(x83311),x83313),x83314)))
% 218.59/218.72 [8332]~P126(x83321)+P144(f822(f822(f227(x83321),x83324),f2(x83321)))+P144(f822(f822(f227(x83321),x83322),x83323))+~P144(f822(f822(f227(x83321),f822(f822(f80(x83321),x83324),x83322)),f822(f822(f80(x83321),x83324),x83323)))
% 218.59/218.72 [8335]~P126(x83351)+P144(f822(f822(f227(x83351),x83352),x83353))+P144(f822(f822(f227(x83351),f2(x83351)),x83354))+~P144(f822(f822(f227(x83351),f822(f822(f80(x83351),x83354),x83353)),f822(f822(f80(x83351),x83354),x83352)))
% 218.59/218.72 [8336]~P126(x83361)+P144(f822(f822(f227(x83361),x83362),x83363))+P144(f822(f822(f227(x83361),f2(x83361)),x83364))+~P144(f822(f822(f227(x83361),f822(f822(f80(x83361),x83363),x83364)),f822(f822(f80(x83361),x83362),x83364)))
% 218.59/218.72 [8349]~P126(x83491)+P144(f822(f822(f227(x83491),x83492),f2(x83491)))+P144(f822(f822(f227(x83491),f2(x83491)),x83492))+~P144(f822(f822(f227(x83491),f822(f822(f80(x83491),x83493),x83492)),f822(f822(f80(x83491),x83494),x83492)))
% 218.59/218.72 [8350]~P126(x83501)+P144(f822(f822(f227(x83501),x83502),f2(x83501)))+P144(f822(f822(f227(x83501),f2(x83501)),x83502))+~P144(f822(f822(f227(x83501),f822(f822(f80(x83501),x83502),x83503)),f822(f822(f80(x83501),x83502),x83504)))
% 218.59/218.72 [8378]~P126(x83781)+~P144(f822(f822(f227(x83781),x83784),f2(x83781)))+P144(f822(f822(f227(x83781),x83782),x83783))+~P144(f822(f822(f227(x83781),f822(f822(f80(x83781),x83784),x83783)),f822(f822(f80(x83781),x83784),x83782)))
% 218.59/218.72 [8379]~P126(x83791)+~P144(f822(f822(f227(x83791),x83794),f2(x83791)))+P144(f822(f822(f226(x83791),x83792),x83793))+~P144(f822(f822(f226(x83791),f822(f822(f80(x83791),x83794),x83793)),f822(f822(f80(x83791),x83794),x83792)))
% 218.59/218.72 [8390]~P90(x83903)+~P144(f822(f822(f227(x83903),f77(x83903)),x83904))+P144(f822(f822(f227(a885),x83901),x83902))+~P144(f822(f822(f227(x83903),f822(f822(f235(x83903),x83904),x83901)),f822(f822(f235(x83903),x83904),x83902)))
% 218.59/218.72 [8392]~P90(x83923)+~P144(f822(f822(f227(x83923),f77(x83923)),x83924))+P144(f822(f822(f226(a885),x83921),x83922))+~P144(f822(f822(f226(x83923),f822(f822(f235(x83923),x83924),x83921)),f822(f822(f235(x83923),x83924),x83922)))
% 218.59/218.72 [8402]~P126(x84021)+P144(f822(f822(f227(x84021),x84022),x84023))+~P144(f822(f822(f227(x84021),f2(x84021)),x84024))+~P144(f822(f822(f227(x84021),f822(f822(f80(x84021),x84024),x84022)),f822(f822(f80(x84021),x84024),x84023)))
% 218.59/218.72 [8403]~P131(x84031)+P144(f822(f822(f227(x84031),x84032),x84033))+~P144(f822(f822(f226(x84031),f2(x84031)),x84034))+~P144(f822(f822(f227(x84031),f822(f822(f80(x84031),x84034),x84032)),f822(f822(f80(x84031),x84034),x84033)))
% 218.59/218.72 [8404]~P133(x84041)+P144(f822(f822(f227(x84041),x84042),x84043))+~P144(f822(f822(f226(x84041),f2(x84041)),x84044))+~P144(f822(f822(f227(x84041),f822(f822(f80(x84041),x84044),x84042)),f822(f822(f80(x84041),x84044),x84043)))
% 218.59/218.72 [8405]~P90(x84051)+~P144(f822(f822(f226(x84051),f2(x84051)),x84053))+P144(f822(f822(f227(x84051),x84052),x84053))+~P144(f822(f822(f227(x84051),f822(f822(f235(x84051),x84052),x84054)),f822(f822(f235(x84051),x84053),x84054)))
% 218.59/218.72 [8406]~P131(x84061)+P144(f822(f822(f227(x84061),x84062),x84063))+~P144(f822(f822(f226(x84061),f2(x84061)),x84064))+~P144(f822(f822(f227(x84061),f822(f822(f80(x84061),x84062),x84064)),f822(f822(f80(x84061),x84063),x84064)))
% 218.59/218.72 [8407]~P133(x84071)+P144(f822(f822(f227(x84071),x84072),x84073))+~P144(f822(f822(f226(x84071),f2(x84071)),x84074))+~P144(f822(f822(f227(x84071),f822(f822(f80(x84071),x84072),x84074)),f822(f822(f80(x84071),x84073),x84074)))
% 218.59/218.72 [8408]~P126(x84081)+P144(f822(f822(f226(x84081),x84082),x84083))+~P144(f822(f822(f227(x84081),f2(x84081)),x84084))+~P144(f822(f822(f226(x84081),f822(f822(f80(x84081),x84084),x84082)),f822(f822(f80(x84081),x84084),x84083)))
% 218.59/218.72 [8409]~P131(x84091)+P144(f822(f822(f226(x84091),x84092),x84093))+~P144(f822(f822(f227(x84091),f2(x84091)),x84094))+~P144(f822(f822(f226(x84091),f822(f822(f80(x84091),x84094),x84092)),f822(f822(f80(x84091),x84094),x84093)))
% 218.59/218.72 [8410]~P131(x84101)+P144(f822(f822(f226(x84101),x84102),x84103))+~P144(f822(f822(f227(x84101),f2(x84101)),x84104))+~P144(f822(f822(f226(x84101),f822(f822(f80(x84101),x84102),x84104)),f822(f822(f80(x84101),x84103),x84104)))
% 218.59/218.72 [8451]P144(f822(f822(f318(x84511),x84512),x84513))+~P144(f822(f822(f226(f892(x84511,a882)),x84513),x84514))+~P144(f822(f822(f227(f892(x84511,a882)),x84513),x84514))+P144(f822(f822(f227(f892(x84511,a882)),x84513),f822(f822(f298(x84511),x84512),x84514)))
% 218.59/218.72 [8481]~P143(x84811)+~P120(x84811)+P144(f822(f822(f276(x84811),x84812),f822(f822(f79(x84811),f844(x84812,x84813,x84811)),f2(x84811))))+~P144(f822(x84813,f822(f822(f80(x84811),x84812),x84814)))
% 218.59/218.72 [8808]E(f822(f822(f3(a1),f875(x88081,x88082,x88083,x88084)),f876(x88081,x88082,x88083,x88084)),x88084)+~P144(f822(f822(f227(a1),f2(a1)),x88083))+~P144(f822(f822(f226(a1),x88081),x88084))+P144(f822(f822(f226(a1),x88081),f822(f822(f79(a1),x88084),x88083)))
% 218.59/218.72 [8809]E(f822(f822(f3(a1),f326(x88091,x88092,x88093,x88094)),f327(x88091,x88092,x88093,x88094)),x88094)+~P144(f822(f822(f227(a1),f2(a1)),x88093))+~P144(f822(f822(f227(a1),x88091),x88094))+P144(f822(f822(f227(a1),x88091),f822(f822(f79(a1),x88094),x88093)))
% 218.59/218.72 [8952]~E(f822(f822(f156(x89521),x89523),f709(x89524,x89523,x89521,x89522)),f822(f822(f156(x89521),x89524),f709(x89524,x89523,x89521,x89522)))+E(f822(f822(f167(x89521),x89522),x89523),f822(f822(f167(x89521),x89522),x89524))+~P144(f822(f822(f226(a885),x89522),f822(f183(f887(x89521)),x89523)))+~P144(f822(f822(f226(a885),x89522),f822(f183(f887(x89521)),x89524)))
% 218.59/218.72 [9011]~P144(f822(f822(f227(a1),f2(a1)),x90113))+~P144(f822(f822(f226(a1),x90111),x90114))+P144(f822(f822(f318(a1),f875(x90111,x90112,x90113,x90114)),x90112))+P144(f822(f822(f226(a1),x90111),f822(f822(f79(a1),x90114),x90113)))
% 218.59/218.72 [9012]~P144(f822(f822(f227(a1),f2(a1)),x90123))+~P144(f822(f822(f227(a1),x90121),x90124))+P144(f822(f822(f318(a1),f326(x90121,x90122,x90123,x90124)),x90122))+P144(f822(f822(f227(a1),x90121),f822(f822(f79(a1),x90124),x90123)))
% 218.59/218.72 [9051]~P92(x90511)+~P144(f822(f60(x90511),x90513))+~P144(f822(f822(f318(x90511),x90514),x90513))+P144(f822(f822(f226(x90511),f822(f822(f63(x90511,x90511,f230(x90511)),x90512),x90513)),f822(f822(f230(x90511),x90514),x90512)))
% 218.59/218.72 [9052]~P105(x90521)+~P144(f822(f60(x90521),x90523))+~P144(f822(f822(f318(x90521),x90524),x90523))+P144(f822(f822(f226(x90521),f822(f822(f63(x90521,x90521,f97(x90521)),x90522),x90523)),f822(f822(f97(x90521),x90524),x90522)))
% 218.59/218.72 [9059]~P10(x90592,x90593,x90594)+~P144(f822(f60(x90592),x90593))+P144(f822(f822(f276(a885),x90591),f822(f34(x90592),x90593)))+P144(f822(f822(f318(f892(x90592,a882)),f467(x90591,x90594,x90593,x90592)),f822(f822(f59(x90592),x90593),x90594)))
% 218.59/218.72 [9097]E(f822(f822(f167(x90971),x90972),x90973),f822(f822(f167(x90971),x90972),x90974))+P144(f822(f822(f227(a885),f709(x90973,x90974,x90971,x90972)),x90972))+~P144(f822(f822(f226(a885),x90972),f822(f183(f887(x90971)),x90973)))+~P144(f822(f822(f226(a885),x90972),f822(f183(f887(x90971)),x90974)))
% 218.59/218.72 [9102]~P144(f822(f822(f227(a1),f2(a1)),x91023))+~P144(f822(f822(f227(a1),x91021),x91022))+P144(f822(f822(f318(a1),f327(x91021,x91024,x91023,x91022)),f292(a1,f77(a1),x91023)))+P144(f822(f822(f227(a1),x91021),f822(f822(f79(a1),x91022),x91023)))
% 218.59/218.72 [9103]~P144(f822(f822(f227(a1),f2(a1)),x91033))+~P144(f822(f822(f226(a1),x91031),x91032))+P144(f822(f822(f318(a1),f876(x91031,x91034,x91033,x91032)),f292(a1,f77(a1),x91033)))+P144(f822(f822(f226(a1),x91031),f822(f822(f79(a1),x91032),x91033)))
% 218.59/218.72 [9428]~P92(x94281)+~P144(f822(f60(x94281),x94284))+P144(f822(f822(f318(x94281),f637(x94282,x94283,x94284,x94281)),x94284))+P144(f822(f822(f226(x94281),f822(f822(f63(x94281,x94281,f181(x94281)),x94282),x94284)),f822(f822(f181(x94281),x94283),x94282)))
% 218.59/218.72 [9429]~P99(x94291)+~P144(f822(f60(x94291),x94294))+P144(f822(f822(f318(x94291),f648(x94292,x94293,x94294,x94291)),x94294))+P144(f822(f822(f226(x94291),f822(f822(f63(x94291,x94291,f96(x94291)),x94292),x94294)),f822(f822(f96(x94291),x94293),x94292)))
% 218.59/218.72 [9561]~P92(x95611)+~P144(f822(f60(x95611),x95613))+~P144(f822(f822(f226(x95611),f637(x95612,x95614,x95613,x95611)),x95614))+P144(f822(f822(f226(x95611),f822(f822(f63(x95611,x95611,f181(x95611)),x95612),x95613)),f822(f822(f181(x95611),x95614),x95612)))
% 218.59/218.72 [9562]~P99(x95621)+~P144(f822(f60(x95621),x95623))+~P144(f822(f822(f226(x95621),f648(x95622,x95624,x95623,x95621)),x95624))+P144(f822(f822(f226(x95621),f822(f822(f63(x95621,x95621,f96(x95621)),x95622),x95623)),f822(f822(f96(x95621),x95624),x95622)))
% 218.59/218.72 [9564]~P144(f822(f822(f227(a1),f2(a1)),x95643))+~P144(f822(f822(f226(a1),f2(a1)),x95644))+~P144(f822(f822(f227(a1),x95644),x95641))+P144(f822(f822(f227(a1),f822(f822(f79(a1),f822(f822(f80(a1),x95641),f44(a1,x95642,x95643))),x95644)),f822(f822(f80(a1),x95641),x95643)))
% 218.59/218.72 [9843]~P91(x98431)+P144(f822(f822(f227(x98431),f822(x98432,x98433)),f822(x98432,x98434)))+~P144(f822(f822(f227(a885),x98433),x98434))+~P144(f822(f822(f227(x98431),f822(x98432,f412(x98434,x98433,x98432,x98431))),f822(x98432,f822(a107,f412(x98434,x98433,x98432,x98431)))))
% 218.59/218.72 [9844]~P91(x98441)+P144(f822(f822(f227(x98441),f822(x98442,x98443)),f822(x98442,x98444)))+~P144(f822(f822(f227(a885),x98443),x98444))+~P144(f822(f822(f227(x98441),f822(x98442,f403(x98444,x98443,x98442,x98441))),f822(x98442,f822(a107,f403(x98444,x98443,x98442,x98441)))))
% 218.59/218.72 [9845]~P91(x98453)+~P144(f822(f822(f227(x98453),f822(x98454,x98451)),f822(x98454,x98452)))+P144(f822(f822(f227(a885),x98451),x98452))+~P144(f822(f822(f227(x98453),f822(x98454,f412(x98452,x98451,x98454,x98453))),f822(x98454,f822(a107,f412(x98452,x98451,x98454,x98453)))))
% 218.59/218.72 [9948]E(x99481,x99482)+P144(f822(f822(f318(f891(f887(x99483),f887(x99483))),f822(f822(f243(f887(x99483),f887(x99483)),x99482),x99481)),f139(x99483,x99484)))+P144(f822(f822(f318(f891(f887(x99483),f887(x99483))),f822(f822(f243(f887(x99483),f887(x99483)),x99481),x99482)),f139(x99483,x99484)))+~P144(f822(f822(f318(f891(x99483,x99483)),f822(f822(f243(x99483,x99483),f673(x99481,x99482,x99484,x99483)),f674(x99481,x99482,x99484,x99483))),x99484))
% 218.59/218.72 [9949]E(x99491,x99492)+P144(f822(f822(f318(f891(f887(x99493),f887(x99493))),f822(f822(f243(f887(x99493),f887(x99493)),x99492),x99491)),f139(x99493,x99494)))+P144(f822(f822(f318(f891(f887(x99493),f887(x99493))),f822(f822(f243(f887(x99493),f887(x99493)),x99491),x99492)),f139(x99493,x99494)))+~P144(f822(f822(f318(f891(x99493,x99493)),f822(f822(f243(x99493,x99493),f674(x99491,x99492,x99494,x99493)),f673(x99491,x99492,x99494,x99493))),x99494))
% 218.59/218.72 [7531]~P92(x75311)+~P144(f822(f822(f227(x75311),x75313),x75314))+~P144(f822(f822(f227(x75311),x75312),x75314))+P144(f822(f822(f227(x75311),f822(f822(f181(x75311),x75312),x75313)),x75314))
% 218.59/218.72 [7534]~P92(x75341)+~P144(f822(f822(f226(x75341),x75343),x75344))+~P144(f822(f822(f226(x75341),x75342),x75344))+P144(f822(f822(f226(x75341),f822(f822(f181(x75341),x75342),x75343)),x75344))
% 218.59/218.72 [7537]~P99(x75371)+~P144(f822(f822(f226(x75371),x75373),x75374))+~P144(f822(f822(f226(x75371),x75372),x75374))+P144(f822(f822(f226(x75371),f822(f822(f96(x75371),x75372),x75373)),x75374))
% 218.59/218.72 [7777]~P5(x77771)+E(f822(f822(f79(x77771),f822(f822(f35(x77771),x77772),x77773)),f822(f822(f35(x77771),x77774),x77773)),f822(f822(f35(x77771),f822(f822(f79(x77771),x77772),x77774)),x77773))+~P144(f822(f822(f276(x77771),x77773),x77774))+~P144(f822(f822(f276(x77771),x77773),x77772))
% 218.59/218.72 [7859]~E(x78591,x78593)+E(f131(a885,f822(f291(a885,x78591),x78592)),f822(f822(f143(a885),x78593),x78594))+~E(f131(a885,f822(f291(a885,f822(f822(f79(a885),x78591),f77(a885))),x78592)),x78594)+~P144(f822(f822(f227(a885),x78591),x78592))
% 218.59/218.72 [7867]~P92(x78671)+P144(f822(f822(f227(x78671),x78672),x78673))+P144(f822(f822(f227(x78671),x78674),x78673))+~P144(f822(f822(f227(x78671),f822(f822(f230(x78671),x78674),x78672)),x78673))
% 218.59/218.72 [7868]~P92(x78681)+P144(f822(f822(f226(x78681),x78682),x78683))+P144(f822(f822(f226(x78681),x78684),x78683))+~P144(f822(f822(f226(x78681),f822(f822(f230(x78681),x78684),x78682)),x78683))
% 218.59/218.72 [8150]~P66(x81501)+~P144(f822(f822(f227(x81501),f2(x81501)),x81503))+~P144(f822(f822(f227(x81501),x81502),f822(f822(f280(x81501),x81504),x81503)))+P144(f822(f822(f227(x81501),f822(f822(f80(x81501),x81502),x81503)),x81504))
% 218.59/218.72 [8151]~P67(x81511)+~P144(f822(f822(f227(x81511),f2(x81511)),x81513))+~P144(f822(f822(f227(x81511),x81512),f822(f822(f280(x81511),x81514),x81513)))+P144(f822(f822(f227(x81511),f822(f822(f80(x81511),x81512),x81513)),x81514))
% 218.59/218.72 [8152]~P66(x81521)+~P144(f822(f822(f227(x81521),f2(x81521)),x81523))+~P144(f822(f822(f227(x81521),x81522),f822(f822(f80(x81521),x81524),x81523)))+P144(f822(f822(f227(x81521),f822(f822(f280(x81521),x81522),x81523)),x81524))
% 218.59/218.72 [8154]~P67(x81541)+~P144(f822(f822(f227(x81541),f2(x81541)),x81543))+~P144(f822(f822(f227(x81541),x81542),f822(f822(f80(x81541),x81544),x81543)))+P144(f822(f822(f227(x81541),f822(f822(f280(x81541),x81542),x81543)),x81544))
% 218.59/218.72 [8155]~P66(x81551)+~P144(f822(f822(f227(x81551),f2(x81551)),x81553))+~P144(f822(f822(f226(x81551),x81552),f822(f822(f280(x81551),x81554),x81553)))+P144(f822(f822(f226(x81551),f822(f822(f80(x81551),x81552),x81553)),x81554))
% 218.59/218.72 [8156]~P67(x81561)+~P144(f822(f822(f227(x81561),f2(x81561)),x81563))+~P144(f822(f822(f226(x81561),x81562),f822(f822(f280(x81561),x81564),x81563)))+P144(f822(f822(f226(x81561),f822(f822(f80(x81561),x81562),x81563)),x81564))
% 218.59/218.72 [8157]~P66(x81571)+~P144(f822(f822(f227(x81571),f2(x81571)),x81573))+~P144(f822(f822(f226(x81571),x81572),f822(f822(f80(x81571),x81574),x81573)))+P144(f822(f822(f226(x81571),f822(f822(f280(x81571),x81572),x81573)),x81574))
% 218.59/218.72 [8159]~P67(x81591)+~P144(f822(f822(f227(x81591),f2(x81591)),x81593))+~P144(f822(f822(f226(x81591),x81592),f822(f822(f80(x81591),x81594),x81593)))+P144(f822(f822(f226(x81591),f822(f822(f280(x81591),x81592),x81593)),x81594))
% 218.59/218.72 [8289]~P66(x82891)+~P144(f822(f822(f227(x82891),f2(x82891)),x82894))+P144(f822(f822(f227(x82891),x82892),f822(f822(f80(x82891),x82893),x82894)))+~P144(f822(f822(f227(x82891),f822(f822(f280(x82891),x82892),x82894)),x82893))
% 218.59/218.72 [8290]~P66(x82901)+~P144(f822(f822(f227(x82901),f2(x82901)),x82904))+P144(f822(f822(f227(x82901),x82902),f822(f822(f280(x82901),x82903),x82904)))+~P144(f822(f822(f227(x82901),f822(f822(f80(x82901),x82902),x82904)),x82903))
% 218.59/218.72 [8292]~P67(x82921)+~P144(f822(f822(f227(x82921),f2(x82921)),x82924))+P144(f822(f822(f227(x82921),x82922),f822(f822(f80(x82921),x82923),x82924)))+~P144(f822(f822(f227(x82921),f822(f822(f280(x82921),x82922),x82924)),x82923))
% 218.59/218.72 [8293]~P67(x82931)+~P144(f822(f822(f227(x82931),f2(x82931)),x82934))+P144(f822(f822(f227(x82931),x82932),f822(f822(f280(x82931),x82933),x82934)))+~P144(f822(f822(f227(x82931),f822(f822(f80(x82931),x82932),x82934)),x82933))
% 218.59/218.72 [8294]~P66(x82941)+~P144(f822(f822(f227(x82941),f2(x82941)),x82944))+P144(f822(f822(f226(x82941),x82942),f822(f822(f80(x82941),x82943),x82944)))+~P144(f822(f822(f226(x82941),f822(f822(f280(x82941),x82942),x82944)),x82943))
% 218.59/218.72 [8295]~P66(x82951)+~P144(f822(f822(f227(x82951),f2(x82951)),x82954))+P144(f822(f822(f226(x82951),x82952),f822(f822(f280(x82951),x82953),x82954)))+~P144(f822(f822(f226(x82951),f822(f822(f80(x82951),x82952),x82954)),x82953))
% 218.59/218.72 [8297]~P67(x82971)+~P144(f822(f822(f227(x82971),f2(x82971)),x82974))+P144(f822(f822(f226(x82971),x82972),f822(f822(f80(x82971),x82973),x82974)))+~P144(f822(f822(f226(x82971),f822(f822(f280(x82971),x82972),x82974)),x82973))
% 218.59/218.72 [8298]~P67(x82981)+~P144(f822(f822(f227(x82981),f2(x82981)),x82984))+P144(f822(f822(f226(x82981),x82982),f822(f822(f280(x82981),x82983),x82984)))+~P144(f822(f822(f226(x82981),f822(f822(f80(x82981),x82982),x82984)),x82983))
% 218.59/218.72 [8454]~P67(x84541)+~P144(f822(f822(f227(x84541),x84543),f2(x84541)))+~P144(f822(f822(f227(x84541),f822(f822(f280(x84541),x84544),x84543)),x84542))+P144(f822(f822(f227(x84541),f822(f822(f80(x84541),x84542),x84543)),x84544))
% 218.59/218.72 [8455]~P67(x84551)+~P144(f822(f822(f227(x84551),x84553),f2(x84551)))+~P144(f822(f822(f227(x84551),f822(f822(f80(x84551),x84554),x84553)),x84552))+P144(f822(f822(f227(x84551),f822(f822(f280(x84551),x84552),x84553)),x84554))
% 218.59/218.72 [8456]~P67(x84561)+~P144(f822(f822(f227(x84561),x84563),f2(x84561)))+~P144(f822(f822(f226(x84561),f822(f822(f280(x84561),x84564),x84563)),x84562))+P144(f822(f822(f226(x84561),f822(f822(f80(x84561),x84562),x84563)),x84564))
% 218.59/218.72 [8457]~P67(x84571)+~P144(f822(f822(f227(x84571),x84573),f2(x84571)))+~P144(f822(f822(f226(x84571),f822(f822(f80(x84571),x84574),x84573)),x84572))+P144(f822(f822(f226(x84571),f822(f822(f280(x84571),x84572),x84573)),x84574))
% 218.59/218.72 [8467]~P144(f822(x84671,x84674))+~P144(f822(f822(f227(a885),x84672),f822(f822(f80(a885),x84673),f822(a107,x84674))))+P144(f822(x84671,f822(f822(f35(a885),x84672),x84673)))+~P144(f822(f822(f226(a885),f822(f822(f80(a885),x84673),x84674)),x84672))
% 218.59/218.72 [8673]~P92(x86731)+~P144(f822(f60(x86731),x86734))+~P144(f822(f822(f318(x86731),x86732),x86734))+P144(f822(f822(f226(x86731),f822(f822(f181(x86731),x86732),x86733)),f822(f822(f63(x86731,x86731,f181(x86731)),x86733),x86734)))
% 218.59/218.72 [8674]~P99(x86741)+~P144(f822(f60(x86741),x86744))+~P144(f822(f822(f318(x86741),x86742),x86744))+P144(f822(f822(f226(x86741),f822(f822(f96(x86741),x86742),x86743)),f822(f822(f63(x86741,x86741,f96(x86741)),x86743),x86744)))
% 218.59/218.72 [8810]~P144(f822(f60(x88101),x88102))+E(f822(f34(x88101),f822(f822(f3(f892(x88101,a882)),x88102),f822(f822(f298(x88101),x88103),x88104))),f822(f822(f3(a885),f822(f34(x88101),f822(f822(f3(f892(x88101,a882)),x88102),x88104))),f77(a885)))+P144(f822(f822(f318(x88101),x88103),x88104))+~P144(f822(f822(f318(x88101),x88103),x88102))
% 218.59/218.72 [8882]E(f822(f822(f79(a1),f877(x88821,x88822,x88823,x88824)),f878(x88821,x88822,x88823,x88824)),x88824)+~P144(f822(f822(f227(a1),f2(a1)),x88823))+~P144(f822(f822(f226(a1),x88824),x88821))+P144(f822(f822(f226(a1),f822(f822(f3(a1),x88824),x88823)),x88821))
% 218.59/218.72 [8883]E(f822(f822(f79(a1),f328(x88831,x88832,x88833,x88834)),f329(x88831,x88832,x88833,x88834)),x88834)+~P144(f822(f822(f227(a1),f2(a1)),x88833))+~P144(f822(f822(f227(a1),x88834),x88831))+P144(f822(f822(f227(a1),f822(f822(f3(a1),x88834),x88833)),x88831))
% 218.59/218.72 [9082]~P144(f822(f822(f227(a1),f2(a1)),x90823))+~P144(f822(f822(f226(a1),x90824),x90821))+P144(f822(f822(f318(a1),f877(x90821,x90822,x90823,x90824)),x90822))+P144(f822(f822(f226(a1),f822(f822(f3(a1),x90824),x90823)),x90821))
% 218.59/218.72 [9083]~P144(f822(f822(f227(a1),f2(a1)),x90833))+~P144(f822(f822(f227(a1),x90834),x90831))+P144(f822(f822(f318(a1),f328(x90831,x90832,x90833,x90834)),x90832))+P144(f822(f822(f227(a1),f822(f822(f3(a1),x90834),x90833)),x90831))
% 218.59/218.72 [9168]~P144(f822(f822(f227(a1),f2(a1)),x91682))+~P144(f822(f822(f227(a1),x91681),x91683))+P144(f822(f822(f318(a1),f329(x91683,x91684,x91682,x91681)),f292(a1,f77(a1),x91682)))+P144(f822(f822(f227(a1),f822(f822(f3(a1),x91681),x91682)),x91683))
% 218.59/218.72 [9169]~P144(f822(f822(f227(a1),f2(a1)),x91692))+~P144(f822(f822(f226(a1),x91691),x91693))+P144(f822(f822(f318(a1),f878(x91693,x91694,x91692,x91691)),f292(a1,f77(a1),x91692)))+P144(f822(f822(f226(a1),f822(f822(f3(a1),x91691),x91692)),x91693))
% 218.59/218.72 [9196]~P144(f822(f822(f227(a1),f2(a1)),x91963))+~P144(f822(f822(f226(a1),f2(a1)),x91964))+~P144(f822(f822(f227(a1),x91964),x91961))+P144(f822(f822(f226(a1),f2(a1)),f822(f822(f79(a1),f822(f822(f80(a1),x91961),f44(a1,x91962,x91963))),x91964)))
% 218.59/218.72 [9226]E(x92261,x92262)+~P38(x92263,x92264)+~P144(f822(f822(f318(f891(x92263,x92263)),f822(f822(f243(x92263,x92263),x92262),x92261)),x92264))+~P144(f822(f822(f318(f891(x92263,x92263)),f822(f822(f243(x92263,x92263),x92261),x92262)),x92264))
% 218.59/218.72 [9259]~P92(x92591)+~P144(f822(f60(x92591),x92594))+~P144(f822(f822(f226(x92591),x92592),f636(x92593,x92592,x92594,x92591)))+P144(f822(f822(f226(x92591),f822(f822(f230(x92591),x92592),x92593)),f822(f822(f63(x92591,x92591,f230(x92591)),x92593),x92594)))
% 218.59/218.72 [9260]~P105(x92601)+~P144(f822(f60(x92601),x92604))+~P144(f822(f822(f226(x92601),x92602),f647(x92603,x92602,x92604,x92601)))+P144(f822(f822(f226(x92601),f822(f822(f97(x92601),x92602),x92603)),f822(f822(f63(x92601,x92601,f97(x92601)),x92603),x92604)))
% 218.59/218.72 [9276]~P144(f822(f822(f226(a1),x92764),f2(a1)))+~P144(f822(f822(f227(a1),f2(a1)),x92762))+~P144(f822(f822(f227(a1),x92761),x92764))+P144(f822(f822(f227(a1),f822(f822(f80(a1),x92761),x92762)),f822(f822(f79(a1),f822(f822(f80(a1),x92761),f44(a1,x92763,x92762))),x92764)))
% 218.59/218.72 [9298]P144(f822(f60(x92981),x92982))+~P144(f822(f60(x92981),x92983))+~P144(f822(f822(f318(f892(x92981,a882)),x92982),f822(f822(f59(x92981),x92983),x92984)))+~P144(f822(f822(f226(f892(f891(x92981,x92981),a882)),x92984),f822(f822(f245(x92981,x92981),x92983),f822(f18(f892(x92981,a882),x92981),x92983))))
% 218.59/218.72 [9322]~P92(x93221)+~P144(f822(f60(x93221),x93224))+P144(f822(f822(f318(x93221),f636(x93222,x93223,x93224,x93221)),x93224))+P144(f822(f822(f226(x93221),f822(f822(f230(x93221),x93223),x93222)),f822(f822(f63(x93221,x93221,f230(x93221)),x93222),x93224)))
% 218.59/218.72 [9323]~P105(x93231)+~P144(f822(f60(x93231),x93234))+P144(f822(f822(f318(x93231),f647(x93232,x93233,x93234,x93231)),x93234))+P144(f822(f822(f226(x93231),f822(f822(f97(x93231),x93233),x93232)),f822(f822(f63(x93231,x93231,f97(x93231)),x93232),x93234)))
% 218.59/218.72 [9725]~P144(f822(f60(x97252),x97254))+~P144(f822(f60(x97251),x97253))+~P144(f822(f822(f226(a885),f822(f34(x97252),x97254)),f822(f34(x97251),x97253)))+P144(f822(f822(f226(f892(x97251,a882)),f822(f299(x97252,x97251,f483(x97253,x97251,x97254,x97252)),x97254)),x97253))
% 218.59/218.72 [9369]~P144(f822(f822(f318(x93691),x93692),x93694))+P144(f822(f822(f318(x93691),x93692),x93693))+~P144(f822(f822(f227(f892(x93691,a882)),x93694),f822(f822(f298(x93691),x93692),x93693)))+P144(f822(f822(f227(f892(x93691,a882)),f822(f822(f3(f892(x93691,a882)),x93694),f822(f822(f298(x93691),x93692),f182(f892(x93691,a882))))),x93693))
% 218.59/218.72 [9543]~P144(f822(f822(f318(x95431),x95432),x95434))+P144(f822(f822(f318(x95431),x95432),x95433))+P144(f822(f822(f227(f892(x95431,a882)),x95434),f822(f822(f298(x95431),x95432),x95433)))+~P144(f822(f822(f227(f892(x95431,a882)),f822(f822(f3(f892(x95431,a882)),x95434),f822(f822(f298(x95431),x95432),f182(f892(x95431,a882))))),x95433))
% 218.59/218.72 [9567]P144(f822(f822(f318(x95671),x95672),x95673))+~P144(f822(f822(f226(f892(x95671,a882)),x95674),x95673))+P144(f822(f822(f227(f892(x95671,a882)),x95674),f822(f822(f298(x95671),x95672),x95673)))+~P144(f822(f822(f227(f892(x95671,a882)),f822(f822(f3(f892(x95671,a882)),x95674),f822(f822(f298(x95671),x95672),f182(f892(x95671,a882))))),x95673))
% 218.59/218.72 [9572]~P144(f822(f822(f318(x95721),x95723),x95722))+~P144(f822(f822(f227(f892(x95721,a882)),x95722),x95724))+P144(f822(f822(f227(f892(x95721,a882)),x95722),f822(f822(f298(x95721),x95723),x95724)))+~P144(f822(f822(f227(f892(x95721,a882)),f822(f822(f3(f892(x95721,a882)),x95722),f822(f822(f298(x95721),x95723),f182(f892(x95721,a882))))),x95724))
% 218.59/218.72 [9585]~P144(f822(f822(f226(f892(x95851,a882)),x95852),x95854))+~P144(f822(f822(f227(f892(x95851,a882)),x95852),x95854))+P144(f822(f822(f227(f892(x95851,a882)),x95852),f822(f822(f298(x95851),x95853),x95854)))+~P144(f822(f822(f227(f892(x95851,a882)),f822(f822(f3(f892(x95851,a882)),x95852),f822(f822(f298(x95851),x95853),f182(f892(x95851,a882))))),x95854))
% 218.59/218.72 [9628]~P91(x96282)+~P63(x96281)+~P144(f822(f822(f226(f892(x96281,x96282)),x96283),x96284))+P144(f822(f56(x96281),f822(f822(f20(x96281,x96282,a882),f822(f822(f10(x96282,f892(x96282,a882),x96281),f226(x96282)),x96283)),x96284)))
% 218.59/218.72 [9772]~P91(x97722)+~P63(x97721)+P144(f822(f822(f226(f892(x97721,x97722)),x97723),x97724))+~P144(f822(f56(x97721),f822(f822(f20(x97721,x97722,a882),f822(f822(f10(x97722,f892(x97722,a882),x97721),f226(x97722)),x97723)),x97724)))
% 218.59/218.72 [9939]E(f822(f822(f156(x99391),f822(f822(f156(f887(x99391)),f171(x99391,x99392)),x99393)),x99394),f822(f822(f156(x99391),f822(f822(f156(f887(x99391)),x99392),x99394)),x99393))+~P144(f822(f822(f227(a885),x99393),f822(f183(f887(f887(x99391))),f171(x99391,x99392))))+~P15(a885,f822(f160(a885),f822(f822(f146(f887(x99391),a885),f183(f887(x99391))),x99392)))+~P144(f822(f822(f227(a885),x99394),f822(f183(f887(f887(x99391))),f822(f128(f887(x99391),f822(f822(f10(a885,a882,f887(x99391)),f822(f227(a885),x99393)),f183(f887(x99391)))),x99392))))
% 218.59/218.72 [9960]~P144(f822(f822(f318(f891(a885,a885)),x99604),x99601))+~P144(f822(f822(f318(f891(f891(a885,a885),f891(a885,a885))),f822(f822(f243(f891(a885,a885),f891(a885,a885)),x99604),x99602)),a32))+~P144(f822(f822(f318(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f243(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),x99601),x99603)),a68))+P144(f822(f822(f318(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f243(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),x99601),f822(f822(f298(f891(a885,a885)),x99602),x99603))),a68))
% 218.59/218.72 [9961]~P144(f822(f822(f318(f891(a885,a885)),x99614),x99611))+~P144(f822(f822(f318(f891(f891(a885,a885),f891(a885,a885))),f822(f822(f243(f891(a885,a885),f891(a885,a885)),x99614),x99612)),a70))+~P144(f822(f822(f318(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f243(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),x99611),x99613)),a71))+P144(f822(f822(f318(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f243(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),x99611),f822(f822(f298(f891(a885,a885)),x99612),x99613))),a71))
% 218.59/218.72 [9856]~P91(x98562)+~P63(x98561)+~P144(f822(f822(f227(f892(x98561,x98562)),x98563),x98564))+P144(f822(f55(x98561),f822(f822(f10(a882,a882,x98561),a311),f822(f822(f20(x98561,x98562,a882),f822(f822(f10(x98562,f892(x98562,a882),x98561),a314),x98563)),x98564))))
% 218.59/218.72 [9972]~P144(f822(f822(f318(f891(a885,a885)),x99724),x99723))+~P144(f822(f822(f318(f891(f891(a885,a885),f891(a885,a885))),f822(f822(f243(f891(a885,a885),f891(a885,a885)),x99721),x99724)),a32))+~P144(f822(f822(f318(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f243(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),x99722),x99723)),a33))+P144(f822(f822(f318(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f243(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),f822(f822(f298(f891(a885,a885)),x99721),x99722)),x99723)),a33))
% 218.59/218.72 [9973]~P144(f822(f822(f318(f891(a885,a885)),x99734),x99733))+~P144(f822(f822(f318(f891(f891(a885,a885),f891(a885,a885))),f822(f822(f243(f891(a885,a885),f891(a885,a885)),x99731),x99734)),a70))+~P144(f822(f822(f318(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f243(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),x99732),x99733)),a69))+P144(f822(f822(f318(f891(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882))),f822(f822(f243(f892(f891(a885,a885),a882),f892(f891(a885,a885),a882)),f822(f822(f298(f891(a885,a885)),x99731),x99732)),x99733)),a69))
% 218.59/218.72 [6049]~P9(x60494,x60491)+~P144(f822(f822(x60491,x60492),x60495))+P144(f822(f822(x60491,x60492),x60493))+~P144(f822(f822(x60491,x60495),x60493))
% 218.59/218.72 [6050]~P51(x60504,x60501)+~P144(f822(f822(x60501,x60502),x60505))+P144(f822(f822(x60501,x60502),x60503))+~P144(f822(f822(x60501,x60505),x60503))
% 218.59/218.72 [6051]~P17(x60514,x60511)+~P144(f822(f822(x60511,x60512),x60515))+P144(f822(f822(x60511,x60512),x60513))+~P144(f822(f822(x60511,x60515),x60513))
% 218.59/218.72 [9617]~P37(x96171,x96174)+P144(f822(f822(f318(f891(f887(x96171),f887(x96171))),f822(f822(f243(f887(x96171),f887(x96171)),x96172),x96173)),f139(x96171,x96174)))+~P144(f822(f822(f318(f891(f887(x96171),f887(x96171))),f822(f822(f243(f887(x96171),f887(x96171)),x96172),x96175)),f139(x96171,x96174)))+~P144(f822(f822(f318(f891(f887(x96171),f887(x96171))),f822(f822(f243(f887(x96171),f887(x96171)),x96175),x96173)),f139(x96171,x96174)))
% 218.59/218.72 [5273]~P4(x52735)+E(x52731,x52732)+~E(x52733,x52734)+~E(f822(f822(f3(x52735),x52733),x52734),f822(f822(f3(x52735),x52731),x52732))
% 218.59/218.72 [6168]~P19(x61685,x61681,x61683)+E(f822(f822(x61681,x61682),f822(x61683,x61684)),f822(x61683,x61684))+~P144(f822(f60(x61685),x61684))+~P144(f822(f822(f318(x61685),x61682),x61684))
% 218.59/218.72 [6369]~P80(x63691)+~E(f822(f822(f3(x63691),x63694),x63695),f822(f822(f3(x63691),x63692),x63693))+~P144(f822(f822(f227(x63691),x63694),x63695))+P144(f822(f822(f227(x63691),x63692),x63693))
% 218.59/218.72 [6371]~P80(x63711)+~E(f822(f822(f3(x63711),x63714),x63715),f822(f822(f3(x63711),x63712),x63713))+~P144(f822(f822(f226(x63711),x63714),x63715))+P144(f822(f822(f226(x63711),x63712),x63713))
% 218.59/218.72 [7386]~E(x73862,f822(f822(f143(x73861),x73864),x73865))+P144(f822(f822(f318(f887(x73861)),x73862),f153(x73861,x73863)))+~P144(f822(f822(f318(f887(x73861)),x73865),f153(x73861,x73863)))+~P144(f822(f822(f318(x73861),x73864),x73863))
% 218.59/218.72 [7808]~E(f822(f183(f887(x78081)),x78083),f822(f183(f887(x78082)),x78084))+~E(f822(f822(f146(f891(x78081,x78082),x78082),f247(x78081,x78082)),x78085),x78084)+~E(f822(f822(f146(f891(x78081,x78082),x78081),f242(x78081,x78082)),x78085),x78083)+E(f822(f822(f173(x78081,x78082),x78083),x78084),x78085)
% 218.59/218.72 [8147]~P91(x81471)+P144(f822(f822(f227(f892(x81471,a882)),f292(x81471,x81472,x81473)),f292(x81471,x81474,x81475)))+~P144(f822(f822(f226(x81471),x81474),x81475))+P144(f822(f822(f226(x81471),x81472),x81473))
% 218.59/218.72 [8247]~P91(x82471)+P144(f822(f822(f226(f892(x82471,a882)),f292(x82471,x82472,x82473)),f292(x82471,x82474,x82475)))+~P144(f822(f822(f226(x82471),x82473),x82475))+~P144(f822(f822(f226(x82471),x82474),x82472))
% 218.59/218.72 [8365]~P92(x83651)+P144(f822(f822(f226(x83651),x83652),x83653))+P144(f822(f822(f226(x83651),x83654),x83653))+~P144(f822(f822(f226(f892(x83651,a882)),f822(f291(x83651,x83653),x83652)),f822(f291(x83651,x83654),x83655)))
% 218.59/218.72 [8366]~P92(x83661)+P144(f822(f822(f226(x83661),x83662),x83663))+P144(f822(f822(f226(x83661),x83662),x83664))+~P144(f822(f822(f226(f892(x83661,a882)),f822(f291(x83661,x83663),x83662)),f822(f291(x83661,x83665),x83664)))
% 218.59/218.72 [8593]~P91(x85931)+~P144(f822(f822(f227(f892(x85931,a882)),f292(x85931,x85934,x85932)),f292(x85931,x85935,x85933)))+P144(f822(f822(f226(x85931),x85932),x85933))+~P144(f822(f822(f226(x85931),x85934),x85932))
% 218.59/218.72 [8594]~P91(x85941)+~P144(f822(f822(f226(f892(x85941,a882)),f292(x85941,x85944,x85942)),f292(x85941,x85945,x85943)))+P144(f822(f822(f226(x85941),x85942),x85943))+~P144(f822(f822(f226(x85941),x85944),x85942))
% 218.59/218.72 [8595]~P91(x85951)+~P144(f822(f822(f227(f892(x85951,a882)),f292(x85951,x85953,x85954)),f292(x85951,x85952,x85955)))+P144(f822(f822(f226(x85951),x85952),x85953))+~P144(f822(f822(f226(x85951),x85953),x85954))
% 218.59/218.72 [8596]~P91(x85961)+~P144(f822(f822(f226(f892(x85961,a882)),f292(x85961,x85963,x85964)),f292(x85961,x85962,x85965)))+P144(f822(f822(f226(x85961),x85962),x85963))+~P144(f822(f822(f226(x85961),x85963),x85964))
% 218.59/218.72 [6048]~P19(x60482,x60485,x60483)+E(x60481,f182(f892(x60482,a882)))+~P144(f822(f60(x60482),x60481))+E(f822(x60483,f822(f822(f298(x60482),x60484),x60481)),f822(f822(x60485,x60484),f822(x60483,x60481)))
% 218.59/218.72 [6863]~E(x68631,x68632)+~E(f822(f822(f97(f892(x68633,a882)),x68634),x68635),f182(f892(x68633,a882)))+~P144(f822(f822(f318(x68633),x68632),x68635))+~P144(f822(f822(f318(x68633),x68631),x68634))
% 218.59/218.72 [6948]~P20(x69482,x69485,x69481)+~P144(f822(f60(x69482),x69484))+E(f822(x69481,f822(f822(f298(x69482),x69483),x69484)),f822(f822(f63(x69482,x69482,x69485),x69483),x69484))+P144(f822(f822(f318(x69482),x69483),x69484))
% 218.59/218.72 [7020]~P72(x70202)+~P144(f822(f60(x70201),x70205))+E(f822(f822(f8(x70201,x70202),x70203),f822(f822(f298(x70201),x70204),x70205)),f822(f822(f79(x70202),f822(x70203,x70204)),f822(f822(f8(x70201,x70202),x70203),x70205)))+P144(f822(f822(f318(x70201),x70204),x70205))
% 218.59/218.72 [7022]~P76(x70222)+~P144(f822(f60(x70221),x70225))+E(f822(f822(f11(x70221,x70222),x70223),f822(f822(f298(x70221),x70224),x70225)),f822(f822(f80(x70222),f822(x70223,x70224)),f822(f822(f11(x70221,x70222),x70223),x70225)))+P144(f822(f822(f318(x70221),x70224),x70225))
% 218.59/218.72 [7440]~P112(x74401)+~P144(f822(f60(x74404),x74405))+~P144(f822(f822(f318(x74404),x74403),x74405))+P144(f822(f822(f276(x74401),f822(x74402,x74403)),f822(f822(f11(x74404,x74401),x74402),x74405)))
% 218.59/218.72 [7546]~P20(x75462,x75465,x75461)+~P144(f822(f60(x75462),x75464))+E(f822(x75461,f822(f822(f298(x75462),x75463),x75464)),x75463)+~E(f822(f822(f3(f892(x75462,a882)),x75464),f822(f822(f298(x75462),x75463),f182(f892(x75462,a882)))),f182(f892(x75462,a882)))
% 218.59/218.72 [7880]~P112(x78801)+~P144(f822(f822(f276(x78801),x78802),x78804))+~P144(f822(f822(f226(a885),x78803),x78805))+P144(f822(f822(f276(x78801),f822(f822(f235(x78801),x78802),x78803)),f822(f822(f235(x78801),x78804),x78805)))
% 218.59/218.72 [7913]~P5(x79131)+E(f822(f822(f35(x79131),f822(f822(f80(x79131),x79132),x79133)),f822(f822(f80(x79131),x79134),x79135)),f822(f822(f80(x79131),f822(f822(f35(x79131),x79132),x79134)),f822(f822(f35(x79131),x79133),x79135)))+~P144(f822(f822(f276(x79131),x79135),x79133))+~P144(f822(f822(f276(x79131),x79134),x79132))
% 218.59/218.72 [7917]~P85(x79171)+~P144(f822(f822(f227(x79171),x79173),x79175))+~P144(f822(f822(f227(x79171),x79172),x79174))+P144(f822(f822(f227(x79171),f822(f822(f79(x79171),x79172),x79173)),f822(f822(f79(x79171),x79174),x79175)))
% 218.59/218.72 [7918]~P85(x79181)+~P144(f822(f822(f226(x79181),x79182),x79184))+~P144(f822(f822(f227(x79181),x79183),x79185))+P144(f822(f822(f227(x79181),f822(f822(f79(x79181),x79182),x79183)),f822(f822(f79(x79181),x79184),x79185)))
% 218.59/218.72 [7919]~P85(x79191)+~P144(f822(f822(f226(x79191),x79193),x79195))+~P144(f822(f822(f227(x79191),x79192),x79194))+P144(f822(f822(f227(x79191),f822(f822(f79(x79191),x79192),x79193)),f822(f822(f79(x79191),x79194),x79195)))
% 218.59/218.72 [7920]~P83(x79201)+~P144(f822(f822(f226(x79201),x79203),x79205))+~P144(f822(f822(f226(x79201),x79202),x79204))+P144(f822(f822(f226(x79201),f822(f822(f79(x79201),x79202),x79203)),f822(f822(f79(x79201),x79204),x79205)))
% 218.59/218.72 [7921]~P92(x79211)+~P144(f822(f822(f226(x79211),x79213),x79215))+~P144(f822(f822(f226(x79211),x79212),x79214))+P144(f822(f822(f226(x79211),f822(f822(f230(x79211),x79212),x79213)),f822(f822(f230(x79211),x79214),x79215)))
% 218.59/218.72 [7922]~P92(x79221)+~P144(f822(f822(f226(x79221),x79223),x79225))+~P144(f822(f822(f226(x79221),x79222),x79224))+P144(f822(f822(f226(x79221),f822(f822(f181(x79221),x79222),x79223)),f822(f822(f181(x79221),x79224),x79225)))
% 218.59/218.72 [7923]~P99(x79231)+~P144(f822(f822(f226(x79231),x79233),x79235))+~P144(f822(f822(f226(x79231),x79232),x79234))+P144(f822(f822(f226(x79231),f822(f822(f96(x79231),x79232),x79233)),f822(f822(f96(x79231),x79234),x79235)))
% 218.59/218.72 [7924]~P105(x79241)+~P144(f822(f822(f226(x79241),x79243),x79245))+~P144(f822(f822(f226(x79241),x79242),x79244))+P144(f822(f822(f226(x79241),f822(f822(f97(x79241),x79242),x79243)),f822(f822(f97(x79241),x79244),x79245)))
% 218.59/218.72 [7925]~P112(x79251)+~P144(f822(f822(f276(x79251),x79253),x79255))+~P144(f822(f822(f276(x79251),x79252),x79254))+P144(f822(f822(f276(x79251),f822(f822(f80(x79251),x79252),x79253)),f822(f822(f80(x79251),x79254),x79255)))
% 218.59/218.72 [8061]~P145(x80615)+E(x80611,x80612)+E(x80613,x80614)+~E(f822(f822(f79(x80615),f822(f822(f80(x80615),x80613),x80611)),f822(f822(f80(x80615),x80614),x80612)),f822(f822(f79(x80615),f822(f822(f80(x80615),x80613),x80612)),f822(f822(f80(x80615),x80614),x80611)))
% 218.59/218.72 [8267]~P92(x82674)+~P144(f822(f129(x82671),x82673))+P144(f822(f822(f318(x82671),x82672),f822(f164(x82671),x82673)))+P144(f822(f129(x82671),f822(f822(f140(x82671,x82674,x82675),x82672),x82673)))
% 218.59/218.72 [8411]~P72(x84111)+E(f822(f822(f79(x84111),f822(f822(f8(a885,x84111),x84112),f822(f291(a885,x84113),x84114))),f822(f822(f8(a885,x84111),x84112),f822(f291(a885,x84114),x84115))),f822(f822(f8(a885,x84111),x84112),f822(f291(a885,x84113),x84115)))+~P144(f822(f822(f226(a885),x84114),x84115))+~P144(f822(f822(f226(a885),x84113),x84114))
% 218.59/218.72 [8412]~P4(x84121)+E(f822(f822(f3(x84121),f822(f822(f8(a885,x84121),x84122),f822(f291(a885,x84123),x84124))),f822(f822(f8(a885,x84121),x84122),f822(f291(a885,x84123),x84125))),f822(f822(f8(a885,x84121),x84122),f822(f291(a885,x84125),x84124)))+~P144(f822(f822(f226(a885),x84125),x84124))+~P144(f822(f822(f226(a885),x84123),x84125))
% 218.59/218.72 [8728]~P65(x87282)+E(x87281,f2(x87282))+E(x87283,f2(x87282))+E(f822(f822(f280(x87282),f822(f822(f79(x87282),f822(f822(f80(x87282),x87284),x87281)),f822(f822(f80(x87282),x87285),x87283))),f822(f822(f80(x87282),x87283),x87281)),f822(f822(f79(x87282),f822(f822(f280(x87282),x87284),x87283)),f822(f822(f280(x87282),x87285),x87281)))
% 218.59/218.72 [8729]~P65(x87292)+E(x87291,f2(x87292))+E(x87293,f2(x87292))+E(f822(f822(f280(x87292),f822(f822(f3(x87292),f822(f822(f80(x87292),x87294),x87291)),f822(f822(f80(x87292),x87295),x87293))),f822(f822(f80(x87292),x87293),x87291)),f822(f822(f3(x87292),f822(f822(f280(x87292),x87294),x87293)),f822(f822(f280(x87292),x87295),x87291)))
% 218.59/218.72 [8737]~E(x87372,f822(x87373,x87371))+E(x87371,f480(x87372,x87373,x87374,x87375))+~P26(x87375,x87374,x87373,f233(f892(x87375,a882)))+~P144(f822(f822(f318(x87374),x87372),f822(f299(x87375,x87374,x87373),f233(f892(x87375,a882)))))
% 218.59/218.72 [8936]~P111(x89361)+~P144(f822(f822(f227(x89361),f822(f75(x89361),x89362)),x89364))+P144(f822(f822(f227(x89361),f822(f822(f80(x89361),f822(f75(x89361),x89362)),f822(f75(x89361),x89363))),f822(f822(f80(x89361),x89364),x89365)))+~P144(f822(f822(f227(x89361),f822(f75(x89361),x89363)),x89365))
% 218.59/218.72 [9043]~P26(x90431,x90433,x90435,x90432)+~P144(f822(f60(x90433),x90434))+P144(f822(f822(f226(a885),f822(f34(x90431),x90432)),f822(f34(x90433),x90434)))+~P144(f822(f822(f226(f892(x90433,a882)),f822(f299(x90431,x90433,x90435),x90432)),x90434))
% 218.59/218.72 [9111]~P72(x91112)+~P26(x91111,x91111,x91114,x91115)+~P144(f822(f60(x91111),x91115))+E(f822(f822(f8(x91111,x91112),f822(f72(x91111,x91112,x91111,x91113),x91114)),x91115),f822(f822(f8(x91111,x91112),x91113),f822(f299(x91111,x91111,x91114),x91115)))
% 218.59/218.72 [9112]~P76(x91122)+~P26(x91121,x91121,x91124,x91125)+~P144(f822(f60(x91121),x91125))+E(f822(f822(f11(x91121,x91122),f822(f72(x91121,x91122,x91121,x91123),x91124)),x91125),f822(f822(f11(x91121,x91122),x91123),f822(f299(x91121,x91121,x91124),x91125)))
% 218.59/218.72 [9239]~P36(x92391,x92392)+~P144(f822(f822(f318(x92391),x92393),x92394))+~P144(f822(f822(f318(x92391),x92395),x92394))+~P144(f822(f822(f318(f891(x92391,x92391)),f822(f822(f243(x92391,x92391),x92395),f625(x92392,x92391,x92394))),x92392))
% 218.59/218.72 [9275]~P26(x92752,x92753,x92755,x92751)+E(x92751,f182(f892(x92752,a882)))+E(f822(f299(x92753,x92752,f482(x92754,x92753,x92752,x92751)),x92754),x92751)+~P144(f822(f822(f226(f892(x92753,a882)),f822(f299(x92752,x92753,x92755),x92751)),x92754))
% 218.59/218.72 [9754]~P92(x97545)+~P7(x97545)+P144(f822(f822(f318(x97541),f360(x97542,x97543,x97541,x97544,x97545)),x97543))+~P144(f822(f822(f227(x97545),x97544),f822(f822(f38(x97541,x97545),x97543),x97542)))
% 218.59/218.72 [9759]~P92(x97591)+~P7(x97591)+P144(f822(f822(f227(x97591),x97592),f822(x97593,f360(x97593,x97594,x97595,x97592,x97591))))+~P144(f822(f822(f227(x97591),x97592),f822(f822(f38(x97595,x97591),x97594),x97593)))
% 218.59/218.72 [9840]~P70(x98401)+~P144(f822(f65(x98401,x98401,f80(x98401),x98402,x98403),x98405))+P144(f822(f822(f318(x98401),x98402),x98403))+P144(f822(f65(x98401,x98401,f80(x98401),x98404,f822(f822(f298(x98401),x98402),x98403)),f822(f822(f80(x98401),x98404),x98405)))
% 218.59/218.72 [10053]~P72(x100532)+~P144(f822(f60(x100531),x100535))+E(f822(f822(f8(x100531,x100532),f822(f822(f9(x100531,x100532,x100532),f822(f822(f20(x100531,x100532,f892(x100532,x100532)),f822(f822(f10(a882,f892(x100532,f892(x100532,x100532)),x100531),f90(x100532)),f822(a314,x100533))),x100534)),f2(x100532))),x100535),f2(x100532))+P144(f822(f822(f318(x100531),x100533),x100535))
% 218.59/218.72 [10054]~P76(x100542)+~P144(f822(f60(x100541),x100545))+E(f822(f822(f11(x100541,x100542),f822(f822(f9(x100541,x100542,x100542),f822(f822(f20(x100541,x100542,f892(x100542,x100542)),f822(f822(f10(a882,f892(x100542,f892(x100542,x100542)),x100541),f90(x100542)),f822(a314,x100543))),x100544)),f77(x100542))),x100545),f77(x100542))+P144(f822(f822(f318(x100541),x100543),x100545))
% 218.59/218.72 [10055]~P72(x100552)+~P144(f822(f60(x100551),x100555))+E(f822(f822(f8(x100551,x100552),f822(f822(f9(x100551,x100552,x100552),f822(f822(f20(x100551,x100552,f892(x100552,x100552)),f822(f822(f10(a882,f892(x100552,f892(x100552,x100552)),x100551),f90(x100552)),f822(a314,x100553))),x100554)),f2(x100552))),x100555),f822(x100554,x100553))+~P144(f822(f822(f318(x100551),x100553),x100555))
% 218.59/218.72 [10056]~P76(x100562)+~P144(f822(f60(x100561),x100565))+E(f822(f822(f11(x100561,x100562),f822(f822(f9(x100561,x100562,x100562),f822(f822(f20(x100561,x100562,f892(x100562,x100562)),f822(f822(f10(a882,f892(x100562,f892(x100562,x100562)),x100561),f90(x100562)),f822(a314,x100563))),x100564)),f77(x100562))),x100565),f822(x100564,x100563))+~P144(f822(f822(f318(x100561),x100563),x100565))
% 218.59/218.72 [10115]~P72(x101152)+~P144(f822(f60(x101151),x101155))+E(f822(f822(f8(x101151,x101152),f822(f822(f9(x101151,x101152,x101152),f822(f822(f20(x101151,x101152,f892(x101152,x101152)),f822(f822(f10(a882,f892(x101152,f892(x101152,x101152)),x101151),f90(x101152)),f822(f822(f9(x101151,x101151,a882),a314),x101153))),x101154)),f2(x101152))),x101155),f2(x101152))+P144(f822(f822(f318(x101151),x101153),x101155))
% 218.59/218.72 [10116]~P76(x101162)+~P144(f822(f60(x101161),x101165))+E(f822(f822(f11(x101161,x101162),f822(f822(f9(x101161,x101162,x101162),f822(f822(f20(x101161,x101162,f892(x101162,x101162)),f822(f822(f10(a882,f892(x101162,f892(x101162,x101162)),x101161),f90(x101162)),f822(f822(f9(x101161,x101161,a882),a314),x101163))),x101164)),f77(x101162))),x101165),f77(x101162))+P144(f822(f822(f318(x101161),x101163),x101165))
% 218.59/218.72 [10118]~P72(x101182)+~P144(f822(f60(x101181),x101185))+E(f822(f822(f8(x101181,x101182),f822(f822(f9(x101181,x101182,x101182),f822(f822(f20(x101181,x101182,f892(x101182,x101182)),f822(f822(f10(a882,f892(x101182,f892(x101182,x101182)),x101181),f90(x101182)),f822(f822(f9(x101181,x101181,a882),a314),x101183))),x101184)),f2(x101182))),x101185),f822(x101184,x101183))+~P144(f822(f822(f318(x101181),x101183),x101185))
% 218.59/218.72 [10119]~P76(x101192)+~P144(f822(f60(x101191),x101195))+E(f822(f822(f11(x101191,x101192),f822(f822(f9(x101191,x101192,x101192),f822(f822(f20(x101191,x101192,f892(x101192,x101192)),f822(f822(f10(a882,f892(x101192,f892(x101192,x101192)),x101191),f90(x101192)),f822(f822(f9(x101191,x101191,a882),a314),x101193))),x101194)),f77(x101192))),x101195),f822(x101194,x101193))+~P144(f822(f822(f318(x101191),x101193),x101195))
% 218.59/218.72 [7916]~P4(x79162)+~P144(f822(f60(x79161),x79164))+E(f822(f822(f8(x79161,x79162),x79163),f822(f822(f3(f892(x79161,a882)),x79164),f822(f822(f298(x79161),x79165),f182(f892(x79161,a882))))),f822(f822(f8(x79161,x79162),x79163),x79164))+P144(f822(f822(f318(x79161),x79165),x79164))
% 218.59/218.72 [8417]~P128(x84172)+~P144(f822(f60(x84171),x84174))+E(f822(f822(f8(x84171,x84172),x84173),f822(f822(f3(f892(x84171,a882)),x84174),f822(f822(f298(x84171),x84175),f182(f892(x84171,a882))))),f822(f822(f3(x84172),f822(f822(f8(x84171,x84172),x84173),x84174)),f822(x84173,x84175)))+~P144(f822(f822(f318(x84171),x84175),x84174))
% 218.59/218.72 [8418]~P4(x84182)+~P144(f822(f60(x84181),x84184))+E(f822(f822(f8(x84181,x84182),x84183),f822(f822(f3(f892(x84181,a882)),x84184),f822(f822(f298(x84181),x84185),f182(f892(x84181,a882))))),f822(f822(f3(x84182),f822(f822(f8(x84181,x84182),x84183),x84184)),f822(x84183,x84185)))+~P144(f822(f822(f318(x84181),x84185),x84184))
% 218.59/218.72 [8429]~P112(x84291)+~P144(f822(f822(f226(a885),x84293),x84295))+~P144(f822(f822(f276(x84291),f822(f822(f235(x84291),x84292),x84295)),x84294))+P144(f822(f822(f276(x84291),f822(f822(f235(x84291),x84292),x84293)),x84294))
% 218.59/218.72 [8447]~P4(x84471)+~P144(f822(f60(x84472),x84474))+E(f822(f822(f3(x84471),f822(f822(f8(x84472,x84471),x84473),x84474)),f822(f822(f8(x84472,x84471),x84473),x84475)),f822(f822(f8(x84472,x84471),x84473),f822(f822(f3(f892(x84472,a882)),x84474),x84475)))+~P144(f822(f822(f226(f892(x84472,a882)),x84475),x84474))
% 218.59/218.72 [8466]P144(f822(f60(x84661),f822(x84662,x84663)))+~P144(f822(f60(x84664),x84665))+~P144(f822(f822(f318(x84664),x84663),x84665))+~P144(f822(f60(x84661),f822(f822(f38(x84664,f892(x84661,a882)),x84665),x84662)))
% 218.59/218.72 [8894]~P10(x88941,x88945,x88944)+~E(f822(f274(x88941,x88941,x88944),f822(f822(f298(x88941),x88942),f182(f892(x88941,a882)))),f822(f274(x88941,x88941,x88944),f822(f822(f298(x88941),x88943),f182(f892(x88941,a882)))))+~P144(f822(f822(f318(x88941),x88943),x88945))+P144(f822(f822(f318(f891(x88941,x88941)),f822(f822(f243(x88941,x88941),x88942),x88943)),x88944))
% 218.59/218.72 [9194]~P144(f822(x91941,x91945))+P144(f822(x91941,f347(x91941,x91942,x91943,x91944)))+P144(f822(x91941,f346(x91941,x91942,x91943,x91944)))+~P144(f822(f822(f318(x91944),x91945),f822(f822(f96(f892(x91944,a882)),x91943),x91942)))
% 218.59/218.72 [9374]~P144(f822(x93741,x93745))+P144(f822(x93741,f346(x93741,x93742,x93743,x93744)))+P144(f822(f822(f318(x93744),f347(x93741,x93742,x93743,x93744)),x93742))+~P144(f822(f822(f318(x93744),x93745),f822(f822(f96(f892(x93744,a882)),x93743),x93742)))
% 218.59/218.72 [9375]~P144(f822(x93751,x93755))+P144(f822(x93751,f347(x93751,x93752,x93753,x93754)))+P144(f822(f822(f318(x93754),f346(x93751,x93752,x93753,x93754)),x93753))+~P144(f822(f822(f318(x93754),x93755),f822(f822(f96(f892(x93754,a882)),x93753),x93752)))
% 218.59/218.72 [9380]P144(f822(x93801,x93802))+~P144(f822(x93801,f350(x93801,x93803,x93804,x93805)))+~P144(f822(x93801,f349(x93801,x93803,x93804,x93805)))+~P144(f822(f822(f318(x93805),x93802),f822(f822(f96(f892(x93805,a882)),x93804),x93803)))
% 218.59/218.72 [9385]~P37(x93851,x93854)+~P144(f822(f822(f318(f891(x93851,x93851)),f822(f822(f243(x93851,x93851),x93852),x93855)),x93854))+P144(f822(f822(f318(f891(x93851,x93851)),f822(f822(f243(x93851,x93851),x93852),x93853)),x93854))+~P144(f822(f822(f318(f891(x93851,x93851)),f822(f822(f243(x93851,x93851),x93855),x93853)),x93854))
% 218.59/218.72 [9423]E(x94231,x94232)+~P144(f822(f822(f318(f891(x94233,x94233)),f822(f822(f243(x94233,x94233),x94231),x94232)),f296(x94233,x94235)))+P144(f822(f822(f318(x94233),x94231),x94234))+~P144(f822(f822(f226(f892(f891(x94233,x94233),a882)),x94235),f822(f822(f245(x94233,x94233),x94234),f822(f18(f892(x94233,a882),x94233),x94234))))
% 218.59/218.72 [9441]P144(f822(x94411,x94412))+~P144(f822(x94411,f349(x94411,x94414,x94415,x94413)))+P144(f822(f822(f318(x94413),f350(x94411,x94414,x94415,x94413)),x94414))+~P144(f822(f822(f318(x94413),x94412),f822(f822(f96(f892(x94413,a882)),x94415),x94414)))
% 218.59/218.72 [9442]P144(f822(x94421,x94422))+~P144(f822(x94421,f350(x94421,x94424,x94425,x94423)))+P144(f822(f822(f318(x94423),f349(x94421,x94424,x94425,x94423)),x94425))+~P144(f822(f822(f318(x94423),x94422),f822(f822(f96(f892(x94423,a882)),x94425),x94424)))
% 218.59/218.72 [9508]P144(f822(x95081,x95082))+P144(f822(f822(f318(x95083),f350(x95081,x95084,x95085,x95083)),x95084))+P144(f822(f822(f318(x95083),f349(x95081,x95084,x95085,x95083)),x95085))+~P144(f822(f822(f318(x95083),x95082),f822(f822(f96(f892(x95083,a882)),x95085),x95084)))
% 218.59/218.72 [9510]~P144(f822(x95102,x95105))+P144(f822(f822(f318(x95101),f347(x95102,x95103,x95104,x95101)),x95103))+P144(f822(f822(f318(x95101),f346(x95102,x95103,x95104,x95101)),x95104))+~P144(f822(f822(f318(x95101),x95105),f822(f822(f96(f892(x95101,a882)),x95104),x95103)))
% 218.59/218.72 [9659]~P10(x96591,x96595,x96594)+~P144(f822(f822(f318(x96591),x96593),x96595))+P144(f822(f822(f318(f891(x96591,x96591)),f822(f822(f243(x96591,x96591),x96592),x96593)),x96594))+~P144(f822(f822(f226(f892(x96591,a882)),f822(f274(x96591,x96591,x96594),f822(f822(f298(x96591),x96593),f182(f892(x96591,a882))))),f822(f274(x96591,x96591,x96594),f822(f822(f298(x96591),x96592),f182(f892(x96591,a882))))))
% 218.59/218.72 [9785]~P92(x97855)+~P7(x97855)+P144(f822(f822(f318(x97851),f595(x97852,x97853,x97854,x97851,x97855)),x97854))+~P144(f822(f822(f227(x97855),f822(f822(f39(x97851,x97855),x97854),x97853)),x97852))
% 218.59/218.72 [9824]~P73(x98245)+~P83(x98245)+P144(f822(f822(f318(x98241),f706(x98242,x98243,x98244,x98241,x98245)),f822(f164(x98241),x98244)))+P144(f822(f822(f226(x98245),f822(f157(x98245),f822(f822(f146(x98241,x98245),x98243),x98244))),f822(f157(x98245),f822(f822(f146(x98241,x98245),x98242),x98244))))
% 218.59/218.72 [9929]~P92(x99291)+~P7(x99291)+P144(f822(f822(f227(x99291),f822(x99292,f595(x99293,x99292,x99294,x99295,x99291))),x99293))+~P144(f822(f822(f227(x99291),f822(f822(f39(x99295,x99291),x99294),x99292)),x99293))
% 218.59/218.72 [10071]~P73(x100711)+~P83(x100711)+~P144(f822(f822(f226(x100711),f822(x100713,f706(x100715,x100713,x100714,x100712,x100711))),f822(x100715,f706(x100715,x100713,x100714,x100712,x100711))))+P144(f822(f822(f226(x100711),f822(f157(x100711),f822(f822(f146(x100712,x100711),x100713),x100714))),f822(f157(x100711),f822(f822(f146(x100712,x100711),x100715),x100714))))
% 218.59/218.72 [8745]~P72(x87451)+~P144(f822(f60(x87454),x87455))+~P144(f822(f822(f318(x87454),x87453),x87455))+E(f822(f822(f79(x87451),f822(x87452,x87453)),f822(f822(f8(x87454,x87451),x87452),f822(f822(f3(f892(x87454,a882)),x87455),f822(f822(f298(x87454),x87453),f182(f892(x87454,a882)))))),f822(f822(f8(x87454,x87451),x87452),x87455))
% 218.59/218.72 [8746]~P76(x87461)+~P144(f822(f60(x87464),x87465))+~P144(f822(f822(f318(x87464),x87463),x87465))+E(f822(f822(f80(x87461),f822(x87462,x87463)),f822(f822(f11(x87464,x87461),x87462),f822(f822(f3(f892(x87464,a882)),x87465),f822(f822(f298(x87464),x87463),f182(f892(x87464,a882)))))),f822(f822(f11(x87464,x87461),x87462),x87465))
% 218.59/218.72 [8800]~P20(x88001,x88004,x88005)+~P144(f822(f60(x88001),x88002))+E(f822(f822(f3(f892(x88001,a882)),x88002),f822(f822(f298(x88001),x88003),f182(f892(x88001,a882)))),f182(f892(x88001,a882)))+E(f822(f822(x88004,x88003),f822(x88005,f822(f822(f3(f892(x88001,a882)),x88002),f822(f822(f298(x88001),x88003),f182(f892(x88001,a882)))))),f822(x88005,f822(f822(f298(x88001),x88003),x88002)))
% 218.59/218.72 [9163]~P72(x91631)+~P144(f822(f60(x91632),x91635))+~P144(f822(f60(x91632),x91634))+E(f822(f822(f79(x91631),f822(f822(f8(x91632,x91631),x91633),f822(f822(f96(f892(x91632,a882)),x91634),x91635))),f822(f822(f8(x91632,x91631),x91633),f822(f822(f97(f892(x91632,a882)),x91634),x91635))),f822(f822(f79(x91631),f822(f822(f8(x91632,x91631),x91633),x91634)),f822(f822(f8(x91632,x91631),x91633),x91635)))
% 218.59/218.72 [9165]~P76(x91651)+~P144(f822(f60(x91652),x91655))+~P144(f822(f60(x91652),x91654))+E(f822(f822(f80(x91651),f822(f822(f11(x91652,x91651),x91653),f822(f822(f96(f892(x91652,a882)),x91654),x91655))),f822(f822(f11(x91652,x91651),x91653),f822(f822(f97(f892(x91652,a882)),x91654),x91655))),f822(f822(f80(x91651),f822(f822(f11(x91652,x91651),x91653),x91654)),f822(f822(f11(x91652,x91651),x91653),x91655)))
% 218.59/218.72 [9312]~P4(x93121)+~P144(f822(f60(x93122),x93125))+~P144(f822(f60(x93122),x93124))+E(f822(f822(f3(x93121),f822(f822(f79(x93121),f822(f822(f8(x93122,x93121),x93123),x93124)),f822(f822(f8(x93122,x93121),x93123),x93125))),f822(f822(f8(x93122,x93121),x93123),f822(f822(f97(f892(x93122,a882)),x93124),x93125))),f822(f822(f8(x93122,x93121),x93123),f822(f822(f96(f892(x93122,a882)),x93124),x93125)))
% 218.59/218.72 [9523]~P26(x95231,x95232,x95233,x95235)+~P26(x95231,x95232,x95233,x95234)+P26(x95231,x95232,x95233,f822(f822(f96(f892(x95231,a882)),x95234),x95235))+~E(f822(f822(f97(f892(x95232,a882)),f822(f299(x95231,x95232,x95233),f822(f822(f3(f892(x95231,a882)),x95234),x95235))),f822(f299(x95231,x95232,x95233),f822(f822(f3(f892(x95231,a882)),x95235),x95234))),f182(f892(x95232,a882)))
% 218.59/218.72 [9634]E(x96341,f2(a1))+~P144(f822(f822(f227(a1),f2(a1)),x96343))+~P144(f822(f48(x96342,x96341),f822(f822(f243(a1,a1),x96344),x96345)))+P144(f822(f48(x96342,f822(f822(f80(a1),x96341),x96343)),f822(f822(f243(a1,a1),f822(f822(f35(a1),x96344),x96343)),f822(f822(f79(a1),f822(f822(f80(a1),x96341),f44(a1,x96344,x96343))),x96345))))
% 218.59/218.72 [9642]~P144(f822(f822(f227(a885),f2(a885)),x96423))+~P144(f822(f822(f227(a885),f2(a885)),x96422))+~P144(f822(f47(x96421,x96422),f822(f822(f243(a885,a885),x96424),x96425)))+P144(f822(f47(x96421,f822(f822(f80(a885),x96422),x96423)),f822(f822(f243(a885,a885),f822(f822(f35(a885),x96424),x96423)),f822(f822(f79(a885),f822(f822(f80(a885),x96422),f44(a885,x96424,x96423))),x96425))))
% 218.59/218.72 [9689]E(f822(f822(f79(a1),f330(x96891,x96892,x96893,x96894,x96895)),f331(x96891,x96892,x96893,x96894,x96895)),x96895)+~P144(f822(f822(f276(a1),x96894),x96893))+~P144(f822(f822(f276(a1),x96894),f822(f822(f79(a1),x96895),x96891)))+P144(f822(f822(f276(a1),x96894),f822(f822(f79(a1),f822(f822(f3(a1),x96895),x96893)),x96891)))
% 218.59/218.72 [9690]E(f822(f822(f3(a1),f332(x96901,x96902,x96903,x96904,x96905)),f333(x96901,x96902,x96903,x96904,x96905)),x96905)+~P144(f822(f822(f276(a1),x96904),x96903))+~P144(f822(f822(f276(a1),x96904),f822(f822(f79(a1),x96905),x96901)))+P144(f822(f822(f276(a1),x96904),f822(f822(f79(a1),f822(f822(f79(a1),x96905),x96903)),x96901)))
% 218.59/218.72 [9691]~P76(x96911)+~P144(f822(f60(x96912),x96915))+~P144(f822(f60(x96912),x96914))+E(f822(f822(f80(x96911),f822(f822(f822(f64(x96911,x96912,f80(x96911)),x96913),f77(x96911)),f822(f822(f96(f892(x96912,a882)),x96914),x96915))),f822(f822(f822(f64(x96911,x96912,f80(x96911)),x96913),f77(x96911)),f822(f822(f97(f892(x96912,a882)),x96914),x96915))),f822(f822(f80(x96911),f822(f822(f822(f64(x96911,x96912,f80(x96911)),x96913),f77(x96911)),x96914)),f822(f822(f822(f64(x96911,x96912,f80(x96911)),x96913),f77(x96911)),x96915)))
% 218.59/218.72 [9693]~E(f822(f822(f167(x96931),x96935),x96932),f822(f822(f167(x96931),x96935),x96933))+P144(f822(f822(f318(f891(f887(x96931),f887(x96931))),f822(f822(f243(f887(x96931),f887(x96931)),x96932),x96933)),f139(x96931,x96934)))+~P144(f822(f822(f227(a885),x96935),f822(f822(f230(a885),f822(f183(f887(x96931)),x96932)),f822(f183(f887(x96931)),x96933))))+~P144(f822(f822(f318(f891(x96931,x96931)),f822(f822(f243(x96931,x96931),f822(f822(f156(x96931),x96932),x96935)),f822(f822(f156(x96931),x96933),x96935))),x96934))
% 218.59/218.72 [9702]E(f822(f822(f79(a1),f337(x97021,x97022,x97023,x97024,x97025)),f334(x97021,x97022,x97023,x97024,x97025)),x97025)+~P144(f822(f822(f276(a1),x97024),x97023))+P144(f822(f822(f276(a1),x97024),f822(f822(f79(a1),x97025),x97021)))+~P144(f822(f822(f276(a1),x97024),f822(f822(f79(a1),f822(f822(f3(a1),x97025),x97023)),x97021)))
% 218.59/218.72 [9703]E(f822(f822(f3(a1),f338(x97031,x97032,x97033,x97034,x97035)),f339(x97031,x97032,x97033,x97034,x97035)),x97035)+~P144(f822(f822(f276(a1),x97034),x97033))+P144(f822(f822(f276(a1),x97034),f822(f822(f79(a1),x97035),x97031)))+~P144(f822(f822(f276(a1),x97034),f822(f822(f79(a1),f822(f822(f79(a1),x97035),x97033)),x97031)))
% 218.59/218.72 [9799]~P144(f822(f822(f276(a1),x97994),x97993))+P144(f822(f822(f318(a1),f330(x97991,x97992,x97993,x97994,x97995)),x97992))+~P144(f822(f822(f276(a1),x97994),f822(f822(f79(a1),x97995),x97991)))+P144(f822(f822(f276(a1),x97994),f822(f822(f79(a1),f822(f822(f3(a1),x97995),x97993)),x97991)))
% 218.59/218.72 [9800]~P144(f822(f822(f276(a1),x98004),x98003))+P144(f822(f822(f318(a1),f332(x98001,x98002,x98003,x98004,x98005)),x98002))+~P144(f822(f822(f276(a1),x98004),f822(f822(f79(a1),x98005),x98001)))+P144(f822(f822(f276(a1),x98004),f822(f822(f79(a1),f822(f822(f79(a1),x98005),x98003)),x98001)))
% 218.59/218.72 [9807]~P144(f822(f822(f276(a1),x98074),x98073))+P144(f822(f822(f318(a1),f331(x98071,x98072,x98073,x98074,x98075)),f292(a1,f77(a1),x98073)))+~P144(f822(f822(f276(a1),x98074),f822(f822(f79(a1),x98075),x98071)))+P144(f822(f822(f276(a1),x98074),f822(f822(f79(a1),f822(f822(f3(a1),x98075),x98073)),x98071)))
% 218.59/218.72 [9808]~P144(f822(f822(f276(a1),x98084),x98083))+P144(f822(f822(f318(a1),f333(x98081,x98082,x98083,x98084,x98085)),f292(a1,f77(a1),x98083)))+~P144(f822(f822(f276(a1),x98084),f822(f822(f79(a1),x98085),x98081)))+P144(f822(f822(f276(a1),x98084),f822(f822(f79(a1),f822(f822(f79(a1),x98085),x98083)),x98081)))
% 218.59/218.72 [9809]~P1(x98095)+~P83(x98095)+P144(f822(f822(f318(x98091),f404(x98092,x98093,x98094,x98091,x98095)),x98094))+P144(f822(f822(f226(x98095),f822(f822(f8(x98091,x98095),x98093),x98094)),f822(f822(f80(x98095),f822(f95(x98095),f822(f34(x98091),x98094))),x98092)))
% 218.59/218.72 [9810]~P144(f822(f822(f276(a1),x98104),x98103))+P144(f822(f822(f318(a1),f337(x98101,x98102,x98103,x98104,x98105)),x98102))+P144(f822(f822(f276(a1),x98104),f822(f822(f79(a1),x98105),x98101)))+~P144(f822(f822(f276(a1),x98104),f822(f822(f79(a1),f822(f822(f3(a1),x98105),x98103)),x98101)))
% 218.59/218.72 [9811]~P144(f822(f822(f276(a1),x98114),x98113))+P144(f822(f822(f318(a1),f338(x98111,x98112,x98113,x98114,x98115)),x98112))+P144(f822(f822(f276(a1),x98114),f822(f822(f79(a1),x98115),x98111)))+~P144(f822(f822(f276(a1),x98114),f822(f822(f79(a1),f822(f822(f79(a1),x98115),x98113)),x98111)))
% 218.59/218.72 [9812]~P144(f822(f822(f276(a1),x98121),x98125))+P144(f822(f822(f318(a1),f334(x98123,x98124,x98125,x98121,x98122)),f292(a1,f77(a1),x98125)))+P144(f822(f822(f276(a1),x98121),f822(f822(f79(a1),x98122),x98123)))+~P144(f822(f822(f276(a1),x98121),f822(f822(f79(a1),f822(f822(f3(a1),x98122),x98125)),x98123)))
% 218.59/218.72 [9813]~P144(f822(f822(f276(a1),x98131),x98135))+P144(f822(f822(f318(a1),f339(x98133,x98134,x98135,x98131,x98132)),f292(a1,f77(a1),x98135)))+P144(f822(f822(f276(a1),x98131),f822(f822(f79(a1),x98132),x98133)))+~P144(f822(f822(f276(a1),x98131),f822(f822(f79(a1),f822(f822(f79(a1),x98132),x98135)),x98133)))
% 218.59/218.72 [9986]~P1(x99861)+~P83(x99861)+~P144(f822(f822(f226(x99861),f822(x99863,f404(x99865,x99863,x99864,x99862,x99861))),x99865))+P144(f822(f822(f226(x99861),f822(f822(f8(x99862,x99861),x99863),x99864)),f822(f822(f80(x99861),f822(f95(x99861),f822(f34(x99862),x99864))),x99865)))
% 218.59/218.72 [8772]E(f822(f822(f126(x87721),x87722),x87723),f822(f822(f126(x87721),x87724),x87725))+~E(f822(f822(f167(x87721),f822(f183(f887(x87721)),x87722)),x87724),x87722)+~E(f822(f822(f126(x87721),f822(f822(f130(x87721),f822(f183(f887(x87721)),x87722)),x87724)),x87725),x87723)+P144(f822(f822(f226(a885),f822(f183(f887(x87721)),x87724)),f822(f183(f887(x87721)),x87722)))
% 218.59/218.72 [8893]E(f822(f822(f126(x88931),x88932),x88933),f822(f822(f126(x88931),x88934),x88935))+~E(f822(f822(f167(x88931),f822(f183(f887(x88931)),x88932)),x88934),x88932)+~E(x88933,f822(f822(f126(x88931),f822(f822(f130(x88931),f822(f183(f887(x88931)),x88932)),x88934)),x88935))+~P144(f822(f822(f226(a885),f822(f183(f887(x88931)),x88932)),f822(f183(f887(x88931)),x88934)))
% 218.59/218.72 [10135]~P144(f822(x101355,x101354))+~P144(f822(f60(x101352),f822(f253(x101352),x101355)))+P144(f822(f60(x101351),f822(f253(x101351),f822(f822(f9(x101351,x101352,a882),x101353),x101354))))+~P144(f822(f60(x101351),f822(f253(x101351),f822(f822(f10(f892(x101352,a882),a882,x101351),f86(x101352)),f822(f822(f10(f892(x101352,a882),f892(x101352,a882),x101351),f822(f20(x101352,a882,a882),f822(f822(f10(a882,f892(a882,a882),x101352),a315),x101355))),x101353)))))
% 218.59/218.72 [10202]~P144(f822(f60(x102022),x102025))+~P144(f822(f822(f318(x102022),x102024),x102025))+P144(f822(f60(x102021),f822(f253(x102021),f822(f822(f9(x102021,x102022,a882),x102023),x102024))))+~P144(f822(f60(x102021),f822(f253(x102021),f822(f822(f10(f892(x102022,a882),a882,x102021),f86(x102022)),f822(f822(f10(f892(x102022,a882),f892(x102022,a882),x102021),f822(f20(x102022,a882,a882),f822(f822(f10(a882,f892(a882,a882),x102022),a315),f822(f822(f9(x102022,f892(x102022,a882),a882),f318(x102022)),x102025)))),x102023)))))
% 218.59/218.72 [8065]~P40(x80652,x80653,x80654,x80656)+~P40(f29(x80651,x80652),x80656,x80654,x80655)+P40(f29(x80651,x80652),x80653,x80654,x80655)+~P144(f822(x80651,x80653))
% 218.59/218.72 [8574]~P21(x85745,x85741,x85746,x85742)+E(f822(f72(x85741,x85741,x85741,f822(x85742,x85743)),f822(x85742,x85744)),f822(f72(x85741,x85741,x85741,f822(x85742,x85744)),f822(x85742,x85743)))+~P144(f822(f60(x85745),x85744))+~P144(f822(f60(x85745),x85743))
% 218.59/218.72 [7972]~P26(x79721,x79722,x79724,x79723)+~E(f822(x79724,x79726),x79725)+E(f822(f76(x79721,x79722,x79723,x79724),x79725),x79726)+~P144(f822(f822(f318(x79721),x79726),x79723))
% 218.59/218.72 [8168]~P22(x81686,x81681,x81684,x81682)+E(f822(f72(x81681,x81681,x81681,f822(x81682,x81683)),f822(x81684,x81685)),f822(x81682,x81683))+~P144(f822(f60(x81686),x81683))+~P144(f822(f822(f318(x81686),x81685),x81683))
% 218.59/218.72 [9359]~P21(x93593,x93591,x93596,x93592)+E(f822(f72(x93591,x93591,x93591,f822(x93592,f822(f822(f3(f892(x93593,a882)),x93594),f822(f822(f298(x93593),x93595),f182(f892(x93593,a882)))))),f822(x93596,x93595)),f822(x93592,x93594))+~P144(f822(f60(x93593),x93594))+~P144(f822(f822(f318(x93593),x93595),x93594))
% 218.59/218.72 [7027]~P5(x70271)+~E(f44(x70271,x70273,x70274),f44(x70271,x70276,x70274))+~E(f44(x70271,x70272,x70274),f44(x70271,x70275,x70274))+E(f44(x70271,f822(f822(f79(x70271),x70272),x70273),x70274),f44(x70271,f822(f822(f79(x70271),x70275),x70276),x70274))
% 218.59/218.72 [7028]~P5(x70281)+~E(f44(x70281,x70283,x70284),f44(x70281,x70286,x70284))+~E(f44(x70281,x70282,x70284),f44(x70281,x70285,x70284))+E(f44(x70281,f822(f822(f80(x70281),x70282),x70283),x70284),f44(x70281,f822(f822(f80(x70281),x70285),x70286),x70284))
% 218.59/218.72 [7029]~P6(x70291)+~E(f44(x70291,x70293,x70294),f44(x70291,x70296,x70294))+~E(f44(x70291,x70292,x70294),f44(x70291,x70295,x70294))+E(f44(x70291,f822(f822(f3(x70291),x70292),x70293),x70294),f44(x70291,f822(f822(f3(x70291),x70295),x70296),x70294))
% 218.59/218.72 [7862]~P18(x78621,x78622,x78623)+~P144(f822(f60(x78621),x78626))+E(f822(f822(f63(x78621,x78622,x78623),x78624),f822(f822(f298(x78621),x78625),x78626)),f822(f822(f63(x78621,x78622,x78623),f822(f822(x78623,x78625),x78624)),x78626))+P144(f822(f822(f318(x78621),x78625),x78626))
% 218.59/218.72 [7931]~P7(x79311)+P144(f822(f822(f226(x79311),x79312),f822(x79313,x79314)))+~P144(f822(f822(f318(x79315),x79314),x79316))+~P144(f822(f822(f226(x79311),x79312),f822(f822(f39(x79315,x79311),x79316),x79313)))
% 218.59/218.72 [8091]~P18(x80911,x80912,x80913)+~P144(f822(f60(x80911),x80916))+E(f822(f822(f63(x80911,x80912,x80913),x80914),f822(f822(f298(x80911),x80915),x80916)),f822(f822(x80913,x80915),f822(f822(f63(x80911,x80912,x80913),x80914),x80916)))+P144(f822(f822(f318(x80911),x80915),x80916))
% 218.59/218.72 [8186]~P92(x81863)+~P144(f822(x81862,x81865))+~P15(x81863,f822(f822(f146(x81861,x81863),x81864),x81866))+E(f822(f128(x81861,x81862),f822(f822(f140(x81861,x81863,x81864),x81865),x81866)),f822(f822(f140(x81861,x81863,x81864),x81865),f822(f128(x81861,x81862),x81866)))
% 218.59/218.72 [8210]E(x82101,x82102)+E(x82103,f2(a1))+~P144(f822(f48(x82104,x82103),f822(f822(f243(a1,a1),x82105),x82102)))+~P144(f822(f48(x82104,x82103),f822(f822(f243(a1,a1),x82106),x82101)))
% 218.59/218.72 [8211]E(x82111,x82112)+E(x82113,f2(a1))+~P144(f822(f48(x82114,x82113),f822(f822(f243(a1,a1),x82112),x82115)))+~P144(f822(f48(x82114,x82113),f822(f822(f243(a1,a1),x82111),x82116)))
% 218.59/218.72 [8233]~P21(x82332,x82335,x82336,x82331)+~P144(f822(f60(x82332),x82334))+E(f822(x82331,f822(f822(f298(x82332),x82333),x82334)),f822(f72(x82335,x82335,x82335,f822(x82331,x82334)),f822(x82336,x82333)))+P144(f822(f822(f318(x82332),x82333),x82334))
% 218.59/218.72 [8450]~P22(x84505,x84501,x84506,x84502)+E(f822(f72(x84501,x84501,x84501,f822(x84502,x84503)),f822(x84502,x84504)),f822(x84502,x84503))+~P144(f822(f60(x84505),x84503))+~P144(f822(f822(f226(f892(x84505,a882)),x84504),x84503))
% 218.59/218.72 [9569]~P26(x95691,x95692,x95694,x95693)+~P144(f822(f822(f318(x95692),x95695),f822(f299(x95691,x95692,x95694),x95693)))+P144(f822(f822(f318(x95691),f822(f76(x95691,x95692,x95693,x95694),x95695)),x95696))+~P144(f822(f822(f226(f892(x95691,a882)),x95693),x95696))
% 218.59/218.72 [9940]~P72(x99402)+~E(f568(x99401,x99403,x99405,x99406,x99404,x99402),f569(x99401,x99403,x99405,x99406,x99404,x99402))+~P144(f822(f60(x99404),x99406))+E(f822(f822(f8(x99401,x99402),x99403),f822(f299(x99404,x99401,x99405),x99406)),f822(f822(f8(x99404,x99402),f822(f72(x99401,x99402,x99404,x99403),x99405)),x99406))
% 218.59/218.72 [9968]~P72(x99686)+E(f822(x99681,f568(x99682,x99683,x99681,x99684,x99685,x99686)),f822(x99681,f569(x99682,x99683,x99681,x99684,x99685,x99686)))+E(f822(f822(f8(x99682,x99686),x99683),f822(f299(x99685,x99682,x99681),x99684)),f822(f822(f8(x99685,x99686),f822(f72(x99682,x99686,x99685,x99683),x99681)),x99684))+~P144(f822(f60(x99685),x99684))
% 218.59/218.72 [10021]~P72(x100212)+~E(f822(x100213,f822(x100215,f569(x100211,x100213,x100215,x100216,x100214,x100212))),f2(x100212))+~P144(f822(f60(x100214),x100216))+E(f822(f822(f8(x100211,x100212),x100213),f822(f299(x100214,x100211,x100215),x100216)),f822(f822(f8(x100214,x100212),f822(f72(x100211,x100212,x100214,x100213),x100215)),x100216))
% 218.59/218.72 [10080]~P72(x100802)+~P144(f822(f60(x100804),x100806))+E(f822(f822(f8(x100801,x100802),x100803),f822(f299(x100804,x100801,x100805),x100806)),f822(f822(f8(x100804,x100802),f822(f72(x100801,x100802,x100804,x100803),x100805)),x100806))+P144(f822(f822(f318(x100804),f569(x100801,x100803,x100805,x100806,x100804,x100802)),x100806))
% 218.59/218.72 [10081]~P72(x100812)+~P144(f822(f60(x100814),x100816))+E(f822(f822(f8(x100811,x100812),x100813),f822(f299(x100814,x100811,x100815),x100816)),f822(f822(f8(x100814,x100812),f822(f72(x100811,x100812,x100814,x100813),x100815)),x100816))+P144(f822(f822(f318(x100814),f568(x100811,x100813,x100815,x100816,x100814,x100812)),x100816))
% 218.59/218.72 [10201]~P76(x102011)+~P144(f822(f60(x102012),x102016))+E(f822(f822(f822(f64(x102011,x102012,f80(x102011)),f822(f822(f20(x102012,f892(x102013,a882),x102011),f822(f822(f9(x102012,x102011,f892(f892(x102013,a882),x102011)),f822(f822(f10(f892(x102013,x102011),f892(x102011,f892(f892(x102013,a882),x102011)),x102012),f64(x102011,x102013,f80(x102011))),x102014)),f77(x102011))),x102015)),f77(x102011)),x102016),f822(f822(f822(f64(x102011,f891(x102012,x102013),f80(x102011)),f822(f248(x102012,x102013,x102011),x102014)),f77(x102011)),f822(f822(f245(x102012,x102013),x102016),x102015)))+P144(f822(f822(f318(x102012),f501(x102014,x102015,x102013,x102016,x102012,x102011)),x102016))
% 218.59/218.72 [10222]~P76(x102221)+~P144(f822(f60(x102222),x102226))+E(f822(f822(f822(f64(x102221,x102222,f80(x102221)),f822(f822(f20(x102222,f892(x102223,a882),x102221),f822(f822(f9(x102222,x102221,f892(f892(x102223,a882),x102221)),f822(f822(f10(f892(x102223,x102221),f892(x102221,f892(f892(x102223,a882),x102221)),x102222),f64(x102221,x102223,f80(x102221))),x102224)),f77(x102221))),x102225)),f77(x102221)),x102226),f822(f822(f822(f64(x102221,f891(x102222,x102223),f80(x102221)),f822(f248(x102222,x102223,x102221),x102224)),f77(x102221)),f822(f822(f245(x102222,x102223),x102226),x102225)))+~P144(f822(f60(x102223),f822(x102225,f501(x102224,x102225,x102223,x102226,x102222,x102221))))
% 218.59/218.72 [8364]~P22(x83642,x83645,x83646,x83641)+~P144(f822(f60(x83642),x83644))+~P144(f822(f60(x83642),x83643))+E(f822(x83641,f822(f822(f96(f892(x83642,a882)),x83643),x83644)),f822(f72(x83645,x83645,x83645,f822(x83641,x83643)),f822(x83641,x83644)))
% 218.59/218.72 [8575]~P7(x85751)+P144(f822(f822(f226(x85751),f822(x85752,x85753)),x85754))+~P144(f822(f822(f318(x85755),x85753),x85756))+~P144(f822(f822(f226(x85751),f822(f822(f38(x85755,x85751),x85756),x85752)),x85754))
% 218.59/218.72 [8976]~P26(x89762,x89761,x89763,x89766)+E(f822(f822(f3(f892(x89761,a882)),f822(f299(x89762,x89761,x89763),x89764)),f822(f299(x89762,x89761,x89763),x89765)),f822(f299(x89762,x89761,x89763),f822(f822(f3(f892(x89762,a882)),x89764),x89765)))+~P144(f822(f822(f226(f892(x89762,a882)),x89765),x89766))+~P144(f822(f822(f226(f892(x89762,a882)),x89764),x89766))
% 218.59/218.72 [8977]~P26(x89772,x89771,x89773,x89776)+E(f822(f822(f97(f892(x89771,a882)),f822(f299(x89772,x89771,x89773),x89774)),f822(f299(x89772,x89771,x89773),x89775)),f822(f299(x89772,x89771,x89773),f822(f822(f97(f892(x89772,a882)),x89774),x89775)))+~P144(f822(f822(f226(f892(x89772,a882)),x89775),x89776))+~P144(f822(f822(f226(f892(x89772,a882)),x89774),x89776))
% 218.59/218.72 [9241]E(x92411,x92412)+~P56(x92413,x92414,x92415)+~P144(f822(f822(f318(f891(x92413,x92414)),f822(f822(f243(x92413,x92414),x92416),x92412)),x92415))+~P144(f822(f822(f318(f891(x92413,x92414)),f822(f822(f243(x92413,x92414),x92416),x92411)),x92415))
% 218.59/218.72 [10017]~P70(x100171)+~E(f822(x100173,f584(x100174,x100176,x100173,x100175,x100172,x100171)),f822(x100176,f584(x100174,x100176,x100173,x100175,x100172,x100171)))+~P144(f822(f60(x100172),x100175))+E(f822(f822(f822(f64(x100171,x100172,f80(x100171)),x100173),x100174),x100175),f822(f822(f822(f64(x100171,x100172,f80(x100171)),x100176),x100174),x100175))
% 218.59/218.72 [10077]~P70(x100771)+~P144(f822(f60(x100772),x100775))+E(f822(f822(f822(f64(x100771,x100772,f80(x100771)),x100773),x100774),x100775),f822(f822(f822(f64(x100771,x100772,f80(x100771)),x100776),x100774),x100775))+P144(f822(f822(f318(x100772),f584(x100774,x100773,x100776,x100775,x100772,x100771)),x100775))
% 218.59/218.72 [8785]~P70(x87851)+~P144(f822(f60(x87852),x87856))+P144(f822(f822(f318(x87852),x87855),x87856))+E(f822(f822(f822(f64(x87851,x87852,f80(x87851)),x87853),x87854),f822(f822(f298(x87852),x87855),x87856)),f822(f822(f80(x87851),f822(x87853,x87855)),f822(f822(f822(f64(x87851,x87852,f80(x87851)),x87853),x87854),x87856)))
% 218.59/218.72 [8832]~P10(x88321,x88326,x88323)+~P13(x88321,f892(x88322,a882),x88323,x88325)+~P144(f822(f822(f318(x88321),x88324),x88326))+E(f822(f822(f38(x88321,f892(x88322,a882)),f822(f274(x88321,x88321,x88323),f822(f822(f298(x88321),x88324),f182(f892(x88321,a882))))),x88325),f822(x88325,x88324))
% 218.59/218.72 [8954]~P18(x89543,x89544,x89541)+~P144(f822(f60(x89543),x89546))+~P144(f822(f822(f318(x89543),x89542),x89546))+E(f822(f822(x89541,x89542),f822(f822(f63(x89543,x89544,x89541),x89545),f822(f822(f3(f892(x89543,a882)),x89546),f822(f822(f298(x89543),x89542),f182(f892(x89543,a882)))))),f822(f822(f63(x89543,x89544,x89541),x89545),x89546))
% 218.59/218.72 [9251]~P21(x92513,x92511,x92516,x92512)+~P144(f822(f60(x92513),x92515))+~P144(f822(f60(x92513),x92514))+E(f822(f72(x92511,x92511,x92511,f822(x92512,f822(f822(f96(f892(x92513,a882)),x92514),x92515))),f822(x92512,f822(f822(f97(f892(x92513,a882)),x92514),x92515))),f822(f72(x92511,x92511,x92511,f822(x92512,x92514)),f822(x92512,x92515)))
% 218.59/218.72 [9589]~E(x95893,f822(f822(f151(x95891,x95892),x95895),x95896))+P144(f822(f822(f318(f891(f887(x95891),f887(x95891))),f822(f822(f243(f887(x95891),f887(x95891)),x95892),x95893)),f149(x95891,x95894)))+~P144(f822(f822(f227(a885),x95895),f822(f183(f887(x95891)),x95892)))+~P144(f822(f822(f318(f891(x95891,x95891)),f822(f822(f243(x95891,x95891),f822(f822(f156(x95891),x95892),x95895)),x95896)),x95894))
% 218.59/218.72 [10095]~P72(x100952)+~P144(f822(f60(x100951),x100956))+P144(f822(f822(f318(x100951),f504(x100954,x100955,x100953,x100956,x100951,x100952)),x100956))+E(f822(f822(f8(x100951,x100952),f822(f822(f20(x100951,f892(x100953,a882),x100952),f822(f822(f10(f892(x100953,x100952),f892(f892(x100953,a882),x100952),x100951),f8(x100953,x100952)),x100954)),x100955)),x100956),f822(f822(f8(f891(x100951,x100953),x100952),f822(f248(x100951,x100953,x100952),x100954)),f822(f822(f245(x100951,x100953),x100956),x100955)))
% 218.59/218.72 [10096]~P76(x100962)+~P144(f822(f60(x100961),x100966))+P144(f822(f822(f318(x100961),f505(x100964,x100965,x100963,x100966,x100961,x100962)),x100966))+E(f822(f822(f11(x100961,x100962),f822(f822(f20(x100961,f892(x100963,a882),x100962),f822(f822(f10(f892(x100963,x100962),f892(f892(x100963,a882),x100962),x100961),f11(x100963,x100962)),x100964)),x100965)),x100966),f822(f822(f11(f891(x100961,x100963),x100962),f822(f248(x100961,x100963,x100962),x100964)),f822(f822(f245(x100961,x100963),x100966),x100965)))
% 218.59/218.72 [10133]~P72(x101332)+~P144(f822(f60(x101331),x101336))+~P144(f822(f60(x101333),f822(x101335,f504(x101334,x101335,x101333,x101336,x101331,x101332))))+E(f822(f822(f8(x101331,x101332),f822(f822(f20(x101331,f892(x101333,a882),x101332),f822(f822(f10(f892(x101333,x101332),f892(f892(x101333,a882),x101332),x101331),f8(x101333,x101332)),x101334)),x101335)),x101336),f822(f822(f8(f891(x101331,x101333),x101332),f822(f248(x101331,x101333,x101332),x101334)),f822(f822(f245(x101331,x101333),x101336),x101335)))
% 218.59/218.72 [10134]~P76(x101342)+~P144(f822(f60(x101341),x101346))+~P144(f822(f60(x101343),f822(x101345,f505(x101344,x101345,x101343,x101346,x101341,x101342))))+E(f822(f822(f11(x101341,x101342),f822(f822(f20(x101341,f892(x101343,a882),x101342),f822(f822(f10(f892(x101343,x101342),f892(f892(x101343,a882),x101342),x101341),f11(x101343,x101342)),x101344)),x101345)),x101346),f822(f822(f11(f891(x101341,x101343),x101342),f822(f248(x101341,x101343,x101342),x101344)),f822(f822(f245(x101341,x101343),x101346),x101345)))
% 218.59/218.72 [10117]~P76(x101172)+~P144(f822(f60(x101171),x101176))+P144(f822(f822(f318(x101171),x101173),x101176))+E(f822(f822(f11(x101171,x101172),f822(f822(f9(x101171,x101172,x101172),f822(f822(f20(x101171,x101172,f892(x101172,x101172)),f822(f822(f10(a882,f892(x101172,f892(x101172,x101172)),x101171),f90(x101172)),f822(f822(f9(x101171,x101171,a882),a314),x101173))),x101174)),x101175)),x101176),f822(f822(f235(x101172),x101175),f822(f34(x101171),x101176)))
% 218.59/218.72 [10120]~P76(x101202)+~P144(f822(f60(x101201),x101206))+~P144(f822(f822(f318(x101201),x101203),x101206))+E(f822(f822(f11(x101201,x101202),f822(f822(f9(x101201,x101202,x101202),f822(f822(f20(x101201,x101202,f892(x101202,x101202)),f822(f822(f10(a882,f892(x101202,f892(x101202,x101202)),x101201),f90(x101202)),f822(f822(f9(x101201,x101201,a882),a314),x101203))),x101204)),x101205)),x101206),f822(f822(f80(x101202),f822(x101204,x101203)),f822(f822(f235(x101202),x101205),f822(f822(f3(a885),f822(f34(x101201),x101206)),f77(a885)))))
% 218.59/218.72 [10189]~P144(f822(f60(x101891),x101895))+~P144(f822(f60(x101892),x101893))+P144(f822(f822(f318(x101892),f531(x101896,x101894,x101893,x101892,x101895,x101891)),x101893))+E(f822(f822(f8(x101891,a885),f822(f822(f10(f892(x101892,a882),a885,x101891),f34(x101892)),f822(f822(f10(f892(x101892,a882),f892(x101892,a882),x101891),f253(x101892)),f822(f822(f10(f892(x101892,a882),f892(x101892,a882),x101891),f822(f20(x101892,a882,a882),f822(f822(f10(a882,f892(a882,a882),x101892),a315),f822(f822(f9(x101892,f892(x101892,a882),a882),f318(x101892)),x101893)))),x101894)))),x101895),f822(f822(f80(a885),x101896),f822(f34(x101892),x101893)))
% 218.59/218.72 [10190]~P144(f822(f60(x101901),x101905))+~P144(f822(f60(x101902),x101903))+P144(f822(f822(f318(x101902),f536(x101906,x101904,x101903,x101902,x101905,x101901)),x101903))+E(f822(f822(f8(x101901,a885),f822(f822(f10(f892(x101902,a882),a885,x101901),f34(x101902)),f822(f822(f10(f892(x101902,a882),f892(x101902,a882),x101901),f253(x101902)),f822(f822(f10(f892(x101902,a882),f892(x101902,a882),x101901),f822(f20(x101902,a882,a882),f822(f822(f10(a882,f892(a882,a882),x101902),a315),f822(f822(f9(x101902,f892(x101902,a882),a882),f318(x101902)),x101903)))),x101904)))),x101905),f822(f822(f8(x101902,a885),x101906),x101903))
% 218.59/218.72 [10233]~P144(f822(f60(x102332),x102333))+~P144(f822(f60(x102331),x102335))+~E(f822(f34(x102331),f822(f253(x102331),f822(f822(f20(x102331,a882,a882),f822(f822(f10(a882,f892(a882,a882),x102331),a315),f822(f822(f9(x102331,f892(x102331,a882),a882),f318(x102331)),x102335))),f822(f822(f9(x102331,x102332,a882),x102334),f531(x102336,x102334,x102333,x102332,x102335,x102331))))),x102336)+E(f822(f822(f8(x102331,a885),f822(f822(f10(f892(x102332,a882),a885,x102331),f34(x102332)),f822(f822(f10(f892(x102332,a882),f892(x102332,a882),x102331),f253(x102332)),f822(f822(f10(f892(x102332,a882),f892(x102332,a882),x102331),f822(f20(x102332,a882,a882),f822(f822(f10(a882,f892(a882,a882),x102332),a315),f822(f822(f9(x102332,f892(x102332,a882),a882),f318(x102332)),x102333)))),x102334)))),x102335),f822(f822(f80(a885),x102336),f822(f34(x102332),x102333)))
% 218.59/218.72 [10235]~P144(f822(f60(x102352),x102353))+~P144(f822(f60(x102351),x102355))+~E(f822(f34(x102351),f822(f253(x102351),f822(f822(f20(x102351,a882,a882),f822(f822(f10(a882,f892(a882,a882),x102351),a315),f822(f822(f9(x102351,f892(x102351,a882),a882),f318(x102351)),x102355))),f822(f822(f9(x102351,x102352,a882),x102354),f536(x102356,x102354,x102353,x102352,x102355,x102351))))),f822(x102356,f536(x102356,x102354,x102353,x102352,x102355,x102351)))+E(f822(f822(f8(x102351,a885),f822(f822(f10(f892(x102352,a882),a885,x102351),f34(x102352)),f822(f822(f10(f892(x102352,a882),f892(x102352,a882),x102351),f253(x102352)),f822(f822(f10(f892(x102352,a882),f892(x102352,a882),x102351),f822(f20(x102352,a882,a882),f822(f822(f10(a882,f892(a882,a882),x102352),a315),f822(f822(f9(x102352,f892(x102352,a882),a882),f318(x102352)),x102353)))),x102354)))),x102355),f822(f822(f8(x102352,a885),x102356),x102353))
% 218.59/218.72 [9871]E(x98711,x98712)+~P18(x98713,x98714,x98715)+~P144(f822(f65(x98713,x98714,x98715,x98716,x98717),x98712))+~P144(f822(f65(x98713,x98714,x98715,x98716,x98717),x98711))
% 218.59/218.72 [9662]P144(f822(x96621,x96622))+~P144(f822(f822(f318(x96627),x96622),f822(x96626,x96624)))+~P144(f822(x96621,f351(x96621,x96626,x96625,x96623,x96627)))+~P144(f822(f822(f318(x96623),x96624),x96625))
% 218.59/218.72 [10109]~P18(x101097,x101096,x101091)+E(f822(f822(x101091,x101092),f596(x101092,x101093,x101094,x101095,x101091,x101096,x101097)),x101093)+~P144(f822(f65(x101097,x101096,x101091,x101095,x101094),x101093))+~P144(f822(f822(f318(x101097),x101092),x101094))
% 218.59/218.72 [10171]~P18(x101711,x101712,x101713)+~P144(f822(f65(x101711,x101712,x101713,x101714,x101715),x101717))+P144(f822(f65(x101711,x101712,x101713,x101714,f822(f822(f3(f892(x101711,a882)),x101715),f822(f822(f298(x101711),x101716),f182(f892(x101711,a882))))),f596(x101716,x101717,x101715,x101714,x101713,x101712,x101711)))+~P144(f822(f822(f318(x101711),x101716),x101715))
% 218.59/218.72 [9565]~P70(x95651)+~P26(x95655,x95652,x95656,x95657)+~P144(f822(f60(x95655),x95657))+E(f822(f822(f822(f64(x95651,x95652,f80(x95651)),x95653),x95654),f822(f299(x95655,x95652,x95656),x95657)),f822(f822(f822(f64(x95651,x95655,f80(x95651)),f822(f72(x95652,x95651,x95655,x95653),x95656)),x95654),x95657))
% 218.59/218.72 [9685]~E(f822(f822(f298(x96851),x96855),x96856),f822(f822(f298(x96851),x96852),x96853))+~P144(f822(f65(x96851,x96851,x96854,x96852,x96853),x96857))+P144(f822(f822(f318(x96851),x96852),x96853))+P144(f822(f61(x96851,x96854,f822(f822(f298(x96851),x96855),x96856)),x96857))
% 218.59/218.72 [9771]P144(f822(x97711,x97712))+~P144(f822(f822(f318(x97713),x97712),f822(x97714,x97717)))+~P144(f822(f822(f318(x97716),x97717),x97715))+P144(f822(f822(f318(x97713),f351(x97711,x97714,x97715,x97716,x97713)),f822(f822(f38(x97716,f892(x97713,a882)),x97715),x97714)))
% 218.59/218.72 [9786]~P26(x97862,x97861,x97865,x97864)+~P26(x97861,x97863,x97866,f822(f299(x97862,x97861,x97865),x97864))+E(f822(f822(f72(x97861,x97862,x97863,f76(x97862,x97861,x97864,x97865)),f76(x97861,x97863,f822(f299(x97862,x97861,x97865),x97864),x97866)),x97867),f822(f76(x97862,x97863,x97864,f822(f72(x97861,x97863,x97862,x97866),x97865)),x97867))+~P144(f822(f822(f318(x97863),x97867),f822(f299(x97861,x97863,x97866),f822(f299(x97862,x97861,x97865),x97864))))
% 218.59/218.72 [10110]~P18(x101107,x101106,x101101)+E(f822(f822(x101101,x101102),f633(x101103,x101104,x101102,x101105,x101101,x101106,x101107)),x101103)+P144(f822(f822(f318(x101107),x101102),x101104))+~P144(f822(f65(x101107,x101106,x101101,x101105,f822(f822(f298(x101107),x101102),x101104)),x101103))
% 218.59/218.72 [10170]~P18(x101701,x101704,x101705)+P144(f822(f65(x101701,x101704,x101705,x101706,x101703),f633(x101707,x101703,x101702,x101706,x101705,x101704,x101701)))+P144(f822(f822(f318(x101701),x101702),x101703))+~P144(f822(f65(x101701,x101704,x101705,x101706,f822(f822(f298(x101701),x101702),x101703)),x101707))
% 218.59/218.72 [9853]E(x98531,f2(a1))+~P144(f822(f48(x98533,x98531),f822(f822(f243(a1,a1),x98535),x98537)))+~P144(f822(f48(x98532,x98531),f822(f822(f243(a1,a1),x98534),x98536)))+P144(f822(f48(f822(f822(f79(a1),x98532),x98533),x98531),f822(f822(f243(a1,a1),f822(f822(f79(a1),f822(f822(f79(a1),x98534),x98535)),f822(f822(f35(a1),f822(f822(f79(a1),x98536),x98537)),x98531))),f44(a1,f822(f822(f79(a1),x98536),x98537),x98531))))
% 218.59/218.72 [9855]~P144(f822(f822(f227(a885),f2(a885)),x98553))+~P144(f822(f47(x98552,x98553),f822(f822(f243(a885,a885),x98555),x98557)))+~P144(f822(f47(x98551,x98553),f822(f822(f243(a885,a885),x98554),x98556)))+P144(f822(f47(f822(f822(f79(a885),x98551),x98552),x98553),f822(f822(f243(a885,a885),f822(f822(f79(a885),f822(f822(f79(a885),x98554),x98555)),f822(f822(f35(a885),f822(f822(f79(a885),x98556),x98557)),x98553))),f44(a885,f822(f822(f79(a885),x98556),x98557),x98553))))
% 218.59/218.72 [10232]~P72(x102322)+~P144(f822(f60(x102323),x102325))+~P144(f822(f60(x102321),x102327))+E(f822(f822(f8(x102321,x102322),f822(f822(f20(x102321,f892(x102323,a882),x102322),f822(f822(f10(f892(x102323,x102322),f892(f892(x102323,a882),x102322),x102321),f8(x102323,x102322)),x102324)),f822(f822(f10(f892(x102323,a882),f892(x102323,a882),x102321),f253(x102323)),f822(f822(f10(f892(x102323,a882),f892(x102323,a882),x102321),f822(f20(x102323,a882,a882),f822(f822(f10(a882,f892(a882,a882),x102323),a315),f822(f822(f9(x102323,f892(x102323,a882),a882),f318(x102323)),x102325)))),x102326)))),x102327),f822(f822(f8(x102323,x102322),f822(f822(f20(x102323,f892(x102321,a882),x102322),f822(f822(f10(f892(x102321,x102322),f892(f892(x102321,a882),x102322),x102323),f8(x102321,x102322)),f822(f9(x102321,x102323,x102322),x102324))),f822(f822(f10(f892(x102321,a882),f892(x102321,a882),x102323),f253(x102321)),f822(f822(f10(f892(x102321,a882),f892(x102321,a882),x102323),f822(f20(x102321,a882,a882),f822(f822(f10(a882,f892(a882,a882),x102321),a315),f822(f822(f9(x102321,f892(x102321,a882),a882),f318(x102321)),x102327)))),f822(f9(x102321,x102323,a882),x102326))))),x102325))
% 218.59/218.72 [9724]~P24(x97247,x97246,x97241,x97248,x97242,x97244)+E(f822(f822(x97241,f822(x97242,x97243)),f822(x97244,x97245)),f822(x97244,x97245))+~P144(f822(f60(x97246),x97245))+~P144(f822(f822(f318(x97246),x97243),x97245))
% 218.59/218.72 [9728]~P14(x97286,x97281,x97282,x97288,x97283,x97284)+~P10(x97286,x97287,x97288)+P13(x97281,x97282,x97283,f822(x97284,x97285))+~P144(f822(f822(f318(x97286),x97285),x97287))
% 218.59/218.72 [9344]~P21(x93447,x93441,x93448,x93443)+~P144(f822(f60(x93447),x93445))+~P144(f822(f60(x93447),x93444))+E(f822(f72(x93441,x93441,x93442,f822(x93443,x93444)),f822(f72(x93441,x93441,x93442,f822(x93443,x93445)),x93446)),f822(f72(x93441,x93441,x93442,f822(x93443,x93445)),f822(f72(x93441,x93441,x93442,f822(x93443,x93444)),x93446)))
% 218.59/218.72 [9352]~P33(x93521,x93522,x93523,x93524,x93527)+P33(x93521,x93522,x93523,f822(f822(f151(x93521,x93524),x93525),x93526),f822(f822(f151(x93522,x93527),x93525),x93528))+~P144(f822(f822(x93523,x93526),x93528))+~P144(f822(f822(f227(a885),x93525),f822(f183(f887(x93521)),x93524)))
% 218.59/218.72 [9353]~P33(x93531,x93532,x93533,x93534,x93537)+P33(x93531,x93532,x93533,f822(f822(f151(x93531,x93534),x93535),x93536),f822(f822(f151(x93532,x93537),x93535),x93538))+~P144(f822(f822(x93533,x93536),x93538))+~P144(f822(f822(f227(a885),x93535),f822(f183(f887(x93532)),x93537)))
% 218.59/218.72 [9430]~P26(x94302,x94302,x94305,x94306)+~P23(x94303,x94302,x94307,x94308,x94301)+~P144(f822(f60(x94302),x94306))+E(f822(f822(x94301,f822(f72(x94302,x94303,x94302,x94304),x94305)),x94306),f822(f822(x94301,x94304),f822(f299(x94302,x94302,x94305),x94306)))
% 218.59/218.72 [9726]~P25(x97267,x97262,x97265,x97268,x97266,x97261)+~P144(f822(f60(x97262),x97264))+E(f822(x97261,f822(f822(f298(x97262),x97263),x97264)),f822(f822(x97265,f822(x97266,x97263)),f822(x97261,x97264)))+P144(f822(f822(f318(x97262),x97263),x97264))
% 218.59/218.72 [9737]~P24(x97376,x97375,x97371,x97377,x97378,x97372)+E(f822(f822(x97371,f822(x97372,x97373)),f822(x97372,x97374)),f822(x97372,x97374))+~P144(f822(f60(x97375),x97374))+~P144(f822(f822(f226(f892(x97375,a882)),x97373),x97374))
% 218.59/218.72 [9331]P144(f822(f822(f318(f891(f887(x93311),f887(x93311))),f822(f822(f243(f887(x93311),f887(x93311)),x93312),x93313)),f149(x93311,x93314)))+~E(x93313,f822(f822(f126(x93311),x93315),f822(f822(f143(x93311),x93316),x93317)))+~E(x93312,f822(f822(f126(x93311),x93315),f822(f822(f143(x93311),x93318),x93317)))+~P144(f822(f822(f318(f891(x93311,x93311)),f822(f822(f243(x93311,x93311),x93318),x93316)),x93314))
% 218.59/218.72 [9731]~P24(x97316,x97312,x97315,x97317,x97318,x97311)+~P144(f822(f60(x97312),x97314))+~P144(f822(f60(x97312),x97313))+E(f822(x97311,f822(f822(f96(f892(x97312,a882)),x97313),x97314)),f822(f822(x97315,f822(x97311,x97313)),f822(x97311,x97314)))
% 218.59/218.72 [10272]~P26(x102724,x102722,x102725,x102728)+E(f822(f822(f39(x102721,f892(x102722,a882)),x102723),f822(f822(f10(f892(x102724,a882),f892(x102722,a882),x102721),f299(x102724,x102722,x102725)),x102726)),f822(f299(x102724,x102722,x102725),f822(f822(f39(x102721,f892(x102724,a882)),x102723),x102726)))+~P144(f822(f822(f318(x102721),x102727),x102723))+P144(f822(f822(f318(x102721),f603(x102727,x102726,x102723,x102721,x102728,x102725,x102722,x102724)),x102723))
% 218.59/218.72 [10293]~P26(x102934,x102932,x102935,x102937)+E(f822(f822(f39(x102931,f892(x102932,a882)),x102933),f822(f822(f10(f892(x102934,a882),f892(x102932,a882),x102931),f299(x102934,x102932,x102935)),x102936)),f822(f299(x102934,x102932,x102935),f822(f822(f39(x102931,f892(x102934,a882)),x102933),x102936)))+~P144(f822(f822(f318(x102931),x102938),x102933))+~P144(f822(f822(f226(f892(x102934,a882)),f822(x102936,f603(x102938,x102936,x102933,x102931,x102937,x102935,x102932,x102934))),x102937))
% 218.59/218.72 [9795]~P25(x97957,x97955,x97951,x97958,x97952,x97954)+~P144(f822(f60(x97955),x97956))+~P144(f822(f822(f318(x97955),x97953),x97956))+E(f822(f822(x97951,f822(x97952,x97953)),f822(x97954,f822(f822(f3(f892(x97955,a882)),x97956),f822(f822(f298(x97955),x97953),f182(f892(x97955,a882)))))),f822(x97954,x97956))
% 218.59/218.72 [9805]~P25(x98056,x98053,x98051,x98057,x98058,x98052)+~P144(f822(f60(x98053),x98055))+~P144(f822(f60(x98053),x98054))+E(f822(f822(x98051,f822(x98052,f822(f822(f96(f892(x98053,a882)),x98054),x98055))),f822(x98052,f822(f822(f97(f892(x98053,a882)),x98054),x98055))),f822(f822(x98051,f822(x98052,x98054)),f822(x98052,x98055)))
% 218.59/218.72 [9893]P42(x98931,x98932,x98933,x98934,x98935,f822(f822(x98933,x98936),x98937))+~P42(x98931,x98932,x98933,x98934,f822(f822(f3(f892(x98931,a882)),x98935),f822(f822(f298(x98931),x98938),f182(f892(x98931,a882)))),x98939)+~E(f822(f822(x98933,x98936),x98937),f822(f822(x98933,x98938),x98939))+~P144(f822(f822(f318(x98931),x98938),x98935))
% 218.59/218.72 [9835]~P14(x98356,x98357,x98358,x98359,x983510,x98351)+E(f822(f822(x98351,x98352),x98353),f822(f822(x98351,x98354),x98355))+~P144(f822(f822(f318(f891(x98357,x98357)),f822(f822(f243(x98357,x98357),x98353),x98355)),x983510))+~P144(f822(f822(f318(f891(x98356,x98356)),f822(f822(f243(x98356,x98356),x98352),x98354)),x98359))
% 218.59/218.72 [6955]E(x69551,x69552)+~P144(f822(f822(f226(a1),f2(a1)),x69552))+~P144(f822(f822(f226(a1),f2(a1)),x69551))+~P144(f822(f822(f276(a1),x69552),x69551))+~P144(f822(f822(f276(a1),x69551),x69552))
% 218.59/218.72 [9432]~P100(x94322)+E(x94321,f182(f892(x94322,a882)))+~P144(f822(f60(x94322),x94321))+P144(f822(f822(f318(x94322),f15(x94322,x94321)),x94321))+~P144(f822(f822(f318(x94322),f822(f822(f96(x94322),f407(x94321,x94322)),f413(x94321,x94322))),f822(f822(f298(x94322),f407(x94321,x94322)),f822(f822(f298(x94322),f413(x94321,x94322)),f182(f892(x94322,a882))))))
% 218.59/218.72 [9435]~P100(x94352)+E(x94351,f182(f892(x94352,a882)))+~P144(f822(f60(x94352),x94351))+P144(f822(f822(f318(x94352),f12(x94352,x94351)),x94351))+~P144(f822(f822(f318(x94352),f822(f822(f97(x94352),f473(x94351,x94352)),f474(x94351,x94352))),f822(f822(f298(x94352),f473(x94351,x94352)),f822(f822(f298(x94352),f474(x94351,x94352)),f182(f892(x94352,a882))))))
% 218.59/218.72 [9465]~P70(x94652)+E(x94651,f182(f892(x94652,a882)))+~P144(f822(f60(x94652),x94651))+P144(f822(f822(f318(x94652),f822(f62(x94652,f80(x94652)),x94651)),x94651))+~P144(f822(f822(f318(x94652),f822(f822(f80(x94652),f517(x94651,x94652)),f518(x94651,x94652))),f822(f822(f298(x94652),f517(x94651,x94652)),f822(f822(f298(x94652),f518(x94651,x94652)),f182(f892(x94652,a882))))))
% 218.59/218.72 [9470]~P92(x94702)+E(x94701,f182(f892(x94702,a882)))+~P144(f822(f60(x94702),x94701))+P144(f822(f822(f318(x94702),f13(x94702,f181(x94702),x94701)),x94701))+~P144(f822(f822(f318(x94702),f822(f822(f181(x94702),f414(x94701,x94702)),f417(x94701,x94702))),f822(f822(f298(x94702),f414(x94701,x94702)),f822(f822(f298(x94702),f417(x94701,x94702)),f182(f892(x94702,a882))))))
% 218.59/218.72 [9471]~P92(x94712)+E(x94711,f182(f892(x94712,a882)))+~P144(f822(f60(x94712),x94711))+P144(f822(f822(f318(x94712),f14(x94712,f230(x94712),x94711)),x94711))+~P144(f822(f822(f318(x94712),f822(f822(f230(x94712),f418(x94711,x94712)),f421(x94711,x94712))),f822(f822(f298(x94712),f418(x94711,x94712)),f822(f822(f298(x94712),f421(x94711,x94712)),f182(f892(x94712,a882))))))
% 218.59/218.72 [6570]~P86(x65702)+E(x65701,f2(x65702))+~E(f822(f822(f79(x65702),x65703),x65701),f2(x65702))+~P144(f822(f822(f226(x65702),f2(x65702)),x65703))+~P144(f822(f822(f226(x65702),f2(x65702)),x65701))
% 218.59/218.72 [6571]~P86(x65712)+E(x65711,f2(x65712))+~E(f822(f822(f79(x65712),x65711),x65713),f2(x65712))+~P144(f822(f822(f226(x65712),f2(x65712)),x65713))+~P144(f822(f822(f226(x65712),f2(x65712)),x65711))
% 218.59/218.72 [7127]~P92(x71272)+~P15(x71272,x71271)+E(x71271,f108(x71272))+~P144(f822(f822(f318(x71272),x71273),f822(f164(x71272),f722(x71271,x71272))))+P144(f822(f822(f226(x71272),f741(x71271,x71272)),x71273))
% 218.59/218.72 [7298]~P92(x72981)+E(f17(x72981,x72982),x72983)+~P144(f822(f60(x72981),x72982))+~P144(f822(f822(f226(x72981),x72983),f580(x72983,x72982,x72981)))+~P144(f822(f822(f318(x72981),x72983),x72982))
% 218.59/218.72 [7334]~P92(x73341)+~P15(x73341,x73342)+~P15(x73341,x73343)+P15(x73341,f822(f822(f126(x73341),x73342),x73343))+P144(f822(f822(f318(x73341),f728(x73343,x73342,x73341)),f822(f164(x73341),x73342)))
% 218.59/218.72 [7335]~P92(x73351)+~P15(x73351,x73352)+~P15(x73351,x73353)+P15(x73351,f822(f822(f126(x73351),x73352),x73353))+P144(f822(f822(f318(x73351),f729(x73353,x73352,x73351)),f822(f164(x73351),x73353)))
% 218.59/218.72 [7401]~P92(x74011)+E(f16(x74011,x74012),x74013)+~P144(f822(f60(x74011),x74012))+P144(f822(f822(f318(x74011),f581(x74013,x74012,x74011)),x74012))+~P144(f822(f822(f318(x74011),x74013),x74012))
% 218.59/218.72 [7402]~P92(x74021)+E(f17(x74021,x74022),x74023)+~P144(f822(f60(x74021),x74022))+P144(f822(f822(f318(x74021),f580(x74023,x74022,x74021)),x74022))+~P144(f822(f822(f318(x74021),x74023),x74022))
% 218.59/218.72 [7994]~P92(x79941)+E(f16(x79941,x79942),x79943)+~P144(f822(f60(x79941),x79942))+~P144(f822(f822(f318(x79941),x79943),x79942))+~P144(f822(f822(f226(x79941),f581(x79943,x79942,x79941)),x79943))
% 218.59/218.72 [8312]~P92(x83121)+~P15(x83121,x83122)+~P15(x83121,x83123)+P15(x83121,f822(f822(f126(x83121),x83122),x83123))+~P144(f822(f822(f226(x83121),f728(x83123,x83122,x83121)),f729(x83123,x83122,x83121)))
% 218.59/218.72 [9067]~P100(x90672)+E(x90671,f182(f892(x90672,a882)))+~E(f822(f822(f96(x90672),f822(x90673,f436(x90671,x90673,x90672))),f822(x90673,f441(x90671,x90673,x90672))),f822(x90673,f822(f822(f96(x90672),f436(x90671,x90673,x90672)),f441(x90671,x90673,x90672))))+E(f15(x90672,f822(f299(x90672,x90672,x90673),x90671)),f822(x90673,f15(x90672,x90671)))+~P144(f822(f60(x90672),x90671))
% 218.59/218.72 [9068]~P92(x90682)+E(x90681,f182(f892(x90682,a882)))+~E(f822(f822(f181(x90682),f822(x90683,f437(x90681,x90683,x90682))),f822(x90683,f438(x90681,x90683,x90682))),f822(x90683,f822(f822(f181(x90682),f437(x90681,x90683,x90682)),f438(x90681,x90683,x90682))))+E(f16(x90682,f822(f299(x90682,x90682,x90683),x90681)),f822(x90683,f16(x90682,x90681)))+~P144(f822(f60(x90682),x90681))
% 218.59/218.72 [9069]~P92(x90692)+E(x90691,f182(f892(x90692,a882)))+~E(f822(f822(f230(x90692),f822(x90693,f439(x90691,x90693,x90692))),f822(x90693,f440(x90691,x90693,x90692))),f822(x90693,f822(f822(f230(x90692),f439(x90691,x90693,x90692)),f440(x90691,x90693,x90692))))+E(f17(x90692,f822(f299(x90692,x90692,x90693),x90691)),f822(x90693,f17(x90692,x90691)))+~P144(f822(f60(x90692),x90691))
% 218.59/218.72 [9070]~P100(x90702)+E(x90701,f182(f892(x90702,a882)))+~E(f822(f822(f97(x90702),f822(x90703,f484(x90701,x90703,x90702))),f822(x90703,f486(x90701,x90703,x90702))),f822(x90703,f822(f822(f97(x90702),f484(x90701,x90703,x90702)),f486(x90701,x90703,x90702))))+E(f12(x90702,f822(f299(x90702,x90702,x90703),x90701)),f822(x90703,f12(x90702,x90701)))+~P144(f822(f60(x90702),x90701))
% 218.59/218.72 [9137]~P92(x91372)+E(x91371,f182(f892(x91372,a882)))+~E(f822(f822(f181(x91372),f822(x91373,f428(x91371,x91373,x91372))),f822(x91373,f430(x91371,x91373,x91372))),f822(x91373,f822(f822(f181(x91372),f428(x91371,x91373,x91372)),f430(x91371,x91373,x91372))))+E(f13(x91372,f181(x91372),f822(f299(x91372,x91372,x91373),x91371)),f822(x91373,f13(x91372,f181(x91372),x91371)))+~P144(f822(f60(x91372),x91371))
% 218.59/218.72 [9138]~P92(x91382)+E(x91381,f182(f892(x91382,a882)))+~E(f822(f822(f230(x91382),f822(x91383,f431(x91381,x91383,x91382))),f822(x91383,f432(x91381,x91383,x91382))),f822(x91383,f822(f822(f230(x91382),f431(x91381,x91383,x91382)),f432(x91381,x91383,x91382))))+E(f14(x91382,f230(x91382),f822(f299(x91382,x91382,x91383),x91381)),f822(x91383,f14(x91382,f230(x91382),x91381)))+~P144(f822(f60(x91382),x91381))
% 218.59/218.72 [6587]~P70(x65872)+E(x65871,f182(f892(x65872,a882)))+~P144(f822(f60(x65872),x65871))+E(f822(f62(x65872,f80(x65872)),f822(f822(f298(x65872),x65873),x65871)),f822(f822(f80(x65872),x65873),f822(f62(x65872,f80(x65872)),x65871)))+P144(f822(f822(f318(x65872),x65873),x65871))
% 218.59/218.72 [7133]~P92(x71332)+E(f822(f822(f230(x71332),f17(x71332,x71331)),f17(x71332,x71333)),f17(x71332,x71333))+E(x71331,f182(f892(x71332,a882)))+~P144(f822(f60(x71332),x71333))+~P144(f822(f822(f226(f892(x71332,a882)),x71331),x71333))
% 218.59/218.72 [7134]~P92(x71342)+E(f822(f822(f181(x71342),f16(x71342,x71341)),f16(x71342,x71343)),f16(x71342,x71343))+E(x71341,f182(f892(x71342,a882)))+~P144(f822(f60(x71342),x71343))+~P144(f822(f822(f226(f892(x71342,a882)),x71341),x71343))
% 218.59/218.72 [7135]~P100(x71352)+E(f822(f822(f96(x71352),f15(x71352,x71351)),f15(x71352,x71353)),f15(x71352,x71353))+E(x71351,f182(f892(x71352,a882)))+~P144(f822(f60(x71352),x71353))+~P144(f822(f822(f226(f892(x71352,a882)),x71351),x71353))
% 218.59/218.72 [7136]~P100(x71362)+E(f822(f822(f97(x71362),f12(x71362,x71361)),f12(x71362,x71363)),f12(x71362,x71363))+E(x71361,f182(f892(x71362,a882)))+~P144(f822(f60(x71362),x71363))+~P144(f822(f822(f226(f892(x71362,a882)),x71361),x71363))
% 218.59/218.72 [7454]~P92(x74542)+E(x74541,f182(f892(x74542,a882)))+~P144(f822(f60(x74542),x74543))+P144(f822(f822(f226(x74542),f16(x74542,x74541)),f16(x74542,x74543)))+~P144(f822(f822(f226(f892(x74542,a882)),x74541),x74543))
% 218.59/218.72 [7455]~P92(x74552)+E(x74551,f182(f892(x74552,a882)))+~P144(f822(f60(x74552),x74553))+P144(f822(f822(f226(x74552),f17(x74552,x74553)),f17(x74552,x74551)))+~P144(f822(f822(f226(f892(x74552,a882)),x74551),x74553))
% 218.59/218.72 [7512]~P100(x75121)+E(f15(x75121,x75122),x75123)+~P144(f822(f60(x75121),x75122))+~E(f822(f822(f3(f892(x75121,a882)),x75122),f822(f822(f298(x75121),x75123),f182(f892(x75121,a882)))),f182(f892(x75121,a882)))+~P144(f822(f822(f318(x75121),x75123),x75122))
% 218.59/218.72 [7513]~P92(x75131)+E(f16(x75131,x75132),x75133)+~P144(f822(f60(x75131),x75132))+~E(f822(f822(f3(f892(x75131,a882)),x75132),f822(f822(f298(x75131),x75133),f182(f892(x75131,a882)))),f182(f892(x75131,a882)))+~P144(f822(f822(f318(x75131),x75133),x75132))
% 218.59/218.72 [7514]~P92(x75141)+E(f17(x75141,x75142),x75143)+~P144(f822(f60(x75141),x75142))+~E(f822(f822(f3(f892(x75141,a882)),x75142),f822(f822(f298(x75141),x75143),f182(f892(x75141,a882)))),f182(f892(x75141,a882)))+~P144(f822(f822(f318(x75141),x75143),x75142))
% 218.59/218.72 [7515]~P100(x75151)+E(f12(x75151,x75152),x75153)+~P144(f822(f60(x75151),x75152))+~E(f822(f822(f3(f892(x75151,a882)),x75152),f822(f822(f298(x75151),x75153),f182(f892(x75151,a882)))),f182(f892(x75151,a882)))+~P144(f822(f822(f318(x75151),x75153),x75152))
% 218.59/218.72 [7616]~P92(x76161)+E(f13(x76161,f181(x76161),x76162),x76163)+~P144(f822(f60(x76161),x76162))+~E(f822(f822(f3(f892(x76161,a882)),x76162),f822(f822(f298(x76161),x76163),f182(f892(x76161,a882)))),f182(f892(x76161,a882)))+~P144(f822(f822(f318(x76161),x76163),x76162))
% 218.59/218.72 [7617]~P92(x76171)+E(f14(x76171,f230(x76171),x76172),x76173)+~P144(f822(f60(x76171),x76172))+~E(f822(f822(f3(f892(x76171,a882)),x76172),f822(f822(f298(x76171),x76173),f182(f892(x76171,a882)))),f182(f892(x76171,a882)))+~P144(f822(f822(f318(x76171),x76173),x76172))
% 218.59/218.72 [7652]~P92(x76522)+E(x76521,f182(f892(x76522,a882)))+~P144(f822(f60(x76522),x76521))+~P144(f822(f822(f227(x76522),x76523),f510(x76523,x76521,x76522)))+P144(f822(f822(f227(x76522),x76523),f822(f62(x76522,f230(x76522)),x76521)))
% 218.59/218.72 [7653]~P92(x76532)+E(x76531,f182(f892(x76532,a882)))+~P144(f822(f60(x76532),x76531))+~P144(f822(f822(f226(x76532),x76533),f511(x76533,x76531,x76532)))+P144(f822(f822(f226(x76532),x76533),f822(f62(x76532,f230(x76532)),x76531)))
% 218.59/218.72 [7654]~P105(x76542)+E(x76541,f182(f892(x76542,a882)))+~P144(f822(f60(x76542),x76541))+~P144(f822(f822(f226(x76542),x76543),f512(x76543,x76541,x76542)))+P144(f822(f822(f226(x76542),x76543),f822(f62(x76542,f97(x76542)),x76541)))
% 218.59/218.72 [7741]~P105(x77412)+E(x77411,f182(f892(x77412,a882)))+~P144(f822(f60(x77412),x77411))+P144(f822(f822(f318(x77412),f512(x77413,x77411,x77412)),x77411))+P144(f822(f822(f226(x77412),x77413),f822(f62(x77412,f97(x77412)),x77411)))
% 218.59/218.72 [7742]~P92(x77422)+E(x77421,f182(f892(x77422,a882)))+~P144(f822(f60(x77422),x77421))+P144(f822(f822(f318(x77422),f511(x77423,x77421,x77422)),x77421))+P144(f822(f822(f226(x77422),x77423),f822(f62(x77422,f230(x77422)),x77421)))
% 218.59/218.72 [7743]~P92(x77432)+E(x77431,f182(f892(x77432,a882)))+~P144(f822(f60(x77432),x77431))+P144(f822(f822(f318(x77432),f510(x77433,x77431,x77432)),x77431))+P144(f822(f822(f227(x77432),x77433),f822(f62(x77432,f230(x77432)),x77431)))
% 218.59/218.72 [7864]~P92(x78642)+E(x78641,f182(f892(x78642,a882)))+E(f822(f822(f230(x78642),f14(x78642,f230(x78642),x78641)),f14(x78642,f230(x78642),x78643)),f14(x78642,f230(x78642),x78643))+~P144(f822(f60(x78642),x78643))+~P144(f822(f822(f226(f892(x78642,a882)),x78641),x78643))
% 218.59/218.72 [7865]~P92(x78652)+E(x78651,f182(f892(x78652,a882)))+E(f822(f822(f181(x78652),f13(x78652,f181(x78652),x78651)),f13(x78652,f181(x78652),x78653)),f13(x78652,f181(x78652),x78653))+~P144(f822(f60(x78652),x78653))+~P144(f822(f822(f226(f892(x78652,a882)),x78651),x78653))
% 218.59/218.72 [8071]~E(f628(x80711,x80713,x80712),f629(x80711,x80713,x80712))+~E(f822(f34(x80712),f630(x80711,x80713,x80712)),x80711)+E(f822(f822(f80(a885),x80711),f822(f34(f892(x80712,a882)),x80713)),f822(f34(x80712),f36(f892(x80712,a882),x80713)))+~P144(f822(f60(x80712),f36(f892(x80712,a882),x80713)))+~P144(f822(f60(f892(x80712,a882)),x80713))
% 218.59/218.72 [8252]~P92(x82522)+E(x82521,f182(f892(x82522,a882)))+~P144(f822(f60(x82522),x82523))+P144(f822(f822(f226(x82522),f822(f62(x82522,f230(x82522)),x82523)),f822(f62(x82522,f230(x82522)),x82521)))+~P144(f822(f822(f226(f892(x82522,a882)),x82521),x82523))
% 218.59/218.72 [8545]~E(f628(x85451,x85453,x85452),f629(x85451,x85453,x85452))+E(f822(f822(f80(a885),x85451),f822(f34(f892(x85452,a882)),x85453)),f822(f34(x85452),f36(f892(x85452,a882),x85453)))+P144(f822(f822(f318(f892(x85452,a882)),f630(x85451,x85453,x85452)),x85453))+~P144(f822(f60(x85452),f36(f892(x85452,a882),x85453)))+~P144(f822(f60(f892(x85452,a882)),x85453))
% 218.59/218.72 [8571]~E(f822(f34(x85712),f630(x85711,x85713,x85712)),x85711)+E(f822(f822(f80(a885),x85711),f822(f34(f892(x85712,a882)),x85713)),f822(f34(x85712),f36(f892(x85712,a882),x85713)))+P144(f822(f822(f318(f892(x85712,a882)),f629(x85711,x85713,x85712)),x85713))+~P144(f822(f60(x85712),f36(f892(x85712,a882),x85713)))+~P144(f822(f60(f892(x85712,a882)),x85713))
% 218.59/218.72 [8572]~E(f822(f34(x85722),f630(x85721,x85723,x85722)),x85721)+E(f822(f822(f80(a885),x85721),f822(f34(f892(x85722,a882)),x85723)),f822(f34(x85722),f36(f892(x85722,a882),x85723)))+P144(f822(f822(f318(f892(x85722,a882)),f628(x85721,x85723,x85722)),x85723))+~P144(f822(f60(x85722),f36(f892(x85722,a882),x85723)))+~P144(f822(f60(f892(x85722,a882)),x85723))
% 218.59/218.72 [8597]~E(f822(f34(x85972),f630(x85971,x85973,x85972)),x85971)+~E(f822(f822(f97(f892(x85972,a882)),f629(x85971,x85973,x85972)),f628(x85971,x85973,x85972)),f182(f892(x85972,a882)))+E(f822(f822(f80(a885),x85971),f822(f34(f892(x85972,a882)),x85973)),f822(f34(x85972),f36(f892(x85972,a882),x85973)))+~P144(f822(f60(f892(x85972,a882)),x85973))+~P144(f822(f60(x85972),f36(f892(x85972,a882),x85973)))
% 218.59/218.72 [8838]E(f822(f822(f80(a885),x88381),f822(f34(f892(x88382,a882)),x88383)),f822(f34(x88382),f36(f892(x88382,a882),x88383)))+P144(f822(f822(f318(f892(x88382,a882)),f630(x88381,x88383,x88382)),x88383))+P144(f822(f822(f318(f892(x88382,a882)),f629(x88381,x88383,x88382)),x88383))+~P144(f822(f60(f892(x88382,a882)),x88383))+~P144(f822(f60(x88382),f36(f892(x88382,a882),x88383)))
% 218.59/218.72 [8839]E(f822(f822(f80(a885),x88391),f822(f34(f892(x88392,a882)),x88393)),f822(f34(x88392),f36(f892(x88392,a882),x88393)))+P144(f822(f822(f318(f892(x88392,a882)),f630(x88391,x88393,x88392)),x88393))+P144(f822(f822(f318(f892(x88392,a882)),f628(x88391,x88393,x88392)),x88393))+~P144(f822(f60(f892(x88392,a882)),x88393))+~P144(f822(f60(x88392),f36(f892(x88392,a882),x88393)))
% 218.59/218.72 [8863]~E(f822(f822(f97(f892(x88632,a882)),f629(x88631,x88633,x88632)),f628(x88631,x88633,x88632)),f182(f892(x88632,a882)))+E(f822(f822(f80(a885),x88631),f822(f34(f892(x88632,a882)),x88633)),f822(f34(x88632),f36(f892(x88632,a882),x88633)))+~P144(f822(f60(f892(x88632,a882)),x88633))+P144(f822(f822(f318(f892(x88632,a882)),f630(x88631,x88633,x88632)),x88633))+~P144(f822(f60(x88632),f36(f892(x88632,a882),x88633)))
% 218.59/218.72 [9113]~P98(x91132)+E(x91131,f182(f892(x91132,a882)))+~E(f822(f822(f80(x91132),f822(x91133,f515(x91131,x91133,x91132))),f822(x91133,f519(x91131,x91133,x91132))),f822(x91133,f822(f822(f80(x91132),f515(x91131,x91133,x91132)),f519(x91131,x91133,x91132))))+~P144(f822(f60(x91132),x91131))+E(f822(f62(x91132,f80(x91132)),f822(f299(x91132,x91132,x91133),x91131)),f822(x91133,f822(f62(x91132,f80(x91132)),x91131)))
% 218.59/218.72 [10051]P144(f822(f822(x100511,x100512),x100513))+P144(f822(f822(f227(a1),f848(x100511,x100513,x100512)),f849(x100511,x100513,x100512)))+P144(f822(f822(f226(a1),f849(x100511,x100513,x100512)),f2(a1)))+P144(f822(f822(x100511,f848(x100511,x100513,x100512)),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f849(x100511,x100513,x100512))))+~P144(f822(f304(f891(a1,a1),a57),f822(f822(f243(a1,a1),x100512),x100513)))
% 218.59/218.72 [10057]P144(f822(f822(x100571,x100572),x100573))+P144(f822(f822(f226(a1),f847(x100571,x100573,x100572)),f2(a1)))+P144(f822(f822(x100571,f846(x100571,x100573,x100572)),f822(f822(f80(a1),f822(f99(a1),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f847(x100571,x100573,x100572))))+P144(f822(f822(f226(a1),f2(a1)),f822(f822(f79(a1),f846(x100571,x100573,x100572)),f847(x100571,x100573,x100572))))+~P144(f822(f304(f891(a1,a1),a51),f822(f822(f243(a1,a1),x100572),x100573)))
% 218.59/218.72 [8041]~P111(x80411)+~P144(f822(f822(f226(x80411),x80412),f77(x80411)))+~P144(f822(f822(f226(x80411),f2(x80411)),x80412))+~P144(f822(f822(f226(x80411),f2(x80411)),x80413))+P144(f822(f822(f226(x80411),f822(f822(f80(x80411),x80412),x80413)),x80413))
% 218.59/218.72 [8042]~P111(x80421)+~P144(f822(f822(f226(x80421),x80423),f77(x80421)))+~P144(f822(f822(f226(x80421),f2(x80421)),x80423))+~P144(f822(f822(f226(x80421),f2(x80421)),x80422))+P144(f822(f822(f226(x80421),f822(f822(f80(x80421),x80422),x80423)),x80422))
% 218.59/218.72 [8396]~P92(x83962)+E(x83961,f182(f892(x83962,a882)))+~P144(f822(f60(x83962),x83961))+P144(f822(f822(f227(x83962),f514(x83963,x83961,x83962)),x83963))+~P144(f822(f822(f227(x83962),f822(f62(x83962,f230(x83962)),x83961)),x83963))
% 218.59/218.72 [8397]~P92(x83972)+E(x83971,f182(f892(x83972,a882)))+~P144(f822(f60(x83972),x83971))+P144(f822(f822(f226(x83972),f513(x83973,x83971,x83972)),x83973))+~P144(f822(f822(f226(x83972),f822(f62(x83972,f230(x83972)),x83971)),x83973))
% 218.59/218.72 [8398]~P92(x83982)+E(x83981,f182(f892(x83982,a882)))+~P144(f822(f60(x83982),x83981))+P144(f822(f822(f318(x83982),f513(x83983,x83981,x83982)),x83981))+~P144(f822(f822(f226(x83982),f822(f62(x83982,f230(x83982)),x83981)),x83983))
% 218.59/218.72 [8399]~P92(x83992)+E(x83991,f182(f892(x83992,a882)))+~P144(f822(f60(x83992),x83991))+P144(f822(f822(f318(x83992),f514(x83993,x83991,x83992)),x83991))+~P144(f822(f822(f227(x83992),f822(f62(x83992,f230(x83992)),x83991)),x83993))
% 218.59/218.72 [8480]~P144(f822(x84801,x84803))+P144(f822(x84801,f880(x84801,x84802)))+P144(f822(x84801,f874(x84801,x84802)))+~P144(f822(f822(f227(a1),f2(a1)),x84802))+P144(f822(x84801,f822(f822(f3(a1),f874(x84801,x84802)),f822(f822(f80(a1),f881(x84801,x84802)),x84802))))
% 218.59/218.72 [8693]~P144(f822(x86931,x86933))+P144(f822(x86931,f874(x86931,x86932)))+~P144(f822(f822(f227(a1),f2(a1)),x86932))+P144(f822(f822(f318(a1),f880(x86931,x86932)),f292(a1,f77(a1),x86932)))+P144(f822(x86931,f822(f822(f3(a1),f874(x86931,x86932)),f822(f822(f80(a1),f881(x86931,x86932)),x86932))))
% 218.59/218.72 [8885]~P144(f822(x88851,x88853))+~P144(f822(x88851,f874(x88851,x88852)))+P144(f822(x88851,f880(x88851,x88852)))+~P144(f822(f822(f227(a1),f2(a1)),x88852))+~P144(f822(x88851,f822(f822(f3(a1),f874(x88851,x88852)),f822(f822(f80(a1),f881(x88851,x88852)),x88852))))
% 218.59/218.72 [9005]~P144(f822(x90051,x90053))+~P144(f822(x90051,f874(x90051,x90052)))+~P144(f822(f822(f227(a1),f2(a1)),x90052))+P144(f822(f822(f318(a1),f880(x90051,x90052)),f292(a1,f77(a1),x90052)))+~P144(f822(x90051,f822(f822(f3(a1),f874(x90051,x90052)),f822(f822(f80(a1),f881(x90051,x90052)),x90052))))
% 218.59/218.72 [8796]~P100(x87961)+~P144(f822(f60(x87961),x87962))+E(f822(f822(f3(f892(x87961,a882)),x87962),f822(f822(f298(x87961),x87963),f182(f892(x87961,a882)))),f182(f892(x87961,a882)))+~P144(f822(f822(f318(x87961),x87963),x87962))+E(f822(f822(f96(x87961),x87963),f15(x87961,f822(f822(f3(f892(x87961,a882)),x87962),f822(f822(f298(x87961),x87963),f182(f892(x87961,a882)))))),f15(x87961,x87962))
% 218.59/218.72 [8797]~P92(x87971)+~P144(f822(f60(x87971),x87972))+E(f822(f822(f3(f892(x87971,a882)),x87972),f822(f822(f298(x87971),x87973),f182(f892(x87971,a882)))),f182(f892(x87971,a882)))+~P144(f822(f822(f318(x87971),x87973),x87972))+E(f822(f822(f181(x87971),x87973),f16(x87971,f822(f822(f3(f892(x87971,a882)),x87972),f822(f822(f298(x87971),x87973),f182(f892(x87971,a882)))))),f16(x87971,x87972))
% 218.59/218.72 [8798]~P92(x87981)+~P144(f822(f60(x87981),x87982))+E(f822(f822(f3(f892(x87981,a882)),x87982),f822(f822(f298(x87981),x87983),f182(f892(x87981,a882)))),f182(f892(x87981,a882)))+~P144(f822(f822(f318(x87981),x87983),x87982))+E(f822(f822(f230(x87981),x87983),f17(x87981,f822(f822(f3(f892(x87981,a882)),x87982),f822(f822(f298(x87981),x87983),f182(f892(x87981,a882)))))),f17(x87981,x87982))
% 218.59/218.72 [8799]~P100(x87991)+~P144(f822(f60(x87991),x87992))+E(f822(f822(f3(f892(x87991,a882)),x87992),f822(f822(f298(x87991),x87993),f182(f892(x87991,a882)))),f182(f892(x87991,a882)))+~P144(f822(f822(f318(x87991),x87993),x87992))+E(f822(f822(f97(x87991),x87993),f12(x87991,f822(f822(f3(f892(x87991,a882)),x87992),f822(f822(f298(x87991),x87993),f182(f892(x87991,a882)))))),f12(x87991,x87992))
% 218.59/218.72 [8858]~P92(x88581)+~P144(f822(f60(x88581),x88582))+E(f822(f822(f3(f892(x88581,a882)),x88582),f822(f822(f298(x88581),x88583),f182(f892(x88581,a882)))),f182(f892(x88581,a882)))+~P144(f822(f822(f318(x88581),x88583),x88582))+E(f822(f822(f181(x88581),x88583),f13(x88581,f181(x88581),f822(f822(f3(f892(x88581,a882)),x88582),f822(f822(f298(x88581),x88583),f182(f892(x88581,a882)))))),f13(x88581,f181(x88581),x88582))
% 218.59/218.72 [8859]~P92(x88591)+~P144(f822(f60(x88591),x88592))+E(f822(f822(f3(f892(x88591,a882)),x88592),f822(f822(f298(x88591),x88593),f182(f892(x88591,a882)))),f182(f892(x88591,a882)))+~P144(f822(f822(f318(x88591),x88593),x88592))+E(f822(f822(f230(x88591),x88593),f14(x88591,f230(x88591),f822(f822(f3(f892(x88591,a882)),x88592),f822(f822(f298(x88591),x88593),f182(f892(x88591,a882)))))),f14(x88591,f230(x88591),x88592))
% 218.59/218.72 [8872]~P92(x88721)+~P144(f822(f60(x88721),x88723))+~P144(f822(f60(x88721),x88722))+E(f822(f822(f97(f892(x88721,a882)),x88722),x88723),f182(f892(x88721,a882)))+E(f822(f822(f230(x88721),f17(x88721,f822(f822(f96(f892(x88721,a882)),x88722),x88723))),f17(x88721,f822(f822(f97(f892(x88721,a882)),x88722),x88723))),f822(f822(f230(x88721),f17(x88721,x88722)),f17(x88721,x88723)))
% 218.59/218.72 [8873]~P92(x88731)+~P144(f822(f60(x88731),x88733))+~P144(f822(f60(x88731),x88732))+E(f822(f822(f97(f892(x88731,a882)),x88732),x88733),f182(f892(x88731,a882)))+E(f822(f822(f181(x88731),f16(x88731,f822(f822(f96(f892(x88731,a882)),x88732),x88733))),f16(x88731,f822(f822(f97(f892(x88731,a882)),x88732),x88733))),f822(f822(f181(x88731),f16(x88731,x88732)),f16(x88731,x88733)))
% 218.59/218.72 [8874]~P100(x88741)+~P144(f822(f60(x88741),x88743))+~P144(f822(f60(x88741),x88742))+E(f822(f822(f97(f892(x88741,a882)),x88742),x88743),f182(f892(x88741,a882)))+E(f822(f822(f96(x88741),f15(x88741,f822(f822(f96(f892(x88741,a882)),x88742),x88743))),f15(x88741,f822(f822(f97(f892(x88741,a882)),x88742),x88743))),f822(f822(f96(x88741),f15(x88741,x88742)),f15(x88741,x88743)))
% 218.59/218.72 [8875]~P100(x88751)+~P144(f822(f60(x88751),x88753))+~P144(f822(f60(x88751),x88752))+E(f822(f822(f97(f892(x88751,a882)),x88752),x88753),f182(f892(x88751,a882)))+E(f822(f822(f97(x88751),f12(x88751,f822(f822(f96(f892(x88751,a882)),x88752),x88753))),f12(x88751,f822(f822(f97(f892(x88751,a882)),x88752),x88753))),f822(f822(f97(x88751),f12(x88751,x88752)),f12(x88751,x88753)))
% 218.59/218.72 [9085]~P92(x90851)+~P144(f822(f60(x90851),x90853))+~P144(f822(f60(x90851),x90852))+E(f822(f822(f97(f892(x90851,a882)),x90852),x90853),f182(f892(x90851,a882)))+E(f822(f822(f230(x90851),f14(x90851,f230(x90851),f822(f822(f96(f892(x90851,a882)),x90852),x90853))),f14(x90851,f230(x90851),f822(f822(f97(f892(x90851,a882)),x90852),x90853))),f822(f822(f230(x90851),f14(x90851,f230(x90851),x90852)),f14(x90851,f230(x90851),x90853)))
% 218.59/218.72 [9086]~P92(x90861)+~P144(f822(f60(x90861),x90863))+~P144(f822(f60(x90861),x90862))+E(f822(f822(f97(f892(x90861,a882)),x90862),x90863),f182(f892(x90861,a882)))+E(f822(f822(f181(x90861),f13(x90861,f181(x90861),f822(f822(f96(f892(x90861,a882)),x90862),x90863))),f13(x90861,f181(x90861),f822(f822(f97(f892(x90861,a882)),x90862),x90863))),f822(f822(f181(x90861),f13(x90861,f181(x90861),x90862)),f13(x90861,f181(x90861),x90863)))
% 218.59/218.72 [9890]~P90(x98903)+E(x98901,x98902)+~P144(f822(f822(f226(x98903),f2(x98903)),x98902))+~P144(f822(f822(f226(x98903),f2(x98903)),x98901))+~E(f822(f822(f235(x98903),x98901),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))),f822(f822(f235(x98903),x98902),f822(f99(a885),f822(f822(f79(a1),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)),f822(f822(f3(a1),f822(f822(f79(a1),a82),a82)),a92)))))
% 218.59/218.72 [5888]~P5(x58882)+E(x58881,f2(x58882))+~E(f822(f822(f35(x58882),x58883),x58881),x58884)+E(x58883,f822(f822(f80(x58882),x58884),x58881))+~P144(f822(f822(f276(x58882),x58881),x58883))
% 218.59/218.72 [5889]~P5(x58892)+E(x58891,f2(x58892))+~E(x58893,f822(f822(f80(x58892),x58894),x58891))+E(f822(f822(f35(x58892),x58893),x58891),x58894)+~P144(f822(f822(f276(x58892),x58891),x58893))
% 218.59/218.72 [6373]E(f371(x63731,x63732,x63733),x63734)+E(f822(x63731,x63734),f2(a885))+~E(f822(f822(f8(x63733,a885),x63731),x63732),f77(a885))+~P144(f822(f60(x63733),x63732))+~P144(f822(f822(f318(x63733),x63734),x63732))
% 218.59/218.72 [6442]E(f366(x64421,x64422,x64423),x64424)+E(f822(x64421,x64424),f2(a885))+~E(f822(f822(f8(x64423,a885),x64421),x64422),f822(a107,f2(a885)))+~P144(f822(f60(x64423),x64422))+~P144(f822(f822(f318(x64423),x64424),x64422))
% 218.59/218.72 [6556]~P92(x65561)+~P7(x65561)+P144(f822(f822(f227(x65561),x65562),f36(x65561,x65563)))+~P144(f822(f822(f318(x65561),x65564),x65563))+~P144(f822(f822(f227(x65561),x65562),x65564))
% 218.59/218.72 [6737]~P92(x67371)+~P7(x67371)+~P144(f822(f822(f318(x67371),x67374),x67372))+P144(f822(f822(f227(x67371),f37(x67371,x67372)),x67373))+~P144(f822(f822(f227(x67371),x67374),x67373))
% 218.59/218.72 [7010]~P90(x70103)+E(x70101,x70102)+~E(f822(f822(f235(x70103),x70101),f822(a107,x70104)),f822(f822(f235(x70103),x70102),f822(a107,x70104)))+~P144(f822(f822(f226(x70103),f2(x70103)),x70102))+~P144(f822(f822(f226(x70103),f2(x70103)),x70101))
% 218.59/218.72 [7226]~E(f372(x72262,x72263,x72261,x72264),x72264)+~E(f822(x72262,x72264),f77(a885))+E(f822(f822(f8(x72261,a885),x72262),x72263),f77(a885))+~P144(f822(f60(x72261),x72263))+~P144(f822(f822(f318(x72261),x72264),x72263))
% 218.59/218.72 [7233]~P112(x72334)+~P129(x72334)+E(f822(x72331,f423(x72331,x72332,x72333,x72334)),f2(x72334))+~E(f822(f822(f11(x72333,x72334),x72331),x72332),f2(x72334))+~P144(f822(f60(x72333),x72332))
% 218.59/218.72 [7321]~E(f367(x73212,x73213,x73211,x73214),x73214)+~E(f822(x73212,x73214),f822(a107,f2(a885)))+E(f822(f822(f8(x73211,a885),x73212),x73213),f822(a107,f2(a885)))+~P144(f822(f60(x73211),x73213))+~P144(f822(f822(f318(x73211),x73214),x73213))
% 218.59/218.72 [8083]~E(f822(x80832,x80834),f77(a885))+~E(f822(x80832,f372(x80832,x80833,x80831,x80834)),f2(a885))+E(f822(f822(f8(x80831,a885),x80832),x80833),f77(a885))+~P144(f822(f60(x80831),x80833))+~P144(f822(f822(f318(x80831),x80834),x80833))
% 218.59/218.72 [8122]~E(f822(x81222,x81224),f822(a107,f2(a885)))+~E(f822(x81222,f367(x81222,x81223,x81221,x81224)),f2(a885))+E(f822(f822(f8(x81221,a885),x81222),x81223),f822(a107,f2(a885)))+~P144(f822(f60(x81221),x81223))+~P144(f822(f822(f318(x81221),x81224),x81223))
% 218.59/218.72 [8208]~P143(x82082)+~P120(x82082)+~P144(f822(x82081,x82084))+~P144(f822(f822(f276(x82082),x82083),f822(f822(f79(x82082),x82084),f2(x82082))))+P144(f822(x82081,f822(f822(f80(x82082),x82083),f859(x82083,x82081,x82082))))
% 218.59/218.72 [8663]~P92(x86631)+~P15(x86631,x86634)+P15(x86631,x86632)+~E(x86632,f822(f822(f143(x86631),x86633),x86634))+~P144(f822(f822(f226(x86631),x86633),f743(x86632,x86631,x86634,x86633)))
% 218.59/218.72 [8697]E(x86971,x86972)+E(f822(f822(f79(a1),f397(x86973,x86972,x86974,x86971)),f398(x86973,x86972,x86974,x86971)),x86971)+~E(f822(f822(f3(a1),x86971),x86974),x86972)+~P144(f822(f822(f227(a1),f2(a1)),x86974))+~P144(f822(f822(f318(a1),x86972),x86973))
% 218.59/218.72 [8698]E(x86981,x86982)+E(f822(f822(f3(a1),f395(x86983,x86982,x86984,x86981)),f396(x86983,x86982,x86984,x86981)),x86981)+~E(f822(f822(f79(a1),x86981),x86984),x86982)+~P144(f822(f822(f227(a1),f2(a1)),x86984))+~P144(f822(f822(f318(a1),x86982),x86983))
% 218.59/218.72 [8870]E(f822(x88701,f840(x88702,x88701,x88703,x88704)),x88702)+P144(f822(f822(f226(a885),x88704),f841(x88702,x88701,x88703,x88704)))+~P144(f822(f822(f226(a1),x88702),f822(x88701,x88703)))+~P144(f822(f822(f227(a885),x88704),x88703))+~P144(f822(f822(f226(a1),f822(x88701,x88704)),x88702))
% 218.59/218.72 [8871]~P92(x88711)+~P15(x88711,x88713)+P15(x88711,x88712)+~E(x88712,f822(f822(f143(x88711),x88714),x88713))+P144(f822(f822(f318(x88711),f743(x88712,x88711,x88713,x88714)),f822(f164(x88711),x88713)))
% 218.59/218.72 [8889]~P112(x88894)+~P129(x88894)+~E(f822(f822(f11(x88891,x88894),x88892),x88893),f2(x88894))+~P144(f822(f60(x88891),x88893))+P144(f822(f822(f318(x88891),f423(x88892,x88893,x88891,x88894)),x88893))
% 218.59/218.72 [8925]~E(f822(x89252,x89254),f77(a885))+E(f822(f822(f8(x89251,a885),x89252),x89253),f77(a885))+~P144(f822(f60(x89251),x89253))+~P144(f822(f822(f318(x89251),x89254),x89253))+P144(f822(f822(f318(x89251),f372(x89252,x89253,x89251,x89254)),x89253))
% 218.59/218.72 [8937]E(x89371,x89372)+~E(f822(f822(f79(a1),x89372),x89374),x89371)+~P144(f822(f822(f227(a1),f2(a1)),x89374))+~P144(f822(f822(f318(a1),x89371),x89373))+P144(f822(f822(f318(a1),f395(x89373,x89371,x89374,x89372)),x89373))
% 218.59/218.72 [8938]E(x89381,x89382)+~E(f822(f822(f3(a1),x89382),x89384),x89381)+~P144(f822(f822(f227(a1),f2(a1)),x89384))+~P144(f822(f822(f318(a1),x89381),x89383))+P144(f822(f822(f318(a1),f397(x89383,x89381,x89384,x89382)),x89383))
% 218.59/218.72 [8940]~E(f822(x89402,x89404),f822(a107,f2(a885)))+E(f822(f822(f8(x89401,a885),x89402),x89403),f822(a107,f2(a885)))+~P144(f822(f60(x89401),x89403))+~P144(f822(f822(f318(x89401),x89404),x89403))+P144(f822(f822(f318(x89401),f367(x89402,x89403,x89401,x89404)),x89403))
% 218.59/218.72 [8945]P60(x89452,x89453,x89454,x89451)+E(x89451,f182(f892(x89452,a882)))+~P144(f822(f60(x89452),x89454))+~P144(f822(f60(x89452),x89451))+P144(f822(f822(f318(x89452),f809(x89453,x89451,x89454,x89452)),x89454))
% 218.59/218.72 [8946]P60(x89462,x89463,x89464,x89461)+E(x89461,f182(f892(x89462,a882)))+~P144(f822(f60(x89462),x89464))+~P144(f822(f60(x89462),x89461))+P144(f822(f822(f318(x89462),f489(x89461,x89464,x89463,x89462)),x89464))
% 218.59/218.72 [8947]P60(x89472,x89473,x89474,x89471)+E(x89471,f182(f892(x89472,a882)))+~P144(f822(f60(x89472),x89474))+~P144(f822(f60(x89472),x89471))+P144(f822(f822(f318(x89472),f810(x89471,x89474,x89473,x89472)),x89474))
% 218.59/218.72 [9017]E(x90171,x90172)+~E(f822(f822(f79(a1),x90172),x90174),x90171)+~P144(f822(f822(f227(a1),f2(a1)),x90174))+~P144(f822(f822(f318(a1),x90171),x90173))+P144(f822(f822(f318(a1),f396(x90173,x90171,x90174,x90172)),f292(a1,f77(a1),x90174)))
% 218.59/218.72 [9018]E(x90181,x90182)+~E(f822(f822(f3(a1),x90182),x90184),x90181)+~P144(f822(f822(f227(a1),f2(a1)),x90184))+~P144(f822(f822(f318(a1),x90181),x90183))+P144(f822(f822(f318(a1),f398(x90183,x90181,x90184,x90182)),f292(a1,f77(a1),x90184)))
% 218.59/218.72 [9091]P144(f822(f822(f226(a885),x90911),f840(x90912,x90913,x90914,x90911)))+~P144(f822(f822(f226(a1),x90912),f822(x90913,x90914)))+P144(f822(f822(f226(a885),x90911),f841(x90912,x90913,x90914,x90911)))+~P144(f822(f822(f227(a885),x90911),x90914))+~P144(f822(f822(f226(a1),f822(x90913,x90911)),x90912))
% 218.59/218.72 [9214]E(f822(x92141,f840(x92142,x92141,x92143,x92144)),x92142)+~P144(f822(f822(f226(a1),x92142),f822(x92141,x92143)))+P144(f822(f822(f227(a885),f841(x92142,x92141,x92143,x92144)),x92143))+~P144(f822(f822(f227(a885),x92144),x92143))+~P144(f822(f822(f226(a1),f822(x92141,x92144)),x92142))
% 218.59/218.72 [9324]~P144(f822(f822(f276(a885),x93244),x93241))+~P144(f822(f822(f276(a885),x93244),x93243))+~P144(f822(f822(f276(a885),x93242),x93241))+P144(f822(f822(f276(a885),x93241),x93242))+P144(f822(f822(f227(f892(a885,a882)),f279(a885,f276(a885),x93243,x93242)),f279(a885,f276(a885),x93244,x93241)))
% 218.59/218.72 [9325]~P144(f822(f822(f276(a885),x93252),x93251))+~P144(f822(f822(f276(a885),x93253),x93254))+~P144(f822(f822(f276(a885),x93252),x93254))+P144(f822(f822(f276(a885),x93251),x93252))+P144(f822(f822(f227(f892(a885,a882)),f279(a885,f276(a885),x93251,x93253)),f279(a885,f276(a885),x93252,x93254)))
% 218.59/218.72 [9341]~P144(f822(f822(f226(a1),x93412),f822(x93413,x93414)))+P144(f822(f822(f226(a885),x93411),f841(x93412,x93413,x93414,x93411)))+P144(f822(f822(f226(a885),f840(x93412,x93413,x93414,x93411)),x93414))+~P144(f822(f822(f227(a885),x93411),x93414))+~P144(f822(f822(f226(a1),f822(x93413,x93411)),x93412))
% 218.59/218.72 [9342]~P144(f822(f822(f226(a1),x93422),f822(x93423,x93424)))+P144(f822(f822(f226(a885),x93421),f840(x93422,x93423,x93424,x93421)))+P144(f822(f822(f227(a885),f841(x93422,x93423,x93424,x93421)),x93424))+~P144(f822(f822(f227(a885),x93421),x93424))+~P144(f822(f822(f226(a1),f822(x93423,x93421)),x93422))
% 218.59/218.72 [9446]~P144(f822(f822(f226(a1),x94461),f822(x94462,x94463)))+P144(f822(f822(f226(a885),f840(x94461,x94462,x94463,x94464)),x94463))+~P144(f822(f822(f227(a885),x94464),x94463))+~P144(f822(f822(f226(a1),f822(x94462,x94464)),x94461))+P144(f822(f822(f227(a885),f841(x94461,x94462,x94463,x94464)),x94463))
% 218.59/218.72 [9538]E(x95381,f182(f892(x95382,a882)))+~P144(f822(f60(x95382),x95384))+~P144(f822(f60(x95382),x95381))+P144(f822(f822(f318(f891(f892(x95382,a882),f892(x95382,a882))),f822(f822(f243(f892(x95382,a882),f892(x95382,a882)),x95384),x95381)),f307(x95382,x95383)))+P144(f822(f822(f318(x95382),f491(x95383,x95381,x95384,x95382)),x95384))
% 218.59/218.72 [9539]E(x95391,f182(f892(x95392,a882)))+~P144(f822(f60(x95392),x95394))+~P144(f822(f60(x95392),x95391))+P144(f822(f822(f318(f891(f892(x95392,a882),f892(x95392,a882))),f822(f822(f243(f892(x95392,a882),f892(x95392,a882)),x95394),x95391)),f307(x95392,x95393)))+P144(f822(f822(f318(x95392),f582(x95393,x95391,x95394,x95392)),x95394))
% 218.59/218.72 [10203]E(f822(x102031,f840(x102032,x102031,x102033,x102034)),x102032)+~P144(f822(f822(f226(a1),x102032),f822(x102031,x102033)))+~P144(f822(f822(f226(a1),f822(f75(a1),f822(f822(f3(a1),f822(x102031,f822(f822(f79(a885),f841(x102032,x102031,x102033,x102034)),f77(a885)))),f822(x102031,f841(x102032,x102031,x102033,x102034))))),f77(a1)))+~P144(f822(f822(f227(a885),x102034),x102033))+~P144(f822(f822(f226(a1),f822(x102031,x102034)),x102032))
% 218.59/218.72 [10204]~P144(f822(f822(f226(a1),x102042),f822(x102043,x102044)))+P144(f822(f822(f226(a885),x102041),f840(x102042,x102043,x102044,x102041)))+~P144(f822(f822(f226(a1),f822(f75(a1),f822(f822(f3(a1),f822(x102043,f822(f822(f79(a885),f841(x102042,x102043,x102044,x102041)),f77(a885)))),f822(x102043,f841(x102042,x102043,x102044,x102041))))),f77(a1)))+~P144(f822(f822(f227(a885),x102041),x102044))+~P144(f822(f822(f226(a1),f822(x102043,x102041)),x102042))
% 218.59/218.72 [10205]~P144(f822(f822(f226(a1),x102051),f822(x102052,x102053)))+~P144(f822(f822(f226(a1),f822(f75(a1),f822(f822(f3(a1),f822(x102052,f822(f822(f79(a885),f841(x102051,x102052,x102053,x102054)),f77(a885)))),f822(x102052,f841(x102051,x102052,x102053,x102054))))),f77(a1)))+~P144(f822(f822(f227(a885),x102054),x102053))+~P144(f822(f822(f226(a1),f822(x102052,x102054)),x102051))+P144(f822(f822(f226(a885),f840(x102051,x102052,x102053,x102054)),x102053))
% 218.59/218.72 [7284]~P66(x72841)+P144(f822(f822(f227(x72841),x72842),f2(x72841)))+~P144(f822(f822(f227(x72841),x72843),f2(x72841)))+P144(f822(f822(f227(x72841),f2(x72841)),x72842))+P144(f822(f822(f227(x72841),x72843),f822(f822(f280(x72841),x72844),x72842)))
% 218.59/218.72 [7285]~P66(x72851)+P144(f822(f822(f227(x72851),x72852),f2(x72851)))+~P144(f822(f822(f226(x72851),x72853),f2(x72851)))+P144(f822(f822(f227(x72851),f2(x72851)),x72852))+P144(f822(f822(f226(x72851),x72853),f822(f822(f280(x72851),x72854),x72852)))
% 218.59/218.72 [7552]~P66(x75521)+P144(f822(f822(f227(x75521),x75522),f2(x75521)))+P144(f822(f822(f227(x75521),x75523),f2(x75521)))+P144(f822(f822(f227(x75521),f2(x75521)),x75523))+~P144(f822(f822(f227(x75521),x75522),f822(f822(f280(x75521),x75524),x75523)))
% 218.59/218.72 [7553]~P66(x75531)+P144(f822(f822(f227(x75531),x75532),f2(x75531)))+P144(f822(f822(f226(x75531),x75533),f2(x75531)))+P144(f822(f822(f227(x75531),f2(x75531)),x75532))+~P144(f822(f822(f226(x75531),x75533),f822(f822(f280(x75531),x75534),x75532)))
% 218.59/218.72 [7673]E(x76731,x76732)+~E(f822(f822(f156(x76733),x76734),x76731),f822(f822(f156(x76733),x76734),x76732))+~P144(f822(f129(x76733),x76734))+~P144(f822(f822(f227(a885),x76732),f822(f183(f887(x76733)),x76734)))+~P144(f822(f822(f227(a885),x76731),f822(f183(f887(x76733)),x76734)))
% 218.59/218.72 [8043]~P66(x80431)+~P144(f822(f822(f227(x80431),x80433),f2(x80431)))+P144(f822(f822(f227(x80431),f2(x80431)),x80432))+~P144(f822(f822(f227(x80431),x80434),f822(f822(f80(x80431),x80433),x80432)))+P144(f822(f822(f227(x80431),x80433),f822(f822(f280(x80431),x80434),x80432)))
% 218.59/218.72 [8044]~P66(x80441)+~P144(f822(f822(f226(x80441),x80443),f2(x80441)))+P144(f822(f822(f227(x80441),f2(x80441)),x80442))+~P144(f822(f822(f226(x80441),x80444),f822(f822(f80(x80441),x80443),x80442)))+P144(f822(f822(f226(x80441),x80443),f822(f822(f280(x80441),x80444),x80442)))
% 218.59/218.72 [8045]~P66(x80451)+~P144(f822(f822(f227(x80451),x80452),f2(x80451)))+P144(f822(f822(f227(x80451),f2(x80451)),x80452))+~P144(f822(f822(f227(x80451),x80454),f822(f822(f80(x80451),x80453),x80452)))+P144(f822(f822(f227(x80451),x80453),f822(f822(f280(x80451),x80454),x80452)))
% 218.59/218.72 [8046]~P66(x80461)+~P144(f822(f822(f227(x80461),x80462),f2(x80461)))+P144(f822(f822(f227(x80461),f2(x80461)),x80462))+~P144(f822(f822(f227(x80461),x80464),f822(f822(f280(x80461),x80463),x80462)))+P144(f822(f822(f227(x80461),x80463),f822(f822(f80(x80461),x80464),x80462)))
% 218.59/218.72 [8047]~P66(x80471)+~P144(f822(f822(f227(x80471),x80472),f2(x80471)))+P144(f822(f822(f227(x80471),f2(x80471)),x80472))+~P144(f822(f822(f226(x80471),x80474),f822(f822(f80(x80471),x80473),x80472)))+P144(f822(f822(f226(x80471),x80473),f822(f822(f280(x80471),x80474),x80472)))
% 218.59/218.72 [8048]~P66(x80481)+~P144(f822(f822(f227(x80481),x80482),f2(x80481)))+P144(f822(f822(f227(x80481),f2(x80481)),x80482))+~P144(f822(f822(f226(x80481),x80484),f822(f822(f280(x80481),x80483),x80482)))+P144(f822(f822(f226(x80481),x80483),f822(f822(f80(x80481),x80484),x80482)))
% 218.59/218.72 [8175]~P5(x81751)+~P144(f822(f822(f276(x81751),x81753),x81754))+~P144(f822(f822(f276(x81751),x81753),x81752))+~P144(f822(f822(f276(x81751),x81752),x81754))+P144(f822(f822(f276(x81751),f822(f822(f35(x81751),x81752),x81753)),f822(f822(f35(x81751),x81754),x81753)))
% 218.59/218.72 [8190]~P92(x81901)+~P15(x81901,x81902)+~P144(f822(f822(f226(a885),x81903),x81904))+P144(f822(f822(f226(x81901),f822(f822(f156(x81901),x81902),x81903)),f822(f822(f156(x81901),x81902),x81904)))+~P144(f822(f822(f227(a885),x81904),f822(f183(f887(x81901)),x81902)))
% 218.59/218.72 [8243]~P90(x82431)+~P144(f822(f822(f227(x82431),x82432),f77(x82431)))+~P144(f822(f822(f227(x82431),f2(x82431)),x82432))+~P144(f822(f822(f227(a885),x82434),x82433))+P144(f822(f822(f227(x82431),f822(f822(f235(x82431),x82432),x82433)),f822(f822(f235(x82431),x82432),x82434)))
% 218.59/218.72 [8244]~P90(x82441)+~P144(f822(f822(f226(x82441),x82442),f77(x82441)))+~P144(f822(f822(f226(x82441),f2(x82441)),x82442))+~P144(f822(f822(f226(a885),x82444),x82443))+P144(f822(f822(f226(x82441),f822(f822(f235(x82441),x82442),x82443)),f822(f822(f235(x82441),x82442),x82444)))
% 218.59/218.72 [8245]~P90(x82451)+~P144(f822(f822(f226(x82451),f2(x82451)),x82452))+~P144(f822(f822(f227(a885),f2(a885)),x82453))+~P144(f822(f822(f227(x82451),x82452),x82454))+P144(f822(f822(f227(x82451),f822(f822(f235(x82451),x82452),x82453)),f822(f822(f235(x82451),x82454),x82453)))
% 218.59/218.72 [8263]~P92(x82631)+~P15(x82631,f822(f160(x82631),x82632))+~P144(f822(f822(f226(a885),x82634),x82633))+P144(f822(f822(f226(x82631),f822(f822(f156(x82631),x82632),x82633)),f822(f822(f156(x82631),x82632),x82634)))+~P144(f822(f822(f227(a885),x82633),f822(f183(f887(x82631)),x82632)))
% 218.59/218.72 [8487]~P5(x84871)+P144(f822(f822(f276(x84871),x84872),x84873))+~P144(f822(f822(f276(x84871),x84874),x84873))+~P144(f822(f822(f276(x84871),x84874),x84872))+~P144(f822(f822(f276(x84871),f822(f822(f35(x84871),x84872),x84874)),f822(f822(f35(x84871),x84873),x84874)))
% 218.59/218.72 [8502]~P67(x85021)+~P144(f822(f822(f227(x85021),x85022),f2(x85021)))+~P144(f822(f822(f227(x85021),x85023),x85024))+~P144(f822(f822(f227(x85021),f2(x85021)),f822(f822(f80(x85021),x85023),x85024)))+P144(f822(f822(f227(x85021),f822(f822(f280(x85021),x85022),x85023)),f822(f822(f280(x85021),x85022),x85024)))
% 218.59/218.72 [8503]~P66(x85031)+~P144(f822(f822(f226(x85031),x85032),f2(x85031)))+~P144(f822(f822(f226(x85031),x85033),x85034))+~P144(f822(f822(f227(x85031),f2(x85031)),f822(f822(f80(x85031),x85033),x85034)))+P144(f822(f822(f226(x85031),f822(f822(f280(x85031),x85032),x85033)),f822(f822(f280(x85031),x85032),x85034)))
% 218.59/218.72 [8512]~P67(x85121)+~P144(f822(f822(f227(x85121),x85124),x85123))+~P144(f822(f822(f227(x85121),f2(x85121)),x85122))+~P144(f822(f822(f227(x85121),f2(x85121)),f822(f822(f80(x85121),x85123),x85124)))+P144(f822(f822(f227(x85121),f822(f822(f280(x85121),x85122),x85123)),f822(f822(f280(x85121),x85122),x85124)))
% 218.59/218.72 [8513]~P67(x85131)+~P144(f822(f822(f226(x85131),x85134),x85133))+~P144(f822(f822(f226(x85131),f2(x85131)),x85132))+~P144(f822(f822(f227(x85131),f2(x85131)),f822(f822(f80(x85131),x85133),x85134)))+P144(f822(f822(f226(x85131),f822(f822(f280(x85131),x85132),x85133)),f822(f822(f280(x85131),x85132),x85134)))
% 218.59/218.72 [8614]P144(f822(x86141,x86142))+~P144(f822(f60(x86144),x86142))+P144(f822(x86141,f448(x86141,x86143,x86142,x86144)))+~P144(f822(x86141,f182(f892(x86144,a882))))+~P144(f822(f822(f226(f892(x86144,a882)),x86142),x86143))
% 218.59/218.72 [8622]P144(f822(x86221,x86222))+P144(f822(f60(x86223),f448(x86221,x86224,x86222,x86223)))+~P144(f822(f60(x86223),x86222))+~P144(f822(x86221,f182(f892(x86223,a882))))+~P144(f822(f822(f226(f892(x86223,a882)),x86222),x86224))
% 218.59/218.72 [8865]E(f822(f822(f79(a1),f399(x88651,x88652,x88653,x88654)),f400(x88651,x88652,x88653,x88654)),x88654)+~P144(f822(f822(f227(a1),f2(a1)),x88653))+~P144(f822(f822(f227(a1),x88652),x88654))+~P144(f822(f822(f318(a1),x88652),x88651))+P144(f822(f822(f227(a1),x88652),f822(f822(f3(a1),x88654),x88653)))
% 218.59/218.72 [9073]~P144(f822(f822(f227(a1),f2(a1)),x90733))+~P144(f822(f822(f227(a1),x90732),x90734))+~P144(f822(f822(f318(a1),x90732),x90731))+P144(f822(f822(f318(a1),f399(x90731,x90732,x90733,x90734)),x90731))+P144(f822(f822(f227(a1),x90732),f822(f822(f3(a1),x90734),x90733)))
% 218.59/218.72 [9084]P144(f822(x90841,x90842))+~P144(f822(f60(x90843),x90842))+P144(f822(f822(f318(x90843),f449(x90841,x90844,x90842,x90843)),x90844))+~P144(f822(x90841,f182(f892(x90843,a882))))+~P144(f822(f822(f226(f892(x90843,a882)),x90842),x90844))
% 218.59/218.72 [9101]E(f822(f822(f79(a1),f385(x91011,x91012,x91013,x91014)),f386(x91011,x91012,x91013,x91014)),x91014)+~P144(f822(f822(f227(a1),f2(a1)),x91013))+~P144(f822(f822(f226(a1),x91012),x91014))+P144(f822(f822(f226(a1),x91012),f822(f822(f3(a1),x91014),x91013)))+~P144(f822(f822(f318(a1),f822(f822(f3(a1),x91012),f77(a1))),x91011))
% 218.59/218.72 [9154]~P144(f822(f822(f227(a1),f2(a1)),x91543))+~P144(f822(f822(f227(a1),x91541),x91542))+~P144(f822(f822(f318(a1),x91541),x91544))+P144(f822(f822(f318(a1),f400(x91544,x91541,x91543,x91542)),f292(a1,f77(a1),x91543)))+P144(f822(f822(f227(a1),x91541),f822(f822(f3(a1),x91542),x91543)))
% 218.59/218.72 [9187]~P72(x91872)+~E(f792(x91873,x91874,x91871,x91872),f793(x91873,x91874,x91871,x91872))+~P144(f822(f60(x91871),f794(x91873,x91874,x91871,x91872)))+E(f822(f822(f8(f892(x91871,a882),x91872),f822(f8(x91871,x91872),x91873)),x91874),f822(f822(f8(x91871,x91872),x91873),f36(f892(x91871,a882),x91874)))+~P144(f822(f60(f892(x91871,a882)),x91874))
% 218.59/218.72 [9193]~P72(x91932)+~E(f822(x91933,f795(x91933,x91934,x91931,x91932)),f2(x91932))+~P144(f822(f60(x91931),f794(x91933,x91934,x91931,x91932)))+E(f822(f822(f8(f892(x91931,a882),x91932),f822(f8(x91931,x91932),x91933)),x91934),f822(f822(f8(x91931,x91932),x91933),f36(f892(x91931,a882),x91934)))+~P144(f822(f60(f892(x91931,a882)),x91934))
% 218.59/218.72 [9258]~P144(f822(f822(f227(a1),f2(a1)),x92583))+~P144(f822(f822(f226(a1),x92582),x92584))+P144(f822(f822(f318(a1),f385(x92581,x92582,x92583,x92584)),x92581))+P144(f822(f822(f226(a1),x92582),f822(f822(f3(a1),x92584),x92583)))+~P144(f822(f822(f318(a1),f822(f822(f3(a1),x92582),f77(a1))),x92581))
% 218.59/218.72 [9299]~P144(f822(f822(f227(a1),f2(a1)),x92993))+~P144(f822(f822(f226(a1),x92991),x92992))+P144(f822(f822(f318(a1),f386(x92994,x92991,x92993,x92992)),f292(a1,f77(a1),x92993)))+P144(f822(f822(f226(a1),x92991),f822(f822(f3(a1),x92992),x92993)))+~P144(f822(f822(f318(a1),f822(f822(f3(a1),x92991),f77(a1))),x92994))
% 218.59/218.72 [9320]~P72(x93202)+~E(f792(x93203,x93204,x93201,x93202),f793(x93203,x93204,x93201,x93202))+E(f822(f822(f8(f892(x93201,a882),x93202),f822(f8(x93201,x93202),x93203)),x93204),f822(f822(f8(x93201,x93202),x93203),f36(f892(x93201,a882),x93204)))+P144(f822(f822(f318(f892(x93201,a882)),f794(x93203,x93204,x93201,x93202)),x93204))+~P144(f822(f60(f892(x93201,a882)),x93204))
% 218.59/218.72 [9327]~P72(x93272)+~E(f822(x93273,f795(x93273,x93274,x93271,x93272)),f2(x93272))+E(f822(f822(f8(f892(x93271,a882),x93272),f822(f8(x93271,x93272),x93273)),x93274),f822(f822(f8(x93271,x93272),x93273),f36(f892(x93271,a882),x93274)))+P144(f822(f822(f318(f892(x93271,a882)),f794(x93273,x93274,x93271,x93272)),x93274))+~P144(f822(f60(f892(x93271,a882)),x93274))
% 218.59/218.72 [9424]~P72(x94242)+~P144(f822(f60(x94241),f794(x94243,x94244,x94241,x94242)))+E(f822(f822(f8(f892(x94241,a882),x94242),f822(f8(x94241,x94242),x94243)),x94244),f822(f822(f8(x94241,x94242),x94243),f36(f892(x94241,a882),x94244)))+P144(f822(f822(f318(f892(x94241,a882)),f793(x94243,x94244,x94241,x94242)),x94244))+~P144(f822(f60(f892(x94241,a882)),x94244))
% 218.59/218.72 [9425]~P72(x94252)+~P144(f822(f60(x94251),f794(x94253,x94254,x94251,x94252)))+E(f822(f822(f8(f892(x94251,a882),x94252),f822(f8(x94251,x94252),x94253)),x94254),f822(f822(f8(x94251,x94252),x94253),f36(f892(x94251,a882),x94254)))+P144(f822(f822(f318(f892(x94251,a882)),f792(x94253,x94254,x94251,x94252)),x94254))+~P144(f822(f60(f892(x94251,a882)),x94254))
% 218.59/218.72 [9503]~P72(x95032)+E(f822(f822(f8(f892(x95031,a882),x95032),f822(f8(x95031,x95032),x95033)),x95034),f822(f822(f8(x95031,x95032),x95033),f36(f892(x95031,a882),x95034)))+P144(f822(f822(f318(f892(x95031,a882)),f794(x95033,x95034,x95031,x95032)),x95034))+P144(f822(f822(f318(f892(x95031,a882)),f793(x95033,x95034,x95031,x95032)),x95034))+~P144(f822(f60(f892(x95031,a882)),x95034))
% 218.59/218.72 [9504]~P72(x95042)+E(f822(f822(f8(f892(x95041,a882),x95042),f822(f8(x95041,x95042),x95043)),x95044),f822(f822(f8(x95041,x95042),x95043),f36(f892(x95041,a882),x95044)))+P144(f822(f822(f318(f892(x95041,a882)),f794(x95043,x95044,x95041,x95042)),x95044))+P144(f822(f822(f318(f892(x95041,a882)),f792(x95043,x95044,x95041,x95042)),x95044))+~P144(f822(f60(f892(x95041,a882)),x95044))
% 218.59/218.72 [9524]~P72(x95242)+P144(f822(f822(f318(x95241),f795(x95243,x95244,x95241,x95242)),f793(x95243,x95244,x95241,x95242)))+~P144(f822(f60(x95241),f794(x95243,x95244,x95241,x95242)))+E(f822(f822(f8(f892(x95241,a882),x95242),f822(f8(x95241,x95242),x95243)),x95244),f822(f822(f8(x95241,x95242),x95243),f36(f892(x95241,a882),x95244)))+~P144(f822(f60(f892(x95241,a882)),x95244))
% 218.59/218.72 [9525]~P72(x95252)+P144(f822(f822(f318(x95251),f795(x95253,x95254,x95251,x95252)),f792(x95253,x95254,x95251,x95252)))+~P144(f822(f60(x95251),f794(x95253,x95254,x95251,x95252)))+E(f822(f822(f8(f892(x95251,a882),x95252),f822(f8(x95251,x95252),x95253)),x95254),f822(f822(f8(x95251,x95252),x95253),f36(f892(x95251,a882),x95254)))+~P144(f822(f60(f892(x95251,a882)),x95254))
% 218.59/218.72 [9542]P144(f822(x95421,x95422))+~P144(f822(f822(f318(x95423),f449(x95421,x95424,x95422,x95423)),f448(x95421,x95424,x95422,x95423)))+~P144(f822(f60(x95423),x95422))+~P144(f822(x95421,f182(f892(x95423,a882))))+~P144(f822(f822(f226(f892(x95423,a882)),x95422),x95424))
% 218.59/218.72 [9576]~P72(x95762)+P144(f822(f822(f318(x95761),f795(x95763,x95764,x95761,x95762)),f793(x95763,x95764,x95761,x95762)))+E(f822(f822(f8(f892(x95761,a882),x95762),f822(f8(x95761,x95762),x95763)),x95764),f822(f822(f8(x95761,x95762),x95763),f36(f892(x95761,a882),x95764)))+P144(f822(f822(f318(f892(x95761,a882)),f794(x95763,x95764,x95761,x95762)),x95764))+~P144(f822(f60(f892(x95761,a882)),x95764))
% 218.59/218.72 [9577]~P72(x95772)+P144(f822(f822(f318(x95771),f795(x95773,x95774,x95771,x95772)),f792(x95773,x95774,x95771,x95772)))+E(f822(f822(f8(f892(x95771,a882),x95772),f822(f8(x95771,x95772),x95773)),x95774),f822(f822(f8(x95771,x95772),x95773),f36(f892(x95771,a882),x95774)))+P144(f822(f822(f318(f892(x95771,a882)),f794(x95773,x95774,x95771,x95772)),x95774))+~P144(f822(f60(f892(x95771,a882)),x95774))
% 218.59/218.72 [9751]P144(f822(x97511,x97512))+~P144(f822(f60(x97513),x97512))+~P144(f822(x97511,f822(f822(f298(x97513),f449(x97511,x97514,x97512,x97513)),f448(x97511,x97514,x97512,x97513))))+~P144(f822(x97511,f182(f892(x97513,a882))))+~P144(f822(f822(f226(f892(x97513,a882)),x97512),x97514))
% 218.59/218.72 [10087]~P91(x100873)+~P50(a885,x100873,f822(f822(f20(a885,f892(a885,a882),f892(a885,a882)),f822(f822(f10(f892(a885,f892(a882,a882)),f892(f892(a885,a882),f892(a885,a882)),a885),f20(a885,a882,a882)),f822(f822(f10(f892(a885,a882),f892(a885,f892(a882,a882)),a885),f822(f10(a882,f892(a882,a882),a885),a315)),f276(a885)))),f822(f822(f10(f892(a885,a882),f892(a885,a882),a885),f822(f10(a882,a882,a885),a311)),f822(f9(a885,a885,a882),f276(a885)))),x100874)+P144(f822(f822(f227(x100873),f822(x100874,x100872)),f822(x100874,x100871)))+~P144(f822(f822(f276(a885),x100872),x100871))+P144(f822(f822(f276(a885),x100871),x100872))
% 218.59/218.72 [7809]~P66(x78091)+P144(f822(f822(f227(x78091),x78092),f2(x78091)))+P144(f822(f822(f227(x78091),f2(x78091)),x78092))+~P144(f822(f822(f227(x78091),f2(x78091)),x78094))+P144(f822(f822(f227(x78091),f822(f822(f280(x78091),x78093),x78092)),x78094))
% 218.59/218.72 [7810]~P66(x78101)+P144(f822(f822(f227(x78101),x78102),f2(x78101)))+~P144(f822(f822(f226(x78101),f2(x78101)),x78104))+P144(f822(f822(f227(x78101),f2(x78101)),x78102))+P144(f822(f822(f226(x78101),f822(f822(f280(x78101),x78103),x78102)),x78104))
% 218.59/218.72 [8097]~P144(f822(f822(f226(a1),x80974),f2(a1)))+~E(x80972,f822(f822(f79(a1),f822(f822(f80(a1),x80971),x80973)),x80974))+P144(f822(f822(f227(a1),f2(a1)),x80971))+~P144(f822(f822(f227(a1),x80971),x80974))+P144(f822(f48(x80972,x80971),f822(f822(f243(a1,a1),x80973),x80974)))
% 218.59/218.72 [8131]~P144(f822(x81311,x81314))+P144(f822(x81311,f733(x81312,x81311,x81313)))+~P144(f822(f822(f227(a1),f2(a1)),x81313))+~P144(f822(f822(f226(a1),f2(a1)),x81312))+P144(f822(x81311,f822(f822(f79(a1),x81314),f822(f822(f80(a1),x81312),x81313))))
% 218.59/218.72 [8132]~P144(f822(x81321,x81324))+P144(f822(x81321,f781(x81322,x81321,x81323)))+~P144(f822(f822(f227(a1),f2(a1)),x81323))+~P144(f822(f822(f226(a1),f2(a1)),x81322))+P144(f822(x81321,f822(f822(f3(a1),x81324),f822(f822(f80(a1),x81322),x81323))))
% 218.59/218.72 [8133]~P66(x81331)+P144(f822(f822(f227(x81331),x81332),f2(x81331)))+P144(f822(f822(f227(x81331),f2(x81331)),x81332))+P144(f822(f822(f227(x81331),f2(x81331)),x81333))+~P144(f822(f822(f227(x81331),f822(f822(f280(x81331),x81334),x81332)),x81333))
% 218.59/218.72 [8134]~P66(x81341)+P144(f822(f822(f227(x81341),x81342),f2(x81341)))+P144(f822(f822(f227(x81341),f2(x81341)),x81342))+P144(f822(f822(f226(x81341),f2(x81341)),x81343))+~P144(f822(f822(f226(x81341),f822(f822(f280(x81341),x81344),x81342)),x81343))
% 218.59/218.72 [8185]~E(x81851,f822(f822(f79(a1),f822(f822(f80(a1),x81852),x81853)),x81854))+~P144(f822(f822(f227(a1),f2(a1)),x81852))+~P144(f822(f822(f226(a1),f2(a1)),x81854))+~P144(f822(f822(f227(a1),x81854),x81852))+P144(f822(f48(x81851,x81852),f822(f822(f243(a1,a1),x81853),x81854)))
% 218.59/218.72 [8302]~P66(x83021)+P144(f822(f822(f227(x83021),x83022),f2(x83021)))+~P144(f822(f822(f227(x83021),f2(x83021)),x83024))+~P144(f822(f822(f227(x83021),x83023),f822(f822(f80(x83021),x83024),x83022)))+P144(f822(f822(f227(x83021),f822(f822(f280(x83021),x83023),x83022)),x83024))
% 218.59/218.72 [8303]~P66(x83031)+P144(f822(f822(f227(x83031),x83032),f2(x83031)))+~P144(f822(f822(f226(x83031),f2(x83031)),x83034))+~P144(f822(f822(f226(x83031),x83033),f822(f822(f80(x83031),x83034),x83032)))+P144(f822(f822(f226(x83031),f822(f822(f280(x83031),x83033),x83032)),x83034))
% 218.59/218.72 [8386]~P66(x83861)+P144(f822(f822(f227(x83861),x83862),f2(x83861)))+~P144(f822(f822(f227(x83861),x83863),f2(x83861)))+P144(f822(f822(f227(x83861),x83863),f822(f822(f280(x83861),x83864),x83862)))+~P144(f822(f822(f227(x83861),f822(f822(f80(x83861),x83863),x83862)),x83864))
% 218.59/218.72 [8387]~P66(x83871)+P144(f822(f822(f227(x83871),x83872),f2(x83871)))+~P144(f822(f822(f226(x83871),x83873),f2(x83871)))+P144(f822(f822(f226(x83871),x83873),f822(f822(f280(x83871),x83874),x83872)))+~P144(f822(f822(f226(x83871),f822(f822(f80(x83871),x83873),x83872)),x83874))
% 218.59/218.72 [8534]~P66(x85341)+~P144(f822(f822(f227(x85341),x85342),f2(x85341)))+P144(f822(f822(f227(x85341),f2(x85341)),x85342))+~P144(f822(f822(f227(x85341),f822(f822(f280(x85341),x85344),x85342)),x85343))+P144(f822(f822(f227(x85341),f822(f822(f80(x85341),x85343),x85342)),x85344))
% 218.59/218.72 [8535]~P66(x85351)+~P144(f822(f822(f227(x85351),x85352),f2(x85351)))+P144(f822(f822(f227(x85351),f2(x85351)),x85352))+~P144(f822(f822(f227(x85351),f822(f822(f80(x85351),x85354),x85352)),x85353))+P144(f822(f822(f227(x85351),f822(f822(f280(x85351),x85353),x85352)),x85354))
% 218.59/218.72 [8536]~P66(x85361)+~P144(f822(f822(f227(x85361),x85362),f2(x85361)))+P144(f822(f822(f227(x85361),f2(x85361)),x85362))+~P144(f822(f822(f226(x85361),f822(f822(f280(x85361),x85364),x85362)),x85363))+P144(f822(f822(f226(x85361),f822(f822(f80(x85361),x85363),x85362)),x85364))
% 218.59/218.72 [8537]~P66(x85371)+~P144(f822(f822(f227(x85371),x85372),f2(x85371)))+P144(f822(f822(f227(x85371),f2(x85371)),x85372))+~P144(f822(f822(f226(x85371),f822(f822(f80(x85371),x85374),x85372)),x85373))+P144(f822(f822(f226(x85371),f822(f822(f280(x85371),x85373),x85372)),x85374))
% 218.59/218.72 [8553]~P66(x85531)+~P144(f822(f822(f227(x85531),f2(x85531)),x85534))+P144(f822(f822(f227(x85531),f2(x85531)),x85532))+~P144(f822(f822(f227(x85531),f822(f822(f80(x85531),x85534),x85532)),x85533))+P144(f822(f822(f227(x85531),f822(f822(f280(x85531),x85533),x85532)),x85534))
% 218.59/218.72 [8554]~P66(x85541)+~P144(f822(f822(f226(x85541),f2(x85541)),x85544))+P144(f822(f822(f227(x85541),f2(x85541)),x85542))+~P144(f822(f822(f226(x85541),f822(f822(f80(x85541),x85544),x85542)),x85543))+P144(f822(f822(f226(x85541),f822(f822(f280(x85541),x85543),x85542)),x85544))
% 218.59/218.72 [8630]~P66(x86301)+~P144(f822(f822(f227(x86301),x86304),f2(x86301)))+~P144(f822(f822(f227(x86301),x86303),f822(f822(f80(x86301),x86302),x86304)))+P144(f822(f822(f227(x86301),x86302),f822(f822(f280(x86301),x86303),x86304)))+~P144(f822(f822(f227(x86301),f822(f822(f80(x86301),x86302),x86304)),x86303))
% 218.59/218.72 [8631]~P66(x86311)+~P144(f822(f822(f227(x86311),x86312),f2(x86311)))+~P144(f822(f822(f227(x86311),x86313),f822(f822(f80(x86311),x86312),x86314)))+P144(f822(f822(f227(x86311),x86312),f822(f822(f280(x86311),x86313),x86314)))+~P144(f822(f822(f227(x86311),f822(f822(f80(x86311),x86312),x86314)),x86313))
% 218.59/218.72 [8632]~P66(x86321)+~P144(f822(f822(f227(x86321),x86324),f2(x86321)))+~P144(f822(f822(f226(x86321),x86323),f822(f822(f80(x86321),x86322),x86324)))+P144(f822(f822(f226(x86321),x86322),f822(f822(f280(x86321),x86323),x86324)))+~P144(f822(f822(f226(x86321),f822(f822(f80(x86321),x86322),x86324)),x86323))
% 218.59/218.72 [8633]~P66(x86331)+~P144(f822(f822(f226(x86331),x86332),f2(x86331)))+~P144(f822(f822(f226(x86331),x86333),f822(f822(f80(x86331),x86332),x86334)))+P144(f822(f822(f226(x86331),x86332),f822(f822(f280(x86331),x86333),x86334)))+~P144(f822(f822(f226(x86331),f822(f822(f80(x86331),x86332),x86334)),x86333))
% 218.59/218.72 [8742]~P66(x87421)+~P144(f822(f822(f227(x87421),x87423),f2(x87421)))+~P144(f822(f822(f227(x87421),x87422),f822(f822(f80(x87421),x87424),x87423)))+~P144(f822(f822(f227(x87421),f822(f822(f80(x87421),x87424),x87423)),x87422))+P144(f822(f822(f227(x87421),f822(f822(f280(x87421),x87422),x87423)),x87424))
% 218.59/218.72 [8743]~P66(x87431)+~P144(f822(f822(f227(x87431),x87433),f2(x87431)))+~P144(f822(f822(f226(x87431),x87432),f822(f822(f80(x87431),x87434),x87433)))+~P144(f822(f822(f226(x87431),f822(f822(f80(x87431),x87434),x87433)),x87432))+P144(f822(f822(f226(x87431),f822(f822(f280(x87431),x87432),x87433)),x87434))
% 218.59/218.72 [8757]~P66(x87571)+~P144(f822(f822(f227(x87571),f2(x87571)),x87574))+~P144(f822(f822(f227(x87571),x87572),f822(f822(f80(x87571),x87574),x87573)))+~P144(f822(f822(f227(x87571),f822(f822(f80(x87571),x87574),x87573)),x87572))+P144(f822(f822(f227(x87571),f822(f822(f280(x87571),x87572),x87573)),x87574))
% 218.59/218.72 [8758]~P66(x87581)+~P144(f822(f822(f226(x87581),f2(x87581)),x87584))+~P144(f822(f822(f226(x87581),x87582),f822(f822(f80(x87581),x87584),x87583)))+~P144(f822(f822(f226(x87581),f822(f822(f80(x87581),x87584),x87583)),x87582))+P144(f822(f822(f226(x87581),f822(f822(f280(x87581),x87582),x87583)),x87584))
% 218.59/218.72 [8930]E(f822(f822(f3(a1),f401(x89301,x89302,x89303,x89304)),f402(x89301,x89302,x89303,x89304)),x89304)+~P144(f822(f822(f227(a1),f2(a1)),x89303))+~P144(f822(f822(f227(a1),x89304),x89302))+~P144(f822(f822(f318(a1),x89302),x89301))+P144(f822(f822(f227(a1),f822(f822(f79(a1),x89304),x89303)),x89302))
% 218.59/218.72 [8999]~P144(f822(x89991,x89992))+~P144(f822(f822(f227(a1),f2(a1)),x89994))+~P144(f822(f822(f226(a1),f2(a1)),x89993))+~P144(f822(x89991,f822(f822(f79(a1),f733(x89993,x89991,x89994)),x89994)))+P144(f822(x89991,f822(f822(f79(a1),x89992),f822(f822(f80(a1),x89993),x89994))))
% 218.59/218.72 [9000]~P144(f822(x90001,x90002))+~P144(f822(f822(f227(a1),f2(a1)),x90004))+~P144(f822(f822(f226(a1),f2(a1)),x90003))+~P144(f822(x90001,f822(f822(f3(a1),f781(x90003,x90001,x90004)),x90004)))+P144(f822(x90001,f822(f822(f3(a1),x90002),f822(f822(f80(a1),x90003),x90004))))
% 218.59/218.72 [9147]~P144(f822(f822(f227(a1),f2(a1)),x91473))+~P144(f822(f822(f227(a1),x91474),x91472))+~P144(f822(f822(f318(a1),x91472),x91471))+P144(f822(f822(f318(a1),f401(x91471,x91472,x91473,x91474)),x91471))+P144(f822(f822(f227(a1),f822(f822(f79(a1),x91474),x91473)),x91472))
% 218.59/218.72 [9167]E(f822(f822(f3(a1),f387(x91671,x91672,x91673,x91674)),f388(x91671,x91672,x91673,x91674)),x91674)+~P144(f822(f822(f227(a1),f2(a1)),x91673))+~P144(f822(f822(f226(a1),x91674),x91672))+~P144(f822(f822(f318(a1),f822(f822(f79(a1),x91672),f77(a1))),x91671))+P144(f822(f822(f226(a1),f822(f822(f79(a1),x91674),x91673)),x91672))
% 218.59/218.72 [9206]~P144(f822(f822(f227(a1),f2(a1)),x92062))+~P144(f822(f822(f227(a1),x92061),x92063))+~P144(f822(f822(f318(a1),x92063),x92064))+P144(f822(f822(f318(a1),f402(x92064,x92063,x92062,x92061)),f292(a1,f77(a1),x92062)))+P144(f822(f822(f227(a1),f822(f822(f79(a1),x92061),x92062)),x92063))
% 218.59/218.72 [9291]~P144(f822(f822(f227(a1),f2(a1)),x92913))+~P144(f822(f822(f226(a1),x92914),x92912))+P144(f822(f822(f318(a1),f387(x92911,x92912,x92913,x92914)),x92911))+~P144(f822(f822(f318(a1),f822(f822(f79(a1),x92912),f77(a1))),x92911))+P144(f822(f822(f226(a1),f822(f822(f79(a1),x92914),x92913)),x92912))
% 218.59/218.72 [9337]~P144(f822(f822(f227(a1),f2(a1)),x93372))+~P144(f822(f822(f226(a1),x93371),x93373))+P144(f822(f822(f318(a1),f388(x93374,x93373,x93372,x93371)),f292(a1,f77(a1),x93372)))+~P144(f822(f822(f318(a1),f822(f822(f79(a1),x93373),f77(a1))),x93374))+P144(f822(f822(f226(a1),f822(f822(f79(a1),x93371),x93372)),x93373))
% 218.59/218.72 [9627]~P36(x96271,x96273)+~P27(x96271,x96274)+P36(x96271,f822(f822(f96(f892(f891(x96271,x96271),a882)),x96272),x96273))+~P144(f822(f822(f226(f892(f891(x96271,x96271),a882)),x96272),f822(f242(f892(f891(x96271,x96271),a882),f892(f891(x96271,x96271),a882)),x96274)))+~P144(f822(f822(f226(f892(f891(x96271,x96271),a882)),x96273),f822(f247(f892(f891(x96271,x96271),a882),f892(f891(x96271,x96271),a882)),x96274)))
% 218.59/218.72 [10020]~P20(x100202,x100204,x100203)+E(x100201,f182(f892(x100202,a882)))+~P144(f822(f60(x100202),x100201))+P144(f822(f822(f318(x100202),f822(x100203,x100201)),x100201))+~P144(f822(f822(f318(x100202),f822(f822(x100204,f419(x100201,x100203,x100204,x100202)),f420(x100201,x100203,x100204,x100202))),f822(f822(f298(x100202),f419(x100201,x100203,x100204,x100202)),f822(f822(f298(x100202),f420(x100201,x100203,x100204,x100202)),f182(f892(x100202,a882))))))
% 218.59/218.72 [9942]~P91(x99422)+~P63(x99421)+~P144(f822(f822(f226(f892(x99421,x99422)),x99423),x99424))+P144(f822(f822(f227(f892(x99421,x99422)),x99423),x99424))+~P144(f822(f55(x99421),f822(f822(f10(a882,a882,x99421),a311),f822(f822(f20(x99421,x99422,a882),f822(f822(f10(x99422,f892(x99422,a882),x99421),a314),x99423)),x99424))))
% 218.59/218.72 [9548]~P56(x95481,x95481,x95484)+P144(f822(f822(f318(f891(x95481,x95481)),f822(f822(f243(x95481,x95481),x95482),x95483)),f296(x95481,x95484)))+P144(f822(f822(f318(f891(x95481,x95481)),f822(f822(f243(x95481,x95481),x95483),x95482)),f296(x95481,x95484)))+~P144(f822(f822(f318(f891(x95481,x95481)),f822(f822(f243(x95481,x95481),x95485),x95482)),f296(x95481,x95484)))+~P144(f822(f822(f318(f891(x95481,x95481)),f822(f822(f243(x95481,x95481),x95485),x95483)),f296(x95481,x95484)))
% 218.59/218.72 [5617]E(x56171,f2(a885))+~E(f822(f34(x56172),x56175),x56171)+E(f822(f34(x56172),x56173),f822(a107,x56171))+~E(x56173,f822(f822(f298(x56172),x56174),x56175))+P144(f822(f822(f318(x56172),x56174),x56175))
% 218.59/218.72 [5741]~P65(x57412)+E(x57411,f2(x57412))+E(x57413,f2(x57412))+~E(f822(f822(f280(x57412),x57414),x57413),f822(f822(f280(x57412),x57415),x57411))+E(f822(f822(f80(x57412),x57414),x57411),f822(f822(f80(x57412),x57415),x57413))
% 218.59/218.72 [5742]~P65(x57422)+E(x57421,f2(x57422))+E(x57423,f2(x57422))+~E(f822(f822(f80(x57422),x57424),x57423),f822(f822(f80(x57422),x57425),x57421))+E(f822(f822(f280(x57422),x57424),x57421),f822(f822(f280(x57422),x57425),x57423))
% 218.59/218.72 [5819]~E(f822(f34(x58191),x58195),x58193)+~E(x58195,f182(f892(x58191,a882)))+E(f822(f34(x58191),x58192),f822(a107,x58193))+~E(x58192,f822(f822(f298(x58191),x58194),x58195))+P144(f822(f822(f318(x58191),x58194),x58195))
% 218.59/218.72 [6060]~P112(x60602)+~E(f822(x60603,x60605),f2(x60602))+E(f822(f822(f11(x60601,x60602),x60603),x60604),f2(x60602))+~P144(f822(f60(x60601),x60604))+~P144(f822(f822(f318(x60601),x60605),x60604))
% 218.59/218.72 [6455]~P92(x64553)+E(x64551,x64552)+~E(f822(f291(x64553,x64554),x64551),f822(f291(x64553,x64555),x64552))+~P144(f822(f822(f227(x64553),x64555),x64552))+~P144(f822(f822(f227(x64553),x64554),x64551))
% 218.59/218.72 [6456]~P92(x64563)+E(x64561,x64562)+~E(f822(f291(x64563,x64561),x64564),f822(f291(x64563,x64562),x64565))+~P144(f822(f822(f227(x64563),x64562),x64565))+~P144(f822(f822(f227(x64563),x64561),x64564))
% 218.59/218.72 [7570]~P92(x75701)+~P15(x75701,f822(f822(f126(x75701),x75704),x75705))+~P144(f822(f822(f318(x75701),x75703),f822(f164(x75701),x75705)))+~P144(f822(f822(f318(x75701),x75702),f822(f164(x75701),x75704)))+P144(f822(f822(f226(x75701),x75702),x75703))
% 218.59/218.72 [8665]~P91(x86651)+~P144(f822(f822(f227(f892(x86651,a882)),f292(x86651,x86655,x86652)),f292(x86651,x86654,x86653)))+~P144(f822(f822(f226(x86651),x86655),x86652))+P144(f822(f822(f227(x86651),x86652),x86653))+P144(f822(f822(f227(x86651),x86654),x86655))
% 218.59/218.72 [10063]~P19(x100632,x100635,x100633)+E(x100631,f182(f892(x100632,a882)))+~E(f822(f822(x100635,f822(x100634,f522(x100631,x100634,x100633,x100635,x100632))),f822(x100634,f523(x100631,x100634,x100633,x100635,x100632))),f822(x100634,f822(f822(x100635,f522(x100631,x100634,x100633,x100635,x100632)),f523(x100631,x100634,x100633,x100635,x100632))))+E(f822(x100633,f822(f299(x100632,x100632,x100634),x100631)),f822(x100634,f822(x100633,x100631)))+~P144(f822(f60(x100632),x100631))
% 218.59/218.72 [6452]~P20(x64522,x64525,x64523)+E(x64521,f182(f892(x64522,a882)))+~P144(f822(f60(x64522),x64521))+E(f822(x64523,f822(f822(f298(x64522),x64524),x64521)),f822(f822(x64525,x64524),f822(x64523,x64521)))+P144(f822(f822(f318(x64522),x64524),x64521))
% 218.59/218.72 [7312]~P19(x73122,x73123,x73124)+E(f822(f822(x73123,f822(x73124,x73121)),f822(x73124,x73125)),f822(x73124,x73125))+E(x73121,f182(f892(x73122,a882)))+~P144(f822(f60(x73122),x73125))+~P144(f822(f822(f226(f892(x73122,a882)),x73121),x73125))
% 218.59/218.72 [7708]~P20(x77084,x77085,x77081)+E(f822(x77081,x77082),x77083)+~P144(f822(f60(x77084),x77082))+~E(f822(f822(f3(f892(x77084,a882)),x77082),f822(f822(f298(x77084),x77083),f182(f892(x77084,a882)))),f182(f892(x77084,a882)))+~P144(f822(f822(f318(x77084),x77083),x77082))
% 218.59/218.72 [8588]~P76(x85881)+~P120(x85881)+~P144(f822(f60(x85882),x85885))+P144(f822(f822(f276(x85881),f822(f822(f11(x85882,x85881),x85883),x85884)),f822(f822(f11(x85882,x85881),x85883),x85885)))+~P144(f822(f822(f226(f892(x85882,a882)),x85884),x85885))
% 218.59/218.72 [8637]E(x86371,x86372)+~P10(x86373,x86374,x86375)+E(f822(f822(f97(f892(x86373,a882)),x86371),x86372),f182(f892(x86373,a882)))+~P144(f822(f822(f318(f892(x86373,a882)),x86372),f822(f822(f59(x86373),x86374),x86375)))+~P144(f822(f822(f318(f892(x86373,a882)),x86371),f822(f822(f59(x86373),x86374),x86375)))
% 218.59/218.72 [9417]~P72(x94172)+~E(f822(x94173,f446(x94173,x94174,x94175,x94171,x94172)),f2(x94172))+E(f822(f822(f8(x94171,x94172),x94173),x94174),f822(f822(f8(x94171,x94172),x94173),x94175))+~P144(f822(f60(x94171),x94175))+~P144(f822(f822(f226(f892(x94171,a882)),x94174),x94175))
% 218.59/218.72 [9418]~P72(x94182)+~E(f822(x94183,f447(x94183,x94184,x94185,x94181,x94182)),f2(x94182))+E(f822(f822(f8(x94181,x94182),x94183),x94184),f822(f822(f8(x94181,x94182),x94183),x94185))+~P144(f822(f60(x94181),x94185))+~P144(f822(f822(f226(f892(x94181,a882)),x94184),x94185))
% 218.59/218.72 [9419]~P76(x94192)+~E(f822(x94193,f442(x94193,x94194,x94195,x94191,x94192)),f77(x94192))+E(f822(f822(f11(x94191,x94192),x94193),x94194),f822(f822(f11(x94191,x94192),x94193),x94195))+~P144(f822(f60(x94191),x94195))+~P144(f822(f822(f226(f892(x94191,a882)),x94194),x94195))
% 218.59/218.72 [9420]~P76(x94202)+~E(f822(x94203,f443(x94203,x94204,x94205,x94201,x94202)),f77(x94202))+E(f822(f822(f11(x94201,x94202),x94203),x94204),f822(f822(f11(x94201,x94202),x94203),x94205))+~P144(f822(f60(x94201),x94205))+~P144(f822(f822(f226(f892(x94201,a882)),x94204),x94205))
% 218.59/218.72 [9898]~P86(x98981)+~P144(f822(f60(x98982),x98985))+~P144(f822(f822(f226(x98981),f2(x98981)),f822(x98983,f405(x98983,x98984,x98985,x98982,x98981))))+P144(f822(f822(f226(x98981),f822(f822(f8(x98982,x98981),x98983),x98984)),f822(f822(f8(x98982,x98981),x98983),x98985)))+~P144(f822(f822(f226(f892(x98982,a882)),x98984),x98985))
% 218.59/218.72 [7567]E(x75671,f2(a885))+P144(f822(x75672,x75673))+~E(x75674,f822(f822(f79(a885),f822(f822(f80(a885),x75671),x75673)),x75675))+~P144(f822(f822(f227(a885),x75675),x75671))+~P144(f822(x75672,f822(f822(f35(a885),x75674),x75671)))
% 218.59/218.72 [7646]E(x76461,f2(a885))+P144(f822(x76462,x76463))+~P144(f822(x76462,f44(a885,x76464,x76461)))+~E(x76464,f822(f822(f79(a885),f822(f822(f80(a885),x76461),x76465)),x76463))+~P144(f822(f822(f227(a885),x76463),x76461))
% 218.59/218.72 [7944]~P65(x79443)+E(f822(x79441,x79442),f2(x79443))+~P144(f822(f60(x79444),x79445))+E(f822(f822(f11(x79444,x79443),x79441),f822(f822(f3(f892(x79444,a882)),x79445),f822(f822(f298(x79444),x79442),f182(f892(x79444,a882))))),f822(f822(f11(x79444,x79443),x79441),x79445))+P144(f822(f822(f318(x79444),x79442),x79445))
% 218.59/218.72 [8342]~P72(x83421)+~P144(f822(f60(x83422),x83425))+~P144(f822(f60(x83422),x83424))+~E(f822(f822(f97(f892(x83422,a882)),x83424),x83425),f182(f892(x83422,a882)))+E(f822(f822(f79(x83421),f822(f822(f8(x83422,x83421),x83423),x83424)),f822(f822(f8(x83422,x83421),x83423),x83425)),f822(f822(f8(x83422,x83421),x83423),f822(f822(f96(f892(x83422,a882)),x83424),x83425)))
% 218.59/218.72 [8344]~P76(x83441)+~P144(f822(f60(x83442),x83445))+~P144(f822(f60(x83442),x83444))+~E(f822(f822(f97(f892(x83442,a882)),x83444),x83445),f182(f892(x83442,a882)))+E(f822(f822(f80(x83441),f822(f822(f11(x83442,x83441),x83443),x83444)),f822(f822(f11(x83442,x83441),x83443),x83445)),f822(f822(f11(x83442,x83441),x83443),f822(f822(f96(f892(x83442,a882)),x83444),x83445)))
% 218.59/218.72 [8439]~P65(x84393)+E(f822(x84391,x84392),f2(x84393))+~P144(f822(f60(x84394),x84395))+E(f822(f822(f11(x84394,x84393),x84391),f822(f822(f3(f892(x84394,a882)),x84395),f822(f822(f298(x84394),x84392),f182(f892(x84394,a882))))),f822(f822(f280(x84393),f822(f822(f11(x84394,x84393),x84391),x84395)),f822(x84391,x84392)))+~P144(f822(f822(f318(x84394),x84392),x84395))
% 218.59/218.72 [9125]~P10(x91251,x91255,x91254)+~E(f822(f822(f59(x91251),f822(f822(f298(x91251),x91252),f182(f892(x91251,a882)))),x91254),f822(f822(f59(x91251),f822(f822(f298(x91251),x91253),f182(f892(x91251,a882)))),x91254))+~P144(f822(f822(f318(x91251),x91253),x91255))+~P144(f822(f822(f318(x91251),x91252),x91255))+P144(f822(f822(f318(f891(x91251,x91251)),f822(f822(f243(x91251,x91251),x91252),x91253)),x91254))
% 218.59/218.72 [9146]~P10(x91461,x91465,x91463)+E(f822(f822(f59(x91461),f822(f822(f298(x91461),x91462),f182(f892(x91461,a882)))),x91463),f822(f822(f59(x91461),f822(f822(f298(x91461),x91464),f182(f892(x91461,a882)))),x91463))+~P144(f822(f822(f318(x91461),x91464),x91465))+~P144(f822(f822(f318(x91461),x91462),x91465))+~P144(f822(f822(f318(f891(x91461,x91461)),f822(f822(f243(x91461,x91461),x91462),x91464)),x91463))
% 218.59/218.72 [9445]~P76(x94451)+~P144(f822(f60(x94452),x94455))+~P144(f822(f60(x94452),x94454))+~E(f822(f822(f97(f892(x94452,a882)),x94454),x94455),f182(f892(x94452,a882)))+E(f822(f822(f80(x94451),f822(f822(f822(f64(x94451,x94452,f80(x94451)),x94453),f77(x94451)),x94454)),f822(f822(f822(f64(x94451,x94452,f80(x94451)),x94453),f77(x94451)),x94455)),f822(f822(f822(f64(x94451,x94452,f80(x94451)),x94453),f77(x94451)),f822(f822(f96(f892(x94452,a882)),x94454),x94455)))
% 218.59/218.72 [9456]~P72(x94561)+~E(f822(x94563,f468(x94563,x94565,x94564,x94562,x94561)),f2(x94561))+~P144(f822(f60(x94562),x94564))+~P144(f822(f60(x94562),x94565))+E(f822(f822(f79(x94561),f822(f822(f8(x94562,x94561),x94563),x94564)),f822(f822(f8(x94562,x94561),x94563),x94565)),f822(f822(f8(x94562,x94561),x94563),f822(f822(f96(f892(x94562,a882)),x94564),x94565)))
% 218.59/218.72 [9457]~P72(x94571)+~E(f822(x94573,f472(x94573,x94575,x94574,x94572,x94571)),f2(x94571))+~P144(f822(f60(x94572),x94574))+~P144(f822(f60(x94572),x94575))+E(f822(f822(f79(x94571),f822(f822(f8(x94572,x94571),x94573),x94574)),f822(f822(f8(x94572,x94571),x94573),x94575)),f822(f822(f8(x94572,x94571),x94573),f822(f822(f96(f892(x94572,a882)),x94574),x94575)))
% 218.59/218.72 [9458]~P76(x94581)+~E(f822(x94583,f469(x94583,x94585,x94584,x94582,x94581)),f77(x94581))+~P144(f822(f60(x94582),x94584))+~P144(f822(f60(x94582),x94585))+E(f822(f822(f80(x94581),f822(f822(f11(x94582,x94581),x94583),x94584)),f822(f822(f11(x94582,x94581),x94583),x94585)),f822(f822(f11(x94582,x94581),x94583),f822(f822(f96(f892(x94582,a882)),x94584),x94585)))
% 218.59/218.72 [9459]~P76(x94591)+~E(f822(x94593,f471(x94593,x94595,x94594,x94592,x94591)),f77(x94591))+~P144(f822(f60(x94592),x94594))+~P144(f822(f60(x94592),x94595))+E(f822(f822(f80(x94591),f822(f822(f11(x94592,x94591),x94593),x94594)),f822(f822(f11(x94592,x94591),x94593),x94595)),f822(f822(f11(x94592,x94591),x94593),f822(f822(f96(f892(x94592,a882)),x94594),x94595)))
% 218.59/218.72 [9669]~P76(x96691)+~E(f822(x96693,f485(x96693,x96695,x96694,x96692,x96691)),f77(x96691))+~P144(f822(f60(x96692),x96694))+~P144(f822(f60(x96692),x96695))+E(f822(f822(f80(x96691),f822(f822(f822(f64(x96691,x96692,f80(x96691)),x96693),f77(x96691)),x96694)),f822(f822(f822(f64(x96691,x96692,f80(x96691)),x96693),f77(x96691)),x96695)),f822(f822(f822(f64(x96691,x96692,f80(x96691)),x96693),f77(x96691)),f822(f822(f96(f892(x96692,a882)),x96694),x96695)))
% 218.59/218.72 [9779]~P72(x97792)+E(f822(f822(f8(x97791,x97792),x97793),x97794),f822(f822(f8(x97791,x97792),x97793),x97795))+~P144(f822(f60(x97791),x97795))+~P144(f822(f822(f226(f892(x97791,a882)),x97794),x97795))+P144(f822(f822(f318(x97791),f446(x97793,x97794,x97795,x97791,x97792)),f822(f822(f3(f892(x97791,a882)),x97795),x97794)))
% 218.59/218.72 [9780]~P72(x97802)+E(f822(f822(f8(x97801,x97802),x97803),x97804),f822(f822(f8(x97801,x97802),x97803),x97805))+~P144(f822(f60(x97801),x97805))+~P144(f822(f822(f226(f892(x97801,a882)),x97804),x97805))+P144(f822(f822(f318(x97801),f447(x97803,x97804,x97805,x97801,x97802)),f822(f822(f3(f892(x97801,a882)),x97805),x97804)))
% 218.59/218.72 [9781]~P76(x97812)+E(f822(f822(f11(x97811,x97812),x97813),x97814),f822(f822(f11(x97811,x97812),x97813),x97815))+~P144(f822(f60(x97811),x97815))+~P144(f822(f822(f226(f892(x97811,a882)),x97814),x97815))+P144(f822(f822(f318(x97811),f442(x97813,x97814,x97815,x97811,x97812)),f822(f822(f3(f892(x97811,a882)),x97815),x97814)))
% 218.59/218.72 [9782]~P76(x97822)+E(f822(f822(f11(x97821,x97822),x97823),x97824),f822(f822(f11(x97821,x97822),x97823),x97825))+~P144(f822(f60(x97821),x97825))+~P144(f822(f822(f226(f892(x97821,a882)),x97824),x97825))+P144(f822(f822(f318(x97821),f443(x97823,x97824,x97825,x97821,x97822)),f822(f822(f3(f892(x97821,a882)),x97825),x97824)))
% 218.59/218.72 [9801]~P72(x98011)+~P144(f822(f60(x98012),x98014))+~P144(f822(f60(x98012),x98015))+E(f822(f822(f79(x98011),f822(f822(f8(x98012,x98011),x98013),x98014)),f822(f822(f8(x98012,x98011),x98013),x98015)),f822(f822(f8(x98012,x98011),x98013),f822(f822(f96(f892(x98012,a882)),x98014),x98015)))+P144(f822(f822(f318(x98012),f468(x98013,x98015,x98014,x98012,x98011)),f822(f822(f97(f892(x98012,a882)),x98014),x98015)))
% 218.59/218.72 [9802]~P72(x98021)+~P144(f822(f60(x98022),x98024))+~P144(f822(f60(x98022),x98025))+E(f822(f822(f79(x98021),f822(f822(f8(x98022,x98021),x98023),x98024)),f822(f822(f8(x98022,x98021),x98023),x98025)),f822(f822(f8(x98022,x98021),x98023),f822(f822(f96(f892(x98022,a882)),x98024),x98025)))+P144(f822(f822(f318(x98022),f472(x98023,x98025,x98024,x98022,x98021)),f822(f822(f97(f892(x98022,a882)),x98024),x98025)))
% 218.59/218.72 [9803]~P76(x98031)+~P144(f822(f60(x98032),x98034))+~P144(f822(f60(x98032),x98035))+E(f822(f822(f80(x98031),f822(f822(f11(x98032,x98031),x98033),x98034)),f822(f822(f11(x98032,x98031),x98033),x98035)),f822(f822(f11(x98032,x98031),x98033),f822(f822(f96(f892(x98032,a882)),x98034),x98035)))+P144(f822(f822(f318(x98032),f469(x98033,x98035,x98034,x98032,x98031)),f822(f822(f97(f892(x98032,a882)),x98034),x98035)))
% 218.59/218.72 [9804]~P76(x98041)+~P144(f822(f60(x98042),x98044))+~P144(f822(f60(x98042),x98045))+E(f822(f822(f80(x98041),f822(f822(f11(x98042,x98041),x98043),x98044)),f822(f822(f11(x98042,x98041),x98043),x98045)),f822(f822(f11(x98042,x98041),x98043),f822(f822(f96(f892(x98042,a882)),x98044),x98045)))+P144(f822(f822(f318(x98042),f471(x98043,x98045,x98044,x98042,x98041)),f822(f822(f97(f892(x98042,a882)),x98044),x98045)))
% 218.59/218.72 [9816]~P86(x98165)+~P144(f822(f60(x98161),x98164))+P144(f822(f822(f226(x98165),f822(f822(f8(x98161,x98165),x98162),x98163)),f822(f822(f8(x98161,x98165),x98162),x98164)))+~P144(f822(f822(f226(f892(x98161,a882)),x98163),x98164))+P144(f822(f822(f318(x98161),f405(x98162,x98163,x98164,x98161,x98165)),f822(f822(f3(f892(x98161,a882)),x98164),x98163)))
% 218.59/218.72 [9862]~P76(x98621)+~P144(f822(f60(x98622),x98624))+~P144(f822(f60(x98622),x98625))+E(f822(f822(f80(x98621),f822(f822(f822(f64(x98621,x98622,f80(x98621)),x98623),f77(x98621)),x98624)),f822(f822(f822(f64(x98621,x98622,f80(x98621)),x98623),f77(x98621)),x98625)),f822(f822(f822(f64(x98621,x98622,f80(x98621)),x98623),f77(x98621)),f822(f822(f96(f892(x98622,a882)),x98624),x98625)))+P144(f822(f822(f318(x98622),f485(x98623,x98625,x98624,x98622,x98621)),f822(f822(f97(f892(x98622,a882)),x98624),x98625)))
% 218.59/218.72 [8824]~P20(x88241,x88244,x88245)+~P144(f822(f60(x88241),x88242))+E(f822(f822(f3(f892(x88241,a882)),x88242),f822(f822(f298(x88241),x88243),f182(f892(x88241,a882)))),f182(f892(x88241,a882)))+~P144(f822(f822(f318(x88241),x88243),x88242))+E(f822(f822(x88244,x88243),f822(x88245,f822(f822(f3(f892(x88241,a882)),x88242),f822(f822(f298(x88241),x88243),f182(f892(x88241,a882)))))),f822(x88245,x88242))
% 218.59/218.72 [8899]~P20(x88991,x88994,x88995)+~P144(f822(f60(x88991),x88993))+~P144(f822(f60(x88991),x88992))+E(f822(f822(f97(f892(x88991,a882)),x88992),x88993),f182(f892(x88991,a882)))+E(f822(f822(x88994,f822(x88995,f822(f822(f96(f892(x88991,a882)),x88992),x88993))),f822(x88995,f822(f822(f97(f892(x88991,a882)),x88992),x88993))),f822(f822(x88994,f822(x88995,x88992)),f822(x88995,x88993)))
% 218.59/218.72 [9461]~P144(f822(f822(f226(a1),x94614),f2(a1)))+~P144(f822(f822(f227(a1),x94613),x94615))+P144(f822(f822(f226(a1),x94611),x94612))+~P144(f822(f822(f227(a1),x94613),x94614))+~P144(f822(f822(f226(a1),f822(f822(f79(a1),f822(f822(f80(a1),x94613),x94612)),x94615)),f822(f822(f79(a1),f822(f822(f80(a1),x94613),x94611)),x94614)))
% 218.59/218.72 [9463]~P144(f822(f822(f226(a1),f2(a1)),x94635))+P144(f822(f822(f226(a1),x94631),x94632))+~P144(f822(f822(f227(a1),x94633),x94634))+~P144(f822(f822(f227(a1),x94635),x94634))+~P144(f822(f822(f226(a1),f822(f822(f79(a1),f822(f822(f80(a1),x94634),x94631)),x94635)),f822(f822(f79(a1),f822(f822(f80(a1),x94634),x94632)),x94633)))
% 218.59/218.72 [9581]~P65(x95815)+E(f822(x95811,f470(x95811,x95812,x95813,x95814,x95815)),f2(x95815))+~P144(f822(f60(x95814),x95813))+~P144(f822(f60(x95814),x95812))+E(f822(f822(f280(x95815),f822(f822(f80(x95815),f822(f822(f11(x95814,x95815),x95811),x95813)),f822(f822(f11(x95814,x95815),x95811),x95812))),f822(f822(f11(x95814,x95815),x95811),f822(f822(f97(f892(x95814,a882)),x95813),x95812))),f822(f822(f11(x95814,x95815),x95811),f822(f822(f96(f892(x95814,a882)),x95813),x95812)))
% 218.59/218.72 [9854]~P65(x98541)+~P144(f822(f60(x98542),x98544))+~P144(f822(f60(x98542),x98545))+E(f822(f822(f280(x98541),f822(f822(f80(x98541),f822(f822(f11(x98542,x98541),x98543),x98544)),f822(f822(f11(x98542,x98541),x98543),x98545))),f822(f822(f11(x98542,x98541),x98543),f822(f822(f97(f892(x98542,a882)),x98544),x98545))),f822(f822(f11(x98542,x98541),x98543),f822(f822(f96(f892(x98542,a882)),x98544),x98545)))+P144(f822(f822(f318(x98542),f470(x98543,x98545,x98544,x98542,x98541)),f822(f822(f97(f892(x98542,a882)),x98544),x98545)))
% 218.59/218.72 [9166]E(f822(f822(f126(x91661),x91662),x91663),f822(f822(f126(x91661),x91664),x91665))+~E(f822(f822(f167(x91661),f822(f183(f887(x91661)),x91664)),x91662),x91664)+~E(f822(f822(f167(x91661),f822(f183(f887(x91661)),x91662)),x91664),x91662)+~E(x91665,f822(f822(f126(x91661),f822(f822(f130(x91661),f822(f183(f887(x91661)),x91664)),x91662)),x91663))+~E(f822(f822(f126(x91661),f822(f822(f130(x91661),f822(f183(f887(x91661)),x91662)),x91664)),x91665),x91663)
% 218.59/218.72 [9579]~P92(x95792)+E(f822(f822(f140(x95791,x95792,x95793),x95794),f162(x95791,x95794,x95795)),x95795)+~P15(x95792,f822(f822(f146(x95791,x95792),x95793),x95795))+~P144(f822(f822(f318(x95791),x95794),f822(f164(x95791),x95795)))+~E(f822(f133(x95791),f822(f128(x95791,f822(f822(f10(x95792,a882,x95791),f822(a314,f822(x95793,x95794))),x95793)),x95795)),x95794)
% 218.59/218.72 [9915]~P70(x99151)+~P144(f822(f65(x99151,x99151,f80(x99151),x99152,x99153),x99155))+~P144(f822(f822(f318(x99151),x99154),x99153))+P144(f822(f822(f318(x99151),x99152),x99153))+P144(f822(f65(x99151,x99151,f80(x99151),x99154,f822(f822(f298(x99151),x99152),f822(f822(f3(f892(x99151,a882)),x99153),f822(f822(f298(x99151),x99154),f182(f892(x99151,a882)))))),x99155))
% 218.59/218.72 [7320]E(x73201,x73202)+~P26(x73204,x73205,x73203,x73206)+~E(f822(x73203,x73201),f822(x73203,x73202))+~P144(f822(f822(f318(x73204),x73202),x73206))+~P144(f822(f822(f318(x73204),x73201),x73206))
% 218.59/218.72 [6549]~P145(x65494)+E(x65491,x65492)+~E(x65495,x65496)+E(x65493,f2(x65494))+~E(f822(f822(f79(x65494),x65495),f822(f822(f80(x65494),x65493),x65491)),f822(f822(f79(x65494),x65496),f822(f822(f80(x65494),x65493),x65492)))
% 218.59/218.72 [7626]~P92(x76261)+~P7(x76261)+~P144(f822(f822(f227(x76261),x76262),f822(x76265,x76266)))+~P144(f822(f822(f318(x76263),x76266),x76264))+P144(f822(f822(f227(x76261),x76262),f822(f822(f38(x76263,x76261),x76264),x76265)))
% 218.59/218.72 [10078]~P112(x100786)+~P144(f822(f60(x100781),x100785))+P144(f822(f822(f318(x100781),f585(x100782,x100783,x100784,x100785,x100781,x100786)),x100784))+P144(f822(f822(f276(x100786),f822(f822(f11(x100781,x100786),x100783),x100784)),f822(f822(f11(x100781,x100786),x100782),x100785)))+~P144(f822(f822(f226(f892(x100781,a882)),x100784),x100785))
% 218.59/218.72 [10199]~P112(x101991)+~P144(f822(f60(x101992),x101996))+~P144(f822(f822(f276(x101991),f822(x101993,f585(x101995,x101993,x101994,x101996,x101992,x101991))),f822(x101995,f585(x101995,x101993,x101994,x101996,x101992,x101991))))+P144(f822(f822(f276(x101991),f822(f822(f11(x101992,x101991),x101993),x101994)),f822(f822(f11(x101992,x101991),x101995),x101996)))+~P144(f822(f822(f226(f892(x101992,a882)),x101994),x101996))
% 218.59/218.72 [8313]~P92(x83131)+~P7(x83131)+~P144(f822(f822(f227(x83131),f822(x83134,x83136)),x83135))+~P144(f822(f822(f318(x83132),x83136),x83133))+P144(f822(f822(f227(x83131),f822(f822(f39(x83132,x83131),x83133),x83134)),x83135))
% 218.59/218.72 [8560]~P21(x85602,x85605,x85606,x85601)+~P144(f822(f60(x85602),x85604))+~P144(f822(f60(x85602),x85603))+~E(f822(f822(f97(f892(x85602,a882)),x85603),x85604),f182(f892(x85602,a882)))+E(f822(x85601,f822(f822(f96(f892(x85602,a882)),x85603),x85604)),f822(f72(x85605,x85605,x85605,f822(x85601,x85603)),f822(x85601,x85604)))
% 218.59/218.72 [9266]~P120(x92661)+~P118(x92661)+~P144(f822(f822(f276(x92661),x92662),x92665))+~P144(f822(f822(f276(x92661),x92662),f822(f822(f79(x92661),x92663),x92666)))+P144(f822(f822(f276(x92661),x92662),f822(f822(f79(x92661),f822(f822(f3(x92661),x92663),f822(f822(f80(x92661),x92664),x92665))),x92666)))
% 218.59/218.72 [9450]~P120(x94501)+~P118(x94501)+~P144(f822(f822(f276(x94501),x94502),x94505))+P144(f822(f822(f276(x94501),x94502),f822(f822(f79(x94501),x94503),x94504)))+~P144(f822(f822(f276(x94501),x94502),f822(f822(f79(x94501),f822(f822(f3(x94501),x94503),f822(f822(f80(x94501),x94506),x94505))),x94504)))
% 218.59/218.72 [8869]E(x88691,x88692)+~P58(x88694,x88695,x88696,x88693,x88697)+~E(f822(x88693,x88691),f822(x88693,x88692))+~P144(f822(f822(f318(x88695),x88692),x88697))+~P144(f822(f822(f318(x88695),x88691),x88697))
% 218.59/218.72 [10160]~P144(f822(x101602,x101604))+~E(x101605,f822(f128(x101601,x101602),x101607))+E(f822(f128(x101601,x101602),x101603),f822(f822(f143(x101601),x101604),x101605))+~E(x101603,f822(f822(f126(x101601),x101606),f822(f822(f143(x101601),x101604),x101607)))+P144(f822(x101602,f766(x101605,x101604,x101603,x101602,x101601,x101606,x101607)))
% 218.59/218.72 [10161]~P144(f822(x101614,x101612))+~E(x101613,f822(f128(x101611,x101614),x101617))+E(f822(f822(f143(x101611),x101612),x101613),f822(f128(x101611,x101614),x101615))+~E(x101615,f822(f822(f126(x101611),x101616),f822(f822(f143(x101611),x101612),x101617)))+P144(f822(x101614,f765(x101615,x101614,x101613,x101612,x101611,x101616,x101617)))
% 218.59/218.72 [10206]~P144(f822(x102062,x102064))+~E(x102065,f822(f128(x102061,x102062),x102067))+E(f822(f128(x102061,x102062),x102063),f822(f822(f143(x102061),x102064),x102065))+~E(x102063,f822(f822(f126(x102061),x102066),f822(f822(f143(x102061),x102064),x102067)))+P144(f822(f822(f318(x102061),f766(x102065,x102064,x102063,x102062,x102061,x102066,x102067)),f822(f164(x102061),x102066)))
% 218.59/218.72 [10207]~P144(f822(x102074,x102072))+~E(x102073,f822(f128(x102071,x102074),x102077))+E(f822(f822(f143(x102071),x102072),x102073),f822(f128(x102071,x102074),x102075))+~E(x102075,f822(f822(f126(x102071),x102076),f822(f822(f143(x102071),x102072),x102077)))+P144(f822(f822(f318(x102071),f765(x102075,x102074,x102073,x102072,x102071,x102076,x102077)),f822(f164(x102071),x102076)))
% 218.59/218.72 [10210]~P10(x102101,x102107,x102106)+~P13(x102101,f892(x102105,a882),x102106,x102104)+P144(f822(f822(f318(x102101),f464(x102102,x102103,x102104,x102105,x102106,x102107,x102101)),x102107))+~P144(f822(f822(f318(f892(x102101,a882)),x102103),f822(f822(f59(x102101),x102107),x102106)))+P144(f822(f822(f318(f892(x102105,a882)),f822(f822(f38(x102101,f892(x102105,a882)),x102103),x102104)),x102102))
% 218.59/218.72 [10263]~P10(x102632,x102636,x102637)+~P13(x102632,f892(x102631,a882),x102637,x102634)+~P144(f822(f822(f318(f892(x102632,a882)),x102633),f822(f822(f59(x102632),x102636),x102637)))+~P144(f822(f822(f318(f892(x102631,a882)),f822(x102634,f464(x102635,x102633,x102634,x102631,x102637,x102636,x102632))),x102635))+P144(f822(f822(f318(f892(x102631,a882)),f822(f822(f38(x102632,f892(x102631,a882)),x102633),x102634)),x102635))
% 218.59/218.72 [8479]~P76(x84792)+~P26(x84791,x84795,x84798,x84794)+~E(x84793,f822(f72(x84795,x84792,x84791,x84796),x84798))+~E(x84797,f822(f299(x84791,x84795,x84798),x84794))+E(f822(f822(f11(x84791,x84792),x84793),x84794),f822(f822(f11(x84795,x84792),x84796),x84797))
% 218.59/218.72 [10267]~P76(x102672)+~P26(x102675,x102671,x102678,x102677)+~E(f822(x102676,f570(x102673,x102676,x102674,x102677,x102678,x102671,x102675,x102672)),f822(f822(f72(x102671,x102672,x102675,x102673),x102678),f570(x102673,x102676,x102674,x102677,x102678,x102671,x102675,x102672)))+~E(x102674,f822(f299(x102675,x102671,x102678),x102677))+E(f822(f822(f11(x102671,x102672),x102673),x102674),f822(f822(f11(x102675,x102672),x102676),x102677))
% 218.59/218.72 [10270]~P72(x102702)+~P26(x102701,x102705,x102708,x102704)+~E(x102707,f822(f299(x102701,x102705,x102708),x102704))+E(f822(f822(f8(x102701,x102702),x102703),x102704),f822(f822(f8(x102705,x102702),x102706),x102707))+P144(f822(f822(f318(x102701),f587(x102706,x102703,x102707,x102704,x102708,x102705,x102701,x102702)),x102704))
% 218.59/218.72 [10271]~P76(x102712)+~P26(x102711,x102715,x102718,x102714)+~E(x102717,f822(f299(x102711,x102715,x102718),x102714))+E(f822(f822(f11(x102711,x102712),x102713),x102714),f822(f822(f11(x102715,x102712),x102716),x102717))+P144(f822(f822(f318(x102711),f570(x102716,x102713,x102717,x102714,x102718,x102715,x102711,x102712)),x102714))
% 218.59/218.72 [10276]~P72(x102762)+~P26(x102765,x102761,x102768,x102767)+~E(x102764,f822(f299(x102765,x102761,x102768),x102767))+~E(f822(x102766,f587(x102763,x102766,x102764,x102767,x102768,x102761,x102765,x102762)),f822(x102763,f822(x102768,f587(x102763,x102766,x102764,x102767,x102768,x102761,x102765,x102762))))+E(f822(f822(f8(x102761,x102762),x102763),x102764),f822(f822(f8(x102765,x102762),x102766),x102767))
% 218.59/218.72 [9745]~P25(x97456,x97452,x97455,x97457,x97458,x97451)+~P144(f822(f60(x97452),x97454))+~P144(f822(f60(x97452),x97453))+~E(f822(f822(f97(f892(x97452,a882)),x97453),x97454),f182(f892(x97452,a882)))+E(f822(x97451,f822(f822(f96(f892(x97452,a882)),x97453),x97454)),f822(f822(x97455,f822(x97451,x97453)),f822(x97451,x97454)))
% 218.59/218.72 [10150]~P25(x101508,x101502,x101505,x101507,x101506,x101501)+~E(f822(x101506,f525(x101504,x101503,x101501,x101506,x101507,x101505,x101502)),x101507)+~P144(f822(f60(x101502),x101503))+~P144(f822(f60(x101502),x101504))+E(f822(x101501,f822(f822(f96(f892(x101502,a882)),x101503),x101504)),f822(f822(x101505,f822(x101501,x101503)),f822(x101501,x101504)))
% 218.59/218.72 [10217]~P25(x102178,x102172,x102175,x102177,x102176,x102171)+~P144(f822(f60(x102172),x102173))+~P144(f822(f60(x102172),x102174))+E(f822(x102171,f822(f822(f96(f892(x102172,a882)),x102173),x102174)),f822(f822(x102175,f822(x102171,x102173)),f822(x102171,x102174)))+P144(f822(f822(f318(x102172),f525(x102174,x102173,x102171,x102176,x102177,x102175,x102172)),f822(f822(f97(f892(x102172,a882)),x102173),x102174)))
% 218.59/218.72 [9903]~P10(x99034,x99038,x99035)+~P10(x99031,x99039,x99033)+~P14(x99031,x99034,f892(x99032,a882),x99033,x99035,x99037)+P13(x99031,f892(x99032,a882),x99033,f822(f822(f10(f892(x99034,f892(x99032,a882)),f892(x99032,a882),x99031),f822(f38(x99034,f892(x99032,a882)),f822(f274(x99034,x99034,x99035),f822(f822(f298(x99034),x99036),f182(f892(x99034,a882)))))),x99037))+~P144(f822(f822(f318(x99034),x99036),x99038))
% 218.59/218.72 [5413]~P92(x54133)+~P15(x54133,x54131)+E(x54131,f739(x54132,x54133))+~E(f822(f164(x54133),x54131),x54132)+~P144(f822(f60(x54133),x54132))+~P144(f822(f129(x54133),x54131))
% 218.59/218.72 [7311]P17(x73111,x73112)+~E(f822(x73112,f817(x73112)),f822(x73112,f818(x73112)))+~P144(f822(f822(x73112,f817(x73112)),f817(x73112)))+~P144(f822(f822(x73112,f817(x73112)),f818(x73112)))+~P144(f822(f822(x73112,f818(x73112)),f818(x73112)))+~P144(f822(f822(x73112,x73113),x73113))
% 218.59/218.72 [5032]~P129(x50322)+~P130(x50322)+~P146(x50322)+~P115(x50322)+E(x50321,f2(x50322))+~E(f822(f822(f235(x50322),x50321),x50323),f2(x50322))
% 218.59/218.72 [5033]~P129(x50332)+~P130(x50332)+~P146(x50332)+~P115(x50332)+~E(x50331,f2(a885))+~E(f822(f822(f235(x50332),x50333),x50331),f2(x50332))
% 218.59/218.72 [6531]~P86(x65311)+~E(x65313,f2(x65311))+~E(x65312,f2(x65311))+E(f822(f822(f79(x65311),x65312),x65313),f2(x65311))+~P144(f822(f822(f226(x65311),f2(x65311)),x65313))+~P144(f822(f822(f226(x65311),f2(x65311)),x65312))
% 218.59/218.72 [8935]~E(f822(f242(a885,a885),x89353),f2(a885))+~E(x89351,f822(f822(f79(a885),f822(f822(f80(a885),f822(f242(a885,a885),x89353)),x89352)),f822(f247(a885,a885),x89353)))+P144(f822(f47(x89351,x89352),x89353))+~P144(f822(f822(f226(a885),f822(f247(a885,a885),x89353)),f2(a885)))+P144(f822(f822(f227(a885),f2(a885)),x89352))+~P144(f822(f822(f227(a885),x89352),f822(f247(a885,a885),x89353)))
% 218.59/218.72 [8943]E(x89431,f2(a885))+~E(x89432,f822(f822(f79(a885),f822(f822(f80(a885),f822(f242(a885,a885),x89433)),x89431)),f822(f247(a885,a885),x89433)))+P144(f822(f47(x89432,x89431),x89433))+~P144(f822(f822(f227(a885),f2(a885)),x89431))+~P144(f822(f822(f226(a885),f2(a885)),f822(f247(a885,a885),x89433)))+~P144(f822(f822(f227(a885),f822(f247(a885,a885),x89433)),x89431))
% 218.59/218.72 [8961]~E(f822(f242(a885,a885),x89613),f2(a885))+~E(x89611,f822(f822(f79(a885),f822(f822(f80(a885),f822(f242(a885,a885),x89613)),x89612)),f822(f247(a885,a885),x89613)))+P144(f822(f47(x89611,x89612),x89613))+~P144(f822(f822(f227(a885),f2(a885)),x89612))+~P144(f822(f822(f226(a885),f2(a885)),f822(f247(a885,a885),x89613)))+~P144(f822(f822(f227(a885),f822(f247(a885,a885),x89613)),x89612))
% 218.59/218.72 [6929]~P100(x69292)+E(x69291,f182(f892(x69292,a882)))+E(x69293,f182(f892(x69292,a882)))+~P144(f822(f60(x69292),x69291))+~P144(f822(f60(x69292),x69293))+E(f15(x69292,f822(f822(f96(f892(x69292,a882)),x69293),x69291)),f822(f822(f96(x69292),f15(x69292,x69293)),f15(x69292,x69291)))
% 218.59/218.72 [6930]~P92(x69302)+E(x69301,f182(f892(x69302,a882)))+E(x69303,f182(f892(x69302,a882)))+~P144(f822(f60(x69302),x69301))+~P144(f822(f60(x69302),x69303))+E(f16(x69302,f822(f822(f96(f892(x69302,a882)),x69303),x69301)),f822(f822(f181(x69302),f16(x69302,x69303)),f16(x69302,x69301)))
% 218.59/218.72 [6931]~P92(x69312)+E(x69311,f182(f892(x69312,a882)))+E(x69313,f182(f892(x69312,a882)))+~P144(f822(f60(x69312),x69311))+~P144(f822(f60(x69312),x69313))+E(f17(x69312,f822(f822(f96(f892(x69312,a882)),x69313),x69311)),f822(f822(f230(x69312),f17(x69312,x69313)),f17(x69312,x69311)))
% 218.59/218.72 [6932]~P100(x69322)+E(x69321,f182(f892(x69322,a882)))+E(x69323,f182(f892(x69322,a882)))+~P144(f822(f60(x69322),x69321))+~P144(f822(f60(x69322),x69323))+E(f12(x69322,f822(f822(f96(f892(x69322,a882)),x69323),x69321)),f822(f822(f97(x69322),f12(x69322,x69323)),f12(x69322,x69321)))
% 218.59/218.72 [7600]~P98(x76002)+E(x76001,f182(f892(x76002,a882)))+E(x76003,f182(f892(x76002,a882)))+~P144(f822(f60(x76002),x76001))+~P144(f822(f60(x76002),x76003))+E(f822(f822(f80(x76002),f822(f62(x76002,f80(x76002)),x76003)),f822(f62(x76002,f80(x76002)),x76001)),f822(f62(x76002,f80(x76002)),f822(f822(f96(f892(x76002,a882)),x76003),x76001)))
% 218.59/218.72 [7762]~P92(x77622)+E(x77621,f182(f892(x77622,a882)))+E(x77623,f182(f892(x77622,a882)))+~P144(f822(f60(x77622),x77621))+~P144(f822(f60(x77622),x77623))+E(f822(f822(f181(x77622),f13(x77622,f181(x77622),x77623)),f13(x77622,f181(x77622),x77621)),f13(x77622,f181(x77622),f822(f822(f96(f892(x77622,a882)),x77623),x77621)))
% 218.59/218.72 [7763]~P92(x77632)+E(x77631,f182(f892(x77632,a882)))+E(x77633,f182(f892(x77632,a882)))+~P144(f822(f60(x77632),x77631))+~P144(f822(f60(x77632),x77633))+E(f822(f822(f230(x77632),f14(x77632,f230(x77632),x77633)),f14(x77632,f230(x77632),x77631)),f14(x77632,f230(x77632),f822(f822(f96(f892(x77632,a882)),x77633),x77631)))
% 218.59/218.72 [8778]~P144(f822(x87781,x87783))+P144(f822(x87781,f325(x87781,x87782)))+P144(f822(x87781,f874(x87781,x87782)))+~P144(f822(f822(f227(a1),f2(a1)),x87782))+~P144(f822(f822(f318(a1),x87783),f292(a1,f77(a1),x87782)))+P144(f822(x87781,f822(f822(f3(a1),f874(x87781,x87782)),f822(f822(f80(a1),f881(x87781,x87782)),x87782))))
% 218.59/218.72 [9066]~P144(f822(x90661,x90663))+~P144(f822(x90661,f874(x90661,x90662)))+P144(f822(x90661,f325(x90661,x90662)))+~P144(f822(f822(f227(a1),f2(a1)),x90662))+~P144(f822(f822(f318(a1),x90663),f292(a1,f77(a1),x90662)))+~P144(f822(x90661,f822(f822(f3(a1),f874(x90661,x90662)),f822(f822(f80(a1),f881(x90661,x90662)),x90662))))
% 218.59/218.72 [10297]~P104(x102972)+E(x102971,f182(f892(x102972,a882)))+E(x102973,f182(f892(x102972,a882)))+~P144(f822(f60(x102972),x102971))+~P144(f822(f60(x102972),x102973))+E(f12(x102972,f822(f253(x102972),f822(f822(f10(f892(x102972,a882),a882,x102972),f86(x102972)),f822(f822(f10(f892(x102972,f892(x102972,a882)),f892(x102972,a882),x102972),f822(f10(f892(x102972,a882),a882,x102972),f86(x102972))),f822(f822(f9(x102972,f892(x102972,f892(x102972,a882)),f892(x102972,f892(x102972,a882))),f822(f822(f10(f892(x102972,f892(f892(x102972,a882),f892(x102972,a882))),f892(f892(x102972,f892(x102972,a882)),f892(x102972,f892(x102972,a882))),x102972),f20(x102972,f892(x102972,a882),f892(x102972,a882))),f822(f822(f10(f892(x102972,f892(x102972,f892(a882,a882))),f892(x102972,f892(f892(x102972,a882),f892(x102972,a882))),x102972),f822(f10(f892(x102972,f892(a882,a882)),f892(f892(x102972,a882),f892(x102972,a882)),x102972),f20(x102972,a882,a882))),f822(f822(f10(f892(x102972,f892(x102972,a882)),f892(x102972,f892(x102972,f892(a882,a882))),x102972),f822(f10(f892(x102972,a882),f892(x102972,f892(a882,a882)),x102972),f822(f10(a882,f892(a882,a882),x102972),a315))),f822(f822(f9(x102972,f892(x102972,f892(x102972,x102972)),f892(x102972,f892(x102972,a882))),f822(f822(f10(f892(f892(x102972,x102972),f892(x102972,a882)),f892(f892(x102972,f892(x102972,x102972)),f892(x102972,f892(x102972,a882))),x102972),f10(f892(x102972,x102972),f892(x102972,a882),x102972)),f822(f822(f10(f892(x102972,a882),f892(f892(x102972,x102972),f892(x102972,a882)),x102972),f10(x102972,a882,x102972)),a314))),f96(x102972)))))),f822(f822(f9(x102972,f892(x102972,a882),f892(x102972,a882)),f822(f822(f10(f892(a882,a882),f892(f892(x102972,a882),f892(x102972,a882)),x102972),f10(a882,a882,x102972)),f822(f822(f10(a882,f892(a882,a882),x102972),a315),f822(f822(f9(x102972,f892(x102972,a882),a882),f318(x102972)),x102973)))),f822(f822(f9(x102972,f892(x102972,a882),a882),f318(x102972)),x102971))))))),f822(f822(f96(x102972),f12(x102972,x102973)),f12(x102972,x102971)))
% 218.59/218.72 [10298]~P104(x102982)+E(x102981,f182(f892(x102982,a882)))+E(x102983,f182(f892(x102982,a882)))+~P144(f822(f60(x102982),x102981))+~P144(f822(f60(x102982),x102983))+E(f15(x102982,f822(f253(x102982),f822(f822(f10(f892(x102982,a882),a882,x102982),f86(x102982)),f822(f822(f10(f892(x102982,f892(x102982,a882)),f892(x102982,a882),x102982),f822(f10(f892(x102982,a882),a882,x102982),f86(x102982))),f822(f822(f9(x102982,f892(x102982,f892(x102982,a882)),f892(x102982,f892(x102982,a882))),f822(f822(f10(f892(x102982,f892(f892(x102982,a882),f892(x102982,a882))),f892(f892(x102982,f892(x102982,a882)),f892(x102982,f892(x102982,a882))),x102982),f20(x102982,f892(x102982,a882),f892(x102982,a882))),f822(f822(f10(f892(x102982,f892(x102982,f892(a882,a882))),f892(x102982,f892(f892(x102982,a882),f892(x102982,a882))),x102982),f822(f10(f892(x102982,f892(a882,a882)),f892(f892(x102982,a882),f892(x102982,a882)),x102982),f20(x102982,a882,a882))),f822(f822(f10(f892(x102982,f892(x102982,a882)),f892(x102982,f892(x102982,f892(a882,a882))),x102982),f822(f10(f892(x102982,a882),f892(x102982,f892(a882,a882)),x102982),f822(f10(a882,f892(a882,a882),x102982),a315))),f822(f822(f9(x102982,f892(x102982,f892(x102982,x102982)),f892(x102982,f892(x102982,a882))),f822(f822(f10(f892(f892(x102982,x102982),f892(x102982,a882)),f892(f892(x102982,f892(x102982,x102982)),f892(x102982,f892(x102982,a882))),x102982),f10(f892(x102982,x102982),f892(x102982,a882),x102982)),f822(f822(f10(f892(x102982,a882),f892(f892(x102982,x102982),f892(x102982,a882)),x102982),f10(x102982,a882,x102982)),a314))),f97(x102982)))))),f822(f822(f9(x102982,f892(x102982,a882),f892(x102982,a882)),f822(f822(f10(f892(a882,a882),f892(f892(x102982,a882),f892(x102982,a882)),x102982),f10(a882,a882,x102982)),f822(f822(f10(a882,f892(a882,a882),x102982),a315),f822(f822(f9(x102982,f892(x102982,a882),a882),f318(x102982)),x102983)))),f822(f822(f9(x102982,f892(x102982,a882),a882),f318(x102982)),x102981))))))),f822(f822(f97(x102982),f15(x102982,x102983)),f15(x102982,x102981)))
% 218.59/218.72 [10299]~P92(x102992)+E(x102991,f182(f892(x102992,a882)))+E(x102993,f182(f892(x102992,a882)))+~P144(f822(f60(x102992),x102991))+~P144(f822(f60(x102992),x102993))+E(f13(x102992,f181(x102992),f822(f253(x102992),f822(f822(f10(f892(x102992,a882),a882,x102992),f86(x102992)),f822(f822(f10(f892(x102992,f892(x102992,a882)),f892(x102992,a882),x102992),f822(f10(f892(x102992,a882),a882,x102992),f86(x102992))),f822(f822(f9(x102992,f892(x102992,f892(x102992,a882)),f892(x102992,f892(x102992,a882))),f822(f822(f10(f892(x102992,f892(f892(x102992,a882),f892(x102992,a882))),f892(f892(x102992,f892(x102992,a882)),f892(x102992,f892(x102992,a882))),x102992),f20(x102992,f892(x102992,a882),f892(x102992,a882))),f822(f822(f10(f892(x102992,f892(x102992,f892(a882,a882))),f892(x102992,f892(f892(x102992,a882),f892(x102992,a882))),x102992),f822(f10(f892(x102992,f892(a882,a882)),f892(f892(x102992,a882),f892(x102992,a882)),x102992),f20(x102992,a882,a882))),f822(f822(f10(f892(x102992,f892(x102992,a882)),f892(x102992,f892(x102992,f892(a882,a882))),x102992),f822(f10(f892(x102992,a882),f892(x102992,f892(a882,a882)),x102992),f822(f10(a882,f892(a882,a882),x102992),a315))),f822(f822(f9(x102992,f892(x102992,f892(x102992,x102992)),f892(x102992,f892(x102992,a882))),f822(f822(f10(f892(f892(x102992,x102992),f892(x102992,a882)),f892(f892(x102992,f892(x102992,x102992)),f892(x102992,f892(x102992,a882))),x102992),f10(f892(x102992,x102992),f892(x102992,a882),x102992)),f822(f822(f10(f892(x102992,a882),f892(f892(x102992,x102992),f892(x102992,a882)),x102992),f10(x102992,a882,x102992)),a314))),f230(x102992)))))),f822(f822(f9(x102992,f892(x102992,a882),f892(x102992,a882)),f822(f822(f10(f892(a882,a882),f892(f892(x102992,a882),f892(x102992,a882)),x102992),f10(a882,a882,x102992)),f822(f822(f10(a882,f892(a882,a882),x102992),a315),f822(f822(f9(x102992,f892(x102992,a882),a882),f318(x102992)),x102993)))),f822(f822(f9(x102992,f892(x102992,a882),a882),f318(x102992)),x102991))))))),f822(f822(f230(x102992),f13(x102992,f181(x102992),x102993)),f13(x102992,f181(x102992),x102991)))
% 218.59/218.72 [10300]~P92(x103002)+E(x103001,f182(f892(x103002,a882)))+E(x103003,f182(f892(x103002,a882)))+~P144(f822(f60(x103002),x103001))+~P144(f822(f60(x103002),x103003))+E(f14(x103002,f230(x103002),f822(f253(x103002),f822(f822(f10(f892(x103002,a882),a882,x103002),f86(x103002)),f822(f822(f10(f892(x103002,f892(x103002,a882)),f892(x103002,a882),x103002),f822(f10(f892(x103002,a882),a882,x103002),f86(x103002))),f822(f822(f9(x103002,f892(x103002,f892(x103002,a882)),f892(x103002,f892(x103002,a882))),f822(f822(f10(f892(x103002,f892(f892(x103002,a882),f892(x103002,a882))),f892(f892(x103002,f892(x103002,a882)),f892(x103002,f892(x103002,a882))),x103002),f20(x103002,f892(x103002,a882),f892(x103002,a882))),f822(f822(f10(f892(x103002,f892(x103002,f892(a882,a882))),f892(x103002,f892(f892(x103002,a882),f892(x103002,a882))),x103002),f822(f10(f892(x103002,f892(a882,a882)),f892(f892(x103002,a882),f892(x103002,a882)),x103002),f20(x103002,a882,a882))),f822(f822(f10(f892(x103002,f892(x103002,a882)),f892(x103002,f892(x103002,f892(a882,a882))),x103002),f822(f10(f892(x103002,a882),f892(x103002,f892(a882,a882)),x103002),f822(f10(a882,f892(a882,a882),x103002),a315))),f822(f822(f9(x103002,f892(x103002,f892(x103002,x103002)),f892(x103002,f892(x103002,a882))),f822(f822(f10(f892(f892(x103002,x103002),f892(x103002,a882)),f892(f892(x103002,f892(x103002,x103002)),f892(x103002,f892(x103002,a882))),x103002),f10(f892(x103002,x103002),f892(x103002,a882),x103002)),f822(f822(f10(f892(x103002,a882),f892(f892(x103002,x103002),f892(x103002,a882)),x103002),f10(x103002,a882,x103002)),a314))),f181(x103002)))))),f822(f822(f9(x103002,f892(x103002,a882),f892(x103002,a882)),f822(f822(f10(f892(a882,a882),f892(f892(x103002,a882),f892(x103002,a882)),x103002),f10(a882,a882,x103002)),f822(f822(f10(a882,f892(a882,a882),x103002),a315),f822(f822(f9(x103002,f892(x103002,a882),a882),f318(x103002)),x103003)))),f822(f822(f9(x103002,f892(x103002,a882),a882),f318(x103002)),x103001))))))),f822(f822(f181(x103002),f14(x103002,f230(x103002),x103003)),f14(x103002,f230(x103002),x103001)))
% 218.59/218.72 [7267]~P90(x72673)+E(x72671,x72672)+~E(f822(f822(f235(x72673),x72671),x72674),f822(f822(f235(x72673),x72672),x72674))+~P144(f822(f822(f226(x72673),f2(x72673)),x72672))+~P144(f822(f822(f226(x72673),f2(x72673)),x72671))+~P144(f822(f822(f227(a885),f2(a885)),x72674))
% 218.59/218.72 [7559]~P92(x75592)+E(x75591,f182(f892(x75592,a882)))+~P144(f822(f60(x75592),x75591))+~P144(f822(f822(f318(x75592),x75594),x75591))+P144(f822(f822(f227(x75592),x75593),x75594))+~P144(f822(f822(f227(x75592),x75593),f822(f62(x75592,f230(x75592)),x75591)))
% 218.59/218.72 [7560]~P92(x75602)+E(x75601,f182(f892(x75602,a882)))+~P144(f822(f60(x75602),x75601))+~P144(f822(f822(f318(x75602),x75604),x75601))+P144(f822(f822(f226(x75602),x75603),x75604))+~P144(f822(f822(f226(x75602),x75603),f822(f62(x75602,f230(x75602)),x75601)))
% 218.59/218.72 [7561]~P105(x75612)+E(x75611,f182(f892(x75612,a882)))+~P144(f822(f60(x75612),x75611))+~P144(f822(f822(f318(x75612),x75614),x75611))+P144(f822(f822(f226(x75612),x75613),x75614))+~P144(f822(f822(f226(x75612),x75613),f822(f62(x75612,f97(x75612)),x75611)))
% 218.59/218.72 [7458]E(x74581,f2(a1))+E(f822(f822(f35(a1),x74582),x74581),x74583)+~P144(f822(f822(f226(a1),x74584),f2(a1)))+~E(x74582,f822(f822(f79(a1),f822(f822(f80(a1),x74581),x74583)),x74584))+P144(f822(f822(f227(a1),f2(a1)),x74581))+~P144(f822(f822(f227(a1),x74581),x74584))
% 218.59/218.72 [7475]E(f44(a1,x74752,x74751),x74753)+E(x74751,f2(a1))+~P144(f822(f822(f226(a1),x74753),f2(a1)))+~E(x74752,f822(f822(f79(a1),f822(f822(f80(a1),x74751),x74754)),x74753))+P144(f822(f822(f227(a1),f2(a1)),x74751))+~P144(f822(f822(f227(a1),x74751),x74753))
% 218.59/218.72 [7599]E(x75991,f2(a1))+E(f822(f822(f35(a1),x75992),x75991),x75993)+~E(x75992,f822(f822(f79(a1),f822(f822(f80(a1),x75991),x75993)),x75994))+~P144(f822(f822(f227(a1),f2(a1)),x75991))+~P144(f822(f822(f226(a1),f2(a1)),x75994))+~P144(f822(f822(f227(a1),x75994),x75991))
% 218.59/218.72 [7622]E(f44(a1,x76222,x76221),x76223)+E(x76221,f2(a1))+~E(x76222,f822(f822(f79(a1),f822(f822(f80(a1),x76221),x76224)),x76223))+~P144(f822(f822(f227(a1),f2(a1)),x76221))+~P144(f822(f822(f226(a1),f2(a1)),x76223))+~P144(f822(f822(f227(a1),x76223),x76221))
% 218.59/218.72 [7766]~P92(x77662)+E(x77661,f182(f892(x77662,a882)))+~P144(f822(f60(x77662),x77661))+~P144(f822(f822(f318(x77662),x77664),x77661))+~P144(f822(f822(f227(x77662),x77664),x77663))+P144(f822(f822(f227(x77662),f822(f62(x77662,f230(x77662)),x77661)),x77663))
% 218.59/218.72 [7767]~P92(x77672)+E(x77671,f182(f892(x77672,a882)))+~P144(f822(f60(x77672),x77671))+~P144(f822(f822(f318(x77672),x77674),x77671))+~P144(f822(f822(f226(x77672),x77674),x77673))+P144(f822(f822(f226(x77672),f822(f62(x77672,f230(x77672)),x77671)),x77673))
% 218.59/218.72 [8337]~P144(f822(f822(f226(a1),x83374),f2(a1)))+~E(x83371,f822(f822(f79(a1),f822(f822(f80(a1),x83372),x83373)),x83374))+~P144(f822(f822(f226(a1),f2(a1)),x83374))+~P144(f822(f822(f227(a1),x83374),x83372))+~P144(f822(f822(f227(a1),x83372),x83374))+P144(f822(f48(x83371,x83372),f822(f822(f243(a1,a1),x83373),x83374)))
% 218.59/218.72 [8499]~P91(x84991)+P144(f822(f822(f227(f892(x84991,a882)),f292(x84991,x84992,x84993)),f292(x84991,x84994,x84995)))+~P144(f822(f822(f227(x84991),x84993),x84995))+~P144(f822(f822(f226(x84991),x84994),x84992))+~P144(f822(f822(f226(x84991),x84994),x84995))+~P144(f822(f822(f226(x84991),x84993),x84995))
% 218.59/218.72 [8500]~P91(x85001)+P144(f822(f822(f227(f892(x85001,a882)),f292(x85001,x85002,x85003)),f292(x85001,x85004,x85005)))+~P144(f822(f822(f227(x85001),x85004),x85002))+~P144(f822(f822(f226(x85001),x85003),x85005))+~P144(f822(f822(f226(x85001),x85004),x85005))+~P144(f822(f822(f226(x85001),x85004),x85002))
% 218.59/218.72 [9333]P60(x93332,x93333,x93334,x93331)+E(x93331,f182(f892(x93332,a882)))+~P144(f822(f60(x93332),x93334))+~P144(f822(f60(x93332),x93331))+~P144(f822(f822(x93333,f489(x93331,x93334,x93333,x93332)),x93335))+~P144(f822(f822(f318(x93332),x93335),x93331))
% 218.59/218.72 [9334]P60(x93342,x93343,x93344,x93341)+E(x93341,f182(f892(x93342,a882)))+~P144(f822(f60(x93342),x93344))+~P144(f822(f60(x93342),x93341))+~P144(f822(f822(x93343,f809(x93343,x93341,x93344,x93342)),x93345))+~P144(f822(f822(f318(x93342),x93345),x93341))
% 218.59/218.72 [9335]P60(x93352,x93353,x93354,x93351)+E(x93351,f182(f892(x93352,a882)))+~P144(f822(f60(x93352),x93354))+~P144(f822(f60(x93352),x93351))+~P144(f822(f822(x93353,f810(x93351,x93354,x93353,x93352)),x93355))+~P144(f822(f822(f318(x93352),x93355),x93351))
% 218.59/218.72 [9478]~E(x94783,x94785)+~P72(x94781)+~P76(x94781)+~P39(x94783)+E(f822(f822(f8(a1,x94781),x94782),x94783),f822(f822(f8(a1,x94781),x94784),x94785))+P144(f822(f822(f226(a1),f2(a1)),f343(x94782,x94784,x94783,x94785,x94781)))
% 218.59/218.72 [9479]~E(x94793,x94795)+~P72(x94791)+~P76(x94791)+~P39(x94793)+E(f822(f822(f11(a1,x94791),x94792),x94793),f822(f822(f11(a1,x94791),x94794),x94795))+P144(f822(f822(f226(a1),f2(a1)),f488(x94792,x94794,x94793,x94795,x94791)))
% 218.59/218.72 [9652]~E(x96525,x96523)+~P72(x96521)+~P76(x96521)+~P39(x96525)+~E(f822(x96522,f343(x96524,x96522,x96525,x96523,x96521)),f822(x96524,f343(x96524,x96522,x96525,x96523,x96521)))+E(f822(f822(f8(a1,x96521),x96522),x96523),f822(f822(f8(a1,x96521),x96524),x96525))
% 218.59/218.72 [9653]~E(x96535,x96533)+~P72(x96531)+~P76(x96531)+~P39(x96535)+~E(f822(x96532,f488(x96534,x96532,x96535,x96533,x96531)),f822(x96534,f488(x96534,x96532,x96535,x96533,x96531)))+E(f822(f822(f11(a1,x96531),x96532),x96533),f822(f822(f11(a1,x96531),x96534),x96535))
% 218.59/218.72 [9743]~P80(x97433)+E(f822(x97431,x97432),f2(x97433))+~E(f822(f822(f8(x97434,x97433),x97431),x97435),f2(x97433))+~P144(f822(f60(x97434),x97435))+P144(f822(f822(f318(x97434),f424(x97432,x97431,x97435,x97434,x97433)),x97435))+~P144(f822(f822(f318(x97434),x97432),x97435))
% 218.59/218.72 [9876]~P80(x98763)+E(f822(x98761,x98762),f2(x98763))+~E(f822(f822(f8(x98764,x98763),x98761),x98765),f2(x98763))+~P144(f822(f60(x98764),x98765))+~P144(f822(f822(f318(x98764),x98762),x98765))+~P144(f822(f822(f226(x98763),f2(x98763)),f822(x98761,f424(x98762,x98761,x98765,x98764,x98763))))
% 218.59/218.72 [8419]~P131(x84191)+~P144(f822(f822(f226(x84191),f2(x84191)),x84193))+~P144(f822(f822(f227(x84191),x84193),x84195))+~P144(f822(f822(f227(x84191),x84192),x84194))+~P144(f822(f822(f227(x84191),f2(x84191)),x84194))+P144(f822(f822(f227(x84191),f822(f822(f80(x84191),x84192),x84193)),f822(f822(f80(x84191),x84194),x84195)))
% 218.59/218.72 [8420]~P131(x84201)+~P144(f822(f822(f226(x84201),f2(x84201)),x84203))+~P144(f822(f822(f226(x84201),f2(x84201)),x84202))+~P144(f822(f822(f227(x84201),x84203),x84205))+~P144(f822(f822(f227(x84201),x84202),x84204))+P144(f822(f822(f227(x84201),f822(f822(f80(x84201),x84202),x84203)),f822(f822(f80(x84201),x84204),x84205)))
% 218.59/218.72 [8421]~P131(x84211)+~P144(f822(f822(f226(x84211),x84212),x84214))+~P144(f822(f822(f226(x84211),f2(x84211)),x84213))+~P144(f822(f822(f227(x84211),x84213),x84215))+~P144(f822(f822(f227(x84211),f2(x84211)),x84212))+P144(f822(f822(f227(x84211),f822(f822(f80(x84211),x84212),x84213)),f822(f822(f80(x84211),x84214),x84215)))
% 218.59/218.72 [8422]~P131(x84221)+~P144(f822(f822(f226(x84221),x84223),x84225))+~P144(f822(f822(f226(x84221),f2(x84221)),x84222))+~P144(f822(f822(f227(x84221),x84222),x84224))+~P144(f822(f822(f227(x84221),f2(x84221)),x84223))+P144(f822(f822(f227(x84221),f822(f822(f80(x84221),x84222),x84223)),f822(f822(f80(x84221),x84224),x84225)))
% 218.59/218.72 [8423]~P67(x84231)+~P144(f822(f822(f226(x84231),x84232),x84234))+~P144(f822(f822(f227(x84231),x84235),x84233))+~P144(f822(f822(f227(x84231),f2(x84231)),x84235))+~P144(f822(f822(f227(x84231),f2(x84231)),x84232))+P144(f822(f822(f227(x84231),f822(f822(f280(x84231),x84232),x84233)),f822(f822(f280(x84231),x84234),x84235)))
% 218.59/218.72 [8424]~P67(x84241)+~P144(f822(f822(f226(x84241),x84245),x84243))+~P144(f822(f822(f226(x84241),f2(x84241)),x84242))+~P144(f822(f822(f227(x84241),x84242),x84244))+~P144(f822(f822(f227(x84241),f2(x84241)),x84245))+P144(f822(f822(f227(x84241),f822(f822(f280(x84241),x84242),x84243)),f822(f822(f280(x84241),x84244),x84245)))
% 218.59/218.72 [8425]~P138(x84251)+~P144(f822(f822(f226(x84251),x84253),x84255))+~P144(f822(f822(f226(x84251),x84252),x84254))+~P144(f822(f822(f226(x84251),f2(x84251)),x84253))+~P144(f822(f822(f226(x84251),f2(x84251)),x84254))+P144(f822(f822(f226(x84251),f822(f822(f80(x84251),x84252),x84253)),f822(f822(f80(x84251),x84254),x84255)))
% 218.59/218.72 [8426]~P138(x84261)+~P144(f822(f822(f226(x84261),x84263),x84265))+~P144(f822(f822(f226(x84261),x84262),x84264))+~P144(f822(f822(f226(x84261),f2(x84261)),x84263))+~P144(f822(f822(f226(x84261),f2(x84261)),x84262))+P144(f822(f822(f226(x84261),f822(f822(f80(x84261),x84262),x84263)),f822(f822(f80(x84261),x84264),x84265)))
% 218.59/218.72 [8427]~P67(x84271)+~P144(f822(f822(f227(x84271),f2(x84271)),x84275))+~P144(f822(f822(f226(x84271),x84275),x84273))+~P144(f822(f822(f226(x84271),x84272),x84274))+~P144(f822(f822(f226(x84271),f2(x84271)),x84272))+P144(f822(f822(f226(x84271),f822(f822(f280(x84271),x84272),x84273)),f822(f822(f280(x84271),x84274),x84275)))
% 218.59/218.72 [9783]~P72(x97835)+~P85(x97835)+E(x97831,f182(f892(x97832,a882)))+~P144(f822(f60(x97832),x97831))+P144(f822(f822(f318(x97832),f451(x97833,x97834,x97831,x97832,x97835)),x97831))+P144(f822(f822(f227(x97835),f822(f822(f8(x97832,x97835),x97834),x97831)),f822(f822(f8(x97832,x97835),x97833),x97831)))
% 218.59/218.72 [9899]~P72(x98991)+~P83(x98991)+~P144(f822(f60(x98992),x98995))+~P144(f822(f822(f226(x98991),f2(x98991)),f822(x98993,f376(x98993,x98994,x98995,x98992,x98991))))+P144(f822(f822(f226(x98991),f822(f822(f8(x98992,x98991),x98993),x98994)),f822(f822(f8(x98992,x98991),x98993),x98995)))+~P144(f822(f822(f226(f892(x98992,a882)),x98994),x98995))
% 218.59/218.72 [10068]~P72(x100683)+~P85(x100683)+E(x100681,f182(f892(x100682,a882)))+~P144(f822(f60(x100682),x100681))+~P144(f822(f822(f227(x100683),f822(x100684,f451(x100685,x100684,x100681,x100682,x100683))),f822(x100685,f451(x100685,x100684,x100681,x100682,x100683))))+P144(f822(f822(f227(x100683),f822(f822(f8(x100682,x100683),x100684),x100681)),f822(f822(f8(x100682,x100683),x100685),x100681)))
% 218.59/218.72 [7121]~P19(x71212,x71215,x71214)+E(x71211,f182(f892(x71212,a882)))+E(x71213,f182(f892(x71212,a882)))+~P144(f822(f60(x71212),x71211))+~P144(f822(f60(x71212),x71213))+E(f822(x71214,f822(f822(f96(f892(x71212,a882)),x71213),x71211)),f822(f822(x71215,f822(x71214,x71213)),f822(x71214,x71211)))
% 218.59/218.72 [7732]~P148(x77321,x77324,x77323)+P144(f822(x77321,x77322))+~P144(f822(f822(f227(a1),x77324),f2(a1)))+~P144(f822(f822(f226(a1),x77325),f2(a1)))+~E(x77323,f822(f822(f79(a1),f822(f822(f80(a1),x77324),x77322)),x77325))+~P144(f822(f822(f227(a1),x77324),x77325))
% 218.59/218.72 [7733]~P147(x77331,x77334,x77333)+P144(f822(x77331,x77332))+~P144(f822(f822(f227(a1),x77334),f2(a1)))+~P144(f822(f822(f226(a1),x77332),f2(a1)))+~E(x77333,f822(f822(f79(a1),f822(f822(f80(a1),x77334),x77335)),x77332))+~P144(f822(f822(f227(a1),x77334),x77332))
% 218.59/218.72 [7775]~P148(x77751,x77754,x77753)+P144(f822(x77751,x77752))+~E(x77753,f822(f822(f79(a1),f822(f822(f80(a1),x77754),x77752)),x77755))+~P144(f822(f822(f227(a1),f2(a1)),x77754))+~P144(f822(f822(f226(a1),f2(a1)),x77755))+~P144(f822(f822(f227(a1),x77755),x77754))
% 218.59/218.72 [7776]~P147(x77761,x77764,x77763)+P144(f822(x77761,x77762))+~E(x77763,f822(f822(f79(a1),f822(f822(f80(a1),x77764),x77765)),x77762))+~P144(f822(f822(f227(a1),f2(a1)),x77764))+~P144(f822(f822(f226(a1),f2(a1)),x77762))+~P144(f822(f822(f227(a1),x77762),x77764))
% 218.59/218.72 [8703]P144(f822(f822(x87031,x87032),x87033))+~P144(f822(f822(x87031,f822(f822(f35(a1),x87034),x87035)),f44(a1,x87034,x87035)))+~P144(f822(f822(f227(a1),x87035),f2(a1)))+~P144(f822(f822(f226(a1),x87033),f2(a1)))+~E(x87034,f822(f822(f79(a1),f822(f822(f80(a1),x87035),x87032)),x87033))+~P144(f822(f822(f227(a1),x87035),x87033))
% 218.59/218.72 [8710]P144(f822(f822(x87101,x87102),x87103))+~P144(f822(f822(x87101,f822(f822(f35(a1),x87104),x87105)),f44(a1,x87104,x87105)))+~E(x87104,f822(f822(f79(a1),f822(f822(f80(a1),x87105),x87102)),x87103))+~P144(f822(f822(f227(a1),f2(a1)),x87105))+~P144(f822(f822(f226(a1),f2(a1)),x87103))+~P144(f822(f822(f227(a1),x87103),x87105))
% 218.59/218.72 [8951]E(x89511,x89512)+~P57(x89513,x89515,x89514)+~P144(f822(f822(f318(x89513),x89512),x89515))+~P144(f822(f822(f318(x89513),x89511),x89515))+P144(f822(f822(f318(f891(x89513,x89513)),f822(f822(f243(x89513,x89513),x89511),x89512)),x89514))+P144(f822(f822(f318(f891(x89513,x89513)),f822(f822(f243(x89513,x89513),x89512),x89511)),x89514))
% 218.59/218.72 [9817]~P72(x98175)+~P83(x98175)+~P144(f822(f60(x98171),x98174))+P144(f822(f822(f226(x98175),f822(f822(f8(x98171,x98175),x98172),x98173)),f822(f822(f8(x98171,x98175),x98172),x98174)))+~P144(f822(f822(f226(f892(x98171,a882)),x98173),x98174))+P144(f822(f822(f318(x98171),f376(x98172,x98173,x98174,x98171,x98175)),f822(f822(f3(f892(x98171,a882)),x98174),x98173)))
% 218.59/218.72 [9907]E(x99071,f182(f892(x99072,a882)))+~P144(f822(f60(x99072),x99073))+~P144(f822(f60(x99072),x99071))+P144(f822(f822(f318(f891(f892(x99072,a882),f892(x99072,a882))),f822(f822(f243(f892(x99072,a882),f892(x99072,a882)),x99073),x99071)),f307(x99072,x99074)))+~P144(f822(f822(f318(x99072),x99075),x99071))+~P144(f822(f822(f318(f891(x99072,x99072)),f822(f822(f243(x99072,x99072),f491(x99074,x99071,x99073,x99072)),x99075)),x99074))
% 218.59/218.72 [9908]E(x99081,f182(f892(x99082,a882)))+~P144(f822(f60(x99082),x99083))+~P144(f822(f60(x99082),x99081))+P144(f822(f822(f318(f891(f892(x99082,a882),f892(x99082,a882))),f822(f822(f243(f892(x99082,a882),f892(x99082,a882)),x99083),x99081)),f307(x99082,x99084)))+~P144(f822(f822(f318(x99082),x99085),x99081))+~P144(f822(f822(f318(f891(x99082,x99082)),f822(f822(f243(x99082,x99082),f582(x99084,x99081,x99083,x99082)),x99085)),x99084))
% 218.59/218.72 [10072]~P80(x100721)+~E(f822(f822(f8(x100725,x100721),x100722),x100726),x100724)+~P144(f822(f60(x100725),x100726))+P144(f822(f822(f318(x100725),f429(x100723,x100724,x100722,x100726,x100725,x100721)),x100726))+P144(f822(f822(f226(x100721),f822(x100722,x100723)),x100724))+~P144(f822(f822(f318(x100725),x100723),x100726))
% 218.59/218.72 [10121]~P80(x101211)+~E(f822(f822(f8(x101215,x101211),x101212),x101216),x101214)+~P144(f822(f60(x101215),x101216))+~P144(f822(f822(f318(x101215),x101213),x101216))+~P144(f822(f822(f226(x101211),f2(x101211)),f822(x101212,f429(x101213,x101214,x101212,x101216,x101215,x101211))))+P144(f822(f822(f226(x101211),f822(x101212,x101213)),x101214))
% 218.59/218.72 [10250]~E(x102505,x102508)+~E(x102504,x102507)+~P72(x102502)+~P109(x102501)+E(f822(f822(f8(x102501,x102502),x102503),f822(f291(x102501,x102504),x102505)),f822(f822(f8(x102501,x102502),x102506),f822(f291(x102501,x102507),x102508)))+P144(f822(f822(f226(x102501),x102504),f340(x102503,x102506,x102505,x102508,x102504,x102507,x102501,x102502)))
% 218.59/218.72 [10266]~E(x102667,x102664)+~E(x102668,x102665)+~P72(x102662)+~P109(x102661)+~E(f822(x102663,f340(x102666,x102663,x102668,x102665,x102667,x102664,x102661,x102662)),f822(x102666,f340(x102666,x102663,x102668,x102665,x102667,x102664,x102661,x102662)))+E(f822(f822(f8(x102661,x102662),x102663),f822(f291(x102661,x102664),x102665)),f822(f822(f8(x102661,x102662),x102666),f822(f291(x102661,x102667),x102668)))
% 218.59/218.72 [10269]~E(x102694,x102697)+~E(x102695,x102698)+~P72(x102692)+~P109(x102691)+E(f822(f822(f8(x102691,x102692),x102693),f822(f291(x102691,x102694),x102695)),f822(f822(f8(x102691,x102692),x102696),f822(f291(x102691,x102697),x102698)))+P144(f822(f822(f227(x102691),f340(x102693,x102696,x102695,x102698,x102694,x102697,x102691,x102692)),x102695))
% 218.59/218.72 [9913]~P10(x99135,x99139,x99136)+~P10(x99131,x991310,x99133)+~P14(x99131,x99135,f892(x99132,a882),x99133,x99136,x99138)+~P144(f822(f822(f318(x99135),x99137),x99139))+~P144(f822(f822(f318(x99131),x99134),x991310))+E(f822(f822(f38(x99131,f892(x99132,a882)),f822(f274(x99131,x99131,x99133),f822(f822(f298(x99131),x99134),f182(f892(x99131,a882))))),f822(f822(f10(f892(x99135,f892(x99132,a882)),f892(x99132,a882),x99131),f822(f38(x99135,f892(x99132,a882)),f822(f274(x99135,x99135,x99136),f822(f822(f298(x99135),x99137),f182(f892(x99135,a882)))))),x99138)),f822(f822(x99138,x99134),x99137))
% 218.59/218.72 [5587]~P92(x55873)+~P15(x55873,x55872)+~P15(x55873,x55871)+E(x55871,x55872)+~E(f822(f164(x55873),x55871),f822(f164(x55873),x55872))+~P144(f822(f129(x55873),x55872))+~P144(f822(f129(x55873),x55871))
% 218.59/218.72 [4906]~P129(x49062)+~P130(x49062)+~P146(x49062)+~P115(x49062)+~E(x49063,f2(x49062))+E(x49061,f2(a885))+E(f822(f822(f235(x49062),x49063),x49061),f2(x49062))
% 218.59/218.72 [9212]E(x92121,f2(a885))+~E(x92122,f822(f822(f79(a885),f822(f822(f80(a885),f822(f242(a885,a885),x92123)),x92121)),f822(f247(a885,a885),x92123)))+P144(f822(f47(x92122,x92121),x92123))+~P144(f822(f822(f226(a885),f822(f247(a885,a885),x92123)),f2(a885)))+~P144(f822(f822(f226(a885),f2(a885)),f822(f247(a885,a885),x92123)))+~P144(f822(f822(f227(a885),x92121),f822(f247(a885,a885),x92123)))+~P144(f822(f822(f227(a885),f822(f247(a885,a885),x92123)),x92121))
% 218.59/218.72 [9220]~E(f822(f242(a885,a885),x92203),f2(a885))+~E(x92201,f822(f822(f79(a885),f822(f822(f80(a885),f822(f242(a885,a885),x92203)),x92202)),f822(f247(a885,a885),x92203)))+P144(f822(f47(x92201,x92202),x92203))+~P144(f822(f822(f226(a885),f822(f247(a885,a885),x92203)),f2(a885)))+~P144(f822(f822(f226(a885),f2(a885)),f822(f247(a885,a885),x92203)))+~P144(f822(f822(f227(a885),x92202),f822(f247(a885,a885),x92203)))+~P144(f822(f822(f227(a885),f822(f247(a885,a885),x92203)),x92202))
% 218.59/218.72 [8093]~P70(x80932)+E(x80931,f182(f892(x80932,a882)))+E(x80933,f182(f892(x80932,a882)))+~P144(f822(f60(x80932),x80931))+~P144(f822(f60(x80932),x80933))+~E(f822(f822(f97(f892(x80932,a882)),x80933),x80931),f182(f892(x80932,a882)))+E(f822(f822(f80(x80932),f822(f62(x80932,f80(x80932)),x80933)),f822(f62(x80932,f80(x80932)),x80931)),f822(f62(x80932,f80(x80932)),f822(f822(f96(f892(x80932,a882)),x80933),x80931)))
% 218.59/218.72 [7870]E(x78701,f2(a1))+E(f822(f822(f35(a1),x78702),x78701),x78703)+~P144(f822(f822(f226(a1),x78704),f2(a1)))+~E(x78702,f822(f822(f79(a1),f822(f822(f80(a1),x78701),x78703)),x78704))+~P144(f822(f822(f226(a1),f2(a1)),x78704))+~P144(f822(f822(f227(a1),x78704),x78701))+~P144(f822(f822(f227(a1),x78701),x78704))
% 218.59/218.72 [7878]E(f44(a1,x78782,x78781),x78783)+E(x78781,f2(a1))+~P144(f822(f822(f226(a1),x78783),f2(a1)))+~E(x78782,f822(f822(f79(a1),f822(f822(f80(a1),x78781),x78784)),x78783))+~P144(f822(f822(f226(a1),f2(a1)),x78783))+~P144(f822(f822(f227(a1),x78783),x78781))+~P144(f822(f822(f227(a1),x78781),x78783))
% 218.59/218.72 [6896]~P5(x68962)+E(x68961,f2(x68962))+E(x68963,f2(x68962))+~E(f822(f822(f35(x68962),x68964),x68963),f822(f822(f35(x68962),x68965),x68961))+E(f822(f822(f80(x68962),x68964),x68961),f822(f822(f80(x68962),x68963),x68965))+~P144(f822(f822(f276(x68962),x68961),x68965))+~P144(f822(f822(f276(x68962),x68963),x68964))
% 218.59/218.72 [6897]~P5(x68972)+E(x68971,f2(x68972))+E(x68973,f2(x68972))+~E(f822(f822(f80(x68972),x68974),x68973),f822(f822(f80(x68972),x68971),x68975))+E(f822(f822(f35(x68972),x68974),x68971),f822(f822(f35(x68972),x68975),x68973))+~P144(f822(f822(f276(x68972),x68971),x68974))+~P144(f822(f822(f276(x68972),x68973),x68975))
% 218.59/218.72 [7785]~P20(x77852,x77855,x77854)+E(x77851,f182(f892(x77852,a882)))+E(x77853,f182(f892(x77852,a882)))+~P144(f822(f60(x77852),x77851))+~P144(f822(f60(x77852),x77853))+~E(f822(f822(f97(f892(x77852,a882)),x77853),x77851),f182(f892(x77852,a882)))+E(f822(x77854,f822(f822(f96(f892(x77852,a882)),x77853),x77851)),f822(f822(x77855,f822(x77854,x77853)),f822(x77854,x77851)))
% 218.59/218.72 [9452]~P26(x94523,x94521,x94525,x94524)+~P26(x94521,x94523,x94526,x94522)+E(f822(f34(x94521),x94522),f822(f34(x94523),x94524))+~P144(f822(f60(x94523),x94524))+~P144(f822(f60(x94521),x94522))+~P144(f822(f822(f226(f892(x94523,a882)),f822(f299(x94521,x94523,x94526),x94522)),x94524))+~P144(f822(f822(f226(f892(x94521,a882)),f822(f299(x94523,x94521,x94525),x94524)),x94522))
% 218.59/218.72 [9396]~P144(f822(f822(f227(a1),f822(f822(f79(a1),f822(f822(f80(a1),x93965),x93961)),x93966)),f2(a1)))+~E(f822(f822(f79(a1),f822(f822(f80(a1),x93963),x93962)),x93964),f822(f822(f79(a1),f822(f822(f80(a1),x93965),x93961)),x93966))+~P144(f822(f822(f227(a1),f2(a1)),x93965))+~P144(f822(f822(f226(a1),f2(a1)),x93966))+~P144(f822(f822(f227(a1),x93964),x93963))+~P144(f822(f822(f226(a1),x93965),x93963))+P144(f822(f822(f226(a1),x93961),x93962))
% 218.59/218.72 [9153]~E(f822(f822(f79(a1),f822(f822(f80(a1),x91533),x91531)),x91534),f822(f822(f79(a1),f822(f822(f80(a1),x91535),x91532)),x91536))+~P144(f822(f822(f227(a1),f2(a1)),x91535))+~P144(f822(f822(f226(a1),f2(a1)),x91534))+~P144(f822(f822(f227(a1),x91536),x91535))+~P144(f822(f822(f226(a1),x91535),x91533))+P144(f822(f822(f226(a1),x91531),x91532))+~P144(f822(f822(f226(a1),f2(a1)),f822(f822(f79(a1),f822(f822(f80(a1),x91535),x91532)),x91536)))
% 218.59/218.72 [9338]~P134(x93381)+~E(f822(f822(f79(x93381),x93382),x93384),f77(x93381))+~P144(f822(f822(f226(x93381),f2(x93381)),x93384))+~P144(f822(f822(f226(x93381),f2(x93381)),x93382))+~P144(f822(f822(f227(x93381),x93385),x93386))+~P144(f822(f822(f227(x93381),x93383),x93386))+P144(f822(f822(f227(x93381),f822(f822(f79(x93381),f822(f822(f80(x93381),x93382),x93383)),f822(f822(f80(x93381),x93384),x93385))),x93386))
% 218.59/218.72 [9339]~P132(x93391)+~E(f822(f822(f79(x93391),x93392),x93394),f77(x93391))+~P144(f822(f822(f226(x93391),x93395),x93396))+~P144(f822(f822(f226(x93391),x93393),x93396))+~P144(f822(f822(f226(x93391),f2(x93391)),x93394))+~P144(f822(f822(f226(x93391),f2(x93391)),x93392))+P144(f822(f822(f226(x93391),f822(f822(f79(x93391),f822(f822(f80(x93391),x93392),x93393)),f822(f822(f80(x93391),x93394),x93395))),x93396))
% 218.59/218.72 [10163]~P10(x101637,x101636,x101635)+E(x101631,x101632)+~P13(x101637,f892(x101634,a882),x101635,x101633)+E(f822(x101633,f462(x101631,x101632,x101633,x101634,x101635,x101636,x101637)),f822(x101633,f463(x101631,x101632,x101633,x101634,x101635,x101636,x101637)))+~E(f822(f822(f38(x101637,f892(x101634,a882)),x101631),x101633),f822(f822(f38(x101637,f892(x101634,a882)),x101632),x101633))+~P144(f822(f822(f318(f892(x101637,a882)),x101632),f822(f822(f59(x101637),x101636),x101635)))+~P144(f822(f822(f318(f892(x101637,a882)),x101631),f822(f822(f59(x101637),x101636),x101635)))
% 218.59/218.72 [10208]~P10(x102083,x102087,x102086)+E(x102081,x102082)+~P13(x102083,f892(x102085,a882),x102086,x102084)+~E(f822(f822(f38(x102083,f892(x102085,a882)),x102081),x102084),f822(f822(f38(x102083,f892(x102085,a882)),x102082),x102084))+P144(f822(f822(f318(x102083),f463(x102081,x102082,x102084,x102085,x102086,x102087,x102083)),x102087))+~P144(f822(f822(f318(f892(x102083,a882)),x102082),f822(f822(f59(x102083),x102087),x102086)))+~P144(f822(f822(f318(f892(x102083,a882)),x102081),f822(f822(f59(x102083),x102087),x102086)))
% 218.59/218.72 [10209]~P10(x102093,x102097,x102096)+E(x102091,x102092)+~P13(x102093,f892(x102095,a882),x102096,x102094)+~E(f822(f822(f38(x102093,f892(x102095,a882)),x102091),x102094),f822(f822(f38(x102093,f892(x102095,a882)),x102092),x102094))+P144(f822(f822(f318(x102093),f462(x102091,x102092,x102094,x102095,x102096,x102097,x102093)),x102097))+~P144(f822(f822(f318(f892(x102093,a882)),x102092),f822(f822(f59(x102093),x102097),x102096)))+~P144(f822(f822(f318(f892(x102093,a882)),x102091),f822(f822(f59(x102093),x102097),x102096)))
% 218.59/218.72 [10283]E(x102831,x102832)+~P10(x102833,x102836,x102837)+~P13(x102833,f892(x102834,a882),x102837,x102835)+~E(f822(f822(f38(x102833,f892(x102834,a882)),x102831),x102835),f822(f822(f38(x102833,f892(x102834,a882)),x102832),x102835))+~P144(f822(f822(f318(f891(x102833,x102833)),f822(f822(f243(x102833,x102833),f463(x102831,x102832,x102835,x102834,x102837,x102836,x102833)),f462(x102831,x102832,x102835,x102834,x102837,x102836,x102833))),x102837))+~P144(f822(f822(f318(f892(x102833,a882)),x102832),f822(f822(f59(x102833),x102836),x102837)))+~P144(f822(f822(f318(f892(x102833,a882)),x102831),f822(f822(f59(x102833),x102836),x102837)))
% 218.59/218.72 [9152]~P10(x91521,x91527,x91524)+~E(x91525,x91526)+~P144(f822(f822(f318(x91521),x91523),x91526))+~P144(f822(f822(f318(x91521),x91522),x91525))+~P144(f822(f822(f318(f892(x91521,a882)),x91526),f822(f822(f59(x91521),x91527),x91524)))+~P144(f822(f822(f318(f892(x91521,a882)),x91525),f822(f822(f59(x91521),x91527),x91524)))+P144(f822(f822(f318(f891(x91521,x91521)),f822(f822(f243(x91521,x91521),x91522),x91523)),x91524))
% 218.59/218.72 [9296]E(x92961,x92962)+~P10(x92963,x92964,x92965)+~P144(f822(f822(f318(x92963),x92966),x92962))+~P144(f822(f822(f318(x92963),x92967),x92961))+~P144(f822(f822(f318(f892(x92963,a882)),x92962),f822(f822(f59(x92963),x92964),x92965)))+~P144(f822(f822(f318(f892(x92963,a882)),x92961),f822(f822(f59(x92963),x92964),x92965)))+~P144(f822(f822(f318(f891(x92963,x92963)),f822(f822(f243(x92963,x92963),x92967),x92966)),x92965))
% 218.59/218.72 [10302]~P10(x103029,x103028,x103027)+~P10(x103021,x1030211,x1030210)+~P14(x103021,x103029,f892(x103026,a882),x1030210,x103027,x103025)+P144(f822(f822(f318(x103021),f465(x103022,x103023,x103024,x103025,x103026,x103027,x103028,x103029,x1030210,x1030211,x103021)),x1030211))+~P144(f822(f822(f318(f892(x103029,a882)),x103023),f822(f822(f59(x103029),x103028),x103027)))+~P144(f822(f822(f318(f892(x103021,a882)),x103024),f822(f822(f59(x103021),x1030211),x1030210)))+P144(f822(f822(f318(f892(x103026,a882)),f822(f822(f38(x103021,f892(x103026,a882)),x103024),f822(f822(f10(f892(x103029,f892(x103026,a882)),f892(x103026,a882),x103021),f822(f38(x103029,f892(x103026,a882)),x103023)),x103025))),x103022))
% 218.59/218.72 [10303]~P10(x1030311,x1030310,x103039)+~P10(x103031,x103038,x103037)+~P14(x1030311,x103031,f892(x103036,a882),x103039,x103037,x103035)+P144(f822(f822(f318(x103031),f466(x103032,x103033,x103034,x103035,x103036,x103037,x103038,x103031,x103039,x1030310,x1030311)),x103038))+~P144(f822(f822(f318(f892(x1030311,a882)),x103034),f822(f822(f59(x1030311),x1030310),x103039)))+~P144(f822(f822(f318(f892(x103031,a882)),x103033),f822(f822(f59(x103031),x103038),x103037)))+P144(f822(f822(f318(f892(x103036,a882)),f822(f822(f38(x1030311,f892(x103036,a882)),x103034),f822(f822(f10(f892(x103031,f892(x103036,a882)),f892(x103036,a882),x1030311),f822(f38(x103031,f892(x103036,a882)),x103033)),x103035))),x103032))
% 218.59/218.72 [10304]~P10(x103042,x103048,x103049)+~P10(x103044,x1030410,x1030411)+~P14(x103042,x103044,f892(x103041,a882),x103049,x1030411,x103046)+~P144(f822(f822(f318(f892(x103042,a882)),x103043),f822(f822(f59(x103042),x103048),x103049)))+~P144(f822(f822(f318(f892(x103044,a882)),x103045),f822(f822(f59(x103044),x1030410),x1030411)))+~P144(f822(f822(f318(f892(x103041,a882)),f822(f822(x103046,f465(x103047,x103045,x103043,x103046,x103041,x1030411,x1030410,x103044,x103049,x103048,x103042)),f466(x103047,x103045,x103043,x103046,x103041,x1030411,x1030410,x103044,x103049,x103048,x103042))),x103047))+P144(f822(f822(f318(f892(x103041,a882)),f822(f822(f38(x103042,f892(x103041,a882)),x103043),f822(f822(f10(f892(x103044,f892(x103041,a882)),f892(x103041,a882),x103042),f822(f38(x103044,f892(x103041,a882)),x103045)),x103046))),x103047))
% 218.59/218.72 [9199]E(x91991,x91992)+~P92(x91994)+~P26(x91993,x91994,x91995,f822(f822(f96(f892(x91993,a882)),f822(f164(x91993),x91991)),f822(f164(x91993),x91992)))+~E(f822(f164(x91993),x91991),f822(f164(x91993),x91992))+~P15(x91994,f822(f822(f146(x91993,x91994),x91995),x91992))+~P15(x91994,f822(f822(f146(x91993,x91994),x91995),x91991))+~P144(f822(f129(x91994),f822(f822(f146(x91993,x91994),x91995),x91992)))+~P144(f822(f129(x91994),f822(f822(f146(x91993,x91994),x91995),x91991)))
% 218.59/218.72 %EqnAxiom
% 218.59/218.72 [1]E(x11,x11)
% 218.59/218.72 [2]E(x22,x21)+~E(x21,x22)
% 218.59/218.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 218.59/218.72 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 218.59/218.72 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 218.59/218.72 [6]~E(x61,x62)+E(f95(x61),f95(x62))
% 218.59/218.72 [7]~E(x71,x72)+E(f28(x71),f28(x72))
% 218.59/218.72 [8]~E(x81,x82)+E(f822(x81,x83),f822(x82,x83))
% 218.59/218.72 [9]~E(x91,x92)+E(f822(x93,x91),f822(x93,x92))
% 218.59/218.72 [10]~E(x101,x102)+E(f83(x101),f83(x102))
% 218.59/218.72 [11]~E(x111,x112)+E(f243(x111,x113),f243(x112,x113))
% 218.59/218.72 [12]~E(x121,x122)+E(f243(x123,x121),f243(x123,x122))
% 218.59/218.72 [13]~E(x131,x132)+E(f10(x131,x133,x134),f10(x132,x133,x134))
% 218.59/218.72 [14]~E(x141,x142)+E(f10(x143,x141,x144),f10(x143,x142,x144))
% 218.59/218.72 [15]~E(x151,x152)+E(f10(x153,x154,x151),f10(x153,x154,x152))
% 218.59/218.72 [16]~E(x161,x162)+E(f887(x161),f887(x162))
% 218.59/218.72 [17]~E(x171,x172)+E(f181(x171),f181(x172))
% 218.59/218.72 [18]~E(x181,x182)+E(f96(x181),f96(x182))
% 218.59/218.72 [19]~E(x191,x192)+E(f182(x191),f182(x192))
% 218.59/218.72 [20]~E(x201,x202)+E(f466(x201,x203,x204,x205,x206,x207,x208,x209,x2010,x2011,x2012),f466(x202,x203,x204,x205,x206,x207,x208,x209,x2010,x2011,x2012))
% 218.59/218.72 [21]~E(x211,x212)+E(f466(x213,x211,x214,x215,x216,x217,x218,x219,x2110,x2111,x2112),f466(x213,x212,x214,x215,x216,x217,x218,x219,x2110,x2111,x2112))
% 218.59/218.72 [22]~E(x221,x222)+E(f466(x223,x224,x221,x225,x226,x227,x228,x229,x2210,x2211,x2212),f466(x223,x224,x222,x225,x226,x227,x228,x229,x2210,x2211,x2212))
% 218.59/218.72 [23]~E(x231,x232)+E(f466(x233,x234,x235,x231,x236,x237,x238,x239,x2310,x2311,x2312),f466(x233,x234,x235,x232,x236,x237,x238,x239,x2310,x2311,x2312))
% 218.59/218.72 [24]~E(x241,x242)+E(f466(x243,x244,x245,x246,x241,x247,x248,x249,x2410,x2411,x2412),f466(x243,x244,x245,x246,x242,x247,x248,x249,x2410,x2411,x2412))
% 218.59/218.72 [25]~E(x251,x252)+E(f466(x253,x254,x255,x256,x257,x251,x258,x259,x2510,x2511,x2512),f466(x253,x254,x255,x256,x257,x252,x258,x259,x2510,x2511,x2512))
% 218.59/218.72 [26]~E(x261,x262)+E(f466(x263,x264,x265,x266,x267,x268,x261,x269,x2610,x2611,x2612),f466(x263,x264,x265,x266,x267,x268,x262,x269,x2610,x2611,x2612))
% 218.59/218.72 [27]~E(x271,x272)+E(f466(x273,x274,x275,x276,x277,x278,x279,x271,x2710,x2711,x2712),f466(x273,x274,x275,x276,x277,x278,x279,x272,x2710,x2711,x2712))
% 218.59/218.72 [28]~E(x281,x282)+E(f466(x283,x284,x285,x286,x287,x288,x289,x2810,x281,x2811,x2812),f466(x283,x284,x285,x286,x287,x288,x289,x2810,x282,x2811,x2812))
% 218.59/218.72 [29]~E(x291,x292)+E(f466(x293,x294,x295,x296,x297,x298,x299,x2910,x2911,x291,x2912),f466(x293,x294,x295,x296,x297,x298,x299,x2910,x2911,x292,x2912))
% 218.59/218.72 [30]~E(x301,x302)+E(f466(x303,x304,x305,x306,x307,x308,x309,x3010,x3011,x3012,x301),f466(x303,x304,x305,x306,x307,x308,x309,x3010,x3011,x3012,x302))
% 218.59/218.72 [31]~E(x311,x312)+E(f230(x311),f230(x312))
% 218.59/218.72 [32]~E(x321,x322)+E(f97(x321),f97(x322))
% 218.59/218.72 [33]~E(x331,x332)+E(f98(x331),f98(x332))
% 218.59/218.72 [34]~E(x341,x342)+E(f31(x341),f31(x342))
% 218.59/218.72 [35]~E(x351,x352)+E(f891(x351,x353),f891(x352,x353))
% 218.59/218.72 [36]~E(x361,x362)+E(f891(x363,x361),f891(x363,x362))
% 218.59/218.72 [37]~E(x371,x372)+E(f77(x371),f77(x372))
% 218.59/218.72 [38]~E(x381,x382)+E(f465(x381,x383,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f465(x382,x383,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 218.59/218.72 [39]~E(x391,x392)+E(f465(x393,x391,x394,x395,x396,x397,x398,x399,x3910,x3911,x3912),f465(x393,x392,x394,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 218.59/218.72 [40]~E(x401,x402)+E(f465(x403,x404,x401,x405,x406,x407,x408,x409,x4010,x4011,x4012),f465(x403,x404,x402,x405,x406,x407,x408,x409,x4010,x4011,x4012))
% 218.59/218.72 [41]~E(x411,x412)+E(f465(x413,x414,x415,x411,x416,x417,x418,x419,x4110,x4111,x4112),f465(x413,x414,x415,x412,x416,x417,x418,x419,x4110,x4111,x4112))
% 218.59/218.72 [42]~E(x421,x422)+E(f465(x423,x424,x425,x426,x421,x427,x428,x429,x4210,x4211,x4212),f465(x423,x424,x425,x426,x422,x427,x428,x429,x4210,x4211,x4212))
% 218.59/218.72 [43]~E(x431,x432)+E(f465(x433,x434,x435,x436,x437,x431,x438,x439,x4310,x4311,x4312),f465(x433,x434,x435,x436,x437,x432,x438,x439,x4310,x4311,x4312))
% 218.59/218.72 [44]~E(x441,x442)+E(f465(x443,x444,x445,x446,x447,x448,x441,x449,x4410,x4411,x4412),f465(x443,x444,x445,x446,x447,x448,x442,x449,x4410,x4411,x4412))
% 218.59/218.72 [45]~E(x451,x452)+E(f465(x453,x454,x455,x456,x457,x458,x459,x451,x4510,x4511,x4512),f465(x453,x454,x455,x456,x457,x458,x459,x452,x4510,x4511,x4512))
% 218.59/218.73 [46]~E(x461,x462)+E(f465(x463,x464,x465,x466,x467,x468,x469,x4610,x461,x4611,x4612),f465(x463,x464,x465,x466,x467,x468,x469,x4610,x462,x4611,x4612))
% 218.59/218.73 [47]~E(x471,x472)+E(f465(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x471,x4712),f465(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x472,x4712))
% 218.59/218.73 [48]~E(x481,x482)+E(f465(x483,x484,x485,x486,x487,x488,x489,x4810,x4811,x4812,x481),f465(x483,x484,x485,x486,x487,x488,x489,x4810,x4811,x4812,x482))
% 218.59/218.73 [49]~E(x491,x492)+E(f106(x491),f106(x492))
% 218.59/218.73 [50]~E(x501,x502)+E(f318(x501),f318(x502))
% 218.59/218.73 [51]~E(x511,x512)+E(f892(x511,x513),f892(x512,x513))
% 218.59/218.73 [52]~E(x521,x522)+E(f892(x523,x521),f892(x523,x522))
% 218.59/218.73 [53]~E(x531,x532)+E(f6(x531),f6(x532))
% 218.59/218.73 [54]~E(x541,x542)+E(f276(x541),f276(x542))
% 218.59/218.73 [55]~E(x551,x552)+E(f886(x551),f886(x552))
% 218.59/218.73 [56]~E(x561,x562)+E(f889(x561),f889(x562))
% 218.59/218.73 [57]~E(x571,x572)+E(f304(x571,x573),f304(x572,x573))
% 218.59/218.73 [58]~E(x581,x582)+E(f304(x583,x581),f304(x583,x582))
% 218.59/218.73 [59]~E(x591,x592)+E(f78(x591),f78(x592))
% 218.59/218.73 [60]~E(x601,x602)+E(f233(x601),f233(x602))
% 218.59/218.73 [61]~E(x611,x612)+E(f183(x611),f183(x612))
% 218.59/218.73 [62]~E(x621,x622)+E(f234(x621,x623,x624),f234(x622,x623,x624))
% 218.59/218.73 [63]~E(x631,x632)+E(f234(x633,x631,x634),f234(x633,x632,x634))
% 218.59/218.73 [64]~E(x641,x642)+E(f234(x643,x644,x641),f234(x643,x644,x642))
% 218.59/218.73 [65]~E(x651,x652)+E(f99(x651),f99(x652))
% 218.59/218.73 [66]~E(x661,x662)+E(f296(x661,x663),f296(x662,x663))
% 218.59/218.73 [67]~E(x671,x672)+E(f296(x673,x671),f296(x673,x672))
% 218.59/218.73 [68]~E(x681,x682)+E(f600(x681,x683,x684,x685,x686),f600(x682,x683,x684,x685,x686))
% 218.59/218.73 [69]~E(x691,x692)+E(f600(x693,x691,x694,x695,x696),f600(x693,x692,x694,x695,x696))
% 218.59/218.73 [70]~E(x701,x702)+E(f600(x703,x704,x701,x705,x706),f600(x703,x704,x702,x705,x706))
% 218.59/218.73 [71]~E(x711,x712)+E(f600(x713,x714,x715,x711,x716),f600(x713,x714,x715,x712,x716))
% 218.59/218.73 [72]~E(x721,x722)+E(f600(x723,x724,x725,x726,x721),f600(x723,x724,x725,x726,x722))
% 218.59/218.73 [73]~E(x731,x732)+E(f227(x731),f227(x732))
% 218.59/218.73 [74]~E(x741,x742)+E(f226(x741),f226(x742))
% 218.59/218.73 [75]~E(x751,x752)+E(f59(x751),f59(x752))
% 218.59/218.73 [76]~E(x761,x762)+E(f828(x761,x763,x764),f828(x762,x763,x764))
% 218.59/218.73 [77]~E(x771,x772)+E(f828(x773,x771,x774),f828(x773,x772,x774))
% 218.59/218.73 [78]~E(x781,x782)+E(f828(x783,x784,x781),f828(x783,x784,x782))
% 218.59/218.73 [79]~E(x791,x792)+E(f275(x791,x793),f275(x792,x793))
% 218.59/218.73 [80]~E(x801,x802)+E(f275(x803,x801),f275(x803,x802))
% 218.59/218.73 [81]~E(x811,x812)+E(f80(x811),f80(x812))
% 218.59/218.73 [82]~E(x821,x822)+E(f36(x821,x823),f36(x822,x823))
% 218.59/218.73 [83]~E(x831,x832)+E(f36(x833,x831),f36(x833,x832))
% 218.59/218.73 [84]~E(x841,x842)+E(f35(x841),f35(x842))
% 218.59/218.73 [85]~E(x851,x852)+E(f874(x851,x853),f874(x852,x853))
% 218.59/218.73 [86]~E(x861,x862)+E(f874(x863,x861),f874(x863,x862))
% 218.59/218.73 [87]~E(x871,x872)+E(f79(x871),f79(x872))
% 218.59/218.73 [88]~E(x881,x882)+E(f60(x881),f60(x882))
% 218.59/218.73 [89]~E(x891,x892)+E(f156(x891),f156(x892))
% 218.59/218.73 [90]~E(x901,x902)+E(f74(x901,x903,x904,x905,x906),f74(x902,x903,x904,x905,x906))
% 218.59/218.73 [91]~E(x911,x912)+E(f74(x913,x911,x914,x915,x916),f74(x913,x912,x914,x915,x916))
% 218.59/218.73 [92]~E(x921,x922)+E(f74(x923,x924,x921,x925,x926),f74(x923,x924,x922,x925,x926))
% 218.59/218.73 [93]~E(x931,x932)+E(f74(x933,x934,x935,x931,x936),f74(x933,x934,x935,x932,x936))
% 218.59/218.73 [94]~E(x941,x942)+E(f74(x943,x944,x945,x946,x941),f74(x943,x944,x945,x946,x942))
% 218.59/218.73 [95]~E(x951,x952)+E(f146(x951,x953),f146(x952,x953))
% 218.59/218.73 [96]~E(x961,x962)+E(f146(x963,x961),f146(x963,x962))
% 218.59/218.73 [97]~E(x971,x972)+E(f245(x971,x973),f245(x972,x973))
% 218.59/218.73 [98]~E(x981,x982)+E(f245(x983,x981),f245(x983,x982))
% 218.59/218.73 [99]~E(x991,x992)+E(f75(x991),f75(x992))
% 218.59/218.73 [100]~E(x1001,x1002)+E(f880(x1001,x1003),f880(x1002,x1003))
% 218.59/218.73 [101]~E(x1011,x1012)+E(f880(x1013,x1011),f880(x1013,x1012))
% 218.59/218.73 [102]~E(x1021,x1022)+E(f298(x1021),f298(x1022))
% 218.59/218.73 [103]~E(x1031,x1032)+E(f11(x1031,x1033),f11(x1032,x1033))
% 218.59/218.73 [104]~E(x1041,x1042)+E(f11(x1043,x1041),f11(x1043,x1042))
% 218.59/218.73 [105]~E(x1051,x1052)+E(f129(x1051),f129(x1052))
% 218.59/218.73 [106]~E(x1061,x1062)+E(f242(x1061,x1063),f242(x1062,x1063))
% 218.59/218.73 [107]~E(x1071,x1072)+E(f242(x1073,x1071),f242(x1073,x1072))
% 218.59/218.73 [108]~E(x1081,x1082)+E(f8(x1081,x1083),f8(x1082,x1083))
% 218.59/218.73 [109]~E(x1091,x1092)+E(f8(x1093,x1091),f8(x1093,x1092))
% 218.59/218.73 [110]~E(x1101,x1102)+E(f126(x1101),f126(x1102))
% 218.59/218.73 [111]~E(x1111,x1112)+E(f7(x1111),f7(x1112))
% 218.59/218.73 [112]~E(x1121,x1122)+E(f108(x1121),f108(x1122))
% 218.59/218.73 [113]~E(x1131,x1132)+E(f62(x1131,x1133),f62(x1132,x1133))
% 218.59/218.73 [114]~E(x1141,x1142)+E(f62(x1143,x1141),f62(x1143,x1142))
% 218.59/218.73 [115]~E(x1151,x1152)+E(f274(x1151,x1153,x1154),f274(x1152,x1153,x1154))
% 218.59/218.73 [116]~E(x1161,x1162)+E(f274(x1163,x1161,x1164),f274(x1163,x1162,x1164))
% 218.59/218.73 [117]~E(x1171,x1172)+E(f274(x1173,x1174,x1171),f274(x1173,x1174,x1172))
% 218.59/218.73 [118]~E(x1181,x1182)+E(f9(x1181,x1183,x1184),f9(x1182,x1183,x1184))
% 218.59/218.73 [119]~E(x1191,x1192)+E(f9(x1193,x1191,x1194),f9(x1193,x1192,x1194))
% 218.59/218.73 [120]~E(x1201,x1202)+E(f9(x1203,x1204,x1201),f9(x1203,x1204,x1202))
% 218.59/218.73 [121]~E(x1211,x1212)+E(f169(x1211,x1213,x1214),f169(x1212,x1213,x1214))
% 218.59/218.73 [122]~E(x1221,x1222)+E(f169(x1223,x1221,x1224),f169(x1223,x1222,x1224))
% 218.59/218.73 [123]~E(x1231,x1232)+E(f169(x1233,x1234,x1231),f169(x1233,x1234,x1232))
% 218.59/218.73 [124]~E(x1241,x1242)+E(f153(x1241,x1243),f153(x1242,x1243))
% 218.59/218.73 [125]~E(x1251,x1252)+E(f153(x1253,x1251),f153(x1253,x1252))
% 218.59/218.73 [126]~E(x1261,x1262)+E(f15(x1261,x1263),f15(x1262,x1263))
% 218.59/218.73 [127]~E(x1271,x1272)+E(f15(x1273,x1271),f15(x1273,x1272))
% 218.59/218.73 [128]~E(x1281,x1282)+E(f160(x1281),f160(x1282))
% 218.59/218.73 [129]~E(x1291,x1292)+E(f835(x1291,x1293,x1294),f835(x1292,x1293,x1294))
% 218.59/218.73 [130]~E(x1301,x1302)+E(f835(x1303,x1301,x1304),f835(x1303,x1302,x1304))
% 218.59/218.73 [131]~E(x1311,x1312)+E(f835(x1313,x1314,x1311),f835(x1313,x1314,x1312))
% 218.59/218.73 [132]~E(x1321,x1322)+E(f292(x1321,x1323,x1324),f292(x1322,x1323,x1324))
% 218.59/218.73 [133]~E(x1331,x1332)+E(f292(x1333,x1331,x1334),f292(x1333,x1332,x1334))
% 218.59/218.73 [134]~E(x1341,x1342)+E(f292(x1343,x1344,x1341),f292(x1343,x1344,x1342))
% 218.59/218.73 [135]~E(x1351,x1352)+E(f38(x1351,x1353),f38(x1352,x1353))
% 218.59/218.73 [136]~E(x1361,x1362)+E(f38(x1363,x1361),f38(x1363,x1362))
% 218.59/218.73 [137]~E(x1371,x1372)+E(f281(x1371,x1373),f281(x1372,x1373))
% 218.59/218.73 [138]~E(x1381,x1382)+E(f281(x1383,x1381),f281(x1383,x1382))
% 218.59/218.73 [139]~E(x1391,x1392)+E(f299(x1391,x1393,x1394),f299(x1392,x1393,x1394))
% 218.59/218.73 [140]~E(x1401,x1402)+E(f299(x1403,x1401,x1404),f299(x1403,x1402,x1404))
% 218.59/218.73 [141]~E(x1411,x1412)+E(f299(x1413,x1414,x1411),f299(x1413,x1414,x1412))
% 218.59/218.73 [142]~E(x1421,x1422)+E(f128(x1421,x1423),f128(x1422,x1423))
% 218.59/218.73 [143]~E(x1431,x1432)+E(f128(x1433,x1431),f128(x1433,x1432))
% 218.59/218.73 [144]~E(x1441,x1442)+E(f101(x1441),f101(x1442))
% 218.59/218.73 [145]~E(x1451,x1452)+E(f103(x1451),f103(x1452))
% 218.59/218.73 [146]~E(x1461,x1462)+E(f317(x1461),f317(x1462))
% 218.59/218.73 [147]~E(x1471,x1472)+E(f488(x1471,x1473,x1474,x1475,x1476),f488(x1472,x1473,x1474,x1475,x1476))
% 218.59/218.73 [148]~E(x1481,x1482)+E(f488(x1483,x1481,x1484,x1485,x1486),f488(x1483,x1482,x1484,x1485,x1486))
% 218.59/218.73 [149]~E(x1491,x1492)+E(f488(x1493,x1494,x1491,x1495,x1496),f488(x1493,x1494,x1492,x1495,x1496))
% 218.59/218.73 [150]~E(x1501,x1502)+E(f488(x1503,x1504,x1505,x1501,x1506),f488(x1503,x1504,x1505,x1502,x1506))
% 218.59/218.73 [151]~E(x1511,x1512)+E(f488(x1513,x1514,x1515,x1516,x1511),f488(x1513,x1514,x1515,x1516,x1512))
% 218.59/218.73 [152]~E(x1521,x1522)+E(f881(x1521,x1523),f881(x1522,x1523))
% 218.59/218.73 [153]~E(x1531,x1532)+E(f881(x1533,x1531),f881(x1533,x1532))
% 218.59/218.73 [154]~E(x1541,x1542)+E(f232(x1541,x1543),f232(x1542,x1543))
% 218.59/218.73 [155]~E(x1551,x1552)+E(f232(x1553,x1551),f232(x1553,x1552))
% 218.59/218.73 [156]~E(x1561,x1562)+E(f164(x1561),f164(x1562))
% 218.59/218.73 [157]~E(x1571,x1572)+E(f29(x1571,x1573),f29(x1572,x1573))
% 218.59/218.73 [158]~E(x1581,x1582)+E(f29(x1583,x1581),f29(x1583,x1582))
% 218.59/218.73 [159]~E(x1591,x1592)+E(f291(x1591,x1593),f291(x1592,x1593))
% 218.59/218.73 [160]~E(x1601,x1602)+E(f291(x1603,x1601),f291(x1603,x1602))
% 218.59/218.73 [161]~E(x1611,x1612)+E(f277(x1611,x1613),f277(x1612,x1613))
% 218.59/218.73 [162]~E(x1621,x1622)+E(f277(x1623,x1621),f277(x1623,x1622))
% 218.59/218.73 [163]~E(x1631,x1632)+E(f273(x1631,x1633),f273(x1632,x1633))
% 218.59/218.73 [164]~E(x1641,x1642)+E(f273(x1643,x1641),f273(x1643,x1642))
% 218.59/218.73 [165]~E(x1651,x1652)+E(f18(x1651,x1653),f18(x1652,x1653))
% 218.59/218.73 [166]~E(x1661,x1662)+E(f18(x1663,x1661),f18(x1663,x1662))
% 218.59/218.73 [167]~E(x1671,x1672)+E(f253(x1671),f253(x1672))
% 218.59/218.73 [168]~E(x1681,x1682)+E(f20(x1681,x1683,x1684),f20(x1682,x1683,x1684))
% 218.59/218.73 [169]~E(x1691,x1692)+E(f20(x1693,x1691,x1694),f20(x1693,x1692,x1694))
% 218.59/218.73 [170]~E(x1701,x1702)+E(f20(x1703,x1704,x1701),f20(x1703,x1704,x1702))
% 218.59/218.73 [171]~E(x1711,x1712)+E(f90(x1711),f90(x1712))
% 218.59/218.73 [172]~E(x1721,x1722)+E(f300(x1721,x1723,x1724),f300(x1722,x1723,x1724))
% 218.59/218.73 [173]~E(x1731,x1732)+E(f300(x1733,x1731,x1734),f300(x1733,x1732,x1734))
% 218.59/218.73 [174]~E(x1741,x1742)+E(f300(x1743,x1744,x1741),f300(x1743,x1744,x1742))
% 218.59/218.73 [175]~E(x1751,x1752)+E(f272(x1751),f272(x1752))
% 218.59/218.73 [176]~E(x1761,x1762)+E(f170(x1761,x1763),f170(x1762,x1763))
% 218.59/218.73 [177]~E(x1771,x1772)+E(f170(x1773,x1771),f170(x1773,x1772))
% 218.59/218.73 [178]~E(x1781,x1782)+E(f472(x1781,x1783,x1784,x1785,x1786),f472(x1782,x1783,x1784,x1785,x1786))
% 218.59/218.73 [179]~E(x1791,x1792)+E(f472(x1793,x1791,x1794,x1795,x1796),f472(x1793,x1792,x1794,x1795,x1796))
% 218.59/218.73 [180]~E(x1801,x1802)+E(f472(x1803,x1804,x1801,x1805,x1806),f472(x1803,x1804,x1802,x1805,x1806))
% 218.59/218.73 [181]~E(x1811,x1812)+E(f472(x1813,x1814,x1815,x1811,x1816),f472(x1813,x1814,x1815,x1812,x1816))
% 218.59/218.73 [182]~E(x1821,x1822)+E(f472(x1823,x1824,x1825,x1826,x1821),f472(x1823,x1824,x1825,x1826,x1822))
% 218.59/218.73 [183]~E(x1831,x1832)+E(f145(x1831,x1833),f145(x1832,x1833))
% 218.59/218.73 [184]~E(x1841,x1842)+E(f145(x1843,x1841),f145(x1843,x1842))
% 218.59/218.73 [185]~E(x1851,x1852)+E(f224(x1851,x1853,x1854),f224(x1852,x1853,x1854))
% 218.59/218.73 [186]~E(x1861,x1862)+E(f224(x1863,x1861,x1864),f224(x1863,x1862,x1864))
% 218.59/218.73 [187]~E(x1871,x1872)+E(f224(x1873,x1874,x1871),f224(x1873,x1874,x1872))
% 218.59/218.73 [188]~E(x1881,x1882)+E(f63(x1881,x1883,x1884),f63(x1882,x1883,x1884))
% 218.59/218.73 [189]~E(x1891,x1892)+E(f63(x1893,x1891,x1894),f63(x1893,x1892,x1894))
% 218.59/218.73 [190]~E(x1901,x1902)+E(f63(x1903,x1904,x1901),f63(x1903,x1904,x1902))
% 218.59/218.73 [191]~E(x1911,x1912)+E(f34(x1911),f34(x1912))
% 218.59/218.73 [192]~E(x1921,x1922)+E(f131(x1921,x1923),f131(x1922,x1923))
% 218.59/218.73 [193]~E(x1931,x1932)+E(f131(x1933,x1931),f131(x1933,x1932))
% 218.59/218.73 [194]~E(x1941,x1942)+E(f150(x1941,x1943),f150(x1942,x1943))
% 218.59/218.73 [195]~E(x1951,x1952)+E(f150(x1953,x1951),f150(x1953,x1952))
% 218.59/218.73 [196]~E(x1961,x1962)+E(f144(x1961,x1963),f144(x1962,x1963))
% 218.59/218.73 [197]~E(x1971,x1972)+E(f144(x1973,x1971),f144(x1973,x1972))
% 218.59/218.73 [198]~E(x1981,x1982)+E(f46(x1981,x1983),f46(x1982,x1983))
% 218.59/218.73 [199]~E(x1991,x1992)+E(f46(x1993,x1991),f46(x1993,x1992))
% 218.59/218.73 [200]~E(x2001,x2002)+E(f235(x2001),f235(x2002))
% 218.59/218.73 [201]~E(x2011,x2012)+E(f758(x2011,x2013,x2014,x2015),f758(x2012,x2013,x2014,x2015))
% 218.59/218.73 [202]~E(x2021,x2022)+E(f758(x2023,x2021,x2024,x2025),f758(x2023,x2022,x2024,x2025))
% 218.59/218.73 [203]~E(x2031,x2032)+E(f758(x2033,x2034,x2031,x2035),f758(x2033,x2034,x2032,x2035))
% 218.59/218.73 [204]~E(x2041,x2042)+E(f758(x2043,x2044,x2045,x2041),f758(x2043,x2044,x2045,x2042))
% 218.59/218.73 [205]~E(x2051,x2052)+E(f14(x2051,x2053,x2054),f14(x2052,x2053,x2054))
% 218.59/218.73 [206]~E(x2061,x2062)+E(f14(x2063,x2061,x2064),f14(x2063,x2062,x2064))
% 218.59/218.73 [207]~E(x2071,x2072)+E(f14(x2073,x2074,x2071),f14(x2073,x2074,x2072))
% 218.59/218.73 [208]~E(x2081,x2082)+E(f134(x2081,x2083,x2084,x2085),f134(x2082,x2083,x2084,x2085))
% 218.59/218.73 [209]~E(x2091,x2092)+E(f134(x2093,x2091,x2094,x2095),f134(x2093,x2092,x2094,x2095))
% 218.59/218.73 [210]~E(x2101,x2102)+E(f134(x2103,x2104,x2101,x2105),f134(x2103,x2104,x2102,x2105))
% 218.59/218.73 [211]~E(x2111,x2112)+E(f134(x2113,x2114,x2115,x2111),f134(x2113,x2114,x2115,x2112))
% 218.59/218.73 [212]~E(x2121,x2122)+E(f450(x2121,x2123,x2124,x2125,x2126),f450(x2122,x2123,x2124,x2125,x2126))
% 218.59/218.73 [213]~E(x2131,x2132)+E(f450(x2133,x2131,x2134,x2135,x2136),f450(x2133,x2132,x2134,x2135,x2136))
% 218.59/218.73 [214]~E(x2141,x2142)+E(f450(x2143,x2144,x2141,x2145,x2146),f450(x2143,x2144,x2142,x2145,x2146))
% 218.59/218.73 [215]~E(x2151,x2152)+E(f450(x2153,x2154,x2155,x2151,x2156),f450(x2153,x2154,x2155,x2152,x2156))
% 218.59/218.73 [216]~E(x2161,x2162)+E(f450(x2163,x2164,x2165,x2166,x2161),f450(x2163,x2164,x2165,x2166,x2162))
% 218.59/218.73 [217]~E(x2171,x2172)+E(f217(x2171,x2173,x2174,x2175,x2176),f217(x2172,x2173,x2174,x2175,x2176))
% 218.59/218.73 [218]~E(x2181,x2182)+E(f217(x2183,x2181,x2184,x2185,x2186),f217(x2183,x2182,x2184,x2185,x2186))
% 218.59/218.73 [219]~E(x2191,x2192)+E(f217(x2193,x2194,x2191,x2195,x2196),f217(x2193,x2194,x2192,x2195,x2196))
% 218.59/218.73 [220]~E(x2201,x2202)+E(f217(x2203,x2204,x2205,x2201,x2206),f217(x2203,x2204,x2205,x2202,x2206))
% 218.59/218.73 [221]~E(x2211,x2212)+E(f217(x2213,x2214,x2215,x2216,x2211),f217(x2213,x2214,x2215,x2216,x2212))
% 218.59/218.73 [222]~E(x2221,x2222)+E(f152(x2221,x2223),f152(x2222,x2223))
% 218.59/218.73 [223]~E(x2231,x2232)+E(f152(x2233,x2231),f152(x2233,x2232))
% 218.59/218.73 [224]~E(x2241,x2242)+E(f151(x2241,x2243),f151(x2242,x2243))
% 218.59/218.73 [225]~E(x2251,x2252)+E(f151(x2253,x2251),f151(x2253,x2252))
% 218.59/218.73 [226]~E(x2261,x2262)+E(f39(x2261,x2263),f39(x2262,x2263))
% 218.59/218.73 [227]~E(x2271,x2272)+E(f39(x2273,x2271),f39(x2273,x2272))
% 218.59/218.73 [228]~E(x2281,x2282)+E(f84(x2281,x2283),f84(x2282,x2283))
% 218.59/218.73 [229]~E(x2291,x2292)+E(f84(x2293,x2291),f84(x2293,x2292))
% 218.59/218.73 [230]~E(x2301,x2302)+E(f55(x2301),f55(x2302))
% 218.59/218.73 [231]~E(x2311,x2312)+E(f44(x2311,x2313,x2314),f44(x2312,x2313,x2314))
% 218.59/218.73 [232]~E(x2321,x2322)+E(f44(x2323,x2321,x2324),f44(x2323,x2322,x2324))
% 218.59/218.73 [233]~E(x2331,x2332)+E(f44(x2333,x2334,x2331),f44(x2333,x2334,x2332))
% 218.59/218.73 [234]~E(x2341,x2342)+E(f254(x2341,x2343),f254(x2342,x2343))
% 218.59/218.73 [235]~E(x2351,x2352)+E(f254(x2353,x2351),f254(x2353,x2352))
% 218.59/218.73 [236]~E(x2361,x2362)+E(f830(x2361,x2363,x2364),f830(x2362,x2363,x2364))
% 218.59/218.73 [237]~E(x2371,x2372)+E(f830(x2373,x2371,x2374),f830(x2373,x2372,x2374))
% 218.59/218.73 [238]~E(x2381,x2382)+E(f830(x2383,x2384,x2381),f830(x2383,x2384,x2382))
% 218.59/218.73 [239]~E(x2391,x2392)+E(f818(x2391),f818(x2392))
% 218.59/218.73 [240]~E(x2401,x2402)+E(f109(x2401,x2403),f109(x2402,x2403))
% 218.59/218.73 [241]~E(x2411,x2412)+E(f109(x2413,x2411),f109(x2413,x2412))
% 218.59/218.73 [242]~E(x2421,x2422)+E(f792(x2421,x2423,x2424,x2425),f792(x2422,x2423,x2424,x2425))
% 218.59/218.73 [243]~E(x2431,x2432)+E(f792(x2433,x2431,x2434,x2435),f792(x2433,x2432,x2434,x2435))
% 218.59/218.73 [244]~E(x2441,x2442)+E(f792(x2443,x2444,x2441,x2445),f792(x2443,x2444,x2442,x2445))
% 218.59/218.73 [245]~E(x2451,x2452)+E(f792(x2453,x2454,x2455,x2451),f792(x2453,x2454,x2455,x2452))
% 218.59/218.73 [246]~E(x2461,x2462)+E(f247(x2461,x2463),f247(x2462,x2463))
% 218.59/218.73 [247]~E(x2471,x2472)+E(f247(x2473,x2471),f247(x2473,x2472))
% 218.59/218.73 [248]~E(x2481,x2482)+E(f570(x2481,x2483,x2484,x2485,x2486,x2487,x2488,x2489),f570(x2482,x2483,x2484,x2485,x2486,x2487,x2488,x2489))
% 218.59/218.73 [249]~E(x2491,x2492)+E(f570(x2493,x2491,x2494,x2495,x2496,x2497,x2498,x2499),f570(x2493,x2492,x2494,x2495,x2496,x2497,x2498,x2499))
% 218.59/218.73 [250]~E(x2501,x2502)+E(f570(x2503,x2504,x2501,x2505,x2506,x2507,x2508,x2509),f570(x2503,x2504,x2502,x2505,x2506,x2507,x2508,x2509))
% 218.59/218.73 [251]~E(x2511,x2512)+E(f570(x2513,x2514,x2515,x2511,x2516,x2517,x2518,x2519),f570(x2513,x2514,x2515,x2512,x2516,x2517,x2518,x2519))
% 218.59/218.73 [252]~E(x2521,x2522)+E(f570(x2523,x2524,x2525,x2526,x2521,x2527,x2528,x2529),f570(x2523,x2524,x2525,x2526,x2522,x2527,x2528,x2529))
% 218.59/218.73 [253]~E(x2531,x2532)+E(f570(x2533,x2534,x2535,x2536,x2537,x2531,x2538,x2539),f570(x2533,x2534,x2535,x2536,x2537,x2532,x2538,x2539))
% 218.59/218.73 [254]~E(x2541,x2542)+E(f570(x2543,x2544,x2545,x2546,x2547,x2548,x2541,x2549),f570(x2543,x2544,x2545,x2546,x2547,x2548,x2542,x2549))
% 218.59/218.73 [255]~E(x2551,x2552)+E(f570(x2553,x2554,x2555,x2556,x2557,x2558,x2559,x2551),f570(x2553,x2554,x2555,x2556,x2557,x2558,x2559,x2552))
% 218.59/218.73 [256]~E(x2561,x2562)+E(f159(x2561),f159(x2562))
% 218.59/218.73 [257]~E(x2571,x2572)+E(f142(x2571,x2573,x2574,x2575),f142(x2572,x2573,x2574,x2575))
% 218.59/218.73 [258]~E(x2581,x2582)+E(f142(x2583,x2581,x2584,x2585),f142(x2583,x2582,x2584,x2585))
% 218.59/218.73 [259]~E(x2591,x2592)+E(f142(x2593,x2594,x2591,x2595),f142(x2593,x2594,x2592,x2595))
% 218.59/218.73 [260]~E(x2601,x2602)+E(f142(x2603,x2604,x2605,x2601),f142(x2603,x2604,x2605,x2602))
% 218.59/218.73 [261]~E(x2611,x2612)+E(f435(x2611,x2613),f435(x2612,x2613))
% 218.59/218.73 [262]~E(x2621,x2622)+E(f435(x2623,x2621),f435(x2623,x2622))
% 218.59/218.73 [263]~E(x2631,x2632)+E(f817(x2631),f817(x2632))
% 218.59/218.73 [264]~E(x2641,x2642)+E(f64(x2641,x2643,x2644),f64(x2642,x2643,x2644))
% 218.59/218.73 [265]~E(x2651,x2652)+E(f64(x2653,x2651,x2654),f64(x2653,x2652,x2654))
% 218.59/218.73 [266]~E(x2661,x2662)+E(f64(x2663,x2664,x2661),f64(x2663,x2664,x2662))
% 218.59/218.73 [267]~E(x2671,x2672)+E(f140(x2671,x2673,x2674),f140(x2672,x2673,x2674))
% 218.59/218.73 [268]~E(x2681,x2682)+E(f140(x2683,x2681,x2684),f140(x2683,x2682,x2684))
% 218.59/218.73 [269]~E(x2691,x2692)+E(f140(x2693,x2694,x2691),f140(x2693,x2694,x2692))
% 218.59/218.73 [270]~E(x2701,x2702)+E(f185(x2701),f185(x2702))
% 218.59/218.73 [271]~E(x2711,x2712)+E(f143(x2711),f143(x2712))
% 218.59/218.73 [272]~E(x2721,x2722)+E(f110(x2721),f110(x2722))
% 218.59/218.73 [273]~E(x2731,x2732)+E(f249(x2731,x2733,x2734,x2735,x2736,x2737),f249(x2732,x2733,x2734,x2735,x2736,x2737))
% 218.59/218.73 [274]~E(x2741,x2742)+E(f249(x2743,x2741,x2744,x2745,x2746,x2747),f249(x2743,x2742,x2744,x2745,x2746,x2747))
% 218.59/218.73 [275]~E(x2751,x2752)+E(f249(x2753,x2754,x2751,x2755,x2756,x2757),f249(x2753,x2754,x2752,x2755,x2756,x2757))
% 218.59/218.73 [276]~E(x2761,x2762)+E(f249(x2763,x2764,x2765,x2761,x2766,x2767),f249(x2763,x2764,x2765,x2762,x2766,x2767))
% 218.59/218.73 [277]~E(x2771,x2772)+E(f249(x2773,x2774,x2775,x2776,x2771,x2777),f249(x2773,x2774,x2775,x2776,x2772,x2777))
% 218.59/218.73 [278]~E(x2781,x2782)+E(f249(x2783,x2784,x2785,x2786,x2787,x2781),f249(x2783,x2784,x2785,x2786,x2787,x2782))
% 218.59/218.73 [279]~E(x2791,x2792)+E(f890(x2791,x2793),f890(x2792,x2793))
% 218.59/218.73 [280]~E(x2801,x2802)+E(f890(x2803,x2801),f890(x2803,x2802))
% 218.59/218.73 [281]~E(x2811,x2812)+E(f893(x2811,x2813),f893(x2812,x2813))
% 218.59/218.73 [282]~E(x2821,x2822)+E(f893(x2823,x2821),f893(x2823,x2822))
% 218.59/218.73 [283]~E(x2831,x2832)+E(f347(x2831,x2833,x2834,x2835),f347(x2832,x2833,x2834,x2835))
% 218.59/218.73 [284]~E(x2841,x2842)+E(f347(x2843,x2841,x2844,x2845),f347(x2843,x2842,x2844,x2845))
% 218.59/218.73 [285]~E(x2851,x2852)+E(f347(x2853,x2854,x2851,x2855),f347(x2853,x2854,x2852,x2855))
% 218.59/218.73 [286]~E(x2861,x2862)+E(f347(x2863,x2864,x2865,x2861),f347(x2863,x2864,x2865,x2862))
% 218.59/218.73 [287]~E(x2871,x2872)+E(f709(x2871,x2873,x2874,x2875),f709(x2872,x2873,x2874,x2875))
% 218.59/218.73 [288]~E(x2881,x2882)+E(f709(x2883,x2881,x2884,x2885),f709(x2883,x2882,x2884,x2885))
% 218.59/218.73 [289]~E(x2891,x2892)+E(f709(x2893,x2894,x2891,x2895),f709(x2893,x2894,x2892,x2895))
% 218.59/218.73 [290]~E(x2901,x2902)+E(f709(x2903,x2904,x2905,x2901),f709(x2903,x2904,x2905,x2902))
% 218.59/218.73 [291]~E(x2911,x2912)+E(f76(x2911,x2913,x2914,x2915),f76(x2912,x2913,x2914,x2915))
% 218.59/218.73 [292]~E(x2921,x2922)+E(f76(x2923,x2921,x2924,x2925),f76(x2923,x2922,x2924,x2925))
% 218.59/218.73 [293]~E(x2931,x2932)+E(f76(x2933,x2934,x2931,x2935),f76(x2933,x2934,x2932,x2935))
% 218.59/218.73 [294]~E(x2941,x2942)+E(f76(x2943,x2944,x2945,x2941),f76(x2943,x2944,x2945,x2942))
% 218.59/218.73 [295]~E(x2951,x2952)+E(f167(x2951),f167(x2952))
% 218.59/218.73 [296]~E(x2961,x2962)+E(f163(x2961),f163(x2962))
% 218.59/218.73 [297]~E(x2971,x2972)+E(f48(x2971,x2973),f48(x2972,x2973))
% 218.59/218.73 [298]~E(x2981,x2982)+E(f48(x2983,x2981),f48(x2983,x2982))
% 218.59/218.73 [299]~E(x2991,x2992)+E(f137(x2991,x2993),f137(x2992,x2993))
% 218.59/218.73 [300]~E(x3001,x3002)+E(f137(x3003,x3001),f137(x3003,x3002))
% 218.59/218.73 [301]~E(x3011,x3012)+E(f175(x3011,x3013),f175(x3012,x3013))
% 218.59/218.73 [302]~E(x3021,x3022)+E(f175(x3023,x3021),f175(x3023,x3022))
% 218.59/218.73 [303]~E(x3031,x3032)+E(f280(x3031),f280(x3032))
% 218.59/218.73 [304]~E(x3041,x3042)+E(f189(x3041,x3043,x3044,x3045),f189(x3042,x3043,x3044,x3045))
% 218.59/218.73 [305]~E(x3051,x3052)+E(f189(x3053,x3051,x3054,x3055),f189(x3053,x3052,x3054,x3055))
% 218.59/218.73 [306]~E(x3061,x3062)+E(f189(x3063,x3064,x3061,x3065),f189(x3063,x3064,x3062,x3065))
% 218.59/218.73 [307]~E(x3071,x3072)+E(f189(x3073,x3074,x3075,x3071),f189(x3073,x3074,x3075,x3072))
% 218.59/218.73 [308]~E(x3081,x3082)+E(f105(x3081),f105(x3082))
% 218.59/218.73 [309]~E(x3091,x3092)+E(f26(x3091,x3093,x3094),f26(x3092,x3093,x3094))
% 218.59/218.73 [310]~E(x3101,x3102)+E(f26(x3103,x3101,x3104),f26(x3103,x3102,x3104))
% 218.59/218.73 [311]~E(x3111,x3112)+E(f26(x3113,x3114,x3111),f26(x3113,x3114,x3112))
% 218.59/218.73 [312]~E(x3121,x3122)+E(f297(x3121),f297(x3122))
% 218.59/218.73 [313]~E(x3131,x3132)+E(f432(x3131,x3133,x3134),f432(x3132,x3133,x3134))
% 218.59/218.73 [314]~E(x3141,x3142)+E(f432(x3143,x3141,x3144),f432(x3143,x3142,x3144))
% 218.59/218.73 [315]~E(x3151,x3152)+E(f432(x3153,x3154,x3151),f432(x3153,x3154,x3152))
% 218.59/218.73 [316]~E(x3161,x3162)+E(f302(x3161,x3163,x3164,x3165),f302(x3162,x3163,x3164,x3165))
% 218.59/218.73 [317]~E(x3171,x3172)+E(f302(x3173,x3171,x3174,x3175),f302(x3173,x3172,x3174,x3175))
% 218.59/218.73 [318]~E(x3181,x3182)+E(f302(x3183,x3184,x3181,x3185),f302(x3183,x3184,x3182,x3185))
% 218.59/218.73 [319]~E(x3191,x3192)+E(f302(x3193,x3194,x3195,x3191),f302(x3193,x3194,x3195,x3192))
% 218.59/218.73 [320]~E(x3201,x3202)+E(f86(x3201),f86(x3202))
% 218.59/218.73 [321]~E(x3211,x3212)+E(f47(x3211,x3213),f47(x3212,x3213))
% 218.59/218.73 [322]~E(x3221,x3222)+E(f47(x3223,x3221),f47(x3223,x3222))
% 218.59/218.73 [323]~E(x3231,x3232)+E(f307(x3231,x3233),f307(x3232,x3233))
% 218.59/218.73 [324]~E(x3241,x3242)+E(f307(x3243,x3241),f307(x3243,x3242))
% 218.59/218.73 [325]~E(x3251,x3252)+E(f120(x3251,x3253,x3254),f120(x3252,x3253,x3254))
% 218.59/218.73 [326]~E(x3261,x3262)+E(f120(x3263,x3261,x3264),f120(x3263,x3262,x3264))
% 218.59/218.73 [327]~E(x3271,x3272)+E(f120(x3273,x3274,x3271),f120(x3273,x3274,x3272))
% 218.59/218.73 [328]~E(x3281,x3282)+E(f309(x3281,x3283),f309(x3282,x3283))
% 218.59/218.73 [329]~E(x3291,x3292)+E(f309(x3293,x3291),f309(x3293,x3292))
% 218.59/218.73 [330]~E(x3301,x3302)+E(f789(x3301,x3303,x3304,x3305,x3306),f789(x3302,x3303,x3304,x3305,x3306))
% 218.59/218.73 [331]~E(x3311,x3312)+E(f789(x3313,x3311,x3314,x3315,x3316),f789(x3313,x3312,x3314,x3315,x3316))
% 218.59/218.73 [332]~E(x3321,x3322)+E(f789(x3323,x3324,x3321,x3325,x3326),f789(x3323,x3324,x3322,x3325,x3326))
% 218.59/218.73 [333]~E(x3331,x3332)+E(f789(x3333,x3334,x3335,x3331,x3336),f789(x3333,x3334,x3335,x3332,x3336))
% 218.59/218.73 [334]~E(x3341,x3342)+E(f789(x3343,x3344,x3345,x3346,x3341),f789(x3343,x3344,x3345,x3346,x3342))
% 218.59/218.73 [335]~E(x3351,x3352)+E(f794(x3351,x3353,x3354,x3355),f794(x3352,x3353,x3354,x3355))
% 218.59/218.73 [336]~E(x3361,x3362)+E(f794(x3363,x3361,x3364,x3365),f794(x3363,x3362,x3364,x3365))
% 218.59/218.73 [337]~E(x3371,x3372)+E(f794(x3373,x3374,x3371,x3375),f794(x3373,x3374,x3372,x3375))
% 218.59/218.73 [338]~E(x3381,x3382)+E(f794(x3383,x3384,x3385,x3381),f794(x3383,x3384,x3385,x3382))
% 218.59/218.73 [339]~E(x3391,x3392)+E(f271(x3391),f271(x3392))
% 218.59/218.73 [340]~E(x3401,x3402)+E(f401(x3401,x3403,x3404,x3405),f401(x3402,x3403,x3404,x3405))
% 218.59/218.73 [341]~E(x3411,x3412)+E(f401(x3413,x3411,x3414,x3415),f401(x3413,x3412,x3414,x3415))
% 218.59/218.73 [342]~E(x3421,x3422)+E(f401(x3423,x3424,x3421,x3425),f401(x3423,x3424,x3422,x3425))
% 218.59/218.73 [343]~E(x3431,x3432)+E(f401(x3433,x3434,x3435,x3431),f401(x3433,x3434,x3435,x3432))
% 218.59/218.73 [344]~E(x3441,x3442)+E(f587(x3441,x3443,x3444,x3445,x3446,x3447,x3448,x3449),f587(x3442,x3443,x3444,x3445,x3446,x3447,x3448,x3449))
% 218.59/218.73 [345]~E(x3451,x3452)+E(f587(x3453,x3451,x3454,x3455,x3456,x3457,x3458,x3459),f587(x3453,x3452,x3454,x3455,x3456,x3457,x3458,x3459))
% 218.59/218.73 [346]~E(x3461,x3462)+E(f587(x3463,x3464,x3461,x3465,x3466,x3467,x3468,x3469),f587(x3463,x3464,x3462,x3465,x3466,x3467,x3468,x3469))
% 218.59/218.73 [347]~E(x3471,x3472)+E(f587(x3473,x3474,x3475,x3471,x3476,x3477,x3478,x3479),f587(x3473,x3474,x3475,x3472,x3476,x3477,x3478,x3479))
% 218.59/218.73 [348]~E(x3481,x3482)+E(f587(x3483,x3484,x3485,x3486,x3481,x3487,x3488,x3489),f587(x3483,x3484,x3485,x3486,x3482,x3487,x3488,x3489))
% 218.59/218.73 [349]~E(x3491,x3492)+E(f587(x3493,x3494,x3495,x3496,x3497,x3491,x3498,x3499),f587(x3493,x3494,x3495,x3496,x3497,x3492,x3498,x3499))
% 218.59/218.73 [350]~E(x3501,x3502)+E(f587(x3503,x3504,x3505,x3506,x3507,x3508,x3501,x3509),f587(x3503,x3504,x3505,x3506,x3507,x3508,x3502,x3509))
% 218.59/218.73 [351]~E(x3511,x3512)+E(f587(x3513,x3514,x3515,x3516,x3517,x3518,x3519,x3511),f587(x3513,x3514,x3515,x3516,x3517,x3518,x3519,x3512))
% 218.59/218.73 [352]~E(x3521,x3522)+E(f482(x3521,x3523,x3524,x3525),f482(x3522,x3523,x3524,x3525))
% 218.59/218.73 [353]~E(x3531,x3532)+E(f482(x3533,x3531,x3534,x3535),f482(x3533,x3532,x3534,x3535))
% 218.59/218.73 [354]~E(x3541,x3542)+E(f482(x3543,x3544,x3541,x3545),f482(x3543,x3544,x3542,x3545))
% 218.59/218.73 [355]~E(x3551,x3552)+E(f482(x3553,x3554,x3555,x3551),f482(x3553,x3554,x3555,x3552))
% 218.59/218.73 [356]~E(x3561,x3562)+E(f171(x3561,x3563),f171(x3562,x3563))
% 218.59/218.73 [357]~E(x3571,x3572)+E(f171(x3573,x3571),f171(x3573,x3572))
% 218.59/218.73 [358]~E(x3581,x3582)+E(f832(x3581,x3583,x3584),f832(x3582,x3583,x3584))
% 218.59/218.73 [359]~E(x3591,x3592)+E(f832(x3593,x3591,x3594),f832(x3593,x3592,x3594))
% 218.59/218.73 [360]~E(x3601,x3602)+E(f832(x3603,x3604,x3601),f832(x3603,x3604,x3602))
% 218.59/218.73 [361]~E(x3611,x3612)+E(f133(x3611),f133(x3612))
% 218.59/218.73 [362]~E(x3621,x3622)+E(f161(x3621,x3623,x3624),f161(x3622,x3623,x3624))
% 218.59/218.73 [363]~E(x3631,x3632)+E(f161(x3633,x3631,x3634),f161(x3633,x3632,x3634))
% 218.59/218.73 [364]~E(x3641,x3642)+E(f161(x3643,x3644,x3641),f161(x3643,x3644,x3642))
% 218.59/218.73 [365]~E(x3651,x3652)+E(f630(x3651,x3653,x3654),f630(x3652,x3653,x3654))
% 218.59/218.73 [366]~E(x3661,x3662)+E(f630(x3663,x3661,x3664),f630(x3663,x3662,x3664))
% 218.59/218.73 [367]~E(x3671,x3672)+E(f630(x3673,x3674,x3671),f630(x3673,x3674,x3672))
% 218.59/218.73 [368]~E(x3681,x3682)+E(f873(x3681,x3683,x3684,x3685,x3686),f873(x3682,x3683,x3684,x3685,x3686))
% 218.59/218.73 [369]~E(x3691,x3692)+E(f873(x3693,x3691,x3694,x3695,x3696),f873(x3693,x3692,x3694,x3695,x3696))
% 218.59/218.73 [370]~E(x3701,x3702)+E(f873(x3703,x3704,x3701,x3705,x3706),f873(x3703,x3704,x3702,x3705,x3706))
% 218.59/218.73 [371]~E(x3711,x3712)+E(f873(x3713,x3714,x3715,x3711,x3716),f873(x3713,x3714,x3715,x3712,x3716))
% 218.59/218.73 [372]~E(x3721,x3722)+E(f873(x3723,x3724,x3725,x3726,x3721),f873(x3723,x3724,x3725,x3726,x3722))
% 218.59/218.73 [373]~E(x3731,x3732)+E(f173(x3731,x3733),f173(x3732,x3733))
% 218.59/218.73 [374]~E(x3741,x3742)+E(f173(x3743,x3741),f173(x3743,x3742))
% 218.59/218.73 [375]~E(x3751,x3752)+E(f536(x3751,x3753,x3754,x3755,x3756,x3757),f536(x3752,x3753,x3754,x3755,x3756,x3757))
% 218.59/218.73 [376]~E(x3761,x3762)+E(f536(x3763,x3761,x3764,x3765,x3766,x3767),f536(x3763,x3762,x3764,x3765,x3766,x3767))
% 218.59/218.73 [377]~E(x3771,x3772)+E(f536(x3773,x3774,x3771,x3775,x3776,x3777),f536(x3773,x3774,x3772,x3775,x3776,x3777))
% 218.59/218.73 [378]~E(x3781,x3782)+E(f536(x3783,x3784,x3785,x3781,x3786,x3787),f536(x3783,x3784,x3785,x3782,x3786,x3787))
% 218.59/218.73 [379]~E(x3791,x3792)+E(f536(x3793,x3794,x3795,x3796,x3791,x3797),f536(x3793,x3794,x3795,x3796,x3792,x3797))
% 218.59/218.73 [380]~E(x3801,x3802)+E(f536(x3803,x3804,x3805,x3806,x3807,x3801),f536(x3803,x3804,x3805,x3806,x3807,x3802))
% 218.59/218.73 [381]~E(x3811,x3812)+E(f132(x3811,x3813,x3814),f132(x3812,x3813,x3814))
% 218.59/218.73 [382]~E(x3821,x3822)+E(f132(x3823,x3821,x3824),f132(x3823,x3822,x3824))
% 218.59/218.73 [383]~E(x3831,x3832)+E(f132(x3833,x3834,x3831),f132(x3833,x3834,x3832))
% 218.59/218.73 [384]~E(x3841,x3842)+E(f149(x3841,x3843),f149(x3842,x3843))
% 218.59/218.73 [385]~E(x3851,x3852)+E(f149(x3853,x3851),f149(x3853,x3852))
% 218.59/218.73 [386]~E(x3861,x3862)+E(f72(x3861,x3863,x3864,x3865),f72(x3862,x3863,x3864,x3865))
% 218.59/218.73 [387]~E(x3871,x3872)+E(f72(x3873,x3871,x3874,x3875),f72(x3873,x3872,x3874,x3875))
% 218.59/218.73 [388]~E(x3881,x3882)+E(f72(x3883,x3884,x3881,x3885),f72(x3883,x3884,x3882,x3885))
% 218.59/218.73 [389]~E(x3891,x3892)+E(f72(x3893,x3894,x3895,x3891),f72(x3893,x3894,x3895,x3892))
% 218.59/218.73 [390]~E(x3901,x3902)+E(f248(x3901,x3903,x3904),f248(x3902,x3903,x3904))
% 218.59/218.73 [391]~E(x3911,x3912)+E(f248(x3913,x3911,x3914),f248(x3913,x3912,x3914))
% 218.59/218.73 [392]~E(x3921,x3922)+E(f248(x3923,x3924,x3921),f248(x3923,x3924,x3922))
% 218.59/218.73 [393]~E(x3931,x3932)+E(f89(x3931,x3933),f89(x3932,x3933))
% 218.59/218.73 [394]~E(x3941,x3942)+E(f89(x3943,x3941),f89(x3943,x3942))
% 218.59/218.73 [395]~E(x3951,x3952)+E(f196(x3951,x3953),f196(x3952,x3953))
% 218.59/218.73 [396]~E(x3961,x3962)+E(f196(x3963,x3961),f196(x3963,x3962))
% 218.59/218.73 [397]~E(x3971,x3972)+E(f614(x3971,x3973,x3974,x3975,x3976),f614(x3972,x3973,x3974,x3975,x3976))
% 218.59/218.73 [398]~E(x3981,x3982)+E(f614(x3983,x3981,x3984,x3985,x3986),f614(x3983,x3982,x3984,x3985,x3986))
% 218.59/218.73 [399]~E(x3991,x3992)+E(f614(x3993,x3994,x3991,x3995,x3996),f614(x3993,x3994,x3992,x3995,x3996))
% 218.59/218.73 [400]~E(x4001,x4002)+E(f614(x4003,x4004,x4005,x4001,x4006),f614(x4003,x4004,x4005,x4002,x4006))
% 218.59/218.73 [401]~E(x4011,x4012)+E(f614(x4013,x4014,x4015,x4016,x4011),f614(x4013,x4014,x4015,x4016,x4012))
% 218.59/218.73 [402]~E(x4021,x4022)+E(f840(x4021,x4023,x4024,x4025),f840(x4022,x4023,x4024,x4025))
% 218.59/218.73 [403]~E(x4031,x4032)+E(f840(x4033,x4031,x4034,x4035),f840(x4033,x4032,x4034,x4035))
% 218.59/218.73 [404]~E(x4041,x4042)+E(f840(x4043,x4044,x4041,x4045),f840(x4043,x4044,x4042,x4045))
% 218.59/218.73 [405]~E(x4051,x4052)+E(f840(x4053,x4054,x4055,x4051),f840(x4053,x4054,x4055,x4052))
% 218.59/218.73 [406]~E(x4061,x4062)+E(f833(x4061,x4063,x4064),f833(x4062,x4063,x4064))
% 218.59/218.73 [407]~E(x4071,x4072)+E(f833(x4073,x4071,x4074),f833(x4073,x4072,x4074))
% 218.59/218.73 [408]~E(x4081,x4082)+E(f833(x4083,x4084,x4081),f833(x4083,x4084,x4082))
% 218.59/218.73 [409]~E(x4091,x4092)+E(f206(x4091),f206(x4092))
% 218.59/218.73 [410]~E(x4101,x4102)+E(f487(x4101,x4103,x4104),f487(x4102,x4103,x4104))
% 218.59/218.73 [411]~E(x4111,x4112)+E(f487(x4113,x4111,x4114),f487(x4113,x4112,x4114))
% 218.59/218.73 [412]~E(x4121,x4122)+E(f487(x4123,x4124,x4121),f487(x4123,x4124,x4122))
% 218.59/218.73 [413]~E(x4131,x4132)+E(f305(x4131,x4133),f305(x4132,x4133))
% 218.59/218.73 [414]~E(x4141,x4142)+E(f305(x4143,x4141),f305(x4143,x4142))
% 218.59/218.73 [415]~E(x4151,x4152)+E(f16(x4151,x4153),f16(x4152,x4153))
% 218.59/218.73 [416]~E(x4161,x4162)+E(f16(x4163,x4161),f16(x4163,x4162))
% 218.59/218.73 [417]~E(x4171,x4172)+E(f114(x4171),f114(x4172))
% 218.59/218.73 [418]~E(x4181,x4182)+E(f327(x4181,x4183,x4184,x4185),f327(x4182,x4183,x4184,x4185))
% 218.59/218.73 [419]~E(x4191,x4192)+E(f327(x4193,x4191,x4194,x4195),f327(x4193,x4192,x4194,x4195))
% 218.59/218.73 [420]~E(x4201,x4202)+E(f327(x4203,x4204,x4201,x4205),f327(x4203,x4204,x4202,x4205))
% 218.59/218.73 [421]~E(x4211,x4212)+E(f327(x4213,x4214,x4215,x4211),f327(x4213,x4214,x4215,x4212))
% 218.59/218.73 [422]~E(x4221,x4222)+E(f130(x4221),f130(x4222))
% 218.59/218.73 [423]~E(x4231,x4232)+E(f136(x4231,x4233),f136(x4232,x4233))
% 218.59/218.73 [424]~E(x4241,x4242)+E(f136(x4243,x4241),f136(x4243,x4242))
% 218.59/218.73 [425]~E(x4251,x4252)+E(f199(x4251,x4253,x4254,x4255),f199(x4252,x4253,x4254,x4255))
% 218.59/218.73 [426]~E(x4261,x4262)+E(f199(x4263,x4261,x4264,x4265),f199(x4263,x4262,x4264,x4265))
% 218.59/218.73 [427]~E(x4271,x4272)+E(f199(x4273,x4274,x4271,x4275),f199(x4273,x4274,x4272,x4275))
% 218.59/218.73 [428]~E(x4281,x4282)+E(f199(x4283,x4284,x4285,x4281),f199(x4283,x4284,x4285,x4282))
% 218.59/218.73 [429]~E(x4291,x4292)+E(f157(x4291),f157(x4292))
% 218.59/218.73 [430]~E(x4301,x4302)+E(f255(x4301,x4303),f255(x4302,x4303))
% 218.59/218.73 [431]~E(x4311,x4312)+E(f255(x4313,x4311),f255(x4313,x4312))
% 218.59/218.73 [432]~E(x4321,x4322)+E(f278(x4321,x4323,x4324),f278(x4322,x4323,x4324))
% 218.59/218.73 [433]~E(x4331,x4332)+E(f278(x4333,x4331,x4334),f278(x4333,x4332,x4334))
% 218.59/218.73 [434]~E(x4341,x4342)+E(f278(x4343,x4344,x4341),f278(x4343,x4344,x4342))
% 218.59/218.73 [435]~E(x4351,x4352)+E(f753(x4351,x4353,x4354),f753(x4352,x4353,x4354))
% 218.59/218.73 [436]~E(x4361,x4362)+E(f753(x4363,x4361,x4364),f753(x4363,x4362,x4364))
% 218.59/218.73 [437]~E(x4371,x4372)+E(f753(x4373,x4374,x4371),f753(x4373,x4374,x4372))
% 218.59/218.73 [438]~E(x4381,x4382)+E(f73(x4381,x4383),f73(x4382,x4383))
% 218.59/218.73 [439]~E(x4391,x4392)+E(f73(x4393,x4391),f73(x4393,x4392))
% 218.59/218.73 [440]~E(x4401,x4402)+E(f236(x4401,x4403,x4404),f236(x4402,x4403,x4404))
% 218.59/218.73 [441]~E(x4411,x4412)+E(f236(x4413,x4411,x4414),f236(x4413,x4412,x4414))
% 218.59/218.73 [442]~E(x4421,x4422)+E(f236(x4423,x4424,x4421),f236(x4423,x4424,x4422))
% 218.59/218.73 [443]~E(x4431,x4432)+E(f748(x4431,x4433),f748(x4432,x4433))
% 218.59/218.73 [444]~E(x4441,x4442)+E(f748(x4443,x4441),f748(x4443,x4442))
% 218.59/218.73 [445]~E(x4451,x4452)+E(f65(x4451,x4453,x4454,x4455,x4456),f65(x4452,x4453,x4454,x4455,x4456))
% 218.59/218.73 [446]~E(x4461,x4462)+E(f65(x4463,x4461,x4464,x4465,x4466),f65(x4463,x4462,x4464,x4465,x4466))
% 218.59/218.73 [447]~E(x4471,x4472)+E(f65(x4473,x4474,x4471,x4475,x4476),f65(x4473,x4474,x4472,x4475,x4476))
% 218.59/218.73 [448]~E(x4481,x4482)+E(f65(x4483,x4484,x4485,x4481,x4486),f65(x4483,x4484,x4485,x4482,x4486))
% 218.59/218.73 [449]~E(x4491,x4492)+E(f65(x4493,x4494,x4495,x4496,x4491),f65(x4493,x4494,x4495,x4496,x4492))
% 218.59/218.73 [450]~E(x4501,x4502)+E(f250(x4501,x4503,x4504,x4505),f250(x4502,x4503,x4504,x4505))
% 218.59/218.73 [451]~E(x4511,x4512)+E(f250(x4513,x4511,x4514,x4515),f250(x4513,x4512,x4514,x4515))
% 218.59/218.73 [452]~E(x4521,x4522)+E(f250(x4523,x4524,x4521,x4525),f250(x4523,x4524,x4522,x4525))
% 218.59/218.73 [453]~E(x4531,x4532)+E(f250(x4533,x4534,x4535,x4531),f250(x4533,x4534,x4535,x4532))
% 218.59/218.73 [454]~E(x4541,x4542)+E(f310(x4541,x4543,x4544),f310(x4542,x4543,x4544))
% 218.59/218.73 [455]~E(x4551,x4552)+E(f310(x4553,x4551,x4554),f310(x4553,x4552,x4554))
% 218.59/218.73 [456]~E(x4561,x4562)+E(f310(x4563,x4564,x4561),f310(x4563,x4564,x4562))
% 218.59/218.73 [457]~E(x4571,x4572)+E(f742(x4571,x4573,x4574),f742(x4572,x4573,x4574))
% 218.59/218.73 [458]~E(x4581,x4582)+E(f742(x4583,x4581,x4584),f742(x4583,x4582,x4584))
% 218.59/218.73 [459]~E(x4591,x4592)+E(f742(x4593,x4594,x4591),f742(x4593,x4594,x4592))
% 218.59/218.73 [460]~E(x4601,x4602)+E(f625(x4601,x4603,x4604),f625(x4602,x4603,x4604))
% 218.59/218.73 [461]~E(x4611,x4612)+E(f625(x4613,x4611,x4614),f625(x4613,x4612,x4614))
% 218.59/218.73 [462]~E(x4621,x4622)+E(f625(x4623,x4624,x4621),f625(x4623,x4624,x4622))
% 218.59/218.73 [463]~E(x4631,x4632)+E(f511(x4631,x4633,x4634),f511(x4632,x4633,x4634))
% 218.59/218.73 [464]~E(x4641,x4642)+E(f511(x4643,x4641,x4644),f511(x4643,x4642,x4644))
% 218.59/218.73 [465]~E(x4651,x4652)+E(f511(x4653,x4654,x4651),f511(x4653,x4654,x4652))
% 218.59/218.73 [466]~E(x4661,x4662)+E(f210(x4661,x4663),f210(x4662,x4663))
% 218.59/218.73 [467]~E(x4671,x4672)+E(f210(x4673,x4671),f210(x4673,x4672))
% 218.59/218.73 [468]~E(x4681,x4682)+E(f12(x4681,x4683),f12(x4682,x4683))
% 218.59/218.73 [469]~E(x4691,x4692)+E(f12(x4693,x4691),f12(x4693,x4692))
% 218.59/218.73 [470]~E(x4701,x4702)+E(f793(x4701,x4703,x4704,x4705),f793(x4702,x4703,x4704,x4705))
% 218.59/218.73 [471]~E(x4711,x4712)+E(f793(x4713,x4711,x4714,x4715),f793(x4713,x4712,x4714,x4715))
% 218.59/218.73 [472]~E(x4721,x4722)+E(f793(x4723,x4724,x4721,x4725),f793(x4723,x4724,x4722,x4725))
% 218.59/218.73 [473]~E(x4731,x4732)+E(f793(x4733,x4734,x4735,x4731),f793(x4733,x4734,x4735,x4732))
% 218.59/218.73 [474]~E(x4741,x4742)+E(f54(x4741,x4743,x4744),f54(x4742,x4743,x4744))
% 218.59/218.73 [475]~E(x4751,x4752)+E(f54(x4753,x4751,x4754),f54(x4753,x4752,x4754))
% 218.59/218.73 [476]~E(x4761,x4762)+E(f54(x4763,x4764,x4761),f54(x4763,x4764,x4762))
% 218.59/218.73 [477]~E(x4771,x4772)+E(f335(x4771,x4773,x4774,x4775),f335(x4772,x4773,x4774,x4775))
% 218.59/218.73 [478]~E(x4781,x4782)+E(f335(x4783,x4781,x4784,x4785),f335(x4783,x4782,x4784,x4785))
% 218.59/218.73 [479]~E(x4791,x4792)+E(f335(x4793,x4794,x4791,x4795),f335(x4793,x4794,x4792,x4795))
% 218.59/218.73 [480]~E(x4801,x4802)+E(f335(x4803,x4804,x4805,x4801),f335(x4803,x4804,x4805,x4802))
% 218.59/218.73 [481]~E(x4811,x4812)+E(f303(x4811),f303(x4812))
% 218.59/218.73 [482]~E(x4821,x4822)+E(f397(x4821,x4823,x4824,x4825),f397(x4822,x4823,x4824,x4825))
% 218.59/218.73 [483]~E(x4831,x4832)+E(f397(x4833,x4831,x4834,x4835),f397(x4833,x4832,x4834,x4835))
% 218.59/218.73 [484]~E(x4841,x4842)+E(f397(x4843,x4844,x4841,x4845),f397(x4843,x4844,x4842,x4845))
% 218.59/218.73 [485]~E(x4851,x4852)+E(f397(x4853,x4854,x4855,x4851),f397(x4853,x4854,x4855,x4852))
% 218.59/218.73 [486]~E(x4861,x4862)+E(f739(x4861,x4863),f739(x4862,x4863))
% 218.59/218.73 [487]~E(x4871,x4872)+E(f739(x4873,x4871),f739(x4873,x4872))
% 218.59/218.73 [488]~E(x4881,x4882)+E(f677(x4881,x4883,x4884),f677(x4882,x4883,x4884))
% 218.59/218.73 [489]~E(x4891,x4892)+E(f677(x4893,x4891,x4894),f677(x4893,x4892,x4894))
% 218.59/218.73 [490]~E(x4901,x4902)+E(f677(x4903,x4904,x4901),f677(x4903,x4904,x4902))
% 218.59/218.73 [491]~E(x4911,x4912)+E(f492(x4911,x4913,x4914,x4915,x4916),f492(x4912,x4913,x4914,x4915,x4916))
% 218.59/218.73 [492]~E(x4921,x4922)+E(f492(x4923,x4921,x4924,x4925,x4926),f492(x4923,x4922,x4924,x4925,x4926))
% 218.59/218.73 [493]~E(x4931,x4932)+E(f492(x4933,x4934,x4931,x4935,x4936),f492(x4933,x4934,x4932,x4935,x4936))
% 218.59/218.73 [494]~E(x4941,x4942)+E(f492(x4943,x4944,x4945,x4941,x4946),f492(x4943,x4944,x4945,x4942,x4946))
% 218.59/218.73 [495]~E(x4951,x4952)+E(f492(x4953,x4954,x4955,x4956,x4951),f492(x4953,x4954,x4955,x4956,x4952))
% 218.59/218.73 [496]~E(x4961,x4962)+E(f293(x4961),f293(x4962))
% 218.59/218.73 [497]~E(x4971,x4972)+E(f769(x4971,x4973,x4974),f769(x4972,x4973,x4974))
% 218.59/218.73 [498]~E(x4981,x4982)+E(f769(x4983,x4981,x4984),f769(x4983,x4982,x4984))
% 218.59/218.73 [499]~E(x4991,x4992)+E(f769(x4993,x4994,x4991),f769(x4993,x4994,x4992))
% 218.59/218.73 [500]~E(x5001,x5002)+E(f398(x5001,x5003,x5004,x5005),f398(x5002,x5003,x5004,x5005))
% 218.59/218.73 [501]~E(x5011,x5012)+E(f398(x5013,x5011,x5014,x5015),f398(x5013,x5012,x5014,x5015))
% 218.59/218.73 [502]~E(x5021,x5022)+E(f398(x5023,x5024,x5021,x5025),f398(x5023,x5024,x5022,x5025))
% 218.59/218.73 [503]~E(x5031,x5032)+E(f398(x5033,x5034,x5035,x5031),f398(x5033,x5034,x5035,x5032))
% 218.59/218.73 [504]~E(x5041,x5042)+E(f371(x5041,x5043,x5044),f371(x5042,x5043,x5044))
% 218.59/218.73 [505]~E(x5051,x5052)+E(f371(x5053,x5051,x5054),f371(x5053,x5052,x5054))
% 218.59/218.73 [506]~E(x5061,x5062)+E(f371(x5063,x5064,x5061),f371(x5063,x5064,x5062))
% 218.59/218.73 [507]~E(x5071,x5072)+E(f295(x5071,x5073,x5074),f295(x5072,x5073,x5074))
% 218.59/218.73 [508]~E(x5081,x5082)+E(f295(x5083,x5081,x5084),f295(x5083,x5082,x5084))
% 218.59/218.73 [509]~E(x5091,x5092)+E(f295(x5093,x5094,x5091),f295(x5093,x5094,x5092))
% 218.59/218.73 [510]~E(x5101,x5102)+E(f194(x5101),f194(x5102))
% 218.59/218.73 [511]~E(x5111,x5112)+E(f724(x5111,x5113),f724(x5112,x5113))
% 218.59/218.73 [512]~E(x5121,x5122)+E(f724(x5123,x5121),f724(x5123,x5122))
% 218.59/218.73 [513]~E(x5131,x5132)+E(f714(x5131,x5133,x5134,x5135,x5136),f714(x5132,x5133,x5134,x5135,x5136))
% 218.59/218.73 [514]~E(x5141,x5142)+E(f714(x5143,x5141,x5144,x5145,x5146),f714(x5143,x5142,x5144,x5145,x5146))
% 218.59/218.73 [515]~E(x5151,x5152)+E(f714(x5153,x5154,x5151,x5155,x5156),f714(x5153,x5154,x5152,x5155,x5156))
% 218.59/218.73 [516]~E(x5161,x5162)+E(f714(x5163,x5164,x5165,x5161,x5166),f714(x5163,x5164,x5165,x5162,x5166))
% 218.59/218.73 [517]~E(x5171,x5172)+E(f714(x5173,x5174,x5175,x5176,x5171),f714(x5173,x5174,x5175,x5176,x5172))
% 218.59/218.73 [518]~E(x5181,x5182)+E(f13(x5181,x5183,x5184),f13(x5182,x5183,x5184))
% 218.59/218.73 [519]~E(x5191,x5192)+E(f13(x5193,x5191,x5194),f13(x5193,x5192,x5194))
% 218.59/218.73 [520]~E(x5201,x5202)+E(f13(x5203,x5204,x5201),f13(x5203,x5204,x5202))
% 218.59/218.73 [521]~E(x5211,x5212)+E(f445(x5211,x5213,x5214),f445(x5212,x5213,x5214))
% 218.59/218.73 [522]~E(x5221,x5222)+E(f445(x5223,x5221,x5224),f445(x5223,x5222,x5224))
% 218.59/218.73 [523]~E(x5231,x5232)+E(f445(x5233,x5234,x5231),f445(x5233,x5234,x5232))
% 218.59/218.73 [524]~E(x5241,x5242)+E(f497(x5241),f497(x5242))
% 218.59/218.73 [525]~E(x5251,x5252)+E(f765(x5251,x5253,x5254,x5255,x5256,x5257,x5258),f765(x5252,x5253,x5254,x5255,x5256,x5257,x5258))
% 218.59/218.73 [526]~E(x5261,x5262)+E(f765(x5263,x5261,x5264,x5265,x5266,x5267,x5268),f765(x5263,x5262,x5264,x5265,x5266,x5267,x5268))
% 218.59/218.73 [527]~E(x5271,x5272)+E(f765(x5273,x5274,x5271,x5275,x5276,x5277,x5278),f765(x5273,x5274,x5272,x5275,x5276,x5277,x5278))
% 218.59/218.73 [528]~E(x5281,x5282)+E(f765(x5283,x5284,x5285,x5281,x5286,x5287,x5288),f765(x5283,x5284,x5285,x5282,x5286,x5287,x5288))
% 218.59/218.73 [529]~E(x5291,x5292)+E(f765(x5293,x5294,x5295,x5296,x5291,x5297,x5298),f765(x5293,x5294,x5295,x5296,x5292,x5297,x5298))
% 218.59/218.73 [530]~E(x5301,x5302)+E(f765(x5303,x5304,x5305,x5306,x5307,x5301,x5308),f765(x5303,x5304,x5305,x5306,x5307,x5302,x5308))
% 218.59/218.73 [531]~E(x5311,x5312)+E(f765(x5313,x5314,x5315,x5316,x5317,x5318,x5311),f765(x5313,x5314,x5315,x5316,x5317,x5318,x5312))
% 218.59/218.73 [532]~E(x5321,x5322)+E(f814(x5321,x5323),f814(x5322,x5323))
% 218.59/218.73 [533]~E(x5331,x5332)+E(f814(x5333,x5331),f814(x5333,x5332))
% 218.59/218.73 [534]~E(x5341,x5342)+E(f81(x5341,x5343),f81(x5342,x5343))
% 218.59/218.73 [535]~E(x5351,x5352)+E(f81(x5353,x5351),f81(x5353,x5352))
% 218.59/218.73 [536]~E(x5361,x5362)+E(f117(x5361),f117(x5362))
% 218.59/218.73 [537]~E(x5371,x5372)+E(f493(x5371,x5373,x5374,x5375,x5376),f493(x5372,x5373,x5374,x5375,x5376))
% 218.59/218.73 [538]~E(x5381,x5382)+E(f493(x5383,x5381,x5384,x5385,x5386),f493(x5383,x5382,x5384,x5385,x5386))
% 218.59/218.73 [539]~E(x5391,x5392)+E(f493(x5393,x5394,x5391,x5395,x5396),f493(x5393,x5394,x5392,x5395,x5396))
% 218.59/218.73 [540]~E(x5401,x5402)+E(f493(x5403,x5404,x5405,x5401,x5406),f493(x5403,x5404,x5405,x5402,x5406))
% 218.59/218.73 [541]~E(x5411,x5412)+E(f493(x5413,x5414,x5415,x5416,x5411),f493(x5413,x5414,x5415,x5416,x5412))
% 218.59/218.73 [542]~E(x5421,x5422)+E(f141(x5421,x5423,x5424,x5425,x5426),f141(x5422,x5423,x5424,x5425,x5426))
% 218.59/218.73 [543]~E(x5431,x5432)+E(f141(x5433,x5431,x5434,x5435,x5436),f141(x5433,x5432,x5434,x5435,x5436))
% 218.59/218.73 [544]~E(x5441,x5442)+E(f141(x5443,x5444,x5441,x5445,x5446),f141(x5443,x5444,x5442,x5445,x5446))
% 218.59/218.73 [545]~E(x5451,x5452)+E(f141(x5453,x5454,x5455,x5451,x5456),f141(x5453,x5454,x5455,x5452,x5456))
% 218.59/218.73 [546]~E(x5461,x5462)+E(f141(x5463,x5464,x5465,x5466,x5461),f141(x5463,x5464,x5465,x5466,x5462))
% 218.59/218.73 [547]~E(x5471,x5472)+E(f279(x5471,x5473,x5474,x5475),f279(x5472,x5473,x5474,x5475))
% 218.59/218.73 [548]~E(x5481,x5482)+E(f279(x5483,x5481,x5484,x5485),f279(x5483,x5482,x5484,x5485))
% 218.59/218.73 [549]~E(x5491,x5492)+E(f279(x5493,x5494,x5491,x5495),f279(x5493,x5494,x5492,x5495))
% 218.59/218.73 [550]~E(x5501,x5502)+E(f279(x5503,x5504,x5505,x5501),f279(x5503,x5504,x5505,x5502))
% 218.59/218.73 [551]~E(x5511,x5512)+E(f412(x5511,x5513,x5514,x5515),f412(x5512,x5513,x5514,x5515))
% 218.59/218.73 [552]~E(x5521,x5522)+E(f412(x5523,x5521,x5524,x5525),f412(x5523,x5522,x5524,x5525))
% 218.59/218.73 [553]~E(x5531,x5532)+E(f412(x5533,x5534,x5531,x5535),f412(x5533,x5534,x5532,x5535))
% 218.59/218.73 [554]~E(x5541,x5542)+E(f412(x5543,x5544,x5545,x5541),f412(x5543,x5544,x5545,x5542))
% 218.59/218.73 [555]~E(x5551,x5552)+E(f827(x5551,x5553,x5554),f827(x5552,x5553,x5554))
% 218.59/218.73 [556]~E(x5561,x5562)+E(f827(x5563,x5561,x5564),f827(x5563,x5562,x5564))
% 218.59/218.73 [557]~E(x5571,x5572)+E(f827(x5573,x5574,x5571),f827(x5573,x5574,x5572))
% 218.59/218.73 [558]~E(x5581,x5582)+E(f424(x5581,x5583,x5584,x5585,x5586),f424(x5582,x5583,x5584,x5585,x5586))
% 218.59/218.73 [559]~E(x5591,x5592)+E(f424(x5593,x5591,x5594,x5595,x5596),f424(x5593,x5592,x5594,x5595,x5596))
% 218.59/218.73 [560]~E(x5601,x5602)+E(f424(x5603,x5604,x5601,x5605,x5606),f424(x5603,x5604,x5602,x5605,x5606))
% 218.59/218.73 [561]~E(x5611,x5612)+E(f424(x5613,x5614,x5615,x5611,x5616),f424(x5613,x5614,x5615,x5612,x5616))
% 218.59/218.73 [562]~E(x5621,x5622)+E(f424(x5623,x5624,x5625,x5626,x5621),f424(x5623,x5624,x5625,x5626,x5622))
% 218.59/218.73 [563]~E(x5631,x5632)+E(f320(x5631,x5633,x5634,x5635),f320(x5632,x5633,x5634,x5635))
% 218.59/218.73 [564]~E(x5641,x5642)+E(f320(x5643,x5641,x5644,x5645),f320(x5643,x5642,x5644,x5645))
% 218.59/218.73 [565]~E(x5651,x5652)+E(f320(x5653,x5654,x5651,x5655),f320(x5653,x5654,x5652,x5655))
% 218.59/218.73 [566]~E(x5661,x5662)+E(f320(x5663,x5664,x5665,x5661),f320(x5663,x5664,x5665,x5662))
% 218.59/218.73 [567]~E(x5671,x5672)+E(f854(x5671,x5673,x5674,x5675,x5676),f854(x5672,x5673,x5674,x5675,x5676))
% 218.59/218.73 [568]~E(x5681,x5682)+E(f854(x5683,x5681,x5684,x5685,x5686),f854(x5683,x5682,x5684,x5685,x5686))
% 218.59/218.73 [569]~E(x5691,x5692)+E(f854(x5693,x5694,x5691,x5695,x5696),f854(x5693,x5694,x5692,x5695,x5696))
% 218.59/218.73 [570]~E(x5701,x5702)+E(f854(x5703,x5704,x5705,x5701,x5706),f854(x5703,x5704,x5705,x5702,x5706))
% 218.59/218.73 [571]~E(x5711,x5712)+E(f854(x5713,x5714,x5715,x5716,x5711),f854(x5713,x5714,x5715,x5716,x5712))
% 218.59/218.73 [572]~E(x5721,x5722)+E(f119(x5721,x5723),f119(x5722,x5723))
% 218.59/218.73 [573]~E(x5731,x5732)+E(f119(x5733,x5731),f119(x5733,x5732))
% 218.59/218.73 [574]~E(x5741,x5742)+E(f711(x5741,x5743),f711(x5742,x5743))
% 218.59/218.73 [575]~E(x5751,x5752)+E(f711(x5753,x5751),f711(x5753,x5752))
% 218.59/218.73 [576]~E(x5761,x5762)+E(f395(x5761,x5763,x5764,x5765),f395(x5762,x5763,x5764,x5765))
% 218.59/218.73 [577]~E(x5771,x5772)+E(f395(x5773,x5771,x5774,x5775),f395(x5773,x5772,x5774,x5775))
% 218.59/218.73 [578]~E(x5781,x5782)+E(f395(x5783,x5784,x5781,x5785),f395(x5783,x5784,x5782,x5785))
% 218.59/218.73 [579]~E(x5791,x5792)+E(f395(x5793,x5794,x5795,x5791),f395(x5793,x5794,x5795,x5792))
% 218.59/218.73 [580]~E(x5801,x5802)+E(f259(x5801,x5803),f259(x5802,x5803))
% 218.59/218.73 [581]~E(x5811,x5812)+E(f259(x5813,x5811),f259(x5813,x5812))
% 218.59/218.73 [582]~E(x5821,x5822)+E(f85(x5821,x5823),f85(x5822,x5823))
% 218.59/218.73 [583]~E(x5831,x5832)+E(f85(x5833,x5831),f85(x5833,x5832))
% 218.59/218.73 [584]~E(x5841,x5842)+E(f396(x5841,x5843,x5844,x5845),f396(x5842,x5843,x5844,x5845))
% 218.59/218.73 [585]~E(x5851,x5852)+E(f396(x5853,x5851,x5854,x5855),f396(x5853,x5852,x5854,x5855))
% 218.59/218.73 [586]~E(x5861,x5862)+E(f396(x5863,x5864,x5861,x5865),f396(x5863,x5864,x5862,x5865))
% 218.59/218.73 [587]~E(x5871,x5872)+E(f396(x5873,x5874,x5875,x5871),f396(x5873,x5874,x5875,x5872))
% 218.59/218.73 [588]~E(x5881,x5882)+E(f660(x5881,x5883,x5884,x5885,x5886,x5887),f660(x5882,x5883,x5884,x5885,x5886,x5887))
% 218.59/218.73 [589]~E(x5891,x5892)+E(f660(x5893,x5891,x5894,x5895,x5896,x5897),f660(x5893,x5892,x5894,x5895,x5896,x5897))
% 218.59/218.73 [590]~E(x5901,x5902)+E(f660(x5903,x5904,x5901,x5905,x5906,x5907),f660(x5903,x5904,x5902,x5905,x5906,x5907))
% 218.59/218.73 [591]~E(x5911,x5912)+E(f660(x5913,x5914,x5915,x5911,x5916,x5917),f660(x5913,x5914,x5915,x5912,x5916,x5917))
% 218.59/218.73 [592]~E(x5921,x5922)+E(f660(x5923,x5924,x5925,x5926,x5921,x5927),f660(x5923,x5924,x5925,x5926,x5922,x5927))
% 218.59/218.73 [593]~E(x5931,x5932)+E(f660(x5933,x5934,x5935,x5936,x5937,x5931),f660(x5933,x5934,x5935,x5936,x5937,x5932))
% 218.59/218.73 [594]~E(x5941,x5942)+E(f221(x5941,x5943),f221(x5942,x5943))
% 218.59/218.73 [595]~E(x5951,x5952)+E(f221(x5953,x5951),f221(x5953,x5952))
% 218.59/218.73 [596]~E(x5961,x5962)+E(f653(x5961,x5963,x5964),f653(x5962,x5963,x5964))
% 218.59/218.73 [597]~E(x5971,x5972)+E(f653(x5973,x5971,x5974),f653(x5973,x5972,x5974))
% 218.59/218.73 [598]~E(x5981,x5982)+E(f653(x5983,x5984,x5981),f653(x5983,x5984,x5982))
% 218.59/218.73 [599]~E(x5991,x5992)+E(f27(x5991,x5993,x5994),f27(x5992,x5993,x5994))
% 218.59/218.73 [600]~E(x6001,x6002)+E(f27(x6003,x6001,x6004),f27(x6003,x6002,x6004))
% 218.59/218.73 [601]~E(x6011,x6012)+E(f27(x6013,x6014,x6011),f27(x6013,x6014,x6012))
% 218.59/218.73 [602]~E(x6021,x6022)+E(f667(x6021,x6023,x6024,x6025),f667(x6022,x6023,x6024,x6025))
% 218.59/218.73 [603]~E(x6031,x6032)+E(f667(x6033,x6031,x6034,x6035),f667(x6033,x6032,x6034,x6035))
% 218.59/218.73 [604]~E(x6041,x6042)+E(f667(x6043,x6044,x6041,x6045),f667(x6043,x6044,x6042,x6045))
% 218.59/218.73 [605]~E(x6051,x6052)+E(f667(x6053,x6054,x6055,x6051),f667(x6053,x6054,x6055,x6052))
% 218.59/218.73 [606]~E(x6061,x6062)+E(f550(x6061,x6063),f550(x6062,x6063))
% 218.59/218.73 [607]~E(x6071,x6072)+E(f550(x6073,x6071),f550(x6073,x6072))
% 218.59/218.73 [608]~E(x6081,x6082)+E(f67(x6081,x6083,x6084),f67(x6082,x6083,x6084))
% 218.59/218.73 [609]~E(x6091,x6092)+E(f67(x6093,x6091,x6094),f67(x6093,x6092,x6094))
% 218.59/218.73 [610]~E(x6101,x6102)+E(f67(x6103,x6104,x6101),f67(x6103,x6104,x6102))
% 218.59/218.73 [611]~E(x6111,x6112)+E(f58(x6111,x6113,x6114,x6115),f58(x6112,x6113,x6114,x6115))
% 218.59/218.73 [612]~E(x6121,x6122)+E(f58(x6123,x6121,x6124,x6125),f58(x6123,x6122,x6124,x6125))
% 218.59/218.73 [613]~E(x6131,x6132)+E(f58(x6133,x6134,x6131,x6135),f58(x6133,x6134,x6132,x6135))
% 218.59/218.73 [614]~E(x6141,x6142)+E(f58(x6143,x6144,x6145,x6141),f58(x6143,x6144,x6145,x6142))
% 218.59/218.73 [615]~E(x6151,x6152)+E(f122(x6151),f122(x6152))
% 218.59/218.73 [616]~E(x6161,x6162)+E(f831(x6161,x6163,x6164),f831(x6162,x6163,x6164))
% 218.59/218.73 [617]~E(x6171,x6172)+E(f831(x6173,x6171,x6174),f831(x6173,x6172,x6174))
% 218.59/218.73 [618]~E(x6181,x6182)+E(f831(x6183,x6184,x6181),f831(x6183,x6184,x6182))
% 218.59/218.73 [619]~E(x6191,x6192)+E(f731(x6191,x6193,x6194),f731(x6192,x6193,x6194))
% 218.59/218.73 [620]~E(x6201,x6202)+E(f731(x6203,x6201,x6204),f731(x6203,x6202,x6204))
% 218.59/218.73 [621]~E(x6211,x6212)+E(f731(x6213,x6214,x6211),f731(x6213,x6214,x6212))
% 218.59/218.73 [622]~E(x6221,x6222)+E(f639(x6221,x6223,x6224,x6225,x6226),f639(x6222,x6223,x6224,x6225,x6226))
% 218.59/218.73 [623]~E(x6231,x6232)+E(f639(x6233,x6231,x6234,x6235,x6236),f639(x6233,x6232,x6234,x6235,x6236))
% 218.59/218.73 [624]~E(x6241,x6242)+E(f639(x6243,x6244,x6241,x6245,x6246),f639(x6243,x6244,x6242,x6245,x6246))
% 218.59/218.73 [625]~E(x6251,x6252)+E(f639(x6253,x6254,x6255,x6251,x6256),f639(x6253,x6254,x6255,x6252,x6256))
% 218.59/218.73 [626]~E(x6261,x6262)+E(f639(x6263,x6264,x6265,x6266,x6261),f639(x6263,x6264,x6265,x6266,x6262))
% 218.59/218.73 [627]~E(x6271,x6272)+E(f661(x6271,x6273,x6274,x6275,x6276,x6277),f661(x6272,x6273,x6274,x6275,x6276,x6277))
% 218.59/218.73 [628]~E(x6281,x6282)+E(f661(x6283,x6281,x6284,x6285,x6286,x6287),f661(x6283,x6282,x6284,x6285,x6286,x6287))
% 218.59/218.73 [629]~E(x6291,x6292)+E(f661(x6293,x6294,x6291,x6295,x6296,x6297),f661(x6293,x6294,x6292,x6295,x6296,x6297))
% 218.59/218.73 [630]~E(x6301,x6302)+E(f661(x6303,x6304,x6305,x6301,x6306,x6307),f661(x6303,x6304,x6305,x6302,x6306,x6307))
% 218.59/218.73 [631]~E(x6311,x6312)+E(f661(x6313,x6314,x6315,x6316,x6311,x6317),f661(x6313,x6314,x6315,x6316,x6312,x6317))
% 218.59/218.73 [632]~E(x6321,x6322)+E(f661(x6323,x6324,x6325,x6326,x6327,x6321),f661(x6323,x6324,x6325,x6326,x6327,x6322))
% 218.59/218.73 [633]~E(x6331,x6332)+E(f735(x6331,x6333),f735(x6332,x6333))
% 218.59/218.73 [634]~E(x6341,x6342)+E(f735(x6343,x6341),f735(x6343,x6342))
% 218.59/218.73 [635]~E(x6351,x6352)+E(f37(x6351,x6353),f37(x6352,x6353))
% 218.59/218.73 [636]~E(x6361,x6362)+E(f37(x6363,x6361),f37(x6363,x6362))
% 218.59/218.73 [637]~E(x6371,x6372)+E(f849(x6371,x6373,x6374),f849(x6372,x6373,x6374))
% 218.59/218.73 [638]~E(x6381,x6382)+E(f849(x6383,x6381,x6384),f849(x6383,x6382,x6384))
% 218.59/218.73 [639]~E(x6391,x6392)+E(f849(x6393,x6394,x6391),f849(x6393,x6394,x6392))
% 218.59/218.73 [640]~E(x6401,x6402)+E(f808(x6401,x6403),f808(x6402,x6403))
% 218.59/218.73 [641]~E(x6411,x6412)+E(f808(x6413,x6411),f808(x6413,x6412))
% 218.59/218.73 [642]~E(x6421,x6422)+E(f240(x6421,x6423,x6424),f240(x6422,x6423,x6424))
% 218.59/218.73 [643]~E(x6431,x6432)+E(f240(x6433,x6431,x6434),f240(x6433,x6432,x6434))
% 218.59/218.73 [644]~E(x6441,x6442)+E(f240(x6443,x6444,x6441),f240(x6443,x6444,x6442))
% 218.59/218.73 [645]~E(x6451,x6452)+E(f730(x6451,x6453),f730(x6452,x6453))
% 218.59/218.73 [646]~E(x6461,x6462)+E(f730(x6463,x6461),f730(x6463,x6462))
% 218.59/218.73 [647]~E(x6471,x6472)+E(f147(x6471,x6473,x6474),f147(x6472,x6473,x6474))
% 218.59/218.73 [648]~E(x6481,x6482)+E(f147(x6483,x6481,x6484),f147(x6483,x6482,x6484))
% 218.59/218.73 [649]~E(x6491,x6492)+E(f147(x6493,x6494,x6491),f147(x6493,x6494,x6492))
% 218.59/218.73 [650]~E(x6501,x6502)+E(f329(x6501,x6503,x6504,x6505),f329(x6502,x6503,x6504,x6505))
% 218.59/218.73 [651]~E(x6511,x6512)+E(f329(x6513,x6511,x6514,x6515),f329(x6513,x6512,x6514,x6515))
% 218.59/218.73 [652]~E(x6521,x6522)+E(f329(x6523,x6524,x6521,x6525),f329(x6523,x6524,x6522,x6525))
% 218.59/218.73 [653]~E(x6531,x6532)+E(f329(x6533,x6534,x6535,x6531),f329(x6533,x6534,x6535,x6532))
% 218.59/218.73 [654]~E(x6541,x6542)+E(f290(x6541),f290(x6542))
% 218.59/218.73 [655]~E(x6551,x6552)+E(f356(x6551,x6553,x6554),f356(x6552,x6553,x6554))
% 218.59/218.73 [656]~E(x6561,x6562)+E(f356(x6563,x6561,x6564),f356(x6563,x6562,x6564))
% 218.59/218.73 [657]~E(x6571,x6572)+E(f356(x6573,x6574,x6571),f356(x6573,x6574,x6572))
% 218.59/218.73 [658]~E(x6581,x6582)+E(f537(x6581,x6583,x6584,x6585),f537(x6582,x6583,x6584,x6585))
% 218.59/218.73 [659]~E(x6591,x6592)+E(f537(x6593,x6591,x6594,x6595),f537(x6593,x6592,x6594,x6595))
% 218.59/218.73 [660]~E(x6601,x6602)+E(f537(x6603,x6604,x6601,x6605),f537(x6603,x6604,x6602,x6605))
% 218.59/218.73 [661]~E(x6611,x6612)+E(f537(x6613,x6614,x6615,x6611),f537(x6613,x6614,x6615,x6612))
% 218.59/218.73 [662]~E(x6621,x6622)+E(f650(x6621,x6623,x6624),f650(x6622,x6623,x6624))
% 218.59/218.73 [663]~E(x6631,x6632)+E(f650(x6633,x6631,x6634),f650(x6633,x6632,x6634))
% 218.59/218.73 [664]~E(x6641,x6642)+E(f650(x6643,x6644,x6641),f650(x6643,x6644,x6642))
% 218.59/218.73 [665]~E(x6651,x6652)+E(f844(x6651,x6653,x6654),f844(x6652,x6653,x6654))
% 218.59/218.73 [666]~E(x6661,x6662)+E(f844(x6663,x6661,x6664),f844(x6663,x6662,x6664))
% 218.59/218.73 [667]~E(x6671,x6672)+E(f844(x6673,x6674,x6671),f844(x6673,x6674,x6672))
% 218.59/218.73 [668]~E(x6681,x6682)+E(f121(x6681,x6683),f121(x6682,x6683))
% 218.59/218.73 [669]~E(x6691,x6692)+E(f121(x6693,x6691),f121(x6693,x6692))
% 218.59/218.73 [670]~E(x6701,x6702)+E(f45(x6701,x6703),f45(x6702,x6703))
% 218.59/218.73 [671]~E(x6711,x6712)+E(f45(x6713,x6711),f45(x6713,x6712))
% 218.59/218.73 [672]~E(x6721,x6722)+E(f208(x6721,x6723),f208(x6722,x6723))
% 218.59/218.73 [673]~E(x6731,x6732)+E(f208(x6733,x6731),f208(x6733,x6732))
% 218.59/218.73 [674]~E(x6741,x6742)+E(f212(x6741,x6743),f212(x6742,x6743))
% 218.59/218.73 [675]~E(x6751,x6752)+E(f212(x6753,x6751),f212(x6753,x6752))
% 218.59/218.73 [676]~E(x6761,x6762)+E(f61(x6761,x6763,x6764),f61(x6762,x6763,x6764))
% 218.59/218.73 [677]~E(x6771,x6772)+E(f61(x6773,x6771,x6774),f61(x6773,x6772,x6774))
% 218.59/218.73 [678]~E(x6781,x6782)+E(f61(x6783,x6784,x6781),f61(x6783,x6784,x6782))
% 218.59/218.73 [679]~E(x6791,x6792)+E(f494(x6791,x6793,x6794,x6795,x6796),f494(x6792,x6793,x6794,x6795,x6796))
% 218.59/218.73 [680]~E(x6801,x6802)+E(f494(x6803,x6801,x6804,x6805,x6806),f494(x6803,x6802,x6804,x6805,x6806))
% 218.59/218.73 [681]~E(x6811,x6812)+E(f494(x6813,x6814,x6811,x6815,x6816),f494(x6813,x6814,x6812,x6815,x6816))
% 218.59/218.73 [682]~E(x6821,x6822)+E(f494(x6823,x6824,x6825,x6821,x6826),f494(x6823,x6824,x6825,x6822,x6826))
% 218.59/218.73 [683]~E(x6831,x6832)+E(f494(x6833,x6834,x6835,x6836,x6831),f494(x6833,x6834,x6835,x6836,x6832))
% 218.59/218.73 [684]~E(x6841,x6842)+E(f441(x6841,x6843,x6844),f441(x6842,x6843,x6844))
% 218.59/218.73 [685]~E(x6851,x6852)+E(f441(x6853,x6851,x6854),f441(x6853,x6852,x6854))
% 218.59/218.73 [686]~E(x6861,x6862)+E(f441(x6863,x6864,x6861),f441(x6863,x6864,x6862))
% 218.59/218.73 [687]~E(x6871,x6872)+E(f495(x6871,x6873,x6874,x6875,x6876),f495(x6872,x6873,x6874,x6875,x6876))
% 218.59/218.73 [688]~E(x6881,x6882)+E(f495(x6883,x6881,x6884,x6885,x6886),f495(x6883,x6882,x6884,x6885,x6886))
% 218.59/218.73 [689]~E(x6891,x6892)+E(f495(x6893,x6894,x6891,x6895,x6896),f495(x6893,x6894,x6892,x6895,x6896))
% 218.59/218.73 [690]~E(x6901,x6902)+E(f495(x6903,x6904,x6905,x6901,x6906),f495(x6903,x6904,x6905,x6902,x6906))
% 218.59/218.73 [691]~E(x6911,x6912)+E(f495(x6913,x6914,x6915,x6916,x6911),f495(x6913,x6914,x6915,x6916,x6912))
% 218.59/218.73 [692]~E(x6921,x6922)+E(f437(x6921,x6923,x6924),f437(x6922,x6923,x6924))
% 218.59/218.73 [693]~E(x6931,x6932)+E(f437(x6933,x6931,x6934),f437(x6933,x6932,x6934))
% 218.59/218.73 [694]~E(x6941,x6942)+E(f437(x6943,x6944,x6941),f437(x6943,x6944,x6942))
% 218.59/218.73 [695]~E(x6951,x6952)+E(f462(x6951,x6953,x6954,x6955,x6956,x6957,x6958),f462(x6952,x6953,x6954,x6955,x6956,x6957,x6958))
% 218.59/218.73 [696]~E(x6961,x6962)+E(f462(x6963,x6961,x6964,x6965,x6966,x6967,x6968),f462(x6963,x6962,x6964,x6965,x6966,x6967,x6968))
% 218.59/218.73 [697]~E(x6971,x6972)+E(f462(x6973,x6974,x6971,x6975,x6976,x6977,x6978),f462(x6973,x6974,x6972,x6975,x6976,x6977,x6978))
% 218.59/218.73 [698]~E(x6981,x6982)+E(f462(x6983,x6984,x6985,x6981,x6986,x6987,x6988),f462(x6983,x6984,x6985,x6982,x6986,x6987,x6988))
% 218.59/218.73 [699]~E(x6991,x6992)+E(f462(x6993,x6994,x6995,x6996,x6991,x6997,x6998),f462(x6993,x6994,x6995,x6996,x6992,x6997,x6998))
% 218.59/218.73 [700]~E(x7001,x7002)+E(f462(x7003,x7004,x7005,x7006,x7007,x7001,x7008),f462(x7003,x7004,x7005,x7006,x7007,x7002,x7008))
% 218.59/218.73 [701]~E(x7011,x7012)+E(f462(x7013,x7014,x7015,x7016,x7017,x7018,x7011),f462(x7013,x7014,x7015,x7016,x7017,x7018,x7012))
% 218.59/218.73 [702]~E(x7021,x7022)+E(f543(x7021,x7023),f543(x7022,x7023))
% 218.59/218.73 [703]~E(x7031,x7032)+E(f543(x7033,x7031),f543(x7033,x7032))
% 218.59/218.73 [704]~E(x7041,x7042)+E(f656(x7041,x7043,x7044,x7045,x7046),f656(x7042,x7043,x7044,x7045,x7046))
% 218.59/218.73 [705]~E(x7051,x7052)+E(f656(x7053,x7051,x7054,x7055,x7056),f656(x7053,x7052,x7054,x7055,x7056))
% 218.59/218.73 [706]~E(x7061,x7062)+E(f656(x7063,x7064,x7061,x7065,x7066),f656(x7063,x7064,x7062,x7065,x7066))
% 218.59/218.73 [707]~E(x7071,x7072)+E(f656(x7073,x7074,x7075,x7071,x7076),f656(x7073,x7074,x7075,x7072,x7076))
% 218.59/218.73 [708]~E(x7081,x7082)+E(f656(x7083,x7084,x7085,x7086,x7081),f656(x7083,x7084,x7085,x7086,x7082))
% 218.59/218.73 [709]~E(x7091,x7092)+E(f469(x7091,x7093,x7094,x7095,x7096),f469(x7092,x7093,x7094,x7095,x7096))
% 218.59/218.73 [710]~E(x7101,x7102)+E(f469(x7103,x7101,x7104,x7105,x7106),f469(x7103,x7102,x7104,x7105,x7106))
% 218.59/218.73 [711]~E(x7111,x7112)+E(f469(x7113,x7114,x7111,x7115,x7116),f469(x7113,x7114,x7112,x7115,x7116))
% 218.59/218.73 [712]~E(x7121,x7122)+E(f469(x7123,x7124,x7125,x7121,x7126),f469(x7123,x7124,x7125,x7122,x7126))
% 218.59/218.73 [713]~E(x7131,x7132)+E(f469(x7133,x7134,x7135,x7136,x7131),f469(x7133,x7134,x7135,x7136,x7132))
% 218.59/218.73 [714]~E(x7141,x7142)+E(f283(x7141,x7143,x7144),f283(x7142,x7143,x7144))
% 218.59/218.73 [715]~E(x7151,x7152)+E(f283(x7153,x7151,x7154),f283(x7153,x7152,x7154))
% 218.59/218.73 [716]~E(x7161,x7162)+E(f283(x7163,x7164,x7161),f283(x7163,x7164,x7162))
% 218.59/218.73 [717]~E(x7171,x7172)+E(f556(x7171,x7173),f556(x7172,x7173))
% 218.59/218.73 [718]~E(x7181,x7182)+E(f556(x7183,x7181),f556(x7183,x7182))
% 218.59/218.73 [719]~E(x7191,x7192)+E(f780(x7191,x7193,x7194),f780(x7192,x7193,x7194))
% 218.59/218.73 [720]~E(x7201,x7202)+E(f780(x7203,x7201,x7204),f780(x7203,x7202,x7204))
% 218.59/218.73 [721]~E(x7211,x7212)+E(f780(x7213,x7214,x7211),f780(x7213,x7214,x7212))
% 218.59/218.73 [722]~E(x7221,x7222)+E(f635(x7221,x7223,x7224),f635(x7222,x7223,x7224))
% 218.59/218.73 [723]~E(x7231,x7232)+E(f635(x7233,x7231,x7234),f635(x7233,x7232,x7234))
% 218.59/218.73 [724]~E(x7241,x7242)+E(f635(x7243,x7244,x7241),f635(x7243,x7244,x7242))
% 218.59/218.73 [725]~E(x7251,x7252)+E(f166(x7251,x7253,x7254),f166(x7252,x7253,x7254))
% 218.59/218.73 [726]~E(x7261,x7262)+E(f166(x7263,x7261,x7264),f166(x7263,x7262,x7264))
% 218.59/218.73 [727]~E(x7271,x7272)+E(f166(x7273,x7274,x7271),f166(x7273,x7274,x7272))
% 218.59/218.73 [728]~E(x7281,x7282)+E(f223(x7281,x7283,x7284,x7285),f223(x7282,x7283,x7284,x7285))
% 218.59/218.73 [729]~E(x7291,x7292)+E(f223(x7293,x7291,x7294,x7295),f223(x7293,x7292,x7294,x7295))
% 218.59/218.73 [730]~E(x7301,x7302)+E(f223(x7303,x7304,x7301,x7305),f223(x7303,x7304,x7302,x7305))
% 218.59/218.73 [731]~E(x7311,x7312)+E(f223(x7313,x7314,x7315,x7311),f223(x7313,x7314,x7315,x7312))
% 218.59/218.73 [732]~E(x7321,x7322)+E(f91(x7321,x7323,x7324,x7325),f91(x7322,x7323,x7324,x7325))
% 218.59/218.73 [733]~E(x7331,x7332)+E(f91(x7333,x7331,x7334,x7335),f91(x7333,x7332,x7334,x7335))
% 218.59/218.73 [734]~E(x7341,x7342)+E(f91(x7343,x7344,x7341,x7345),f91(x7343,x7344,x7342,x7345))
% 218.59/218.73 [735]~E(x7351,x7352)+E(f91(x7353,x7354,x7355,x7351),f91(x7353,x7354,x7355,x7352))
% 218.59/218.73 [736]~E(x7361,x7362)+E(f746(x7361,x7363),f746(x7362,x7363))
% 218.59/218.73 [737]~E(x7371,x7372)+E(f746(x7373,x7371),f746(x7373,x7372))
% 218.59/218.73 [738]~E(x7381,x7382)+E(f826(x7381,x7383),f826(x7382,x7383))
% 218.59/218.73 [739]~E(x7391,x7392)+E(f826(x7393,x7391),f826(x7393,x7392))
% 218.59/218.73 [740]~E(x7401,x7402)+E(f678(x7401,x7403,x7404,x7405),f678(x7402,x7403,x7404,x7405))
% 218.59/218.73 [741]~E(x7411,x7412)+E(f678(x7413,x7411,x7414,x7415),f678(x7413,x7412,x7414,x7415))
% 218.59/218.73 [742]~E(x7421,x7422)+E(f678(x7423,x7424,x7421,x7425),f678(x7423,x7424,x7422,x7425))
% 218.59/218.73 [743]~E(x7431,x7432)+E(f678(x7433,x7434,x7435,x7431),f678(x7433,x7434,x7435,x7432))
% 218.59/218.73 [744]~E(x7441,x7442)+E(f673(x7441,x7443,x7444,x7445),f673(x7442,x7443,x7444,x7445))
% 218.59/218.73 [745]~E(x7451,x7452)+E(f673(x7453,x7451,x7454,x7455),f673(x7453,x7452,x7454,x7455))
% 218.59/218.73 [746]~E(x7461,x7462)+E(f673(x7463,x7464,x7461,x7465),f673(x7463,x7464,x7462,x7465))
% 218.59/218.73 [747]~E(x7471,x7472)+E(f673(x7473,x7474,x7475,x7471),f673(x7473,x7474,x7475,x7472))
% 218.59/218.73 [748]~E(x7481,x7482)+E(f819(x7481,x7483,x7484),f819(x7482,x7483,x7484))
% 218.59/218.73 [749]~E(x7491,x7492)+E(f819(x7493,x7491,x7494),f819(x7493,x7492,x7494))
% 218.59/218.73 [750]~E(x7501,x7502)+E(f819(x7503,x7504,x7501),f819(x7503,x7504,x7502))
% 218.59/218.73 [751]~E(x7511,x7512)+E(f263(x7511,x7513,x7514),f263(x7512,x7513,x7514))
% 218.59/218.73 [752]~E(x7521,x7522)+E(f263(x7523,x7521,x7524),f263(x7523,x7522,x7524))
% 218.59/218.73 [753]~E(x7531,x7532)+E(f263(x7533,x7534,x7531),f263(x7533,x7534,x7532))
% 218.59/218.73 [754]~E(x7541,x7542)+E(f805(x7541,x7543),f805(x7542,x7543))
% 218.59/218.73 [755]~E(x7551,x7552)+E(f805(x7553,x7551),f805(x7553,x7552))
% 218.59/218.73 [756]~E(x7561,x7562)+E(f214(x7561,x7563,x7564,x7565),f214(x7562,x7563,x7564,x7565))
% 218.59/218.73 [757]~E(x7571,x7572)+E(f214(x7573,x7571,x7574,x7575),f214(x7573,x7572,x7574,x7575))
% 218.59/218.73 [758]~E(x7581,x7582)+E(f214(x7583,x7584,x7581,x7585),f214(x7583,x7584,x7582,x7585))
% 218.59/218.73 [759]~E(x7591,x7592)+E(f214(x7593,x7594,x7595,x7591),f214(x7593,x7594,x7595,x7592))
% 218.59/218.73 [760]~E(x7601,x7602)+E(f842(x7601,x7603,x7604,x7605,x7606),f842(x7602,x7603,x7604,x7605,x7606))
% 218.59/218.73 [761]~E(x7611,x7612)+E(f842(x7613,x7611,x7614,x7615,x7616),f842(x7613,x7612,x7614,x7615,x7616))
% 218.59/218.73 [762]~E(x7621,x7622)+E(f842(x7623,x7624,x7621,x7625,x7626),f842(x7623,x7624,x7622,x7625,x7626))
% 218.59/218.73 [763]~E(x7631,x7632)+E(f842(x7633,x7634,x7635,x7631,x7636),f842(x7633,x7634,x7635,x7632,x7636))
% 218.59/218.73 [764]~E(x7641,x7642)+E(f842(x7643,x7644,x7645,x7646,x7641),f842(x7643,x7644,x7645,x7646,x7642))
% 218.59/218.73 [765]~E(x7651,x7652)+E(f422(x7651,x7653,x7654),f422(x7652,x7653,x7654))
% 218.59/218.73 [766]~E(x7661,x7662)+E(f422(x7663,x7661,x7664),f422(x7663,x7662,x7664))
% 218.59/218.73 [767]~E(x7671,x7672)+E(f422(x7673,x7674,x7671),f422(x7673,x7674,x7672))
% 218.59/218.73 [768]~E(x7681,x7682)+E(f843(x7681,x7683,x7684),f843(x7682,x7683,x7684))
% 218.59/218.73 [769]~E(x7691,x7692)+E(f843(x7693,x7691,x7694),f843(x7693,x7692,x7694))
% 218.59/218.73 [770]~E(x7701,x7702)+E(f843(x7703,x7704,x7701),f843(x7703,x7704,x7702))
% 218.59/218.73 [771]~E(x7711,x7712)+E(f741(x7711,x7713),f741(x7712,x7713))
% 218.59/218.73 [772]~E(x7721,x7722)+E(f741(x7723,x7721),f741(x7723,x7722))
% 218.59/218.73 [773]~E(x7731,x7732)+E(f816(x7731,x7733),f816(x7732,x7733))
% 218.59/218.73 [774]~E(x7741,x7742)+E(f816(x7743,x7741),f816(x7743,x7742))
% 218.59/218.73 [775]~E(x7751,x7752)+E(f683(x7751,x7753),f683(x7752,x7753))
% 218.59/218.73 [776]~E(x7761,x7762)+E(f683(x7763,x7761),f683(x7763,x7762))
% 218.59/218.73 [777]~E(x7771,x7772)+E(f615(x7771,x7773,x7774,x7775,x7776),f615(x7772,x7773,x7774,x7775,x7776))
% 218.59/218.73 [778]~E(x7781,x7782)+E(f615(x7783,x7781,x7784,x7785,x7786),f615(x7783,x7782,x7784,x7785,x7786))
% 218.59/218.73 [779]~E(x7791,x7792)+E(f615(x7793,x7794,x7791,x7795,x7796),f615(x7793,x7794,x7792,x7795,x7796))
% 218.59/218.73 [780]~E(x7801,x7802)+E(f615(x7803,x7804,x7805,x7801,x7806),f615(x7803,x7804,x7805,x7802,x7806))
% 218.59/218.73 [781]~E(x7811,x7812)+E(f615(x7813,x7814,x7815,x7816,x7811),f615(x7813,x7814,x7815,x7816,x7812))
% 218.59/218.73 [782]~E(x7821,x7822)+E(f17(x7821,x7823),f17(x7822,x7823))
% 218.59/218.73 [783]~E(x7831,x7832)+E(f17(x7833,x7831),f17(x7833,x7832))
% 218.59/218.73 [784]~E(x7841,x7842)+E(f30(x7841,x7843),f30(x7842,x7843))
% 218.59/218.73 [785]~E(x7851,x7852)+E(f30(x7853,x7851),f30(x7853,x7852))
% 218.59/218.73 [786]~E(x7861,x7862)+E(f270(x7861),f270(x7862))
% 218.59/218.73 [787]~E(x7871,x7872)+E(f192(x7871,x7873,x7874,x7875),f192(x7872,x7873,x7874,x7875))
% 218.59/218.73 [788]~E(x7881,x7882)+E(f192(x7883,x7881,x7884,x7885),f192(x7883,x7882,x7884,x7885))
% 218.59/218.73 [789]~E(x7891,x7892)+E(f192(x7893,x7894,x7891,x7895),f192(x7893,x7894,x7892,x7895))
% 218.59/218.73 [790]~E(x7901,x7902)+E(f192(x7903,x7904,x7905,x7901),f192(x7903,x7904,x7905,x7902))
% 218.59/218.73 [791]~E(x7911,x7912)+E(f352(x7911,x7913,x7914,x7915,x7916),f352(x7912,x7913,x7914,x7915,x7916))
% 218.59/218.73 [792]~E(x7921,x7922)+E(f352(x7923,x7921,x7924,x7925,x7926),f352(x7923,x7922,x7924,x7925,x7926))
% 218.59/218.73 [793]~E(x7931,x7932)+E(f352(x7933,x7934,x7931,x7935,x7936),f352(x7933,x7934,x7932,x7935,x7936))
% 218.59/218.73 [794]~E(x7941,x7942)+E(f352(x7943,x7944,x7945,x7941,x7946),f352(x7943,x7944,x7945,x7942,x7946))
% 218.59/218.73 [795]~E(x7951,x7952)+E(f352(x7953,x7954,x7955,x7956,x7951),f352(x7953,x7954,x7955,x7956,x7952))
% 218.59/218.73 [796]~E(x7961,x7962)+E(f66(x7961,x7963,x7964),f66(x7962,x7963,x7964))
% 218.59/218.73 [797]~E(x7971,x7972)+E(f66(x7973,x7971,x7974),f66(x7973,x7972,x7974))
% 218.59/218.73 [798]~E(x7981,x7982)+E(f66(x7983,x7984,x7981),f66(x7983,x7984,x7982))
% 218.59/218.73 [799]~E(x7991,x7992)+E(f118(x7991),f118(x7992))
% 218.59/218.73 [800]~E(x8001,x8002)+E(f190(x8001,x8003,x8004,x8005),f190(x8002,x8003,x8004,x8005))
% 218.59/218.73 [801]~E(x8011,x8012)+E(f190(x8013,x8011,x8014,x8015),f190(x8013,x8012,x8014,x8015))
% 218.59/218.73 [802]~E(x8021,x8022)+E(f190(x8023,x8024,x8021,x8025),f190(x8023,x8024,x8022,x8025))
% 218.59/218.73 [803]~E(x8031,x8032)+E(f190(x8033,x8034,x8035,x8031),f190(x8033,x8034,x8035,x8032))
% 218.59/218.73 [804]~E(x8041,x8042)+E(f455(x8041,x8043),f455(x8042,x8043))
% 218.59/218.73 [805]~E(x8051,x8052)+E(f455(x8053,x8051),f455(x8053,x8052))
% 218.59/218.73 [806]~E(x8061,x8062)+E(f289(x8061,x8063,x8064,x8065,x8066),f289(x8062,x8063,x8064,x8065,x8066))
% 218.59/218.73 [807]~E(x8071,x8072)+E(f289(x8073,x8071,x8074,x8075,x8076),f289(x8073,x8072,x8074,x8075,x8076))
% 218.59/218.73 [808]~E(x8081,x8082)+E(f289(x8083,x8084,x8081,x8085,x8086),f289(x8083,x8084,x8082,x8085,x8086))
% 218.59/218.73 [809]~E(x8091,x8092)+E(f289(x8093,x8094,x8095,x8091,x8096),f289(x8093,x8094,x8095,x8092,x8096))
% 218.59/218.73 [810]~E(x8101,x8102)+E(f289(x8103,x8104,x8105,x8106,x8101),f289(x8103,x8104,x8105,x8106,x8102))
% 218.59/218.73 [811]~E(x8111,x8112)+E(f162(x8111,x8113,x8114),f162(x8112,x8113,x8114))
% 218.59/218.73 [812]~E(x8121,x8122)+E(f162(x8123,x8121,x8124),f162(x8123,x8122,x8124))
% 218.59/218.73 [813]~E(x8131,x8132)+E(f162(x8133,x8134,x8131),f162(x8133,x8134,x8132))
% 218.59/218.73 [814]~E(x8141,x8142)+E(f670(x8141,x8143,x8144,x8145,x8146),f670(x8142,x8143,x8144,x8145,x8146))
% 218.59/218.73 [815]~E(x8151,x8152)+E(f670(x8153,x8151,x8154,x8155,x8156),f670(x8153,x8152,x8154,x8155,x8156))
% 218.59/218.73 [816]~E(x8161,x8162)+E(f670(x8163,x8164,x8161,x8165,x8166),f670(x8163,x8164,x8162,x8165,x8166))
% 218.59/218.73 [817]~E(x8171,x8172)+E(f670(x8173,x8174,x8175,x8171,x8176),f670(x8173,x8174,x8175,x8172,x8176))
% 218.59/218.73 [818]~E(x8181,x8182)+E(f670(x8183,x8184,x8185,x8186,x8181),f670(x8183,x8184,x8185,x8186,x8182))
% 218.59/218.73 [819]~E(x8191,x8192)+E(f286(x8191,x8193,x8194,x8195,x8196),f286(x8192,x8193,x8194,x8195,x8196))
% 218.59/218.73 [820]~E(x8201,x8202)+E(f286(x8203,x8201,x8204,x8205,x8206),f286(x8203,x8202,x8204,x8205,x8206))
% 218.59/218.73 [821]~E(x8211,x8212)+E(f286(x8213,x8214,x8211,x8215,x8216),f286(x8213,x8214,x8212,x8215,x8216))
% 218.59/218.73 [822]~E(x8221,x8222)+E(f286(x8223,x8224,x8225,x8221,x8226),f286(x8223,x8224,x8225,x8222,x8226))
% 218.59/218.73 [823]~E(x8231,x8232)+E(f286(x8233,x8234,x8235,x8236,x8231),f286(x8233,x8234,x8235,x8236,x8232))
% 218.59/218.73 [824]~E(x8241,x8242)+E(f124(x8241,x8243),f124(x8242,x8243))
% 218.59/218.73 [825]~E(x8251,x8252)+E(f124(x8253,x8251),f124(x8253,x8252))
% 218.59/218.73 [826]~E(x8261,x8262)+E(f504(x8261,x8263,x8264,x8265,x8266,x8267),f504(x8262,x8263,x8264,x8265,x8266,x8267))
% 218.59/218.73 [827]~E(x8271,x8272)+E(f504(x8273,x8271,x8274,x8275,x8276,x8277),f504(x8273,x8272,x8274,x8275,x8276,x8277))
% 218.59/218.73 [828]~E(x8281,x8282)+E(f504(x8283,x8284,x8281,x8285,x8286,x8287),f504(x8283,x8284,x8282,x8285,x8286,x8287))
% 218.59/218.73 [829]~E(x8291,x8292)+E(f504(x8293,x8294,x8295,x8291,x8296,x8297),f504(x8293,x8294,x8295,x8292,x8296,x8297))
% 218.59/218.73 [830]~E(x8301,x8302)+E(f504(x8303,x8304,x8305,x8306,x8301,x8307),f504(x8303,x8304,x8305,x8306,x8302,x8307))
% 218.59/218.73 [831]~E(x8311,x8312)+E(f504(x8313,x8314,x8315,x8316,x8317,x8311),f504(x8313,x8314,x8315,x8316,x8317,x8312))
% 218.59/218.73 [832]~E(x8321,x8322)+E(f209(x8321,x8323),f209(x8322,x8323))
% 218.59/218.73 [833]~E(x8331,x8332)+E(f209(x8333,x8331),f209(x8333,x8332))
% 218.59/218.73 [834]~E(x8341,x8342)+E(f40(x8341),f40(x8342))
% 218.59/218.73 [835]~E(x8351,x8352)+E(f736(x8351,x8353,x8354),f736(x8352,x8353,x8354))
% 218.59/218.73 [836]~E(x8361,x8362)+E(f736(x8363,x8361,x8364),f736(x8363,x8362,x8364))
% 218.59/218.73 [837]~E(x8371,x8372)+E(f736(x8373,x8374,x8371),f736(x8373,x8374,x8372))
% 218.59/218.73 [838]~E(x8381,x8382)+E(f239(x8381,x8383),f239(x8382,x8383))
% 218.59/218.73 [839]~E(x8391,x8392)+E(f239(x8393,x8391),f239(x8393,x8392))
% 218.59/218.73 [840]~E(x8401,x8402)+E(f872(x8401,x8403),f872(x8402,x8403))
% 218.59/218.73 [841]~E(x8411,x8412)+E(f872(x8413,x8411),f872(x8413,x8412))
% 218.59/218.73 [842]~E(x8421,x8422)+E(f294(x8421,x8423,x8424),f294(x8422,x8423,x8424))
% 218.59/218.73 [843]~E(x8431,x8432)+E(f294(x8433,x8431,x8434),f294(x8433,x8432,x8434))
% 218.59/218.73 [844]~E(x8441,x8442)+E(f294(x8443,x8444,x8441),f294(x8443,x8444,x8442))
% 218.59/218.73 [845]~E(x8451,x8452)+E(f244(x8451,x8453,x8454,x8455,x8456),f244(x8452,x8453,x8454,x8455,x8456))
% 218.59/218.73 [846]~E(x8461,x8462)+E(f244(x8463,x8461,x8464,x8465,x8466),f244(x8463,x8462,x8464,x8465,x8466))
% 218.59/218.73 [847]~E(x8471,x8472)+E(f244(x8473,x8474,x8471,x8475,x8476),f244(x8473,x8474,x8472,x8475,x8476))
% 218.59/218.73 [848]~E(x8481,x8482)+E(f244(x8483,x8484,x8485,x8481,x8486),f244(x8483,x8484,x8485,x8482,x8486))
% 218.59/218.73 [849]~E(x8491,x8492)+E(f244(x8493,x8494,x8495,x8496,x8491),f244(x8493,x8494,x8495,x8496,x8492))
% 218.59/218.73 [850]~E(x8501,x8502)+E(f776(x8501,x8503,x8504),f776(x8502,x8503,x8504))
% 218.59/218.73 [851]~E(x8511,x8512)+E(f776(x8513,x8511,x8514),f776(x8513,x8512,x8514))
% 218.59/218.73 [852]~E(x8521,x8522)+E(f776(x8523,x8524,x8521),f776(x8523,x8524,x8522))
% 218.59/218.73 [853]~E(x8531,x8532)+E(f841(x8531,x8533,x8534,x8535),f841(x8532,x8533,x8534,x8535))
% 218.59/218.73 [854]~E(x8541,x8542)+E(f841(x8543,x8541,x8544,x8545),f841(x8543,x8542,x8544,x8545))
% 218.59/218.73 [855]~E(x8551,x8552)+E(f841(x8553,x8554,x8551,x8555),f841(x8553,x8554,x8552,x8555))
% 218.59/218.73 [856]~E(x8561,x8562)+E(f841(x8563,x8564,x8565,x8561),f841(x8563,x8564,x8565,x8562))
% 218.59/218.73 [857]~E(x8571,x8572)+E(f610(x8571,x8573),f610(x8572,x8573))
% 218.59/218.73 [858]~E(x8581,x8582)+E(f610(x8583,x8581),f610(x8583,x8582))
% 218.59/218.73 [859]~E(x8591,x8592)+E(f49(x8591,x8593),f49(x8592,x8593))
% 218.59/218.73 [860]~E(x8601,x8602)+E(f49(x8603,x8601),f49(x8603,x8602))
% 218.59/218.73 [861]~E(x8611,x8612)+E(f345(x8611,x8613,x8614,x8615),f345(x8612,x8613,x8614,x8615))
% 218.59/218.73 [862]~E(x8621,x8622)+E(f345(x8623,x8621,x8624,x8625),f345(x8623,x8622,x8624,x8625))
% 218.59/218.73 [863]~E(x8631,x8632)+E(f345(x8633,x8634,x8631,x8635),f345(x8633,x8634,x8632,x8635))
% 218.59/218.73 [864]~E(x8641,x8642)+E(f345(x8643,x8644,x8645,x8641),f345(x8643,x8644,x8645,x8642))
% 218.59/218.73 [865]~E(x8651,x8652)+E(f262(x8651,x8653,x8654,x8655),f262(x8652,x8653,x8654,x8655))
% 218.59/218.73 [866]~E(x8661,x8662)+E(f262(x8663,x8661,x8664,x8665),f262(x8663,x8662,x8664,x8665))
% 218.59/218.73 [867]~E(x8671,x8672)+E(f262(x8673,x8674,x8671,x8675),f262(x8673,x8674,x8672,x8675))
% 218.59/218.73 [868]~E(x8681,x8682)+E(f262(x8683,x8684,x8685,x8681),f262(x8683,x8684,x8685,x8682))
% 218.59/218.73 [869]~E(x8691,x8692)+E(f362(x8691,x8693,x8694,x8695,x8696),f362(x8692,x8693,x8694,x8695,x8696))
% 218.59/218.73 [870]~E(x8701,x8702)+E(f362(x8703,x8701,x8704,x8705,x8706),f362(x8703,x8702,x8704,x8705,x8706))
% 218.59/218.73 [871]~E(x8711,x8712)+E(f362(x8713,x8714,x8711,x8715,x8716),f362(x8713,x8714,x8712,x8715,x8716))
% 218.59/218.73 [872]~E(x8721,x8722)+E(f362(x8723,x8724,x8725,x8721,x8726),f362(x8723,x8724,x8725,x8722,x8726))
% 218.59/218.73 [873]~E(x8731,x8732)+E(f362(x8733,x8734,x8735,x8736,x8731),f362(x8733,x8734,x8735,x8736,x8732))
% 218.59/218.73 [874]~E(x8741,x8742)+E(f788(x8741,x8743,x8744,x8745),f788(x8742,x8743,x8744,x8745))
% 218.59/218.73 [875]~E(x8751,x8752)+E(f788(x8753,x8751,x8754,x8755),f788(x8753,x8752,x8754,x8755))
% 218.59/218.73 [876]~E(x8761,x8762)+E(f788(x8763,x8764,x8761,x8765),f788(x8763,x8764,x8762,x8765))
% 218.59/218.73 [877]~E(x8771,x8772)+E(f788(x8773,x8774,x8775,x8771),f788(x8773,x8774,x8775,x8772))
% 218.59/218.73 [878]~E(x8781,x8782)+E(f720(x8781,x8783),f720(x8782,x8783))
% 218.59/218.73 [879]~E(x8791,x8792)+E(f720(x8793,x8791),f720(x8793,x8792))
% 218.59/218.73 [880]~E(x8801,x8802)+E(f186(x8801,x8803),f186(x8802,x8803))
% 218.59/218.73 [881]~E(x8811,x8812)+E(f186(x8813,x8811),f186(x8813,x8812))
% 218.59/218.73 [882]~E(x8821,x8822)+E(f431(x8821,x8823,x8824),f431(x8822,x8823,x8824))
% 218.59/218.73 [883]~E(x8831,x8832)+E(f431(x8833,x8831,x8834),f431(x8833,x8832,x8834))
% 218.59/218.73 [884]~E(x8841,x8842)+E(f431(x8843,x8844,x8841),f431(x8843,x8844,x8842))
% 218.59/218.73 [885]~E(x8851,x8852)+E(f115(x8851,x8853),f115(x8852,x8853))
% 218.59/218.73 [886]~E(x8861,x8862)+E(f115(x8863,x8861),f115(x8863,x8862))
% 218.59/218.73 [887]~E(x8871,x8872)+E(f139(x8871,x8873),f139(x8872,x8873))
% 218.59/218.73 [888]~E(x8881,x8882)+E(f139(x8883,x8881),f139(x8883,x8882))
% 218.59/218.73 [889]~E(x8891,x8892)+E(f56(x8891),f56(x8892))
% 218.59/218.73 [890]~E(x8901,x8902)+E(f257(x8901,x8903),f257(x8902,x8903))
% 218.59/218.73 [891]~E(x8911,x8912)+E(f257(x8913,x8911),f257(x8913,x8912))
% 218.59/218.73 [892]~E(x8921,x8922)+E(f287(x8921,x8923,x8924),f287(x8922,x8923,x8924))
% 218.59/218.73 [893]~E(x8931,x8932)+E(f287(x8933,x8931,x8934),f287(x8933,x8932,x8934))
% 218.59/218.73 [894]~E(x8941,x8942)+E(f287(x8943,x8944,x8941),f287(x8943,x8944,x8942))
% 218.59/218.73 [895]~E(x8951,x8952)+E(f410(x8951,x8953),f410(x8952,x8953))
% 218.59/218.73 [896]~E(x8961,x8962)+E(f410(x8963,x8961),f410(x8963,x8962))
% 218.59/218.73 [897]~E(x8971,x8972)+E(f427(x8971,x8973,x8974),f427(x8972,x8973,x8974))
% 218.59/218.73 [898]~E(x8981,x8982)+E(f427(x8983,x8981,x8984),f427(x8983,x8982,x8984))
% 218.59/218.73 [899]~E(x8991,x8992)+E(f427(x8993,x8994,x8991),f427(x8993,x8994,x8992))
% 218.59/218.73 [900]~E(x9001,x9002)+E(f847(x9001,x9003,x9004),f847(x9002,x9003,x9004))
% 218.59/218.73 [901]~E(x9011,x9012)+E(f847(x9013,x9011,x9014),f847(x9013,x9012,x9014))
% 218.59/218.73 [902]~E(x9021,x9022)+E(f847(x9023,x9024,x9021),f847(x9023,x9024,x9022))
% 218.59/218.73 [903]~E(x9031,x9032)+E(f458(x9031,x9033,x9034,x9035),f458(x9032,x9033,x9034,x9035))
% 218.59/218.73 [904]~E(x9041,x9042)+E(f458(x9043,x9041,x9044,x9045),f458(x9043,x9042,x9044,x9045))
% 218.59/218.73 [905]~E(x9051,x9052)+E(f458(x9053,x9054,x9051,x9055),f458(x9053,x9054,x9052,x9055))
% 218.59/218.73 [906]~E(x9061,x9062)+E(f458(x9063,x9064,x9065,x9061),f458(x9063,x9064,x9065,x9062))
% 218.59/218.73 [907]~E(x9071,x9072)+E(f595(x9071,x9073,x9074,x9075,x9076),f595(x9072,x9073,x9074,x9075,x9076))
% 218.59/218.73 [908]~E(x9081,x9082)+E(f595(x9083,x9081,x9084,x9085,x9086),f595(x9083,x9082,x9084,x9085,x9086))
% 218.59/218.73 [909]~E(x9091,x9092)+E(f595(x9093,x9094,x9091,x9095,x9096),f595(x9093,x9094,x9092,x9095,x9096))
% 218.59/218.73 [910]~E(x9101,x9102)+E(f595(x9103,x9104,x9105,x9101,x9106),f595(x9103,x9104,x9105,x9102,x9106))
% 218.59/218.73 [911]~E(x9111,x9112)+E(f595(x9113,x9114,x9115,x9116,x9111),f595(x9113,x9114,x9115,x9116,x9112))
% 218.59/218.73 [912]~E(x9121,x9122)+E(f573(x9121,x9123),f573(x9122,x9123))
% 218.59/218.73 [913]~E(x9131,x9132)+E(f573(x9133,x9131),f573(x9133,x9132))
% 218.59/218.73 [914]~E(x9141,x9142)+E(f112(x9141,x9143,x9144),f112(x9142,x9143,x9144))
% 218.59/218.73 [915]~E(x9151,x9152)+E(f112(x9153,x9151,x9154),f112(x9153,x9152,x9154))
% 218.59/218.73 [916]~E(x9161,x9162)+E(f112(x9163,x9164,x9161),f112(x9163,x9164,x9162))
% 218.59/218.73 [917]~E(x9171,x9172)+E(f634(x9171,x9173,x9174,x9175,x9176),f634(x9172,x9173,x9174,x9175,x9176))
% 218.59/218.73 [918]~E(x9181,x9182)+E(f634(x9183,x9181,x9184,x9185,x9186),f634(x9183,x9182,x9184,x9185,x9186))
% 218.59/218.73 [919]~E(x9191,x9192)+E(f634(x9193,x9194,x9191,x9195,x9196),f634(x9193,x9194,x9192,x9195,x9196))
% 218.59/218.73 [920]~E(x9201,x9202)+E(f634(x9203,x9204,x9205,x9201,x9206),f634(x9203,x9204,x9205,x9202,x9206))
% 218.59/218.73 [921]~E(x9211,x9212)+E(f634(x9213,x9214,x9215,x9216,x9211),f634(x9213,x9214,x9215,x9216,x9212))
% 218.59/218.73 [922]~E(x9221,x9222)+E(f346(x9221,x9223,x9224,x9225),f346(x9222,x9223,x9224,x9225))
% 218.59/218.73 [923]~E(x9231,x9232)+E(f346(x9233,x9231,x9234,x9235),f346(x9233,x9232,x9234,x9235))
% 218.59/218.73 [924]~E(x9241,x9242)+E(f346(x9243,x9244,x9241,x9245),f346(x9243,x9244,x9242,x9245))
% 218.59/218.73 [925]~E(x9251,x9252)+E(f346(x9253,x9254,x9255,x9251),f346(x9253,x9254,x9255,x9252))
% 218.59/218.73 [926]~E(x9261,x9262)+E(f177(x9261,x9263,x9264,x9265),f177(x9262,x9263,x9264,x9265))
% 218.59/218.73 [927]~E(x9271,x9272)+E(f177(x9273,x9271,x9274,x9275),f177(x9273,x9272,x9274,x9275))
% 218.59/218.73 [928]~E(x9281,x9282)+E(f177(x9283,x9284,x9281,x9285),f177(x9283,x9284,x9282,x9285))
% 218.59/218.73 [929]~E(x9291,x9292)+E(f177(x9293,x9294,x9295,x9291),f177(x9293,x9294,x9295,x9292))
% 218.59/218.73 [930]~E(x9301,x9302)+E(f685(x9301,x9303,x9304),f685(x9302,x9303,x9304))
% 218.59/218.73 [931]~E(x9311,x9312)+E(f685(x9313,x9311,x9314),f685(x9313,x9312,x9314))
% 218.59/218.73 [932]~E(x9321,x9322)+E(f685(x9323,x9324,x9321),f685(x9323,x9324,x9322))
% 218.59/218.73 [933]~E(x9331,x9332)+E(f375(x9331,x9333,x9334,x9335),f375(x9332,x9333,x9334,x9335))
% 218.59/218.73 [934]~E(x9341,x9342)+E(f375(x9343,x9341,x9344,x9345),f375(x9343,x9342,x9344,x9345))
% 218.59/218.73 [935]~E(x9351,x9352)+E(f375(x9353,x9354,x9351,x9355),f375(x9353,x9354,x9352,x9355))
% 218.59/218.73 [936]~E(x9361,x9362)+E(f375(x9363,x9364,x9365,x9361),f375(x9363,x9364,x9365,x9362))
% 218.59/218.73 [937]~E(x9371,x9372)+E(f168(x9371,x9373,x9374),f168(x9372,x9373,x9374))
% 218.59/218.73 [938]~E(x9381,x9382)+E(f168(x9383,x9381,x9384),f168(x9383,x9382,x9384))
% 218.59/218.73 [939]~E(x9391,x9392)+E(f168(x9393,x9394,x9391),f168(x9393,x9394,x9392))
% 218.59/218.73 [940]~E(x9401,x9402)+E(f717(x9401,x9403,x9404),f717(x9402,x9403,x9404))
% 218.59/218.73 [941]~E(x9411,x9412)+E(f717(x9413,x9411,x9414),f717(x9413,x9412,x9414))
% 218.59/218.73 [942]~E(x9421,x9422)+E(f717(x9423,x9424,x9421),f717(x9423,x9424,x9422))
% 218.59/218.73 [943]~E(x9431,x9432)+E(f268(x9431,x9433,x9434,x9435),f268(x9432,x9433,x9434,x9435))
% 218.59/218.73 [944]~E(x9441,x9442)+E(f268(x9443,x9441,x9444,x9445),f268(x9443,x9442,x9444,x9445))
% 218.59/218.73 [945]~E(x9451,x9452)+E(f268(x9453,x9454,x9451,x9455),f268(x9453,x9454,x9452,x9455))
% 218.59/218.73 [946]~E(x9461,x9462)+E(f268(x9463,x9464,x9465,x9461),f268(x9463,x9464,x9465,x9462))
% 218.59/218.73 [947]~E(x9471,x9472)+E(f637(x9471,x9473,x9474,x9475),f637(x9472,x9473,x9474,x9475))
% 218.59/218.73 [948]~E(x9481,x9482)+E(f637(x9483,x9481,x9484,x9485),f637(x9483,x9482,x9484,x9485))
% 218.59/218.73 [949]~E(x9491,x9492)+E(f637(x9493,x9494,x9491,x9495),f637(x9493,x9494,x9492,x9495))
% 218.59/218.73 [950]~E(x9501,x9502)+E(f637(x9503,x9504,x9505,x9501),f637(x9503,x9504,x9505,x9502))
% 218.59/218.73 [951]~E(x9511,x9512)+E(f489(x9511,x9513,x9514,x9515),f489(x9512,x9513,x9514,x9515))
% 218.59/218.73 [952]~E(x9521,x9522)+E(f489(x9523,x9521,x9524,x9525),f489(x9523,x9522,x9524,x9525))
% 218.59/218.73 [953]~E(x9531,x9532)+E(f489(x9533,x9534,x9531,x9535),f489(x9533,x9534,x9532,x9535))
% 218.59/218.73 [954]~E(x9541,x9542)+E(f489(x9543,x9544,x9545,x9541),f489(x9543,x9544,x9545,x9542))
% 218.59/218.73 [955]~E(x9551,x9552)+E(f638(x9551,x9553,x9554,x9555),f638(x9552,x9553,x9554,x9555))
% 218.59/218.73 [956]~E(x9561,x9562)+E(f638(x9563,x9561,x9564,x9565),f638(x9563,x9562,x9564,x9565))
% 218.59/218.73 [957]~E(x9571,x9572)+E(f638(x9573,x9574,x9571,x9575),f638(x9573,x9574,x9572,x9575))
% 218.59/218.73 [958]~E(x9581,x9582)+E(f638(x9583,x9584,x9585,x9581),f638(x9583,x9584,x9585,x9582))
% 218.59/218.73 [959]~E(x9591,x9592)+E(f878(x9591,x9593,x9594,x9595),f878(x9592,x9593,x9594,x9595))
% 218.59/218.73 [960]~E(x9601,x9602)+E(f878(x9603,x9601,x9604,x9605),f878(x9603,x9602,x9604,x9605))
% 218.59/218.73 [961]~E(x9611,x9612)+E(f878(x9613,x9614,x9611,x9615),f878(x9613,x9614,x9612,x9615))
% 218.59/218.73 [962]~E(x9621,x9622)+E(f878(x9623,x9624,x9625,x9621),f878(x9623,x9624,x9625,x9622))
% 218.59/218.73 [963]~E(x9631,x9632)+E(f155(x9631,x9633,x9634,x9635),f155(x9632,x9633,x9634,x9635))
% 218.59/218.73 [964]~E(x9641,x9642)+E(f155(x9643,x9641,x9644,x9645),f155(x9643,x9642,x9644,x9645))
% 218.59/218.73 [965]~E(x9651,x9652)+E(f155(x9653,x9654,x9651,x9655),f155(x9653,x9654,x9652,x9655))
% 218.59/218.73 [966]~E(x9661,x9662)+E(f155(x9663,x9664,x9665,x9661),f155(x9663,x9664,x9665,x9662))
% 218.59/218.73 [967]~E(x9671,x9672)+E(f684(x9671,x9673),f684(x9672,x9673))
% 218.59/218.73 [968]~E(x9681,x9682)+E(f684(x9683,x9681),f684(x9683,x9682))
% 218.59/218.73 [969]~E(x9691,x9692)+E(f52(x9691,x9693),f52(x9692,x9693))
% 218.59/218.73 [970]~E(x9701,x9702)+E(f52(x9703,x9701),f52(x9703,x9702))
% 218.59/218.73 [971]~E(x9711,x9712)+E(f269(x9711,x9713,x9714,x9715),f269(x9712,x9713,x9714,x9715))
% 218.59/218.73 [972]~E(x9721,x9722)+E(f269(x9723,x9721,x9724,x9725),f269(x9723,x9722,x9724,x9725))
% 218.59/218.73 [973]~E(x9731,x9732)+E(f269(x9733,x9734,x9731,x9735),f269(x9733,x9734,x9732,x9735))
% 218.59/218.73 [974]~E(x9741,x9742)+E(f269(x9743,x9744,x9745,x9741),f269(x9743,x9744,x9745,x9742))
% 218.59/218.73 [975]~E(x9751,x9752)+E(f184(x9751,x9753,x9754,x9755),f184(x9752,x9753,x9754,x9755))
% 218.59/218.73 [976]~E(x9761,x9762)+E(f184(x9763,x9761,x9764,x9765),f184(x9763,x9762,x9764,x9765))
% 218.59/218.73 [977]~E(x9771,x9772)+E(f184(x9773,x9774,x9771,x9775),f184(x9773,x9774,x9772,x9775))
% 218.59/218.73 [978]~E(x9781,x9782)+E(f184(x9783,x9784,x9785,x9781),f184(x9783,x9784,x9785,x9782))
% 218.59/218.73 [979]~E(x9791,x9792)+E(f53(x9791,x9793),f53(x9792,x9793))
% 218.59/218.73 [980]~E(x9801,x9802)+E(f53(x9803,x9801),f53(x9803,x9802))
% 218.59/218.73 [981]~E(x9811,x9812)+E(f123(x9811,x9813,x9814,x9815),f123(x9812,x9813,x9814,x9815))
% 218.59/218.73 [982]~E(x9821,x9822)+E(f123(x9823,x9821,x9824,x9825),f123(x9823,x9822,x9824,x9825))
% 218.59/218.73 [983]~E(x9831,x9832)+E(f123(x9833,x9834,x9831,x9835),f123(x9833,x9834,x9832,x9835))
% 218.59/218.73 [984]~E(x9841,x9842)+E(f123(x9843,x9844,x9845,x9841),f123(x9843,x9844,x9845,x9842))
% 218.59/218.73 [985]~E(x9851,x9852)+E(f358(x9851,x9853),f358(x9852,x9853))
% 218.59/218.73 [986]~E(x9861,x9862)+E(f358(x9863,x9861),f358(x9863,x9862))
% 218.59/218.73 [987]~E(x9871,x9872)+E(f473(x9871,x9873),f473(x9872,x9873))
% 218.59/218.73 [988]~E(x9881,x9882)+E(f473(x9883,x9881),f473(x9883,x9882))
% 218.59/218.73 [989]~E(x9891,x9892)+E(f552(x9891,x9893,x9894),f552(x9892,x9893,x9894))
% 218.59/218.73 [990]~E(x9901,x9902)+E(f552(x9903,x9901,x9904),f552(x9903,x9902,x9904))
% 218.59/218.73 [991]~E(x9911,x9912)+E(f552(x9913,x9914,x9911),f552(x9913,x9914,x9912))
% 218.59/218.73 [992]~E(x9921,x9922)+E(f285(x9921,x9923,x9924),f285(x9922,x9923,x9924))
% 218.59/218.73 [993]~E(x9931,x9932)+E(f285(x9933,x9931,x9934),f285(x9933,x9932,x9934))
% 218.59/218.73 [994]~E(x9941,x9942)+E(f285(x9943,x9944,x9941),f285(x9943,x9944,x9942))
% 218.59/218.73 [995]~E(x9951,x9952)+E(f562(x9951,x9953,x9954),f562(x9952,x9953,x9954))
% 218.59/218.73 [996]~E(x9961,x9962)+E(f562(x9963,x9961,x9964),f562(x9963,x9962,x9964))
% 218.59/218.73 [997]~E(x9971,x9972)+E(f562(x9973,x9974,x9971),f562(x9973,x9974,x9972))
% 218.59/218.73 [998]~E(x9981,x9982)+E(f399(x9981,x9983,x9984,x9985),f399(x9982,x9983,x9984,x9985))
% 218.59/218.73 [999]~E(x9991,x9992)+E(f399(x9993,x9991,x9994,x9995),f399(x9993,x9992,x9994,x9995))
% 218.59/218.73 [1000]~E(x10001,x10002)+E(f399(x10003,x10004,x10001,x10005),f399(x10003,x10004,x10002,x10005))
% 218.59/218.73 [1001]~E(x10011,x10012)+E(f399(x10013,x10014,x10015,x10011),f399(x10013,x10014,x10015,x10012))
% 218.59/218.73 [1002]~E(x10021,x10022)+E(f710(x10021,x10023,x10024,x10025),f710(x10022,x10023,x10024,x10025))
% 218.59/218.73 [1003]~E(x10031,x10032)+E(f710(x10033,x10031,x10034,x10035),f710(x10033,x10032,x10034,x10035))
% 218.59/218.73 [1004]~E(x10041,x10042)+E(f710(x10043,x10044,x10041,x10045),f710(x10043,x10044,x10042,x10045))
% 218.59/218.73 [1005]~E(x10051,x10052)+E(f710(x10053,x10054,x10055,x10051),f710(x10053,x10054,x10055,x10052))
% 218.59/218.73 [1006]~E(x10061,x10062)+E(f438(x10061,x10063,x10064),f438(x10062,x10063,x10064))
% 218.59/218.73 [1007]~E(x10071,x10072)+E(f438(x10073,x10071,x10074),f438(x10073,x10072,x10074))
% 218.59/218.73 [1008]~E(x10081,x10082)+E(f438(x10083,x10084,x10081),f438(x10083,x10084,x10082))
% 218.59/218.73 [1009]~E(x10091,x10092)+E(f820(x10091,x10093),f820(x10092,x10093))
% 218.59/218.73 [1010]~E(x10101,x10102)+E(f820(x10103,x10101),f820(x10103,x10102))
% 218.59/218.73 [1011]~E(x10111,x10112)+E(f703(x10111,x10113,x10114),f703(x10112,x10113,x10114))
% 218.59/218.73 [1012]~E(x10121,x10122)+E(f703(x10123,x10121,x10124),f703(x10123,x10122,x10124))
% 218.59/218.73 [1013]~E(x10131,x10132)+E(f703(x10133,x10134,x10131),f703(x10133,x10134,x10132))
% 218.59/218.73 [1014]~E(x10141,x10142)+E(f534(x10141,x10143),f534(x10142,x10143))
% 218.59/218.73 [1015]~E(x10151,x10152)+E(f534(x10153,x10151),f534(x10153,x10152))
% 218.59/218.73 [1016]~E(x10161,x10162)+E(f829(x10161,x10163,x10164),f829(x10162,x10163,x10164))
% 218.59/218.73 [1017]~E(x10171,x10172)+E(f829(x10173,x10171,x10174),f829(x10173,x10172,x10174))
% 218.59/218.73 [1018]~E(x10181,x10182)+E(f829(x10183,x10184,x10181),f829(x10183,x10184,x10182))
% 218.59/218.73 [1019]~E(x10191,x10192)+E(f784(x10191,x10193,x10194),f784(x10192,x10193,x10194))
% 218.59/218.73 [1020]~E(x10201,x10202)+E(f784(x10203,x10201,x10204),f784(x10203,x10202,x10204))
% 218.59/218.73 [1021]~E(x10211,x10212)+E(f784(x10213,x10214,x10211),f784(x10213,x10214,x10212))
% 218.59/218.73 [1022]~E(x10221,x10222)+E(f611(x10221,x10223),f611(x10222,x10223))
% 218.59/218.73 [1023]~E(x10231,x10232)+E(f611(x10233,x10231),f611(x10233,x10232))
% 218.59/218.73 [1024]~E(x10241,x10242)+E(f246(x10241,x10243,x10244,x10245),f246(x10242,x10243,x10244,x10245))
% 218.59/218.73 [1025]~E(x10251,x10252)+E(f246(x10253,x10251,x10254,x10255),f246(x10253,x10252,x10254,x10255))
% 218.59/218.73 [1026]~E(x10261,x10262)+E(f246(x10263,x10264,x10261,x10265),f246(x10263,x10264,x10262,x10265))
% 218.59/218.73 [1027]~E(x10271,x10272)+E(f246(x10273,x10274,x10275,x10271),f246(x10273,x10274,x10275,x10272))
% 218.59/218.73 [1028]~E(x10281,x10282)+E(f178(x10281),f178(x10282))
% 218.59/218.73 [1029]~E(x10291,x10292)+E(f540(x10291,x10293,x10294,x10295),f540(x10292,x10293,x10294,x10295))
% 218.59/218.73 [1030]~E(x10301,x10302)+E(f540(x10303,x10301,x10304,x10305),f540(x10303,x10302,x10304,x10305))
% 218.59/218.73 [1031]~E(x10311,x10312)+E(f540(x10313,x10314,x10311,x10315),f540(x10313,x10314,x10312,x10315))
% 218.59/218.73 [1032]~E(x10321,x10322)+E(f540(x10323,x10324,x10325,x10321),f540(x10323,x10324,x10325,x10322))
% 218.59/218.73 [1033]~E(x10331,x10332)+E(f288(x10331,x10333,x10334,x10335),f288(x10332,x10333,x10334,x10335))
% 218.59/218.73 [1034]~E(x10341,x10342)+E(f288(x10343,x10341,x10344,x10345),f288(x10343,x10342,x10344,x10345))
% 218.59/218.73 [1035]~E(x10351,x10352)+E(f288(x10353,x10354,x10351,x10355),f288(x10353,x10354,x10352,x10355))
% 218.59/218.73 [1036]~E(x10361,x10362)+E(f288(x10363,x10364,x10365,x10361),f288(x10363,x10364,x10365,x10362))
% 218.59/218.73 [1037]~E(x10371,x10372)+E(f628(x10371,x10373,x10374),f628(x10372,x10373,x10374))
% 218.59/218.73 [1038]~E(x10381,x10382)+E(f628(x10383,x10381,x10384),f628(x10383,x10382,x10384))
% 218.59/218.73 [1039]~E(x10391,x10392)+E(f628(x10393,x10394,x10391),f628(x10393,x10394,x10392))
% 218.59/218.73 [1040]~E(x10401,x10402)+E(f519(x10401,x10403,x10404),f519(x10402,x10403,x10404))
% 218.59/218.73 [1041]~E(x10411,x10412)+E(f519(x10413,x10411,x10414),f519(x10413,x10412,x10414))
% 218.59/218.73 [1042]~E(x10421,x10422)+E(f519(x10423,x10424,x10421),f519(x10423,x10424,x10422))
% 218.59/218.73 [1043]~E(x10431,x10432)+E(f701(x10431,x10433,x10434),f701(x10432,x10433,x10434))
% 218.59/218.73 [1044]~E(x10441,x10442)+E(f701(x10443,x10441,x10444),f701(x10443,x10442,x10444))
% 218.59/218.73 [1045]~E(x10451,x10452)+E(f701(x10453,x10454,x10451),f701(x10453,x10454,x10452))
% 218.59/218.73 [1046]~E(x10461,x10462)+E(f626(x10461,x10463,x10464),f626(x10462,x10463,x10464))
% 218.59/218.73 [1047]~E(x10471,x10472)+E(f626(x10473,x10471,x10474),f626(x10473,x10472,x10474))
% 218.59/218.73 [1048]~E(x10481,x10482)+E(f626(x10483,x10484,x10481),f626(x10483,x10484,x10482))
% 218.59/218.73 [1049]~E(x10491,x10492)+E(f265(x10491,x10493,x10494,x10495),f265(x10492,x10493,x10494,x10495))
% 218.59/218.73 [1050]~E(x10501,x10502)+E(f265(x10503,x10501,x10504,x10505),f265(x10503,x10502,x10504,x10505))
% 218.59/218.73 [1051]~E(x10511,x10512)+E(f265(x10513,x10514,x10511,x10515),f265(x10513,x10514,x10512,x10515))
% 218.59/218.73 [1052]~E(x10521,x10522)+E(f265(x10523,x10524,x10525,x10521),f265(x10523,x10524,x10525,x10522))
% 218.59/218.73 [1053]~E(x10531,x10532)+E(f376(x10531,x10533,x10534,x10535,x10536),f376(x10532,x10533,x10534,x10535,x10536))
% 218.59/218.73 [1054]~E(x10541,x10542)+E(f376(x10543,x10541,x10544,x10545,x10546),f376(x10543,x10542,x10544,x10545,x10546))
% 218.59/218.73 [1055]~E(x10551,x10552)+E(f376(x10553,x10554,x10551,x10555,x10556),f376(x10553,x10554,x10552,x10555,x10556))
% 218.59/218.73 [1056]~E(x10561,x10562)+E(f376(x10563,x10564,x10565,x10561,x10566),f376(x10563,x10564,x10565,x10562,x10566))
% 218.59/218.73 [1057]~E(x10571,x10572)+E(f376(x10573,x10574,x10575,x10576,x10571),f376(x10573,x10574,x10575,x10576,x10572))
% 218.59/218.73 [1058]~E(x10581,x10582)+E(f339(x10581,x10583,x10584,x10585,x10586),f339(x10582,x10583,x10584,x10585,x10586))
% 218.59/218.73 [1059]~E(x10591,x10592)+E(f339(x10593,x10591,x10594,x10595,x10596),f339(x10593,x10592,x10594,x10595,x10596))
% 218.59/218.73 [1060]~E(x10601,x10602)+E(f339(x10603,x10604,x10601,x10605,x10606),f339(x10603,x10604,x10602,x10605,x10606))
% 218.59/218.73 [1061]~E(x10611,x10612)+E(f339(x10613,x10614,x10615,x10611,x10616),f339(x10613,x10614,x10615,x10612,x10616))
% 218.59/218.73 [1062]~E(x10621,x10622)+E(f339(x10623,x10624,x10625,x10626,x10621),f339(x10623,x10624,x10625,x10626,x10622))
% 218.59/218.73 [1063]~E(x10631,x10632)+E(f798(x10631,x10633,x10634),f798(x10632,x10633,x10634))
% 218.59/218.73 [1064]~E(x10641,x10642)+E(f798(x10643,x10641,x10644),f798(x10643,x10642,x10644))
% 218.59/218.73 [1065]~E(x10651,x10652)+E(f798(x10653,x10654,x10651),f798(x10653,x10654,x10652))
% 218.59/218.73 [1066]~E(x10661,x10662)+E(f351(x10661,x10663,x10664,x10665,x10666),f351(x10662,x10663,x10664,x10665,x10666))
% 218.59/218.73 [1067]~E(x10671,x10672)+E(f351(x10673,x10671,x10674,x10675,x10676),f351(x10673,x10672,x10674,x10675,x10676))
% 218.59/218.73 [1068]~E(x10681,x10682)+E(f351(x10683,x10684,x10681,x10685,x10686),f351(x10683,x10684,x10682,x10685,x10686))
% 218.59/218.73 [1069]~E(x10691,x10692)+E(f351(x10693,x10694,x10695,x10691,x10696),f351(x10693,x10694,x10695,x10692,x10696))
% 218.59/218.73 [1070]~E(x10701,x10702)+E(f351(x10703,x10704,x10705,x10706,x10701),f351(x10703,x10704,x10705,x10706,x10702))
% 218.59/218.73 [1071]~E(x10711,x10712)+E(f500(x10711,x10713,x10714,x10715),f500(x10712,x10713,x10714,x10715))
% 218.59/218.73 [1072]~E(x10721,x10722)+E(f500(x10723,x10721,x10724,x10725),f500(x10723,x10722,x10724,x10725))
% 218.59/218.73 [1073]~E(x10731,x10732)+E(f500(x10733,x10734,x10731,x10735),f500(x10733,x10734,x10732,x10735))
% 218.59/218.73 [1074]~E(x10741,x10742)+E(f500(x10743,x10744,x10745,x10741),f500(x10743,x10744,x10745,x10742))
% 218.59/218.73 [1075]~E(x10751,x10752)+E(f172(x10751),f172(x10752))
% 218.59/218.73 [1076]~E(x10761,x10762)+E(f584(x10761,x10763,x10764,x10765,x10766,x10767),f584(x10762,x10763,x10764,x10765,x10766,x10767))
% 218.59/218.73 [1077]~E(x10771,x10772)+E(f584(x10773,x10771,x10774,x10775,x10776,x10777),f584(x10773,x10772,x10774,x10775,x10776,x10777))
% 218.59/218.73 [1078]~E(x10781,x10782)+E(f584(x10783,x10784,x10781,x10785,x10786,x10787),f584(x10783,x10784,x10782,x10785,x10786,x10787))
% 218.59/218.73 [1079]~E(x10791,x10792)+E(f584(x10793,x10794,x10795,x10791,x10796,x10797),f584(x10793,x10794,x10795,x10792,x10796,x10797))
% 218.59/218.73 [1080]~E(x10801,x10802)+E(f584(x10803,x10804,x10805,x10806,x10801,x10807),f584(x10803,x10804,x10805,x10806,x10802,x10807))
% 218.59/218.73 [1081]~E(x10811,x10812)+E(f584(x10813,x10814,x10815,x10816,x10817,x10811),f584(x10813,x10814,x10815,x10816,x10817,x10812))
% 218.59/218.73 [1082]~E(x10821,x10822)+E(f582(x10821,x10823,x10824,x10825),f582(x10822,x10823,x10824,x10825))
% 218.59/218.73 [1083]~E(x10831,x10832)+E(f582(x10833,x10831,x10834,x10835),f582(x10833,x10832,x10834,x10835))
% 218.59/218.73 [1084]~E(x10841,x10842)+E(f582(x10843,x10844,x10841,x10845),f582(x10843,x10844,x10842,x10845))
% 218.59/218.73 [1085]~E(x10851,x10852)+E(f582(x10853,x10854,x10855,x10851),f582(x10853,x10854,x10855,x10852))
% 218.59/218.73 [1086]~E(x10861,x10862)+E(f855(x10861,x10863,x10864),f855(x10862,x10863,x10864))
% 218.59/218.73 [1087]~E(x10871,x10872)+E(f855(x10873,x10871,x10874),f855(x10873,x10872,x10874))
% 218.59/218.73 [1088]~E(x10881,x10882)+E(f855(x10883,x10884,x10881),f855(x10883,x10884,x10882))
% 218.59/218.73 [1089]~E(x10891,x10892)+E(f870(x10891,x10893),f870(x10892,x10893))
% 218.59/218.73 [1090]~E(x10901,x10902)+E(f870(x10903,x10901),f870(x10903,x10902))
% 218.59/218.73 [1091]~E(x10911,x10912)+E(f845(x10911,x10913,x10914),f845(x10912,x10913,x10914))
% 218.59/218.73 [1092]~E(x10921,x10922)+E(f845(x10923,x10921,x10924),f845(x10923,x10922,x10924))
% 218.59/218.73 [1093]~E(x10931,x10932)+E(f845(x10933,x10934,x10931),f845(x10933,x10934,x10932))
% 218.59/218.73 [1094]~E(x10941,x10942)+E(f846(x10941,x10943,x10944),f846(x10942,x10943,x10944))
% 218.59/218.73 [1095]~E(x10951,x10952)+E(f846(x10953,x10951,x10954),f846(x10953,x10952,x10954))
% 218.59/218.73 [1096]~E(x10961,x10962)+E(f846(x10963,x10964,x10961),f846(x10963,x10964,x10962))
% 218.59/218.73 [1097]~E(x10971,x10972)+E(f135(x10971,x10973),f135(x10972,x10973))
% 218.59/218.73 [1098]~E(x10981,x10982)+E(f135(x10983,x10981),f135(x10983,x10982))
% 218.59/218.73 [1099]~E(x10991,x10992)+E(f679(x10991,x10993,x10994,x10995,x10996),f679(x10992,x10993,x10994,x10995,x10996))
% 218.59/218.73 [1100]~E(x11001,x11002)+E(f679(x11003,x11001,x11004,x11005,x11006),f679(x11003,x11002,x11004,x11005,x11006))
% 218.59/218.73 [1101]~E(x11011,x11012)+E(f679(x11013,x11014,x11011,x11015,x11016),f679(x11013,x11014,x11012,x11015,x11016))
% 218.59/218.73 [1102]~E(x11021,x11022)+E(f679(x11023,x11024,x11025,x11021,x11026),f679(x11023,x11024,x11025,x11022,x11026))
% 218.59/218.73 [1103]~E(x11031,x11032)+E(f679(x11033,x11034,x11035,x11036,x11031),f679(x11033,x11034,x11035,x11036,x11032))
% 218.59/218.73 [1104]~E(x11041,x11042)+E(f188(x11041,x11043),f188(x11042,x11043))
% 218.59/218.73 [1105]~E(x11051,x11052)+E(f188(x11053,x11051),f188(x11053,x11052))
% 218.59/218.73 [1106]~E(x11061,x11062)+E(f43(x11061),f43(x11062))
% 218.59/218.73 [1107]~E(x11071,x11072)+E(f366(x11071,x11073,x11074),f366(x11072,x11073,x11074))
% 218.59/218.73 [1108]~E(x11081,x11082)+E(f366(x11083,x11081,x11084),f366(x11083,x11082,x11084))
% 218.59/218.73 [1109]~E(x11091,x11092)+E(f366(x11093,x11094,x11091),f366(x11093,x11094,x11092))
% 218.59/218.73 [1110]~E(x11101,x11102)+E(f176(x11101,x11103,x11104),f176(x11102,x11103,x11104))
% 218.59/218.73 [1111]~E(x11111,x11112)+E(f176(x11113,x11111,x11114),f176(x11113,x11112,x11114))
% 218.59/218.73 [1112]~E(x11121,x11122)+E(f176(x11123,x11124,x11121),f176(x11123,x11124,x11122))
% 218.59/218.73 [1113]~E(x11131,x11132)+E(f369(x11131,x11133),f369(x11132,x11133))
% 218.59/218.73 [1114]~E(x11141,x11142)+E(f369(x11143,x11141),f369(x11143,x11142))
% 218.59/218.73 [1115]~E(x11151,x11152)+E(f749(x11151,x11153,x11154),f749(x11152,x11153,x11154))
% 218.59/218.73 [1116]~E(x11161,x11162)+E(f749(x11163,x11161,x11164),f749(x11163,x11162,x11164))
% 218.59/218.73 [1117]~E(x11171,x11172)+E(f749(x11173,x11174,x11171),f749(x11173,x11174,x11172))
% 218.59/218.73 [1118]~E(x11181,x11182)+E(f478(x11181,x11183,x11184,x11185),f478(x11182,x11183,x11184,x11185))
% 218.59/218.73 [1119]~E(x11191,x11192)+E(f478(x11193,x11191,x11194,x11195),f478(x11193,x11192,x11194,x11195))
% 218.59/218.73 [1120]~E(x11201,x11202)+E(f478(x11203,x11204,x11201,x11205),f478(x11203,x11204,x11202,x11205))
% 218.59/218.73 [1121]~E(x11211,x11212)+E(f478(x11213,x11214,x11215,x11211),f478(x11213,x11214,x11215,x11212))
% 218.59/218.73 [1122]~E(x11221,x11222)+E(f367(x11221,x11223,x11224,x11225),f367(x11222,x11223,x11224,x11225))
% 218.59/218.73 [1123]~E(x11231,x11232)+E(f367(x11233,x11231,x11234,x11235),f367(x11233,x11232,x11234,x11235))
% 218.59/218.73 [1124]~E(x11241,x11242)+E(f367(x11243,x11244,x11241,x11245),f367(x11243,x11244,x11242,x11245))
% 218.59/218.73 [1125]~E(x11251,x11252)+E(f367(x11253,x11254,x11255,x11251),f367(x11253,x11254,x11255,x11252))
% 218.59/218.73 [1126]~E(x11261,x11262)+E(f261(x11261,x11263),f261(x11262,x11263))
% 218.59/218.73 [1127]~E(x11271,x11272)+E(f261(x11273,x11271),f261(x11273,x11272))
% 218.59/218.73 [1128]~E(x11281,x11282)+E(f602(x11281,x11283,x11284,x11285,x11286,x11287,x11288),f602(x11282,x11283,x11284,x11285,x11286,x11287,x11288))
% 218.59/218.73 [1129]~E(x11291,x11292)+E(f602(x11293,x11291,x11294,x11295,x11296,x11297,x11298),f602(x11293,x11292,x11294,x11295,x11296,x11297,x11298))
% 218.59/218.73 [1130]~E(x11301,x11302)+E(f602(x11303,x11304,x11301,x11305,x11306,x11307,x11308),f602(x11303,x11304,x11302,x11305,x11306,x11307,x11308))
% 218.59/218.73 [1131]~E(x11311,x11312)+E(f602(x11313,x11314,x11315,x11311,x11316,x11317,x11318),f602(x11313,x11314,x11315,x11312,x11316,x11317,x11318))
% 218.59/218.73 [1132]~E(x11321,x11322)+E(f602(x11323,x11324,x11325,x11326,x11321,x11327,x11328),f602(x11323,x11324,x11325,x11326,x11322,x11327,x11328))
% 218.59/218.73 [1133]~E(x11331,x11332)+E(f602(x11333,x11334,x11335,x11336,x11337,x11331,x11338),f602(x11333,x11334,x11335,x11336,x11337,x11332,x11338))
% 218.59/218.73 [1134]~E(x11341,x11342)+E(f602(x11343,x11344,x11345,x11346,x11347,x11348,x11341),f602(x11343,x11344,x11345,x11346,x11347,x11348,x11342))
% 218.59/218.73 [1135]~E(x11351,x11352)+E(f193(x11351,x11353),f193(x11352,x11353))
% 218.59/218.73 [1136]~E(x11361,x11362)+E(f193(x11363,x11361),f193(x11363,x11362))
% 218.59/218.73 [1137]~E(x11371,x11372)+E(f459(x11371,x11373,x11374,x11375,x11376),f459(x11372,x11373,x11374,x11375,x11376))
% 218.59/218.73 [1138]~E(x11381,x11382)+E(f459(x11383,x11381,x11384,x11385,x11386),f459(x11383,x11382,x11384,x11385,x11386))
% 218.59/218.73 [1139]~E(x11391,x11392)+E(f459(x11393,x11394,x11391,x11395,x11396),f459(x11393,x11394,x11392,x11395,x11396))
% 218.59/218.73 [1140]~E(x11401,x11402)+E(f459(x11403,x11404,x11405,x11401,x11406),f459(x11403,x11404,x11405,x11402,x11406))
% 218.59/218.73 [1141]~E(x11411,x11412)+E(f459(x11413,x11414,x11415,x11416,x11411),f459(x11413,x11414,x11415,x11416,x11412))
% 218.59/218.73 [1142]~E(x11421,x11422)+E(f165(x11421,x11423,x11424),f165(x11422,x11423,x11424))
% 218.59/218.73 [1143]~E(x11431,x11432)+E(f165(x11433,x11431,x11434),f165(x11433,x11432,x11434))
% 218.59/218.73 [1144]~E(x11441,x11442)+E(f165(x11443,x11444,x11441),f165(x11443,x11444,x11442))
% 218.59/218.73 [1145]~E(x11451,x11452)+E(f333(x11451,x11453,x11454,x11455,x11456),f333(x11452,x11453,x11454,x11455,x11456))
% 218.59/218.73 [1146]~E(x11461,x11462)+E(f333(x11463,x11461,x11464,x11465,x11466),f333(x11463,x11462,x11464,x11465,x11466))
% 218.59/218.73 [1147]~E(x11471,x11472)+E(f333(x11473,x11474,x11471,x11475,x11476),f333(x11473,x11474,x11472,x11475,x11476))
% 218.59/218.73 [1148]~E(x11481,x11482)+E(f333(x11483,x11484,x11485,x11481,x11486),f333(x11483,x11484,x11485,x11482,x11486))
% 218.59/218.73 [1149]~E(x11491,x11492)+E(f333(x11493,x11494,x11495,x11496,x11491),f333(x11493,x11494,x11495,x11496,x11492))
% 218.59/218.73 [1150]~E(x11501,x11502)+E(f468(x11501,x11503,x11504,x11505,x11506),f468(x11502,x11503,x11504,x11505,x11506))
% 218.59/218.73 [1151]~E(x11511,x11512)+E(f468(x11513,x11511,x11514,x11515,x11516),f468(x11513,x11512,x11514,x11515,x11516))
% 218.59/218.73 [1152]~E(x11521,x11522)+E(f468(x11523,x11524,x11521,x11525,x11526),f468(x11523,x11524,x11522,x11525,x11526))
% 218.59/218.73 [1153]~E(x11531,x11532)+E(f468(x11533,x11534,x11535,x11531,x11536),f468(x11533,x11534,x11535,x11532,x11536))
% 218.59/218.73 [1154]~E(x11541,x11542)+E(f468(x11543,x11544,x11545,x11546,x11541),f468(x11543,x11544,x11545,x11546,x11542))
% 218.59/218.73 [1155]~E(x11551,x11552)+E(f510(x11551,x11553,x11554),f510(x11552,x11553,x11554))
% 218.59/218.73 [1156]~E(x11561,x11562)+E(f510(x11563,x11561,x11564),f510(x11563,x11562,x11564))
% 218.59/218.73 [1157]~E(x11571,x11572)+E(f510(x11573,x11574,x11571),f510(x11573,x11574,x11572))
% 218.59/218.73 [1158]~E(x11581,x11582)+E(f652(x11581,x11583,x11584),f652(x11582,x11583,x11584))
% 218.59/218.73 [1159]~E(x11591,x11592)+E(f652(x11593,x11591,x11594),f652(x11593,x11592,x11594))
% 218.59/218.73 [1160]~E(x11601,x11602)+E(f652(x11603,x11604,x11601),f652(x11603,x11604,x11602))
% 218.59/218.73 [1161]~E(x11611,x11612)+E(f416(x11611,x11613,x11614,x11615,x11616,x11617,x11618),f416(x11612,x11613,x11614,x11615,x11616,x11617,x11618))
% 218.59/218.73 [1162]~E(x11621,x11622)+E(f416(x11623,x11621,x11624,x11625,x11626,x11627,x11628),f416(x11623,x11622,x11624,x11625,x11626,x11627,x11628))
% 218.59/218.73 [1163]~E(x11631,x11632)+E(f416(x11633,x11634,x11631,x11635,x11636,x11637,x11638),f416(x11633,x11634,x11632,x11635,x11636,x11637,x11638))
% 218.59/218.73 [1164]~E(x11641,x11642)+E(f416(x11643,x11644,x11645,x11641,x11646,x11647,x11648),f416(x11643,x11644,x11645,x11642,x11646,x11647,x11648))
% 218.59/218.73 [1165]~E(x11651,x11652)+E(f416(x11653,x11654,x11655,x11656,x11651,x11657,x11658),f416(x11653,x11654,x11655,x11656,x11652,x11657,x11658))
% 218.59/218.73 [1166]~E(x11661,x11662)+E(f416(x11663,x11664,x11665,x11666,x11667,x11661,x11668),f416(x11663,x11664,x11665,x11666,x11667,x11662,x11668))
% 218.59/218.73 [1167]~E(x11671,x11672)+E(f416(x11673,x11674,x11675,x11676,x11677,x11678,x11671),f416(x11673,x11674,x11675,x11676,x11677,x11678,x11672))
% 218.59/218.73 [1168]~E(x11681,x11682)+E(f486(x11681,x11683,x11684),f486(x11682,x11683,x11684))
% 218.59/218.73 [1169]~E(x11691,x11692)+E(f486(x11693,x11691,x11694),f486(x11693,x11692,x11694))
% 218.59/218.73 [1170]~E(x11701,x11702)+E(f486(x11703,x11704,x11701),f486(x11703,x11704,x11702))
% 218.59/218.73 [1171]~E(x11711,x11712)+E(f738(x11711,x11713,x11714,x11715),f738(x11712,x11713,x11714,x11715))
% 218.59/218.73 [1172]~E(x11721,x11722)+E(f738(x11723,x11721,x11724,x11725),f738(x11723,x11722,x11724,x11725))
% 218.59/218.73 [1173]~E(x11731,x11732)+E(f738(x11733,x11734,x11731,x11735),f738(x11733,x11734,x11732,x11735))
% 218.59/218.73 [1174]~E(x11741,x11742)+E(f738(x11743,x11744,x11745,x11741),f738(x11743,x11744,x11745,x11742))
% 218.59/218.73 [1175]~E(x11751,x11752)+E(f476(x11751,x11753,x11754,x11755),f476(x11752,x11753,x11754,x11755))
% 218.59/218.73 [1176]~E(x11761,x11762)+E(f476(x11763,x11761,x11764,x11765),f476(x11763,x11762,x11764,x11765))
% 218.59/218.73 [1177]~E(x11771,x11772)+E(f476(x11773,x11774,x11771,x11775),f476(x11773,x11774,x11772,x11775))
% 218.59/218.73 [1178]~E(x11781,x11782)+E(f476(x11783,x11784,x11785,x11781),f476(x11783,x11784,x11785,x11782))
% 218.59/218.73 [1179]~E(x11791,x11792)+E(f783(x11791,x11793,x11794),f783(x11792,x11793,x11794))
% 218.59/218.73 [1180]~E(x11801,x11802)+E(f783(x11803,x11801,x11804),f783(x11803,x11802,x11804))
% 218.59/218.73 [1181]~E(x11811,x11812)+E(f783(x11813,x11814,x11811),f783(x11813,x11814,x11812))
% 218.59/218.73 [1182]~E(x11821,x11822)+E(f579(x11821,x11823,x11824,x11825),f579(x11822,x11823,x11824,x11825))
% 218.59/218.73 [1183]~E(x11831,x11832)+E(f579(x11833,x11831,x11834,x11835),f579(x11833,x11832,x11834,x11835))
% 218.59/218.73 [1184]~E(x11841,x11842)+E(f579(x11843,x11844,x11841,x11845),f579(x11843,x11844,x11842,x11845))
% 218.59/218.73 [1185]~E(x11851,x11852)+E(f579(x11853,x11854,x11855,x11851),f579(x11853,x11854,x11855,x11852))
% 218.59/218.73 [1186]~E(x11861,x11862)+E(f649(x11861,x11863,x11864),f649(x11862,x11863,x11864))
% 218.59/218.73 [1187]~E(x11871,x11872)+E(f649(x11873,x11871,x11874),f649(x11873,x11872,x11874))
% 218.59/218.73 [1188]~E(x11881,x11882)+E(f649(x11883,x11884,x11881),f649(x11883,x11884,x11882))
% 218.59/218.73 [1189]~E(x11891,x11892)+E(f641(x11891,x11893,x11894,x11895,x11896),f641(x11892,x11893,x11894,x11895,x11896))
% 218.59/218.73 [1190]~E(x11901,x11902)+E(f641(x11903,x11901,x11904,x11905,x11906),f641(x11903,x11902,x11904,x11905,x11906))
% 218.59/218.73 [1191]~E(x11911,x11912)+E(f641(x11913,x11914,x11911,x11915,x11916),f641(x11913,x11914,x11912,x11915,x11916))
% 218.59/218.73 [1192]~E(x11921,x11922)+E(f641(x11923,x11924,x11925,x11921,x11926),f641(x11923,x11924,x11925,x11922,x11926))
% 218.59/218.73 [1193]~E(x11931,x11932)+E(f641(x11933,x11934,x11935,x11936,x11931),f641(x11933,x11934,x11935,x11936,x11932))
% 218.59/218.73 [1194]~E(x11941,x11942)+E(f256(x11941,x11943,x11944),f256(x11942,x11943,x11944))
% 218.59/218.73 [1195]~E(x11951,x11952)+E(f256(x11953,x11951,x11954),f256(x11953,x11952,x11954))
% 218.59/218.73 [1196]~E(x11961,x11962)+E(f256(x11963,x11964,x11961),f256(x11963,x11964,x11962))
% 218.59/218.73 [1197]~E(x11971,x11972)+E(f451(x11971,x11973,x11974,x11975,x11976),f451(x11972,x11973,x11974,x11975,x11976))
% 218.59/218.73 [1198]~E(x11981,x11982)+E(f451(x11983,x11981,x11984,x11985,x11986),f451(x11983,x11982,x11984,x11985,x11986))
% 218.59/218.73 [1199]~E(x11991,x11992)+E(f451(x11993,x11994,x11991,x11995,x11996),f451(x11993,x11994,x11992,x11995,x11996))
% 218.59/218.73 [1200]~E(x12001,x12002)+E(f451(x12003,x12004,x12005,x12001,x12006),f451(x12003,x12004,x12005,x12002,x12006))
% 218.59/218.73 [1201]~E(x12011,x12012)+E(f451(x12013,x12014,x12015,x12016,x12011),f451(x12013,x12014,x12015,x12016,x12012))
% 218.59/218.73 [1202]~E(x12021,x12022)+E(f409(x12021,x12023),f409(x12022,x12023))
% 218.59/218.73 [1203]~E(x12031,x12032)+E(f409(x12033,x12031),f409(x12033,x12032))
% 218.59/218.73 [1204]~E(x12041,x12042)+E(f111(x12041,x12043,x12044),f111(x12042,x12043,x12044))
% 218.59/218.73 [1205]~E(x12051,x12052)+E(f111(x12053,x12051,x12054),f111(x12053,x12052,x12054))
% 218.59/218.73 [1206]~E(x12061,x12062)+E(f111(x12063,x12064,x12061),f111(x12063,x12064,x12062))
% 218.59/218.73 [1207]~E(x12071,x12072)+E(f446(x12071,x12073,x12074,x12075,x12076),f446(x12072,x12073,x12074,x12075,x12076))
% 218.59/218.73 [1208]~E(x12081,x12082)+E(f446(x12083,x12081,x12084,x12085,x12086),f446(x12083,x12082,x12084,x12085,x12086))
% 218.59/218.73 [1209]~E(x12091,x12092)+E(f446(x12093,x12094,x12091,x12095,x12096),f446(x12093,x12094,x12092,x12095,x12096))
% 218.59/218.73 [1210]~E(x12101,x12102)+E(f446(x12103,x12104,x12105,x12101,x12106),f446(x12103,x12104,x12105,x12102,x12106))
% 218.59/218.73 [1211]~E(x12111,x12112)+E(f446(x12113,x12114,x12115,x12116,x12111),f446(x12113,x12114,x12115,x12116,x12112))
% 218.59/218.73 [1212]~E(x12121,x12122)+E(f836(x12121,x12123),f836(x12122,x12123))
% 218.59/218.73 [1213]~E(x12131,x12132)+E(f836(x12133,x12131),f836(x12133,x12132))
% 218.59/218.73 [1214]~E(x12141,x12142)+E(f770(x12141,x12143,x12144),f770(x12142,x12143,x12144))
% 218.59/218.73 [1215]~E(x12151,x12152)+E(f770(x12153,x12151,x12154),f770(x12153,x12152,x12154))
% 218.59/218.73 [1216]~E(x12161,x12162)+E(f770(x12163,x12164,x12161),f770(x12163,x12164,x12162))
% 218.59/218.73 [1217]~E(x12171,x12172)+E(f869(x12171,x12173),f869(x12172,x12173))
% 218.59/218.73 [1218]~E(x12181,x12182)+E(f869(x12183,x12181),f869(x12183,x12182))
% 218.59/218.73 [1219]~E(x12191,x12192)+E(f795(x12191,x12193,x12194,x12195),f795(x12192,x12193,x12194,x12195))
% 218.59/218.73 [1220]~E(x12201,x12202)+E(f795(x12203,x12201,x12204,x12205),f795(x12203,x12202,x12204,x12205))
% 218.59/218.73 [1221]~E(x12211,x12212)+E(f795(x12213,x12214,x12211,x12215),f795(x12213,x12214,x12212,x12215))
% 218.59/218.73 [1222]~E(x12221,x12222)+E(f795(x12223,x12224,x12225,x12221),f795(x12223,x12224,x12225,x12222))
% 218.59/218.73 [1223]~E(x12231,x12232)+E(f725(x12231,x12233,x12234),f725(x12232,x12233,x12234))
% 218.59/218.73 [1224]~E(x12241,x12242)+E(f725(x12243,x12241,x12244),f725(x12243,x12242,x12244))
% 218.59/218.73 [1225]~E(x12251,x12252)+E(f725(x12253,x12254,x12251),f725(x12253,x12254,x12252))
% 218.59/218.73 [1226]~E(x12261,x12262)+E(f417(x12261,x12263),f417(x12262,x12263))
% 218.59/218.73 [1227]~E(x12271,x12272)+E(f417(x12273,x12271),f417(x12273,x12272))
% 218.59/218.73 [1228]~E(x12281,x12282)+E(f868(x12281,x12283),f868(x12282,x12283))
% 218.59/218.73 [1229]~E(x12291,x12292)+E(f868(x12293,x12291),f868(x12293,x12292))
% 218.59/218.73 [1230]~E(x12301,x12302)+E(f772(x12301,x12303,x12304),f772(x12302,x12303,x12304))
% 218.59/218.73 [1231]~E(x12311,x12312)+E(f772(x12313,x12311,x12314),f772(x12313,x12312,x12314))
% 218.59/218.73 [1232]~E(x12321,x12322)+E(f772(x12323,x12324,x12321),f772(x12323,x12324,x12322))
% 218.59/218.73 [1233]~E(x12331,x12332)+E(f548(x12331,x12333,x12334,x12335),f548(x12332,x12333,x12334,x12335))
% 218.59/218.73 [1234]~E(x12341,x12342)+E(f548(x12343,x12341,x12344,x12345),f548(x12343,x12342,x12344,x12345))
% 218.59/218.73 [1235]~E(x12351,x12352)+E(f548(x12353,x12354,x12351,x12355),f548(x12353,x12354,x12352,x12355))
% 218.59/218.73 [1236]~E(x12361,x12362)+E(f548(x12363,x12364,x12365,x12361),f548(x12363,x12364,x12365,x12362))
% 218.59/218.73 [1237]~E(x12371,x12372)+E(f205(x12371,x12373,x12374,x12375,x12376,x12377,x12378),f205(x12372,x12373,x12374,x12375,x12376,x12377,x12378))
% 218.59/218.73 [1238]~E(x12381,x12382)+E(f205(x12383,x12381,x12384,x12385,x12386,x12387,x12388),f205(x12383,x12382,x12384,x12385,x12386,x12387,x12388))
% 218.59/218.73 [1239]~E(x12391,x12392)+E(f205(x12393,x12394,x12391,x12395,x12396,x12397,x12398),f205(x12393,x12394,x12392,x12395,x12396,x12397,x12398))
% 218.59/218.73 [1240]~E(x12401,x12402)+E(f205(x12403,x12404,x12405,x12401,x12406,x12407,x12408),f205(x12403,x12404,x12405,x12402,x12406,x12407,x12408))
% 218.59/218.73 [1241]~E(x12411,x12412)+E(f205(x12413,x12414,x12415,x12416,x12411,x12417,x12418),f205(x12413,x12414,x12415,x12416,x12412,x12417,x12418))
% 218.59/218.73 [1242]~E(x12421,x12422)+E(f205(x12423,x12424,x12425,x12426,x12427,x12421,x12428),f205(x12423,x12424,x12425,x12426,x12427,x12422,x12428))
% 218.59/218.73 [1243]~E(x12431,x12432)+E(f205(x12433,x12434,x12435,x12436,x12437,x12438,x12431),f205(x12433,x12434,x12435,x12436,x12437,x12438,x12432))
% 218.59/218.73 [1244]~E(x12441,x12442)+E(f241(x12441,x12443,x12444),f241(x12442,x12443,x12444))
% 218.59/218.73 [1245]~E(x12451,x12452)+E(f241(x12453,x12451,x12454),f241(x12453,x12452,x12454))
% 218.59/218.73 [1246]~E(x12461,x12462)+E(f241(x12463,x12464,x12461),f241(x12463,x12464,x12462))
% 218.59/218.73 [1247]~E(x12471,x12472)+E(f324(x12471,x12473),f324(x12472,x12473))
% 218.59/218.73 [1248]~E(x12481,x12482)+E(f324(x12483,x12481),f324(x12483,x12482))
% 218.59/218.73 [1249]~E(x12491,x12492)+E(f471(x12491,x12493,x12494,x12495,x12496),f471(x12492,x12493,x12494,x12495,x12496))
% 218.59/218.73 [1250]~E(x12501,x12502)+E(f471(x12503,x12501,x12504,x12505,x12506),f471(x12503,x12502,x12504,x12505,x12506))
% 218.59/218.73 [1251]~E(x12511,x12512)+E(f471(x12513,x12514,x12511,x12515,x12516),f471(x12513,x12514,x12512,x12515,x12516))
% 218.59/218.73 [1252]~E(x12521,x12522)+E(f471(x12523,x12524,x12525,x12521,x12526),f471(x12523,x12524,x12525,x12522,x12526))
% 218.59/218.73 [1253]~E(x12531,x12532)+E(f471(x12533,x12534,x12535,x12536,x12531),f471(x12533,x12534,x12535,x12536,x12532))
% 218.59/218.73 [1254]~E(x12541,x12542)+E(f525(x12541,x12543,x12544,x12545,x12546,x12547,x12548),f525(x12542,x12543,x12544,x12545,x12546,x12547,x12548))
% 218.59/218.73 [1255]~E(x12551,x12552)+E(f525(x12553,x12551,x12554,x12555,x12556,x12557,x12558),f525(x12553,x12552,x12554,x12555,x12556,x12557,x12558))
% 218.59/218.73 [1256]~E(x12561,x12562)+E(f525(x12563,x12564,x12561,x12565,x12566,x12567,x12568),f525(x12563,x12564,x12562,x12565,x12566,x12567,x12568))
% 218.59/218.73 [1257]~E(x12571,x12572)+E(f525(x12573,x12574,x12575,x12571,x12576,x12577,x12578),f525(x12573,x12574,x12575,x12572,x12576,x12577,x12578))
% 218.59/218.73 [1258]~E(x12581,x12582)+E(f525(x12583,x12584,x12585,x12586,x12581,x12587,x12588),f525(x12583,x12584,x12585,x12586,x12582,x12587,x12588))
% 218.59/218.73 [1259]~E(x12591,x12592)+E(f525(x12593,x12594,x12595,x12596,x12597,x12591,x12598),f525(x12593,x12594,x12595,x12596,x12597,x12592,x12598))
% 218.59/218.73 [1260]~E(x12601,x12602)+E(f525(x12603,x12604,x12605,x12606,x12607,x12608,x12601),f525(x12603,x12604,x12605,x12606,x12607,x12608,x12602))
% 218.59/218.73 [1261]~E(x12611,x12612)+E(f700(x12611,x12613,x12614),f700(x12612,x12613,x12614))
% 218.59/218.73 [1262]~E(x12621,x12622)+E(f700(x12623,x12621,x12624),f700(x12623,x12622,x12624))
% 218.59/218.73 [1263]~E(x12631,x12632)+E(f700(x12633,x12634,x12631),f700(x12633,x12634,x12632))
% 218.59/218.73 [1264]~E(x12641,x12642)+E(f781(x12641,x12643,x12644),f781(x12642,x12643,x12644))
% 218.59/218.73 [1265]~E(x12651,x12652)+E(f781(x12653,x12651,x12654),f781(x12653,x12652,x12654))
% 218.59/218.73 [1266]~E(x12661,x12662)+E(f781(x12663,x12664,x12661),f781(x12663,x12664,x12662))
% 218.59/218.73 [1267]~E(x12671,x12672)+E(f633(x12671,x12673,x12674,x12675,x12676,x12677,x12678),f633(x12672,x12673,x12674,x12675,x12676,x12677,x12678))
% 218.59/218.73 [1268]~E(x12681,x12682)+E(f633(x12683,x12681,x12684,x12685,x12686,x12687,x12688),f633(x12683,x12682,x12684,x12685,x12686,x12687,x12688))
% 218.59/218.73 [1269]~E(x12691,x12692)+E(f633(x12693,x12694,x12691,x12695,x12696,x12697,x12698),f633(x12693,x12694,x12692,x12695,x12696,x12697,x12698))
% 218.59/218.73 [1270]~E(x12701,x12702)+E(f633(x12703,x12704,x12705,x12701,x12706,x12707,x12708),f633(x12703,x12704,x12705,x12702,x12706,x12707,x12708))
% 218.59/218.73 [1271]~E(x12711,x12712)+E(f633(x12713,x12714,x12715,x12716,x12711,x12717,x12718),f633(x12713,x12714,x12715,x12716,x12712,x12717,x12718))
% 218.59/218.73 [1272]~E(x12721,x12722)+E(f633(x12723,x12724,x12725,x12726,x12727,x12721,x12728),f633(x12723,x12724,x12725,x12726,x12727,x12722,x12728))
% 218.59/218.73 [1273]~E(x12731,x12732)+E(f633(x12733,x12734,x12735,x12736,x12737,x12738,x12731),f633(x12733,x12734,x12735,x12736,x12737,x12738,x12732))
% 218.59/218.73 [1274]~E(x12741,x12742)+E(f569(x12741,x12743,x12744,x12745,x12746,x12747),f569(x12742,x12743,x12744,x12745,x12746,x12747))
% 218.59/218.73 [1275]~E(x12751,x12752)+E(f569(x12753,x12751,x12754,x12755,x12756,x12757),f569(x12753,x12752,x12754,x12755,x12756,x12757))
% 218.59/218.73 [1276]~E(x12761,x12762)+E(f569(x12763,x12764,x12761,x12765,x12766,x12767),f569(x12763,x12764,x12762,x12765,x12766,x12767))
% 218.59/218.73 [1277]~E(x12771,x12772)+E(f569(x12773,x12774,x12775,x12771,x12776,x12777),f569(x12773,x12774,x12775,x12772,x12776,x12777))
% 218.59/218.73 [1278]~E(x12781,x12782)+E(f569(x12783,x12784,x12785,x12786,x12781,x12787),f569(x12783,x12784,x12785,x12786,x12782,x12787))
% 218.59/218.73 [1279]~E(x12791,x12792)+E(f569(x12793,x12794,x12795,x12796,x12797,x12791),f569(x12793,x12794,x12795,x12796,x12797,x12792))
% 218.59/218.73 [1280]~E(x12801,x12802)+E(f593(x12801,x12803),f593(x12802,x12803))
% 218.59/218.73 [1281]~E(x12811,x12812)+E(f593(x12813,x12811),f593(x12813,x12812))
% 218.59/218.73 [1282]~E(x12821,x12822)+E(f113(x12821,x12823,x12824),f113(x12822,x12823,x12824))
% 218.59/218.73 [1283]~E(x12831,x12832)+E(f113(x12833,x12831,x12834),f113(x12833,x12832,x12834))
% 218.59/218.73 [1284]~E(x12841,x12842)+E(f113(x12843,x12844,x12841),f113(x12843,x12844,x12842))
% 218.59/218.73 [1285]~E(x12851,x12852)+E(f618(x12851,x12853,x12854),f618(x12852,x12853,x12854))
% 218.59/218.73 [1286]~E(x12861,x12862)+E(f618(x12863,x12861,x12864),f618(x12863,x12862,x12864))
% 218.59/218.73 [1287]~E(x12871,x12872)+E(f618(x12873,x12874,x12871),f618(x12873,x12874,x12872))
% 218.59/218.73 [1288]~E(x12881,x12882)+E(f551(x12881,x12883,x12884),f551(x12882,x12883,x12884))
% 218.59/218.73 [1289]~E(x12891,x12892)+E(f551(x12893,x12891,x12894),f551(x12893,x12892,x12894))
% 218.59/218.73 [1290]~E(x12901,x12902)+E(f551(x12903,x12904,x12901),f551(x12903,x12904,x12902))
% 218.59/218.73 [1291]~E(x12911,x12912)+E(f589(x12911,x12913,x12914),f589(x12912,x12913,x12914))
% 218.59/218.73 [1292]~E(x12921,x12922)+E(f589(x12923,x12921,x12924),f589(x12923,x12922,x12924))
% 218.59/218.73 [1293]~E(x12931,x12932)+E(f589(x12933,x12934,x12931),f589(x12933,x12934,x12932))
% 218.59/218.73 [1294]~E(x12941,x12942)+E(f662(x12941,x12943,x12944,x12945,x12946,x12947),f662(x12942,x12943,x12944,x12945,x12946,x12947))
% 218.59/218.73 [1295]~E(x12951,x12952)+E(f662(x12953,x12951,x12954,x12955,x12956,x12957),f662(x12953,x12952,x12954,x12955,x12956,x12957))
% 218.59/218.73 [1296]~E(x12961,x12962)+E(f662(x12963,x12964,x12961,x12965,x12966,x12967),f662(x12963,x12964,x12962,x12965,x12966,x12967))
% 218.59/218.73 [1297]~E(x12971,x12972)+E(f662(x12973,x12974,x12975,x12971,x12976,x12977),f662(x12973,x12974,x12975,x12972,x12976,x12977))
% 218.59/218.73 [1298]~E(x12981,x12982)+E(f662(x12983,x12984,x12985,x12986,x12981,x12987),f662(x12983,x12984,x12985,x12986,x12982,x12987))
% 218.59/218.73 [1299]~E(x12991,x12992)+E(f662(x12993,x12994,x12995,x12996,x12997,x12991),f662(x12993,x12994,x12995,x12996,x12997,x12992))
% 218.59/218.73 [1300]~E(x13001,x13002)+E(f264(x13001,x13003),f264(x13002,x13003))
% 218.59/218.73 [1301]~E(x13011,x13012)+E(f264(x13013,x13011),f264(x13013,x13012))
% 218.59/218.73 [1302]~E(x13021,x13022)+E(f195(x13021),f195(x13022))
% 218.59/218.73 [1303]~E(x13031,x13032)+E(f373(x13031,x13033,x13034,x13035),f373(x13032,x13033,x13034,x13035))
% 218.59/218.73 [1304]~E(x13041,x13042)+E(f373(x13043,x13041,x13044,x13045),f373(x13043,x13042,x13044,x13045))
% 218.59/218.73 [1305]~E(x13051,x13052)+E(f373(x13053,x13054,x13051,x13055),f373(x13053,x13054,x13052,x13055))
% 218.59/218.73 [1306]~E(x13061,x13062)+E(f373(x13063,x13064,x13065,x13061),f373(x13063,x13064,x13065,x13062))
% 218.59/218.73 [1307]~E(x13071,x13072)+E(f839(x13071,x13073,x13074),f839(x13072,x13073,x13074))
% 218.59/218.73 [1308]~E(x13081,x13082)+E(f839(x13083,x13081,x13084),f839(x13083,x13082,x13084))
% 218.59/218.73 [1309]~E(x13091,x13092)+E(f839(x13093,x13094,x13091),f839(x13093,x13094,x13092))
% 218.59/218.73 [1310]~E(x13101,x13102)+E(f686(x13101,x13103,x13104,x13105,x13106),f686(x13102,x13103,x13104,x13105,x13106))
% 218.59/218.73 [1311]~E(x13111,x13112)+E(f686(x13113,x13111,x13114,x13115,x13116),f686(x13113,x13112,x13114,x13115,x13116))
% 218.59/218.73 [1312]~E(x13121,x13122)+E(f686(x13123,x13124,x13121,x13125,x13126),f686(x13123,x13124,x13122,x13125,x13126))
% 218.59/218.73 [1313]~E(x13131,x13132)+E(f686(x13133,x13134,x13135,x13131,x13136),f686(x13133,x13134,x13135,x13132,x13136))
% 218.59/218.73 [1314]~E(x13141,x13142)+E(f686(x13143,x13144,x13145,x13146,x13141),f686(x13143,x13144,x13145,x13146,x13142))
% 218.59/218.73 [1315]~E(x13151,x13152)+E(f695(x13151,x13153,x13154,x13155),f695(x13152,x13153,x13154,x13155))
% 218.59/218.73 [1316]~E(x13161,x13162)+E(f695(x13163,x13161,x13164,x13165),f695(x13163,x13162,x13164,x13165))
% 218.59/218.73 [1317]~E(x13171,x13172)+E(f695(x13173,x13174,x13171,x13175),f695(x13173,x13174,x13172,x13175))
% 218.59/218.73 [1318]~E(x13181,x13182)+E(f695(x13183,x13184,x13185,x13181),f695(x13183,x13184,x13185,x13182))
% 218.59/218.73 [1319]~E(x13191,x13192)+E(f383(x13191,x13193,x13194,x13195,x13196),f383(x13192,x13193,x13194,x13195,x13196))
% 218.59/218.73 [1320]~E(x13201,x13202)+E(f383(x13203,x13201,x13204,x13205,x13206),f383(x13203,x13202,x13204,x13205,x13206))
% 218.59/218.73 [1321]~E(x13211,x13212)+E(f383(x13213,x13214,x13211,x13215,x13216),f383(x13213,x13214,x13212,x13215,x13216))
% 218.59/218.73 [1322]~E(x13221,x13222)+E(f383(x13223,x13224,x13225,x13221,x13226),f383(x13223,x13224,x13225,x13222,x13226))
% 218.59/218.73 [1323]~E(x13231,x13232)+E(f383(x13233,x13234,x13235,x13236,x13231),f383(x13233,x13234,x13235,x13236,x13232))
% 218.59/218.73 [1324]~E(x13241,x13242)+E(f804(x13241,x13243,x13244),f804(x13242,x13243,x13244))
% 218.59/218.73 [1325]~E(x13251,x13252)+E(f804(x13253,x13251,x13254),f804(x13253,x13252,x13254))
% 218.59/218.73 [1326]~E(x13261,x13262)+E(f804(x13263,x13264,x13261),f804(x13263,x13264,x13262))
% 218.59/218.73 [1327]~E(x13271,x13272)+E(f645(x13271,x13273,x13274,x13275),f645(x13272,x13273,x13274,x13275))
% 218.59/218.73 [1328]~E(x13281,x13282)+E(f645(x13283,x13281,x13284,x13285),f645(x13283,x13282,x13284,x13285))
% 218.59/218.73 [1329]~E(x13291,x13292)+E(f645(x13293,x13294,x13291,x13295),f645(x13293,x13294,x13292,x13295))
% 218.59/218.73 [1330]~E(x13301,x13302)+E(f645(x13303,x13304,x13305,x13301),f645(x13303,x13304,x13305,x13302))
% 218.59/218.73 [1331]~E(x13311,x13312)+E(f640(x13311,x13313,x13314,x13315,x13316),f640(x13312,x13313,x13314,x13315,x13316))
% 218.59/218.73 [1332]~E(x13321,x13322)+E(f640(x13323,x13321,x13324,x13325,x13326),f640(x13323,x13322,x13324,x13325,x13326))
% 218.59/218.73 [1333]~E(x13331,x13332)+E(f640(x13333,x13334,x13331,x13335,x13336),f640(x13333,x13334,x13332,x13335,x13336))
% 218.59/218.73 [1334]~E(x13341,x13342)+E(f640(x13343,x13344,x13345,x13341,x13346),f640(x13343,x13344,x13345,x13342,x13346))
% 218.59/218.73 [1335]~E(x13351,x13352)+E(f640(x13353,x13354,x13355,x13356,x13351),f640(x13353,x13354,x13355,x13356,x13352))
% 218.59/218.73 [1336]~E(x13361,x13362)+E(f514(x13361,x13363,x13364),f514(x13362,x13363,x13364))
% 218.59/218.73 [1337]~E(x13371,x13372)+E(f514(x13373,x13371,x13374),f514(x13373,x13372,x13374))
% 218.59/218.73 [1338]~E(x13381,x13382)+E(f514(x13383,x13384,x13381),f514(x13383,x13384,x13382))
% 218.59/218.73 [1339]~E(x13391,x13392)+E(f429(x13391,x13393,x13394,x13395,x13396,x13397),f429(x13392,x13393,x13394,x13395,x13396,x13397))
% 218.59/218.73 [1340]~E(x13401,x13402)+E(f429(x13403,x13401,x13404,x13405,x13406,x13407),f429(x13403,x13402,x13404,x13405,x13406,x13407))
% 218.59/218.73 [1341]~E(x13411,x13412)+E(f429(x13413,x13414,x13411,x13415,x13416,x13417),f429(x13413,x13414,x13412,x13415,x13416,x13417))
% 218.59/218.73 [1342]~E(x13421,x13422)+E(f429(x13423,x13424,x13425,x13421,x13426,x13427),f429(x13423,x13424,x13425,x13422,x13426,x13427))
% 218.59/218.73 [1343]~E(x13431,x13432)+E(f429(x13433,x13434,x13435,x13436,x13431,x13437),f429(x13433,x13434,x13435,x13436,x13432,x13437))
% 218.59/218.73 [1344]~E(x13441,x13442)+E(f429(x13443,x13444,x13445,x13446,x13447,x13441),f429(x13443,x13444,x13445,x13446,x13447,x13442))
% 218.59/218.73 [1345]~E(x13451,x13452)+E(f479(x13451,x13453,x13454,x13455),f479(x13452,x13453,x13454,x13455))
% 218.59/218.73 [1346]~E(x13461,x13462)+E(f479(x13463,x13461,x13464,x13465),f479(x13463,x13462,x13464,x13465))
% 218.59/218.73 [1347]~E(x13471,x13472)+E(f479(x13473,x13474,x13471,x13475),f479(x13473,x13474,x13472,x13475))
% 218.59/218.73 [1348]~E(x13481,x13482)+E(f479(x13483,x13484,x13485,x13481),f479(x13483,x13484,x13485,x13482))
% 218.59/218.73 [1349]~E(x13491,x13492)+E(f475(x13491),f475(x13492))
% 218.59/218.73 [1350]~E(x13501,x13502)+E(f331(x13501,x13503,x13504,x13505,x13506),f331(x13502,x13503,x13504,x13505,x13506))
% 218.59/218.73 [1351]~E(x13511,x13512)+E(f331(x13513,x13511,x13514,x13515,x13516),f331(x13513,x13512,x13514,x13515,x13516))
% 218.59/218.73 [1352]~E(x13521,x13522)+E(f331(x13523,x13524,x13521,x13525,x13526),f331(x13523,x13524,x13522,x13525,x13526))
% 218.59/218.73 [1353]~E(x13531,x13532)+E(f331(x13533,x13534,x13535,x13531,x13536),f331(x13533,x13534,x13535,x13532,x13536))
% 218.59/218.73 [1354]~E(x13541,x13542)+E(f331(x13543,x13544,x13545,x13546,x13541),f331(x13543,x13544,x13545,x13546,x13542))
% 218.59/218.73 [1355]~E(x13551,x13552)+E(f449(x13551,x13553,x13554,x13555),f449(x13552,x13553,x13554,x13555))
% 218.59/218.73 [1356]~E(x13561,x13562)+E(f449(x13563,x13561,x13564,x13565),f449(x13563,x13562,x13564,x13565))
% 218.59/218.73 [1357]~E(x13571,x13572)+E(f449(x13573,x13574,x13571,x13575),f449(x13573,x13574,x13572,x13575))
% 218.59/218.73 [1358]~E(x13581,x13582)+E(f449(x13583,x13584,x13585,x13581),f449(x13583,x13584,x13585,x13582))
% 218.59/218.73 [1359]~E(x13591,x13592)+E(f394(x13591,x13593,x13594),f394(x13592,x13593,x13594))
% 218.59/218.73 [1360]~E(x13601,x13602)+E(f394(x13603,x13601,x13604),f394(x13603,x13602,x13604))
% 218.59/218.73 [1361]~E(x13611,x13612)+E(f394(x13613,x13614,x13611),f394(x13613,x13614,x13612))
% 218.59/218.73 [1362]~E(x13621,x13622)+E(f430(x13621,x13623,x13624),f430(x13622,x13623,x13624))
% 218.59/218.73 [1363]~E(x13631,x13632)+E(f430(x13633,x13631,x13634),f430(x13633,x13632,x13634))
% 218.59/218.73 [1364]~E(x13641,x13642)+E(f430(x13643,x13644,x13641),f430(x13643,x13644,x13642))
% 218.59/218.73 [1365]~E(x13651,x13652)+E(f515(x13651,x13653,x13654),f515(x13652,x13653,x13654))
% 218.59/218.73 [1366]~E(x13661,x13662)+E(f515(x13663,x13661,x13664),f515(x13663,x13662,x13664))
% 218.59/218.73 [1367]~E(x13671,x13672)+E(f515(x13673,x13674,x13671),f515(x13673,x13674,x13672))
% 218.59/218.73 [1368]~E(x13681,x13682)+E(f340(x13681,x13683,x13684,x13685,x13686,x13687,x13688,x13689),f340(x13682,x13683,x13684,x13685,x13686,x13687,x13688,x13689))
% 218.59/218.73 [1369]~E(x13691,x13692)+E(f340(x13693,x13691,x13694,x13695,x13696,x13697,x13698,x13699),f340(x13693,x13692,x13694,x13695,x13696,x13697,x13698,x13699))
% 218.59/218.73 [1370]~E(x13701,x13702)+E(f340(x13703,x13704,x13701,x13705,x13706,x13707,x13708,x13709),f340(x13703,x13704,x13702,x13705,x13706,x13707,x13708,x13709))
% 218.59/218.73 [1371]~E(x13711,x13712)+E(f340(x13713,x13714,x13715,x13711,x13716,x13717,x13718,x13719),f340(x13713,x13714,x13715,x13712,x13716,x13717,x13718,x13719))
% 218.59/218.73 [1372]~E(x13721,x13722)+E(f340(x13723,x13724,x13725,x13726,x13721,x13727,x13728,x13729),f340(x13723,x13724,x13725,x13726,x13722,x13727,x13728,x13729))
% 218.59/218.73 [1373]~E(x13731,x13732)+E(f340(x13733,x13734,x13735,x13736,x13737,x13731,x13738,x13739),f340(x13733,x13734,x13735,x13736,x13737,x13732,x13738,x13739))
% 218.59/218.73 [1374]~E(x13741,x13742)+E(f340(x13743,x13744,x13745,x13746,x13747,x13748,x13741,x13749),f340(x13743,x13744,x13745,x13746,x13747,x13748,x13742,x13749))
% 218.59/218.73 [1375]~E(x13751,x13752)+E(f340(x13753,x13754,x13755,x13756,x13757,x13758,x13759,x13751),f340(x13753,x13754,x13755,x13756,x13757,x13758,x13759,x13752))
% 218.59/218.73 [1376]~E(x13761,x13762)+E(f522(x13761,x13763,x13764,x13765,x13766),f522(x13762,x13763,x13764,x13765,x13766))
% 218.59/218.73 [1377]~E(x13771,x13772)+E(f522(x13773,x13771,x13774,x13775,x13776),f522(x13773,x13772,x13774,x13775,x13776))
% 218.59/218.73 [1378]~E(x13781,x13782)+E(f522(x13783,x13784,x13781,x13785,x13786),f522(x13783,x13784,x13782,x13785,x13786))
% 218.59/218.73 [1379]~E(x13791,x13792)+E(f522(x13793,x13794,x13795,x13791,x13796),f522(x13793,x13794,x13795,x13792,x13796))
% 218.59/218.73 [1380]~E(x13801,x13802)+E(f522(x13803,x13804,x13805,x13806,x13801),f522(x13803,x13804,x13805,x13806,x13802))
% 218.59/218.73 [1381]~E(x13811,x13812)+E(f440(x13811,x13813,x13814),f440(x13812,x13813,x13814))
% 218.59/218.73 [1382]~E(x13821,x13822)+E(f440(x13823,x13821,x13824),f440(x13823,x13822,x13824))
% 218.59/218.73 [1383]~E(x13831,x13832)+E(f440(x13833,x13834,x13831),f440(x13833,x13834,x13832))
% 218.59/218.73 [1384]~E(x13841,x13842)+E(f754(x13841,x13843),f754(x13842,x13843))
% 218.59/218.73 [1385]~E(x13851,x13852)+E(f754(x13853,x13851),f754(x13853,x13852))
% 218.59/218.73 [1386]~E(x13861,x13862)+E(f657(x13861,x13863,x13864),f657(x13862,x13863,x13864))
% 218.59/218.73 [1387]~E(x13871,x13872)+E(f657(x13873,x13871,x13874),f657(x13873,x13872,x13874))
% 218.59/218.73 [1388]~E(x13881,x13882)+E(f657(x13883,x13884,x13881),f657(x13883,x13884,x13882))
% 218.59/218.73 [1389]~E(x13891,x13892)+E(f654(x13891,x13893),f654(x13892,x13893))
% 218.59/218.73 [1390]~E(x13901,x13902)+E(f654(x13903,x13901),f654(x13903,x13902))
% 218.59/218.73 [1391]~E(x13911,x13912)+E(f574(x13911,x13913),f574(x13912,x13913))
% 218.59/218.73 [1392]~E(x13921,x13922)+E(f574(x13923,x13921),f574(x13923,x13922))
% 218.59/218.73 [1393]~E(x13931,x13932)+E(f349(x13931,x13933,x13934,x13935),f349(x13932,x13933,x13934,x13935))
% 218.59/218.73 [1394]~E(x13941,x13942)+E(f349(x13943,x13941,x13944,x13945),f349(x13943,x13942,x13944,x13945))
% 218.59/218.73 [1395]~E(x13951,x13952)+E(f349(x13953,x13954,x13951,x13955),f349(x13953,x13954,x13952,x13955))
% 218.59/218.73 [1396]~E(x13961,x13962)+E(f349(x13963,x13964,x13965,x13961),f349(x13963,x13964,x13965,x13962))
% 218.59/218.73 [1397]~E(x13971,x13972)+E(f563(x13971,x13973,x13974),f563(x13972,x13973,x13974))
% 218.59/218.73 [1398]~E(x13981,x13982)+E(f563(x13983,x13981,x13984),f563(x13983,x13982,x13984))
% 218.59/218.73 [1399]~E(x13991,x13992)+E(f563(x13993,x13994,x13991),f563(x13993,x13994,x13992))
% 218.59/218.73 [1400]~E(x14001,x14002)+E(f380(x14001,x14003),f380(x14002,x14003))
% 218.59/218.73 [1401]~E(x14011,x14012)+E(f380(x14013,x14011),f380(x14013,x14012))
% 218.59/218.73 [1402]~E(x14021,x14022)+E(f448(x14021,x14023,x14024,x14025),f448(x14022,x14023,x14024,x14025))
% 218.59/218.73 [1403]~E(x14031,x14032)+E(f448(x14033,x14031,x14034,x14035),f448(x14033,x14032,x14034,x14035))
% 218.59/218.73 [1404]~E(x14041,x14042)+E(f448(x14043,x14044,x14041,x14045),f448(x14043,x14044,x14042,x14045))
% 218.59/218.73 [1405]~E(x14051,x14052)+E(f448(x14053,x14054,x14055,x14051),f448(x14053,x14054,x14055,x14052))
% 218.59/218.73 [1406]~E(x14061,x14062)+E(f757(x14061,x14063,x14064),f757(x14062,x14063,x14064))
% 218.59/218.73 [1407]~E(x14071,x14072)+E(f757(x14073,x14071,x14074),f757(x14073,x14072,x14074))
% 218.59/218.73 [1408]~E(x14081,x14082)+E(f757(x14083,x14084,x14081),f757(x14083,x14084,x14082))
% 218.59/218.73 [1409]~E(x14091,x14092)+E(f692(x14091,x14093,x14094,x14095,x14096),f692(x14092,x14093,x14094,x14095,x14096))
% 218.59/218.73 [1410]~E(x14101,x14102)+E(f692(x14103,x14101,x14104,x14105,x14106),f692(x14103,x14102,x14104,x14105,x14106))
% 218.59/218.73 [1411]~E(x14111,x14112)+E(f692(x14113,x14114,x14111,x14115,x14116),f692(x14113,x14114,x14112,x14115,x14116))
% 218.59/218.73 [1412]~E(x14121,x14122)+E(f692(x14123,x14124,x14125,x14121,x14126),f692(x14123,x14124,x14125,x14122,x14126))
% 218.59/218.73 [1413]~E(x14131,x14132)+E(f692(x14133,x14134,x14135,x14136,x14131),f692(x14133,x14134,x14135,x14136,x14132))
% 218.59/218.73 [1414]~E(x14141,x14142)+E(f744(x14141,x14143),f744(x14142,x14143))
% 218.59/218.73 [1415]~E(x14151,x14152)+E(f744(x14153,x14151),f744(x14153,x14152))
% 218.59/218.73 [1416]~E(x14161,x14162)+E(f386(x14161,x14163,x14164,x14165),f386(x14162,x14163,x14164,x14165))
% 218.59/218.73 [1417]~E(x14171,x14172)+E(f386(x14173,x14171,x14174,x14175),f386(x14173,x14172,x14174,x14175))
% 218.59/218.73 [1418]~E(x14181,x14182)+E(f386(x14183,x14184,x14181,x14185),f386(x14183,x14184,x14182,x14185))
% 218.59/218.73 [1419]~E(x14191,x14192)+E(f386(x14193,x14194,x14195,x14191),f386(x14193,x14194,x14195,x14192))
% 218.59/218.73 [1420]~E(x14201,x14202)+E(f745(x14201,x14203),f745(x14202,x14203))
% 218.59/218.73 [1421]~E(x14211,x14212)+E(f745(x14213,x14211),f745(x14213,x14212))
% 218.59/218.73 [1422]~E(x14221,x14222)+E(f308(x14221,x14223,x14224,x14225),f308(x14222,x14223,x14224,x14225))
% 218.59/218.73 [1423]~E(x14231,x14232)+E(f308(x14233,x14231,x14234,x14235),f308(x14233,x14232,x14234,x14235))
% 218.59/218.73 [1424]~E(x14241,x14242)+E(f308(x14243,x14244,x14241,x14245),f308(x14243,x14244,x14242,x14245))
% 218.59/218.73 [1425]~E(x14251,x14252)+E(f308(x14253,x14254,x14255,x14251),f308(x14253,x14254,x14255,x14252))
% 218.59/218.73 [1426]~E(x14261,x14262)+E(f689(x14261,x14263,x14264,x14265),f689(x14262,x14263,x14264,x14265))
% 218.59/218.73 [1427]~E(x14271,x14272)+E(f689(x14273,x14271,x14274,x14275),f689(x14273,x14272,x14274,x14275))
% 218.59/218.73 [1428]~E(x14281,x14282)+E(f689(x14283,x14284,x14281,x14285),f689(x14283,x14284,x14282,x14285))
% 218.59/218.73 [1429]~E(x14291,x14292)+E(f689(x14293,x14294,x14295,x14291),f689(x14293,x14294,x14295,x14292))
% 218.59/218.73 [1430]~E(x14301,x14302)+E(f604(x14301,x14303,x14304),f604(x14302,x14303,x14304))
% 218.59/218.73 [1431]~E(x14311,x14312)+E(f604(x14313,x14311,x14314),f604(x14313,x14312,x14314))
% 218.59/218.73 [1432]~E(x14321,x14322)+E(f604(x14323,x14324,x14321),f604(x14323,x14324,x14322))
% 218.59/218.73 [1433]~E(x14331,x14332)+E(f581(x14331,x14333,x14334),f581(x14332,x14333,x14334))
% 218.59/218.73 [1434]~E(x14341,x14342)+E(f581(x14343,x14341,x14344),f581(x14343,x14342,x14344))
% 218.59/218.73 [1435]~E(x14351,x14352)+E(f581(x14353,x14354,x14351),f581(x14353,x14354,x14352))
% 218.59/218.73 [1436]~E(x14361,x14362)+E(f809(x14361,x14363,x14364,x14365),f809(x14362,x14363,x14364,x14365))
% 218.59/218.73 [1437]~E(x14371,x14372)+E(f809(x14373,x14371,x14374,x14375),f809(x14373,x14372,x14374,x14375))
% 218.59/218.73 [1438]~E(x14381,x14382)+E(f809(x14383,x14384,x14381,x14385),f809(x14383,x14384,x14382,x14385))
% 218.59/218.73 [1439]~E(x14391,x14392)+E(f809(x14393,x14394,x14395,x14391),f809(x14393,x14394,x14395,x14392))
% 218.59/218.73 [1440]~E(x14401,x14402)+E(f588(x14401,x14403,x14404),f588(x14402,x14403,x14404))
% 218.59/218.73 [1441]~E(x14411,x14412)+E(f588(x14413,x14411,x14414),f588(x14413,x14412,x14414))
% 218.59/218.73 [1442]~E(x14421,x14422)+E(f588(x14423,x14424,x14421),f588(x14423,x14424,x14422))
% 218.59/218.73 [1443]~E(x14431,x14432)+E(f747(x14431,x14433,x14434,x14435,x14436,x14437,x14438,x14439),f747(x14432,x14433,x14434,x14435,x14436,x14437,x14438,x14439))
% 218.59/218.73 [1444]~E(x14441,x14442)+E(f747(x14443,x14441,x14444,x14445,x14446,x14447,x14448,x14449),f747(x14443,x14442,x14444,x14445,x14446,x14447,x14448,x14449))
% 218.59/218.73 [1445]~E(x14451,x14452)+E(f747(x14453,x14454,x14451,x14455,x14456,x14457,x14458,x14459),f747(x14453,x14454,x14452,x14455,x14456,x14457,x14458,x14459))
% 218.59/218.73 [1446]~E(x14461,x14462)+E(f747(x14463,x14464,x14465,x14461,x14466,x14467,x14468,x14469),f747(x14463,x14464,x14465,x14462,x14466,x14467,x14468,x14469))
% 218.59/218.73 [1447]~E(x14471,x14472)+E(f747(x14473,x14474,x14475,x14476,x14471,x14477,x14478,x14479),f747(x14473,x14474,x14475,x14476,x14472,x14477,x14478,x14479))
% 218.59/218.73 [1448]~E(x14481,x14482)+E(f747(x14483,x14484,x14485,x14486,x14487,x14481,x14488,x14489),f747(x14483,x14484,x14485,x14486,x14487,x14482,x14488,x14489))
% 218.59/218.73 [1449]~E(x14491,x14492)+E(f747(x14493,x14494,x14495,x14496,x14497,x14498,x14491,x14499),f747(x14493,x14494,x14495,x14496,x14497,x14498,x14492,x14499))
% 218.59/218.73 [1450]~E(x14501,x14502)+E(f747(x14503,x14504,x14505,x14506,x14507,x14508,x14509,x14501),f747(x14503,x14504,x14505,x14506,x14507,x14508,x14509,x14502))
% 218.59/218.73 [1451]~E(x14511,x14512)+E(f690(x14511,x14513,x14514,x14515),f690(x14512,x14513,x14514,x14515))
% 218.59/218.73 [1452]~E(x14521,x14522)+E(f690(x14523,x14521,x14524,x14525),f690(x14523,x14522,x14524,x14525))
% 218.59/218.73 [1453]~E(x14531,x14532)+E(f690(x14533,x14534,x14531,x14535),f690(x14533,x14534,x14532,x14535))
% 218.59/218.73 [1454]~E(x14541,x14542)+E(f690(x14543,x14544,x14545,x14541),f690(x14543,x14544,x14545,x14542))
% 218.59/218.73 [1455]~E(x14551,x14552)+E(f599(x14551,x14553,x14554,x14555,x14556),f599(x14552,x14553,x14554,x14555,x14556))
% 218.59/218.73 [1456]~E(x14561,x14562)+E(f599(x14563,x14561,x14564,x14565,x14566),f599(x14563,x14562,x14564,x14565,x14566))
% 218.59/218.73 [1457]~E(x14571,x14572)+E(f599(x14573,x14574,x14571,x14575,x14576),f599(x14573,x14574,x14572,x14575,x14576))
% 218.59/218.73 [1458]~E(x14581,x14582)+E(f599(x14583,x14584,x14585,x14581,x14586),f599(x14583,x14584,x14585,x14582,x14586))
% 218.59/218.73 [1459]~E(x14591,x14592)+E(f599(x14593,x14594,x14595,x14596,x14591),f599(x14593,x14594,x14595,x14596,x14592))
% 218.59/218.73 [1460]~E(x14601,x14602)+E(f642(x14601,x14603,x14604,x14605,x14606),f642(x14602,x14603,x14604,x14605,x14606))
% 218.59/218.73 [1461]~E(x14611,x14612)+E(f642(x14613,x14611,x14614,x14615,x14616),f642(x14613,x14612,x14614,x14615,x14616))
% 218.59/218.73 [1462]~E(x14621,x14622)+E(f642(x14623,x14624,x14621,x14625,x14626),f642(x14623,x14624,x14622,x14625,x14626))
% 218.59/218.73 [1463]~E(x14631,x14632)+E(f642(x14633,x14634,x14635,x14631,x14636),f642(x14633,x14634,x14635,x14632,x14636))
% 218.59/218.73 [1464]~E(x14641,x14642)+E(f642(x14643,x14644,x14645,x14646,x14641),f642(x14643,x14644,x14645,x14646,x14642))
% 218.59/218.73 [1465]~E(x14651,x14652)+E(f668(x14651,x14653,x14654),f668(x14652,x14653,x14654))
% 218.59/218.73 [1466]~E(x14661,x14662)+E(f668(x14663,x14661,x14664),f668(x14663,x14662,x14664))
% 218.59/218.73 [1467]~E(x14671,x14672)+E(f668(x14673,x14674,x14671),f668(x14673,x14674,x14672))
% 218.59/218.73 [1468]~E(x14681,x14682)+E(f669(x14681,x14683,x14684,x14685,x14686),f669(x14682,x14683,x14684,x14685,x14686))
% 218.59/218.73 [1469]~E(x14691,x14692)+E(f669(x14693,x14691,x14694,x14695,x14696),f669(x14693,x14692,x14694,x14695,x14696))
% 218.59/218.73 [1470]~E(x14701,x14702)+E(f669(x14703,x14704,x14701,x14705,x14706),f669(x14703,x14704,x14702,x14705,x14706))
% 218.59/218.73 [1471]~E(x14711,x14712)+E(f669(x14713,x14714,x14715,x14711,x14716),f669(x14713,x14714,x14715,x14712,x14716))
% 218.59/218.73 [1472]~E(x14721,x14722)+E(f669(x14723,x14724,x14725,x14726,x14721),f669(x14723,x14724,x14725,x14726,x14722))
% 218.59/218.73 [1473]~E(x14731,x14732)+E(f616(x14731,x14733,x14734,x14735,x14736),f616(x14732,x14733,x14734,x14735,x14736))
% 218.59/218.73 [1474]~E(x14741,x14742)+E(f616(x14743,x14741,x14744,x14745,x14746),f616(x14743,x14742,x14744,x14745,x14746))
% 218.59/218.73 [1475]~E(x14751,x14752)+E(f616(x14753,x14754,x14751,x14755,x14756),f616(x14753,x14754,x14752,x14755,x14756))
% 218.59/218.73 [1476]~E(x14761,x14762)+E(f616(x14763,x14764,x14765,x14761,x14766),f616(x14763,x14764,x14765,x14762,x14766))
% 218.59/218.73 [1477]~E(x14771,x14772)+E(f616(x14773,x14774,x14775,x14776,x14771),f616(x14773,x14774,x14775,x14776,x14772))
% 218.59/218.73 [1478]~E(x14781,x14782)+E(f716(x14781,x14783),f716(x14782,x14783))
% 218.59/218.73 [1479]~E(x14791,x14792)+E(f716(x14793,x14791),f716(x14793,x14792))
% 218.59/218.73 [1480]~E(x14801,x14802)+E(f372(x14801,x14803,x14804,x14805),f372(x14802,x14803,x14804,x14805))
% 218.59/218.73 [1481]~E(x14811,x14812)+E(f372(x14813,x14811,x14814,x14815),f372(x14813,x14812,x14814,x14815))
% 218.59/218.73 [1482]~E(x14821,x14822)+E(f372(x14823,x14824,x14821,x14825),f372(x14823,x14824,x14822,x14825))
% 218.59/218.73 [1483]~E(x14831,x14832)+E(f372(x14833,x14834,x14835,x14831),f372(x14833,x14834,x14835,x14832))
% 218.59/218.73 [1484]~E(x14841,x14842)+E(f590(x14841,x14843),f590(x14842,x14843))
% 218.59/218.73 [1485]~E(x14851,x14852)+E(f590(x14853,x14851),f590(x14853,x14852))
% 218.59/218.73 [1486]~E(x14861,x14862)+E(f481(x14861,x14863,x14864,x14865,x14866),f481(x14862,x14863,x14864,x14865,x14866))
% 218.59/218.73 [1487]~E(x14871,x14872)+E(f481(x14873,x14871,x14874,x14875,x14876),f481(x14873,x14872,x14874,x14875,x14876))
% 218.59/218.73 [1488]~E(x14881,x14882)+E(f481(x14883,x14884,x14881,x14885,x14886),f481(x14883,x14884,x14882,x14885,x14886))
% 218.59/218.73 [1489]~E(x14891,x14892)+E(f481(x14893,x14894,x14895,x14891,x14896),f481(x14893,x14894,x14895,x14892,x14896))
% 218.59/218.73 [1490]~E(x14901,x14902)+E(f481(x14903,x14904,x14905,x14906,x14901),f481(x14903,x14904,x14905,x14906,x14902))
% 218.59/218.73 [1491]~E(x14911,x14912)+E(f284(x14911,x14913,x14914),f284(x14912,x14913,x14914))
% 218.59/218.73 [1492]~E(x14921,x14922)+E(f284(x14923,x14921,x14924),f284(x14923,x14922,x14924))
% 218.59/218.73 [1493]~E(x14931,x14932)+E(f284(x14933,x14934,x14931),f284(x14933,x14934,x14932))
% 218.59/218.73 [1494]~E(x14941,x14942)+E(f708(x14941,x14943,x14944),f708(x14942,x14943,x14944))
% 218.59/218.73 [1495]~E(x14951,x14952)+E(f708(x14953,x14951,x14954),f708(x14953,x14952,x14954))
% 218.59/218.73 [1496]~E(x14961,x14962)+E(f708(x14963,x14964,x14961),f708(x14963,x14964,x14962))
% 218.59/218.73 [1497]~E(x14971,x14972)+E(f607(x14971,x14973,x14974),f607(x14972,x14973,x14974))
% 218.59/218.73 [1498]~E(x14981,x14982)+E(f607(x14983,x14981,x14984),f607(x14983,x14982,x14984))
% 218.59/218.73 [1499]~E(x14991,x14992)+E(f607(x14993,x14994,x14991),f607(x14993,x14994,x14992))
% 218.59/218.73 [1500]~E(x15001,x15002)+E(f392(x15001,x15003,x15004),f392(x15002,x15003,x15004))
% 218.59/218.73 [1501]~E(x15011,x15012)+E(f392(x15013,x15011,x15014),f392(x15013,x15012,x15014))
% 218.59/218.73 [1502]~E(x15021,x15022)+E(f392(x15023,x15024,x15021),f392(x15023,x15024,x15022))
% 218.59/218.73 [1503]~E(x15031,x15032)+E(f636(x15031,x15033,x15034,x15035),f636(x15032,x15033,x15034,x15035))
% 218.59/218.73 [1504]~E(x15041,x15042)+E(f636(x15043,x15041,x15044,x15045),f636(x15043,x15042,x15044,x15045))
% 218.59/218.73 [1505]~E(x15051,x15052)+E(f636(x15053,x15054,x15051,x15055),f636(x15053,x15054,x15052,x15055))
% 218.59/218.73 [1506]~E(x15061,x15062)+E(f636(x15063,x15064,x15065,x15061),f636(x15063,x15064,x15065,x15062))
% 218.59/218.73 [1507]~E(x15071,x15072)+E(f591(x15071,x15073,x15074,x15075),f591(x15072,x15073,x15074,x15075))
% 218.59/218.73 [1508]~E(x15081,x15082)+E(f591(x15083,x15081,x15084,x15085),f591(x15083,x15082,x15084,x15085))
% 218.59/218.73 [1509]~E(x15091,x15092)+E(f591(x15093,x15094,x15091,x15095),f591(x15093,x15094,x15092,x15095))
% 218.59/218.73 [1510]~E(x15101,x15102)+E(f591(x15103,x15104,x15105,x15101),f591(x15103,x15104,x15105,x15102))
% 218.59/218.73 [1511]~E(x15111,x15112)+E(f530(x15111,x15113,x15114,x15115),f530(x15112,x15113,x15114,x15115))
% 218.59/218.73 [1512]~E(x15121,x15122)+E(f530(x15123,x15121,x15124,x15125),f530(x15123,x15122,x15124,x15125))
% 218.59/218.73 [1513]~E(x15131,x15132)+E(f530(x15133,x15134,x15131,x15135),f530(x15133,x15134,x15132,x15135))
% 218.59/218.73 [1514]~E(x15141,x15142)+E(f530(x15143,x15144,x15145,x15141),f530(x15143,x15144,x15145,x15142))
% 218.59/218.73 [1515]~E(x15151,x15152)+E(f41(x15151),f41(x15152))
% 218.59/218.73 [1516]~E(x15161,x15162)+E(f807(x15161,x15163),f807(x15162,x15163))
% 218.59/218.73 [1517]~E(x15171,x15172)+E(f807(x15173,x15171),f807(x15173,x15172))
% 218.59/218.73 [1518]~E(x15181,x15182)+E(f148(x15181,x15183,x15184,x15185),f148(x15182,x15183,x15184,x15185))
% 218.59/218.73 [1519]~E(x15191,x15192)+E(f148(x15193,x15191,x15194,x15195),f148(x15193,x15192,x15194,x15195))
% 218.59/218.73 [1520]~E(x15201,x15202)+E(f148(x15203,x15204,x15201,x15205),f148(x15203,x15204,x15202,x15205))
% 218.59/218.73 [1521]~E(x15211,x15212)+E(f148(x15213,x15214,x15215,x15211),f148(x15213,x15214,x15215,x15212))
% 218.59/218.73 [1522]~E(x15221,x15222)+E(f549(x15221,x15223,x15224,x15225),f549(x15222,x15223,x15224,x15225))
% 218.59/218.73 [1523]~E(x15231,x15232)+E(f549(x15233,x15231,x15234,x15235),f549(x15233,x15232,x15234,x15235))
% 218.59/218.73 [1524]~E(x15241,x15242)+E(f549(x15243,x15244,x15241,x15245),f549(x15243,x15244,x15242,x15245))
% 218.59/218.73 [1525]~E(x15251,x15252)+E(f549(x15253,x15254,x15255,x15251),f549(x15253,x15254,x15255,x15252))
% 218.59/218.73 [1526]~E(x15261,x15262)+E(f646(x15261,x15263),f646(x15262,x15263))
% 218.59/218.73 [1527]~E(x15271,x15272)+E(f646(x15273,x15271),f646(x15273,x15272))
% 218.59/218.73 [1528]~E(x15281,x15282)+E(f698(x15281,x15283),f698(x15282,x15283))
% 218.59/218.73 [1529]~E(x15291,x15292)+E(f698(x15293,x15291),f698(x15293,x15292))
% 218.59/218.73 [1530]~E(x15301,x15302)+E(f252(x15301,x15303,x15304,x15305,x15306),f252(x15302,x15303,x15304,x15305,x15306))
% 218.59/218.73 [1531]~E(x15311,x15312)+E(f252(x15313,x15311,x15314,x15315,x15316),f252(x15313,x15312,x15314,x15315,x15316))
% 218.59/218.73 [1532]~E(x15321,x15322)+E(f252(x15323,x15324,x15321,x15325,x15326),f252(x15323,x15324,x15322,x15325,x15326))
% 218.59/218.73 [1533]~E(x15331,x15332)+E(f252(x15333,x15334,x15335,x15331,x15336),f252(x15333,x15334,x15335,x15332,x15336))
% 218.59/218.73 [1534]~E(x15341,x15342)+E(f252(x15343,x15344,x15345,x15346,x15341),f252(x15343,x15344,x15345,x15346,x15342))
% 218.59/218.73 [1535]~E(x15351,x15352)+E(f325(x15351,x15353),f325(x15352,x15353))
% 218.59/218.73 [1536]~E(x15361,x15362)+E(f325(x15363,x15361),f325(x15363,x15362))
% 218.59/218.73 [1537]~E(x15371,x15372)+E(f528(x15371),f528(x15372))
% 218.59/218.73 [1538]~E(x15381,x15382)+E(f853(x15381,x15383,x15384),f853(x15382,x15383,x15384))
% 218.59/218.73 [1539]~E(x15391,x15392)+E(f853(x15393,x15391,x15394),f853(x15393,x15392,x15394))
% 218.59/218.73 [1540]~E(x15401,x15402)+E(f853(x15403,x15404,x15401),f853(x15403,x15404,x15402))
% 218.59/218.73 [1541]~E(x15411,x15412)+E(f203(x15411,x15413,x15414,x15415),f203(x15412,x15413,x15414,x15415))
% 218.59/218.73 [1542]~E(x15421,x15422)+E(f203(x15423,x15421,x15424,x15425),f203(x15423,x15422,x15424,x15425))
% 218.59/218.73 [1543]~E(x15431,x15432)+E(f203(x15433,x15434,x15431,x15435),f203(x15433,x15434,x15432,x15435))
% 218.59/218.73 [1544]~E(x15441,x15442)+E(f203(x15443,x15444,x15445,x15441),f203(x15443,x15444,x15445,x15442))
% 218.59/218.73 [1545]~E(x15451,x15452)+E(f761(x15451,x15453,x15454,x15455,x15456),f761(x15452,x15453,x15454,x15455,x15456))
% 218.59/218.73 [1546]~E(x15461,x15462)+E(f761(x15463,x15461,x15464,x15465,x15466),f761(x15463,x15462,x15464,x15465,x15466))
% 218.59/218.73 [1547]~E(x15471,x15472)+E(f761(x15473,x15474,x15471,x15475,x15476),f761(x15473,x15474,x15472,x15475,x15476))
% 218.59/218.73 [1548]~E(x15481,x15482)+E(f761(x15483,x15484,x15485,x15481,x15486),f761(x15483,x15484,x15485,x15482,x15486))
% 218.59/218.73 [1549]~E(x15491,x15492)+E(f761(x15493,x15494,x15495,x15496,x15491),f761(x15493,x15494,x15495,x15496,x15492))
% 218.59/218.73 [1550]~E(x15501,x15502)+E(f377(x15501,x15503,x15504,x15505),f377(x15502,x15503,x15504,x15505))
% 218.59/218.73 [1551]~E(x15511,x15512)+E(f377(x15513,x15511,x15514,x15515),f377(x15513,x15512,x15514,x15515))
% 218.59/218.73 [1552]~E(x15521,x15522)+E(f377(x15523,x15524,x15521,x15525),f377(x15523,x15524,x15522,x15525))
% 218.59/218.73 [1553]~E(x15531,x15532)+E(f377(x15533,x15534,x15535,x15531),f377(x15533,x15534,x15535,x15532))
% 218.59/218.73 [1554]~E(x15541,x15542)+E(f728(x15541,x15543,x15544),f728(x15542,x15543,x15544))
% 218.59/218.73 [1555]~E(x15551,x15552)+E(f728(x15553,x15551,x15554),f728(x15553,x15552,x15554))
% 218.59/218.73 [1556]~E(x15561,x15562)+E(f728(x15563,x15564,x15561),f728(x15563,x15564,x15562))
% 218.59/218.73 [1557]~E(x15571,x15572)+E(f334(x15571,x15573,x15574,x15575,x15576),f334(x15572,x15573,x15574,x15575,x15576))
% 218.59/218.73 [1558]~E(x15581,x15582)+E(f334(x15583,x15581,x15584,x15585,x15586),f334(x15583,x15582,x15584,x15585,x15586))
% 218.59/218.73 [1559]~E(x15591,x15592)+E(f334(x15593,x15594,x15591,x15595,x15596),f334(x15593,x15594,x15592,x15595,x15596))
% 218.59/218.73 [1560]~E(x15601,x15602)+E(f334(x15603,x15604,x15605,x15601,x15606),f334(x15603,x15604,x15605,x15602,x15606))
% 218.59/218.73 [1561]~E(x15611,x15612)+E(f334(x15613,x15614,x15615,x15616,x15611),f334(x15613,x15614,x15615,x15616,x15612))
% 218.59/218.73 [1562]~E(x15621,x15622)+E(f490(x15621,x15623,x15624,x15625,x15626),f490(x15622,x15623,x15624,x15625,x15626))
% 218.59/218.73 [1563]~E(x15631,x15632)+E(f490(x15633,x15631,x15634,x15635,x15636),f490(x15633,x15632,x15634,x15635,x15636))
% 218.59/218.73 [1564]~E(x15641,x15642)+E(f490(x15643,x15644,x15641,x15645,x15646),f490(x15643,x15644,x15642,x15645,x15646))
% 218.59/218.73 [1565]~E(x15651,x15652)+E(f490(x15653,x15654,x15655,x15651,x15656),f490(x15653,x15654,x15655,x15652,x15656))
% 218.59/218.73 [1566]~E(x15661,x15662)+E(f490(x15663,x15664,x15665,x15666,x15661),f490(x15663,x15664,x15665,x15666,x15662))
% 218.59/218.73 [1567]~E(x15671,x15672)+E(f361(x15671,x15673,x15674,x15675,x15676),f361(x15672,x15673,x15674,x15675,x15676))
% 218.59/218.73 [1568]~E(x15681,x15682)+E(f361(x15683,x15681,x15684,x15685,x15686),f361(x15683,x15682,x15684,x15685,x15686))
% 218.59/218.73 [1569]~E(x15691,x15692)+E(f361(x15693,x15694,x15691,x15695,x15696),f361(x15693,x15694,x15692,x15695,x15696))
% 218.59/218.73 [1570]~E(x15701,x15702)+E(f361(x15703,x15704,x15705,x15701,x15706),f361(x15703,x15704,x15705,x15702,x15706))
% 218.59/218.73 [1571]~E(x15711,x15712)+E(f361(x15713,x15714,x15715,x15716,x15711),f361(x15713,x15714,x15715,x15716,x15712))
% 218.59/218.73 [1572]~E(x15721,x15722)+E(f360(x15721,x15723,x15724,x15725,x15726),f360(x15722,x15723,x15724,x15725,x15726))
% 218.59/218.73 [1573]~E(x15731,x15732)+E(f360(x15733,x15731,x15734,x15735,x15736),f360(x15733,x15732,x15734,x15735,x15736))
% 218.59/218.73 [1574]~E(x15741,x15742)+E(f360(x15743,x15744,x15741,x15745,x15746),f360(x15743,x15744,x15742,x15745,x15746))
% 218.59/218.73 [1575]~E(x15751,x15752)+E(f360(x15753,x15754,x15755,x15751,x15756),f360(x15753,x15754,x15755,x15752,x15756))
% 218.59/218.73 [1576]~E(x15761,x15762)+E(f360(x15763,x15764,x15765,x15766,x15761),f360(x15763,x15764,x15765,x15766,x15762))
% 218.59/218.73 [1577]~E(x15771,x15772)+E(f400(x15771,x15773,x15774,x15775),f400(x15772,x15773,x15774,x15775))
% 218.59/218.73 [1578]~E(x15781,x15782)+E(f400(x15783,x15781,x15784,x15785),f400(x15783,x15782,x15784,x15785))
% 218.59/218.73 [1579]~E(x15791,x15792)+E(f400(x15793,x15794,x15791,x15795),f400(x15793,x15794,x15792,x15795))
% 218.59/218.73 [1580]~E(x15801,x15802)+E(f400(x15803,x15804,x15805,x15801),f400(x15803,x15804,x15805,x15802))
% 218.59/218.73 [1581]~E(x15811,x15812)+E(f752(x15811,x15813,x15814,x15815,x15816),f752(x15812,x15813,x15814,x15815,x15816))
% 218.59/218.73 [1582]~E(x15821,x15822)+E(f752(x15823,x15821,x15824,x15825,x15826),f752(x15823,x15822,x15824,x15825,x15826))
% 218.59/218.73 [1583]~E(x15831,x15832)+E(f752(x15833,x15834,x15831,x15835,x15836),f752(x15833,x15834,x15832,x15835,x15836))
% 218.59/218.73 [1584]~E(x15841,x15842)+E(f752(x15843,x15844,x15845,x15841,x15846),f752(x15843,x15844,x15845,x15842,x15846))
% 218.59/218.73 [1585]~E(x15851,x15852)+E(f752(x15853,x15854,x15855,x15856,x15851),f752(x15853,x15854,x15855,x15856,x15852))
% 218.59/218.73 [1586]~E(x15861,x15862)+E(f721(x15861,x15863),f721(x15862,x15863))
% 218.59/218.73 [1587]~E(x15871,x15872)+E(f721(x15873,x15871),f721(x15873,x15872))
% 218.59/218.73 [1588]~E(x15881,x15882)+E(f480(x15881,x15883,x15884,x15885),f480(x15882,x15883,x15884,x15885))
% 218.59/218.73 [1589]~E(x15891,x15892)+E(f480(x15893,x15891,x15894,x15895),f480(x15893,x15892,x15894,x15895))
% 218.59/218.73 [1590]~E(x15901,x15902)+E(f480(x15903,x15904,x15901,x15905),f480(x15903,x15904,x15902,x15905))
% 218.59/218.73 [1591]~E(x15911,x15912)+E(f480(x15913,x15914,x15915,x15911),f480(x15913,x15914,x15915,x15912))
% 218.59/218.73 [1592]~E(x15921,x15922)+E(f815(x15921,x15923),f815(x15922,x15923))
% 218.59/218.73 [1593]~E(x15931,x15932)+E(f815(x15933,x15931),f815(x15933,x15932))
% 218.59/218.73 [1594]~E(x15941,x15942)+E(f750(x15941,x15943,x15944),f750(x15942,x15943,x15944))
% 218.59/218.73 [1595]~E(x15951,x15952)+E(f750(x15953,x15951,x15954),f750(x15953,x15952,x15954))
% 218.59/218.73 [1596]~E(x15961,x15962)+E(f750(x15963,x15964,x15961),f750(x15963,x15964,x15962))
% 218.59/218.73 [1597]~E(x15971,x15972)+E(f266(x15971,x15973,x15974,x15975),f266(x15972,x15973,x15974,x15975))
% 218.59/218.73 [1598]~E(x15981,x15982)+E(f266(x15983,x15981,x15984,x15985),f266(x15983,x15982,x15984,x15985))
% 218.59/218.73 [1599]~E(x15991,x15992)+E(f266(x15993,x15994,x15991,x15995),f266(x15993,x15994,x15992,x15995))
% 218.59/218.73 [1600]~E(x16001,x16002)+E(f266(x16003,x16004,x16005,x16001),f266(x16003,x16004,x16005,x16002))
% 218.59/218.73 [1601]~E(x16011,x16012)+E(f875(x16011,x16013,x16014,x16015),f875(x16012,x16013,x16014,x16015))
% 218.59/218.73 [1602]~E(x16021,x16022)+E(f875(x16023,x16021,x16024,x16025),f875(x16023,x16022,x16024,x16025))
% 218.59/218.73 [1603]~E(x16031,x16032)+E(f875(x16033,x16034,x16031,x16035),f875(x16033,x16034,x16032,x16035))
% 218.59/218.73 [1604]~E(x16041,x16042)+E(f875(x16043,x16044,x16045,x16041),f875(x16043,x16044,x16045,x16042))
% 218.59/218.73 [1605]~E(x16051,x16052)+E(f501(x16051,x16053,x16054,x16055,x16056,x16057),f501(x16052,x16053,x16054,x16055,x16056,x16057))
% 218.59/218.73 [1606]~E(x16061,x16062)+E(f501(x16063,x16061,x16064,x16065,x16066,x16067),f501(x16063,x16062,x16064,x16065,x16066,x16067))
% 218.59/218.73 [1607]~E(x16071,x16072)+E(f501(x16073,x16074,x16071,x16075,x16076,x16077),f501(x16073,x16074,x16072,x16075,x16076,x16077))
% 218.59/218.73 [1608]~E(x16081,x16082)+E(f501(x16083,x16084,x16085,x16081,x16086,x16087),f501(x16083,x16084,x16085,x16082,x16086,x16087))
% 218.59/218.73 [1609]~E(x16091,x16092)+E(f501(x16093,x16094,x16095,x16096,x16091,x16097),f501(x16093,x16094,x16095,x16096,x16092,x16097))
% 218.59/218.73 [1610]~E(x16101,x16102)+E(f501(x16103,x16104,x16105,x16106,x16107,x16101),f501(x16103,x16104,x16105,x16106,x16107,x16102))
% 218.59/218.73 [1611]~E(x16111,x16112)+E(f408(x16111,x16113),f408(x16112,x16113))
% 218.59/218.73 [1612]~E(x16121,x16122)+E(f408(x16123,x16121),f408(x16123,x16122))
% 218.59/218.73 [1613]~E(x16131,x16132)+E(f403(x16131,x16133,x16134,x16135),f403(x16132,x16133,x16134,x16135))
% 218.59/218.73 [1614]~E(x16141,x16142)+E(f403(x16143,x16141,x16144,x16145),f403(x16143,x16142,x16144,x16145))
% 218.59/218.73 [1615]~E(x16151,x16152)+E(f403(x16153,x16154,x16151,x16155),f403(x16153,x16154,x16152,x16155))
% 218.59/218.73 [1616]~E(x16161,x16162)+E(f403(x16163,x16164,x16165,x16161),f403(x16163,x16164,x16165,x16162))
% 218.59/218.73 [1617]~E(x16171,x16172)+E(f812(x16171),f812(x16172))
% 218.59/218.73 [1618]~E(x16181,x16182)+E(f426(x16181,x16183,x16184),f426(x16182,x16183,x16184))
% 218.59/218.73 [1619]~E(x16191,x16192)+E(f426(x16193,x16191,x16194),f426(x16193,x16192,x16194))
% 218.59/218.73 [1620]~E(x16201,x16202)+E(f426(x16203,x16204,x16201),f426(x16203,x16204,x16202))
% 218.59/218.73 [1621]~E(x16211,x16212)+E(f760(x16211,x16213,x16214,x16215,x16216),f760(x16212,x16213,x16214,x16215,x16216))
% 218.59/218.73 [1622]~E(x16221,x16222)+E(f760(x16223,x16221,x16224,x16225,x16226),f760(x16223,x16222,x16224,x16225,x16226))
% 218.59/218.73 [1623]~E(x16231,x16232)+E(f760(x16233,x16234,x16231,x16235,x16236),f760(x16233,x16234,x16232,x16235,x16236))
% 218.59/218.73 [1624]~E(x16241,x16242)+E(f760(x16243,x16244,x16245,x16241,x16246),f760(x16243,x16244,x16245,x16242,x16246))
% 218.59/218.73 [1625]~E(x16251,x16252)+E(f760(x16253,x16254,x16255,x16256,x16251),f760(x16253,x16254,x16255,x16256,x16252))
% 218.59/218.73 [1626]~E(x16261,x16262)+E(f759(x16261,x16263,x16264,x16265),f759(x16262,x16263,x16264,x16265))
% 218.59/218.73 [1627]~E(x16271,x16272)+E(f759(x16273,x16271,x16274,x16275),f759(x16273,x16272,x16274,x16275))
% 218.59/218.73 [1628]~E(x16281,x16282)+E(f759(x16283,x16284,x16281,x16285),f759(x16283,x16284,x16282,x16285))
% 218.59/218.73 [1629]~E(x16291,x16292)+E(f759(x16293,x16294,x16295,x16291),f759(x16293,x16294,x16295,x16292))
% 218.59/218.73 [1630]~E(x16301,x16302)+E(f601(x16301,x16303,x16304),f601(x16302,x16303,x16304))
% 218.59/218.73 [1631]~E(x16311,x16312)+E(f601(x16313,x16311,x16314),f601(x16313,x16312,x16314))
% 218.59/218.73 [1632]~E(x16321,x16322)+E(f601(x16323,x16324,x16321),f601(x16323,x16324,x16322))
% 218.59/218.73 [1633]~E(x16331,x16332)+E(f423(x16331,x16333,x16334,x16335),f423(x16332,x16333,x16334,x16335))
% 218.59/218.73 [1634]~E(x16341,x16342)+E(f423(x16343,x16341,x16344,x16345),f423(x16343,x16342,x16344,x16345))
% 218.59/218.73 [1635]~E(x16351,x16352)+E(f423(x16353,x16354,x16351,x16355),f423(x16353,x16354,x16352,x16355))
% 218.59/218.73 [1636]~E(x16361,x16362)+E(f423(x16363,x16364,x16365,x16361),f423(x16363,x16364,x16365,x16362))
% 218.59/218.73 [1637]~E(x16371,x16372)+E(f418(x16371,x16373),f418(x16372,x16373))
% 218.59/218.73 [1638]~E(x16381,x16382)+E(f418(x16383,x16381),f418(x16383,x16382))
% 218.59/218.73 [1639]~E(x16391,x16392)+E(f688(x16391,x16393,x16394,x16395,x16396),f688(x16392,x16393,x16394,x16395,x16396))
% 218.59/218.73 [1640]~E(x16401,x16402)+E(f688(x16403,x16401,x16404,x16405,x16406),f688(x16403,x16402,x16404,x16405,x16406))
% 218.59/218.73 [1641]~E(x16411,x16412)+E(f688(x16413,x16414,x16411,x16415,x16416),f688(x16413,x16414,x16412,x16415,x16416))
% 218.59/218.73 [1642]~E(x16421,x16422)+E(f688(x16423,x16424,x16425,x16421,x16426),f688(x16423,x16424,x16425,x16422,x16426))
% 218.59/218.73 [1643]~E(x16431,x16432)+E(f688(x16433,x16434,x16435,x16436,x16431),f688(x16433,x16434,x16435,x16436,x16432))
% 218.59/218.73 [1644]~E(x16441,x16442)+E(f341(x16441,x16443),f341(x16442,x16443))
% 218.59/218.73 [1645]~E(x16451,x16452)+E(f341(x16453,x16451),f341(x16453,x16452))
% 218.59/218.73 [1646]~E(x16461,x16462)+E(f411(x16461,x16463),f411(x16462,x16463))
% 218.59/218.73 [1647]~E(x16471,x16472)+E(f411(x16473,x16471),f411(x16473,x16472))
% 218.59/218.73 [1648]~E(x16481,x16482)+E(f238(x16481,x16483,x16484),f238(x16482,x16483,x16484))
% 218.59/218.73 [1649]~E(x16491,x16492)+E(f238(x16493,x16491,x16494),f238(x16493,x16492,x16494))
% 218.59/218.73 [1650]~E(x16501,x16502)+E(f238(x16503,x16504,x16501),f238(x16503,x16504,x16502))
% 218.59/218.73 [1651]~E(x16511,x16512)+E(f691(x16511,x16513,x16514,x16515,x16516),f691(x16512,x16513,x16514,x16515,x16516))
% 218.59/218.73 [1652]~E(x16521,x16522)+E(f691(x16523,x16521,x16524,x16525,x16526),f691(x16523,x16522,x16524,x16525,x16526))
% 218.59/218.73 [1653]~E(x16531,x16532)+E(f691(x16533,x16534,x16531,x16535,x16536),f691(x16533,x16534,x16532,x16535,x16536))
% 218.59/218.73 [1654]~E(x16541,x16542)+E(f691(x16543,x16544,x16545,x16541,x16546),f691(x16543,x16544,x16545,x16542,x16546))
% 218.59/218.73 [1655]~E(x16551,x16552)+E(f691(x16553,x16554,x16555,x16556,x16551),f691(x16553,x16554,x16555,x16556,x16552))
% 218.59/218.73 [1656]~E(x16561,x16562)+E(f42(x16561),f42(x16562))
% 218.59/218.73 [1657]~E(x16571,x16572)+E(f719(x16571,x16573,x16574),f719(x16572,x16573,x16574))
% 218.59/218.73 [1658]~E(x16581,x16582)+E(f719(x16583,x16581,x16584),f719(x16583,x16582,x16584))
% 218.59/218.73 [1659]~E(x16591,x16592)+E(f719(x16593,x16594,x16591),f719(x16593,x16594,x16592))
% 218.59/218.73 [1660]~E(x16601,x16602)+E(f583(x16601,x16603,x16604,x16605,x16606),f583(x16602,x16603,x16604,x16605,x16606))
% 218.59/218.73 [1661]~E(x16611,x16612)+E(f583(x16613,x16611,x16614,x16615,x16616),f583(x16613,x16612,x16614,x16615,x16616))
% 218.59/218.73 [1662]~E(x16621,x16622)+E(f583(x16623,x16624,x16621,x16625,x16626),f583(x16623,x16624,x16622,x16625,x16626))
% 218.59/218.73 [1663]~E(x16631,x16632)+E(f583(x16633,x16634,x16635,x16631,x16636),f583(x16633,x16634,x16635,x16632,x16636))
% 218.59/218.73 [1664]~E(x16641,x16642)+E(f583(x16643,x16644,x16645,x16646,x16641),f583(x16643,x16644,x16645,x16646,x16642))
% 218.59/218.73 [1665]~E(x16651,x16652)+E(f813(x16651,x16653),f813(x16652,x16653))
% 218.59/218.73 [1666]~E(x16661,x16662)+E(f813(x16663,x16661),f813(x16663,x16662))
% 218.59/218.73 [1667]~E(x16671,x16672)+E(f561(x16671,x16673,x16674),f561(x16672,x16673,x16674))
% 218.59/218.73 [1668]~E(x16681,x16682)+E(f561(x16683,x16681,x16684),f561(x16683,x16682,x16684))
% 218.59/218.73 [1669]~E(x16691,x16692)+E(f561(x16693,x16694,x16691),f561(x16693,x16694,x16692))
% 218.59/218.73 [1670]~E(x16701,x16702)+E(f699(x16701,x16703,x16704),f699(x16702,x16703,x16704))
% 218.59/218.73 [1671]~E(x16711,x16712)+E(f699(x16713,x16711,x16714),f699(x16713,x16712,x16714))
% 218.59/218.73 [1672]~E(x16721,x16722)+E(f699(x16723,x16724,x16721),f699(x16723,x16724,x16722))
% 218.59/218.73 [1673]~E(x16731,x16732)+E(f503(x16731,x16733,x16734,x16735),f503(x16732,x16733,x16734,x16735))
% 218.59/218.73 [1674]~E(x16741,x16742)+E(f503(x16743,x16741,x16744,x16745),f503(x16743,x16742,x16744,x16745))
% 218.59/218.73 [1675]~E(x16751,x16752)+E(f503(x16753,x16754,x16751,x16755),f503(x16753,x16754,x16752,x16755))
% 218.59/218.73 [1676]~E(x16761,x16762)+E(f503(x16763,x16764,x16765,x16761),f503(x16763,x16764,x16765,x16762))
% 218.59/218.73 [1677]~E(x16771,x16772)+E(f648(x16771,x16773,x16774,x16775),f648(x16772,x16773,x16774,x16775))
% 218.59/218.73 [1678]~E(x16781,x16782)+E(f648(x16783,x16781,x16784,x16785),f648(x16783,x16782,x16784,x16785))
% 218.59/218.73 [1679]~E(x16791,x16792)+E(f648(x16793,x16794,x16791,x16795),f648(x16793,x16794,x16792,x16795))
% 218.59/218.73 [1680]~E(x16801,x16802)+E(f648(x16803,x16804,x16805,x16801),f648(x16803,x16804,x16805,x16802))
% 218.59/218.73 [1681]~E(x16811,x16812)+E(f565(x16811,x16813,x16814,x16815,x16816,x16817),f565(x16812,x16813,x16814,x16815,x16816,x16817))
% 218.59/218.73 [1682]~E(x16821,x16822)+E(f565(x16823,x16821,x16824,x16825,x16826,x16827),f565(x16823,x16822,x16824,x16825,x16826,x16827))
% 218.59/218.73 [1683]~E(x16831,x16832)+E(f565(x16833,x16834,x16831,x16835,x16836,x16837),f565(x16833,x16834,x16832,x16835,x16836,x16837))
% 218.59/218.73 [1684]~E(x16841,x16842)+E(f565(x16843,x16844,x16845,x16841,x16846,x16847),f565(x16843,x16844,x16845,x16842,x16846,x16847))
% 218.59/218.73 [1685]~E(x16851,x16852)+E(f565(x16853,x16854,x16855,x16856,x16851,x16857),f565(x16853,x16854,x16855,x16856,x16852,x16857))
% 218.59/218.73 [1686]~E(x16861,x16862)+E(f565(x16863,x16864,x16865,x16866,x16867,x16861),f565(x16863,x16864,x16865,x16866,x16867,x16862))
% 218.59/218.73 [1687]~E(x16871,x16872)+E(f613(x16871,x16873,x16874),f613(x16872,x16873,x16874))
% 218.59/218.73 [1688]~E(x16881,x16882)+E(f613(x16883,x16881,x16884),f613(x16883,x16882,x16884))
% 218.59/218.73 [1689]~E(x16891,x16892)+E(f613(x16893,x16894,x16891),f613(x16893,x16894,x16892))
% 218.59/218.73 [1690]~E(x16901,x16902)+E(f790(x16901,x16903,x16904,x16905),f790(x16902,x16903,x16904,x16905))
% 218.59/218.73 [1691]~E(x16911,x16912)+E(f790(x16913,x16911,x16914,x16915),f790(x16913,x16912,x16914,x16915))
% 218.59/218.73 [1692]~E(x16921,x16922)+E(f790(x16923,x16924,x16921,x16925),f790(x16923,x16924,x16922,x16925))
% 218.59/218.73 [1693]~E(x16931,x16932)+E(f790(x16933,x16934,x16935,x16931),f790(x16933,x16934,x16935,x16932))
% 218.59/218.73 [1694]~E(x16941,x16942)+E(f512(x16941,x16943,x16944),f512(x16942,x16943,x16944))
% 218.59/218.73 [1695]~E(x16951,x16952)+E(f512(x16953,x16951,x16954),f512(x16953,x16952,x16954))
% 218.59/218.73 [1696]~E(x16961,x16962)+E(f512(x16963,x16964,x16961),f512(x16963,x16964,x16962))
% 218.59/218.73 [1697]~E(x16971,x16972)+E(f608(x16971,x16973,x16974,x16975,x16976),f608(x16972,x16973,x16974,x16975,x16976))
% 218.59/218.73 [1698]~E(x16981,x16982)+E(f608(x16983,x16981,x16984,x16985,x16986),f608(x16983,x16982,x16984,x16985,x16986))
% 218.59/218.73 [1699]~E(x16991,x16992)+E(f608(x16993,x16994,x16991,x16995,x16996),f608(x16993,x16994,x16992,x16995,x16996))
% 218.59/218.73 [1700]~E(x17001,x17002)+E(f608(x17003,x17004,x17005,x17001,x17006),f608(x17003,x17004,x17005,x17002,x17006))
% 218.59/218.73 [1701]~E(x17011,x17012)+E(f608(x17013,x17014,x17015,x17016,x17011),f608(x17013,x17014,x17015,x17016,x17012))
% 218.59/218.73 [1702]~E(x17021,x17022)+E(f629(x17021,x17023,x17024),f629(x17022,x17023,x17024))
% 218.59/218.73 [1703]~E(x17031,x17032)+E(f629(x17033,x17031,x17034),f629(x17033,x17032,x17034))
% 218.59/218.73 [1704]~E(x17041,x17042)+E(f629(x17043,x17044,x17041),f629(x17043,x17044,x17042))
% 218.59/218.73 [1705]~E(x17051,x17052)+E(f363(x17051,x17053),f363(x17052,x17053))
% 218.59/218.73 [1706]~E(x17061,x17062)+E(f363(x17063,x17061),f363(x17063,x17062))
% 218.59/218.73 [1707]~E(x17071,x17072)+E(f712(x17071,x17073,x17074,x17075),f712(x17072,x17073,x17074,x17075))
% 218.59/218.73 [1708]~E(x17081,x17082)+E(f712(x17083,x17081,x17084,x17085),f712(x17083,x17082,x17084,x17085))
% 218.59/218.73 [1709]~E(x17091,x17092)+E(f712(x17093,x17094,x17091,x17095),f712(x17093,x17094,x17092,x17095))
% 218.59/218.73 [1710]~E(x17101,x17102)+E(f712(x17103,x17104,x17105,x17101),f712(x17103,x17104,x17105,x17102))
% 218.59/218.73 [1711]~E(x17111,x17112)+E(f301(x17111,x17113),f301(x17112,x17113))
% 218.59/218.73 [1712]~E(x17121,x17122)+E(f301(x17123,x17121),f301(x17123,x17122))
% 218.59/218.73 [1713]~E(x17131,x17132)+E(f260(x17131,x17133),f260(x17132,x17133))
% 218.59/218.73 [1714]~E(x17141,x17142)+E(f260(x17143,x17141),f260(x17143,x17142))
% 218.59/218.73 [1715]~E(x17151,x17152)+E(f751(x17151,x17153,x17154,x17155),f751(x17152,x17153,x17154,x17155))
% 218.59/218.73 [1716]~E(x17161,x17162)+E(f751(x17163,x17161,x17164,x17165),f751(x17163,x17162,x17164,x17165))
% 218.59/218.73 [1717]~E(x17171,x17172)+E(f751(x17173,x17174,x17171,x17175),f751(x17173,x17174,x17172,x17175))
% 218.59/218.73 [1718]~E(x17181,x17182)+E(f751(x17183,x17184,x17185,x17181),f751(x17183,x17184,x17185,x17182))
% 218.59/218.73 [1719]~E(x17191,x17192)+E(f388(x17191,x17193,x17194,x17195),f388(x17192,x17193,x17194,x17195))
% 218.59/218.73 [1720]~E(x17201,x17202)+E(f388(x17203,x17201,x17204,x17205),f388(x17203,x17202,x17204,x17205))
% 218.59/218.73 [1721]~E(x17211,x17212)+E(f388(x17213,x17214,x17211,x17215),f388(x17213,x17214,x17212,x17215))
% 218.59/218.73 [1722]~E(x17221,x17222)+E(f388(x17223,x17224,x17225,x17221),f388(x17223,x17224,x17225,x17222))
% 218.59/218.73 [1723]~E(x17231,x17232)+E(f541(x17231,x17233,x17234),f541(x17232,x17233,x17234))
% 218.59/218.73 [1724]~E(x17241,x17242)+E(f541(x17243,x17241,x17244),f541(x17243,x17242,x17244))
% 218.59/218.73 [1725]~E(x17251,x17252)+E(f541(x17253,x17254,x17251),f541(x17253,x17254,x17252))
% 218.59/218.73 [1726]~E(x17261,x17262)+E(f485(x17261,x17263,x17264,x17265,x17266),f485(x17262,x17263,x17264,x17265,x17266))
% 218.59/218.73 [1727]~E(x17271,x17272)+E(f485(x17273,x17271,x17274,x17275,x17276),f485(x17273,x17272,x17274,x17275,x17276))
% 218.59/218.73 [1728]~E(x17281,x17282)+E(f485(x17283,x17284,x17281,x17285,x17286),f485(x17283,x17284,x17282,x17285,x17286))
% 218.59/218.73 [1729]~E(x17291,x17292)+E(f485(x17293,x17294,x17295,x17291,x17296),f485(x17293,x17294,x17295,x17292,x17296))
% 218.59/218.73 [1730]~E(x17301,x17302)+E(f485(x17303,x17304,x17305,x17306,x17301),f485(x17303,x17304,x17305,x17306,x17302))
% 218.59/218.73 [1731]~E(x17311,x17312)+E(f444(x17311,x17313,x17314),f444(x17312,x17313,x17314))
% 218.59/218.73 [1732]~E(x17321,x17322)+E(f444(x17323,x17321,x17324),f444(x17323,x17322,x17324))
% 218.59/218.73 [1733]~E(x17331,x17332)+E(f444(x17333,x17334,x17331),f444(x17333,x17334,x17332))
% 218.59/218.73 [1734]~E(x17341,x17342)+E(f737(x17341,x17343,x17344,x17345),f737(x17342,x17343,x17344,x17345))
% 218.59/218.73 [1735]~E(x17351,x17352)+E(f737(x17353,x17351,x17354,x17355),f737(x17353,x17352,x17354,x17355))
% 218.59/218.73 [1736]~E(x17361,x17362)+E(f737(x17363,x17364,x17361,x17365),f737(x17363,x17364,x17362,x17365))
% 218.59/218.73 [1737]~E(x17371,x17372)+E(f737(x17373,x17374,x17375,x17371),f737(x17373,x17374,x17375,x17372))
% 218.59/218.73 [1738]~E(x17381,x17382)+E(f627(x17381,x17383,x17384),f627(x17382,x17383,x17384))
% 218.59/218.73 [1739]~E(x17391,x17392)+E(f627(x17393,x17391,x17394),f627(x17393,x17392,x17394))
% 218.59/218.73 [1740]~E(x17401,x17402)+E(f627(x17403,x17404,x17401),f627(x17403,x17404,x17402))
% 218.59/218.73 [1741]~E(x17411,x17412)+E(f578(x17411,x17413),f578(x17412,x17413))
% 218.59/218.73 [1742]~E(x17421,x17422)+E(f578(x17423,x17421),f578(x17423,x17422))
% 218.59/218.73 [1743]~E(x17431,x17432)+E(f516(x17431,x17433,x17434),f516(x17432,x17433,x17434))
% 218.59/218.73 [1744]~E(x17441,x17442)+E(f516(x17443,x17441,x17444),f516(x17443,x17442,x17444))
% 218.59/218.73 [1745]~E(x17451,x17452)+E(f516(x17453,x17454,x17451),f516(x17453,x17454,x17452))
% 218.59/218.73 [1746]~E(x17461,x17462)+E(f198(x17461),f198(x17462))
% 218.59/218.73 [1747]~E(x17471,x17472)+E(f460(x17471,x17473,x17474),f460(x17472,x17473,x17474))
% 218.59/218.73 [1748]~E(x17481,x17482)+E(f460(x17483,x17481,x17484),f460(x17483,x17482,x17484))
% 218.59/218.73 [1749]~E(x17491,x17492)+E(f460(x17493,x17494,x17491),f460(x17493,x17494,x17492))
% 218.59/218.73 [1750]~E(x17501,x17502)+E(f428(x17501,x17503,x17504),f428(x17502,x17503,x17504))
% 218.59/218.73 [1751]~E(x17511,x17512)+E(f428(x17513,x17511,x17514),f428(x17513,x17512,x17514))
% 218.59/218.73 [1752]~E(x17521,x17522)+E(f428(x17523,x17524,x17521),f428(x17523,x17524,x17522))
% 218.59/218.73 [1753]~E(x17531,x17532)+E(f623(x17531,x17533,x17534),f623(x17532,x17533,x17534))
% 218.59/218.73 [1754]~E(x17541,x17542)+E(f623(x17543,x17541,x17544),f623(x17543,x17542,x17544))
% 218.59/218.73 [1755]~E(x17551,x17552)+E(f623(x17553,x17554,x17551),f623(x17553,x17554,x17552))
% 218.59/218.73 [1756]~E(x17561,x17562)+E(f374(x17561,x17563,x17564,x17565),f374(x17562,x17563,x17564,x17565))
% 218.59/218.73 [1757]~E(x17571,x17572)+E(f374(x17573,x17571,x17574,x17575),f374(x17573,x17572,x17574,x17575))
% 218.59/218.73 [1758]~E(x17581,x17582)+E(f374(x17583,x17584,x17581,x17585),f374(x17583,x17584,x17582,x17585))
% 218.59/218.73 [1759]~E(x17591,x17592)+E(f374(x17593,x17594,x17595,x17591),f374(x17593,x17594,x17595,x17592))
% 218.59/218.73 [1760]~E(x17601,x17602)+E(f864(x17601,x17603,x17604),f864(x17602,x17603,x17604))
% 218.59/218.73 [1761]~E(x17611,x17612)+E(f864(x17613,x17611,x17614),f864(x17613,x17612,x17614))
% 218.59/218.73 [1762]~E(x17621,x17622)+E(f864(x17623,x17624,x17621),f864(x17623,x17624,x17622))
% 218.59/218.73 [1763]~E(x17631,x17632)+E(f507(x17631,x17633,x17634,x17635,x17636),f507(x17632,x17633,x17634,x17635,x17636))
% 218.59/218.73 [1764]~E(x17641,x17642)+E(f507(x17643,x17641,x17644,x17645,x17646),f507(x17643,x17642,x17644,x17645,x17646))
% 218.59/218.73 [1765]~E(x17651,x17652)+E(f507(x17653,x17654,x17651,x17655,x17656),f507(x17653,x17654,x17652,x17655,x17656))
% 218.59/218.73 [1766]~E(x17661,x17662)+E(f507(x17663,x17664,x17665,x17661,x17666),f507(x17663,x17664,x17665,x17662,x17666))
% 218.59/218.73 [1767]~E(x17671,x17672)+E(f507(x17673,x17674,x17675,x17676,x17671),f507(x17673,x17674,x17675,x17676,x17672))
% 218.59/218.73 [1768]~E(x17681,x17682)+E(f555(x17681),f555(x17682))
% 218.59/218.73 [1769]~E(x17691,x17692)+E(f381(x17691,x17693,x17694,x17695),f381(x17692,x17693,x17694,x17695))
% 218.59/218.73 [1770]~E(x17701,x17702)+E(f381(x17703,x17701,x17704,x17705),f381(x17703,x17702,x17704,x17705))
% 218.59/218.73 [1771]~E(x17711,x17712)+E(f381(x17713,x17714,x17711,x17715),f381(x17713,x17714,x17712,x17715))
% 218.59/218.73 [1772]~E(x17721,x17722)+E(f381(x17723,x17724,x17725,x17721),f381(x17723,x17724,x17725,x17722))
% 218.59/218.73 [1773]~E(x17731,x17732)+E(f389(x17731,x17733,x17734,x17735,x17736,x17737,x17738),f389(x17732,x17733,x17734,x17735,x17736,x17737,x17738))
% 218.59/218.73 [1774]~E(x17741,x17742)+E(f389(x17743,x17741,x17744,x17745,x17746,x17747,x17748),f389(x17743,x17742,x17744,x17745,x17746,x17747,x17748))
% 218.59/218.73 [1775]~E(x17751,x17752)+E(f389(x17753,x17754,x17751,x17755,x17756,x17757,x17758),f389(x17753,x17754,x17752,x17755,x17756,x17757,x17758))
% 218.59/218.73 [1776]~E(x17761,x17762)+E(f389(x17763,x17764,x17765,x17761,x17766,x17767,x17768),f389(x17763,x17764,x17765,x17762,x17766,x17767,x17768))
% 218.59/218.73 [1777]~E(x17771,x17772)+E(f389(x17773,x17774,x17775,x17776,x17771,x17777,x17778),f389(x17773,x17774,x17775,x17776,x17772,x17777,x17778))
% 218.59/218.73 [1778]~E(x17781,x17782)+E(f389(x17783,x17784,x17785,x17786,x17787,x17781,x17788),f389(x17783,x17784,x17785,x17786,x17787,x17782,x17788))
% 218.59/218.73 [1779]~E(x17791,x17792)+E(f389(x17793,x17794,x17795,x17796,x17797,x17798,x17791),f389(x17793,x17794,x17795,x17796,x17797,x17798,x17792))
% 218.59/218.73 [1780]~E(x17801,x17802)+E(f457(x17801,x17803,x17804),f457(x17802,x17803,x17804))
% 218.59/218.73 [1781]~E(x17811,x17812)+E(f457(x17813,x17811,x17814),f457(x17813,x17812,x17814))
% 218.59/218.73 [1782]~E(x17821,x17822)+E(f457(x17823,x17824,x17821),f457(x17823,x17824,x17822))
% 218.59/218.73 [1783]~E(x17831,x17832)+E(f391(x17831,x17833,x17834),f391(x17832,x17833,x17834))
% 218.59/218.73 [1784]~E(x17841,x17842)+E(f391(x17843,x17841,x17844),f391(x17843,x17842,x17844))
% 218.59/218.73 [1785]~E(x17851,x17852)+E(f391(x17853,x17854,x17851),f391(x17853,x17854,x17852))
% 218.59/218.73 [1786]~E(x17861,x17862)+E(f767(x17861,x17863,x17864,x17865),f767(x17862,x17863,x17864,x17865))
% 218.59/218.73 [1787]~E(x17871,x17872)+E(f767(x17873,x17871,x17874,x17875),f767(x17873,x17872,x17874,x17875))
% 218.59/218.73 [1788]~E(x17881,x17882)+E(f767(x17883,x17884,x17881,x17885),f767(x17883,x17884,x17882,x17885))
% 218.59/218.73 [1789]~E(x17891,x17892)+E(f767(x17893,x17894,x17895,x17891),f767(x17893,x17894,x17895,x17892))
% 218.59/218.73 [1790]~E(x17901,x17902)+E(f533(x17901,x17903),f533(x17902,x17903))
% 218.59/218.73 [1791]~E(x17911,x17912)+E(f533(x17913,x17911),f533(x17913,x17912))
% 218.59/218.73 [1792]~E(x17921,x17922)+E(f605(x17921,x17923,x17924),f605(x17922,x17923,x17924))
% 218.59/218.73 [1793]~E(x17931,x17932)+E(f605(x17933,x17931,x17934),f605(x17933,x17932,x17934))
% 218.59/218.73 [1794]~E(x17941,x17942)+E(f605(x17943,x17944,x17941),f605(x17943,x17944,x17942))
% 218.59/218.73 [1795]~E(x17951,x17952)+E(f779(x17951,x17953,x17954),f779(x17952,x17953,x17954))
% 218.59/218.73 [1796]~E(x17961,x17962)+E(f779(x17963,x17961,x17964),f779(x17963,x17962,x17964))
% 218.59/218.73 [1797]~E(x17971,x17972)+E(f779(x17973,x17974,x17971),f779(x17973,x17974,x17972))
% 218.59/218.73 [1798]~E(x17981,x17982)+E(f726(x17981,x17983,x17984),f726(x17982,x17983,x17984))
% 218.59/218.73 [1799]~E(x17991,x17992)+E(f726(x17993,x17991,x17994),f726(x17993,x17992,x17994))
% 218.59/218.73 [1800]~E(x18001,x18002)+E(f726(x18003,x18004,x18001),f726(x18003,x18004,x18002))
% 218.59/218.73 [1801]~E(x18011,x18012)+E(f348(x18011,x18013,x18014,x18015),f348(x18012,x18013,x18014,x18015))
% 218.59/218.73 [1802]~E(x18021,x18022)+E(f348(x18023,x18021,x18024,x18025),f348(x18023,x18022,x18024,x18025))
% 218.59/218.73 [1803]~E(x18031,x18032)+E(f348(x18033,x18034,x18031,x18035),f348(x18033,x18034,x18032,x18035))
% 218.59/218.73 [1804]~E(x18041,x18042)+E(f348(x18043,x18044,x18045,x18041),f348(x18043,x18044,x18045,x18042))
% 218.59/218.73 [1805]~E(x18051,x18052)+E(f453(x18051),f453(x18052))
% 218.59/218.73 [1806]~E(x18061,x18062)+E(f655(x18061,x18063,x18064,x18065,x18066),f655(x18062,x18063,x18064,x18065,x18066))
% 218.59/218.73 [1807]~E(x18071,x18072)+E(f655(x18073,x18071,x18074,x18075,x18076),f655(x18073,x18072,x18074,x18075,x18076))
% 218.59/218.73 [1808]~E(x18081,x18082)+E(f655(x18083,x18084,x18081,x18085,x18086),f655(x18083,x18084,x18082,x18085,x18086))
% 218.59/218.73 [1809]~E(x18091,x18092)+E(f655(x18093,x18094,x18095,x18091,x18096),f655(x18093,x18094,x18095,x18092,x18096))
% 218.59/218.73 [1810]~E(x18101,x18102)+E(f655(x18103,x18104,x18105,x18106,x18101),f655(x18103,x18104,x18105,x18106,x18102))
% 218.59/218.73 [1811]~E(x18111,x18112)+E(f127(x18111),f127(x18112))
% 218.59/218.73 [1812]~E(x18121,x18122)+E(f733(x18121,x18123,x18124),f733(x18122,x18123,x18124))
% 218.59/218.73 [1813]~E(x18131,x18132)+E(f733(x18133,x18131,x18134),f733(x18133,x18132,x18134))
% 218.59/218.73 [1814]~E(x18141,x18142)+E(f733(x18143,x18144,x18141),f733(x18143,x18144,x18142))
% 218.59/218.73 [1815]~E(x18151,x18152)+E(f810(x18151,x18153,x18154,x18155),f810(x18152,x18153,x18154,x18155))
% 218.59/218.73 [1816]~E(x18161,x18162)+E(f810(x18163,x18161,x18164,x18165),f810(x18163,x18162,x18164,x18165))
% 218.59/218.73 [1817]~E(x18171,x18172)+E(f810(x18173,x18174,x18171,x18175),f810(x18173,x18174,x18172,x18175))
% 218.59/218.73 [1818]~E(x18181,x18182)+E(f810(x18183,x18184,x18185,x18181),f810(x18183,x18184,x18185,x18182))
% 218.59/218.73 [1819]~E(x18191,x18192)+E(f370(x18191,x18193),f370(x18192,x18193))
% 218.59/218.73 [1820]~E(x18201,x18202)+E(f370(x18203,x18201),f370(x18203,x18202))
% 218.59/218.73 [1821]~E(x18211,x18212)+E(f158(x18211,x18213,x18214),f158(x18212,x18213,x18214))
% 218.59/218.73 [1822]~E(x18221,x18222)+E(f158(x18223,x18221,x18224),f158(x18223,x18222,x18224))
% 218.59/218.73 [1823]~E(x18231,x18232)+E(f158(x18233,x18234,x18231),f158(x18233,x18234,x18232))
% 218.59/218.73 [1824]~E(x18241,x18242)+E(f834(x18241,x18243,x18244),f834(x18242,x18243,x18244))
% 218.59/218.73 [1825]~E(x18251,x18252)+E(f834(x18253,x18251,x18254),f834(x18253,x18252,x18254))
% 218.59/218.73 [1826]~E(x18261,x18262)+E(f834(x18263,x18264,x18261),f834(x18263,x18264,x18262))
% 218.59/218.73 [1827]~E(x18271,x18272)+E(f848(x18271,x18273,x18274),f848(x18272,x18273,x18274))
% 218.59/218.73 [1828]~E(x18281,x18282)+E(f848(x18283,x18281,x18284),f848(x18283,x18282,x18284))
% 218.59/218.73 [1829]~E(x18291,x18292)+E(f848(x18293,x18294,x18291),f848(x18293,x18294,x18292))
% 218.59/218.73 [1830]~E(x18301,x18302)+E(f384(x18301,x18303),f384(x18302,x18303))
% 218.59/218.73 [1831]~E(x18311,x18312)+E(f384(x18313,x18311),f384(x18313,x18312))
% 218.59/218.73 [1832]~E(x18321,x18322)+E(f330(x18321,x18323,x18324,x18325,x18326),f330(x18322,x18323,x18324,x18325,x18326))
% 218.59/218.73 [1833]~E(x18331,x18332)+E(f330(x18333,x18331,x18334,x18335,x18336),f330(x18333,x18332,x18334,x18335,x18336))
% 218.59/218.73 [1834]~E(x18341,x18342)+E(f330(x18343,x18344,x18341,x18345,x18346),f330(x18343,x18344,x18342,x18345,x18346))
% 218.59/218.73 [1835]~E(x18351,x18352)+E(f330(x18353,x18354,x18355,x18351,x18356),f330(x18353,x18354,x18355,x18352,x18356))
% 218.59/218.73 [1836]~E(x18361,x18362)+E(f330(x18363,x18364,x18365,x18366,x18361),f330(x18363,x18364,x18365,x18366,x18362))
% 218.59/218.73 [1837]~E(x18371,x18372)+E(f763(x18371,x18373,x18374,x18375,x18376),f763(x18372,x18373,x18374,x18375,x18376))
% 218.59/218.73 [1838]~E(x18381,x18382)+E(f763(x18383,x18381,x18384,x18385,x18386),f763(x18383,x18382,x18384,x18385,x18386))
% 218.59/218.73 [1839]~E(x18391,x18392)+E(f763(x18393,x18394,x18391,x18395,x18396),f763(x18393,x18394,x18392,x18395,x18396))
% 218.59/218.73 [1840]~E(x18401,x18402)+E(f763(x18403,x18404,x18405,x18401,x18406),f763(x18403,x18404,x18405,x18402,x18406))
% 218.59/218.73 [1841]~E(x18411,x18412)+E(f763(x18413,x18414,x18415,x18416,x18411),f763(x18413,x18414,x18415,x18416,x18412))
% 218.59/218.73 [1842]~E(x18421,x18422)+E(f856(x18421,x18423,x18424),f856(x18422,x18423,x18424))
% 218.59/218.73 [1843]~E(x18431,x18432)+E(f856(x18433,x18431,x18434),f856(x18433,x18432,x18434))
% 218.59/218.73 [1844]~E(x18441,x18442)+E(f856(x18443,x18444,x18441),f856(x18443,x18444,x18442))
% 218.59/218.73 [1845]~E(x18451,x18452)+E(f491(x18451,x18453,x18454,x18455),f491(x18452,x18453,x18454,x18455))
% 218.59/218.73 [1846]~E(x18461,x18462)+E(f491(x18463,x18461,x18464,x18465),f491(x18463,x18462,x18464,x18465))
% 218.59/218.73 [1847]~E(x18471,x18472)+E(f491(x18473,x18474,x18471,x18475),f491(x18473,x18474,x18472,x18475))
% 218.59/218.73 [1848]~E(x18481,x18482)+E(f491(x18483,x18484,x18485,x18481),f491(x18483,x18484,x18485,x18482))
% 218.59/218.73 [1849]~E(x18491,x18492)+E(f219(x18491,x18493,x18494,x18495,x18496),f219(x18492,x18493,x18494,x18495,x18496))
% 218.59/218.73 [1850]~E(x18501,x18502)+E(f219(x18503,x18501,x18504,x18505,x18506),f219(x18503,x18502,x18504,x18505,x18506))
% 218.59/218.73 [1851]~E(x18511,x18512)+E(f219(x18513,x18514,x18511,x18515,x18516),f219(x18513,x18514,x18512,x18515,x18516))
% 218.59/218.73 [1852]~E(x18521,x18522)+E(f219(x18523,x18524,x18525,x18521,x18526),f219(x18523,x18524,x18525,x18522,x18526))
% 218.59/218.73 [1853]~E(x18531,x18532)+E(f219(x18533,x18534,x18535,x18536,x18531),f219(x18533,x18534,x18535,x18536,x18532))
% 218.59/218.73 [1854]~E(x18541,x18542)+E(f433(x18541),f433(x18542))
% 218.59/218.73 [1855]~E(x18551,x18552)+E(f647(x18551,x18553,x18554,x18555),f647(x18552,x18553,x18554,x18555))
% 218.59/218.73 [1856]~E(x18561,x18562)+E(f647(x18563,x18561,x18564,x18565),f647(x18563,x18562,x18564,x18565))
% 218.59/218.73 [1857]~E(x18571,x18572)+E(f647(x18573,x18574,x18571,x18575),f647(x18573,x18574,x18572,x18575))
% 218.59/218.73 [1858]~E(x18581,x18582)+E(f647(x18583,x18584,x18585,x18581),f647(x18583,x18584,x18585,x18582))
% 218.59/218.73 [1859]~E(x18591,x18592)+E(f526(x18591),f526(x18592))
% 218.59/218.73 [1860]~E(x18601,x18602)+E(f620(x18601,x18603,x18604),f620(x18602,x18603,x18604))
% 218.59/218.73 [1861]~E(x18611,x18612)+E(f620(x18613,x18611,x18614),f620(x18613,x18612,x18614))
% 218.59/218.73 [1862]~E(x18621,x18622)+E(f620(x18623,x18624,x18621),f620(x18623,x18624,x18622))
% 218.59/218.73 [1863]~E(x18631,x18632)+E(f612(x18631,x18633,x18634),f612(x18632,x18633,x18634))
% 218.59/218.73 [1864]~E(x18641,x18642)+E(f612(x18643,x18641,x18644),f612(x18643,x18642,x18644))
% 218.59/218.73 [1865]~E(x18651,x18652)+E(f612(x18653,x18654,x18651),f612(x18653,x18654,x18652))
% 218.59/218.73 [1866]~E(x18661,x18662)+E(f390(x18661,x18663,x18664),f390(x18662,x18663,x18664))
% 218.59/218.73 [1867]~E(x18671,x18672)+E(f390(x18673,x18671,x18674),f390(x18673,x18672,x18674))
% 218.59/218.73 [1868]~E(x18681,x18682)+E(f390(x18683,x18684,x18681),f390(x18683,x18684,x18682))
% 218.59/218.73 [1869]~E(x18691,x18692)+E(f483(x18691,x18693,x18694,x18695),f483(x18692,x18693,x18694,x18695))
% 218.59/218.73 [1870]~E(x18701,x18702)+E(f483(x18703,x18701,x18704,x18705),f483(x18703,x18702,x18704,x18705))
% 218.59/218.73 [1871]~E(x18711,x18712)+E(f483(x18713,x18714,x18711,x18715),f483(x18713,x18714,x18712,x18715))
% 218.59/218.73 [1872]~E(x18721,x18722)+E(f483(x18723,x18724,x18725,x18721),f483(x18723,x18724,x18725,x18722))
% 218.59/218.73 [1873]~E(x18731,x18732)+E(f644(x18731,x18733,x18734,x18735,x18736),f644(x18732,x18733,x18734,x18735,x18736))
% 218.59/218.73 [1874]~E(x18741,x18742)+E(f644(x18743,x18741,x18744,x18745,x18746),f644(x18743,x18742,x18744,x18745,x18746))
% 218.59/218.73 [1875]~E(x18751,x18752)+E(f644(x18753,x18754,x18751,x18755,x18756),f644(x18753,x18754,x18752,x18755,x18756))
% 218.59/218.73 [1876]~E(x18761,x18762)+E(f644(x18763,x18764,x18765,x18761,x18766),f644(x18763,x18764,x18765,x18762,x18766))
% 218.59/218.73 [1877]~E(x18771,x18772)+E(f644(x18773,x18774,x18775,x18776,x18771),f644(x18773,x18774,x18775,x18776,x18772))
% 218.59/218.73 [1878]~E(x18781,x18782)+E(f342(x18781,x18783,x18784),f342(x18782,x18783,x18784))
% 218.59/218.73 [1879]~E(x18791,x18792)+E(f342(x18793,x18791,x18794),f342(x18793,x18792,x18794))
% 218.59/218.73 [1880]~E(x18801,x18802)+E(f342(x18803,x18804,x18801),f342(x18803,x18804,x18802))
% 218.59/218.73 [1881]~E(x18811,x18812)+E(f787(x18811,x18813,x18814,x18815),f787(x18812,x18813,x18814,x18815))
% 218.59/218.73 [1882]~E(x18821,x18822)+E(f787(x18823,x18821,x18824,x18825),f787(x18823,x18822,x18824,x18825))
% 218.59/218.73 [1883]~E(x18831,x18832)+E(f787(x18833,x18834,x18831,x18835),f787(x18833,x18834,x18832,x18835))
% 218.59/218.73 [1884]~E(x18841,x18842)+E(f787(x18843,x18844,x18845,x18841),f787(x18843,x18844,x18845,x18842))
% 218.59/218.73 [1885]~E(x18851,x18852)+E(f596(x18851,x18853,x18854,x18855,x18856,x18857,x18858),f596(x18852,x18853,x18854,x18855,x18856,x18857,x18858))
% 218.59/218.73 [1886]~E(x18861,x18862)+E(f596(x18863,x18861,x18864,x18865,x18866,x18867,x18868),f596(x18863,x18862,x18864,x18865,x18866,x18867,x18868))
% 218.59/218.73 [1887]~E(x18871,x18872)+E(f596(x18873,x18874,x18871,x18875,x18876,x18877,x18878),f596(x18873,x18874,x18872,x18875,x18876,x18877,x18878))
% 218.59/218.73 [1888]~E(x18881,x18882)+E(f596(x18883,x18884,x18885,x18881,x18886,x18887,x18888),f596(x18883,x18884,x18885,x18882,x18886,x18887,x18888))
% 218.59/218.73 [1889]~E(x18891,x18892)+E(f596(x18893,x18894,x18895,x18896,x18891,x18897,x18898),f596(x18893,x18894,x18895,x18896,x18892,x18897,x18898))
% 218.59/218.73 [1890]~E(x18901,x18902)+E(f596(x18903,x18904,x18905,x18906,x18907,x18901,x18908),f596(x18903,x18904,x18905,x18906,x18907,x18902,x18908))
% 218.59/218.73 [1891]~E(x18911,x18912)+E(f596(x18913,x18914,x18915,x18916,x18917,x18918,x18911),f596(x18913,x18914,x18915,x18916,x18917,x18918,x18912))
% 218.59/218.73 [1892]~E(x18921,x18922)+E(f850(x18921,x18923,x18924),f850(x18922,x18923,x18924))
% 218.59/218.73 [1893]~E(x18931,x18932)+E(f850(x18933,x18931,x18934),f850(x18933,x18932,x18934))
% 218.59/218.73 [1894]~E(x18941,x18942)+E(f850(x18943,x18944,x18941),f850(x18943,x18944,x18942))
% 218.59/218.73 [1895]~E(x18951,x18952)+E(f575(x18951,x18953,x18954),f575(x18952,x18953,x18954))
% 218.59/218.73 [1896]~E(x18961,x18962)+E(f575(x18963,x18961,x18964),f575(x18963,x18962,x18964))
% 218.59/218.73 [1897]~E(x18971,x18972)+E(f575(x18973,x18974,x18971),f575(x18973,x18974,x18972))
% 218.59/218.73 [1898]~E(x18981,x18982)+E(f838(x18981,x18983,x18984),f838(x18982,x18983,x18984))
% 218.59/218.73 [1899]~E(x18991,x18992)+E(f838(x18993,x18991,x18994),f838(x18993,x18992,x18994))
% 218.59/218.73 [1900]~E(x19001,x19002)+E(f838(x19003,x19004,x19001),f838(x19003,x19004,x19002))
% 218.59/218.73 [1901]~E(x19011,x19012)+E(f350(x19011,x19013,x19014,x19015),f350(x19012,x19013,x19014,x19015))
% 218.59/218.73 [1902]~E(x19021,x19022)+E(f350(x19023,x19021,x19024,x19025),f350(x19023,x19022,x19024,x19025))
% 218.59/218.73 [1903]~E(x19031,x19032)+E(f350(x19033,x19034,x19031,x19035),f350(x19033,x19034,x19032,x19035))
% 218.59/218.73 [1904]~E(x19041,x19042)+E(f350(x19043,x19044,x19045,x19041),f350(x19043,x19044,x19045,x19042))
% 218.59/218.73 [1905]~E(x19051,x19052)+E(f204(x19051,x19053,x19054,x19055),f204(x19052,x19053,x19054,x19055))
% 218.59/218.73 [1906]~E(x19061,x19062)+E(f204(x19063,x19061,x19064,x19065),f204(x19063,x19062,x19064,x19065))
% 218.59/218.73 [1907]~E(x19071,x19072)+E(f204(x19073,x19074,x19071,x19075),f204(x19073,x19074,x19072,x19075))
% 218.59/218.73 [1908]~E(x19081,x19082)+E(f204(x19083,x19084,x19085,x19081),f204(x19083,x19084,x19085,x19082))
% 218.59/218.73 [1909]~E(x19091,x19092)+E(f405(x19091,x19093,x19094,x19095,x19096),f405(x19092,x19093,x19094,x19095,x19096))
% 218.59/218.73 [1910]~E(x19101,x19102)+E(f405(x19103,x19101,x19104,x19105,x19106),f405(x19103,x19102,x19104,x19105,x19106))
% 218.59/218.73 [1911]~E(x19111,x19112)+E(f405(x19113,x19114,x19111,x19115,x19116),f405(x19113,x19114,x19112,x19115,x19116))
% 218.59/218.73 [1912]~E(x19121,x19122)+E(f405(x19123,x19124,x19125,x19121,x19126),f405(x19123,x19124,x19125,x19122,x19126))
% 218.59/218.73 [1913]~E(x19131,x19132)+E(f405(x19133,x19134,x19135,x19136,x19131),f405(x19133,x19134,x19135,x19136,x19132))
% 218.59/218.73 [1914]~E(x19141,x19142)+E(f866(x19141,x19143,x19144),f866(x19142,x19143,x19144))
% 218.59/218.73 [1915]~E(x19151,x19152)+E(f866(x19153,x19151,x19154),f866(x19153,x19152,x19154))
% 218.59/218.73 [1916]~E(x19161,x19162)+E(f866(x19163,x19164,x19161),f866(x19163,x19164,x19162))
% 218.59/218.73 [1917]~E(x19171,x19172)+E(f837(x19171,x19173,x19174),f837(x19172,x19173,x19174))
% 218.59/218.73 [1918]~E(x19181,x19182)+E(f837(x19183,x19181,x19184),f837(x19183,x19182,x19184))
% 218.59/218.73 [1919]~E(x19191,x19192)+E(f837(x19193,x19194,x19191),f837(x19193,x19194,x19192))
% 218.59/218.73 [1920]~E(x19201,x19202)+E(f693(x19201,x19203,x19204,x19205),f693(x19202,x19203,x19204,x19205))
% 218.59/218.73 [1921]~E(x19211,x19212)+E(f693(x19213,x19211,x19214,x19215),f693(x19213,x19212,x19214,x19215))
% 218.59/218.73 [1922]~E(x19221,x19222)+E(f693(x19223,x19224,x19221,x19225),f693(x19223,x19224,x19222,x19225))
% 218.59/218.73 [1923]~E(x19231,x19232)+E(f693(x19233,x19234,x19235,x19231),f693(x19233,x19234,x19235,x19232))
% 218.59/218.73 [1924]~E(x19241,x19242)+E(f464(x19241,x19243,x19244,x19245,x19246,x19247,x19248),f464(x19242,x19243,x19244,x19245,x19246,x19247,x19248))
% 218.59/218.73 [1925]~E(x19251,x19252)+E(f464(x19253,x19251,x19254,x19255,x19256,x19257,x19258),f464(x19253,x19252,x19254,x19255,x19256,x19257,x19258))
% 218.59/218.73 [1926]~E(x19261,x19262)+E(f464(x19263,x19264,x19261,x19265,x19266,x19267,x19268),f464(x19263,x19264,x19262,x19265,x19266,x19267,x19268))
% 218.59/218.73 [1927]~E(x19271,x19272)+E(f464(x19273,x19274,x19275,x19271,x19276,x19277,x19278),f464(x19273,x19274,x19275,x19272,x19276,x19277,x19278))
% 218.59/218.73 [1928]~E(x19281,x19282)+E(f464(x19283,x19284,x19285,x19286,x19281,x19287,x19288),f464(x19283,x19284,x19285,x19286,x19282,x19287,x19288))
% 218.59/218.73 [1929]~E(x19291,x19292)+E(f464(x19293,x19294,x19295,x19296,x19297,x19291,x19298),f464(x19293,x19294,x19295,x19296,x19297,x19292,x19298))
% 218.59/218.73 [1930]~E(x19301,x19302)+E(f464(x19303,x19304,x19305,x19306,x19307,x19308,x19301),f464(x19303,x19304,x19305,x19306,x19307,x19308,x19302))
% 218.59/218.73 [1931]~E(x19311,x19312)+E(f863(x19311,x19313,x19314,x19315),f863(x19312,x19313,x19314,x19315))
% 218.59/218.73 [1932]~E(x19321,x19322)+E(f863(x19323,x19321,x19324,x19325),f863(x19323,x19322,x19324,x19325))
% 218.59/218.73 [1933]~E(x19331,x19332)+E(f863(x19333,x19334,x19331,x19335),f863(x19333,x19334,x19332,x19335))
% 218.59/218.73 [1934]~E(x19341,x19342)+E(f863(x19343,x19344,x19345,x19341),f863(x19343,x19344,x19345,x19342))
% 218.59/218.73 [1935]~E(x19351,x19352)+E(f359(x19351),f359(x19352))
% 218.59/218.73 [1936]~E(x19361,x19362)+E(f778(x19361,x19363,x19364),f778(x19362,x19363,x19364))
% 218.59/218.73 [1937]~E(x19371,x19372)+E(f778(x19373,x19371,x19374),f778(x19373,x19372,x19374))
% 218.59/218.73 [1938]~E(x19381,x19382)+E(f778(x19383,x19384,x19381),f778(x19383,x19384,x19382))
% 218.59/218.73 [1939]~E(x19391,x19392)+E(f687(x19391,x19393,x19394),f687(x19392,x19393,x19394))
% 218.59/218.73 [1940]~E(x19401,x19402)+E(f687(x19403,x19401,x19404),f687(x19403,x19402,x19404))
% 218.59/218.73 [1941]~E(x19411,x19412)+E(f687(x19413,x19414,x19411),f687(x19413,x19414,x19412))
% 218.59/218.73 [1942]~E(x19421,x19422)+E(f609(x19421,x19423),f609(x19422,x19423))
% 218.59/218.73 [1943]~E(x19431,x19432)+E(f609(x19433,x19431),f609(x19433,x19432))
% 218.59/218.73 [1944]~E(x19441,x19442)+E(f702(x19441,x19443),f702(x19442,x19443))
% 218.59/218.73 [1945]~E(x19451,x19452)+E(f702(x19453,x19451),f702(x19453,x19452))
% 218.59/218.73 [1946]~E(x19461,x19462)+E(f796(x19461,x19463,x19464),f796(x19462,x19463,x19464))
% 218.59/218.73 [1947]~E(x19471,x19472)+E(f796(x19473,x19471,x19474),f796(x19473,x19472,x19474))
% 218.59/218.73 [1948]~E(x19481,x19482)+E(f796(x19483,x19484,x19481),f796(x19483,x19484,x19482))
% 218.59/218.73 [1949]~E(x19491,x19492)+E(f404(x19491,x19493,x19494,x19495,x19496),f404(x19492,x19493,x19494,x19495,x19496))
% 218.59/218.73 [1950]~E(x19501,x19502)+E(f404(x19503,x19501,x19504,x19505,x19506),f404(x19503,x19502,x19504,x19505,x19506))
% 218.59/218.73 [1951]~E(x19511,x19512)+E(f404(x19513,x19514,x19511,x19515,x19516),f404(x19513,x19514,x19512,x19515,x19516))
% 218.59/218.73 [1952]~E(x19521,x19522)+E(f404(x19523,x19524,x19525,x19521,x19526),f404(x19523,x19524,x19525,x19522,x19526))
% 218.59/218.73 [1953]~E(x19531,x19532)+E(f404(x19533,x19534,x19535,x19536,x19531),f404(x19533,x19534,x19535,x19536,x19532))
% 218.59/218.73 [1954]~E(x19541,x19542)+E(f413(x19541,x19543),f413(x19542,x19543))
% 218.59/218.73 [1955]~E(x19551,x19552)+E(f413(x19553,x19551),f413(x19553,x19552))
% 218.59/218.73 [1956]~E(x19561,x19562)+E(f680(x19561,x19563,x19564),f680(x19562,x19563,x19564))
% 218.59/218.73 [1957]~E(x19571,x19572)+E(f680(x19573,x19571,x19574),f680(x19573,x19572,x19574))
% 218.59/218.73 [1958]~E(x19581,x19582)+E(f680(x19583,x19584,x19581),f680(x19583,x19584,x19582))
% 218.59/218.73 [1959]~E(x19591,x19592)+E(f87(x19591),f87(x19592))
% 218.59/218.73 [1960]~E(x19601,x19602)+E(f672(x19601,x19603,x19604,x19605,x19606),f672(x19602,x19603,x19604,x19605,x19606))
% 218.59/218.73 [1961]~E(x19611,x19612)+E(f672(x19613,x19611,x19614,x19615,x19616),f672(x19613,x19612,x19614,x19615,x19616))
% 218.59/218.73 [1962]~E(x19621,x19622)+E(f672(x19623,x19624,x19621,x19625,x19626),f672(x19623,x19624,x19622,x19625,x19626))
% 218.59/218.73 [1963]~E(x19631,x19632)+E(f672(x19633,x19634,x19635,x19631,x19636),f672(x19633,x19634,x19635,x19632,x19636))
% 218.59/218.73 [1964]~E(x19641,x19642)+E(f672(x19643,x19644,x19645,x19646,x19641),f672(x19643,x19644,x19645,x19646,x19642))
% 218.59/218.73 [1965]~E(x19651,x19652)+E(f505(x19651,x19653,x19654,x19655,x19656,x19657),f505(x19652,x19653,x19654,x19655,x19656,x19657))
% 218.59/218.73 [1966]~E(x19661,x19662)+E(f505(x19663,x19661,x19664,x19665,x19666,x19667),f505(x19663,x19662,x19664,x19665,x19666,x19667))
% 218.59/218.73 [1967]~E(x19671,x19672)+E(f505(x19673,x19674,x19671,x19675,x19676,x19677),f505(x19673,x19674,x19672,x19675,x19676,x19677))
% 218.59/218.73 [1968]~E(x19681,x19682)+E(f505(x19683,x19684,x19685,x19681,x19686,x19687),f505(x19683,x19684,x19685,x19682,x19686,x19687))
% 218.59/218.73 [1969]~E(x19691,x19692)+E(f505(x19693,x19694,x19695,x19696,x19691,x19697),f505(x19693,x19694,x19695,x19696,x19692,x19697))
% 218.59/218.73 [1970]~E(x19701,x19702)+E(f505(x19703,x19704,x19705,x19706,x19707,x19701),f505(x19703,x19704,x19705,x19706,x19707,x19702))
% 218.59/218.73 [1971]~E(x19711,x19712)+E(f393(x19711,x19713,x19714),f393(x19712,x19713,x19714))
% 218.59/218.73 [1972]~E(x19721,x19722)+E(f393(x19723,x19721,x19724),f393(x19723,x19722,x19724))
% 218.59/218.73 [1973]~E(x19731,x19732)+E(f393(x19733,x19734,x19731),f393(x19733,x19734,x19732))
% 218.59/218.73 [1974]~E(x19741,x19742)+E(f585(x19741,x19743,x19744,x19745,x19746,x19747),f585(x19742,x19743,x19744,x19745,x19746,x19747))
% 218.59/218.73 [1975]~E(x19751,x19752)+E(f585(x19753,x19751,x19754,x19755,x19756,x19757),f585(x19753,x19752,x19754,x19755,x19756,x19757))
% 218.59/218.73 [1976]~E(x19761,x19762)+E(f585(x19763,x19764,x19761,x19765,x19766,x19767),f585(x19763,x19764,x19762,x19765,x19766,x19767))
% 218.59/218.73 [1977]~E(x19771,x19772)+E(f585(x19773,x19774,x19775,x19771,x19776,x19777),f585(x19773,x19774,x19775,x19772,x19776,x19777))
% 218.59/218.73 [1978]~E(x19781,x19782)+E(f585(x19783,x19784,x19785,x19786,x19781,x19787),f585(x19783,x19784,x19785,x19786,x19782,x19787))
% 218.59/218.73 [1979]~E(x19791,x19792)+E(f585(x19793,x19794,x19795,x19796,x19797,x19791),f585(x19793,x19794,x19795,x19796,x19797,x19792))
% 218.59/218.73 [1980]~E(x19801,x19802)+E(f387(x19801,x19803,x19804,x19805),f387(x19802,x19803,x19804,x19805))
% 218.59/218.73 [1981]~E(x19811,x19812)+E(f387(x19813,x19811,x19814,x19815),f387(x19813,x19812,x19814,x19815))
% 218.59/218.73 [1982]~E(x19821,x19822)+E(f387(x19823,x19824,x19821,x19825),f387(x19823,x19824,x19822,x19825))
% 218.59/218.73 [1983]~E(x19831,x19832)+E(f387(x19833,x19834,x19835,x19831),f387(x19833,x19834,x19835,x19832))
% 218.59/218.73 [1984]~E(x19841,x19842)+E(f598(x19841,x19843,x19844,x19845,x19846),f598(x19842,x19843,x19844,x19845,x19846))
% 218.59/218.73 [1985]~E(x19851,x19852)+E(f598(x19853,x19851,x19854,x19855,x19856),f598(x19853,x19852,x19854,x19855,x19856))
% 218.59/218.73 [1986]~E(x19861,x19862)+E(f598(x19863,x19864,x19861,x19865,x19866),f598(x19863,x19864,x19862,x19865,x19866))
% 218.59/218.73 [1987]~E(x19871,x19872)+E(f598(x19873,x19874,x19875,x19871,x19876),f598(x19873,x19874,x19875,x19872,x19876))
% 218.59/218.73 [1988]~E(x19881,x19882)+E(f598(x19883,x19884,x19885,x19886,x19881),f598(x19883,x19884,x19885,x19886,x19882))
% 218.59/218.73 [1989]~E(x19891,x19892)+E(f676(x19891,x19893,x19894),f676(x19892,x19893,x19894))
% 218.59/218.73 [1990]~E(x19901,x19902)+E(f676(x19903,x19901,x19904),f676(x19903,x19902,x19904))
% 218.59/218.73 [1991]~E(x19911,x19912)+E(f676(x19913,x19914,x19911),f676(x19913,x19914,x19912))
% 218.59/218.73 [1992]~E(x19921,x19922)+E(f586(x19921,x19923,x19924),f586(x19922,x19923,x19924))
% 218.59/218.73 [1993]~E(x19931,x19932)+E(f586(x19933,x19931,x19934),f586(x19933,x19932,x19934))
% 218.59/218.73 [1994]~E(x19941,x19942)+E(f586(x19943,x19944,x19941),f586(x19943,x19944,x19942))
% 218.59/218.73 [1995]~E(x19951,x19952)+E(f877(x19951,x19953,x19954,x19955),f877(x19952,x19953,x19954,x19955))
% 218.59/218.73 [1996]~E(x19961,x19962)+E(f877(x19963,x19961,x19964,x19965),f877(x19963,x19962,x19964,x19965))
% 218.59/218.73 [1997]~E(x19971,x19972)+E(f877(x19973,x19974,x19971,x19975),f877(x19973,x19974,x19972,x19975))
% 218.59/218.73 [1998]~E(x19981,x19982)+E(f877(x19983,x19984,x19985,x19981),f877(x19983,x19984,x19985,x19982))
% 218.59/218.73 [1999]~E(x19991,x19992)+E(f378(x19991,x19993,x19994),f378(x19992,x19993,x19994))
% 218.59/218.73 [2000]~E(x20001,x20002)+E(f378(x20003,x20001,x20004),f378(x20003,x20002,x20004))
% 218.59/218.73 [2001]~E(x20011,x20012)+E(f378(x20013,x20014,x20011),f378(x20013,x20014,x20012))
% 218.59/218.73 [2002]~E(x20021,x20022)+E(f797(x20021,x20023,x20024),f797(x20022,x20023,x20024))
% 218.59/218.73 [2003]~E(x20031,x20032)+E(f797(x20033,x20031,x20034),f797(x20033,x20032,x20034))
% 218.59/218.73 [2004]~E(x20041,x20042)+E(f797(x20043,x20044,x20041),f797(x20043,x20044,x20042))
% 218.59/218.73 [2005]~E(x20051,x20052)+E(f774(x20051,x20053,x20054),f774(x20052,x20053,x20054))
% 218.59/218.73 [2006]~E(x20061,x20062)+E(f774(x20063,x20061,x20064),f774(x20063,x20062,x20064))
% 218.59/218.73 [2007]~E(x20071,x20072)+E(f774(x20073,x20074,x20071),f774(x20073,x20074,x20072))
% 218.59/218.73 [2008]~E(x20081,x20082)+E(f675(x20081,x20083,x20084),f675(x20082,x20083,x20084))
% 218.59/218.73 [2009]~E(x20091,x20092)+E(f675(x20093,x20091,x20094),f675(x20093,x20092,x20094))
% 218.59/218.73 [2010]~E(x20101,x20102)+E(f675(x20103,x20104,x20101),f675(x20103,x20104,x20102))
% 218.59/218.73 [2011]~E(x20111,x20112)+E(f786(x20111,x20113,x20114,x20115),f786(x20112,x20113,x20114,x20115))
% 218.59/218.73 [2012]~E(x20121,x20122)+E(f786(x20123,x20121,x20124,x20125),f786(x20123,x20122,x20124,x20125))
% 218.59/218.73 [2013]~E(x20131,x20132)+E(f786(x20133,x20134,x20131,x20135),f786(x20133,x20134,x20132,x20135))
% 218.59/218.73 [2014]~E(x20141,x20142)+E(f786(x20143,x20144,x20145,x20141),f786(x20143,x20144,x20145,x20142))
% 218.59/218.73 [2015]~E(x20151,x20152)+E(f558(x20151),f558(x20152))
% 218.59/218.73 [2016]~E(x20161,x20162)+E(f415(x20161,x20163,x20164,x20165,x20166,x20167,x20168),f415(x20162,x20163,x20164,x20165,x20166,x20167,x20168))
% 218.59/218.73 [2017]~E(x20171,x20172)+E(f415(x20173,x20171,x20174,x20175,x20176,x20177,x20178),f415(x20173,x20172,x20174,x20175,x20176,x20177,x20178))
% 218.59/218.73 [2018]~E(x20181,x20182)+E(f415(x20183,x20184,x20181,x20185,x20186,x20187,x20188),f415(x20183,x20184,x20182,x20185,x20186,x20187,x20188))
% 218.59/218.73 [2019]~E(x20191,x20192)+E(f415(x20193,x20194,x20195,x20191,x20196,x20197,x20198),f415(x20193,x20194,x20195,x20192,x20196,x20197,x20198))
% 218.59/218.73 [2020]~E(x20201,x20202)+E(f415(x20203,x20204,x20205,x20206,x20201,x20207,x20208),f415(x20203,x20204,x20205,x20206,x20202,x20207,x20208))
% 218.59/218.73 [2021]~E(x20211,x20212)+E(f415(x20213,x20214,x20215,x20216,x20217,x20211,x20218),f415(x20213,x20214,x20215,x20216,x20217,x20212,x20218))
% 218.59/218.73 [2022]~E(x20221,x20222)+E(f415(x20223,x20224,x20225,x20226,x20227,x20228,x20221),f415(x20223,x20224,x20225,x20226,x20227,x20228,x20222))
% 218.59/218.73 [2023]~E(x20231,x20232)+E(f138(x20231,x20233),f138(x20232,x20233))
% 218.59/218.73 [2024]~E(x20241,x20242)+E(f138(x20243,x20241),f138(x20243,x20242))
% 218.59/218.73 [2025]~E(x20251,x20252)+E(f154(x20251,x20253),f154(x20252,x20253))
% 218.59/218.73 [2026]~E(x20261,x20262)+E(f154(x20263,x20261),f154(x20263,x20262))
% 218.59/218.73 [2027]~E(x20271,x20272)+E(f23(x20271,x20273),f23(x20272,x20273))
% 218.59/218.73 [2028]~E(x20281,x20282)+E(f23(x20283,x20281),f23(x20283,x20282))
% 218.59/218.73 [2029]~E(x20291,x20292)+E(f755(x20291,x20293,x20294),f755(x20292,x20293,x20294))
% 218.59/218.73 [2030]~E(x20301,x20302)+E(f755(x20303,x20301,x20304),f755(x20303,x20302,x20304))
% 218.59/218.73 [2031]~E(x20311,x20312)+E(f755(x20313,x20314,x20311),f755(x20313,x20314,x20312))
% 218.59/218.73 [2032]~E(x20321,x20322)+E(f225(x20321,x20323,x20324,x20325),f225(x20322,x20323,x20324,x20325))
% 218.59/218.73 [2033]~E(x20331,x20332)+E(f225(x20333,x20331,x20334,x20335),f225(x20333,x20332,x20334,x20335))
% 218.59/218.73 [2034]~E(x20341,x20342)+E(f225(x20343,x20344,x20341,x20345),f225(x20343,x20344,x20342,x20345))
% 218.59/218.73 [2035]~E(x20351,x20352)+E(f225(x20353,x20354,x20355,x20351),f225(x20353,x20354,x20355,x20352))
% 218.59/218.73 [2036]~E(x20361,x20362)+E(f801(x20361,x20363),f801(x20362,x20363))
% 218.59/218.73 [2037]~E(x20371,x20372)+E(f801(x20373,x20371),f801(x20373,x20372))
% 218.59/218.73 [2038]~E(x20381,x20382)+E(f336(x20381,x20383,x20384,x20385,x20386),f336(x20382,x20383,x20384,x20385,x20386))
% 218.59/218.73 [2039]~E(x20391,x20392)+E(f336(x20393,x20391,x20394,x20395,x20396),f336(x20393,x20392,x20394,x20395,x20396))
% 218.59/218.73 [2040]~E(x20401,x20402)+E(f336(x20403,x20404,x20401,x20405,x20406),f336(x20403,x20404,x20402,x20405,x20406))
% 218.59/218.73 [2041]~E(x20411,x20412)+E(f336(x20413,x20414,x20415,x20411,x20416),f336(x20413,x20414,x20415,x20412,x20416))
% 218.59/218.73 [2042]~E(x20421,x20422)+E(f336(x20423,x20424,x20425,x20426,x20421),f336(x20423,x20424,x20425,x20426,x20422))
% 218.59/218.73 [2043]~E(x20431,x20432)+E(f116(x20431,x20433,x20434,x20435),f116(x20432,x20433,x20434,x20435))
% 218.59/218.73 [2044]~E(x20441,x20442)+E(f116(x20443,x20441,x20444,x20445),f116(x20443,x20442,x20444,x20445))
% 218.59/218.73 [2045]~E(x20451,x20452)+E(f116(x20453,x20454,x20451,x20455),f116(x20453,x20454,x20452,x20455))
% 218.59/218.73 [2046]~E(x20461,x20462)+E(f116(x20463,x20464,x20465,x20461),f116(x20463,x20464,x20465,x20462))
% 218.59/218.73 [2047]~E(x20471,x20472)+E(f343(x20471,x20473,x20474,x20475,x20476),f343(x20472,x20473,x20474,x20475,x20476))
% 218.59/218.73 [2048]~E(x20481,x20482)+E(f343(x20483,x20481,x20484,x20485,x20486),f343(x20483,x20482,x20484,x20485,x20486))
% 218.59/218.73 [2049]~E(x20491,x20492)+E(f343(x20493,x20494,x20491,x20495,x20496),f343(x20493,x20494,x20492,x20495,x20496))
% 218.59/218.73 [2050]~E(x20501,x20502)+E(f343(x20503,x20504,x20505,x20501,x20506),f343(x20503,x20504,x20505,x20502,x20506))
% 218.59/218.73 [2051]~E(x20511,x20512)+E(f343(x20513,x20514,x20515,x20516,x20511),f343(x20513,x20514,x20515,x20516,x20512))
% 218.59/218.73 [2052]~E(x20521,x20522)+E(f632(x20521,x20523,x20524,x20525,x20526,x20527),f632(x20522,x20523,x20524,x20525,x20526,x20527))
% 218.59/218.73 [2053]~E(x20531,x20532)+E(f632(x20533,x20531,x20534,x20535,x20536,x20537),f632(x20533,x20532,x20534,x20535,x20536,x20537))
% 218.59/218.73 [2054]~E(x20541,x20542)+E(f632(x20543,x20544,x20541,x20545,x20546,x20547),f632(x20543,x20544,x20542,x20545,x20546,x20547))
% 218.59/218.73 [2055]~E(x20551,x20552)+E(f632(x20553,x20554,x20555,x20551,x20556,x20557),f632(x20553,x20554,x20555,x20552,x20556,x20557))
% 218.59/218.73 [2056]~E(x20561,x20562)+E(f632(x20563,x20564,x20565,x20566,x20561,x20567),f632(x20563,x20564,x20565,x20566,x20562,x20567))
% 218.59/218.73 [2057]~E(x20571,x20572)+E(f632(x20573,x20574,x20575,x20576,x20577,x20571),f632(x20573,x20574,x20575,x20576,x20577,x20572))
% 218.59/218.73 [2058]~E(x20581,x20582)+E(f803(x20581),f803(x20582))
% 218.59/218.73 [2059]~E(x20591,x20592)+E(f406(x20591,x20593),f406(x20592,x20593))
% 218.59/218.73 [2060]~E(x20601,x20602)+E(f406(x20603,x20601),f406(x20603,x20602))
% 218.59/218.73 [2061]~E(x20611,x20612)+E(f496(x20611),f496(x20612))
% 218.59/218.73 [2062]~E(x20621,x20622)+E(f592(x20621,x20623,x20624,x20625),f592(x20622,x20623,x20624,x20625))
% 218.59/218.73 [2063]~E(x20631,x20632)+E(f592(x20633,x20631,x20634,x20635),f592(x20633,x20632,x20634,x20635))
% 218.59/218.73 [2064]~E(x20641,x20642)+E(f592(x20643,x20644,x20641,x20645),f592(x20643,x20644,x20642,x20645))
% 218.59/218.73 [2065]~E(x20651,x20652)+E(f592(x20653,x20654,x20655,x20651),f592(x20653,x20654,x20655,x20652))
% 218.59/218.73 [2066]~E(x20661,x20662)+E(f517(x20661,x20663),f517(x20662,x20663))
% 218.59/218.73 [2067]~E(x20671,x20672)+E(f517(x20673,x20671),f517(x20673,x20672))
% 218.59/218.73 [2068]~E(x20681,x20682)+E(f791(x20681,x20683,x20684,x20685),f791(x20682,x20683,x20684,x20685))
% 218.59/218.73 [2069]~E(x20691,x20692)+E(f791(x20693,x20691,x20694,x20695),f791(x20693,x20692,x20694,x20695))
% 218.59/218.73 [2070]~E(x20701,x20702)+E(f791(x20703,x20704,x20701,x20705),f791(x20703,x20704,x20702,x20705))
% 218.59/218.73 [2071]~E(x20711,x20712)+E(f791(x20713,x20714,x20715,x20711),f791(x20713,x20714,x20715,x20712))
% 218.59/218.73 [2072]~E(x20721,x20722)+E(f547(x20721,x20723,x20724,x20725),f547(x20722,x20723,x20724,x20725))
% 218.59/218.73 [2073]~E(x20731,x20732)+E(f547(x20733,x20731,x20734,x20735),f547(x20733,x20732,x20734,x20735))
% 218.59/218.73 [2074]~E(x20741,x20742)+E(f547(x20743,x20744,x20741,x20745),f547(x20743,x20744,x20742,x20745))
% 218.59/218.73 [2075]~E(x20751,x20752)+E(f547(x20753,x20754,x20755,x20751),f547(x20753,x20754,x20755,x20752))
% 218.59/218.73 [2076]~E(x20761,x20762)+E(f328(x20761,x20763,x20764,x20765),f328(x20762,x20763,x20764,x20765))
% 218.59/218.73 [2077]~E(x20771,x20772)+E(f328(x20773,x20771,x20774,x20775),f328(x20773,x20772,x20774,x20775))
% 218.59/218.73 [2078]~E(x20781,x20782)+E(f328(x20783,x20784,x20781,x20785),f328(x20783,x20784,x20782,x20785))
% 218.59/218.73 [2079]~E(x20791,x20792)+E(f328(x20793,x20794,x20795,x20791),f328(x20793,x20794,x20795,x20792))
% 218.59/218.73 [2080]~E(x20801,x20802)+E(f21(x20801,x20803,x20804,x20805),f21(x20802,x20803,x20804,x20805))
% 218.59/218.73 [2081]~E(x20811,x20812)+E(f21(x20813,x20811,x20814,x20815),f21(x20813,x20812,x20814,x20815))
% 218.59/218.73 [2082]~E(x20821,x20822)+E(f21(x20823,x20824,x20821,x20825),f21(x20823,x20824,x20822,x20825))
% 218.59/218.73 [2083]~E(x20831,x20832)+E(f21(x20833,x20834,x20835,x20831),f21(x20833,x20834,x20835,x20832))
% 218.59/218.73 [2084]~E(x20841,x20842)+E(f659(x20841,x20843,x20844,x20845),f659(x20842,x20843,x20844,x20845))
% 218.59/218.73 [2085]~E(x20851,x20852)+E(f659(x20853,x20851,x20854,x20855),f659(x20853,x20852,x20854,x20855))
% 218.59/218.73 [2086]~E(x20861,x20862)+E(f659(x20863,x20864,x20861,x20865),f659(x20863,x20864,x20862,x20865))
% 218.59/218.73 [2087]~E(x20871,x20872)+E(f659(x20873,x20874,x20875,x20871),f659(x20873,x20874,x20875,x20872))
% 218.59/218.73 [2088]~E(x20881,x20882)+E(f568(x20881,x20883,x20884,x20885,x20886,x20887),f568(x20882,x20883,x20884,x20885,x20886,x20887))
% 218.59/218.73 [2089]~E(x20891,x20892)+E(f568(x20893,x20891,x20894,x20895,x20896,x20897),f568(x20893,x20892,x20894,x20895,x20896,x20897))
% 218.59/218.73 [2090]~E(x20901,x20902)+E(f568(x20903,x20904,x20901,x20905,x20906,x20907),f568(x20903,x20904,x20902,x20905,x20906,x20907))
% 218.59/218.73 [2091]~E(x20911,x20912)+E(f568(x20913,x20914,x20915,x20911,x20916,x20917),f568(x20913,x20914,x20915,x20912,x20916,x20917))
% 218.59/218.73 [2092]~E(x20921,x20922)+E(f568(x20923,x20924,x20925,x20926,x20921,x20927),f568(x20923,x20924,x20925,x20926,x20922,x20927))
% 218.59/218.73 [2093]~E(x20931,x20932)+E(f568(x20933,x20934,x20935,x20936,x20937,x20931),f568(x20933,x20934,x20935,x20936,x20937,x20932))
% 218.59/218.73 [2094]~E(x20941,x20942)+E(f740(x20941,x20943),f740(x20942,x20943))
% 218.59/218.73 [2095]~E(x20951,x20952)+E(f740(x20953,x20951),f740(x20953,x20952))
% 218.59/218.73 [2096]~E(x20961,x20962)+E(f782(x20961,x20963,x20964),f782(x20962,x20963,x20964))
% 218.59/218.73 [2097]~E(x20971,x20972)+E(f782(x20973,x20971,x20974),f782(x20973,x20972,x20974))
% 218.59/218.73 [2098]~E(x20981,x20982)+E(f782(x20983,x20984,x20981),f782(x20983,x20984,x20982))
% 218.59/218.73 [2099]~E(x20991,x20992)+E(f436(x20991,x20993,x20994),f436(x20992,x20993,x20994))
% 218.59/218.73 [2100]~E(x21001,x21002)+E(f436(x21003,x21001,x21004),f436(x21003,x21002,x21004))
% 218.59/218.73 [2101]~E(x21011,x21012)+E(f436(x21013,x21014,x21011),f436(x21013,x21014,x21012))
% 218.59/218.73 [2102]~E(x21021,x21022)+E(f621(x21021,x21023,x21024,x21025),f621(x21022,x21023,x21024,x21025))
% 218.59/218.73 [2103]~E(x21031,x21032)+E(f621(x21033,x21031,x21034,x21035),f621(x21033,x21032,x21034,x21035))
% 218.59/218.73 [2104]~E(x21041,x21042)+E(f621(x21043,x21044,x21041,x21045),f621(x21043,x21044,x21042,x21045))
% 218.59/218.73 [2105]~E(x21051,x21052)+E(f621(x21053,x21054,x21055,x21051),f621(x21053,x21054,x21055,x21052))
% 218.59/218.73 [2106]~E(x21061,x21062)+E(f419(x21061,x21063,x21064,x21065),f419(x21062,x21063,x21064,x21065))
% 218.59/218.73 [2107]~E(x21071,x21072)+E(f419(x21073,x21071,x21074,x21075),f419(x21073,x21072,x21074,x21075))
% 218.59/218.73 [2108]~E(x21081,x21082)+E(f419(x21083,x21084,x21081,x21085),f419(x21083,x21084,x21082,x21085))
% 218.59/218.73 [2109]~E(x21091,x21092)+E(f419(x21093,x21094,x21095,x21091),f419(x21093,x21094,x21095,x21092))
% 218.59/218.73 [2110]~E(x21101,x21102)+E(f865(x21101,x21103,x21104),f865(x21102,x21103,x21104))
% 218.59/218.73 [2111]~E(x21111,x21112)+E(f865(x21113,x21111,x21114),f865(x21113,x21112,x21114))
% 218.59/218.73 [2112]~E(x21121,x21122)+E(f865(x21123,x21124,x21121),f865(x21123,x21124,x21122))
% 218.59/218.73 [2113]~E(x21131,x21132)+E(f447(x21131,x21133,x21134,x21135,x21136),f447(x21132,x21133,x21134,x21135,x21136))
% 218.59/218.73 [2114]~E(x21141,x21142)+E(f447(x21143,x21141,x21144,x21145,x21146),f447(x21143,x21142,x21144,x21145,x21146))
% 218.59/218.73 [2115]~E(x21151,x21152)+E(f447(x21153,x21154,x21151,x21155,x21156),f447(x21153,x21154,x21152,x21155,x21156))
% 218.59/218.73 [2116]~E(x21161,x21162)+E(f447(x21163,x21164,x21165,x21161,x21166),f447(x21163,x21164,x21165,x21162,x21166))
% 218.59/218.73 [2117]~E(x21171,x21172)+E(f447(x21173,x21174,x21175,x21176,x21171),f447(x21173,x21174,x21175,x21176,x21172))
% 218.59/218.73 [2118]~E(x21181,x21182)+E(f19(x21181,x21183,x21184,x21185),f19(x21182,x21183,x21184,x21185))
% 218.59/218.73 [2119]~E(x21191,x21192)+E(f19(x21193,x21191,x21194,x21195),f19(x21193,x21192,x21194,x21195))
% 218.59/218.73 [2120]~E(x21201,x21202)+E(f19(x21203,x21204,x21201,x21205),f19(x21203,x21204,x21202,x21205))
% 218.59/218.73 [2121]~E(x21211,x21212)+E(f19(x21213,x21214,x21215,x21211),f19(x21213,x21214,x21215,x21212))
% 218.59/218.73 [2122]~E(x21221,x21222)+E(f729(x21221,x21223,x21224),f729(x21222,x21223,x21224))
% 218.59/218.73 [2123]~E(x21231,x21232)+E(f729(x21233,x21231,x21234),f729(x21233,x21232,x21234))
% 218.59/218.73 [2124]~E(x21241,x21242)+E(f729(x21243,x21244,x21241),f729(x21243,x21244,x21242))
% 218.59/218.73 [2125]~E(x21251,x21252)+E(f197(x21251,x21253,x21254),f197(x21252,x21253,x21254))
% 218.59/218.73 [2126]~E(x21261,x21262)+E(f197(x21263,x21261,x21264),f197(x21263,x21262,x21264))
% 218.59/218.73 [2127]~E(x21271,x21272)+E(f197(x21273,x21274,x21271),f197(x21273,x21274,x21272))
% 218.59/218.73 [2128]~E(x21281,x21282)+E(f508(x21281,x21283,x21284,x21285,x21286,x21287,x21288,x21289),f508(x21282,x21283,x21284,x21285,x21286,x21287,x21288,x21289))
% 218.59/218.73 [2129]~E(x21291,x21292)+E(f508(x21293,x21291,x21294,x21295,x21296,x21297,x21298,x21299),f508(x21293,x21292,x21294,x21295,x21296,x21297,x21298,x21299))
% 218.59/218.73 [2130]~E(x21301,x21302)+E(f508(x21303,x21304,x21301,x21305,x21306,x21307,x21308,x21309),f508(x21303,x21304,x21302,x21305,x21306,x21307,x21308,x21309))
% 218.59/218.73 [2131]~E(x21311,x21312)+E(f508(x21313,x21314,x21315,x21311,x21316,x21317,x21318,x21319),f508(x21313,x21314,x21315,x21312,x21316,x21317,x21318,x21319))
% 218.59/218.73 [2132]~E(x21321,x21322)+E(f508(x21323,x21324,x21325,x21326,x21321,x21327,x21328,x21329),f508(x21323,x21324,x21325,x21326,x21322,x21327,x21328,x21329))
% 218.59/218.73 [2133]~E(x21331,x21332)+E(f508(x21333,x21334,x21335,x21336,x21337,x21331,x21338,x21339),f508(x21333,x21334,x21335,x21336,x21337,x21332,x21338,x21339))
% 218.59/218.73 [2134]~E(x21341,x21342)+E(f508(x21343,x21344,x21345,x21346,x21347,x21348,x21341,x21349),f508(x21343,x21344,x21345,x21346,x21347,x21348,x21342,x21349))
% 218.59/218.73 [2135]~E(x21351,x21352)+E(f508(x21353,x21354,x21355,x21356,x21357,x21358,x21359,x21351),f508(x21353,x21354,x21355,x21356,x21357,x21358,x21359,x21352))
% 218.59/218.73 [2136]~E(x21361,x21362)+E(f697(x21361,x21363,x21364,x21365,x21366),f697(x21362,x21363,x21364,x21365,x21366))
% 218.59/218.73 [2137]~E(x21371,x21372)+E(f697(x21373,x21371,x21374,x21375,x21376),f697(x21373,x21372,x21374,x21375,x21376))
% 218.59/218.73 [2138]~E(x21381,x21382)+E(f697(x21383,x21384,x21381,x21385,x21386),f697(x21383,x21384,x21382,x21385,x21386))
% 218.59/218.73 [2139]~E(x21391,x21392)+E(f697(x21393,x21394,x21395,x21391,x21396),f697(x21393,x21394,x21395,x21392,x21396))
% 218.59/218.73 [2140]~E(x21401,x21402)+E(f697(x21403,x21404,x21405,x21406,x21401),f697(x21403,x21404,x21405,x21406,x21402))
% 218.59/218.73 [2141]~E(x21411,x21412)+E(f461(x21411,x21413,x21414),f461(x21412,x21413,x21414))
% 218.59/218.73 [2142]~E(x21421,x21422)+E(f461(x21423,x21421,x21424),f461(x21423,x21422,x21424))
% 218.59/218.73 [2143]~E(x21431,x21432)+E(f461(x21433,x21434,x21431),f461(x21433,x21434,x21432))
% 218.59/218.73 [2144]~E(x21441,x21442)+E(f617(x21441,x21443,x21444),f617(x21442,x21443,x21444))
% 218.59/218.73 [2145]~E(x21451,x21452)+E(f617(x21453,x21451,x21454),f617(x21453,x21452,x21454))
% 218.59/218.73 [2146]~E(x21461,x21462)+E(f617(x21463,x21464,x21461),f617(x21463,x21464,x21462))
% 218.59/218.73 [2147]~E(x21471,x21472)+E(f674(x21471,x21473,x21474,x21475),f674(x21472,x21473,x21474,x21475))
% 218.59/218.73 [2148]~E(x21481,x21482)+E(f674(x21483,x21481,x21484,x21485),f674(x21483,x21482,x21484,x21485))
% 218.59/218.73 [2149]~E(x21491,x21492)+E(f674(x21493,x21494,x21491,x21495),f674(x21493,x21494,x21492,x21495))
% 218.59/218.73 [2150]~E(x21501,x21502)+E(f674(x21503,x21504,x21505,x21501),f674(x21503,x21504,x21505,x21502))
% 218.59/218.73 [2151]~E(x21511,x21512)+E(f566(x21511,x21513,x21514,x21515,x21516,x21517),f566(x21512,x21513,x21514,x21515,x21516,x21517))
% 218.59/218.73 [2152]~E(x21521,x21522)+E(f566(x21523,x21521,x21524,x21525,x21526,x21527),f566(x21523,x21522,x21524,x21525,x21526,x21527))
% 218.59/218.73 [2153]~E(x21531,x21532)+E(f566(x21533,x21534,x21531,x21535,x21536,x21537),f566(x21533,x21534,x21532,x21535,x21536,x21537))
% 218.59/218.73 [2154]~E(x21541,x21542)+E(f566(x21543,x21544,x21545,x21541,x21546,x21547),f566(x21543,x21544,x21545,x21542,x21546,x21547))
% 218.59/218.73 [2155]~E(x21551,x21552)+E(f566(x21553,x21554,x21555,x21556,x21551,x21557),f566(x21553,x21554,x21555,x21556,x21552,x21557))
% 218.59/218.73 [2156]~E(x21561,x21562)+E(f566(x21563,x21564,x21565,x21566,x21567,x21561),f566(x21563,x21564,x21565,x21566,x21567,x21562))
% 218.59/218.73 [2157]~E(x21571,x21572)+E(f518(x21571,x21573),f518(x21572,x21573))
% 218.59/218.73 [2158]~E(x21581,x21582)+E(f518(x21583,x21581),f518(x21583,x21582))
% 218.59/218.73 [2159]~E(x21591,x21592)+E(f502(x21591,x21593,x21594),f502(x21592,x21593,x21594))
% 218.59/218.73 [2160]~E(x21601,x21602)+E(f502(x21603,x21601,x21604),f502(x21603,x21602,x21604))
% 218.59/218.73 [2161]~E(x21611,x21612)+E(f502(x21613,x21614,x21611),f502(x21613,x21614,x21612))
% 218.59/218.73 [2162]~E(x21621,x21622)+E(f200(x21621,x21623,x21624,x21625),f200(x21622,x21623,x21624,x21625))
% 218.59/218.73 [2163]~E(x21631,x21632)+E(f200(x21633,x21631,x21634,x21635),f200(x21633,x21632,x21634,x21635))
% 218.59/218.73 [2164]~E(x21641,x21642)+E(f200(x21643,x21644,x21641,x21645),f200(x21643,x21644,x21642,x21645))
% 218.59/218.73 [2165]~E(x21651,x21652)+E(f200(x21653,x21654,x21655,x21651),f200(x21653,x21654,x21655,x21652))
% 218.59/218.73 [2166]~E(x21661,x21662)+E(f338(x21661,x21663,x21664,x21665,x21666),f338(x21662,x21663,x21664,x21665,x21666))
% 218.59/218.73 [2167]~E(x21671,x21672)+E(f338(x21673,x21671,x21674,x21675,x21676),f338(x21673,x21672,x21674,x21675,x21676))
% 218.59/218.73 [2168]~E(x21681,x21682)+E(f338(x21683,x21684,x21681,x21685,x21686),f338(x21683,x21684,x21682,x21685,x21686))
% 218.59/218.73 [2169]~E(x21691,x21692)+E(f338(x21693,x21694,x21695,x21691,x21696),f338(x21693,x21694,x21695,x21692,x21696))
% 218.59/218.73 [2170]~E(x21701,x21702)+E(f338(x21703,x21704,x21705,x21706,x21701),f338(x21703,x21704,x21705,x21706,x21702))
% 218.59/218.73 [2171]~E(x21711,x21712)+E(f567(x21711,x21713,x21714,x21715,x21716,x21717),f567(x21712,x21713,x21714,x21715,x21716,x21717))
% 218.59/218.73 [2172]~E(x21721,x21722)+E(f567(x21723,x21721,x21724,x21725,x21726,x21727),f567(x21723,x21722,x21724,x21725,x21726,x21727))
% 218.59/218.73 [2173]~E(x21731,x21732)+E(f567(x21733,x21734,x21731,x21735,x21736,x21737),f567(x21733,x21734,x21732,x21735,x21736,x21737))
% 218.59/218.73 [2174]~E(x21741,x21742)+E(f567(x21743,x21744,x21745,x21741,x21746,x21747),f567(x21743,x21744,x21745,x21742,x21746,x21747))
% 218.59/218.73 [2175]~E(x21751,x21752)+E(f567(x21753,x21754,x21755,x21756,x21751,x21757),f567(x21753,x21754,x21755,x21756,x21752,x21757))
% 218.59/218.73 [2176]~E(x21761,x21762)+E(f567(x21763,x21764,x21765,x21766,x21767,x21761),f567(x21763,x21764,x21765,x21766,x21767,x21762))
% 218.59/218.73 [2177]~E(x21771,x21772)+E(f643(x21771,x21773,x21774,x21775,x21776),f643(x21772,x21773,x21774,x21775,x21776))
% 218.59/218.73 [2178]~E(x21781,x21782)+E(f643(x21783,x21781,x21784,x21785,x21786),f643(x21783,x21782,x21784,x21785,x21786))
% 218.59/218.73 [2179]~E(x21791,x21792)+E(f643(x21793,x21794,x21791,x21795,x21796),f643(x21793,x21794,x21792,x21795,x21796))
% 218.59/218.73 [2180]~E(x21801,x21802)+E(f643(x21803,x21804,x21805,x21801,x21806),f643(x21803,x21804,x21805,x21802,x21806))
% 218.59/218.73 [2181]~E(x21811,x21812)+E(f643(x21813,x21814,x21815,x21816,x21811),f643(x21813,x21814,x21815,x21816,x21812))
% 218.59/218.73 [2182]~E(x21821,x21822)+E(f402(x21821,x21823,x21824,x21825),f402(x21822,x21823,x21824,x21825))
% 218.59/218.73 [2183]~E(x21831,x21832)+E(f402(x21833,x21831,x21834,x21835),f402(x21833,x21832,x21834,x21835))
% 218.59/218.73 [2184]~E(x21841,x21842)+E(f402(x21843,x21844,x21841,x21845),f402(x21843,x21844,x21842,x21845))
% 218.59/218.73 [2185]~E(x21851,x21852)+E(f402(x21853,x21854,x21855,x21851),f402(x21853,x21854,x21855,x21852))
% 218.59/218.73 [2186]~E(x21861,x21862)+E(f799(x21861,x21863,x21864,x21865,x21866,x21867,x21868),f799(x21862,x21863,x21864,x21865,x21866,x21867,x21868))
% 218.59/218.73 [2187]~E(x21871,x21872)+E(f799(x21873,x21871,x21874,x21875,x21876,x21877,x21878),f799(x21873,x21872,x21874,x21875,x21876,x21877,x21878))
% 218.59/218.73 [2188]~E(x21881,x21882)+E(f799(x21883,x21884,x21881,x21885,x21886,x21887,x21888),f799(x21883,x21884,x21882,x21885,x21886,x21887,x21888))
% 218.59/218.73 [2189]~E(x21891,x21892)+E(f799(x21893,x21894,x21895,x21891,x21896,x21897,x21898),f799(x21893,x21894,x21895,x21892,x21896,x21897,x21898))
% 218.59/218.73 [2190]~E(x21901,x21902)+E(f799(x21903,x21904,x21905,x21906,x21901,x21907,x21908),f799(x21903,x21904,x21905,x21906,x21902,x21907,x21908))
% 218.59/218.73 [2191]~E(x21911,x21912)+E(f799(x21913,x21914,x21915,x21916,x21917,x21911,x21918),f799(x21913,x21914,x21915,x21916,x21917,x21912,x21918))
% 218.59/218.73 [2192]~E(x21921,x21922)+E(f799(x21923,x21924,x21925,x21926,x21927,x21928,x21921),f799(x21923,x21924,x21925,x21926,x21927,x21928,x21922))
% 218.59/218.73 [2193]~E(x21931,x21932)+E(f554(x21931,x21933,x21934,x21935),f554(x21932,x21933,x21934,x21935))
% 218.59/218.73 [2194]~E(x21941,x21942)+E(f554(x21943,x21941,x21944,x21945),f554(x21943,x21942,x21944,x21945))
% 218.59/218.73 [2195]~E(x21951,x21952)+E(f554(x21953,x21954,x21951,x21955),f554(x21953,x21954,x21952,x21955))
% 218.59/218.73 [2196]~E(x21961,x21962)+E(f554(x21963,x21964,x21965,x21961),f554(x21963,x21964,x21965,x21962))
% 218.59/218.73 [2197]~E(x21971,x21972)+E(f524(x21971,x21973),f524(x21972,x21973))
% 218.59/218.73 [2198]~E(x21981,x21982)+E(f524(x21983,x21981),f524(x21983,x21982))
% 218.59/218.73 [2199]~E(x21991,x21992)+E(f564(x21991,x21993,x21994,x21995,x21996,x21997),f564(x21992,x21993,x21994,x21995,x21996,x21997))
% 218.59/218.73 [2200]~E(x22001,x22002)+E(f564(x22003,x22001,x22004,x22005,x22006,x22007),f564(x22003,x22002,x22004,x22005,x22006,x22007))
% 218.59/218.73 [2201]~E(x22011,x22012)+E(f564(x22013,x22014,x22011,x22015,x22016,x22017),f564(x22013,x22014,x22012,x22015,x22016,x22017))
% 218.59/218.73 [2202]~E(x22021,x22022)+E(f564(x22023,x22024,x22025,x22021,x22026,x22027),f564(x22023,x22024,x22025,x22022,x22026,x22027))
% 218.59/218.73 [2203]~E(x22031,x22032)+E(f564(x22033,x22034,x22035,x22036,x22031,x22037),f564(x22033,x22034,x22035,x22036,x22032,x22037))
% 218.59/218.73 [2204]~E(x22041,x22042)+E(f564(x22043,x22044,x22045,x22046,x22047,x22041),f564(x22043,x22044,x22045,x22046,x22047,x22042))
% 218.59/218.73 [2205]~E(x22051,x22052)+E(f681(x22051,x22053,x22054),f681(x22052,x22053,x22054))
% 218.59/218.73 [2206]~E(x22061,x22062)+E(f681(x22063,x22061,x22064),f681(x22063,x22062,x22064))
% 218.59/218.73 [2207]~E(x22071,x22072)+E(f681(x22073,x22074,x22071),f681(x22073,x22074,x22072))
% 218.59/218.73 [2208]~E(x22081,x22082)+E(f777(x22081,x22083,x22084),f777(x22082,x22083,x22084))
% 218.59/218.73 [2209]~E(x22091,x22092)+E(f777(x22093,x22091,x22094),f777(x22093,x22092,x22094))
% 218.59/218.73 [2210]~E(x22101,x22102)+E(f777(x22103,x22104,x22101),f777(x22103,x22104,x22102))
% 218.59/218.73 [2211]~E(x22111,x22112)+E(f527(x22111),f527(x22112))
% 218.59/218.73 [2212]~E(x22121,x22122)+E(f553(x22121,x22123,x22124),f553(x22122,x22123,x22124))
% 218.59/218.73 [2213]~E(x22131,x22132)+E(f553(x22133,x22131,x22134),f553(x22133,x22132,x22134))
% 218.59/218.73 [2214]~E(x22141,x22142)+E(f553(x22143,x22144,x22141),f553(x22143,x22144,x22142))
% 218.59/218.73 [2215]~E(x22151,x22152)+E(f663(x22151,x22153,x22154,x22155),f663(x22152,x22153,x22154,x22155))
% 218.59/218.73 [2216]~E(x22161,x22162)+E(f663(x22163,x22161,x22164,x22165),f663(x22163,x22162,x22164,x22165))
% 218.59/218.73 [2217]~E(x22171,x22172)+E(f663(x22173,x22174,x22171,x22175),f663(x22173,x22174,x22172,x22175))
% 218.59/218.73 [2218]~E(x22181,x22182)+E(f663(x22183,x22184,x22185,x22181),f663(x22183,x22184,x22185,x22182))
% 218.59/218.73 [2219]~E(x22191,x22192)+E(f191(x22191,x22193,x22194,x22195),f191(x22192,x22193,x22194,x22195))
% 218.59/218.73 [2220]~E(x22201,x22202)+E(f191(x22203,x22201,x22204,x22205),f191(x22203,x22202,x22204,x22205))
% 218.59/218.73 [2221]~E(x22211,x22212)+E(f191(x22213,x22214,x22211,x22215),f191(x22213,x22214,x22212,x22215))
% 218.59/218.73 [2222]~E(x22221,x22222)+E(f191(x22223,x22224,x22225,x22221),f191(x22223,x22224,x22225,x22222))
% 218.59/218.73 [2223]~E(x22231,x22232)+E(f454(x22231),f454(x22232))
% 218.59/218.73 [2224]~E(x22241,x22242)+E(f344(x22241,x22243,x22244),f344(x22242,x22243,x22244))
% 218.59/218.73 [2225]~E(x22251,x22252)+E(f344(x22253,x22251,x22254),f344(x22253,x22252,x22254))
% 218.59/218.73 [2226]~E(x22261,x22262)+E(f344(x22263,x22264,x22261),f344(x22263,x22264,x22262))
% 218.59/218.73 [2227]~E(x22271,x22272)+E(f484(x22271,x22273,x22274),f484(x22272,x22273,x22274))
% 218.59/218.73 [2228]~E(x22281,x22282)+E(f484(x22283,x22281,x22284),f484(x22283,x22282,x22284))
% 218.59/218.73 [2229]~E(x22291,x22292)+E(f484(x22293,x22294,x22291),f484(x22293,x22294,x22292))
% 218.59/218.73 [2230]~E(x22301,x22302)+E(f666(x22301,x22303,x22304),f666(x22302,x22303,x22304))
% 218.59/218.73 [2231]~E(x22311,x22312)+E(f666(x22313,x22311,x22314),f666(x22313,x22312,x22314))
% 218.59/218.73 [2232]~E(x22321,x22322)+E(f666(x22323,x22324,x22321),f666(x22323,x22324,x22322))
% 218.59/218.73 [2233]~E(x22331,x22332)+E(f715(x22331,x22333,x22334,x22335,x22336),f715(x22332,x22333,x22334,x22335,x22336))
% 218.59/218.73 [2234]~E(x22341,x22342)+E(f715(x22343,x22341,x22344,x22345,x22346),f715(x22343,x22342,x22344,x22345,x22346))
% 218.59/218.73 [2235]~E(x22351,x22352)+E(f715(x22353,x22354,x22351,x22355,x22356),f715(x22353,x22354,x22352,x22355,x22356))
% 218.59/218.73 [2236]~E(x22361,x22362)+E(f715(x22363,x22364,x22365,x22361,x22366),f715(x22363,x22364,x22365,x22362,x22366))
% 218.59/218.73 [2237]~E(x22371,x22372)+E(f715(x22373,x22374,x22375,x22376,x22371),f715(x22373,x22374,x22375,x22376,x22372))
% 218.59/218.73 [2238]~E(x22381,x22382)+E(f768(x22381,x22383),f768(x22382,x22383))
% 218.59/218.73 [2239]~E(x22391,x22392)+E(f768(x22393,x22391),f768(x22393,x22392))
% 218.59/218.73 [2240]~E(x22401,x22402)+E(f545(x22401,x22403),f545(x22402,x22403))
% 218.59/218.73 [2241]~E(x22411,x22412)+E(f545(x22413,x22411),f545(x22413,x22412))
% 218.59/218.73 [2242]~E(x22421,x22422)+E(f682(x22421,x22423,x22424,x22425),f682(x22422,x22423,x22424,x22425))
% 218.59/218.73 [2243]~E(x22431,x22432)+E(f682(x22433,x22431,x22434,x22435),f682(x22433,x22432,x22434,x22435))
% 218.59/218.73 [2244]~E(x22441,x22442)+E(f682(x22443,x22444,x22441,x22445),f682(x22443,x22444,x22442,x22445))
% 218.59/218.73 [2245]~E(x22451,x22452)+E(f682(x22453,x22454,x22455,x22451),f682(x22453,x22454,x22455,x22452))
% 218.59/218.73 [2246]~E(x22461,x22462)+E(f538(x22461,x22463,x22464,x22465),f538(x22462,x22463,x22464,x22465))
% 218.59/218.73 [2247]~E(x22471,x22472)+E(f538(x22473,x22471,x22474,x22475),f538(x22473,x22472,x22474,x22475))
% 218.59/218.73 [2248]~E(x22481,x22482)+E(f538(x22483,x22484,x22481,x22485),f538(x22483,x22484,x22482,x22485))
% 218.59/218.73 [2249]~E(x22491,x22492)+E(f538(x22493,x22494,x22495,x22491),f538(x22493,x22494,x22495,x22492))
% 218.59/218.73 [2250]~E(x22501,x22502)+E(f732(x22501,x22503,x22504),f732(x22502,x22503,x22504))
% 218.59/218.73 [2251]~E(x22511,x22512)+E(f732(x22513,x22511,x22514),f732(x22513,x22512,x22514))
% 218.59/218.73 [2252]~E(x22521,x22522)+E(f732(x22523,x22524,x22521),f732(x22523,x22524,x22522))
% 218.59/218.73 [2253]~E(x22531,x22532)+E(f559(x22531,x22533),f559(x22532,x22533))
% 218.59/218.73 [2254]~E(x22541,x22542)+E(f559(x22543,x22541),f559(x22543,x22542))
% 218.59/218.73 [2255]~E(x22551,x22552)+E(f734(x22551,x22553,x22554,x22555,x22556),f734(x22552,x22553,x22554,x22555,x22556))
% 218.59/218.73 [2256]~E(x22561,x22562)+E(f734(x22563,x22561,x22564,x22565,x22566),f734(x22563,x22562,x22564,x22565,x22566))
% 218.59/218.73 [2257]~E(x22571,x22572)+E(f734(x22573,x22574,x22571,x22575,x22576),f734(x22573,x22574,x22572,x22575,x22576))
% 218.59/218.73 [2258]~E(x22581,x22582)+E(f734(x22583,x22584,x22585,x22581,x22586),f734(x22583,x22584,x22585,x22582,x22586))
% 218.59/218.73 [2259]~E(x22591,x22592)+E(f734(x22593,x22594,x22595,x22596,x22591),f734(x22593,x22594,x22595,x22596,x22592))
% 218.59/218.73 [2260]~E(x22601,x22602)+E(f382(x22601,x22603,x22604),f382(x22602,x22603,x22604))
% 218.59/218.73 [2261]~E(x22611,x22612)+E(f382(x22613,x22611,x22614),f382(x22613,x22612,x22614))
% 218.59/218.73 [2262]~E(x22621,x22622)+E(f382(x22623,x22624,x22621),f382(x22623,x22624,x22622))
% 218.59/218.73 [2263]~E(x22631,x22632)+E(f576(x22631,x22633,x22634,x22635,x22636,x22637),f576(x22632,x22633,x22634,x22635,x22636,x22637))
% 218.59/218.73 [2264]~E(x22641,x22642)+E(f576(x22643,x22641,x22644,x22645,x22646,x22647),f576(x22643,x22642,x22644,x22645,x22646,x22647))
% 218.59/218.73 [2265]~E(x22651,x22652)+E(f576(x22653,x22654,x22651,x22655,x22656,x22657),f576(x22653,x22654,x22652,x22655,x22656,x22657))
% 218.59/218.73 [2266]~E(x22661,x22662)+E(f576(x22663,x22664,x22665,x22661,x22666,x22667),f576(x22663,x22664,x22665,x22662,x22666,x22667))
% 218.59/218.73 [2267]~E(x22671,x22672)+E(f576(x22673,x22674,x22675,x22676,x22671,x22677),f576(x22673,x22674,x22675,x22676,x22672,x22677))
% 218.59/218.73 [2268]~E(x22681,x22682)+E(f576(x22683,x22684,x22685,x22686,x22687,x22681),f576(x22683,x22684,x22685,x22686,x22687,x22682))
% 218.59/218.73 [2269]~E(x22691,x22692)+E(f539(x22691,x22693,x22694,x22695),f539(x22692,x22693,x22694,x22695))
% 218.59/218.73 [2270]~E(x22701,x22702)+E(f539(x22703,x22701,x22704,x22705),f539(x22703,x22702,x22704,x22705))
% 218.59/218.73 [2271]~E(x22711,x22712)+E(f539(x22713,x22714,x22711,x22715),f539(x22713,x22714,x22712,x22715))
% 218.59/218.73 [2272]~E(x22721,x22722)+E(f539(x22723,x22724,x22725,x22721),f539(x22723,x22724,x22725,x22722))
% 218.59/218.73 [2273]~E(x22731,x22732)+E(f467(x22731,x22733,x22734,x22735),f467(x22732,x22733,x22734,x22735))
% 218.59/218.73 [2274]~E(x22741,x22742)+E(f467(x22743,x22741,x22744,x22745),f467(x22743,x22742,x22744,x22745))
% 218.59/218.73 [2275]~E(x22751,x22752)+E(f467(x22753,x22754,x22751,x22755),f467(x22753,x22754,x22752,x22755))
% 218.59/218.73 [2276]~E(x22761,x22762)+E(f467(x22763,x22764,x22765,x22761),f467(x22763,x22764,x22765,x22762))
% 218.59/218.73 [2277]~E(x22771,x22772)+E(f477(x22771,x22773,x22774,x22775),f477(x22772,x22773,x22774,x22775))
% 218.59/218.73 [2278]~E(x22781,x22782)+E(f477(x22783,x22781,x22784,x22785),f477(x22783,x22782,x22784,x22785))
% 218.59/218.73 [2279]~E(x22791,x22792)+E(f477(x22793,x22794,x22791,x22795),f477(x22793,x22794,x22792,x22795))
% 218.59/218.73 [2280]~E(x22801,x22802)+E(f477(x22803,x22804,x22805,x22801),f477(x22803,x22804,x22805,x22802))
% 218.59/218.73 [2281]~E(x22811,x22812)+E(f474(x22811,x22813),f474(x22812,x22813))
% 218.59/218.73 [2282]~E(x22821,x22822)+E(f474(x22823,x22821),f474(x22823,x22822))
% 218.59/218.73 [2283]~E(x22831,x22832)+E(f443(x22831,x22833,x22834,x22835,x22836),f443(x22832,x22833,x22834,x22835,x22836))
% 218.59/218.73 [2284]~E(x22841,x22842)+E(f443(x22843,x22841,x22844,x22845,x22846),f443(x22843,x22842,x22844,x22845,x22846))
% 218.59/218.73 [2285]~E(x22851,x22852)+E(f443(x22853,x22854,x22851,x22855,x22856),f443(x22853,x22854,x22852,x22855,x22856))
% 218.59/218.73 [2286]~E(x22861,x22862)+E(f443(x22863,x22864,x22865,x22861,x22866),f443(x22863,x22864,x22865,x22862,x22866))
% 218.59/218.73 [2287]~E(x22871,x22872)+E(f443(x22873,x22874,x22875,x22876,x22871),f443(x22873,x22874,x22875,x22876,x22872))
% 218.59/218.73 [2288]~E(x22881,x22882)+E(f544(x22881,x22883,x22884,x22885,x22886),f544(x22882,x22883,x22884,x22885,x22886))
% 218.59/218.73 [2289]~E(x22891,x22892)+E(f544(x22893,x22891,x22894,x22895,x22896),f544(x22893,x22892,x22894,x22895,x22896))
% 218.59/218.73 [2290]~E(x22901,x22902)+E(f544(x22903,x22904,x22901,x22905,x22906),f544(x22903,x22904,x22902,x22905,x22906))
% 218.59/218.73 [2291]~E(x22911,x22912)+E(f544(x22913,x22914,x22915,x22911,x22916),f544(x22913,x22914,x22915,x22912,x22916))
% 218.59/218.73 [2292]~E(x22921,x22922)+E(f544(x22923,x22924,x22925,x22926,x22921),f544(x22923,x22924,x22925,x22926,x22922))
% 218.59/218.73 [2293]~E(x22931,x22932)+E(f439(x22931,x22933,x22934),f439(x22932,x22933,x22934))
% 218.59/218.73 [2294]~E(x22941,x22942)+E(f439(x22943,x22941,x22944),f439(x22943,x22942,x22944))
% 218.59/218.73 [2295]~E(x22951,x22952)+E(f439(x22953,x22954,x22951),f439(x22953,x22954,x22952))
% 218.59/218.73 [2296]~E(x22961,x22962)+E(f671(x22961,x22963,x22964,x22965,x22966),f671(x22962,x22963,x22964,x22965,x22966))
% 218.59/218.73 [2297]~E(x22971,x22972)+E(f671(x22973,x22971,x22974,x22975,x22976),f671(x22973,x22972,x22974,x22975,x22976))
% 218.59/218.73 [2298]~E(x22981,x22982)+E(f671(x22983,x22984,x22981,x22985,x22986),f671(x22983,x22984,x22982,x22985,x22986))
% 218.59/218.73 [2299]~E(x22991,x22992)+E(f671(x22993,x22994,x22995,x22991,x22996),f671(x22993,x22994,x22995,x22992,x22996))
% 218.59/218.73 [2300]~E(x23001,x23002)+E(f671(x23003,x23004,x23005,x23006,x23001),f671(x23003,x23004,x23005,x23006,x23002))
% 218.59/218.73 [2301]~E(x23011,x23012)+E(f825(x23011,x23013),f825(x23012,x23013))
% 218.59/218.73 [2302]~E(x23021,x23022)+E(f825(x23023,x23021),f825(x23023,x23022))
% 218.59/218.73 [2303]~E(x23031,x23032)+E(f222(x23031,x23033,x23034),f222(x23032,x23033,x23034))
% 218.59/218.73 [2304]~E(x23041,x23042)+E(f222(x23043,x23041,x23044),f222(x23043,x23042,x23044))
% 218.59/218.73 [2305]~E(x23051,x23052)+E(f222(x23053,x23054,x23051),f222(x23053,x23054,x23052))
% 218.59/218.73 [2306]~E(x23061,x23062)+E(f531(x23061,x23063,x23064,x23065,x23066,x23067),f531(x23062,x23063,x23064,x23065,x23066,x23067))
% 218.59/218.73 [2307]~E(x23071,x23072)+E(f531(x23073,x23071,x23074,x23075,x23076,x23077),f531(x23073,x23072,x23074,x23075,x23076,x23077))
% 218.59/218.73 [2308]~E(x23081,x23082)+E(f531(x23083,x23084,x23081,x23085,x23086,x23087),f531(x23083,x23084,x23082,x23085,x23086,x23087))
% 218.59/218.73 [2309]~E(x23091,x23092)+E(f531(x23093,x23094,x23095,x23091,x23096,x23097),f531(x23093,x23094,x23095,x23092,x23096,x23097))
% 218.59/218.73 [2310]~E(x23101,x23102)+E(f531(x23103,x23104,x23105,x23106,x23101,x23107),f531(x23103,x23104,x23105,x23106,x23102,x23107))
% 218.59/218.73 [2311]~E(x23111,x23112)+E(f531(x23113,x23114,x23115,x23116,x23117,x23111),f531(x23113,x23114,x23115,x23116,x23117,x23112))
% 218.59/218.73 [2312]~E(x23121,x23122)+E(f696(x23121,x23123,x23124,x23125),f696(x23122,x23123,x23124,x23125))
% 218.59/218.73 [2313]~E(x23131,x23132)+E(f696(x23133,x23131,x23134,x23135),f696(x23133,x23132,x23134,x23135))
% 218.59/218.73 [2314]~E(x23141,x23142)+E(f696(x23143,x23144,x23141,x23145),f696(x23143,x23144,x23142,x23145))
% 218.59/218.73 [2315]~E(x23151,x23152)+E(f696(x23153,x23154,x23155,x23151),f696(x23153,x23154,x23155,x23152))
% 218.59/218.73 [2316]~E(x23161,x23162)+E(f664(x23161,x23163,x23164,x23165),f664(x23162,x23163,x23164,x23165))
% 218.59/218.73 [2317]~E(x23171,x23172)+E(f664(x23173,x23171,x23174,x23175),f664(x23173,x23172,x23174,x23175))
% 218.59/218.73 [2318]~E(x23181,x23182)+E(f664(x23183,x23184,x23181,x23185),f664(x23183,x23184,x23182,x23185))
% 218.59/218.73 [2319]~E(x23191,x23192)+E(f664(x23193,x23194,x23195,x23191),f664(x23193,x23194,x23195,x23192))
% 218.59/218.73 [2320]~E(x23201,x23202)+E(f806(x23201,x23203,x23204,x23205),f806(x23202,x23203,x23204,x23205))
% 218.59/218.73 [2321]~E(x23211,x23212)+E(f806(x23213,x23211,x23214,x23215),f806(x23213,x23212,x23214,x23215))
% 218.59/218.73 [2322]~E(x23221,x23222)+E(f806(x23223,x23224,x23221,x23225),f806(x23223,x23224,x23222,x23225))
% 218.59/218.73 [2323]~E(x23231,x23232)+E(f806(x23233,x23234,x23235,x23231),f806(x23233,x23234,x23235,x23232))
% 218.59/218.73 [2324]~E(x23241,x23242)+E(f421(x23241,x23243),f421(x23242,x23243))
% 218.59/218.73 [2325]~E(x23251,x23252)+E(f421(x23253,x23251),f421(x23253,x23252))
% 218.59/218.73 [2326]~E(x23261,x23262)+E(f365(x23261,x23263,x23264),f365(x23262,x23263,x23264))
% 218.59/218.73 [2327]~E(x23271,x23272)+E(f365(x23273,x23271,x23274),f365(x23273,x23272,x23274))
% 218.59/218.73 [2328]~E(x23281,x23282)+E(f365(x23283,x23284,x23281),f365(x23283,x23284,x23282))
% 218.59/218.73 [2329]~E(x23291,x23292)+E(f811(x23291,x23293,x23294,x23295,x23296),f811(x23292,x23293,x23294,x23295,x23296))
% 218.59/218.73 [2330]~E(x23301,x23302)+E(f811(x23303,x23301,x23304,x23305,x23306),f811(x23303,x23302,x23304,x23305,x23306))
% 218.59/218.73 [2331]~E(x23311,x23312)+E(f811(x23313,x23314,x23311,x23315,x23316),f811(x23313,x23314,x23312,x23315,x23316))
% 218.59/218.73 [2332]~E(x23321,x23322)+E(f811(x23323,x23324,x23325,x23321,x23326),f811(x23323,x23324,x23325,x23322,x23326))
% 218.59/218.73 [2333]~E(x23331,x23332)+E(f811(x23333,x23334,x23335,x23336,x23331),f811(x23333,x23334,x23335,x23336,x23332))
% 218.59/218.73 [2334]~E(x23341,x23342)+E(f560(x23341,x23343,x23344,x23345),f560(x23342,x23343,x23344,x23345))
% 218.59/218.73 [2335]~E(x23351,x23352)+E(f560(x23353,x23351,x23354,x23355),f560(x23353,x23352,x23354,x23355))
% 218.59/218.73 [2336]~E(x23361,x23362)+E(f560(x23363,x23364,x23361,x23365),f560(x23363,x23364,x23362,x23365))
% 218.59/218.73 [2337]~E(x23371,x23372)+E(f560(x23373,x23374,x23375,x23371),f560(x23373,x23374,x23375,x23372))
% 218.59/218.73 [2338]~E(x23381,x23382)+E(f876(x23381,x23383,x23384,x23385),f876(x23382,x23383,x23384,x23385))
% 218.59/218.73 [2339]~E(x23391,x23392)+E(f876(x23393,x23391,x23394,x23395),f876(x23393,x23392,x23394,x23395))
% 218.59/218.73 [2340]~E(x23401,x23402)+E(f876(x23403,x23404,x23401,x23405),f876(x23403,x23404,x23402,x23405))
% 218.59/218.73 [2341]~E(x23411,x23412)+E(f876(x23413,x23414,x23415,x23411),f876(x23413,x23414,x23415,x23412))
% 218.59/218.73 [2342]~E(x23421,x23422)+E(f871(x23421,x23423),f871(x23422,x23423))
% 218.59/218.73 [2343]~E(x23431,x23432)+E(f871(x23433,x23431),f871(x23433,x23432))
% 218.59/218.73 [2344]~E(x23441,x23442)+E(f323(x23441),f323(x23442))
% 218.59/218.73 [2345]~E(x23451,x23452)+E(f523(x23451,x23453,x23454,x23455,x23456),f523(x23452,x23453,x23454,x23455,x23456))
% 218.59/218.73 [2346]~E(x23461,x23462)+E(f523(x23463,x23461,x23464,x23465,x23466),f523(x23463,x23462,x23464,x23465,x23466))
% 218.59/218.73 [2347]~E(x23471,x23472)+E(f523(x23473,x23474,x23471,x23475,x23476),f523(x23473,x23474,x23472,x23475,x23476))
% 218.59/218.73 [2348]~E(x23481,x23482)+E(f523(x23483,x23484,x23485,x23481,x23486),f523(x23483,x23484,x23485,x23482,x23486))
% 218.59/218.73 [2349]~E(x23491,x23492)+E(f523(x23493,x23494,x23495,x23496,x23491),f523(x23493,x23494,x23495,x23496,x23492))
% 218.59/218.73 [2350]~E(x23501,x23502)+E(f706(x23501,x23503,x23504,x23505,x23506),f706(x23502,x23503,x23504,x23505,x23506))
% 218.59/218.73 [2351]~E(x23511,x23512)+E(f706(x23513,x23511,x23514,x23515,x23516),f706(x23513,x23512,x23514,x23515,x23516))
% 218.59/218.73 [2352]~E(x23521,x23522)+E(f706(x23523,x23524,x23521,x23525,x23526),f706(x23523,x23524,x23522,x23525,x23526))
% 218.59/218.73 [2353]~E(x23531,x23532)+E(f706(x23533,x23534,x23535,x23531,x23536),f706(x23533,x23534,x23535,x23532,x23536))
% 218.59/218.73 [2354]~E(x23541,x23542)+E(f706(x23543,x23544,x23545,x23546,x23541),f706(x23543,x23544,x23545,x23546,x23542))
% 218.59/218.73 [2355]~E(x23551,x23552)+E(f851(x23551,x23553,x23554),f851(x23552,x23553,x23554))
% 218.59/218.73 [2356]~E(x23561,x23562)+E(f851(x23563,x23561,x23564),f851(x23563,x23562,x23564))
% 218.59/218.73 [2357]~E(x23571,x23572)+E(f851(x23573,x23574,x23571),f851(x23573,x23574,x23572))
% 218.59/218.73 [2358]~E(x23581,x23582)+E(f858(x23581,x23583,x23584,x23585,x23586,x23587,x23588),f858(x23582,x23583,x23584,x23585,x23586,x23587,x23588))
% 218.59/218.73 [2359]~E(x23591,x23592)+E(f858(x23593,x23591,x23594,x23595,x23596,x23597,x23598),f858(x23593,x23592,x23594,x23595,x23596,x23597,x23598))
% 218.59/218.73 [2360]~E(x23601,x23602)+E(f858(x23603,x23604,x23601,x23605,x23606,x23607,x23608),f858(x23603,x23604,x23602,x23605,x23606,x23607,x23608))
% 218.59/218.73 [2361]~E(x23611,x23612)+E(f858(x23613,x23614,x23615,x23611,x23616,x23617,x23618),f858(x23613,x23614,x23615,x23612,x23616,x23617,x23618))
% 218.59/218.73 [2362]~E(x23621,x23622)+E(f858(x23623,x23624,x23625,x23626,x23621,x23627,x23628),f858(x23623,x23624,x23625,x23626,x23622,x23627,x23628))
% 218.59/218.73 [2363]~E(x23631,x23632)+E(f858(x23633,x23634,x23635,x23636,x23637,x23631,x23638),f858(x23633,x23634,x23635,x23636,x23637,x23632,x23638))
% 218.59/218.73 [2364]~E(x23641,x23642)+E(f858(x23643,x23644,x23645,x23646,x23647,x23648,x23641),f858(x23643,x23644,x23645,x23646,x23647,x23648,x23642))
% 218.59/218.73 [2365]~E(x23651,x23652)+E(f463(x23651,x23653,x23654,x23655,x23656,x23657,x23658),f463(x23652,x23653,x23654,x23655,x23656,x23657,x23658))
% 218.59/218.73 [2366]~E(x23661,x23662)+E(f463(x23663,x23661,x23664,x23665,x23666,x23667,x23668),f463(x23663,x23662,x23664,x23665,x23666,x23667,x23668))
% 218.59/218.73 [2367]~E(x23671,x23672)+E(f463(x23673,x23674,x23671,x23675,x23676,x23677,x23678),f463(x23673,x23674,x23672,x23675,x23676,x23677,x23678))
% 218.59/218.73 [2368]~E(x23681,x23682)+E(f463(x23683,x23684,x23685,x23681,x23686,x23687,x23688),f463(x23683,x23684,x23685,x23682,x23686,x23687,x23688))
% 218.59/218.73 [2369]~E(x23691,x23692)+E(f463(x23693,x23694,x23695,x23696,x23691,x23697,x23698),f463(x23693,x23694,x23695,x23696,x23692,x23697,x23698))
% 218.59/218.73 [2370]~E(x23701,x23702)+E(f463(x23703,x23704,x23705,x23706,x23707,x23701,x23708),f463(x23703,x23704,x23705,x23706,x23707,x23702,x23708))
% 218.59/218.73 [2371]~E(x23711,x23712)+E(f463(x23713,x23714,x23715,x23716,x23717,x23718,x23711),f463(x23713,x23714,x23715,x23716,x23717,x23718,x23712))
% 218.59/218.73 [2372]~E(x23721,x23722)+E(f572(x23721,x23723),f572(x23722,x23723))
% 218.59/218.73 [2373]~E(x23731,x23732)+E(f572(x23733,x23731),f572(x23733,x23732))
% 218.59/218.73 [2374]~E(x23741,x23742)+E(f824(x23741),f824(x23742))
% 218.59/218.73 [2375]~E(x23751,x23752)+E(f723(x23751,x23753),f723(x23752,x23753))
% 218.59/218.73 [2376]~E(x23761,x23762)+E(f723(x23763,x23761),f723(x23763,x23762))
% 218.59/218.73 [2377]~E(x23771,x23772)+E(f727(x23771,x23773,x23774),f727(x23772,x23773,x23774))
% 218.59/218.73 [2378]~E(x23781,x23782)+E(f727(x23783,x23781,x23784),f727(x23783,x23782,x23784))
% 218.59/218.73 [2379]~E(x23791,x23792)+E(f727(x23793,x23794,x23791),f727(x23793,x23794,x23792))
% 218.59/218.73 [2380]~E(x23801,x23802)+E(f425(x23801,x23803),f425(x23802,x23803))
% 218.59/218.73 [2381]~E(x23811,x23812)+E(f425(x23813,x23811),f425(x23813,x23812))
% 218.59/218.73 [2382]~E(x23821,x23822)+E(f202(x23821),f202(x23822))
% 218.59/218.73 [2383]~E(x23831,x23832)+E(f597(x23831,x23833,x23834,x23835,x23836),f597(x23832,x23833,x23834,x23835,x23836))
% 218.59/218.73 [2384]~E(x23841,x23842)+E(f597(x23843,x23841,x23844,x23845,x23846),f597(x23843,x23842,x23844,x23845,x23846))
% 218.59/218.73 [2385]~E(x23851,x23852)+E(f597(x23853,x23854,x23851,x23855,x23856),f597(x23853,x23854,x23852,x23855,x23856))
% 218.59/218.73 [2386]~E(x23861,x23862)+E(f597(x23863,x23864,x23865,x23861,x23866),f597(x23863,x23864,x23865,x23862,x23866))
% 218.59/218.73 [2387]~E(x23871,x23872)+E(f597(x23873,x23874,x23875,x23876,x23871),f597(x23873,x23874,x23875,x23876,x23872))
% 218.59/218.73 [2388]~E(x23881,x23882)+E(f571(x23881,x23883),f571(x23882,x23883))
% 218.59/218.73 [2389]~E(x23891,x23892)+E(f571(x23893,x23891),f571(x23893,x23892))
% 218.59/218.73 [2390]~E(x23901,x23902)+E(f785(x23901,x23903,x23904),f785(x23902,x23903,x23904))
% 218.59/218.73 [2391]~E(x23911,x23912)+E(f785(x23913,x23911,x23914),f785(x23913,x23912,x23914))
% 218.59/218.73 [2392]~E(x23921,x23922)+E(f785(x23923,x23924,x23921),f785(x23923,x23924,x23922))
% 218.59/218.73 [2393]~E(x23931,x23932)+E(f513(x23931,x23933,x23934),f513(x23932,x23933,x23934))
% 218.59/218.73 [2394]~E(x23941,x23942)+E(f513(x23943,x23941,x23944),f513(x23943,x23942,x23944))
% 218.59/218.73 [2395]~E(x23951,x23952)+E(f513(x23953,x23954,x23951),f513(x23953,x23954,x23952))
% 218.59/218.73 [2396]~E(x23961,x23962)+E(f442(x23961,x23963,x23964,x23965,x23966),f442(x23962,x23963,x23964,x23965,x23966))
% 218.59/218.73 [2397]~E(x23971,x23972)+E(f442(x23973,x23971,x23974,x23975,x23976),f442(x23973,x23972,x23974,x23975,x23976))
% 218.59/218.73 [2398]~E(x23981,x23982)+E(f442(x23983,x23984,x23981,x23985,x23986),f442(x23983,x23984,x23982,x23985,x23986))
% 218.59/218.73 [2399]~E(x23991,x23992)+E(f442(x23993,x23994,x23995,x23991,x23996),f442(x23993,x23994,x23995,x23992,x23996))
% 218.59/218.73 [2400]~E(x24001,x24002)+E(f442(x24003,x24004,x24005,x24006,x24001),f442(x24003,x24004,x24005,x24006,x24002))
% 218.59/218.73 [2401]~E(x24011,x24012)+E(f337(x24011,x24013,x24014,x24015,x24016),f337(x24012,x24013,x24014,x24015,x24016))
% 218.59/218.73 [2402]~E(x24021,x24022)+E(f337(x24023,x24021,x24024,x24025,x24026),f337(x24023,x24022,x24024,x24025,x24026))
% 218.59/218.73 [2403]~E(x24031,x24032)+E(f337(x24033,x24034,x24031,x24035,x24036),f337(x24033,x24034,x24032,x24035,x24036))
% 218.59/218.73 [2404]~E(x24041,x24042)+E(f337(x24043,x24044,x24045,x24041,x24046),f337(x24043,x24044,x24045,x24042,x24046))
% 218.59/218.73 [2405]~E(x24051,x24052)+E(f337(x24053,x24054,x24055,x24056,x24051),f337(x24053,x24054,x24055,x24056,x24052))
% 218.59/218.73 [2406]~E(x24061,x24062)+E(f577(x24061,x24063,x24064),f577(x24062,x24063,x24064))
% 218.59/218.73 [2407]~E(x24071,x24072)+E(f577(x24073,x24071,x24074),f577(x24073,x24072,x24074))
% 218.59/218.73 [2408]~E(x24081,x24082)+E(f577(x24083,x24084,x24081),f577(x24083,x24084,x24082))
% 218.59/218.73 [2409]~E(x24091,x24092)+E(f414(x24091,x24093),f414(x24092,x24093))
% 218.59/218.73 [2410]~E(x24101,x24102)+E(f414(x24103,x24101),f414(x24103,x24102))
% 218.59/218.73 [2411]~E(x24111,x24112)+E(f218(x24111,x24113,x24114,x24115,x24116),f218(x24112,x24113,x24114,x24115,x24116))
% 218.59/218.73 [2412]~E(x24121,x24122)+E(f218(x24123,x24121,x24124,x24125,x24126),f218(x24123,x24122,x24124,x24125,x24126))
% 218.59/218.73 [2413]~E(x24131,x24132)+E(f218(x24133,x24134,x24131,x24135,x24136),f218(x24133,x24134,x24132,x24135,x24136))
% 218.59/218.73 [2414]~E(x24141,x24142)+E(f218(x24143,x24144,x24145,x24141,x24146),f218(x24143,x24144,x24145,x24142,x24146))
% 218.59/218.73 [2415]~E(x24151,x24152)+E(f218(x24153,x24154,x24155,x24156,x24151),f218(x24153,x24154,x24155,x24156,x24152))
% 218.59/218.73 [2416]~E(x24161,x24162)+E(f862(x24161,x24163),f862(x24162,x24163))
% 218.59/218.73 [2417]~E(x24171,x24172)+E(f862(x24173,x24171),f862(x24173,x24172))
% 218.59/218.73 [2418]~E(x24181,x24182)+E(f743(x24181,x24183,x24184,x24185),f743(x24182,x24183,x24184,x24185))
% 218.59/218.73 [2419]~E(x24191,x24192)+E(f743(x24193,x24191,x24194,x24195),f743(x24193,x24192,x24194,x24195))
% 218.59/218.73 [2420]~E(x24201,x24202)+E(f743(x24203,x24204,x24201,x24205),f743(x24203,x24204,x24202,x24205))
% 218.59/218.73 [2421]~E(x24211,x24212)+E(f743(x24213,x24214,x24215,x24211),f743(x24213,x24214,x24215,x24212))
% 218.59/218.73 [2422]~E(x24221,x24222)+E(f707(x24221,x24223,x24224),f707(x24222,x24223,x24224))
% 218.59/218.73 [2423]~E(x24231,x24232)+E(f707(x24233,x24231,x24234),f707(x24233,x24232,x24234))
% 218.59/218.73 [2424]~E(x24241,x24242)+E(f707(x24243,x24244,x24241),f707(x24243,x24244,x24242))
% 218.59/218.73 [2425]~E(x24251,x24252)+E(f326(x24251,x24253,x24254,x24255),f326(x24252,x24253,x24254,x24255))
% 218.59/218.73 [2426]~E(x24261,x24262)+E(f326(x24263,x24261,x24264,x24265),f326(x24263,x24262,x24264,x24265))
% 218.59/218.73 [2427]~E(x24271,x24272)+E(f326(x24273,x24274,x24271,x24275),f326(x24273,x24274,x24272,x24275))
% 218.59/218.73 [2428]~E(x24281,x24282)+E(f326(x24283,x24284,x24285,x24281),f326(x24283,x24284,x24285,x24282))
% 218.59/218.73 [2429]~E(x24291,x24292)+E(f470(x24291,x24293,x24294,x24295,x24296),f470(x24292,x24293,x24294,x24295,x24296))
% 218.59/218.73 [2430]~E(x24301,x24302)+E(f470(x24303,x24301,x24304,x24305,x24306),f470(x24303,x24302,x24304,x24305,x24306))
% 218.59/218.73 [2431]~E(x24311,x24312)+E(f470(x24313,x24314,x24311,x24315,x24316),f470(x24313,x24314,x24312,x24315,x24316))
% 218.59/218.73 [2432]~E(x24321,x24322)+E(f470(x24323,x24324,x24325,x24321,x24326),f470(x24323,x24324,x24325,x24322,x24326))
% 218.59/218.73 [2433]~E(x24331,x24332)+E(f470(x24333,x24334,x24335,x24336,x24331),f470(x24333,x24334,x24335,x24336,x24332))
% 218.59/218.73 [2434]~E(x24341,x24342)+E(f622(x24341,x24343,x24344),f622(x24342,x24343,x24344))
% 218.59/218.73 [2435]~E(x24351,x24352)+E(f622(x24353,x24351,x24354),f622(x24353,x24352,x24354))
% 218.59/218.73 [2436]~E(x24361,x24362)+E(f622(x24363,x24364,x24361),f622(x24363,x24364,x24362))
% 218.59/218.73 [2437]~E(x24371,x24372)+E(f506(x24371,x24373,x24374,x24375,x24376),f506(x24372,x24373,x24374,x24375,x24376))
% 218.59/218.73 [2438]~E(x24381,x24382)+E(f506(x24383,x24381,x24384,x24385,x24386),f506(x24383,x24382,x24384,x24385,x24386))
% 218.59/218.73 [2439]~E(x24391,x24392)+E(f506(x24393,x24394,x24391,x24395,x24396),f506(x24393,x24394,x24392,x24395,x24396))
% 218.59/218.73 [2440]~E(x24401,x24402)+E(f506(x24403,x24404,x24405,x24401,x24406),f506(x24403,x24404,x24405,x24402,x24406))
% 218.59/218.73 [2441]~E(x24411,x24412)+E(f506(x24413,x24414,x24415,x24416,x24411),f506(x24413,x24414,x24415,x24416,x24412))
% 218.59/218.73 [2442]~E(x24421,x24422)+E(f624(x24421,x24423,x24424),f624(x24422,x24423,x24424))
% 218.59/218.73 [2443]~E(x24431,x24432)+E(f624(x24433,x24431,x24434),f624(x24433,x24432,x24434))
% 218.59/218.73 [2444]~E(x24441,x24442)+E(f624(x24443,x24444,x24441),f624(x24443,x24444,x24442))
% 218.59/218.73 [2445]~E(x24451,x24452)+E(f762(x24451,x24453,x24454,x24455,x24456),f762(x24452,x24453,x24454,x24455,x24456))
% 218.59/218.73 [2446]~E(x24461,x24462)+E(f762(x24463,x24461,x24464,x24465,x24466),f762(x24463,x24462,x24464,x24465,x24466))
% 218.59/218.73 [2447]~E(x24471,x24472)+E(f762(x24473,x24474,x24471,x24475,x24476),f762(x24473,x24474,x24472,x24475,x24476))
% 218.59/218.73 [2448]~E(x24481,x24482)+E(f762(x24483,x24484,x24485,x24481,x24486),f762(x24483,x24484,x24485,x24482,x24486))
% 218.59/218.73 [2449]~E(x24491,x24492)+E(f762(x24493,x24494,x24495,x24496,x24491),f762(x24493,x24494,x24495,x24496,x24492))
% 218.59/218.73 [2450]~E(x24501,x24502)+E(f546(x24501,x24503,x24504,x24505),f546(x24502,x24503,x24504,x24505))
% 218.59/218.73 [2451]~E(x24511,x24512)+E(f546(x24513,x24511,x24514,x24515),f546(x24513,x24512,x24514,x24515))
% 218.59/218.73 [2452]~E(x24521,x24522)+E(f546(x24523,x24524,x24521,x24525),f546(x24523,x24524,x24522,x24525))
% 218.59/218.73 [2453]~E(x24531,x24532)+E(f546(x24533,x24534,x24535,x24531),f546(x24533,x24534,x24535,x24532))
% 218.59/218.73 [2454]~E(x24541,x24542)+E(f619(x24541,x24543,x24544),f619(x24542,x24543,x24544))
% 218.59/218.73 [2455]~E(x24551,x24552)+E(f619(x24553,x24551,x24554),f619(x24553,x24552,x24554))
% 218.59/218.73 [2456]~E(x24561,x24562)+E(f619(x24563,x24564,x24561),f619(x24563,x24564,x24562))
% 218.59/218.73 [2457]~E(x24571,x24572)+E(f509(x24571,x24573,x24574,x24575,x24576,x24577,x24578,x24579),f509(x24572,x24573,x24574,x24575,x24576,x24577,x24578,x24579))
% 218.59/218.73 [2458]~E(x24581,x24582)+E(f509(x24583,x24581,x24584,x24585,x24586,x24587,x24588,x24589),f509(x24583,x24582,x24584,x24585,x24586,x24587,x24588,x24589))
% 218.59/218.73 [2459]~E(x24591,x24592)+E(f509(x24593,x24594,x24591,x24595,x24596,x24597,x24598,x24599),f509(x24593,x24594,x24592,x24595,x24596,x24597,x24598,x24599))
% 218.59/218.73 [2460]~E(x24601,x24602)+E(f509(x24603,x24604,x24605,x24601,x24606,x24607,x24608,x24609),f509(x24603,x24604,x24605,x24602,x24606,x24607,x24608,x24609))
% 218.59/218.73 [2461]~E(x24611,x24612)+E(f509(x24613,x24614,x24615,x24616,x24611,x24617,x24618,x24619),f509(x24613,x24614,x24615,x24616,x24612,x24617,x24618,x24619))
% 218.59/218.73 [2462]~E(x24621,x24622)+E(f509(x24623,x24624,x24625,x24626,x24627,x24621,x24628,x24629),f509(x24623,x24624,x24625,x24626,x24627,x24622,x24628,x24629))
% 218.59/218.73 [2463]~E(x24631,x24632)+E(f509(x24633,x24634,x24635,x24636,x24637,x24638,x24631,x24639),f509(x24633,x24634,x24635,x24636,x24637,x24638,x24632,x24639))
% 218.59/218.73 [2464]~E(x24641,x24642)+E(f509(x24643,x24644,x24645,x24646,x24647,x24648,x24649,x24641),f509(x24643,x24644,x24645,x24646,x24647,x24648,x24649,x24642))
% 218.59/218.73 [2465]~E(x24651,x24652)+E(f228(x24651,x24653),f228(x24652,x24653))
% 218.59/218.73 [2466]~E(x24661,x24662)+E(f228(x24663,x24661),f228(x24663,x24662))
% 218.59/218.73 [2467]~E(x24671,x24672)+E(f332(x24671,x24673,x24674,x24675,x24676),f332(x24672,x24673,x24674,x24675,x24676))
% 218.59/218.73 [2468]~E(x24681,x24682)+E(f332(x24683,x24681,x24684,x24685,x24686),f332(x24683,x24682,x24684,x24685,x24686))
% 218.59/218.73 [2469]~E(x24691,x24692)+E(f332(x24693,x24694,x24691,x24695,x24696),f332(x24693,x24694,x24692,x24695,x24696))
% 218.59/218.73 [2470]~E(x24701,x24702)+E(f332(x24703,x24704,x24705,x24701,x24706),f332(x24703,x24704,x24705,x24702,x24706))
% 218.59/218.73 [2471]~E(x24711,x24712)+E(f332(x24713,x24714,x24715,x24716,x24711),f332(x24713,x24714,x24715,x24716,x24712))
% 218.59/218.73 [2472]~E(x24721,x24722)+E(f216(x24721,x24723,x24724),f216(x24722,x24723,x24724))
% 218.59/218.73 [2473]~E(x24731,x24732)+E(f216(x24733,x24731,x24734),f216(x24733,x24732,x24734))
% 218.59/218.73 [2474]~E(x24741,x24742)+E(f216(x24743,x24744,x24741),f216(x24743,x24744,x24742))
% 218.59/218.73 [2475]~E(x24751,x24752)+E(f267(x24751),f267(x24752))
% 218.59/218.73 [2476]~E(x24761,x24762)+E(f229(x24761,x24763),f229(x24762,x24763))
% 218.59/218.73 [2477]~E(x24771,x24772)+E(f229(x24773,x24771),f229(x24773,x24772))
% 218.59/218.73 [2478]~E(x24781,x24782)+E(f722(x24781,x24783),f722(x24782,x24783))
% 218.59/218.73 [2479]~E(x24791,x24792)+E(f722(x24793,x24791),f722(x24793,x24792))
% 218.59/218.73 [2480]~E(x24801,x24802)+E(f775(x24801,x24803,x24804),f775(x24802,x24803,x24804))
% 218.59/218.73 [2481]~E(x24811,x24812)+E(f775(x24813,x24811,x24814),f775(x24813,x24812,x24814))
% 218.59/218.73 [2482]~E(x24821,x24822)+E(f775(x24823,x24824,x24821),f775(x24823,x24824,x24822))
% 218.59/218.73 [2483]~E(x24831,x24832)+E(f532(x24831,x24833),f532(x24832,x24833))
% 218.59/218.73 [2484]~E(x24841,x24842)+E(f532(x24843,x24841),f532(x24843,x24842))
% 218.59/218.73 [2485]~E(x24851,x24852)+E(f802(x24851,x24853,x24854),f802(x24852,x24853,x24854))
% 218.59/218.73 [2486]~E(x24861,x24862)+E(f802(x24863,x24861,x24864),f802(x24863,x24862,x24864))
% 218.59/218.73 [2487]~E(x24871,x24872)+E(f802(x24873,x24874,x24871),f802(x24873,x24874,x24872))
% 218.59/218.73 [2488]~E(x24881,x24882)+E(f867(x24881,x24883),f867(x24882,x24883))
% 218.59/218.73 [2489]~E(x24891,x24892)+E(f867(x24893,x24891),f867(x24893,x24892))
% 218.59/218.73 [2490]~E(x24901,x24902)+E(f766(x24901,x24903,x24904,x24905,x24906,x24907,x24908),f766(x24902,x24903,x24904,x24905,x24906,x24907,x24908))
% 218.59/218.73 [2491]~E(x24911,x24912)+E(f766(x24913,x24911,x24914,x24915,x24916,x24917,x24918),f766(x24913,x24912,x24914,x24915,x24916,x24917,x24918))
% 218.59/218.73 [2492]~E(x24921,x24922)+E(f766(x24923,x24924,x24921,x24925,x24926,x24927,x24928),f766(x24923,x24924,x24922,x24925,x24926,x24927,x24928))
% 218.59/218.73 [2493]~E(x24931,x24932)+E(f766(x24933,x24934,x24935,x24931,x24936,x24937,x24938),f766(x24933,x24934,x24935,x24932,x24936,x24937,x24938))
% 218.59/218.73 [2494]~E(x24941,x24942)+E(f766(x24943,x24944,x24945,x24946,x24941,x24947,x24948),f766(x24943,x24944,x24945,x24946,x24942,x24947,x24948))
% 218.59/218.73 [2495]~E(x24951,x24952)+E(f766(x24953,x24954,x24955,x24956,x24957,x24951,x24958),f766(x24953,x24954,x24955,x24956,x24957,x24952,x24958))
% 218.59/218.73 [2496]~E(x24961,x24962)+E(f766(x24963,x24964,x24965,x24966,x24967,x24968,x24961),f766(x24963,x24964,x24965,x24966,x24967,x24968,x24962))
% 218.59/218.73 [2497]~E(x24971,x24972)+E(f713(x24971,x24973,x24974,x24975,x24976),f713(x24972,x24973,x24974,x24975,x24976))
% 218.59/218.73 [2498]~E(x24981,x24982)+E(f713(x24983,x24981,x24984,x24985,x24986),f713(x24983,x24982,x24984,x24985,x24986))
% 218.59/218.73 [2499]~E(x24991,x24992)+E(f713(x24993,x24994,x24991,x24995,x24996),f713(x24993,x24994,x24992,x24995,x24996))
% 218.59/218.73 [2500]~E(x25001,x25002)+E(f713(x25003,x25004,x25005,x25001,x25006),f713(x25003,x25004,x25005,x25002,x25006))
% 218.59/218.73 [2501]~E(x25011,x25012)+E(f713(x25013,x25014,x25015,x25016,x25011),f713(x25013,x25014,x25015,x25016,x25012))
% 218.59/218.73 [2502]~E(x25021,x25022)+E(f594(x25021,x25023,x25024,x25025,x25026),f594(x25022,x25023,x25024,x25025,x25026))
% 218.59/218.73 [2503]~E(x25031,x25032)+E(f594(x25033,x25031,x25034,x25035,x25036),f594(x25033,x25032,x25034,x25035,x25036))
% 218.59/218.73 [2504]~E(x25041,x25042)+E(f594(x25043,x25044,x25041,x25045,x25046),f594(x25043,x25044,x25042,x25045,x25046))
% 218.59/218.73 [2505]~E(x25051,x25052)+E(f594(x25053,x25054,x25055,x25051,x25056),f594(x25053,x25054,x25055,x25052,x25056))
% 218.59/218.73 [2506]~E(x25061,x25062)+E(f594(x25063,x25064,x25065,x25066,x25061),f594(x25063,x25064,x25065,x25066,x25062))
% 218.59/218.73 [2507]~E(x25071,x25072)+E(f857(x25071,x25073,x25074,x25075,x25076,x25077,x25078),f857(x25072,x25073,x25074,x25075,x25076,x25077,x25078))
% 218.59/218.73 [2508]~E(x25081,x25082)+E(f857(x25083,x25081,x25084,x25085,x25086,x25087,x25088),f857(x25083,x25082,x25084,x25085,x25086,x25087,x25088))
% 218.59/218.73 [2509]~E(x25091,x25092)+E(f857(x25093,x25094,x25091,x25095,x25096,x25097,x25098),f857(x25093,x25094,x25092,x25095,x25096,x25097,x25098))
% 218.59/218.73 [2510]~E(x25101,x25102)+E(f857(x25103,x25104,x25105,x25101,x25106,x25107,x25108),f857(x25103,x25104,x25105,x25102,x25106,x25107,x25108))
% 218.59/218.73 [2511]~E(x25111,x25112)+E(f857(x25113,x25114,x25115,x25116,x25111,x25117,x25118),f857(x25113,x25114,x25115,x25116,x25112,x25117,x25118))
% 218.59/218.73 [2512]~E(x25121,x25122)+E(f857(x25123,x25124,x25125,x25126,x25127,x25121,x25128),f857(x25123,x25124,x25125,x25126,x25127,x25122,x25128))
% 218.59/218.73 [2513]~E(x25131,x25132)+E(f857(x25133,x25134,x25135,x25136,x25137,x25138,x25131),f857(x25133,x25134,x25135,x25136,x25137,x25138,x25132))
% 218.59/218.73 [2514]~E(x25141,x25142)+E(f385(x25141,x25143,x25144,x25145),f385(x25142,x25143,x25144,x25145))
% 218.59/218.73 [2515]~E(x25151,x25152)+E(f385(x25153,x25151,x25154,x25155),f385(x25153,x25152,x25154,x25155))
% 218.59/218.73 [2516]~E(x25161,x25162)+E(f385(x25163,x25164,x25161,x25165),f385(x25163,x25164,x25162,x25165))
% 218.59/218.73 [2517]~E(x25171,x25172)+E(f385(x25173,x25174,x25175,x25171),f385(x25173,x25174,x25175,x25172))
% 218.59/218.73 [2518]~E(x25181,x25182)+E(f322(x25181),f322(x25182))
% 218.59/218.73 [2519]~E(x25191,x25192)+E(f771(x25191,x25193,x25194),f771(x25192,x25193,x25194))
% 218.59/218.73 [2520]~E(x25201,x25202)+E(f771(x25203,x25201,x25204),f771(x25203,x25202,x25204))
% 218.59/218.73 [2521]~E(x25211,x25212)+E(f771(x25213,x25214,x25211),f771(x25213,x25214,x25212))
% 218.59/218.73 [2522]~E(x25221,x25222)+E(f529(x25221),f529(x25222))
% 218.59/218.73 [2523]~E(x25231,x25232)+E(f364(x25231),f364(x25232))
% 218.59/218.73 [2524]~E(x25241,x25242)+E(f355(x25241,x25243),f355(x25242,x25243))
% 218.59/218.73 [2525]~E(x25251,x25252)+E(f355(x25253,x25251),f355(x25253,x25252))
% 218.59/218.73 [2526]~E(x25261,x25262)+E(f861(x25261,x25263),f861(x25262,x25263))
% 218.59/218.73 [2527]~E(x25271,x25272)+E(f861(x25273,x25271),f861(x25273,x25272))
% 218.59/218.73 [2528]~E(x25281,x25282)+E(f665(x25281,x25283),f665(x25282,x25283))
% 218.59/218.73 [2529]~E(x25291,x25292)+E(f665(x25293,x25291),f665(x25293,x25292))
% 218.59/218.73 [2530]~E(x25301,x25302)+E(f354(x25301,x25303,x25304,x25305,x25306),f354(x25302,x25303,x25304,x25305,x25306))
% 218.59/218.73 [2531]~E(x25311,x25312)+E(f354(x25313,x25311,x25314,x25315,x25316),f354(x25313,x25312,x25314,x25315,x25316))
% 218.59/218.73 [2532]~E(x25321,x25322)+E(f354(x25323,x25324,x25321,x25325,x25326),f354(x25323,x25324,x25322,x25325,x25326))
% 218.59/218.73 [2533]~E(x25331,x25332)+E(f354(x25333,x25334,x25335,x25331,x25336),f354(x25333,x25334,x25335,x25332,x25336))
% 218.59/218.73 [2534]~E(x25341,x25342)+E(f354(x25343,x25344,x25345,x25346,x25341),f354(x25343,x25344,x25345,x25346,x25342))
% 218.59/218.73 [2535]~E(x25351,x25352)+E(f800(x25351,x25353,x25354,x25355,x25356,x25357,x25358),f800(x25352,x25353,x25354,x25355,x25356,x25357,x25358))
% 218.59/218.73 [2536]~E(x25361,x25362)+E(f800(x25363,x25361,x25364,x25365,x25366,x25367,x25368),f800(x25363,x25362,x25364,x25365,x25366,x25367,x25368))
% 218.59/218.73 [2537]~E(x25371,x25372)+E(f800(x25373,x25374,x25371,x25375,x25376,x25377,x25378),f800(x25373,x25374,x25372,x25375,x25376,x25377,x25378))
% 218.59/218.73 [2538]~E(x25381,x25382)+E(f800(x25383,x25384,x25385,x25381,x25386,x25387,x25388),f800(x25383,x25384,x25385,x25382,x25386,x25387,x25388))
% 218.59/218.73 [2539]~E(x25391,x25392)+E(f800(x25393,x25394,x25395,x25396,x25391,x25397,x25398),f800(x25393,x25394,x25395,x25396,x25392,x25397,x25398))
% 218.59/218.73 [2540]~E(x25401,x25402)+E(f800(x25403,x25404,x25405,x25406,x25407,x25401,x25408),f800(x25403,x25404,x25405,x25406,x25407,x25402,x25408))
% 218.59/218.73 [2541]~E(x25411,x25412)+E(f800(x25413,x25414,x25415,x25416,x25417,x25418,x25411),f800(x25413,x25414,x25415,x25416,x25417,x25418,x25412))
% 218.59/218.73 [2542]~E(x25421,x25422)+E(f258(x25421),f258(x25422))
% 218.59/218.73 [2543]~E(x25431,x25432)+E(f704(x25431,x25433,x25434),f704(x25432,x25433,x25434))
% 218.59/218.73 [2544]~E(x25441,x25442)+E(f704(x25443,x25441,x25444),f704(x25443,x25442,x25444))
% 218.59/218.73 [2545]~E(x25451,x25452)+E(f704(x25453,x25454,x25451),f704(x25453,x25454,x25452))
% 218.59/218.73 [2546]~E(x25461,x25462)+E(f694(x25461,x25463,x25464,x25465),f694(x25462,x25463,x25464,x25465))
% 218.59/218.73 [2547]~E(x25471,x25472)+E(f694(x25473,x25471,x25474,x25475),f694(x25473,x25472,x25474,x25475))
% 218.59/218.73 [2548]~E(x25481,x25482)+E(f694(x25483,x25484,x25481,x25485),f694(x25483,x25484,x25482,x25485))
% 218.59/218.73 [2549]~E(x25491,x25492)+E(f694(x25493,x25494,x25495,x25491),f694(x25493,x25494,x25495,x25492))
% 218.59/218.73 [2550]~E(x25501,x25502)+E(f420(x25501,x25503,x25504,x25505),f420(x25502,x25503,x25504,x25505))
% 218.59/218.73 [2551]~E(x25511,x25512)+E(f420(x25513,x25511,x25514,x25515),f420(x25513,x25512,x25514,x25515))
% 218.59/218.73 [2552]~E(x25521,x25522)+E(f420(x25523,x25524,x25521,x25525),f420(x25523,x25524,x25522,x25525))
% 218.59/218.73 [2553]~E(x25531,x25532)+E(f420(x25533,x25534,x25535,x25531),f420(x25533,x25534,x25535,x25532))
% 218.59/218.73 [2554]~E(x25541,x25542)+E(f859(x25541,x25543,x25544),f859(x25542,x25543,x25544))
% 218.59/218.73 [2555]~E(x25551,x25552)+E(f859(x25553,x25551,x25554),f859(x25553,x25552,x25554))
% 218.59/218.73 [2556]~E(x25561,x25562)+E(f859(x25563,x25564,x25561),f859(x25563,x25564,x25562))
% 218.59/218.73 [2557]~E(x25571,x25572)+E(f434(x25571,x25573,x25574),f434(x25572,x25573,x25574))
% 218.59/218.73 [2558]~E(x25581,x25582)+E(f434(x25583,x25581,x25584),f434(x25583,x25582,x25584))
% 218.59/218.73 [2559]~E(x25591,x25592)+E(f434(x25593,x25594,x25591),f434(x25593,x25594,x25592))
% 218.59/218.73 [2560]~E(x25601,x25602)+E(f456(x25601),f456(x25602))
% 218.59/218.73 [2561]~E(x25611,x25612)+E(f580(x25611,x25613,x25614),f580(x25612,x25613,x25614))
% 218.59/218.73 [2562]~E(x25621,x25622)+E(f580(x25623,x25621,x25624),f580(x25623,x25622,x25624))
% 218.59/218.73 [2563]~E(x25631,x25632)+E(f580(x25633,x25634,x25631),f580(x25633,x25634,x25632))
% 218.59/218.73 [2564]~E(x25641,x25642)+E(f773(x25641,x25643,x25644),f773(x25642,x25643,x25644))
% 218.59/218.73 [2565]~E(x25651,x25652)+E(f773(x25653,x25651,x25654),f773(x25653,x25652,x25654))
% 218.59/218.73 [2566]~E(x25661,x25662)+E(f773(x25663,x25664,x25661),f773(x25663,x25664,x25662))
% 218.59/218.73 [2567]~E(x25671,x25672)+E(f407(x25671,x25673),f407(x25672,x25673))
% 218.59/218.73 [2568]~E(x25681,x25682)+E(f407(x25683,x25681),f407(x25683,x25682))
% 218.59/218.73 [2569]~E(x25691,x25692)+E(f756(x25691,x25693),f756(x25692,x25693))
% 218.59/218.73 [2570]~E(x25701,x25702)+E(f756(x25703,x25701),f756(x25703,x25702))
% 218.59/218.73 [2571]~E(x25711,x25712)+E(f631(x25711,x25713),f631(x25712,x25713))
% 218.59/218.73 [2572]~E(x25721,x25722)+E(f631(x25723,x25721),f631(x25723,x25722))
% 218.59/218.73 [2573]~E(x25731,x25732)+E(f879(x25731,x25733,x25734),f879(x25732,x25733,x25734))
% 218.59/218.73 [2574]~E(x25741,x25742)+E(f879(x25743,x25741,x25744),f879(x25743,x25742,x25744))
% 218.59/218.73 [2575]~E(x25751,x25752)+E(f879(x25753,x25754,x25751),f879(x25753,x25754,x25752))
% 218.59/218.73 [2576]~E(x25761,x25762)+E(f860(x25761,x25763),f860(x25762,x25763))
% 218.59/218.73 [2577]~E(x25771,x25772)+E(f860(x25773,x25771),f860(x25773,x25772))
% 218.59/218.73 [2578]~E(x25781,x25782)+E(f368(x25781),f368(x25782))
% 218.59/218.73 [2579]~E(x25791,x25792)+E(f651(x25791,x25793,x25794),f651(x25792,x25793,x25794))
% 218.59/218.73 [2580]~E(x25801,x25802)+E(f651(x25803,x25801,x25804),f651(x25803,x25802,x25804))
% 218.59/218.73 [2581]~E(x25811,x25812)+E(f651(x25813,x25814,x25811),f651(x25813,x25814,x25812))
% 218.59/218.73 [2582]~E(x25821,x25822)+E(f557(x25821,x25823),f557(x25822,x25823))
% 218.59/218.73 [2583]~E(x25831,x25832)+E(f557(x25833,x25831),f557(x25833,x25832))
% 218.59/218.73 [2584]~E(x25841,x25842)+E(f764(x25841,x25843,x25844,x25845,x25846),f764(x25842,x25843,x25844,x25845,x25846))
% 218.59/218.73 [2585]~E(x25851,x25852)+E(f764(x25853,x25851,x25854,x25855,x25856),f764(x25853,x25852,x25854,x25855,x25856))
% 218.59/218.73 [2586]~E(x25861,x25862)+E(f764(x25863,x25864,x25861,x25865,x25866),f764(x25863,x25864,x25862,x25865,x25866))
% 218.59/218.73 [2587]~E(x25871,x25872)+E(f764(x25873,x25874,x25875,x25871,x25876),f764(x25873,x25874,x25875,x25872,x25876))
% 218.59/218.73 [2588]~E(x25881,x25882)+E(f764(x25883,x25884,x25885,x25886,x25881),f764(x25883,x25884,x25885,x25886,x25882))
% 218.59/218.73 [2589]~E(x25891,x25892)+E(f237(x25891,x25893,x25894,x25895,x25896,x25897),f237(x25892,x25893,x25894,x25895,x25896,x25897))
% 218.59/218.73 [2590]~E(x25901,x25902)+E(f237(x25903,x25901,x25904,x25905,x25906,x25907),f237(x25903,x25902,x25904,x25905,x25906,x25907))
% 218.59/218.73 [2591]~E(x25911,x25912)+E(f237(x25913,x25914,x25911,x25915,x25916,x25917),f237(x25913,x25914,x25912,x25915,x25916,x25917))
% 218.59/218.73 [2592]~E(x25921,x25922)+E(f237(x25923,x25924,x25925,x25921,x25926,x25927),f237(x25923,x25924,x25925,x25922,x25926,x25927))
% 218.59/218.73 [2593]~E(x25931,x25932)+E(f237(x25933,x25934,x25935,x25936,x25931,x25937),f237(x25933,x25934,x25935,x25936,x25932,x25937))
% 218.59/218.73 [2594]~E(x25941,x25942)+E(f237(x25943,x25944,x25945,x25946,x25947,x25941),f237(x25943,x25944,x25945,x25946,x25947,x25942))
% 218.59/218.73 [2595]~E(x25951,x25952)+E(f521(x25951,x25953,x25954),f521(x25952,x25953,x25954))
% 218.59/218.73 [2596]~E(x25961,x25962)+E(f521(x25963,x25961,x25964),f521(x25963,x25962,x25964))
% 218.59/218.73 [2597]~E(x25971,x25972)+E(f521(x25973,x25974,x25971),f521(x25973,x25974,x25972))
% 218.59/218.73 [2598]~E(x25981,x25982)+E(f658(x25981,x25983,x25984,x25985),f658(x25982,x25983,x25984,x25985))
% 218.59/218.73 [2599]~E(x25991,x25992)+E(f658(x25993,x25991,x25994,x25995),f658(x25993,x25992,x25994,x25995))
% 218.59/218.73 [2600]~E(x26001,x26002)+E(f658(x26003,x26004,x26001,x26005),f658(x26003,x26004,x26002,x26005))
% 218.59/218.73 [2601]~E(x26011,x26012)+E(f658(x26013,x26014,x26015,x26011),f658(x26013,x26014,x26015,x26012))
% 218.59/218.73 [2602]~E(x26021,x26022)+E(f353(x26021,x26023,x26024,x26025,x26026),f353(x26022,x26023,x26024,x26025,x26026))
% 218.59/218.73 [2603]~E(x26031,x26032)+E(f353(x26033,x26031,x26034,x26035,x26036),f353(x26033,x26032,x26034,x26035,x26036))
% 218.59/218.73 [2604]~E(x26041,x26042)+E(f353(x26043,x26044,x26041,x26045,x26046),f353(x26043,x26044,x26042,x26045,x26046))
% 218.59/218.73 [2605]~E(x26051,x26052)+E(f353(x26053,x26054,x26055,x26051,x26056),f353(x26053,x26054,x26055,x26052,x26056))
% 218.59/218.73 [2606]~E(x26061,x26062)+E(f353(x26063,x26064,x26065,x26066,x26061),f353(x26063,x26064,x26065,x26066,x26062))
% 218.59/218.73 [2607]~E(x26071,x26072)+E(f251(x26071,x26073,x26074,x26075,x26076),f251(x26072,x26073,x26074,x26075,x26076))
% 218.59/218.73 [2608]~E(x26081,x26082)+E(f251(x26083,x26081,x26084,x26085,x26086),f251(x26083,x26082,x26084,x26085,x26086))
% 218.59/218.73 [2609]~E(x26091,x26092)+E(f251(x26093,x26094,x26091,x26095,x26096),f251(x26093,x26094,x26092,x26095,x26096))
% 218.59/218.73 [2610]~E(x26101,x26102)+E(f251(x26103,x26104,x26105,x26101,x26106),f251(x26103,x26104,x26105,x26102,x26106))
% 218.59/218.73 [2611]~E(x26111,x26112)+E(f251(x26113,x26114,x26115,x26116,x26111),f251(x26113,x26114,x26115,x26116,x26112))
% 218.59/218.73 [2612]~E(x26121,x26122)+E(f201(x26121,x26123,x26124,x26125,x26126,x26127,x26128),f201(x26122,x26123,x26124,x26125,x26126,x26127,x26128))
% 218.59/218.73 [2613]~E(x26131,x26132)+E(f201(x26133,x26131,x26134,x26135,x26136,x26137,x26138),f201(x26133,x26132,x26134,x26135,x26136,x26137,x26138))
% 218.59/218.73 [2614]~E(x26141,x26142)+E(f201(x26143,x26144,x26141,x26145,x26146,x26147,x26148),f201(x26143,x26144,x26142,x26145,x26146,x26147,x26148))
% 218.59/218.73 [2615]~E(x26151,x26152)+E(f201(x26153,x26154,x26155,x26151,x26156,x26157,x26158),f201(x26153,x26154,x26155,x26152,x26156,x26157,x26158))
% 218.59/218.73 [2616]~E(x26161,x26162)+E(f201(x26163,x26164,x26165,x26166,x26161,x26167,x26168),f201(x26163,x26164,x26165,x26166,x26162,x26167,x26168))
% 218.59/218.73 [2617]~E(x26171,x26172)+E(f201(x26173,x26174,x26175,x26176,x26177,x26171,x26178),f201(x26173,x26174,x26175,x26176,x26177,x26172,x26178))
% 218.59/218.73 [2618]~E(x26181,x26182)+E(f201(x26183,x26184,x26185,x26186,x26187,x26188,x26181),f201(x26183,x26184,x26185,x26186,x26187,x26188,x26182))
% 218.59/218.73 [2619]~E(x26191,x26192)+E(f520(x26191),f520(x26192))
% 218.59/218.73 [2620]~E(x26201,x26202)+E(f282(x26201,x26203),f282(x26202,x26203))
% 218.59/218.73 [2621]~E(x26211,x26212)+E(f282(x26213,x26211),f282(x26213,x26212))
% 218.59/218.73 [2622]~E(x26221,x26222)+E(f357(x26221),f357(x26222))
% 218.59/218.73 [2623]~E(x26231,x26232)+E(f542(x26231,x26233),f542(x26232,x26233))
% 218.59/218.73 [2624]~E(x26241,x26242)+E(f542(x26243,x26241),f542(x26243,x26242))
% 218.59/218.73 [2625]~E(x26251,x26252)+E(f535(x26251,x26253),f535(x26252,x26253))
% 218.59/218.73 [2626]~E(x26261,x26262)+E(f535(x26263,x26261),f535(x26263,x26262))
% 218.59/218.73 [2627]~E(x26271,x26272)+E(f379(x26271,x26273,x26274,x26275),f379(x26272,x26273,x26274,x26275))
% 218.59/218.73 [2628]~E(x26281,x26282)+E(f379(x26283,x26281,x26284,x26285),f379(x26283,x26282,x26284,x26285))
% 218.59/218.73 [2629]~E(x26291,x26292)+E(f379(x26293,x26294,x26291,x26295),f379(x26293,x26294,x26292,x26295))
% 218.59/218.73 [2630]~E(x26301,x26302)+E(f379(x26303,x26304,x26305,x26301),f379(x26303,x26304,x26305,x26302))
% 218.59/218.73 [2631]~E(x26311,x26312)+E(f852(x26311,x26313,x26314),f852(x26312,x26313,x26314))
% 218.59/218.73 [2632]~E(x26321,x26322)+E(f852(x26323,x26321,x26324),f852(x26323,x26322,x26324))
% 218.59/218.73 [2633]~E(x26331,x26332)+E(f852(x26333,x26334,x26331),f852(x26333,x26334,x26332))
% 218.59/218.73 [2634]~E(x26341,x26342)+E(f499(x26341),f499(x26342))
% 218.59/218.73 [2635]~E(x26351,x26352)+E(f220(x26351,x26353,x26354,x26355,x26356),f220(x26352,x26353,x26354,x26355,x26356))
% 218.59/218.73 [2636]~E(x26361,x26362)+E(f220(x26363,x26361,x26364,x26365,x26366),f220(x26363,x26362,x26364,x26365,x26366))
% 218.59/218.73 [2637]~E(x26371,x26372)+E(f220(x26373,x26374,x26371,x26375,x26376),f220(x26373,x26374,x26372,x26375,x26376))
% 218.59/218.73 [2638]~E(x26381,x26382)+E(f220(x26383,x26384,x26385,x26381,x26386),f220(x26383,x26384,x26385,x26382,x26386))
% 218.59/218.73 [2639]~E(x26391,x26392)+E(f220(x26393,x26394,x26395,x26396,x26391),f220(x26393,x26394,x26395,x26396,x26392))
% 218.59/218.73 [2640]~E(x26401,x26402)+E(f498(x26401),f498(x26402))
% 218.59/218.73 [2641]~E(x26411,x26412)+E(f452(x26411),f452(x26412))
% 218.59/218.73 [2642]~E(x26421,x26422)+E(f705(x26421,x26423,x26424),f705(x26422,x26423,x26424))
% 218.59/218.73 [2643]~E(x26431,x26432)+E(f705(x26433,x26431,x26434),f705(x26433,x26432,x26434))
% 218.59/218.73 [2644]~E(x26441,x26442)+E(f705(x26443,x26444,x26441),f705(x26443,x26444,x26442))
% 218.59/218.73 [2645]~E(x26451,x26452)+E(f718(x26451,x26453,x26454),f718(x26452,x26453,x26454))
% 218.59/218.73 [2646]~E(x26461,x26462)+E(f718(x26463,x26461,x26464),f718(x26463,x26462,x26464))
% 218.59/218.73 [2647]~E(x26471,x26472)+E(f718(x26473,x26474,x26471),f718(x26473,x26474,x26472))
% 218.59/218.73 [2648]~E(x26481,x26482)+E(f603(x26481,x26483,x26484,x26485,x26486,x26487,x26488,x26489),f603(x26482,x26483,x26484,x26485,x26486,x26487,x26488,x26489))
% 218.59/218.73 [2649]~E(x26491,x26492)+E(f603(x26493,x26491,x26494,x26495,x26496,x26497,x26498,x26499),f603(x26493,x26492,x26494,x26495,x26496,x26497,x26498,x26499))
% 218.59/218.73 [2650]~E(x26501,x26502)+E(f603(x26503,x26504,x26501,x26505,x26506,x26507,x26508,x26509),f603(x26503,x26504,x26502,x26505,x26506,x26507,x26508,x26509))
% 218.59/218.73 [2651]~E(x26511,x26512)+E(f603(x26513,x26514,x26515,x26511,x26516,x26517,x26518,x26519),f603(x26513,x26514,x26515,x26512,x26516,x26517,x26518,x26519))
% 218.59/218.73 [2652]~E(x26521,x26522)+E(f603(x26523,x26524,x26525,x26526,x26521,x26527,x26528,x26529),f603(x26523,x26524,x26525,x26526,x26522,x26527,x26528,x26529))
% 218.59/218.73 [2653]~E(x26531,x26532)+E(f603(x26533,x26534,x26535,x26536,x26537,x26531,x26538,x26539),f603(x26533,x26534,x26535,x26536,x26537,x26532,x26538,x26539))
% 218.59/218.73 [2654]~E(x26541,x26542)+E(f603(x26543,x26544,x26545,x26546,x26547,x26548,x26541,x26549),f603(x26543,x26544,x26545,x26546,x26547,x26548,x26542,x26549))
% 218.59/218.73 [2655]~E(x26551,x26552)+E(f603(x26553,x26554,x26555,x26556,x26557,x26558,x26559,x26551),f603(x26553,x26554,x26555,x26556,x26557,x26558,x26559,x26552))
% 218.59/218.73 [2656]~E(x26561,x26562)+E(f321(x26561),f321(x26562))
% 218.59/218.73 [2657]~E(x26571,x26572)+E(f606(x26571,x26573,x26574),f606(x26572,x26573,x26574))
% 218.59/218.73 [2658]~E(x26581,x26582)+E(f606(x26583,x26581,x26584),f606(x26583,x26582,x26584))
% 218.59/218.73 [2659]~E(x26591,x26592)+E(f606(x26593,x26594,x26591),f606(x26593,x26594,x26592))
% 218.59/218.73 [2660]~P1(x26601)+P1(x26602)+~E(x26601,x26602)
% 218.59/218.73 [2661]~P144(x26611)+P144(x26612)+~E(x26611,x26612)
% 218.59/218.73 [2662]~P104(x26621)+P104(x26622)+~E(x26621,x26622)
% 218.59/218.73 [2663]~P92(x26631)+P92(x26632)+~E(x26631,x26632)
% 218.59/218.73 [2664]~P2(x26641)+P2(x26642)+~E(x26641,x26642)
% 218.59/218.73 [2665]~P131(x26651)+P131(x26652)+~E(x26651,x26652)
% 218.59/218.73 [2666]~P86(x26661)+P86(x26662)+~E(x26661,x26662)
% 218.59/218.73 [2667]~P90(x26671)+P90(x26672)+~E(x26671,x26672)
% 218.59/218.73 [2668]~P82(x26681)+P82(x26682)+~E(x26681,x26682)
% 218.59/218.73 [2669]P53(x26692,x26693)+~E(x26691,x26692)+~P53(x26691,x26693)
% 218.59/218.73 [2670]P53(x26703,x26702)+~E(x26701,x26702)+~P53(x26703,x26701)
% 218.59/218.73 [2671]~P91(x26711)+P91(x26712)+~E(x26711,x26712)
% 218.59/218.73 [2672]P40(x26722,x26723,x26724,x26725)+~E(x26721,x26722)+~P40(x26721,x26723,x26724,x26725)
% 218.59/218.73 [2673]P40(x26733,x26732,x26734,x26735)+~E(x26731,x26732)+~P40(x26733,x26731,x26734,x26735)
% 218.59/218.73 [2674]P40(x26743,x26744,x26742,x26745)+~E(x26741,x26742)+~P40(x26743,x26744,x26741,x26745)
% 218.59/218.73 [2675]P40(x26753,x26754,x26755,x26752)+~E(x26751,x26752)+~P40(x26753,x26754,x26755,x26751)
% 218.59/218.73 [2676]~P76(x26761)+P76(x26762)+~E(x26761,x26762)
% 218.59/218.73 [2677]~P99(x26771)+P99(x26772)+~E(x26771,x26772)
% 218.59/218.73 [2678]~P110(x26781)+P110(x26782)+~E(x26781,x26782)
% 218.59/218.73 [2679]P147(x26792,x26793,x26794)+~E(x26791,x26792)+~P147(x26791,x26793,x26794)
% 218.59/218.73 [2680]P147(x26803,x26802,x26804)+~E(x26801,x26802)+~P147(x26803,x26801,x26804)
% 218.59/218.73 [2681]P147(x26813,x26814,x26812)+~E(x26811,x26812)+~P147(x26813,x26814,x26811)
% 218.59/218.73 [2682]~P5(x26821)+P5(x26822)+~E(x26821,x26822)
% 218.59/218.73 [2683]~P72(x26831)+P72(x26832)+~E(x26831,x26832)
% 218.59/218.73 [2684]~P7(x26841)+P7(x26842)+~E(x26841,x26842)
% 218.59/218.73 [2685]P57(x26852,x26853,x26854)+~E(x26851,x26852)+~P57(x26851,x26853,x26854)
% 218.59/218.73 [2686]P57(x26863,x26862,x26864)+~E(x26861,x26862)+~P57(x26863,x26861,x26864)
% 218.59/218.73 [2687]P57(x26873,x26874,x26872)+~E(x26871,x26872)+~P57(x26873,x26874,x26871)
% 218.59/218.73 [2688]~P66(x26881)+P66(x26882)+~E(x26881,x26882)
% 218.59/218.73 [2689]~P3(x26891)+P3(x26892)+~E(x26891,x26892)
% 218.59/218.73 [2690]~P67(x26901)+P67(x26902)+~E(x26901,x26902)
% 218.59/218.73 [2691]P54(x26912,x26913,x26914)+~E(x26911,x26912)+~P54(x26911,x26913,x26914)
% 218.59/218.73 [2692]P54(x26923,x26922,x26924)+~E(x26921,x26922)+~P54(x26923,x26921,x26924)
% 218.59/218.73 [2693]P54(x26933,x26934,x26932)+~E(x26931,x26932)+~P54(x26933,x26934,x26931)
% 218.59/218.73 [2694]~P68(x26941)+P68(x26942)+~E(x26941,x26942)
% 218.59/218.73 [2695]P36(x26952,x26953)+~E(x26951,x26952)+~P36(x26951,x26953)
% 218.59/218.73 [2696]P36(x26963,x26962)+~E(x26961,x26962)+~P36(x26963,x26961)
% 218.59/218.73 [2697]P37(x26972,x26973)+~E(x26971,x26972)+~P37(x26971,x26973)
% 218.59/218.73 [2698]P37(x26983,x26982)+~E(x26981,x26982)+~P37(x26983,x26981)
% 218.59/218.73 [2699]~P69(x26991)+P69(x26992)+~E(x26991,x26992)
% 218.59/218.73 [2700]P26(x27002,x27003,x27004,x27005)+~E(x27001,x27002)+~P26(x27001,x27003,x27004,x27005)
% 218.59/218.73 [2701]P26(x27013,x27012,x27014,x27015)+~E(x27011,x27012)+~P26(x27013,x27011,x27014,x27015)
% 218.59/218.73 [2702]P26(x27023,x27024,x27022,x27025)+~E(x27021,x27022)+~P26(x27023,x27024,x27021,x27025)
% 218.59/218.73 [2703]P26(x27033,x27034,x27035,x27032)+~E(x27031,x27032)+~P26(x27033,x27034,x27035,x27031)
% 218.59/218.73 [2704]~P109(x27041)+P109(x27042)+~E(x27041,x27042)
% 218.59/218.73 [2705]~P93(x27051)+P93(x27052)+~E(x27051,x27052)
% 218.59/218.73 [2706]P148(x27062,x27063,x27064)+~E(x27061,x27062)+~P148(x27061,x27063,x27064)
% 218.59/218.73 [2707]P148(x27073,x27072,x27074)+~E(x27071,x27072)+~P148(x27073,x27071,x27074)
% 218.59/218.73 [2708]P148(x27083,x27084,x27082)+~E(x27081,x27082)+~P148(x27083,x27084,x27081)
% 218.59/218.73 [2709]~P112(x27091)+P112(x27092)+~E(x27091,x27092)
% 218.59/218.73 [2710]~P121(x27101)+P121(x27102)+~E(x27101,x27102)
% 218.59/218.73 [2711]~P126(x27111)+P126(x27112)+~E(x27111,x27112)
% 218.59/218.73 [2712]~P95(x27121)+P95(x27122)+~E(x27121,x27122)
% 218.59/218.73 [2713]~P73(x27131)+P73(x27132)+~E(x27131,x27132)
% 218.59/218.73 [2714]~P127(x27141)+P127(x27142)+~E(x27141,x27142)
% 218.59/218.73 [2715]~P8(x27151)+P8(x27152)+~E(x27151,x27152)
% 218.59/218.73 [2716]~P74(x27161)+P74(x27162)+~E(x27161,x27162)
% 218.59/218.73 [2717]~P79(x27171)+P79(x27172)+~E(x27171,x27172)
% 218.59/218.73 [2718]~P96(x27181)+P96(x27182)+~E(x27181,x27182)
% 218.59/218.73 [2719]~P39(x27191)+P39(x27192)+~E(x27191,x27192)
% 218.59/218.73 [2720]~P85(x27201)+P85(x27202)+~E(x27201,x27202)
% 218.59/218.73 [2721]P33(x27212,x27213,x27214,x27215,x27216)+~E(x27211,x27212)+~P33(x27211,x27213,x27214,x27215,x27216)
% 218.59/218.73 [2722]P33(x27223,x27222,x27224,x27225,x27226)+~E(x27221,x27222)+~P33(x27223,x27221,x27224,x27225,x27226)
% 218.59/218.73 [2723]P33(x27233,x27234,x27232,x27235,x27236)+~E(x27231,x27232)+~P33(x27233,x27234,x27231,x27235,x27236)
% 218.59/218.73 [2724]P33(x27243,x27244,x27245,x27242,x27246)+~E(x27241,x27242)+~P33(x27243,x27244,x27245,x27241,x27246)
% 218.59/218.73 [2725]P33(x27253,x27254,x27255,x27256,x27252)+~E(x27251,x27252)+~P33(x27253,x27254,x27255,x27256,x27251)
% 218.59/218.73 [2726]~P105(x27261)+P105(x27262)+~E(x27261,x27262)
% 218.59/218.73 [2727]P15(x27272,x27273)+~E(x27271,x27272)+~P15(x27271,x27273)
% 218.59/218.73 [2728]P15(x27283,x27282)+~E(x27281,x27282)+~P15(x27283,x27281)
% 218.59/218.73 [2729]~P80(x27291)+P80(x27292)+~E(x27291,x27292)
% 218.59/218.73 [2730]P49(x27302,x27303,x27304,x27305)+~E(x27301,x27302)+~P49(x27301,x27303,x27304,x27305)
% 218.59/218.73 [2731]P49(x27313,x27312,x27314,x27315)+~E(x27311,x27312)+~P49(x27313,x27311,x27314,x27315)
% 218.59/218.73 [2732]P49(x27323,x27324,x27322,x27325)+~E(x27321,x27322)+~P49(x27323,x27324,x27321,x27325)
% 218.59/218.73 [2733]P49(x27333,x27334,x27335,x27332)+~E(x27331,x27332)+~P49(x27333,x27334,x27335,x27331)
% 218.59/218.73 [2734]~P100(x27341)+P100(x27342)+~E(x27341,x27342)
% 218.59/218.73 [2735]~P117(x27351)+P117(x27352)+~E(x27351,x27352)
% 218.59/218.73 [2736]P16(x27362,x27363,x27364)+~E(x27361,x27362)+~P16(x27361,x27363,x27364)
% 218.59/218.73 [2737]P16(x27373,x27372,x27374)+~E(x27371,x27372)+~P16(x27373,x27371,x27374)
% 218.59/218.73 [2738]P16(x27383,x27384,x27382)+~E(x27381,x27382)+~P16(x27383,x27384,x27381)
% 218.59/218.73 [2739]P60(x27392,x27393,x27394,x27395)+~E(x27391,x27392)+~P60(x27391,x27393,x27394,x27395)
% 218.59/218.73 [2740]P60(x27403,x27402,x27404,x27405)+~E(x27401,x27402)+~P60(x27403,x27401,x27404,x27405)
% 218.59/218.73 [2741]P60(x27413,x27414,x27412,x27415)+~E(x27411,x27412)+~P60(x27413,x27414,x27411,x27415)
% 218.59/218.73 [2742]P60(x27423,x27424,x27425,x27422)+~E(x27421,x27422)+~P60(x27423,x27424,x27425,x27421)
% 218.59/218.73 [2743]~P111(x27431)+P111(x27432)+~E(x27431,x27432)
% 218.59/218.73 [2744]~P145(x27441)+P145(x27442)+~E(x27441,x27442)
% 218.59/218.73 [2745]P24(x27452,x27453,x27454,x27455,x27456,x27457)+~E(x27451,x27452)+~P24(x27451,x27453,x27454,x27455,x27456,x27457)
% 218.59/218.73 [2746]P24(x27463,x27462,x27464,x27465,x27466,x27467)+~E(x27461,x27462)+~P24(x27463,x27461,x27464,x27465,x27466,x27467)
% 218.59/218.73 [2747]P24(x27473,x27474,x27472,x27475,x27476,x27477)+~E(x27471,x27472)+~P24(x27473,x27474,x27471,x27475,x27476,x27477)
% 218.59/218.73 [2748]P24(x27483,x27484,x27485,x27482,x27486,x27487)+~E(x27481,x27482)+~P24(x27483,x27484,x27485,x27481,x27486,x27487)
% 218.59/218.73 [2749]P24(x27493,x27494,x27495,x27496,x27492,x27497)+~E(x27491,x27492)+~P24(x27493,x27494,x27495,x27496,x27491,x27497)
% 218.59/218.73 [2750]P24(x27503,x27504,x27505,x27506,x27507,x27502)+~E(x27501,x27502)+~P24(x27503,x27504,x27505,x27506,x27507,x27501)
% 218.59/218.73 [2751]~P141(x27511)+P141(x27512)+~E(x27511,x27512)
% 218.59/218.73 [2752]P20(x27522,x27523,x27524)+~E(x27521,x27522)+~P20(x27521,x27523,x27524)
% 218.59/218.73 [2753]P20(x27533,x27532,x27534)+~E(x27531,x27532)+~P20(x27533,x27531,x27534)
% 218.59/218.73 [2754]P20(x27543,x27544,x27542)+~E(x27541,x27542)+~P20(x27543,x27544,x27541)
% 218.59/218.73 [2755]P17(x27552,x27553)+~E(x27551,x27552)+~P17(x27551,x27553)
% 218.59/218.73 [2756]P17(x27563,x27562)+~E(x27561,x27562)+~P17(x27563,x27561)
% 218.59/218.73 [2757]P38(x27572,x27573)+~E(x27571,x27572)+~P38(x27571,x27573)
% 218.59/218.73 [2758]P38(x27583,x27582)+~E(x27581,x27582)+~P38(x27583,x27581)
% 218.59/218.73 [2759]~P128(x27591)+P128(x27592)+~E(x27591,x27592)
% 218.59/218.73 [2760]~P94(x27601)+P94(x27602)+~E(x27601,x27602)
% 218.59/218.73 [2761]~P119(x27611)+P119(x27612)+~E(x27611,x27612)
% 218.59/218.73 [2762]~P75(x27621)+P75(x27622)+~E(x27621,x27622)
% 218.59/218.73 [2763]~P70(x27631)+P70(x27632)+~E(x27631,x27632)
% 218.59/218.73 [2764]P30(x27642,x27643,x27644)+~E(x27641,x27642)+~P30(x27641,x27643,x27644)
% 218.59/218.73 [2765]P30(x27653,x27652,x27654)+~E(x27651,x27652)+~P30(x27653,x27651,x27654)
% 218.59/218.73 [2766]P30(x27663,x27664,x27662)+~E(x27661,x27662)+~P30(x27663,x27664,x27661)
% 218.59/218.73 [2767]~P83(x27671)+P83(x27672)+~E(x27671,x27672)
% 218.59/218.73 [2768]~P97(x27681)+P97(x27682)+~E(x27681,x27682)
% 218.59/218.73 [2769]~P4(x27691)+P4(x27692)+~E(x27691,x27692)
% 218.59/218.73 [2770]~P129(x27701)+P129(x27702)+~E(x27701,x27702)
% 218.59/218.73 [2771]P61(x27712,x27713)+~E(x27711,x27712)+~P61(x27711,x27713)
% 218.59/218.73 [2772]P61(x27723,x27722)+~E(x27721,x27722)+~P61(x27723,x27721)
% 218.59/218.73 [2773]P52(x27732,x27733)+~E(x27731,x27732)+~P52(x27731,x27733)
% 218.59/218.73 [2774]P52(x27743,x27742)+~E(x27741,x27742)+~P52(x27743,x27741)
% 218.59/218.73 [2775]~P140(x27751)+P140(x27752)+~E(x27751,x27752)
% 218.59/218.73 [2776]~P130(x27761)+P130(x27762)+~E(x27761,x27762)
% 218.59/218.73 [2777]P32(x27772,x27773,x27774)+~E(x27771,x27772)+~P32(x27771,x27773,x27774)
% 218.59/218.73 [2778]P32(x27783,x27782,x27784)+~E(x27781,x27782)+~P32(x27783,x27781,x27784)
% 218.59/218.73 [2779]P32(x27793,x27794,x27792)+~E(x27791,x27792)+~P32(x27793,x27794,x27791)
% 218.59/218.73 [2780]P10(x27802,x27803,x27804)+~E(x27801,x27802)+~P10(x27801,x27803,x27804)
% 218.59/218.73 [2781]P10(x27813,x27812,x27814)+~E(x27811,x27812)+~P10(x27813,x27811,x27814)
% 218.59/218.73 [2782]P10(x27823,x27824,x27822)+~E(x27821,x27822)+~P10(x27823,x27824,x27821)
% 218.59/218.73 [2783]~P142(x27831)+P142(x27832)+~E(x27831,x27832)
% 218.59/218.73 [2784]P51(x27842,x27843)+~E(x27841,x27842)+~P51(x27841,x27843)
% 218.59/218.73 [2785]P51(x27853,x27852)+~E(x27851,x27852)+~P51(x27853,x27851)
% 218.59/218.73 [2786]P43(x27862,x27863)+~E(x27861,x27862)+~P43(x27861,x27863)
% 218.59/218.73 [2787]P43(x27873,x27872)+~E(x27871,x27872)+~P43(x27873,x27871)
% 218.59/218.73 [2788]~P113(x27881)+P113(x27882)+~E(x27881,x27882)
% 218.59/218.73 [2789]~P133(x27891)+P133(x27892)+~E(x27891,x27892)
% 218.59/218.73 [2790]P59(x27902,x27903)+~E(x27901,x27902)+~P59(x27901,x27903)
% 218.59/218.73 [2791]P59(x27913,x27912)+~E(x27911,x27912)+~P59(x27913,x27911)
% 218.59/218.73 [2792]~P125(x27921)+P125(x27922)+~E(x27921,x27922)
% 218.59/218.73 [2793]P18(x27932,x27933,x27934)+~E(x27931,x27932)+~P18(x27931,x27933,x27934)
% 218.59/218.73 [2794]P18(x27943,x27942,x27944)+~E(x27941,x27942)+~P18(x27943,x27941,x27944)
% 218.59/218.73 [2795]P18(x27953,x27954,x27952)+~E(x27951,x27952)+~P18(x27953,x27954,x27951)
% 218.59/218.73 [2796]~P84(x27961)+P84(x27962)+~E(x27961,x27962)
% 218.59/218.73 [2797]P42(x27972,x27973,x27974,x27975,x27976,x27977)+~E(x27971,x27972)+~P42(x27971,x27973,x27974,x27975,x27976,x27977)
% 218.59/218.73 [2798]P42(x27983,x27982,x27984,x27985,x27986,x27987)+~E(x27981,x27982)+~P42(x27983,x27981,x27984,x27985,x27986,x27987)
% 218.59/218.73 [2799]P42(x27993,x27994,x27992,x27995,x27996,x27997)+~E(x27991,x27992)+~P42(x27993,x27994,x27991,x27995,x27996,x27997)
% 218.59/218.73 [2800]P42(x28003,x28004,x28005,x28002,x28006,x28007)+~E(x28001,x28002)+~P42(x28003,x28004,x28005,x28001,x28006,x28007)
% 218.59/218.73 [2801]P42(x28013,x28014,x28015,x28016,x28012,x28017)+~E(x28011,x28012)+~P42(x28013,x28014,x28015,x28016,x28011,x28017)
% 218.59/218.73 [2802]P42(x28023,x28024,x28025,x28026,x28027,x28022)+~E(x28021,x28022)+~P42(x28023,x28024,x28025,x28026,x28027,x28021)
% 218.59/218.73 [2803]~P139(x28031)+P139(x28032)+~E(x28031,x28032)
% 218.59/218.73 [2804]~P123(x28041)+P123(x28042)+~E(x28041,x28042)
% 218.59/218.73 [2805]~P115(x28051)+P115(x28052)+~E(x28051,x28052)
% 218.59/218.73 [2806]P34(x28062,x28063,x28064)+~E(x28061,x28062)+~P34(x28061,x28063,x28064)
% 218.59/218.73 [2807]P34(x28073,x28072,x28074)+~E(x28071,x28072)+~P34(x28073,x28071,x28074)
% 218.59/218.73 [2808]P34(x28083,x28084,x28082)+~E(x28081,x28082)+~P34(x28083,x28084,x28081)
% 218.59/218.73 [2809]~P81(x28091)+P81(x28092)+~E(x28091,x28092)
% 218.59/218.73 [2810]P56(x28102,x28103,x28104)+~E(x28101,x28102)+~P56(x28101,x28103,x28104)
% 218.59/218.73 [2811]P56(x28113,x28112,x28114)+~E(x28111,x28112)+~P56(x28113,x28111,x28114)
% 218.59/218.73 [2812]P56(x28123,x28124,x28122)+~E(x28121,x28122)+~P56(x28123,x28124,x28121)
% 218.59/218.73 [2813]~P143(x28131)+P143(x28132)+~E(x28131,x28132)
% 218.59/218.73 [2814]~P146(x28141)+P146(x28142)+~E(x28141,x28142)
% 218.59/218.73 [2815]~P62(x28151)+P62(x28152)+~E(x28151,x28152)
% 218.59/218.73 [2816]P12(x28162,x28163,x28164,x28165,x28166)+~E(x28161,x28162)+~P12(x28161,x28163,x28164,x28165,x28166)
% 218.59/218.73 [2817]P12(x28173,x28172,x28174,x28175,x28176)+~E(x28171,x28172)+~P12(x28173,x28171,x28174,x28175,x28176)
% 218.59/218.73 [2818]P12(x28183,x28184,x28182,x28185,x28186)+~E(x28181,x28182)+~P12(x28183,x28184,x28181,x28185,x28186)
% 218.59/218.73 [2819]P12(x28193,x28194,x28195,x28192,x28196)+~E(x28191,x28192)+~P12(x28193,x28194,x28195,x28191,x28196)
% 218.59/218.73 [2820]P12(x28203,x28204,x28205,x28206,x28202)+~E(x28201,x28202)+~P12(x28203,x28204,x28205,x28206,x28201)
% 218.59/218.73 [2821]P21(x28212,x28213,x28214,x28215)+~E(x28211,x28212)+~P21(x28211,x28213,x28214,x28215)
% 218.59/218.73 [2822]P21(x28223,x28222,x28224,x28225)+~E(x28221,x28222)+~P21(x28223,x28221,x28224,x28225)
% 218.59/218.73 [2823]P21(x28233,x28234,x28232,x28235)+~E(x28231,x28232)+~P21(x28233,x28234,x28231,x28235)
% 218.59/218.73 [2824]P21(x28243,x28244,x28245,x28242)+~E(x28241,x28242)+~P21(x28243,x28244,x28245,x28241)
% 218.59/218.73 [2825]~P98(x28251)+P98(x28252)+~E(x28251,x28252)
% 218.59/218.73 [2826]~P64(x28261)+P64(x28262)+~E(x28261,x28262)
% 218.59/218.73 [2827]P22(x28272,x28273,x28274,x28275)+~E(x28271,x28272)+~P22(x28271,x28273,x28274,x28275)
% 218.59/218.73 [2828]P22(x28283,x28282,x28284,x28285)+~E(x28281,x28282)+~P22(x28283,x28281,x28284,x28285)
% 218.59/218.73 [2829]P22(x28293,x28294,x28292,x28295)+~E(x28291,x28292)+~P22(x28293,x28294,x28291,x28295)
% 218.59/218.73 [2830]P22(x28303,x28304,x28305,x28302)+~E(x28301,x28302)+~P22(x28303,x28304,x28305,x28301)
% 218.59/218.73 [2831]~P122(x28311)+P122(x28312)+~E(x28311,x28312)
% 218.59/218.73 [2832]P47(x28322,x28323,x28324)+~E(x28321,x28322)+~P47(x28321,x28323,x28324)
% 218.59/218.73 [2833]P47(x28333,x28332,x28334)+~E(x28331,x28332)+~P47(x28333,x28331,x28334)
% 218.59/218.73 [2834]P47(x28343,x28344,x28342)+~E(x28341,x28342)+~P47(x28343,x28344,x28341)
% 218.59/218.73 [2835]~P63(x28351)+P63(x28352)+~E(x28351,x28352)
% 218.59/218.73 [2836]~P89(x28361)+P89(x28362)+~E(x28361,x28362)
% 218.59/218.73 [2837]~P136(x28371)+P136(x28372)+~E(x28371,x28372)
% 218.59/218.73 [2838]~P132(x28381)+P132(x28382)+~E(x28381,x28382)
% 218.59/218.73 [2839]~P134(x28391)+P134(x28392)+~E(x28391,x28392)
% 218.59/218.73 [2840]~P135(x28401)+P135(x28402)+~E(x28401,x28402)
% 218.59/218.73 [2841]P28(x28412,x28413)+~E(x28411,x28412)+~P28(x28411,x28413)
% 218.59/218.73 [2842]P28(x28423,x28422)+~E(x28421,x28422)+~P28(x28423,x28421)
% 218.59/218.73 [2843]P58(x28432,x28433,x28434,x28435,x28436)+~E(x28431,x28432)+~P58(x28431,x28433,x28434,x28435,x28436)
% 218.59/218.73 [2844]P58(x28443,x28442,x28444,x28445,x28446)+~E(x28441,x28442)+~P58(x28443,x28441,x28444,x28445,x28446)
% 218.59/218.73 [2845]P58(x28453,x28454,x28452,x28455,x28456)+~E(x28451,x28452)+~P58(x28453,x28454,x28451,x28455,x28456)
% 218.59/218.73 [2846]P58(x28463,x28464,x28465,x28462,x28466)+~E(x28461,x28462)+~P58(x28463,x28464,x28465,x28461,x28466)
% 218.59/218.73 [2847]P58(x28473,x28474,x28475,x28476,x28472)+~E(x28471,x28472)+~P58(x28473,x28474,x28475,x28476,x28471)
% 218.59/218.73 [2848]P9(x28482,x28483)+~E(x28481,x28482)+~P9(x28481,x28483)
% 218.59/218.73 [2849]P9(x28493,x28492)+~E(x28491,x28492)+~P9(x28493,x28491)
% 218.59/218.73 [2850]~P138(x28501)+P138(x28502)+~E(x28501,x28502)
% 218.59/218.73 [2851]P48(x28512,x28513,x28514)+~E(x28511,x28512)+~P48(x28511,x28513,x28514)
% 218.59/218.73 [2852]P48(x28523,x28522,x28524)+~E(x28521,x28522)+~P48(x28523,x28521,x28524)
% 218.59/218.73 [2853]P48(x28533,x28534,x28532)+~E(x28531,x28532)+~P48(x28533,x28534,x28531)
% 218.59/218.73 [2854]P14(x28542,x28543,x28544,x28545,x28546,x28547)+~E(x28541,x28542)+~P14(x28541,x28543,x28544,x28545,x28546,x28547)
% 218.59/218.73 [2855]P14(x28553,x28552,x28554,x28555,x28556,x28557)+~E(x28551,x28552)+~P14(x28553,x28551,x28554,x28555,x28556,x28557)
% 218.59/218.73 [2856]P14(x28563,x28564,x28562,x28565,x28566,x28567)+~E(x28561,x28562)+~P14(x28563,x28564,x28561,x28565,x28566,x28567)
% 218.59/218.73 [2857]P14(x28573,x28574,x28575,x28572,x28576,x28577)+~E(x28571,x28572)+~P14(x28573,x28574,x28575,x28571,x28576,x28577)
% 218.59/218.73 [2858]P14(x28583,x28584,x28585,x28586,x28582,x28587)+~E(x28581,x28582)+~P14(x28583,x28584,x28585,x28586,x28581,x28587)
% 218.59/218.73 [2859]P14(x28593,x28594,x28595,x28596,x28597,x28592)+~E(x28591,x28592)+~P14(x28593,x28594,x28595,x28596,x28597,x28591)
% 218.59/218.73 [2860]~P137(x28601)+P137(x28602)+~E(x28601,x28602)
% 218.59/218.73 [2861]P55(x28612,x28613)+~E(x28611,x28612)+~P55(x28611,x28613)
% 218.59/218.73 [2862]P55(x28623,x28622)+~E(x28621,x28622)+~P55(x28623,x28621)
% 218.59/218.73 [2863]~P101(x28631)+P101(x28632)+~E(x28631,x28632)
% 218.59/218.73 [2864]~P114(x28641)+P114(x28642)+~E(x28641,x28642)
% 218.59/218.73 [2865]P50(x28652,x28653,x28654,x28655)+~E(x28651,x28652)+~P50(x28651,x28653,x28654,x28655)
% 218.59/218.73 [2866]P50(x28663,x28662,x28664,x28665)+~E(x28661,x28662)+~P50(x28663,x28661,x28664,x28665)
% 218.59/218.73 [2867]P50(x28673,x28674,x28672,x28675)+~E(x28671,x28672)+~P50(x28673,x28674,x28671,x28675)
% 218.59/218.73 [2868]P50(x28683,x28684,x28685,x28682)+~E(x28681,x28682)+~P50(x28683,x28684,x28685,x28681)
% 218.59/218.73 [2869]~P65(x28691)+P65(x28692)+~E(x28691,x28692)
% 218.59/218.73 [2870]~P116(x28701)+P116(x28702)+~E(x28701,x28702)
% 218.59/218.73 [2871]P23(x28712,x28713,x28714,x28715,x28716)+~E(x28711,x28712)+~P23(x28711,x28713,x28714,x28715,x28716)
% 218.59/218.73 [2872]P23(x28723,x28722,x28724,x28725,x28726)+~E(x28721,x28722)+~P23(x28723,x28721,x28724,x28725,x28726)
% 218.59/218.73 [2873]P23(x28733,x28734,x28732,x28735,x28736)+~E(x28731,x28732)+~P23(x28733,x28734,x28731,x28735,x28736)
% 218.59/218.73 [2874]P23(x28743,x28744,x28745,x28742,x28746)+~E(x28741,x28742)+~P23(x28743,x28744,x28745,x28741,x28746)
% 218.59/218.73 [2875]P23(x28753,x28754,x28755,x28756,x28752)+~E(x28751,x28752)+~P23(x28753,x28754,x28755,x28756,x28751)
% 218.59/218.73 [2876]~P102(x28761)+P102(x28762)+~E(x28761,x28762)
% 218.59/218.73 [2877]~P87(x28771)+P87(x28772)+~E(x28771,x28772)
% 218.59/218.73 [2878]P25(x28782,x28783,x28784,x28785,x28786,x28787)+~E(x28781,x28782)+~P25(x28781,x28783,x28784,x28785,x28786,x28787)
% 218.59/218.73 [2879]P25(x28793,x28792,x28794,x28795,x28796,x28797)+~E(x28791,x28792)+~P25(x28793,x28791,x28794,x28795,x28796,x28797)
% 218.59/218.73 [2880]P25(x28803,x28804,x28802,x28805,x28806,x28807)+~E(x28801,x28802)+~P25(x28803,x28804,x28801,x28805,x28806,x28807)
% 218.59/218.73 [2881]P25(x28813,x28814,x28815,x28812,x28816,x28817)+~E(x28811,x28812)+~P25(x28813,x28814,x28815,x28811,x28816,x28817)
% 218.59/218.73 [2882]P25(x28823,x28824,x28825,x28826,x28822,x28827)+~E(x28821,x28822)+~P25(x28823,x28824,x28825,x28826,x28821,x28827)
% 218.59/218.73 [2883]P25(x28833,x28834,x28835,x28836,x28837,x28832)+~E(x28831,x28832)+~P25(x28833,x28834,x28835,x28836,x28837,x28831)
% 218.59/218.73 [2884]P31(x28842,x28843,x28844,x28845)+~E(x28841,x28842)+~P31(x28841,x28843,x28844,x28845)
% 218.59/218.73 [2885]P31(x28853,x28852,x28854,x28855)+~E(x28851,x28852)+~P31(x28853,x28851,x28854,x28855)
% 218.59/218.73 [2886]P31(x28863,x28864,x28862,x28865)+~E(x28861,x28862)+~P31(x28863,x28864,x28861,x28865)
% 218.59/218.73 [2887]P31(x28873,x28874,x28875,x28872)+~E(x28871,x28872)+~P31(x28873,x28874,x28875,x28871)
% 218.59/218.73 [2888]P149(x28882,x28883)+~E(x28881,x28882)+~P149(x28881,x28883)
% 218.59/218.73 [2889]P149(x28893,x28892)+~E(x28891,x28892)+~P149(x28893,x28891)
% 218.59/218.73 [2890]~P6(x28901)+P6(x28902)+~E(x28901,x28902)
% 218.59/218.73 [2891]~P71(x28911)+P71(x28912)+~E(x28911,x28912)
% 218.59/218.73 [2892]~P103(x28921)+P103(x28922)+~E(x28921,x28922)
% 218.59/218.73 [2893]~P77(x28931)+P77(x28932)+~E(x28931,x28932)
% 218.59/218.73 [2894]~P78(x28941)+P78(x28942)+~E(x28941,x28942)
% 218.59/218.73 [2895]P27(x28952,x28953)+~E(x28951,x28952)+~P27(x28951,x28953)
% 218.59/218.73 [2896]P27(x28963,x28962)+~E(x28961,x28962)+~P27(x28963,x28961)
% 218.59/218.73 [2897]P29(x28972,x28973,x28974)+~E(x28971,x28972)+~P29(x28971,x28973,x28974)
% 218.59/218.73 [2898]P29(x28983,x28982,x28984)+~E(x28981,x28982)+~P29(x28983,x28981,x28984)
% 218.59/218.73 [2899]P29(x28993,x28994,x28992)+~E(x28991,x28992)+~P29(x28993,x28994,x28991)
% 218.59/218.73 [2900]~P106(x29001)+P106(x29002)+~E(x29001,x29002)
% 218.59/218.73 [2901]~P107(x29011)+P107(x29012)+~E(x29011,x29012)
% 218.59/218.73 [2902]~P120(x29021)+P120(x29022)+~E(x29021,x29022)
% 218.59/218.73 [2903]P13(x29032,x29033,x29034,x29035)+~E(x29031,x29032)+~P13(x29031,x29033,x29034,x29035)
% 218.59/218.73 [2904]P13(x29043,x29042,x29044,x29045)+~E(x29041,x29042)+~P13(x29043,x29041,x29044,x29045)
% 218.59/218.73 [2905]P13(x29053,x29054,x29052,x29055)+~E(x29051,x29052)+~P13(x29053,x29054,x29051,x29055)
% 218.59/218.73 [2906]P13(x29063,x29064,x29065,x29062)+~E(x29061,x29062)+~P13(x29063,x29064,x29065,x29061)
% 218.59/218.73 [2907]~P118(x29071)+P118(x29072)+~E(x29071,x29072)
% 218.59/218.73 [2908]~P88(x29081)+P88(x29082)+~E(x29081,x29082)
% 218.59/218.73 [2909]P19(x29092,x29093,x29094)+~E(x29091,x29092)+~P19(x29091,x29093,x29094)
% 218.59/218.73 [2910]P19(x29103,x29102,x29104)+~E(x29101,x29102)+~P19(x29103,x29101,x29104)
% 218.59/218.73 [2911]P19(x29113,x29114,x29112)+~E(x29111,x29112)+~P19(x29113,x29114,x29111)
% 218.59/218.73 [2912]P11(x29122,x29123,x29124)+~E(x29121,x29122)+~P11(x29121,x29123,x29124)
% 218.59/218.73 [2913]P11(x29133,x29132,x29134)+~E(x29131,x29132)+~P11(x29133,x29131,x29134)
% 218.59/218.73 [2914]P11(x29143,x29144,x29142)+~E(x29141,x29142)+~P11(x29143,x29144,x29141)
% 218.59/218.73 [2915]~P35(x29151)+P35(x29152)+~E(x29151,x29152)
% 218.59/218.73 [2916]~P108(x29161)+P108(x29162)+~E(x29161,x29162)
% 218.59/218.73 [2917]P44(x29172,x29173)+~E(x29171,x29172)+~P44(x29171,x29173)
% 218.59/218.73 [2918]P44(x29183,x29182)+~E(x29181,x29182)+~P44(x29183,x29181)
% 218.59/218.73 [2919]P41(x29192,x29193,x29194,x29195)+~E(x29191,x29192)+~P41(x29191,x29193,x29194,x29195)
% 218.59/218.73 [2920]P41(x29203,x29202,x29204,x29205)+~E(x29201,x29202)+~P41(x29203,x29201,x29204,x29205)
% 218.59/218.73 [2921]P41(x29213,x29214,x29212,x29215)+~E(x29211,x29212)+~P41(x29213,x29214,x29211,x29215)
% 218.59/218.73 [2922]P41(x29223,x29224,x29225,x29222)+~E(x29221,x29222)+~P41(x29223,x29224,x29225,x29221)
% 218.59/218.73 [2923]P150(x29232,x29233)+~E(x29231,x29232)+~P150(x29231,x29233)
% 218.59/218.73 [2924]P150(x29243,x29242)+~E(x29241,x29242)+~P150(x29243,x29241)
% 218.59/218.73 [2925]P46(x29252,x29253)+~E(x29251,x29252)+~P46(x29251,x29253)
% 218.59/218.73 [2926]P46(x29263,x29262)+~E(x29261,x29262)+~P46(x29263,x29261)
% 218.59/218.73 [2927]~P45(x29271)+P45(x29272)+~E(x29271,x29272)
% 218.59/218.73 [2928]~P124(x29281)+P124(x29282)+~E(x29281,x29282)
% 218.59/218.73
% 218.59/218.73 %-------------------------------------------
% 218.71/218.81 cnf(10308,plain,
% 218.71/218.81 (~E(f822(a107,x103081),x103081)),
% 218.71/218.81 inference(rename_variables,[],[4464])).
% 218.71/218.81 cnf(10315,plain,
% 218.71/218.81 (~E(f822(a107,x103151),x103151)),
% 218.71/218.81 inference(rename_variables,[],[4464])).
% 218.71/218.81 cnf(10328,plain,
% 218.71/218.81 (~E(f822(a107,x103281),x103281)),
% 218.71/218.81 inference(rename_variables,[],[4464])).
% 218.71/218.81 cnf(10333,plain,
% 218.71/218.81 (~P144(f822(f822(f164(x103331),f108(x103331)),x103332))),
% 218.71/218.81 inference(rename_variables,[],[4524])).
% 218.71/218.81 cnf(10336,plain,
% 218.71/218.81 (~P144(f822(f822(f164(x103361),f108(x103361)),x103362))),
% 218.71/218.81 inference(rename_variables,[],[4524])).
% 218.71/218.81 cnf(10339,plain,
% 218.71/218.81 (~E(f822(a107,x103391),x103391)),
% 218.71/218.81 inference(rename_variables,[],[4464])).
% 218.71/218.81 cnf(10342,plain,
% 218.71/218.81 (~E(f822(a107,x103421),x103421)),
% 218.71/218.81 inference(rename_variables,[],[4464])).
% 218.71/218.81 cnf(10345,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),x103451),f2(a885)))),
% 218.71/218.81 inference(rename_variables,[],[4519])).
% 218.71/218.81 cnf(10348,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),x103481),f2(a885)))),
% 218.71/218.81 inference(rename_variables,[],[4519])).
% 218.71/218.81 cnf(10361,plain,
% 218.71/218.81 (~P144(f822(f182(f892(x103611,a882)),x103612))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,3122,3163,3224,3170,3309,4519,10345,4516,4478,4524,10333,4522,3302,4511,4541,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026])).
% 218.71/218.81 cnf(10365,plain,
% 218.71/218.81 (~P144(f822(f822(f226(a885),f822(a107,x103651)),x103651))),
% 218.71/218.81 inference(rename_variables,[],[4525])).
% 218.71/218.81 cnf(10368,plain,
% 218.71/218.81 (~E(f822(f822(f143(x103681),x103682),x103683),x103683)),
% 218.71/218.81 inference(rename_variables,[],[4483])).
% 218.71/218.81 cnf(10374,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),x103741),f2(a885)))),
% 218.71/218.81 inference(rename_variables,[],[4519])).
% 218.71/218.81 cnf(10377,plain,
% 218.71/218.81 (E(f822(f273(x103771,x103771),f254(x103771,x103772)),x103772)),
% 218.71/218.81 inference(rename_variables,[],[3286])).
% 218.71/218.81 cnf(10380,plain,
% 218.71/218.81 (E(f822(f273(x103801,x103801),f254(x103801,x103802)),x103802)),
% 218.71/218.81 inference(rename_variables,[],[3286])).
% 218.71/218.81 cnf(10385,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),x103851),x103851))),
% 218.71/218.81 inference(rename_variables,[],[4515])).
% 218.71/218.81 cnf(10387,plain,
% 218.71/218.81 (~P144(f822(a187,a82))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,3122,3286,10377,3163,3224,3186,3170,4483,3309,4519,10345,10348,4516,4478,4524,10333,4515,4525,4522,3302,4511,4541,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105])).
% 218.71/218.81 cnf(10390,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),f822(f822(f79(a885),x103901),x103902)),x103902))),
% 218.71/218.81 inference(rename_variables,[],[4539])).
% 218.71/218.81 cnf(10393,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),f822(f822(f79(a885),x103931),x103932)),x103932))),
% 218.71/218.81 inference(rename_variables,[],[4539])).
% 218.71/218.81 cnf(10400,plain,
% 218.71/218.81 (~E(x104001,f822(a107,x104001))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,3122,3286,10377,3163,3224,3186,3170,4483,3391,3309,4519,10345,10348,4516,4478,4524,10333,4515,4525,4132,4522,3302,4511,4541,4539,10390,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163])).
% 218.71/218.81 cnf(10414,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),x104141),x104141))),
% 218.71/218.81 inference(rename_variables,[],[4515])).
% 218.71/218.81 cnf(10417,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),f44(a885,x104171,x104172)),x104171))),
% 218.71/218.81 inference(rename_variables,[],[3777])).
% 218.71/218.81 cnf(10438,plain,
% 218.71/218.81 (E(f822(f34(a885),f822(f271(a885),x104381)),x104381)),
% 218.71/218.81 inference(rename_variables,[],[3221])).
% 218.71/218.81 cnf(10446,plain,
% 218.71/218.81 (~E(f822(a107,x104461),x104461)),
% 218.71/218.81 inference(rename_variables,[],[4464])).
% 218.71/218.81 cnf(10449,plain,
% 218.71/218.81 (~E(f822(a107,x104491),x104491)),
% 218.71/218.81 inference(rename_variables,[],[4464])).
% 218.71/218.81 cnf(10452,plain,
% 218.71/218.81 (~E(f822(a107,x104521),x104521)),
% 218.71/218.81 inference(rename_variables,[],[4464])).
% 218.71/218.81 cnf(10454,plain,
% 218.71/218.81 (P144(f822(a187,a92))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,3122,3286,10377,3163,3224,3186,3170,3256,4483,3221,4544,3241,3391,3309,4519,10345,10348,3903,3328,4516,4478,4524,10333,4515,10385,10414,3416,3838,3777,4525,10365,4132,4522,4507,3302,4511,4541,4539,10390,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310])).
% 218.71/218.81 cnf(10457,plain,
% 218.71/218.81 (P144(f822(f822(f227(a885),x104571),f822(a107,x104571)))),
% 218.71/218.81 inference(rename_variables,[],[3391])).
% 218.71/218.81 cnf(10460,plain,
% 218.71/218.81 (P144(f822(f822(f227(a885),x104601),f822(a107,x104601)))),
% 218.71/218.81 inference(rename_variables,[],[3391])).
% 218.71/218.81 cnf(10469,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x104691),x104691))),
% 218.71/218.81 inference(rename_variables,[],[3325])).
% 218.71/218.81 cnf(10476,plain,
% 218.71/218.81 (E(f822(f273(x104761,x104761),f254(x104761,x104762)),x104762)),
% 218.71/218.81 inference(rename_variables,[],[3286])).
% 218.71/218.81 cnf(10479,plain,
% 218.71/218.81 (E(f822(f273(x104791,x104791),f254(x104791,x104792)),x104792)),
% 218.71/218.81 inference(rename_variables,[],[3286])).
% 218.71/218.81 cnf(10502,plain,
% 218.71/218.81 (~P144(f822(f822(f164(x105021),f108(x105021)),x105022))),
% 218.71/218.81 inference(rename_variables,[],[4524])).
% 218.71/218.81 cnf(10508,plain,
% 218.71/218.81 (E(f822(f822(f79(a885),x105081),f573(x105081,x105081)),x105081)),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,3122,3286,10377,10380,10476,3163,3224,3186,3170,3256,4483,3221,4091,4544,3241,3391,10457,10460,3309,4519,10345,10348,3759,3903,3352,3354,3328,4516,4478,4524,10333,10336,4041,3325,10469,4515,10385,10414,3416,3838,3777,10417,4525,10365,4132,4522,4507,3302,4511,4541,3800,4539,10390,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457])).
% 218.71/218.81 cnf(10531,plain,
% 218.71/218.81 (~E(f822(f822(f143(x105311),x105312),x105313),x105313)),
% 218.71/218.81 inference(rename_variables,[],[4483])).
% 218.71/218.81 cnf(10534,plain,
% 218.71/218.81 (~E(f822(a107,x105341),f2(a885))),
% 218.71/218.81 inference(rename_variables,[],[4474])).
% 218.71/218.81 cnf(10547,plain,
% 218.71/218.81 (P144(f822(f822(f226(a1),x105471),x105471))),
% 218.71/218.81 inference(rename_variables,[],[3326])).
% 218.71/218.81 cnf(10550,plain,
% 218.71/218.81 (~E(f822(a107,x105501),x105501)),
% 218.71/218.81 inference(rename_variables,[],[4464])).
% 218.71/218.81 cnf(10553,plain,
% 218.71/218.81 (~P144(f822(f822(f182(f892(x105531,f892(x105532,a882))),x105533),x105534))),
% 218.71/218.81 inference(rename_variables,[],[4542])).
% 218.71/218.81 cnf(10560,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x105601),x105601))),
% 218.71/218.81 inference(rename_variables,[],[3325])).
% 218.71/218.81 cnf(10573,plain,
% 218.71/218.81 (P144(f822(f822(f227(a885),x105731),f822(a107,x105731)))),
% 218.71/218.81 inference(rename_variables,[],[3391])).
% 218.71/218.81 cnf(10594,plain,
% 218.71/218.81 (~P144(f822(f822(f164(x105941),f108(x105941)),x105942))),
% 218.71/218.81 inference(rename_variables,[],[4524])).
% 218.71/218.81 cnf(10613,plain,
% 218.71/218.81 (~P144(f822(f822(f164(x106131),f108(x106131)),x106132))),
% 218.71/218.81 inference(rename_variables,[],[4524])).
% 218.71/218.81 cnf(10620,plain,
% 218.71/218.81 (~P144(f822(f822(f164(x106201),f108(x106201)),x106202))),
% 218.71/218.81 inference(rename_variables,[],[4524])).
% 218.71/218.81 cnf(10630,plain,
% 218.71/218.81 (E(f822(f822(f235(a885),f822(f99(a885),a92)),x106301),f822(f822(f235(a885),f2(a885)),x106301))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,4474,3122,3286,10377,10380,10476,3163,3224,3186,3170,3791,3256,4483,10368,3221,4091,4544,3241,3684,3391,10457,10460,10573,3309,4519,10345,10348,10374,4532,3759,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,4041,3325,10469,10560,3326,4515,10385,10414,3416,3838,3777,10417,4525,10365,4132,4522,4507,4510,3302,3303,4511,4541,4542,3800,4539,10390,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840])).
% 218.71/218.81 cnf(10633,plain,
% 218.71/218.81 (~E(f822(a107,x106331),f2(a885))),
% 218.71/218.81 inference(rename_variables,[],[4474])).
% 218.71/218.81 cnf(10642,plain,
% 218.71/218.81 (~P144(f822(f822(f164(x106421),f108(x106421)),x106422))),
% 218.71/218.81 inference(rename_variables,[],[4524])).
% 218.71/218.81 cnf(10647,plain,
% 218.71/218.81 (P144(f822(f822(f227(a885),x106471),f822(a107,x106471)))),
% 218.71/218.81 inference(rename_variables,[],[3391])).
% 218.71/218.81 cnf(10650,plain,
% 218.71/218.81 (~P144(f822(f822(f164(x106501),f108(x106501)),x106502))),
% 218.71/218.81 inference(rename_variables,[],[4524])).
% 218.71/218.81 cnf(10653,plain,
% 218.71/218.81 (~P144(f822(f822(f164(x106531),f108(x106531)),x106532))),
% 218.71/218.81 inference(rename_variables,[],[4524])).
% 218.71/218.81 cnf(10656,plain,
% 218.71/218.81 (~P144(f822(f61(x106561,x106562,f182(f892(x106561,a882))),x106563))),
% 218.71/218.81 inference(rename_variables,[],[4538])).
% 218.71/218.81 cnf(10659,plain,
% 218.71/218.81 (~P144(f822(f61(x106591,x106592,f182(f892(x106591,a882))),x106593))),
% 218.71/218.81 inference(rename_variables,[],[4538])).
% 218.71/218.81 cnf(10662,plain,
% 218.71/218.81 (~P144(f822(f822(f182(f892(x106621,f892(x106622,a882))),x106623),x106624))),
% 218.71/218.81 inference(rename_variables,[],[4542])).
% 218.71/218.81 cnf(10667,plain,
% 218.71/218.81 (~P144(f822(f822(f164(x106671),f108(x106671)),x106672))),
% 218.71/218.81 inference(rename_variables,[],[4524])).
% 218.71/218.81 cnf(10678,plain,
% 218.71/218.81 (~E(f822(a107,x106781),x106781)),
% 218.71/218.81 inference(rename_variables,[],[4464])).
% 218.71/218.81 cnf(10692,plain,
% 218.71/218.81 (P144(f822(f822(f227(a94),f822(a5,x106921)),f822(a5,f822(a107,x106921))))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,4474,10534,3122,3286,10377,10380,10476,3163,3224,3186,3170,3791,3256,4483,10368,3221,4091,4544,3241,3684,3391,10457,10460,10573,10647,3772,3309,4519,10345,10348,10374,4532,3759,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,4041,3325,10469,10560,3326,4515,10385,10414,3416,3838,3777,10417,4525,10365,4132,4522,4507,4510,3302,3303,4511,4538,10656,4541,4542,10553,3800,4539,10390,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105])).
% 218.71/218.81 cnf(10703,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x107031),x107031))),
% 218.71/218.81 inference(rename_variables,[],[3325])).
% 218.71/218.81 cnf(10706,plain,
% 218.71/218.81 (P144(f822(f822(f227(a885),x107061),f822(a107,f822(f822(f79(a885),x107062),x107061))))),
% 218.71/218.81 inference(rename_variables,[],[3770])).
% 218.71/218.81 cnf(10709,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x107091),f822(f822(f80(a885),x107091),x107091)))),
% 218.71/218.81 inference(rename_variables,[],[3586])).
% 218.71/218.81 cnf(10712,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x107121),f822(f822(f80(a885),x107121),x107121)))),
% 218.71/218.81 inference(rename_variables,[],[3586])).
% 218.71/218.81 cnf(10717,plain,
% 218.71/218.81 (P144(f822(f822(f227(a885),x107171),f822(a107,x107171)))),
% 218.71/218.81 inference(rename_variables,[],[3391])).
% 218.71/218.81 cnf(10720,plain,
% 218.71/218.81 (P144(f822(f822(f227(a885),x107201),f822(a107,x107201)))),
% 218.71/218.81 inference(rename_variables,[],[3391])).
% 218.71/218.81 cnf(10723,plain,
% 218.71/218.81 (P144(f822(f822(f318(x107231),x107232),f233(f892(x107231,a882))))),
% 218.71/218.81 inference(rename_variables,[],[3476])).
% 218.71/218.81 cnf(10742,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),f822(f822(f79(a885),x107421),x107422)),x107422))),
% 218.71/218.81 inference(rename_variables,[],[4539])).
% 218.71/218.81 cnf(10745,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),f822(f822(f79(a885),x107451),x107452)),x107452))),
% 218.71/218.81 inference(rename_variables,[],[4539])).
% 218.71/218.81 cnf(10748,plain,
% 218.71/218.81 (~P144(f822(f822(f226(a885),f822(a107,x107481)),x107481))),
% 218.71/218.81 inference(rename_variables,[],[4525])).
% 218.71/218.81 cnf(10751,plain,
% 218.71/218.81 (~P144(f822(f822(f226(a885),f822(a107,x107511)),x107511))),
% 218.71/218.81 inference(rename_variables,[],[4525])).
% 218.71/218.81 cnf(10754,plain,
% 218.71/218.81 (P144(f822(f233(f892(x107541,a882)),x107542))),
% 218.71/218.81 inference(rename_variables,[],[3384])).
% 218.71/218.81 cnf(10757,plain,
% 218.71/218.81 (E(f822(f34(a885),f822(f271(a885),x107571)),x107571)),
% 218.71/218.81 inference(rename_variables,[],[3221])).
% 218.71/218.81 cnf(10760,plain,
% 218.71/218.81 (P144(f822(f822(f227(a885),x107601),f822(a107,x107601)))),
% 218.71/218.81 inference(rename_variables,[],[3391])).
% 218.71/218.81 cnf(10767,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x107671),x107671))),
% 218.71/218.81 inference(rename_variables,[],[3325])).
% 218.71/218.81 cnf(10772,plain,
% 218.71/218.81 (P144(f822(f822(f226(a1),x107721),x107721))),
% 218.71/218.81 inference(rename_variables,[],[3326])).
% 218.71/218.81 cnf(10781,plain,
% 218.71/218.81 (E(f822(f273(x107811,x107811),f254(x107811,x107812)),x107812)),
% 218.71/218.81 inference(rename_variables,[],[3286])).
% 218.71/218.81 cnf(10784,plain,
% 218.71/218.81 (P144(f822(f233(f892(x107841,a882)),x107842))),
% 218.71/218.81 inference(rename_variables,[],[3384])).
% 218.71/218.81 cnf(10787,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),f2(a885)),x107871))),
% 218.71/218.81 inference(rename_variables,[],[3346])).
% 218.71/218.81 cnf(10790,plain,
% 218.71/218.81 (P144(f822(f822(f226(f892(x107901,a882)),f182(f892(x107901,a882))),x107902))),
% 218.71/218.81 inference(rename_variables,[],[3769])).
% 218.71/218.81 cnf(10793,plain,
% 218.71/218.81 (P144(f822(f233(f892(x107931,a882)),x107932))),
% 218.71/218.81 inference(rename_variables,[],[3384])).
% 218.71/218.81 cnf(10796,plain,
% 218.71/218.81 (P144(f822(f233(f892(x107961,a882)),x107962))),
% 218.71/218.81 inference(rename_variables,[],[3384])).
% 218.71/218.81 cnf(10798,plain,
% 218.71/218.81 (~P144(f822(f822(f226(a885),f822(f822(f80(a885),f822(a107,x107981)),f822(a107,x107981))),x107981))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,4474,10534,3122,3286,10377,10380,10476,10479,3163,3224,3186,3170,3791,3256,4483,10368,3221,10438,4091,4544,3241,3684,3621,3391,10457,10460,10573,10647,10717,10720,3772,3309,4519,10345,10348,10374,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,4041,3325,10469,10560,10703,3326,10547,4515,10385,10414,3476,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,3346,4132,4522,4507,4510,3302,3303,4511,4538,10656,4543,3769,3586,10709,10712,4541,4542,10553,3800,4539,10390,10393,10742,3770,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358])).
% 218.71/218.81 cnf(10799,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x107991),f822(f822(f80(a885),x107991),x107991)))),
% 218.71/218.81 inference(rename_variables,[],[3586])).
% 218.71/218.81 cnf(10810,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a94),f822(a5,x108101)),f822(a5,f2(a885))))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,4474,10534,3122,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3256,4483,10368,3221,10438,4091,4544,3241,3684,3621,3391,10457,10460,10573,10647,10717,10720,10760,3772,3309,4519,10345,10348,10374,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,4041,3325,10469,10560,10703,3326,10547,4515,10385,10414,3476,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,3346,4132,4522,4507,4510,3302,3303,4511,4538,10656,4543,3769,3586,10709,10712,4541,4542,10553,3800,4539,10390,10393,10742,3770,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407])).
% 218.71/218.81 cnf(10816,plain,
% 218.71/218.81 (~P144(f822(f822(f226(a885),f822(a107,f822(a107,f822(f822(f79(a885),x108161),x108162)))),f822(a107,x108162)))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,4474,10534,3122,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3256,4483,10368,3221,10438,4091,4544,3241,3684,3621,3391,10457,10460,10573,10647,10717,10720,10760,3772,3309,4519,10345,10348,10374,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,4041,3325,10469,10560,10703,3326,10547,4515,10385,10414,3476,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,3346,4132,4522,4507,4510,3302,3303,4509,4511,4538,10656,4543,3769,3586,10709,10712,4541,4542,10553,3800,4539,10390,10393,10742,3770,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410])).
% 218.71/218.81 cnf(10839,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x108391),x108391))),
% 218.71/218.81 inference(rename_variables,[],[3325])).
% 218.71/218.81 cnf(10850,plain,
% 218.71/218.81 (~P144(f822(f822(f164(x108501),f108(x108501)),x108502))),
% 218.71/218.81 inference(rename_variables,[],[4524])).
% 218.71/218.81 cnf(10857,plain,
% 218.71/218.81 (P144(f822(f822(f227(a885),x108571),f822(a107,x108571)))),
% 218.71/218.81 inference(rename_variables,[],[3391])).
% 218.71/218.81 cnf(10860,plain,
% 218.71/218.81 (E(f822(f822(f79(a885),x108601),x108602),f822(f822(f79(a885),x108602),x108601))),
% 218.71/218.81 inference(rename_variables,[],[3311])).
% 218.71/218.81 cnf(10862,plain,
% 218.71/218.81 (P144(f822(f822(f227(a1),f822(f822(f3(a1),x108621),f77(a1))),x108621))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,4474,10534,3122,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3256,4483,10368,3311,3221,10438,4091,3954,4544,3241,3684,3621,3391,10457,10460,10573,10647,10717,10720,10760,3772,3309,4519,10345,10348,10374,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,4041,3325,10469,10560,10703,10767,10839,3326,10547,10772,4515,10385,10414,3476,4528,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,3346,4132,4522,4507,4510,3302,3303,4509,4511,4538,10656,4543,3769,3586,10709,10712,4541,4542,10553,3800,4539,10390,10393,10742,3770,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685])).
% 218.71/218.81 cnf(10863,plain,
% 218.71/218.81 (P144(f822(f822(f226(a1),x108631),x108631))),
% 218.71/218.81 inference(rename_variables,[],[3326])).
% 218.71/218.81 cnf(10868,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),x108681),f2(a885)))),
% 218.71/218.81 inference(rename_variables,[],[4519])).
% 218.71/218.81 cnf(10883,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),x108831),f2(a885)))),
% 218.71/218.81 inference(rename_variables,[],[4519])).
% 218.71/218.81 cnf(10886,plain,
% 218.71/218.81 (~P144(f822(f822(f227(f892(x108861,a882)),x108862),f182(f892(x108861,a882))))),
% 218.71/218.81 inference(rename_variables,[],[4536])).
% 218.71/218.81 cnf(10889,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x108891),x108891))),
% 218.71/218.81 inference(rename_variables,[],[3325])).
% 218.71/218.81 cnf(10892,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x108921),x108921))),
% 218.71/218.81 inference(rename_variables,[],[3325])).
% 218.71/218.81 cnf(10906,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),x109061),f822(f822(f3(a885),x109061),x109062)))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,4474,10534,3122,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3256,4483,10368,3311,3221,10438,4091,3954,4544,3241,3684,3621,3391,10457,10460,10573,10647,10717,10720,10760,3772,3309,4519,10345,10348,10374,10868,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,4053,4041,4536,3325,10469,10560,10703,10767,10839,10889,10892,3326,10547,10772,3327,4515,10385,10414,3476,4528,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,3346,4132,4522,4507,4510,3302,3303,4509,4511,4538,10656,4543,3769,3586,10709,10712,4541,4542,10553,3800,4539,10390,10393,10742,3770,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855])).
% 218.71/218.81 cnf(10907,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),x109071),x109071))),
% 218.71/218.81 inference(rename_variables,[],[4515])).
% 218.71/218.81 cnf(10916,plain,
% 218.71/218.81 (~P144(f822(f822(f318(x109161),x109162),f182(f892(x109161,a882))))),
% 218.71/218.81 inference(rename_variables,[],[4528])).
% 218.71/218.81 cnf(10923,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x109231),x109231))),
% 218.71/218.81 inference(rename_variables,[],[3325])).
% 218.71/218.81 cnf(10926,plain,
% 218.71/218.81 (P144(f822(f822(f276(a885),x109261),x109261))),
% 218.71/218.81 inference(rename_variables,[],[3327])).
% 218.71/218.81 cnf(10929,plain,
% 218.71/218.81 (P144(f822(f822(f226(f892(x109291,a882)),f822(f299(x109292,x109291,x109293),f822(f300(x109292,x109291,x109293),x109294))),x109294))),
% 218.71/218.81 inference(rename_variables,[],[4187])).
% 218.71/218.81 cnf(10936,plain,
% 218.71/218.81 (E(f822(f299(x109361,x109361,f7(x109361)),x109362),x109362)),
% 218.71/218.81 inference(rename_variables,[],[3380])).
% 218.71/218.81 cnf(10939,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),f2(a885)),x109391))),
% 218.71/218.81 inference(rename_variables,[],[3346])).
% 218.71/218.81 cnf(10942,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x109421),x109421))),
% 218.71/218.81 inference(rename_variables,[],[3325])).
% 218.71/218.81 cnf(10945,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),x109451),x109451))),
% 218.71/218.81 inference(rename_variables,[],[4515])).
% 218.71/218.81 cnf(10954,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),x109541),x109541))),
% 218.71/218.81 inference(rename_variables,[],[4515])).
% 218.71/218.81 cnf(10965,plain,
% 218.71/218.81 (P144(f822(f822(f227(a885),x109651),f822(a107,f822(f822(f79(a885),x109652),x109651))))),
% 218.71/218.81 inference(rename_variables,[],[3770])).
% 218.71/218.81 cnf(10968,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x109681),f822(f822(f80(a885),x109681),x109681)))),
% 218.71/218.81 inference(rename_variables,[],[3586])).
% 218.71/218.81 cnf(10978,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x109781),x109781))),
% 218.71/218.81 inference(rename_variables,[],[3325])).
% 218.71/218.81 cnf(10981,plain,
% 218.71/218.81 (P144(f822(f822(f226(a1),x109811),x109811))),
% 218.71/218.81 inference(rename_variables,[],[3326])).
% 218.71/218.81 cnf(10984,plain,
% 218.71/218.81 (~E(f822(a107,x109841),x109841)),
% 218.71/218.81 inference(rename_variables,[],[4464])).
% 218.71/218.81 cnf(10988,plain,
% 218.71/218.81 (P144(f822(f822(f276(a1),x109881),f822(f95(a1),f822(a100,f822(f75(a1),x109881)))))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,4474,10534,3122,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3380,3256,4483,10368,3311,3221,10438,4091,3954,4544,3241,3518,3684,3621,3391,10457,10460,10573,10647,10717,10720,10760,10857,3772,3309,4519,10345,10348,10374,10868,10883,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,4053,4041,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,4528,10916,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,3346,10787,4132,4522,4507,4510,3302,3303,4509,4511,4538,10656,4543,3769,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528])).
% 218.71/218.81 cnf(10989,plain,
% 218.71/218.81 (P144(f822(f822(f276(a885),x109891),x109891))),
% 218.71/218.81 inference(rename_variables,[],[3327])).
% 218.71/218.81 cnf(10991,plain,
% 218.71/218.81 (P144(f822(f822(f318(f891(x109911,x109911)),x109912),f296(x109911,f233(f892(f891(x109911,x109911),a882)))))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,4474,10534,3122,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3380,3256,4483,10368,3311,3221,10438,4091,3954,4544,3241,3518,3684,3621,3391,10457,10460,10573,10647,10717,10720,10760,10857,3772,3309,4519,10345,10348,10374,10868,10883,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,4053,4041,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,4528,10916,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,3346,10787,4132,4522,4507,4510,3302,3303,4509,4511,4538,10656,4543,3769,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540])).
% 218.71/218.81 cnf(10992,plain,
% 218.71/218.81 (P144(f822(f822(f318(x109921),x109922),f233(f892(x109921,a882))))),
% 218.71/218.81 inference(rename_variables,[],[3476])).
% 218.71/218.81 cnf(10997,plain,
% 218.71/218.81 (~P144(f822(f822(f227(a885),x109971),f2(a885)))),
% 218.71/218.81 inference(rename_variables,[],[4519])).
% 218.71/218.81 cnf(10999,plain,
% 218.71/218.81 (P144(f822(f822(f226(f892(x109991,a882)),x109992),f36(f892(x109991,a882),f822(f297(x109991),x109992))))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,4474,10534,3122,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3380,3256,4483,10368,3311,3221,10438,4091,3954,4544,3241,3518,3684,3621,3391,10457,10460,10573,10647,10717,10720,10760,10857,3772,3309,4519,10345,10348,10374,10868,10883,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,4053,3963,3685,4041,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,4528,10916,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,3346,10787,4132,4522,4507,4510,3302,3303,4509,4511,4538,10656,4543,3769,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595])).
% 218.71/218.81 cnf(11012,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),f2(a885)),x110121))),
% 218.71/218.81 inference(rename_variables,[],[3346])).
% 218.71/218.81 cnf(11019,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x110191),x110191))),
% 218.71/218.81 inference(rename_variables,[],[3325])).
% 218.71/218.81 cnf(11028,plain,
% 218.71/218.81 (~P144(f822(f822(f318(x110281),x110282),f182(f892(x110281,a882))))),
% 218.71/218.81 inference(rename_variables,[],[4528])).
% 218.71/218.81 cnf(11030,plain,
% 218.71/218.81 (P144(f822(f822(f226(f892(x110301,a882)),f37(f892(x110301,a882),f822(f297(x110301),x110302))),x110302))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,4474,10534,3122,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3380,3256,4483,10368,3311,3221,10438,4091,3954,4544,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,3772,3309,4519,10345,10348,10374,10868,10883,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,4053,3963,3685,4041,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,4528,10916,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,3769,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871])).
% 218.71/218.81 cnf(11032,plain,
% 218.71/218.81 (E(f822(f822(f97(f892(x110321,a882)),f822(f822(f97(f892(x110321,a882)),x110322),f822(f78(f892(x110321,a882)),x110323))),x110323),f182(f892(x110321,a882)))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,4474,10534,3122,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3380,3256,4483,10368,3311,3221,10438,4091,3954,4544,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,3772,3309,4519,10345,10348,10374,10868,10883,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,4053,3963,3685,4041,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,4528,10916,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,3769,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873])).
% 218.71/218.81 cnf(11035,plain,
% 218.71/218.81 (P144(f822(f822(f318(f887(x110351)),x110352),f153(x110351,f233(f892(x110351,a882)))))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,4474,10534,3122,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3380,3256,4483,10368,3311,3221,10438,4091,3954,4544,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,3772,3309,4519,10345,10348,10374,10868,10883,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,4053,3963,3685,4041,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,4528,10916,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,3769,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883])).
% 218.71/218.81 cnf(11036,plain,
% 218.71/218.81 (P144(f822(f822(f318(x110361),x110362),f233(f892(x110361,a882))))),
% 218.71/218.81 inference(rename_variables,[],[3476])).
% 218.71/218.81 cnf(11039,plain,
% 218.71/218.81 (~P144(f822(f822(f318(f891(f887(x110391),f887(x110391))),f822(f822(f243(f887(x110391),f887(x110391)),x110392),f108(x110391))),f137(x110391,x110393)))),
% 218.71/218.81 inference(rename_variables,[],[4544])).
% 218.71/218.81 cnf(11046,plain,
% 218.71/218.81 (P144(f822(f822(f276(a885),f822(a107,f2(a885))),x110461))),
% 218.71/218.81 inference(rename_variables,[],[3477])).
% 218.71/218.81 cnf(11048,plain,
% 218.71/218.81 (~P144(f822(f822(f318(f891(x110481,x110481)),x110482),f254(x110481,f182(f892(x110481,a882)))))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,4474,10534,3122,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3380,3256,4483,10368,3311,3221,10438,4091,3954,4544,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,3772,3309,4519,10345,10348,10374,10868,10883,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,4053,3963,3685,4041,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,4528,10916,11028,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,3769,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022])).
% 218.71/218.81 cnf(11049,plain,
% 218.71/218.81 (~P144(f822(f822(f318(x110491),x110492),f182(f892(x110491,a882))))),
% 218.71/218.81 inference(rename_variables,[],[4528])).
% 218.71/218.81 cnf(11051,plain,
% 218.71/218.81 (~P144(f822(f822(f318(x110511),x110512),f822(f300(x110511,x110513,x110514),f182(f892(x110513,a882)))))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,4474,10534,3122,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3380,3256,4483,10368,3311,3221,10438,4091,3954,4544,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,3772,3309,4519,10345,10348,10374,10868,10883,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,4053,3963,3685,4041,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,4528,10916,11028,11049,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,3769,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053])).
% 218.71/218.81 cnf(11052,plain,
% 218.71/218.81 (~P144(f822(f822(f318(x110521),x110522),f182(f892(x110521,a882))))),
% 218.71/218.81 inference(rename_variables,[],[4528])).
% 218.71/218.81 cnf(11055,plain,
% 218.71/218.81 (P144(f822(f822(f226(f892(x110551,a882)),x110552),f822(f822(f298(x110551),x110553),x110552)))),
% 218.71/218.81 inference(rename_variables,[],[3767])).
% 218.71/218.81 cnf(11058,plain,
% 218.71/218.81 (P144(f822(f822(f226(a885),x110581),x110581))),
% 218.71/218.81 inference(rename_variables,[],[3325])).
% 218.71/218.81 cnf(11061,plain,
% 218.71/218.81 (P144(f822(f822(f226(f892(x110611,a882)),x110612),f822(f822(f298(x110611),x110613),x110612)))),
% 218.71/218.81 inference(rename_variables,[],[3767])).
% 218.71/218.81 cnf(11063,plain,
% 218.71/218.81 (P33(x110631,x110632,x110633,f109(x110631,f108(x110631)),f108(x110632))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,4474,10534,3122,3173,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3380,3256,4483,10368,3311,3221,10438,4091,3954,4544,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,3772,3309,4519,10345,10348,10374,10868,10883,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,4053,3963,3685,4041,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,4528,10916,11028,11049,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,3767,11055,3769,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160])).
% 218.71/218.81 cnf(11074,plain,
% 218.71/218.81 (P144(f822(f822(f226(f892(x110741,a882)),x110742),f822(f822(f298(x110741),x110743),x110742)))),
% 218.71/218.81 inference(rename_variables,[],[3767])).
% 218.71/218.81 cnf(11076,plain,
% 218.71/218.81 (E(f822(x110761,f381(f233(f892(x110762,a882)),x110761,x110762,f822(x110761,x110763))),f822(x110761,x110763))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,4474,10534,3122,3173,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3380,3256,4483,10368,3311,3221,10438,4091,3954,4544,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,3772,3309,4519,10345,10348,10374,10868,10883,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,4053,3963,3685,4041,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,4528,10916,11028,11049,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,3921,3767,11055,11061,3769,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374])).
% 218.71/218.81 cnf(11079,plain,
% 218.71/218.81 (~P144(f822(f822(f164(x110791),f108(x110791)),x110792))),
% 218.71/218.81 inference(rename_variables,[],[4524])).
% 218.71/218.81 cnf(11083,plain,
% 218.71/218.81 (~P144(f822(f822(f318(f891(a885,a885)),f822(f822(f243(a885,a885),f822(a107,x110831)),x110831)),f296(a885,a306)))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,4474,10534,3122,3173,3286,10377,10380,10476,10479,3263,3163,3224,3186,3170,3791,3380,3256,4483,10368,3311,3221,10438,4091,3954,4544,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,3772,3309,4519,10345,10348,10374,10868,10883,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,4053,3963,3685,4041,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,4528,10916,11028,11049,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,3921,3767,11055,11061,3769,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476])).
% 218.71/218.81 cnf(11092,plain,
% 218.71/218.81 (P144(f822(f822(f227(a885),x110921),f822(a107,x110921)))),
% 218.71/218.81 inference(rename_variables,[],[3391])).
% 218.71/218.81 cnf(11102,plain,
% 218.71/218.81 (~E(f822(f299(x111021,f892(x111021,a882),x111022),x111023),f822(f297(x111021),x111023))),
% 218.71/218.81 inference(rename_variables,[],[4526])).
% 218.71/218.81 cnf(11105,plain,
% 218.71/218.81 (~P144(f822(f822(f318(x111051),x111052),f182(f892(x111051,a882))))),
% 218.71/218.81 inference(rename_variables,[],[4528])).
% 218.71/218.81 cnf(11108,plain,
% 218.71/218.81 (~P144(f822(f822(f318(x111081),x111082),f182(f892(x111081,a882))))),
% 218.71/218.81 inference(rename_variables,[],[4528])).
% 218.71/218.81 cnf(11111,plain,
% 218.71/218.81 (~P144(f822(f822(f318(f891(x111111,x111111)),f822(f822(f243(x111111,x111111),x111112),x111113)),f145(x111111,f108(f892(x111111,a885)))))),
% 218.71/218.81 inference(rename_variables,[],[4543])).
% 218.71/218.81 cnf(11114,plain,
% 218.71/218.81 (~P144(f822(f822(f318(f891(x111141,x111141)),f822(f822(f243(x111141,x111141),x111142),x111143)),f145(x111141,f108(f892(x111141,a885)))))),
% 218.71/218.81 inference(rename_variables,[],[4543])).
% 218.71/218.81 cnf(11119,plain,
% 218.71/218.81 (~P144(f822(f822(f318(x111191),x111192),f182(f892(x111191,a882))))),
% 218.71/218.81 inference(rename_variables,[],[4528])).
% 218.71/218.81 cnf(11122,plain,
% 218.71/218.81 (P144(f822(f822(f318(f891(x111221,x111221)),f822(f822(f243(x111221,x111221),x111222),x111222)),f296(x111221,x111223)))),
% 218.71/218.81 inference(rename_variables,[],[3954])).
% 218.71/218.81 cnf(11125,plain,
% 218.71/218.81 (P144(f822(f822(f226(f892(x111251,a882)),f822(f164(x111251),f168(x111251,x111252,x111253))),f822(f164(x111251),x111252)))),
% 218.71/218.81 inference(rename_variables,[],[4007])).
% 218.71/218.81 cnf(11128,plain,
% 218.71/218.81 (P144(f822(f822(f226(f892(x111281,a882)),x111282),f233(f892(x111281,a882))))),
% 218.71/218.81 inference(rename_variables,[],[3702])).
% 218.71/218.81 cnf(11131,plain,
% 218.71/218.81 (~E(f822(a107,x111311),x111311)),
% 218.71/218.81 inference(rename_variables,[],[4464])).
% 218.71/218.81 cnf(11147,plain,
% 218.71/218.81 (P144(f822(f822(f226(f892(x111471,a882)),f182(f892(x111471,a882))),x111472))),
% 218.71/218.81 inference(rename_variables,[],[3769])).
% 218.71/218.81 cnf(11158,plain,
% 218.71/218.81 (~P144(f822(f822(f318(f891(f887(x111581),f887(x111581))),f822(f822(f243(f887(x111581),f887(x111581)),x111582),f108(x111581))),f139(x111581,x111583)))),
% 218.71/218.81 inference(rename_variables,[],[4545])).
% 218.71/218.81 cnf(11169,plain,
% 218.71/218.81 (~E(f822(a107,x111691),x111691)),
% 218.71/218.81 inference(rename_variables,[],[4464])).
% 218.71/218.81 cnf(11172,plain,
% 218.71/218.81 (~E(f822(a107,x111721),x111721)),
% 218.71/218.81 inference(rename_variables,[],[4464])).
% 218.71/218.81 cnf(11176,plain,
% 218.71/218.81 (P144(f822(f822(f318(f891(f887(x111761),f887(x111761))),f822(f822(f243(f887(x111761),f887(x111761)),f108(x111761)),f108(x111761))),f822(f822(f278(f887(x111761),f887(x111761),f887(x111761)),f150(x111761,x111762)),f296(f887(x111761),f150(x111761,x111762)))))),
% 218.71/218.81 inference(scs_inference,[],[4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,4526,3311,3221,10438,4091,3954,11122,4544,11039,4545,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,4053,3963,4007,3685,4041,3702,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,4528,10916,11028,11049,11052,11105,11108,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,3921,3767,11055,11061,3769,10790,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699])).
% 218.71/218.81 cnf(11179,plain,
% 218.71/218.81 (~E(f822(a107,x111791),f2(a885))),
% 218.71/218.81 inference(rename_variables,[],[4474])).
% 218.71/218.81 cnf(11182,plain,
% 218.71/218.81 (P144(f822(f822(f226(f892(x111821,a882)),x111822),x111822))),
% 218.71/218.81 inference(rename_variables,[],[3617])).
% 218.71/218.81 cnf(11189,plain,
% 218.71/218.81 (P26(x111891,x111891,f7(x111891),x111892)),
% 218.71/218.81 inference(rename_variables,[],[3561])).
% 218.71/218.81 cnf(11194,plain,
% 218.71/218.81 (~E(f822(f299(x111941,f892(x111941,a882),x111942),x111943),f822(f297(x111941),x111943))),
% 218.71/218.81 inference(rename_variables,[],[4526])).
% 218.71/218.81 cnf(11199,plain,
% 218.71/218.81 (P144(f822(f822(f226(f892(x111991,a882)),x111992),f233(f892(x111991,a882))))),
% 218.74/218.81 inference(rename_variables,[],[3702])).
% 218.74/218.81 cnf(11213,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x112131),x112132),f182(f892(x112131,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11216,plain,
% 218.74/218.81 (~P144(f822(f822(f226(a885),f822(a107,x112161)),x112161))),
% 218.74/218.81 inference(rename_variables,[],[4525])).
% 218.74/218.81 cnf(11223,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x112231),x112232),f182(f892(x112231,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11231,plain,
% 218.74/218.81 (~P144(f822(f822(f318(a885),f822(a107,f822(f134(a885,a885,f79(a885),f2(a885)),x112311))),f822(f164(a885),x112311)))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,4526,11102,3311,3427,3221,10438,4091,3954,11122,4544,11039,4545,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,4053,3963,4007,3685,4041,3702,11128,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,4528,10916,11028,11049,11052,11105,11108,11119,11213,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,3921,3767,11055,11061,3617,3769,10790,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914])).
% 218.74/218.81 cnf(11232,plain,
% 218.74/218.81 (~P144(f822(f822(f226(a885),f822(a107,x112321)),x112321))),
% 218.74/218.81 inference(rename_variables,[],[4525])).
% 218.74/218.81 cnf(11235,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x112351),x112352),f182(f892(x112351,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11239,plain,
% 218.74/218.81 (E(f822(f128(x112391,f233(f892(x112392,a882))),f760(x112393,x112394,f822(f822(f143(x112391),x112394),x112393),f233(f892(x112392,a882)),x112391)),x112393)),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,4526,11102,3311,3427,3221,10438,4091,3954,11122,4544,11039,4545,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,4053,3963,4007,3685,4041,3702,11128,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,3921,3767,11055,11061,3617,3769,10790,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990])).
% 218.74/218.81 cnf(11242,plain,
% 218.74/218.81 (P144(f822(f822(f318(f891(x112421,x112421)),f822(f822(f243(x112421,x112421),x112422),x112422)),f296(x112421,x112423)))),
% 218.74/218.81 inference(rename_variables,[],[3954])).
% 218.74/218.81 cnf(11245,plain,
% 218.74/218.81 (P144(f822(f822(f318(x112451),x112452),f233(f892(x112451,a882))))),
% 218.74/218.81 inference(rename_variables,[],[3476])).
% 218.74/218.81 cnf(11248,plain,
% 218.74/218.81 (P144(f822(f822(f318(x112481),x112482),f233(f892(x112481,a882))))),
% 218.74/218.81 inference(rename_variables,[],[3476])).
% 218.74/218.81 cnf(11255,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f887(x112551),f887(x112551))),f822(f822(f243(f887(x112551),f887(x112551)),x112552),f108(x112551))),f137(x112551,x112553)))),
% 218.74/218.81 inference(rename_variables,[],[4544])).
% 218.74/218.81 cnf(11258,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f887(x112581),f887(x112581))),f822(f822(f243(f887(x112581),f887(x112581)),x112582),f108(x112581))),f139(x112581,x112583)))),
% 218.74/218.81 inference(rename_variables,[],[4545])).
% 218.74/218.81 cnf(11261,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f887(x112611),f887(x112611))),f822(f822(f243(f887(x112611),f887(x112611)),x112612),f108(x112611))),f149(x112611,x112613)))),
% 218.74/218.81 inference(rename_variables,[],[4546])).
% 218.74/218.81 cnf(11263,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f887(x112631),f887(x112631))),f822(f822(f243(f887(x112631),f887(x112631)),f108(x112631)),x112632)),f822(f275(f887(x112631),f887(x112631)),f137(x112631,x112633))))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,4526,11102,3311,3427,3221,10438,4091,3954,11122,4544,11039,11255,4545,11158,4546,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,4053,3963,4007,3685,4041,3702,11128,4536,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,3921,3767,11055,11061,3617,3769,10790,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124])).
% 218.74/218.81 cnf(11266,plain,
% 218.74/218.81 (~P144(f822(f822(f227(f892(x112661,a882)),x112662),f182(f892(x112661,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4536])).
% 218.74/218.81 cnf(11268,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x112681),x112682),f822(f299(x112683,x112681,x112684),f182(f892(x112683,a882)))))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,4526,11102,3311,3427,3221,10438,4091,3954,11122,4544,11039,11255,4545,11158,4546,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,4053,3963,4007,3685,4041,3702,11128,4536,10886,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,3921,3767,11055,11061,3617,3769,10790,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148])).
% 218.74/218.81 cnf(11269,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x112691),x112692),f182(f892(x112691,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11273,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x112731,a882)),x112732),f822(f822(f96(f892(x112731,a882)),x112733),f233(f892(x112731,a882)))))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,4526,11102,3311,3427,3221,10438,4091,3954,11122,4544,11039,11255,4545,11158,4546,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,4053,3963,4007,3685,4041,3702,11128,11199,4536,10886,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,3921,3767,11055,11061,3617,3769,10790,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183])).
% 218.74/218.81 cnf(11274,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x112741,a882)),x112742),f233(f892(x112741,a882))))),
% 218.74/218.81 inference(rename_variables,[],[3702])).
% 218.74/218.81 cnf(11278,plain,
% 218.74/218.81 (~P144(f822(f822(f246(x112781,x112782,a882,f822(f164(x112783),f108(x112783))),x112784),x112785))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,4526,11102,3311,3427,3221,10438,4091,3954,11122,4544,11039,11255,4545,11158,4546,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,4053,3963,4007,3685,4041,3702,11128,11199,4536,10886,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,3921,3767,11055,11061,3617,3769,10790,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293])).
% 218.74/218.81 cnf(11279,plain,
% 218.74/218.81 (~P144(f822(f822(f164(x112791),f108(x112791)),x112792))),
% 218.74/218.81 inference(rename_variables,[],[4524])).
% 218.74/218.81 cnf(11284,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x112841),x112842),f182(f892(x112841,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11287,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(x112871,x112871)),f822(f822(f243(x112871,x112871),x112872),x112873)),f145(x112871,f108(f892(x112871,a885)))))),
% 218.74/218.81 inference(rename_variables,[],[4543])).
% 218.74/218.81 cnf(11290,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x112901,a882)),x112902),x112902))),
% 218.74/218.81 inference(rename_variables,[],[3617])).
% 218.74/218.81 cnf(11293,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x112931),x112932),f182(f892(x112931,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11295,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x112951,a882)),f822(f274(x112952,x112951,f182(f892(f891(x112952,x112951),a882))),x112953)),x112954))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,4526,11102,3311,3427,3221,10438,4091,3954,11122,4544,11039,11255,4545,11158,4546,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,4053,3963,4007,3685,4041,3702,11128,11199,4536,10886,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,11114,3921,3767,11055,11061,3617,11182,3769,10790,11147,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357])).
% 218.74/218.81 cnf(11296,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x112961,a882)),f182(f892(x112961,a882))),x112962))),
% 218.74/218.81 inference(rename_variables,[],[3769])).
% 218.74/218.81 cnf(11299,plain,
% 218.74/218.81 (P144(f822(f822(f318(f891(x112991,x112991)),f822(f822(f243(x112991,x112991),x112992),x112992)),f296(x112991,x112993)))),
% 218.74/218.81 inference(rename_variables,[],[3954])).
% 218.74/218.81 cnf(11301,plain,
% 218.74/218.81 (~P33(x113011,x113012,x113013,f822(f822(f146(x113014,x113011),x113015),f822(a107,f108(x113014))),f108(x113012))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,4526,11102,3311,3427,3221,10438,4091,3954,11122,11242,4544,11039,11255,4545,11158,4546,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,4053,3963,4007,3685,4041,3702,11128,11199,4536,10886,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,11114,3921,3767,11055,11061,3617,11182,3769,10790,11147,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364])).
% 218.74/218.81 cnf(11305,plain,
% 218.74/218.81 (P33(x113051,x113052,x113053,f822(f822(f146(x113054,x113051),x113055),f109(x113054,f108(x113054))),f108(x113052))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,4526,11102,3311,3427,3221,10438,4091,3954,11122,11242,4544,11039,11255,4545,11158,4546,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,4053,3963,4007,3685,4041,3702,11128,11199,4536,10886,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,11114,3921,3767,11055,11061,3617,11182,3769,10790,11147,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388])).
% 218.74/218.81 cnf(11309,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f887(x113091),f887(x113091))),f822(f822(f243(f887(x113091),f887(x113091)),x113092),f108(x113091))),f822(f275(f887(x113091),f887(x113091)),f149(x113091,x113093))))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,4526,11102,3311,3427,3221,10438,4091,3954,11122,11242,4544,11039,11255,4545,11158,4546,11261,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,4053,3963,4007,3685,4041,3702,11128,11199,4536,10886,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,11114,3921,3767,11055,11061,3617,11182,3769,10790,11147,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476])).
% 218.74/218.81 cnf(11310,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f887(x113101),f887(x113101))),f822(f822(f243(f887(x113101),f887(x113101)),x113102),f108(x113101))),f149(x113101,x113103)))),
% 218.74/218.81 inference(rename_variables,[],[4546])).
% 218.74/218.81 cnf(11317,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f887(x113171),f887(x113171))),f822(f822(f243(f887(x113171),f887(x113171)),f108(x113171)),x113172)),f137(x113171,x113173)))),
% 218.74/218.81 inference(rename_variables,[],[4547])).
% 218.74/218.81 cnf(11322,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f892(x113221,a882),f892(x113221,a882))),f822(f822(f243(f892(x113221,a882),f892(x113221,a882)),x113222),f182(f892(x113221,a882)))),f303(x113221)))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,4526,11102,3311,3427,3221,10438,4091,3954,11122,11242,4544,11039,11255,4545,11158,4546,11261,4547,4548,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,4053,3963,4007,3685,4041,3702,11128,11199,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,11114,3921,3767,11055,11061,3617,11182,3769,10790,11147,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522])).
% 218.74/218.81 cnf(11325,plain,
% 218.74/218.81 (P144(f822(f822(f318(x113251),x113252),f233(f892(x113251,a882))))),
% 218.74/218.81 inference(rename_variables,[],[3476])).
% 218.74/218.81 cnf(11330,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x113301,a882)),f182(f892(x113301,a882))),x113302))),
% 218.74/218.81 inference(rename_variables,[],[3769])).
% 218.74/218.81 cnf(11333,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x113331),x113332),f182(f892(x113331,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11336,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x113361,a882)),x113362),f233(f892(x113361,a882))))),
% 218.74/218.81 inference(rename_variables,[],[3702])).
% 218.74/218.81 cnf(11340,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x113401,a882)),f822(f274(x113402,x113401,x113403),f182(f892(x113402,a882)))),x113404))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,4526,11102,3311,3427,3221,10438,4091,3954,11122,11242,4544,11039,11255,4545,11158,4546,11261,4547,4548,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,11248,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,11114,3921,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,4095,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625])).
% 218.74/218.81 cnf(11341,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x113411,a882)),f182(f892(x113411,a882))),x113412))),
% 218.74/218.81 inference(rename_variables,[],[3769])).
% 218.74/218.81 cnf(11343,plain,
% 218.74/218.81 (~P144(f822(f65(a885,x113431,x113432,x113433,f233(f892(a885,a882))),x113434))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,4526,11102,3311,3427,3221,10438,4091,3954,11122,11242,4544,11039,11255,4545,11158,4546,11261,4547,4548,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,11248,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,3384,10754,10784,10793,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,11114,3921,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,4095,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646])).
% 218.74/218.81 cnf(11356,plain,
% 218.74/218.81 (P144(f822(f233(f892(x113561,a882)),x113562))),
% 218.74/218.81 inference(rename_variables,[],[3384])).
% 218.74/218.81 cnf(11364,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f887(x113641),f887(x113641))),f822(f822(f243(f887(x113641),f887(x113641)),x113642),f108(x113641))),f137(x113641,x113643)))),
% 218.74/218.81 inference(rename_variables,[],[4544])).
% 218.74/218.81 cnf(11367,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f887(x113671),f887(x113671))),f822(f822(f243(f887(x113671),f887(x113671)),x113672),f108(x113671))),f139(x113671,x113673)))),
% 218.74/218.81 inference(rename_variables,[],[4545])).
% 218.74/218.81 cnf(11370,plain,
% 218.74/218.81 (~E(f822(f822(f143(x113701),x113702),x113703),x113703)),
% 218.74/218.81 inference(rename_variables,[],[4483])).
% 218.74/218.81 cnf(11373,plain,
% 218.74/218.81 (~E(f822(a107,x113731),x113731)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(11375,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x113751),x113752),f822(f274(x113753,x113751,x113754),f182(f892(x113753,a882)))))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,10531,4526,11102,3311,3427,3221,10438,4091,3954,11122,11242,4544,11039,11255,4545,11158,11258,4546,11261,4547,11317,4548,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,11248,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,3384,10754,10784,10793,10796,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,11114,3921,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,4095,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764])).
% 218.74/218.81 cnf(11376,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x113761),x113762),f182(f892(x113761,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11381,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x113811),x113812),f182(f892(x113811,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11384,plain,
% 218.74/218.81 (P144(f822(f822(f318(f891(f887(x113841),f887(x113841))),f822(f822(f243(f887(x113841),f887(x113841)),x113842),x113842)),f150(x113841,f296(x113841,x113843))))),
% 218.74/218.81 inference(rename_variables,[],[4084])).
% 218.74/218.81 cnf(11387,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f887(x113871),f887(x113871))),f822(f822(f243(f887(x113871),f887(x113871)),x113872),f108(x113871))),f137(x113871,x113873)))),
% 218.74/218.81 inference(rename_variables,[],[4544])).
% 218.74/218.81 cnf(11391,plain,
% 218.74/218.81 (E(f822(f822(f143(x113911),f671(f296(x113911,x113912),f822(f822(f143(x113911),x113913),x113914),x113914,x113913,x113911)),f672(f296(x113911,x113912),f822(f822(f143(x113911),x113913),x113914),x113914,x113913,x113911)),f822(f822(f143(x113911),x113913),x113914))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,10531,4526,11102,3311,3427,3221,10438,4091,3954,11122,11242,4544,11039,11255,11364,4545,11158,11258,4546,11261,4547,11317,4548,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4084,11384,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,11248,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,3384,10754,10784,10793,10796,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,11114,3921,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,4095,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826])).
% 218.74/218.81 cnf(11397,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x113971),x113972),f182(f892(x113971,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11400,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x114001),x114002),f182(f892(x114001,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11403,plain,
% 218.74/218.81 (P144(f822(f822(f318(x114031),x114032),f233(f892(x114031,a882))))),
% 218.74/218.81 inference(rename_variables,[],[3476])).
% 218.74/218.81 cnf(11406,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x114061),f2(a885)))),
% 218.74/218.81 inference(rename_variables,[],[4519])).
% 218.74/218.81 cnf(11411,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(x114111,x114111)),f822(f822(f243(x114111,x114111),x114112),x114113)),f145(x114111,f108(f892(x114111,a885)))))),
% 218.74/218.81 inference(rename_variables,[],[4543])).
% 218.74/218.81 cnf(11420,plain,
% 218.74/218.81 (~E(f822(f299(x114201,f892(x114201,a882),x114202),x114203),f822(f297(x114201),x114203))),
% 218.74/218.81 inference(rename_variables,[],[4526])).
% 218.74/218.81 cnf(11423,plain,
% 218.74/218.81 (~E(f822(f299(x114231,f892(x114231,a882),x114232),x114233),f822(f297(x114231),x114233))),
% 218.74/218.81 inference(rename_variables,[],[4526])).
% 218.74/218.81 cnf(11428,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f887(x114281),f887(x114281))),f822(f822(f243(f887(x114281),f887(x114281)),x114282),f108(x114281))),f137(x114281,x114283)))),
% 218.74/218.81 inference(rename_variables,[],[4544])).
% 218.74/218.81 cnf(11431,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f887(x114311),f887(x114311))),f822(f822(f243(f887(x114311),f887(x114311)),x114312),f108(x114311))),f139(x114311,x114313)))),
% 218.74/218.81 inference(rename_variables,[],[4545])).
% 218.74/218.81 cnf(11434,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f887(x114341),f887(x114341))),f822(f822(f243(f887(x114341),f887(x114341)),x114342),f108(x114341))),f137(x114341,x114343)))),
% 218.74/218.81 inference(rename_variables,[],[4544])).
% 218.74/218.81 cnf(11437,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x114371),x114372),f182(f892(x114371,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11439,plain,
% 218.74/218.81 (P144(f822(f822(f318(f891(x114391,x114392)),f822(f822(f243(x114391,x114392),f822(x114393,x114394)),f822(x114395,x114394))),f822(f299(f891(x114396,x114396),f891(x114391,x114392),f249(x114396,x114391,x114396,x114392,x114393,x114395)),f296(x114396,x114397))))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,10531,4526,11102,11194,11420,3311,3427,3221,10438,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,4545,11158,11258,11367,4546,11261,4547,11317,4548,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4084,11384,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,10989,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,11248,11325,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,3384,10754,10784,10793,10796,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,11114,11287,3921,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,4095,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142])).
% 218.74/218.81 cnf(11442,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x114421),x114422),f182(f892(x114421,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11445,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x114451),x114452),f182(f892(x114451,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11448,plain,
% 218.74/218.81 (P144(f822(f822(f318(x114481),f822(x114482,x114483)),f822(f299(x114484,x114481,x114482),f233(f892(x114484,a882)))))),
% 218.74/218.81 inference(rename_variables,[],[3921])).
% 218.74/218.81 cnf(11450,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(x114501,x114502)),x114503),f822(f299(f891(x114504,x114504),f891(x114501,x114502),f249(x114504,x114501,x114504,x114502,x114505,x114506)),f145(x114504,f108(f892(x114504,a885))))))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,4474,10534,10633,3122,3173,3286,10377,10380,10476,10479,3263,3779,3163,3224,3186,3170,3791,3380,3256,3952,4483,10368,10531,4526,11102,11194,11420,3311,3427,3221,10438,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,4545,11158,11258,11367,4546,11261,4547,11317,4548,3241,3518,3684,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,4519,10345,10348,10374,10868,10883,10997,4532,3759,3528,3903,3352,3354,3328,4516,4478,4084,11384,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,3327,10926,10989,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,11248,11325,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,3384,10754,10784,10793,10796,3416,3838,3777,10417,4525,10365,10748,10751,11216,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4538,10656,4543,11111,11114,11287,11411,3921,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,4095,3800,4539,10390,10393,10742,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296])).
% 218.74/218.81 cnf(11451,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(x114511,x114511)),f822(f822(f243(x114511,x114511),x114512),x114513)),f145(x114511,f108(f892(x114511,a885)))))),
% 218.74/218.81 inference(rename_variables,[],[4543])).
% 218.74/218.81 cnf(11459,plain,
% 218.74/218.81 (E(f109(x114591,f108(x114591)),f108(x114591))),
% 218.74/218.81 inference(rename_variables,[],[3173])).
% 218.74/218.81 cnf(11462,plain,
% 218.74/218.81 (~E(f822(a107,x114621),x114621)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(11469,plain,
% 218.74/218.81 (~E(f822(a107,x114691),x114691)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(11474,plain,
% 218.74/218.81 (E(f822(f273(x114741,x114741),f254(x114741,x114742)),x114742)),
% 218.74/218.81 inference(rename_variables,[],[3286])).
% 218.74/218.81 cnf(11477,plain,
% 218.74/218.81 (E(f822(f273(x114771,x114771),f254(x114771,x114772)),x114772)),
% 218.74/218.81 inference(rename_variables,[],[3286])).
% 218.74/218.81 cnf(11483,plain,
% 218.74/218.81 (~E(f822(a107,x114831),x114831)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(11488,plain,
% 218.74/218.81 (~E(f822(f822(f79(a1),x114881),x114881),a92)),
% 218.74/218.81 inference(rename_variables,[],[4481])).
% 218.74/218.81 cnf(11495,plain,
% 218.74/218.81 (E(f822(f822(f3(a885),f2(a885)),x114951),f2(a885))),
% 218.74/218.81 inference(rename_variables,[],[3244])).
% 218.74/218.81 cnf(11498,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x114981),f2(a885)))),
% 218.74/218.81 inference(rename_variables,[],[4519])).
% 218.74/218.81 cnf(11505,plain,
% 218.74/218.81 (E(f822(f822(f79(a1),f822(f822(f80(a1),x115051),f822(f822(f35(a1),x115052),x115051))),f44(a1,x115052,x115051)),x115052)),
% 218.74/218.81 inference(rename_variables,[],[3870])).
% 218.74/218.81 cnf(11529,plain,
% 218.74/218.81 (~E(f822(a107,x115291),x115291)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(11532,plain,
% 218.74/218.81 (~E(f822(a107,x115321),x115321)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(11558,plain,
% 218.74/218.81 (~P144(f822(f822(f164(x115581),f108(x115581)),x115582))),
% 218.74/218.81 inference(rename_variables,[],[4524])).
% 218.74/218.81 cnf(11564,plain,
% 218.74/218.81 (P144(f822(f822(f227(a885),f2(a885)),f822(a107,x115641)))),
% 218.74/218.81 inference(rename_variables,[],[3403])).
% 218.74/218.81 cnf(11565,plain,
% 218.74/218.81 (~E(f822(a107,x115651),x115651)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(11568,plain,
% 218.74/218.81 (P144(f822(f822(f318(x115681),x115682),f233(f892(x115681,a882))))),
% 218.74/218.81 inference(rename_variables,[],[3476])).
% 218.74/218.81 cnf(11580,plain,
% 218.74/218.81 (~E(f822(a107,x115801),x115801)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(11583,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),x115831),x115831))),
% 218.74/218.81 inference(rename_variables,[],[3326])).
% 218.74/218.81 cnf(11590,plain,
% 218.74/218.81 (P144(f822(f65(x115901,x115902,x115903,x115904,f182(f892(x115901,a882))),x115904))),
% 218.74/218.81 inference(rename_variables,[],[4224])).
% 218.74/218.81 cnf(11591,plain,
% 218.74/218.81 (E(f822(f273(x115911,x115911),f254(x115911,x115912)),x115912)),
% 218.74/218.81 inference(rename_variables,[],[3286])).
% 218.74/218.81 cnf(11604,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),f822(f822(f79(a885),x116041),x116042)),x116042))),
% 218.74/218.81 inference(rename_variables,[],[4539])).
% 218.74/218.81 cnf(11607,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a1),f822(f95(a1),x116071)),f2(a1)))),
% 218.74/218.81 inference(rename_variables,[],[4532])).
% 218.74/218.81 cnf(11621,plain,
% 218.74/218.81 (~E(f822(f822(f230(a885),f822(a107,x116211)),x116211),f822(a107,x116211))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,3246,4474,10534,10633,2932,2933,2942,2943,2947,2950,2951,2956,2965,2971,2985,2986,2987,2991,2995,3028,3078,3086,3117,3122,4461,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,3263,3779,3163,3870,11505,3224,3186,3170,3791,3380,3256,3952,4483,10368,10531,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,4546,11261,4547,11317,4548,3241,3518,3684,4481,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,3403,4519,10345,10348,10374,10868,10883,10997,11406,11498,4532,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,10981,3327,10926,10989,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,11248,11325,11403,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,3384,10754,10784,10793,10796,3416,3838,3777,10417,4525,10365,10748,10751,11216,11232,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,4095,3800,4539,10390,10393,10742,10745,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358])).
% 218.74/218.81 cnf(11630,plain,
% 218.74/218.81 (E(f822(f273(x116301,x116301),f254(x116301,x116302)),x116302)),
% 218.74/218.81 inference(rename_variables,[],[3286])).
% 218.74/218.81 cnf(11635,plain,
% 218.74/218.81 (E(f822(f273(x116351,x116351),f254(x116351,x116352)),x116352)),
% 218.74/218.81 inference(rename_variables,[],[3286])).
% 218.74/218.81 cnf(11638,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a1),f822(f95(a1),x116381)),f2(a1)))),
% 218.74/218.81 inference(rename_variables,[],[4532])).
% 218.74/218.81 cnf(11643,plain,
% 218.74/218.81 (~E(f822(a107,x116431),x116431)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(11648,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x116481),f2(a885)))),
% 218.74/218.81 inference(rename_variables,[],[4519])).
% 218.74/218.81 cnf(11652,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),f2(a1)),a82))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,3246,4474,10534,10633,2932,2933,2942,2943,2947,2950,2951,2956,2965,2971,2985,2986,2987,2989,2991,2995,3028,3078,3083,3086,3100,3117,3122,4461,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,3263,3779,3163,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,4546,11261,4547,11317,4548,3241,3518,3684,4481,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,3403,4519,10345,10348,10374,10868,10883,10997,11406,11498,4532,11607,11638,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,10981,3327,10926,10989,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,11248,11325,11403,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,4525,10365,10748,10751,11216,11232,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,4095,3800,4539,10390,10393,10742,10745,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451])).
% 218.74/218.81 cnf(11657,plain,
% 218.74/218.81 (~P144(f822(f822(f164(x116571),f108(x116571)),x116572))),
% 218.74/218.81 inference(rename_variables,[],[4524])).
% 218.74/218.81 cnf(11680,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a1),f822(f95(a1),x116801)),f2(a1)))),
% 218.74/218.81 inference(rename_variables,[],[4532])).
% 218.74/218.81 cnf(11683,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x116831),f2(a885)))),
% 218.74/218.81 inference(rename_variables,[],[4519])).
% 218.74/218.81 cnf(11684,plain,
% 218.74/218.81 (P144(f822(f822(f227(a885),x116841),f822(a107,x116841)))),
% 218.74/218.81 inference(rename_variables,[],[3391])).
% 218.74/218.81 cnf(11687,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a1),f822(f95(a1),x116871)),f2(a1)))),
% 218.74/218.81 inference(rename_variables,[],[4532])).
% 218.74/218.81 cnf(11689,plain,
% 218.74/218.81 (~P17(x116891,f318(f892(x116892,a882)))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,3246,4474,10534,10633,2932,2933,2942,2943,2947,2950,2951,2956,2965,2971,2985,2986,2987,2989,2991,2995,3028,3056,3078,3083,3084,3086,3100,3101,3117,3122,4461,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,3263,3779,3163,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,4546,11261,4547,11317,4548,3241,3518,3684,4481,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,3772,3309,3403,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,4532,11607,11638,11680,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,10981,3327,10926,10989,4515,10385,10414,10907,10945,3476,10723,10992,11036,11245,11248,11325,11403,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,4525,10365,10748,10751,11216,11232,3346,10787,10939,4132,4522,3846,4507,4510,3302,3303,4509,4511,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,4095,3800,4539,10390,10393,10742,10745,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521])).
% 218.74/218.81 cnf(11690,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x116901),x116902),f182(f892(x116901,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11691,plain,
% 218.74/218.81 (P144(f822(f822(f318(f892(x116911,a882)),x116912),f822(f297(x116911),x116912)))),
% 218.74/218.81 inference(rename_variables,[],[3685])).
% 218.74/218.81 cnf(11704,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),x117041),x117041))),
% 218.74/218.81 inference(rename_variables,[],[3326])).
% 218.74/218.81 cnf(11707,plain,
% 218.74/218.81 (~P144(f822(f822(f226(a885),f822(a107,x117071)),x117071))),
% 218.74/218.81 inference(rename_variables,[],[4525])).
% 218.74/218.81 cnf(11708,plain,
% 218.74/218.81 (~E(f822(a107,x117081),x117081)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(11718,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),f822(f822(f79(a885),x117181),x117182)),x117181))),
% 218.74/218.81 inference(rename_variables,[],[4540])).
% 218.74/218.81 cnf(11721,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a1),f822(f95(a1),x117211)),f2(a1)))),
% 218.74/218.81 inference(rename_variables,[],[4532])).
% 218.74/218.81 cnf(11724,plain,
% 218.74/218.81 (~E(f822(a107,x117241),x117241)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(11737,plain,
% 218.74/218.81 (P144(f822(f822(f318(x117371),x117372),f822(f822(f298(x117371),x117372),x117373)))),
% 218.74/218.81 inference(rename_variables,[],[3632])).
% 218.74/218.81 cnf(11738,plain,
% 218.74/218.81 (~P144(f822(f822(f226(a1),f2(a1)),f822(f78(a1),f822(f95(a1),f822(a107,x117381)))))),
% 218.74/218.81 inference(rename_variables,[],[4541])).
% 218.74/218.81 cnf(11741,plain,
% 218.74/218.81 (P144(f822(f822(f227(a885),f822(f822(f3(a885),x117411),x117412)),f822(a107,x117411)))),
% 218.74/218.81 inference(rename_variables,[],[3772])).
% 218.74/218.81 cnf(11744,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),f44(a885,x117441,x117442)),x117441))),
% 218.74/218.81 inference(rename_variables,[],[3777])).
% 218.74/218.81 cnf(11750,plain,
% 218.74/218.81 (E(f822(f273(x117501,x117501),f254(x117501,x117502)),x117502)),
% 218.74/218.81 inference(rename_variables,[],[3286])).
% 218.74/218.81 cnf(11755,plain,
% 218.74/218.81 (E(f822(f822(f126(x117551),f161(x117551,x117552,x117553)),f161(x117551,x117554,x117553)),f822(f822(f126(x117551),f161(x117551,x117554,x117553)),f161(x117551,x117552,x117553)))),
% 218.74/218.81 inference(rename_variables,[],[3884])).
% 218.74/218.81 cnf(11760,plain,
% 218.74/218.81 (~P144(f822(f822(f226(a885),f822(a107,x117601)),x117601))),
% 218.74/218.81 inference(rename_variables,[],[4525])).
% 218.74/218.81 cnf(11769,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x117691),x117691))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(11772,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),f44(a885,x117721,x117722)),x117721))),
% 218.74/218.81 inference(rename_variables,[],[3777])).
% 218.74/218.81 cnf(11773,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),f2(a885)),x117731))),
% 218.74/218.81 inference(rename_variables,[],[3346])).
% 218.74/218.81 cnf(11775,plain,
% 218.74/218.81 (~P144(f822(f822(f226(a1),f77(a1)),f2(a1)))),
% 218.74/218.81 inference(scs_inference,[],[3561,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,3246,4474,10534,10633,2932,2933,2942,2943,2946,2947,2950,2951,2956,2965,2971,2985,2986,2987,2989,2991,2995,3028,3056,3076,3078,3083,3084,3086,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,3263,3779,3163,3520,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,3772,3309,3403,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,4532,11607,11638,11680,11687,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,3326,10547,10772,10863,10981,11583,3327,10926,10989,4515,10385,10414,10907,10945,10954,3476,10723,10992,11036,11245,11248,11325,11403,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,4525,10365,10748,10751,11216,11232,11707,3346,10787,10939,11012,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,4542,10553,4187,4095,3800,4539,10390,10393,10742,10745,4540,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806])).
% 218.74/218.81 cnf(11790,plain,
% 218.74/218.81 (E(f822(f273(x117901,x117901),f254(x117901,x117902)),x117902)),
% 218.74/218.81 inference(rename_variables,[],[3286])).
% 218.74/218.81 cnf(11793,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x117931),x117931))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(11796,plain,
% 218.74/218.81 (P144(f822(f822(f318(x117961),f822(x117962,x117963)),f822(f299(x117964,x117961,x117962),f233(f892(x117964,a882)))))),
% 218.74/218.81 inference(rename_variables,[],[3921])).
% 218.74/218.81 cnf(11797,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),f822(f822(f79(a885),x117971),x117972)),x117972))),
% 218.74/218.81 inference(rename_variables,[],[4539])).
% 218.74/218.81 cnf(11800,plain,
% 218.74/218.81 (P144(f822(f822(f318(x118001),f822(x118002,x118003)),f822(f299(x118004,x118001,x118002),f233(f892(x118004,a882)))))),
% 218.74/218.81 inference(rename_variables,[],[3921])).
% 218.74/218.81 cnf(11801,plain,
% 218.74/218.81 (~P144(f822(f822(f226(a885),f822(a107,x118011)),x118011))),
% 218.74/218.81 inference(rename_variables,[],[4525])).
% 218.74/218.81 cnf(11806,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),f822(f822(f79(a885),x118061),x118062)),x118061))),
% 218.74/218.81 inference(rename_variables,[],[4540])).
% 218.74/218.81 cnf(11809,plain,
% 218.74/218.81 (~P144(f822(f822(f164(x118091),f108(x118091)),x118092))),
% 218.74/218.81 inference(rename_variables,[],[4524])).
% 218.74/218.81 cnf(11812,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x118121),x118121))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(11822,plain,
% 218.74/218.81 (~P34(x118221,x118222,f108(x118221))),
% 218.74/218.81 inference(rename_variables,[],[4494])).
% 218.74/218.81 cnf(11825,plain,
% 218.74/218.81 (P144(f822(f822(f318(x118251),x118252),f233(f892(x118251,a882))))),
% 218.74/218.81 inference(rename_variables,[],[3476])).
% 218.74/218.81 cnf(11826,plain,
% 218.74/218.81 (~P144(f822(f822(f226(a885),f822(a107,x118261)),x118261))),
% 218.74/218.81 inference(rename_variables,[],[4525])).
% 218.74/218.81 cnf(11839,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x118391),x118392),f182(f892(x118391,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11842,plain,
% 218.74/218.81 (E(f822(f822(f18(x118421,x118422),x118423),x118424),x118423)),
% 218.74/218.81 inference(rename_variables,[],[3316])).
% 218.74/218.81 cnf(11845,plain,
% 218.74/218.81 (E(f822(f822(f18(x118451,x118452),x118453),x118454),x118453)),
% 218.74/218.81 inference(rename_variables,[],[3316])).
% 218.74/218.81 cnf(11854,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),f822(f822(f35(a885),x118541),x118542)),x118541))),
% 218.74/218.81 inference(rename_variables,[],[3745])).
% 218.74/218.81 cnf(11855,plain,
% 218.74/218.81 (P144(f822(f822(f227(a885),f2(a885)),f822(a107,x118551)))),
% 218.74/218.81 inference(rename_variables,[],[3403])).
% 218.74/218.81 cnf(11858,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x118581),x118581))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(11861,plain,
% 218.74/218.81 (P144(f822(f60(x118611),f822(f164(x118611),x118612)))),
% 218.74/218.81 inference(rename_variables,[],[3365])).
% 218.74/218.81 cnf(11864,plain,
% 218.74/218.81 (P144(f822(f60(x118641),f822(f164(x118641),x118642)))),
% 218.74/218.81 inference(rename_variables,[],[3365])).
% 218.74/218.81 cnf(11867,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),f822(f78(a1),f822(f95(a1),x118671))),f822(f95(a1),x118672)))),
% 218.74/218.81 inference(rename_variables,[],[3801])).
% 218.74/218.81 cnf(11870,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x118701),x118702),f182(f892(x118701,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(11882,plain,
% 218.74/218.81 (~P144(f822(f822(f318(a885),f2(a885)),f822(f293(a885),x118821)))),
% 218.74/218.81 inference(scs_inference,[],[3561,4493,4494,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,3246,4474,10534,10633,2932,2933,2942,2943,2946,2947,2950,2951,2956,2965,2971,2981,2985,2986,2987,2989,2991,2995,3028,3056,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,3263,3779,3163,3520,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,3772,11741,3309,3403,11564,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,4532,11607,11638,11680,11687,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,3326,10547,10772,10863,10981,11583,3327,10926,10989,3399,4515,10385,10414,10907,10945,10954,11769,3476,10723,10992,11036,11245,11248,11325,11403,11568,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,4525,10365,10748,10751,11216,11232,11707,11760,11801,3346,10787,10939,11012,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,4187,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170])).
% 218.74/218.81 cnf(11884,plain,
% 218.74/218.81 (~P144(f822(f822(f318(a885),x118841),f822(f271(a885),f2(a885))))),
% 218.74/218.81 inference(scs_inference,[],[3561,4493,4494,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,3246,4474,10534,10633,2932,2933,2942,2943,2946,2947,2950,2951,2956,2965,2971,2981,2985,2986,2987,2989,2991,2995,3028,3056,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,3263,3779,3163,3520,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,3772,11741,3309,3403,11564,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,4532,11607,11638,11680,11687,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,3326,10547,10772,10863,10981,11583,3327,10926,10989,3399,4515,10385,10414,10907,10945,10954,11769,3476,10723,10992,11036,11245,11248,11325,11403,11568,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,4525,10365,10748,10751,11216,11232,11707,11760,11801,3346,10787,10939,11012,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,4187,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171])).
% 218.74/218.81 cnf(11890,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),f44(a885,x118901,f28(a25))),x118901))),
% 218.74/218.81 inference(scs_inference,[],[3561,4493,4494,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,3246,4474,10534,10633,2932,2933,2942,2943,2946,2947,2950,2951,2956,2965,2971,2981,2985,2986,2987,2989,2991,2995,3028,3056,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,3263,3779,3163,3520,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,3772,11741,3309,3403,11564,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,4532,11607,11638,11680,11687,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,3326,10547,10772,10863,10981,11583,11704,3327,10926,10989,3399,4515,10385,10414,10907,10945,10954,11769,3476,10723,10992,11036,11245,11248,11325,11403,11568,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,3346,10787,10939,11012,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,4187,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206])).
% 218.74/218.81 cnf(11891,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),x118911),x118911))),
% 218.74/218.81 inference(rename_variables,[],[3326])).
% 218.74/218.81 cnf(11894,plain,
% 218.74/218.81 (P144(f822(f822(f227(a885),x118941),f822(a107,x118941)))),
% 218.74/218.81 inference(rename_variables,[],[3391])).
% 218.74/218.81 cnf(11897,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),x118971),x118971))),
% 218.74/218.81 inference(rename_variables,[],[3326])).
% 218.74/218.81 cnf(11908,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x119081),f2(a885)))),
% 218.74/218.81 inference(rename_variables,[],[4519])).
% 218.74/218.81 cnf(11911,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),x119111),x119111))),
% 218.74/218.81 inference(rename_variables,[],[3326])).
% 218.74/218.81 cnf(11916,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x119161),f2(a885)))),
% 218.74/218.81 inference(rename_variables,[],[4519])).
% 218.74/218.81 cnf(11925,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),f2(a885)),x119251))),
% 218.74/218.81 inference(rename_variables,[],[3346])).
% 218.74/218.81 cnf(11926,plain,
% 218.74/218.81 (~P144(f822(f822(f226(a885),f822(a107,x119261)),x119261))),
% 218.74/218.81 inference(rename_variables,[],[4525])).
% 218.74/218.81 cnf(11929,plain,
% 218.74/218.81 (~P144(f822(f822(f164(x119291),f108(x119291)),x119292))),
% 218.74/218.81 inference(rename_variables,[],[4524])).
% 218.74/218.81 cnf(11932,plain,
% 218.74/218.81 (~P144(f822(f822(f164(x119321),f108(x119321)),x119322))),
% 218.74/218.81 inference(rename_variables,[],[4524])).
% 218.74/218.81 cnf(11940,plain,
% 218.74/218.81 (~P144(f822(f822(f276(a885),f822(a107,f822(f822(f79(a885),f822(a107,f2(a885))),x119401))),f822(a107,f2(a885))))),
% 218.74/218.81 inference(scs_inference,[],[3561,4493,4494,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2981,2985,2986,2987,2989,2991,2995,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,3263,3779,3163,3520,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,3772,11741,3309,3403,11564,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,4532,11607,11638,11680,11687,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,3326,10547,10772,10863,10981,11583,11704,11891,11897,3327,10926,10989,3399,4515,10385,10414,10907,10945,10954,11769,3476,10723,10992,11036,11245,11248,11325,11403,11568,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,3346,10787,10939,11012,11773,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,4187,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436])).
% 218.74/218.81 cnf(11942,plain,
% 218.74/218.81 (P144(f822(f822(f227(a885),x119421),f822(a107,x119421)))),
% 218.74/218.81 inference(rename_variables,[],[3391])).
% 218.74/218.81 cnf(11948,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a1),f822(f95(a1),f822(a107,x119481))),f822(f78(a1),f2(a1))))),
% 218.74/218.81 inference(scs_inference,[],[3561,4493,4494,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2981,2985,2986,2987,2989,2991,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,3263,3779,3163,3520,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,3772,11741,3309,3403,11564,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,3326,10547,10772,10863,10981,11583,11704,11891,11897,3327,10926,10989,3399,4515,10385,10414,10907,10945,10954,11769,3476,10723,10992,11036,11245,11248,11325,11403,11568,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,3346,10787,10939,11012,11773,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,4187,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477])).
% 218.74/218.81 cnf(11952,plain,
% 218.74/218.81 (P144(f822(f822(f227(a1),f822(f78(a1),f77(a1))),f2(a1)))),
% 218.74/218.81 inference(scs_inference,[],[3561,4493,4494,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2981,2985,2986,2987,2989,2991,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,3263,3779,3163,3520,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,3772,11741,3309,3403,11564,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,3326,10547,10772,10863,10981,11583,11704,11891,11897,3327,10926,10989,3399,4515,10385,10414,10907,10945,10954,11769,3476,10723,10992,11036,11245,11248,11325,11403,11568,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,3346,10787,10939,11012,11773,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,4187,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494])).
% 218.74/218.81 cnf(11957,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x119571),x119571))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(11960,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x119601),x119601))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(11963,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x119631),x119631))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(11966,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x119661),x119661))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(11969,plain,
% 218.74/218.81 (~P144(f822(f822(f226(a885),f822(a107,x119691)),x119691))),
% 218.74/218.81 inference(rename_variables,[],[4525])).
% 218.74/218.81 cnf(11972,plain,
% 218.74/218.81 (~P144(f822(f822(f226(a885),f822(a107,x119721)),x119721))),
% 218.74/218.81 inference(rename_variables,[],[4525])).
% 218.74/218.81 cnf(11975,plain,
% 218.74/218.81 (~P144(f822(f822(f226(a885),f822(a107,x119751)),x119751))),
% 218.74/218.81 inference(rename_variables,[],[4525])).
% 218.74/218.81 cnf(11978,plain,
% 218.74/218.81 (~P144(f822(f822(f226(a885),f822(a107,x119781)),x119781))),
% 218.74/218.81 inference(rename_variables,[],[4525])).
% 218.74/218.81 cnf(11994,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),f822(f822(f3(a885),x119941),f822(a107,x119941))),f2(a885)))),
% 218.74/218.81 inference(scs_inference,[],[3561,4493,4494,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2981,2985,2986,2987,2989,2991,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,3263,3779,3163,3520,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,3772,11741,3309,3403,11564,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,4053,3963,4007,3685,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,3326,10547,10772,10863,10981,11583,11704,11891,11897,3327,10926,10989,3399,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,3476,10723,10992,11036,11245,11248,11325,11403,11568,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,3346,10787,10939,11012,11773,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,4187,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494,6495,6499,6501,6502,6503,6505,6507,6508,6509,6516,6523,6524,6525,6526,6532,6534,6577])).
% 218.74/218.81 cnf(11995,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x119951),x119951))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12001,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),x120011),x120011))),
% 218.74/218.81 inference(rename_variables,[],[3326])).
% 218.74/218.81 cnf(12012,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),x120121),x120121))),
% 218.74/218.81 inference(rename_variables,[],[3326])).
% 218.74/218.81 cnf(12015,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(f891(f887(x120151),f887(x120151)),a882)),f150(x120151,x120152)),f296(f887(x120151),f149(x120151,x120152))))),
% 218.74/218.81 inference(rename_variables,[],[4012])).
% 218.74/218.81 cnf(12022,plain,
% 218.74/218.81 (P144(f822(f822(f227(a885),x120221),f822(a107,x120221)))),
% 218.74/218.81 inference(rename_variables,[],[3391])).
% 218.74/218.81 cnf(12025,plain,
% 218.74/218.81 (P144(f822(f822(f318(f892(x120251,a882)),x120252),f822(f297(x120251),x120252)))),
% 218.74/218.81 inference(rename_variables,[],[3685])).
% 218.74/218.81 cnf(12026,plain,
% 218.74/218.81 (~E(f822(a107,x120261),x120261)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(12033,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),x120331),x120331))),
% 218.74/218.81 inference(rename_variables,[],[3326])).
% 218.74/218.81 cnf(12038,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),x120381),x120381))),
% 218.74/218.81 inference(rename_variables,[],[3326])).
% 218.74/218.81 cnf(12047,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x120471,a882)),x120472),f822(f822(f298(x120471),x120473),x120472)))),
% 218.74/218.81 inference(rename_variables,[],[3767])).
% 218.74/218.81 cnf(12050,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x120501),x120501))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12051,plain,
% 218.74/218.81 (~E(f822(a107,x120511),x120511)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(12064,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x120641),x120641))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(12065,plain,
% 218.74/218.81 (~E(f822(a107,x120651),x120651)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(12068,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x120681),x120681))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12071,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x120711),x120711))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12074,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x120741),x120741))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12077,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x120771),x120771))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12080,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),x120801),x120801))),
% 218.74/218.81 inference(rename_variables,[],[3326])).
% 218.74/218.81 cnf(12083,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),x120831),x120831))),
% 218.74/218.81 inference(rename_variables,[],[3326])).
% 218.74/218.81 cnf(12086,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x120861),x120861))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(12089,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x120891),x120891))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(12090,plain,
% 218.74/218.81 (P144(f822(f822(f227(a885),x120901),f822(a107,x120901)))),
% 218.74/218.81 inference(rename_variables,[],[3391])).
% 218.74/218.81 cnf(12097,plain,
% 218.74/218.81 (~E(f822(a107,x120971),x120971)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(12102,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x121021),x121021))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(12103,plain,
% 218.74/218.81 (~E(f822(a107,x121031),x121031)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(12108,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),x121081),x121081))),
% 218.74/218.81 inference(rename_variables,[],[3326])).
% 218.74/218.81 cnf(12123,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),x121231),x121231))),
% 218.74/218.81 inference(rename_variables,[],[3326])).
% 218.74/218.81 cnf(12128,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x121281),x121281))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12143,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x121431),f2(a885)))),
% 218.74/218.81 inference(rename_variables,[],[4519])).
% 218.74/218.81 cnf(12146,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x121461),f2(a885)))),
% 218.74/218.81 inference(rename_variables,[],[4519])).
% 218.74/218.81 cnf(12149,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x121491),x121492),f182(f892(x121491,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(12152,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x121521),x121522),f182(f892(x121521,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(12155,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x121551),x121551))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(12157,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x121571),f822(f822(f230(a885),x121571),x121572)))),
% 218.74/218.81 inference(scs_inference,[],[3561,4493,4494,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2981,2985,2986,2987,2989,2991,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,3263,3272,3779,4077,3163,3520,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,3772,11741,3309,3403,11564,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,4053,4012,3963,4007,3685,11691,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,3327,10926,10989,3399,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,3476,10723,10992,11036,11245,11248,11325,11403,11568,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,11074,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,4187,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494,6495,6499,6501,6502,6503,6505,6507,6508,6509,6516,6523,6524,6525,6526,6532,6534,6577,6583,6599,6602,6603,6604,6638,6643,6646,6651,6652,6663,6666,6681,6707,6708,6709,6710,6721,6726,6744,6748,6770,6790,6803,6804,6805,6811,6825,6847,6849,6851,6853,6856,6857,6862,6864,6878,6883,6885,6923,6926,6927,6943,6944,6945,6946,6967,6968,6986,7013,7037,7048,7050,7051,7053,7055,7087,7088,7089,7092,7093,7095,7097])).
% 218.74/218.81 cnf(12158,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x121581),x121581))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(12160,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x121601),f822(f822(f97(a885),x121602),x121601)))),
% 218.74/218.81 inference(scs_inference,[],[3561,4493,4494,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2981,2985,2986,2987,2989,2991,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,3263,3272,3779,4077,3163,3520,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,3772,11741,3309,3403,11564,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,4053,4012,3963,4007,3685,11691,4041,3702,11128,11199,11274,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,3327,10926,10989,3399,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,3476,10723,10992,11036,11245,11248,11325,11403,11568,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,11074,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,4187,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494,6495,6499,6501,6502,6503,6505,6507,6508,6509,6516,6523,6524,6525,6526,6532,6534,6577,6583,6599,6602,6603,6604,6638,6643,6646,6651,6652,6663,6666,6681,6707,6708,6709,6710,6721,6726,6744,6748,6770,6790,6803,6804,6805,6811,6825,6847,6849,6851,6853,6856,6857,6862,6864,6878,6883,6885,6923,6926,6927,6943,6944,6945,6946,6967,6968,6986,7013,7037,7048,7050,7051,7053,7055,7087,7088,7089,7092,7093,7095,7097,7098])).
% 218.74/218.81 cnf(12161,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x121611),x121611))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(12164,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x121641),x121641))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(12167,plain,
% 218.74/218.81 (P144(f822(f822(f227(a885),x121671),f822(a107,x121671)))),
% 218.74/218.81 inference(rename_variables,[],[3391])).
% 218.74/218.81 cnf(12174,plain,
% 218.74/218.81 (P144(f822(f822(f318(f892(x121741,a882)),x121742),f822(f297(x121741),x121742)))),
% 218.74/218.81 inference(rename_variables,[],[3685])).
% 218.74/218.81 cnf(12179,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x121791,a882)),x121792),f822(f822(f298(x121791),x121793),x121792)))),
% 218.74/218.81 inference(rename_variables,[],[3767])).
% 218.74/218.81 cnf(12186,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x121861),x121862),f182(f892(x121861,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(12195,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x121951,a882)),x121952),f233(f892(x121951,a882))))),
% 218.74/218.81 inference(rename_variables,[],[3702])).
% 218.74/218.81 cnf(12196,plain,
% 218.74/218.81 (~E(f822(a107,x121961),x121961)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(12202,plain,
% 218.74/218.81 (P144(f822(f822(f227(a885),x122021),f822(a107,x122021)))),
% 218.74/218.81 inference(rename_variables,[],[3391])).
% 218.74/218.81 cnf(12211,plain,
% 218.74/218.81 (P40(a25,x122111,x122112,x122111)),
% 218.74/218.81 inference(rename_variables,[],[3537])).
% 218.74/218.81 cnf(12213,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(x122131,x122131)),x122132),f145(x122131,f108(f892(x122131,a885)))))),
% 218.74/218.81 inference(scs_inference,[],[3537,3561,4493,4494,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2981,2984,2985,2986,2987,2989,2991,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,3263,3272,3779,4077,3163,3520,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,4053,4012,3963,4007,3685,11691,12025,4041,3702,11128,11199,11274,11336,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,3327,10926,10989,3399,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,3476,10723,10992,11036,11245,11248,11325,11403,11568,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,11074,12047,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,4187,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494,6495,6499,6501,6502,6503,6505,6507,6508,6509,6516,6523,6524,6525,6526,6532,6534,6577,6583,6599,6602,6603,6604,6638,6643,6646,6651,6652,6663,6666,6681,6707,6708,6709,6710,6721,6726,6744,6748,6770,6790,6803,6804,6805,6811,6825,6847,6849,6851,6853,6856,6857,6862,6864,6878,6883,6885,6923,6926,6927,6943,6944,6945,6946,6967,6968,6986,7013,7037,7048,7050,7051,7053,7055,7087,7088,7089,7092,7093,7095,7097,7098,7099,7128,7137,7138,7149,7159,7200,7210,7216,7224,7235,7240,7242,7249,7269,7286,7307,7309,7326,7331])).
% 218.74/218.81 cnf(12214,plain,
% 218.74/218.81 (E(f822(f273(x122141,x122141),f254(x122141,x122142)),x122142)),
% 218.74/218.81 inference(rename_variables,[],[3286])).
% 218.74/218.81 cnf(12227,plain,
% 218.74/218.81 (P144(f822(f60(x122271),f182(f892(x122271,a882))))),
% 218.74/218.81 inference(rename_variables,[],[3399])).
% 218.74/218.81 cnf(12228,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x122281),x122282),f182(f892(x122281,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(12231,plain,
% 218.74/218.81 (P40(a25,x122311,x122312,x122311)),
% 218.74/218.81 inference(rename_variables,[],[3537])).
% 218.74/218.81 cnf(12240,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x122401,a882)),f822(f164(x122401),f168(x122401,x122402,x122403))),f822(f164(x122401),x122402)))),
% 218.74/218.81 inference(rename_variables,[],[4007])).
% 218.74/218.81 cnf(12243,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x122431),x122431))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12246,plain,
% 218.74/218.81 (P26(x122461,x122461,f7(x122461),x122462)),
% 218.74/218.81 inference(rename_variables,[],[3561])).
% 218.74/218.81 cnf(12251,plain,
% 218.74/218.81 (P144(f822(f822(f318(f892(x122511,a882)),x122512),f822(f297(x122511),x122512)))),
% 218.74/218.81 inference(rename_variables,[],[3685])).
% 218.74/218.81 cnf(12258,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x122581),x122581))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12261,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x122611),x122612),f182(f892(x122611,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(12264,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x122641,a882)),x122642),f822(f822(f298(x122641),x122643),x122642)))),
% 218.74/218.81 inference(rename_variables,[],[3767])).
% 218.74/218.81 cnf(12265,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x122651,a882)),x122652),f233(f892(x122651,a882))))),
% 218.74/218.81 inference(rename_variables,[],[3702])).
% 218.74/218.81 cnf(12272,plain,
% 218.74/218.81 (P144(f822(f822(f227(a885),x122721),f822(a107,x122721)))),
% 218.74/218.81 inference(rename_variables,[],[3391])).
% 218.74/218.81 cnf(12275,plain,
% 218.74/218.81 (P144(f822(f822(f227(a885),x122751),f822(a107,x122751)))),
% 218.74/218.81 inference(rename_variables,[],[3391])).
% 218.74/218.81 cnf(12278,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x122781),x122781))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12281,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x122811),x122811))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12284,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x122841),x122841))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12287,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x122871),x122871))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12290,plain,
% 218.74/218.81 (P144(f822(f822(f276(a885),x122901),x122901))),
% 218.74/218.81 inference(rename_variables,[],[3327])).
% 218.74/218.81 cnf(12293,plain,
% 218.74/218.81 (P144(f822(f822(f276(a885),x122931),x122931))),
% 218.74/218.81 inference(rename_variables,[],[3327])).
% 218.74/218.81 cnf(12297,plain,
% 218.74/218.81 (~P144(f822(f822(f226(a1),f822(f822(f3(a1),a82),a92)),f2(a1)))),
% 218.74/218.81 inference(scs_inference,[],[3537,12211,3561,11189,4493,4494,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2981,2984,2985,2986,2987,2988,2989,2991,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,3263,3272,3779,4077,3163,3520,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,11864,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,4053,4012,3963,4007,11125,3685,11691,12025,12174,4041,3702,11128,11199,11274,11336,12195,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,3327,10926,10989,12290,3399,12227,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,3476,10723,10992,11036,11245,11248,11325,11403,11568,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,11074,12047,12179,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,4187,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494,6495,6499,6501,6502,6503,6505,6507,6508,6509,6516,6523,6524,6525,6526,6532,6534,6577,6583,6599,6602,6603,6604,6638,6643,6646,6651,6652,6663,6666,6681,6707,6708,6709,6710,6721,6726,6744,6748,6770,6790,6803,6804,6805,6811,6825,6847,6849,6851,6853,6856,6857,6862,6864,6878,6883,6885,6923,6926,6927,6943,6944,6945,6946,6967,6968,6986,7013,7037,7048,7050,7051,7053,7055,7087,7088,7089,7092,7093,7095,7097,7098,7099,7128,7137,7138,7149,7159,7200,7210,7216,7224,7235,7240,7242,7249,7269,7286,7307,7309,7326,7331,7388,7390,7391,7392,7399,7400,7406,7408,7474,7492,7506,7522,7523,7539,7571,7575,7598,7623,7641,7644,7645,7655,7674,7675,7677,7679,7681,7683,7684,7685,7736,7737])).
% 218.74/218.81 cnf(12300,plain,
% 218.74/218.81 (P144(f822(f822(f318(f892(x123001,a882)),x123002),f822(f297(x123001),x123002)))),
% 218.74/218.81 inference(rename_variables,[],[3685])).
% 218.74/218.81 cnf(12304,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a1),f822(f822(f79(a1),a82),a82)),f2(a1)))),
% 218.74/218.81 inference(scs_inference,[],[3537,12211,3561,11189,4493,4494,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2981,2984,2985,2986,2987,2988,2989,2991,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,3263,3272,3779,4077,3163,3520,3870,11505,3224,3186,3182,3170,3791,3380,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,11864,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,4053,4012,3963,4007,11125,3685,11691,12025,12174,12251,4041,3702,11128,11199,11274,11336,12195,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,3327,10926,10989,12290,3399,12227,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,3476,10723,10992,11036,11245,11248,11325,11403,11568,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,11074,12047,12179,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,4187,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494,6495,6499,6501,6502,6503,6505,6507,6508,6509,6516,6523,6524,6525,6526,6532,6534,6577,6583,6599,6602,6603,6604,6638,6643,6646,6651,6652,6663,6666,6681,6707,6708,6709,6710,6721,6726,6744,6748,6770,6790,6803,6804,6805,6811,6825,6847,6849,6851,6853,6856,6857,6862,6864,6878,6883,6885,6923,6926,6927,6943,6944,6945,6946,6967,6968,6986,7013,7037,7048,7050,7051,7053,7055,7087,7088,7089,7092,7093,7095,7097,7098,7099,7128,7137,7138,7149,7159,7200,7210,7216,7224,7235,7240,7242,7249,7269,7286,7307,7309,7326,7331,7388,7390,7391,7392,7399,7400,7406,7408,7474,7492,7506,7522,7523,7539,7571,7575,7598,7623,7641,7644,7645,7655,7674,7675,7677,7679,7681,7683,7684,7685,7736,7737,7769,7771,7772])).
% 218.74/218.81 cnf(12309,plain,
% 218.74/218.81 (~E(f822(a107,x123091),x123091)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(12310,plain,
% 218.74/218.81 (E(f822(f299(x123101,x123101,f7(x123101)),x123102),x123102)),
% 218.74/218.81 inference(rename_variables,[],[3380])).
% 218.74/218.81 cnf(12313,plain,
% 218.74/218.81 (P31(x123131,x123132,f108(x123131),f108(x123131))),
% 218.74/218.81 inference(rename_variables,[],[3569])).
% 218.74/218.81 cnf(12316,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x123161,a882)),f822(f164(x123161),f168(x123161,x123162,x123163))),f822(f164(x123161),x123162)))),
% 218.74/218.81 inference(rename_variables,[],[4007])).
% 218.74/218.81 cnf(12317,plain,
% 218.74/218.81 (P144(f822(f60(x123171),f822(f164(x123171),x123172)))),
% 218.74/218.81 inference(rename_variables,[],[3365])).
% 218.74/218.81 cnf(12328,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x123281),x123281))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(12331,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x123311),x123311))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(12340,plain,
% 218.74/218.81 (P15(a885,f822(f160(a885),f822(f822(f146(f887(x123401),a885),f183(f887(x123401))),f171(x123401,x123402))))),
% 218.74/218.81 inference(rename_variables,[],[3880])).
% 218.74/218.81 cnf(12343,plain,
% 218.74/218.81 (P26(x123431,x123431,f7(x123431),x123432)),
% 218.74/218.81 inference(rename_variables,[],[3561])).
% 218.74/218.81 cnf(12346,plain,
% 218.74/218.81 (P144(f822(f822(f318(f887(x123461)),f108(x123461)),f153(x123461,x123462)))),
% 218.74/218.81 inference(rename_variables,[],[3518])).
% 218.74/218.81 cnf(12349,plain,
% 218.74/218.81 (~P144(f822(f822(f182(f892(x123491,f892(x123492,a882))),x123493),x123494))),
% 218.74/218.81 inference(rename_variables,[],[4542])).
% 218.74/218.81 cnf(12351,plain,
% 218.74/218.81 (P144(f822(f822(f227(f892(x123511,a882)),f822(a107,f233(f892(x123511,a882)))),f822(f822(f298(x123511),x123512),f233(f892(x123511,a882)))))),
% 218.74/218.81 inference(scs_inference,[],[3537,12211,3561,11189,12246,3569,4493,4494,4492,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2981,2984,2985,2986,2987,2988,2989,2991,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,3263,3272,3779,4077,3163,3520,3870,11505,3224,3186,3182,3170,3791,3205,3380,10936,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3880,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,11864,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,4053,4012,3963,4007,11125,12240,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,3327,10926,10989,12290,3399,12227,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,11074,12047,12179,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,10662,4187,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494,6495,6499,6501,6502,6503,6505,6507,6508,6509,6516,6523,6524,6525,6526,6532,6534,6577,6583,6599,6602,6603,6604,6638,6643,6646,6651,6652,6663,6666,6681,6707,6708,6709,6710,6721,6726,6744,6748,6770,6790,6803,6804,6805,6811,6825,6847,6849,6851,6853,6856,6857,6862,6864,6878,6883,6885,6923,6926,6927,6943,6944,6945,6946,6967,6968,6986,7013,7037,7048,7050,7051,7053,7055,7087,7088,7089,7092,7093,7095,7097,7098,7099,7128,7137,7138,7149,7159,7200,7210,7216,7224,7235,7240,7242,7249,7269,7286,7307,7309,7326,7331,7388,7390,7391,7392,7399,7400,7406,7408,7474,7492,7506,7522,7523,7539,7571,7575,7598,7623,7641,7644,7645,7655,7674,7675,7677,7679,7681,7683,7684,7685,7736,7737,7769,7771,7772,7773,7779,7800,7817,7822,7828,7830,7838,7850,7851,7853,7881,7907,7974,7975,8025,8031,8032])).
% 218.74/218.81 cnf(12354,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x123541),x123541))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12355,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),f2(a885)),x123551))),
% 218.74/218.81 inference(rename_variables,[],[3346])).
% 218.74/218.81 cnf(12357,plain,
% 218.74/218.81 (P144(f822(f822(f226(a1),f2(a1)),f627(x123571,f182(f892(x123572,f892(x123573,a882))),f77(a1))))),
% 218.74/218.81 inference(scs_inference,[],[3537,12211,3561,11189,12246,3569,4493,4494,4492,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2981,2984,2985,2986,2987,2988,2989,2991,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,3263,3272,3779,4077,3163,3520,3870,11505,3224,3186,3182,3170,3791,3205,3380,10936,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,3684,4359,4360,4481,3621,3834,3880,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,11864,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,4053,4012,3963,4007,11125,12240,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,12287,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,3327,10926,10989,12290,3399,12227,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,11925,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,11074,12047,12179,3617,11182,3769,10790,11147,11296,11330,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,10662,12349,4187,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,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% 218.74/218.81 cnf(12358,plain,
% 218.74/218.81 (~P144(f822(f822(f182(f892(x123581,f892(x123582,a882))),x123583),x123584))),
% 218.74/218.81 inference(rename_variables,[],[4542])).
% 218.74/218.81 cnf(12361,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(f891(f887(x123611),f887(x123611)),a882)),f150(x123611,x123612)),f296(f887(x123611),f149(x123611,x123612))))),
% 218.74/218.81 inference(rename_variables,[],[4012])).
% 218.74/218.81 cnf(12367,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x123671,a882)),f822(f299(x123672,x123671,x123673),f822(f300(x123672,x123671,x123673),x123674))),x123674))),
% 218.74/218.81 inference(rename_variables,[],[4187])).
% 218.74/218.81 cnf(12370,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x123701,a882)),f182(f892(x123701,a882))),x123702))),
% 218.74/218.81 inference(rename_variables,[],[3769])).
% 218.74/218.81 cnf(12373,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x123731,a882)),f822(f299(x123732,x123731,x123733),f822(f300(x123732,x123731,x123733),x123734))),x123734))),
% 218.74/218.81 inference(rename_variables,[],[4187])).
% 218.74/218.81 cnf(12376,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x123761,a882)),f822(f164(x123761),f168(x123761,x123762,x123763))),f822(f164(x123761),x123762)))),
% 218.74/218.81 inference(rename_variables,[],[4007])).
% 218.74/218.81 cnf(12377,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x123771,a882)),f822(f164(x123771),f822(f128(x123771,x123772),x123773))),f822(f164(x123771),x123773)))),
% 218.74/218.81 inference(rename_variables,[],[3963])).
% 218.74/218.81 cnf(12385,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x123851,a882)),f822(f299(x123852,x123851,x123853),f822(f300(x123852,x123851,x123853),x123854))),x123854))),
% 218.74/218.81 inference(rename_variables,[],[4187])).
% 218.74/218.81 cnf(12390,plain,
% 218.74/218.81 (P144(f822(f822(f318(f887(x123901)),f108(x123901)),f153(x123901,x123902)))),
% 218.74/218.81 inference(rename_variables,[],[3518])).
% 218.74/218.81 cnf(12393,plain,
% 218.74/218.81 (~P144(f822(f822(f318(f891(f887(x123931),f887(x123931))),f822(f822(f243(f887(x123931),f887(x123931)),x123932),f108(x123931))),f137(x123931,x123933)))),
% 218.74/218.81 inference(rename_variables,[],[4544])).
% 218.74/218.81 cnf(12396,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x123961),f2(a885)))),
% 218.74/218.81 inference(rename_variables,[],[4519])).
% 218.74/218.81 cnf(12398,plain,
% 218.74/218.81 (~P144(f822(f60(x123981),f233(f892(x123981,a882))))),
% 218.74/218.81 inference(scs_inference,[],[3537,12211,3561,11189,12246,3569,3577,3296,4493,4494,3195,3198,4492,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2972,2981,2984,2985,2986,2987,2988,2989,2991,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,3263,3272,3779,4077,3163,3520,3870,11505,3224,3186,3182,3170,3791,3205,3380,10936,3256,3952,4483,10368,10531,3316,11842,4526,11102,11194,11420,11423,3311,3427,3220,3221,10438,10757,3480,3141,3244,11495,4091,3954,11122,11242,11299,4544,11039,11255,11364,11387,11428,11434,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,12346,12390,3684,4359,4360,4481,3621,3834,3880,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3511,4533,4084,11384,3642,3365,11861,11864,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,4053,4012,12015,12361,3963,4007,11125,12240,12316,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,12287,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,3327,10926,10989,12290,3399,12227,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,3384,10754,10784,10793,10796,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,11925,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,3921,11448,11796,3767,11055,11061,11074,12047,12179,3617,11182,11290,3769,10790,11147,11296,11330,11341,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,10662,12349,4187,10929,12367,12373,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494,6495,6499,6501,6502,6503,6505,6507,6508,6509,6516,6523,6524,6525,6526,6532,6534,6577,6583,6599,6602,6603,6604,6638,6643,6646,6651,6652,6663,6666,6681,6707,6708,6709,6710,6721,6726,6744,6748,6770,6790,6803,6804,6805,6811,6825,6847,6849,6851,6853,6856,6857,6862,6864,6878,6883,6885,6923,6926,6927,6943,6944,6945,6946,6967,6968,6986,7013,7037,7048,7050,7051,7053,7055,7087,7088,7089,7092,7093,7095,7097,7098,7099,7128,7137,7138,7149,7159,7200,7210,7216,7224,7235,7240,7242,7249,7269,7286,7307,7309,7326,7331,7388,7390,7391,7392,7399,7400,7406,7408,7474,7492,7506,7522,7523,7539,7571,7575,7598,7623,7641,7644,7645,7655,7674,7675,7677,7679,7681,7683,7684,7685,7736,7737,7769,7771,7772,7773,7779,7800,7817,7822,7828,7830,7838,7850,7851,7853,7881,7907,7974,7975,8025,8031,8032,8055,8056,8075,8076,8077,8136,8137,8138,8164,8199,8204,8218,8232,8261,8265,8271])).
% 218.74/218.81 cnf(12399,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x123991,a882)),x123992),x123992))),
% 218.74/218.81 inference(rename_variables,[],[3617])).
% 218.74/218.81 cnf(12402,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x124021),x124022),f182(f892(x124021,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(12405,plain,
% 218.74/218.81 (~P144(f822(f822(f182(f892(x124051,f892(x124052,a882))),x124053),x124054))),
% 218.74/218.81 inference(rename_variables,[],[4542])).
% 218.74/218.81 cnf(12408,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x124081,a882)),f822(f299(x124082,x124081,x124083),f822(f300(x124082,x124081,x124083),x124084))),x124084))),
% 218.74/218.81 inference(rename_variables,[],[4187])).
% 218.74/218.81 cnf(12409,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x124091,a882)),x124092),x124092))),
% 218.74/218.81 inference(rename_variables,[],[3617])).
% 218.74/218.81 cnf(12414,plain,
% 218.74/218.81 (E(f822(f273(x124141,x124141),f254(x124141,x124142)),x124142)),
% 218.74/218.81 inference(rename_variables,[],[3286])).
% 218.74/218.81 cnf(12417,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x124171,a882)),f822(f164(x124171),f168(x124171,x124172,x124173))),f822(f164(x124171),x124172)))),
% 218.74/218.81 inference(rename_variables,[],[4007])).
% 218.74/218.81 cnf(12418,plain,
% 218.74/218.81 (P144(f822(f60(x124181),f822(f164(x124181),x124182)))),
% 218.74/218.81 inference(rename_variables,[],[3365])).
% 218.74/218.81 cnf(12421,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x124211),x124211))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12424,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x124241),x124241))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(12427,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x124271),x124271))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(12438,plain,
% 218.74/218.81 (P26(x124381,x124381,f7(x124381),x124382)),
% 218.74/218.81 inference(rename_variables,[],[3561])).
% 218.74/218.81 cnf(12443,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x124431),x124432),f182(f892(x124431,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(12446,plain,
% 218.74/218.81 (P144(f822(f822(f318(f891(x124461,x124461)),f822(f822(f243(x124461,x124461),x124462),x124462)),f296(x124461,x124463)))),
% 218.74/218.81 inference(rename_variables,[],[3954])).
% 218.74/218.81 cnf(12449,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x124491),x124492),f182(f892(x124491,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(12452,plain,
% 218.74/218.81 (P144(f822(f822(f318(f891(x124521,x124521)),f822(f822(f243(x124521,x124521),x124522),x124522)),f296(x124521,x124523)))),
% 218.74/218.81 inference(rename_variables,[],[3954])).
% 218.74/218.81 cnf(12462,plain,
% 218.74/218.81 (~E(f822(f822(f143(x124621),x124622),x124623),x124623)),
% 218.74/218.81 inference(rename_variables,[],[4483])).
% 218.74/218.81 cnf(12465,plain,
% 218.74/218.81 (P144(f822(f822(f318(x124651),x124652),f233(f892(x124651,a882))))),
% 218.74/218.81 inference(rename_variables,[],[3476])).
% 218.74/218.81 cnf(12466,plain,
% 218.74/218.81 (~E(f822(a107,x124661),x124661)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(12469,plain,
% 218.74/218.81 (P144(f822(f822(f318(f887(x124691)),f108(x124691)),f153(x124691,x124692)))),
% 218.74/218.81 inference(rename_variables,[],[3518])).
% 218.74/218.81 cnf(12470,plain,
% 218.74/218.81 (~E(f822(f822(f143(x124701),x124702),x124703),f108(x124701))),
% 218.74/218.81 inference(rename_variables,[],[4490])).
% 218.74/218.81 cnf(12473,plain,
% 218.74/218.81 (P26(x124731,x124731,f7(x124731),x124732)),
% 218.74/218.81 inference(rename_variables,[],[3561])).
% 218.74/218.81 cnf(12476,plain,
% 218.74/218.81 (P144(f822(f822(f318(x124761),f822(x124762,x124763)),f822(f299(x124764,x124761,x124762),f233(f892(x124764,a882)))))),
% 218.74/218.81 inference(rename_variables,[],[3921])).
% 218.74/218.81 cnf(12477,plain,
% 218.74/218.81 (P26(x124771,x124771,f7(x124771),x124772)),
% 218.74/218.81 inference(rename_variables,[],[3561])).
% 218.74/218.81 cnf(12480,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x124801,a882)),f182(f892(x124801,a882))),x124802))),
% 218.74/218.81 inference(rename_variables,[],[3769])).
% 218.74/218.81 cnf(12481,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x124811,a882)),x124812),x124812))),
% 218.74/218.81 inference(rename_variables,[],[3617])).
% 218.74/218.81 cnf(12484,plain,
% 218.74/218.81 (P144(f822(f822(f318(x124841),f822(x124842,x124843)),f822(f299(x124844,x124841,x124842),f233(f892(x124844,a882)))))),
% 218.74/218.81 inference(rename_variables,[],[3921])).
% 218.74/218.81 cnf(12485,plain,
% 218.74/218.81 (P26(x124851,x124851,f7(x124851),x124852)),
% 218.74/218.81 inference(rename_variables,[],[3561])).
% 218.74/218.81 cnf(12488,plain,
% 218.74/218.81 (P144(f822(f822(f318(f891(f887(x124881),f887(x124881))),f822(f822(f243(f887(x124881),f887(x124881)),f108(x124881)),f108(x124881))),f150(x124881,x124882)))),
% 218.74/218.81 inference(rename_variables,[],[4091])).
% 218.74/218.81 cnf(12492,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x124921),f2(a885)))),
% 218.74/218.81 inference(rename_variables,[],[4519])).
% 218.74/218.81 cnf(12498,plain,
% 218.74/218.81 (P26(x124981,x124981,f7(x124981),x124982)),
% 218.74/218.81 inference(rename_variables,[],[3561])).
% 218.74/218.81 cnf(12501,plain,
% 218.74/218.81 (E(f822(f822(f126(x125011),x125012),f108(x125011)),x125012)),
% 218.74/218.81 inference(rename_variables,[],[3257])).
% 218.74/218.81 cnf(12502,plain,
% 218.74/218.81 (~E(f822(f822(f143(x125021),x125022),x125023),x125023)),
% 218.74/218.81 inference(rename_variables,[],[4483])).
% 218.74/218.81 cnf(12505,plain,
% 218.74/218.81 (E(f822(f822(f126(x125051),x125052),f108(x125051)),x125052)),
% 218.74/218.81 inference(rename_variables,[],[3257])).
% 218.74/218.81 cnf(12506,plain,
% 218.74/218.81 (~E(f822(f822(f143(x125061),x125062),x125063),x125063)),
% 218.74/218.81 inference(rename_variables,[],[4483])).
% 218.74/218.81 cnf(12509,plain,
% 218.74/218.81 (E(f822(f822(f126(x125091),x125092),f108(x125091)),x125092)),
% 218.74/218.81 inference(rename_variables,[],[3257])).
% 218.74/218.81 cnf(12516,plain,
% 218.74/218.81 (P53(x125161,f254(x125161,x125162))),
% 218.74/218.81 inference(rename_variables,[],[3199])).
% 218.74/218.81 cnf(12519,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x125191,a882)),f822(f164(x125191),f822(f128(x125191,x125192),x125193))),f822(f164(x125191),x125193)))),
% 218.74/218.81 inference(rename_variables,[],[3963])).
% 218.74/218.81 cnf(12520,plain,
% 218.74/218.81 (E(f822(f299(x125201,x125201,f7(x125201)),x125202),x125202)),
% 218.74/218.81 inference(rename_variables,[],[3380])).
% 218.74/218.81 cnf(12525,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x125251,a882)),x125252),f233(f892(x125251,a882))))),
% 218.74/218.81 inference(rename_variables,[],[3702])).
% 218.74/218.81 cnf(12529,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x125291),x125291))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(12530,plain,
% 218.74/218.81 (~E(f822(a107,x125301),x125301)),
% 218.74/218.81 inference(rename_variables,[],[4464])).
% 218.74/218.81 cnf(12533,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x125331,a882)),f182(f892(x125331,a882))),x125332))),
% 218.74/218.81 inference(rename_variables,[],[3769])).
% 218.74/218.81 cnf(12536,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x125361),x125361))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12539,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x125391,a882)),x125392),x125392))),
% 218.74/218.81 inference(rename_variables,[],[3617])).
% 218.74/218.81 cnf(12544,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x125441,a882)),x125442),f822(f822(f298(x125441),x125443),x125442)))),
% 218.74/218.81 inference(rename_variables,[],[3767])).
% 218.74/218.81 cnf(12547,plain,
% 218.74/218.81 (P144(f822(f822(f226(f892(x125471,a882)),x125472),x125472))),
% 218.74/218.81 inference(rename_variables,[],[3617])).
% 218.74/218.81 cnf(12548,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x125481),x125482),f182(f892(x125481,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(12551,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x125511),x125512),f182(f892(x125511,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(12560,plain,
% 218.74/218.81 (P26(x125601,x125601,f7(x125601),x125602)),
% 218.74/218.81 inference(rename_variables,[],[3561])).
% 218.74/218.81 cnf(12563,plain,
% 218.74/218.81 (E(f822(f183(f887(x125631)),f161(x125631,x125632,x125633)),x125632)),
% 218.74/218.81 inference(rename_variables,[],[3390])).
% 218.74/218.81 cnf(12566,plain,
% 218.74/218.81 (~P144(f822(f822(f227(a885),x125661),x125661))),
% 218.74/218.81 inference(rename_variables,[],[4515])).
% 218.74/218.81 cnf(12567,plain,
% 218.74/218.81 (P144(f822(f233(f892(x125671,a882)),x125672))),
% 218.74/218.81 inference(rename_variables,[],[3384])).
% 218.74/218.81 cnf(12570,plain,
% 218.74/218.81 (~P144(f822(f822(f318(x125701),x125702),f182(f892(x125701,a882))))),
% 218.74/218.81 inference(rename_variables,[],[4528])).
% 218.74/218.81 cnf(12573,plain,
% 218.74/218.81 (P144(f822(f822(f318(x125731),f822(x125732,x125733)),f822(f299(x125734,x125731,x125732),f233(f892(x125734,a882)))))),
% 218.74/218.81 inference(rename_variables,[],[3921])).
% 218.74/218.81 cnf(12574,plain,
% 218.74/218.81 (P144(f822(f822(f318(f891(x125741,x125741)),f822(f822(f243(x125741,x125741),x125742),x125742)),f296(x125741,x125743)))),
% 218.74/218.81 inference(rename_variables,[],[3954])).
% 218.74/218.81 cnf(12577,plain,
% 218.74/218.81 (P144(f822(f822(f318(f891(x125771,x125771)),f822(f822(f243(x125771,x125771),x125772),x125772)),f296(x125771,x125773)))),
% 218.74/218.81 inference(rename_variables,[],[3954])).
% 218.74/218.81 cnf(12580,plain,
% 218.74/218.81 (P144(f822(f822(f226(a885),x125801),x125801))),
% 218.74/218.81 inference(rename_variables,[],[3325])).
% 218.74/218.81 cnf(12581,plain,
% 218.74/218.81 (P144(f822(f233(f892(x125811,a882)),x125812))),
% 218.74/218.82 inference(rename_variables,[],[3384])).
% 218.74/218.82 cnf(12584,plain,
% 218.74/218.82 (P144(f822(f60(x125841),f822(f164(x125841),x125842)))),
% 218.74/218.82 inference(rename_variables,[],[3365])).
% 218.74/218.82 cnf(12589,plain,
% 218.74/218.82 (P144(f822(f822(f318(f891(f887(x125891),f887(x125891))),f822(f822(f243(f887(x125891),f887(x125891)),f108(x125891)),f108(x125891))),f822(f822(f278(f887(x125891),f887(x125891),f887(x125891)),f150(x125891,x125892)),f150(x125891,x125892))))),
% 218.74/218.82 inference(scs_inference,[],[3537,12211,3561,11189,12246,12343,12438,12473,12477,12485,12498,3569,3577,3296,4493,4494,3195,3198,3199,4492,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,12309,12466,3379,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2972,2981,2984,2985,2986,2987,2988,2989,2991,2992,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,12214,3257,12501,12505,12509,3263,3272,3779,4077,3390,3163,3520,3870,11505,3224,3186,3182,3170,3791,3205,3380,10936,12310,12520,3256,3952,4483,10368,10531,11370,12462,12502,4490,12470,3316,11842,4526,11102,11194,11420,11423,3311,3427,4504,3220,3221,10438,10757,3480,3141,3244,11495,4091,12488,3954,11122,11242,11299,12446,12452,12574,4544,11039,11255,11364,11387,11428,11434,12393,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,12346,12390,12469,3684,3469,4359,4360,4481,11488,3621,3834,3880,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,12275,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,12396,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3710,3511,4533,4084,11384,3642,3365,11861,11864,12317,12418,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,11932,4053,4012,12015,12361,3963,12377,4007,11125,12240,12316,12376,12417,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,12265,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,12287,12354,12421,12536,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,3327,10926,10989,12290,3399,12227,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,12331,12424,12427,12529,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,12261,12402,12443,12449,12548,12551,3384,10754,10784,10793,10796,11356,12567,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,11925,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,11451,3921,11448,11796,11800,12476,12484,3767,11055,11061,11074,12047,12179,12264,3617,11182,11290,12399,12409,12481,12539,3769,10790,11147,11296,11330,11341,12370,12480,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,10662,12349,12358,4187,10929,12367,12373,12385,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,862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% 218.74/218.82 cnf(12591,plain,
% 218.74/218.82 (P144(f822(f822(f318(f891(x125911,x125911)),f822(f822(f243(x125911,x125911),x125912),x125912)),f822(f822(f278(x125911,x125911,x125911),f296(x125911,x125913)),f296(x125911,f296(x125911,x125913)))))),
% 218.74/218.82 inference(scs_inference,[],[3537,12211,3561,11189,12246,12343,12438,12473,12477,12485,12498,3569,3577,3296,4493,4494,3195,3198,3199,4492,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,12309,12466,3379,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2972,2981,2984,2985,2986,2987,2988,2989,2991,2992,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,12214,3257,12501,12505,12509,3263,3272,3779,4077,3390,3163,3520,3870,11505,3224,3186,3182,3170,3791,3205,3380,10936,12310,12520,3256,3952,4483,10368,10531,11370,12462,12502,4490,12470,3316,11842,4526,11102,11194,11420,11423,3311,3427,4504,3220,3221,10438,10757,3480,3141,3244,11495,4091,12488,3954,11122,11242,11299,12446,12452,12574,12577,4544,11039,11255,11364,11387,11428,11434,12393,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,12346,12390,12469,3684,3469,4359,4360,4481,11488,3621,3834,3880,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,12275,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,12396,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3710,3511,4533,4084,11384,3642,3365,11861,11864,12317,12418,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,11932,4053,4012,12015,12361,3963,12377,4007,11125,12240,12316,12376,12417,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,12265,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,12287,12354,12421,12536,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,3327,10926,10989,12290,3399,12227,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,12331,12424,12427,12529,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,12261,12402,12443,12449,12548,12551,3384,10754,10784,10793,10796,11356,12567,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,11925,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,11451,3921,11448,11796,11800,12476,12484,3767,11055,11061,11074,12047,12179,12264,3617,11182,11290,12399,12409,12481,12539,3769,10790,11147,11296,11330,11341,12370,12480,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,10662,12349,12358,4187,10929,12367,12373,12385,4095,3800,3745,4539,10390,10393,10742,10745,11604,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494,6495,6499,6501,6502,6503,6505,6507,6508,6509,6516,6523,6524,6525,6526,6532,6534,6577,6583,6599,6602,6603,6604,6638,6643,6646,6651,6652,6663,6666,6681,6707,6708,6709,6710,6721,6726,6744,6748,6770,6790,6803,6804,6805,6811,6825,6847,6849,6851,6853,6856,6857,6862,6864,6878,6883,6885,6923,6926,6927,6943,6944,6945,6946,6967,6968,6986,7013,7037,7048,7050,7051,7053,7055,7087,7088,7089,7092,7093,7095,7097,7098,7099,7128,7137,7138,7149,7159,7200,7210,7216,7224,7235,7240,7242,7249,7269,7286,7307,7309,7326,7331,7388,7390,7391,7392,7399,7400,7406,7408,7474,7492,7506,7522,7523,7539,7571,7575,7598,7623,7641,7644,7645,7655,7674,7675,7677,7679,7681,7683,7684,7685,7736,7737,7769,7771,7772,7773,7779,7800,7817,7822,7828,7830,7838,7850,7851,7853,7881,7907,7974,7975,8025,8031,8032,8055,8056,8075,8076,8077,8136,8137,8138,8164,8199,8204,8218,8232,8261,8265,8271,8283,8301,8306,8328,8373,8401,8413,8432,8435,8461,8485,8543,8544,8547,8548,8651,8652,8653,8654,8678,8707,8734,8776,8794,8835,8851,8895,8898,8911,8918,8960,8978,8997,8998,9015,9016,9029,9145,9150,9155,9174,9195,9219,9221,9224,9230,9232,9233,9244,9245,9264,9271,9281,9330,9347,9400,9401,9407,9469,9473,9513,9526])).
% 218.74/218.82 cnf(12594,plain,
% 218.74/218.82 (~P144(f822(f822(f182(f892(x125941,f892(x125942,a882))),x125943),x125944))),
% 218.74/218.82 inference(rename_variables,[],[4542])).
% 218.74/218.82 cnf(12600,plain,
% 218.74/218.82 (P144(f822(f822(f226(f892(x126001,a882)),x126002),f233(f892(x126001,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3702])).
% 218.74/218.82 cnf(12603,plain,
% 218.74/218.82 (P144(f822(f822(f318(f891(x126031,x126031)),f822(f822(f243(x126031,x126031),x126032),x126032)),f296(x126031,x126033)))),
% 218.74/218.82 inference(rename_variables,[],[3954])).
% 218.74/218.82 cnf(12606,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a885),f822(f822(f79(a885),x126061),x126062)),x126062))),
% 218.74/218.82 inference(rename_variables,[],[4539])).
% 218.74/218.82 cnf(12607,plain,
% 218.74/218.82 (P144(f822(f822(f227(a885),x126071),f822(a107,x126071)))),
% 218.74/218.82 inference(rename_variables,[],[3391])).
% 218.74/218.82 cnf(12610,plain,
% 218.74/218.82 (P144(f822(f822(f226(f892(x126101,a882)),x126102),f233(f892(x126101,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3702])).
% 218.74/218.82 cnf(12613,plain,
% 218.74/218.82 (E(f822(f273(x126131,x126131),f254(x126131,x126132)),x126132)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(12620,plain,
% 218.74/218.82 (P144(f822(f822(f318(f891(f891(f887(x126201),f887(x126201)),f891(f887(x126201),f887(x126201)))),f552(f296(f891(f887(x126201),f887(x126201)),x126202),f137(x126201,x126203),f891(f887(x126201),f887(x126201)))),f296(f891(f887(x126201),f887(x126201)),x126202)))),
% 218.74/218.82 inference(scs_inference,[],[3537,12211,3561,11189,12246,12343,12438,12473,12477,12485,12498,3569,3577,3296,4493,4494,3195,3198,3199,4492,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,12309,12466,3379,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2972,2981,2984,2985,2986,2987,2988,2989,2991,2992,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3657,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,12214,12414,3257,12501,12505,12509,3263,3272,3779,4077,3390,3163,3520,3870,11505,3224,3186,3182,3170,3791,3205,3380,10936,12310,12520,3256,3952,4483,10368,10531,11370,12462,12502,4490,12470,3316,11842,4526,11102,11194,11420,11423,3311,3427,4504,3220,3221,10438,10757,3480,3141,3244,11495,4091,12488,3954,11122,11242,11299,12446,12452,12574,12577,12603,4544,11039,11255,11364,11387,11428,11434,12393,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,12346,12390,12469,3684,3469,4359,4360,4481,11488,3621,3834,3880,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,12275,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,12396,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3710,3511,4533,4084,11384,3642,3365,11861,11864,12317,12418,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,11932,4053,4012,12015,12361,3963,12377,4007,11125,12240,12316,12376,12417,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,12265,12525,12600,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,12287,12354,12421,12536,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,3327,10926,10989,12290,3399,12227,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,12331,12424,12427,12529,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,12261,12402,12443,12449,12548,12551,3384,10754,10784,10793,10796,11356,12567,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,11925,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,11451,3921,11448,11796,11800,12476,12484,3767,11055,11061,11074,12047,12179,12264,3617,11182,11290,12399,12409,12481,12539,4089,3769,10790,11147,11296,11330,11341,12370,12480,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,10662,12349,12358,12405,12594,4187,10929,12367,12373,12385,4095,3800,3745,4539,10390,10393,10742,10745,11604,11797,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494,6495,6499,6501,6502,6503,6505,6507,6508,6509,6516,6523,6524,6525,6526,6532,6534,6577,6583,6599,6602,6603,6604,6638,6643,6646,6651,6652,6663,6666,6681,6707,6708,6709,6710,6721,6726,6744,6748,6770,6790,6803,6804,6805,6811,6825,6847,6849,6851,6853,6856,6857,6862,6864,6878,6883,6885,6923,6926,6927,6943,6944,6945,6946,6967,6968,6986,7013,7037,7048,7050,7051,7053,7055,7087,7088,7089,7092,7093,7095,7097,7098,7099,7128,7137,7138,7149,7159,7200,7210,7216,7224,7235,7240,7242,7249,7269,7286,7307,7309,7326,7331,7388,7390,7391,7392,7399,7400,7406,7408,7474,7492,7506,7522,7523,7539,7571,7575,7598,7623,7641,7644,7645,7655,7674,7675,7677,7679,7681,7683,7684,7685,7736,7737,7769,7771,7772,7773,7779,7800,7817,7822,7828,7830,7838,7850,7851,7853,7881,7907,7974,7975,8025,8031,8032,8055,8056,8075,8076,8077,8136,8137,8138,8164,8199,8204,8218,8232,8261,8265,8271,8283,8301,8306,8328,8373,8401,8413,8432,8435,8461,8485,8543,8544,8547,8548,8651,8652,8653,8654,8678,8707,8734,8776,8794,8835,8851,8895,8898,8911,8918,8960,8978,8997,8998,9015,9016,9029,9145,9150,9155,9174,9195,9219,9221,9224,9230,9232,9233,9244,9245,9264,9271,9281,9330,9347,9400,9401,9407,9469,9473,9513,9526,9530,9531,9535,9536,9549,9571,9583,9591,9592,9594])).
% 218.74/218.82 cnf(12624,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x126241),x126242),f182(f892(x126241,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(12625,plain,
% 218.74/218.82 (P144(f822(f822(f318(f891(f887(x126251),f887(x126251))),f822(f822(f243(f887(x126251),f887(x126251)),f108(x126251)),f108(x126251))),f150(x126251,x126252)))),
% 218.74/218.82 inference(rename_variables,[],[4091])).
% 218.74/218.82 cnf(12627,plain,
% 218.74/218.82 (P144(f822(f822(f318(f891(a885,a885)),f822(f822(f243(a885,a885),f2(a885)),f822(a107,f2(a885)))),f822(f822(f278(a885,a885,a885),f296(a885,a306)),f296(a885,f296(a885,a306)))))),
% 218.74/218.82 inference(scs_inference,[],[3537,12211,3561,11189,12246,12343,12438,12473,12477,12485,12498,3569,3577,3296,4493,4494,3195,3198,3199,4492,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,12309,12466,3379,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2972,2981,2984,2985,2986,2987,2988,2989,2991,2992,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3657,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,12214,12414,3257,12501,12505,12509,3263,3272,3779,4077,3390,3163,3520,3870,11505,3224,3186,3182,3170,3791,3205,3380,10936,12310,12520,3256,3952,4483,10368,10531,11370,12462,12502,4490,12470,3316,11842,4526,11102,11194,11420,11423,3311,3427,4504,3220,3221,10438,10757,3480,3141,3244,11495,4091,12488,3954,11122,11242,11299,12446,12452,12574,12577,12603,4544,11039,11255,11364,11387,11428,11434,12393,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,12346,12390,12469,3684,3469,4359,4360,4481,11488,3621,3834,3880,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,12275,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,12396,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3710,3511,4533,4084,11384,3642,3365,11861,11864,12317,12418,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,11932,4053,4012,12015,12361,3963,12377,4007,11125,12240,12316,12376,12417,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,12265,12525,12600,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,12287,12354,12421,12536,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,3327,10926,10989,12290,3399,12227,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,12331,12424,12427,12529,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,12261,12402,12443,12449,12548,12551,12570,3384,10754,10784,10793,10796,11356,12567,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,11925,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,4538,10656,10659,4543,11111,11114,11287,11411,11451,3921,11448,11796,11800,12476,12484,3767,11055,11061,11074,12047,12179,12264,3617,11182,11290,12399,12409,12481,12539,4089,3769,10790,11147,11296,11330,11341,12370,12480,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,10662,12349,12358,12405,12594,4187,10929,12367,12373,12385,4095,3800,3745,4539,10390,10393,10742,10745,11604,11797,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563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% 218.74/218.82 cnf(12630,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x126301),x126302),f182(f892(x126301,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(12635,plain,
% 218.74/218.82 (P30(x126351,x126352,f108(x126351))),
% 218.74/218.82 inference(rename_variables,[],[3262])).
% 218.74/218.82 cnf(12638,plain,
% 218.74/218.82 (E(f822(f183(f887(x126381)),f161(x126381,x126382,x126383)),x126382)),
% 218.74/218.82 inference(rename_variables,[],[3390])).
% 218.74/218.82 cnf(12641,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x126411),x126412),f182(f892(x126411,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(12647,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a885),x126471),x126471))),
% 218.74/218.82 inference(rename_variables,[],[4515])).
% 218.74/218.82 cnf(12649,plain,
% 218.74/218.82 (P144(f822(f822(f318(f891(f887(x126491),f887(x126491))),f822(f822(f243(f887(x126491),f887(x126491)),f161(x126491,f822(f183(f887(x126491)),x126492),x126493)),x126492)),f150(x126491,f233(f892(f891(x126491,x126491),a882)))))),
% 218.74/218.82 inference(scs_inference,[],[3537,12211,3561,11189,12246,12343,12438,12473,12477,12485,12498,3569,3577,3296,3262,4493,4494,3195,3198,3199,4492,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,12309,12466,3379,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2972,2981,2984,2985,2986,2987,2988,2989,2991,2992,2995,2999,3028,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,3122,4461,3657,3884,11755,3173,11459,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,12214,12414,3257,12501,12505,12509,3263,3272,3779,4077,3390,12563,12638,3163,3520,3870,11505,3224,3186,3182,3170,3791,3205,3380,10936,12310,12520,3256,3952,4483,10368,10531,11370,12462,12502,4490,12470,3316,11842,4526,11102,11194,11420,11423,3311,3427,4504,3220,3221,10438,10757,3480,3141,3244,11495,4091,12488,12625,3954,11122,11242,11299,12446,12452,12574,12577,12603,4544,11039,11255,11364,11387,11428,11434,12393,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,12346,12390,12469,3684,3469,4359,4360,4481,11488,3621,3834,3880,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,12275,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,12396,4532,11607,11638,11680,11687,11721,3759,3528,3903,3352,3354,3328,4516,4478,3710,3511,4533,4084,11384,3642,3365,11861,11864,12317,12418,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,11932,4053,4012,12015,12361,3963,12377,4007,11125,12240,12316,12376,12417,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,12265,12525,12600,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,12287,12354,12421,12536,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,3327,10926,10989,12290,3399,12227,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,12331,12424,12427,12529,12566,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,12465,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,12261,12402,12443,12449,12548,12551,12570,12624,12630,3384,10754,10784,10793,10796,11356,12567,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,11925,3801,4132,4522,3846,4507,4510,3302,3303,4509,4511,3632,4224,11590,4538,10656,10659,4543,11111,11114,11287,11411,11451,3921,11448,11796,11800,12476,12484,3767,11055,11061,11074,12047,12179,12264,3617,11182,11290,12399,12409,12481,12539,4089,3769,10790,11147,11296,11330,11341,12370,12480,3477,3586,10709,10712,10799,10968,4541,11738,4542,10553,10662,12349,12358,12405,12594,4187,10929,12367,12373,12385,4095,3800,3745,4539,10390,10393,10742,10745,11604,11797,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494,6495,6499,6501,6502,6503,6505,6507,6508,6509,6516,6523,6524,6525,6526,6532,6534,6577,6583,6599,6602,6603,6604,6638,6643,6646,6651,6652,6663,6666,6681,6707,6708,6709,6710,6721,6726,6744,6748,6770,6790,6803,6804,6805,6811,6825,6847,6849,6851,6853,6856,6857,6862,6864,6878,6883,6885,6923,6926,6927,6943,6944,6945,6946,6967,6968,6986,7013,7037,7048,7050,7051,7053,7055,7087,7088,7089,7092,7093,7095,7097,7098,7099,7128,7137,7138,7149,7159,7200,7210,7216,7224,7235,7240,7242,7249,7269,7286,7307,7309,7326,7331,7388,7390,7391,7392,7399,7400,7406,7408,7474,7492,7506,7522,7523,7539,7571,7575,7598,7623,7641,7644,7645,7655,7674,7675,7677,7679,7681,7683,7684,7685,7736,7737,7769,7771,7772,7773,7779,7800,7817,7822,7828,7830,7838,7850,7851,7853,7881,7907,7974,7975,8025,8031,8032,8055,8056,8075,8076,8077,8136,8137,8138,8164,8199,8204,8218,8232,8261,8265,8271,8283,8301,8306,8328,8373,8401,8413,8432,8435,8461,8485,8543,8544,8547,8548,8651,8652,8653,8654,8678,8707,8734,8776,8794,8835,8851,8895,8898,8911,8918,8960,8978,8997,8998,9015,9016,9029,9145,9150,9155,9174,9195,9219,9221,9224,9230,9232,9233,9244,9245,9264,9271,9281,9330,9347,9400,9401,9407,9469,9473,9513,9526,9530,9531,9535,9536,9549,9571,9583,9591,9592,9594,9596,9624,9746,9747,9792,9793,9839,9877,9982,10052])).
% 218.74/218.82 cnf(12650,plain,
% 218.74/218.82 (P144(f822(f822(f318(x126501),x126502),f233(f892(x126501,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3476])).
% 218.74/218.82 cnf(12654,plain,
% 218.74/218.82 (P144(f822(f822(f226(f892(x126541,a882)),x126542),x126542))),
% 218.74/218.82 inference(rename_variables,[],[3617])).
% 218.74/218.82 cnf(12657,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x126571),x126572),f182(f892(x126571,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(12660,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),f2(a1)),f822(f822(f235(a1),f822(f75(a1),x126601)),x126602)))),
% 218.74/218.82 inference(rename_variables,[],[3800])).
% 218.74/218.82 cnf(12663,plain,
% 218.74/218.82 (~E(f822(a107,x126631),x126631)),
% 218.74/218.82 inference(rename_variables,[],[4464])).
% 218.74/218.82 cnf(12665,plain,
% 218.74/218.82 (E(f822(f273(x126651,x126651),f254(x126651,x126652)),x126652)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(12667,plain,
% 218.74/218.82 (P53(x126671,f254(x126671,x126672))),
% 218.74/218.82 inference(rename_variables,[],[3199])).
% 218.74/218.82 cnf(12672,plain,
% 218.74/218.82 (P40(a25,x126721,x126722,x126721)),
% 218.74/218.82 inference(rename_variables,[],[3537])).
% 218.74/218.82 cnf(12679,plain,
% 218.74/218.82 (E(f822(f273(x126791,x126791),f254(x126791,x126792)),x126792)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(12681,plain,
% 218.74/218.82 (P57(x126811,f182(f892(x126811,a882)),x126812)),
% 218.74/218.82 inference(rename_variables,[],[3344])).
% 218.74/218.82 cnf(12685,plain,
% 218.74/218.82 (P54(x126851,x126852,f254(x126851,x126852))),
% 218.74/218.82 inference(rename_variables,[],[3295])).
% 218.74/218.82 cnf(12687,plain,
% 218.74/218.82 (P54(x126871,x126872,f254(x126871,x126872))),
% 218.74/218.82 inference(rename_variables,[],[3295])).
% 218.74/218.82 cnf(12689,plain,
% 218.74/218.82 (P54(x126891,x126892,f254(x126891,x126892))),
% 218.74/218.82 inference(rename_variables,[],[3295])).
% 218.74/218.82 cnf(12691,plain,
% 218.74/218.82 (P36(x126911,f145(x126911,x126912))),
% 218.74/218.82 inference(rename_variables,[],[3195])).
% 218.74/218.82 cnf(12695,plain,
% 218.74/218.82 (P37(x126951,f254(x126951,x126952))),
% 218.74/218.82 inference(rename_variables,[],[3196])).
% 218.74/218.82 cnf(12699,plain,
% 218.74/218.82 (P26(x126991,x126991,f7(x126991),x126992)),
% 218.74/218.82 inference(rename_variables,[],[3561])).
% 218.74/218.82 cnf(12701,plain,
% 218.74/218.82 (P26(x127011,x127011,f7(x127011),x127012)),
% 218.74/218.82 inference(rename_variables,[],[3561])).
% 218.74/218.82 cnf(12711,plain,
% 218.74/218.82 (E(f822(f273(x127111,x127111),f254(x127111,x127112)),x127112)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(12713,plain,
% 218.74/218.82 (E(f822(f273(x127131,x127131),f254(x127131,x127132)),x127132)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(12721,plain,
% 218.74/218.82 (E(f822(f273(x127211,x127211),f254(x127211,x127212)),x127212)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(12723,plain,
% 218.74/218.82 (P16(x127231,f892(x127231,a882),f298(x127231))),
% 218.74/218.82 inference(rename_variables,[],[3299])).
% 218.74/218.82 cnf(12727,plain,
% 218.74/218.82 (E(f822(f273(x127271,x127271),f254(x127271,x127272)),x127272)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(12733,plain,
% 218.74/218.82 (E(f822(f273(x127331,x127331),f254(x127331,x127332)),x127332)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(12739,plain,
% 218.74/218.82 (E(f822(f273(x127391,x127391),f254(x127391,x127392)),x127392)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(12745,plain,
% 218.74/218.82 (E(f182(f892(f891(x127451,x127451),a882)),f254(x127451,f182(f892(x127451,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3394])).
% 218.74/218.82 cnf(12747,plain,
% 218.74/218.82 (P42(x127471,x127472,x127473,x127474,f182(f892(x127471,a882)),x127474)),
% 218.74/218.82 inference(rename_variables,[],[4246])).
% 218.74/218.82 cnf(12758,plain,
% 218.74/218.82 (P56(x127581,x127581,f254(x127581,x127582))),
% 218.74/218.82 inference(rename_variables,[],[3296])).
% 218.74/218.82 cnf(12764,plain,
% 218.74/218.82 (E(f822(f273(x127641,x127641),f254(x127641,x127642)),x127642)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(12774,plain,
% 218.74/218.82 (E(f822(f273(x127741,x127741),f254(x127741,x127742)),x127742)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(12776,plain,
% 218.74/218.82 (P31(x127761,x127762,f108(x127761),f108(x127761))),
% 218.74/218.82 inference(rename_variables,[],[3569])).
% 218.74/218.82 cnf(12778,plain,
% 218.74/218.82 (P31(x127781,x127782,f108(x127781),f108(x127781))),
% 218.74/218.82 inference(rename_variables,[],[3569])).
% 218.74/218.82 cnf(12794,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a885),x127941),f2(a885)))),
% 218.74/218.82 inference(rename_variables,[],[4519])).
% 218.74/218.82 cnf(12803,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a1),f822(f95(a1),x128031)),f822(f78(a1),f822(f95(a1),x128032))))),
% 218.74/218.82 inference(rename_variables,[],[4537])).
% 218.74/218.82 cnf(12813,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a885),x128131),f2(a885)))),
% 218.74/218.82 inference(rename_variables,[],[4519])).
% 218.74/218.82 cnf(12816,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a885),x128161),f2(a885)))),
% 218.74/218.82 inference(rename_variables,[],[4519])).
% 218.74/218.82 cnf(12819,plain,
% 218.74/218.82 (P144(f822(f60(a885),f294(a885,x128191,x128192)))),
% 218.74/218.82 inference(rename_variables,[],[3529])).
% 218.74/218.82 cnf(12822,plain,
% 218.74/218.82 (P144(f822(f60(a885),f294(a885,x128221,x128222)))),
% 218.74/218.82 inference(rename_variables,[],[3529])).
% 218.74/218.82 cnf(12825,plain,
% 218.74/218.82 (P144(f822(f60(a885),f294(a885,x128251,x128252)))),
% 218.74/218.82 inference(rename_variables,[],[3529])).
% 218.74/218.82 cnf(12828,plain,
% 218.74/218.82 (P144(f822(f60(a885),f294(a885,x128281,x128282)))),
% 218.74/218.82 inference(rename_variables,[],[3529])).
% 218.74/218.82 cnf(12835,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),f822(f78(a1),f822(f95(a1),x128351))),f822(f95(a1),x128352)))),
% 218.74/218.82 inference(rename_variables,[],[3801])).
% 218.74/218.82 cnf(12838,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a885),x128381),f2(a885)))),
% 218.74/218.82 inference(rename_variables,[],[4519])).
% 218.74/218.82 cnf(12839,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x128391),x128391))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(12846,plain,
% 218.74/218.82 (P144(f822(f822(f227(a885),x128461),f822(a107,x128461)))),
% 218.74/218.82 inference(rename_variables,[],[3391])).
% 218.74/218.82 cnf(12848,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a1),f2(a1)),f822(f99(a1),f2(a1))))),
% 218.74/218.82 inference(scs_inference,[],[3537,12211,12231,12672,3561,11189,12246,12343,12438,12473,12477,12485,12498,12560,12699,3569,12313,12776,12778,3577,3295,12685,12687,12689,3296,12758,3262,12635,4493,4494,11822,4246,12747,3299,12723,3140,3195,12691,3196,12695,3197,3198,3199,12516,12667,4492,3619,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,12309,12466,12530,3379,3344,12681,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2972,2981,2984,2985,2986,2987,2988,2989,2991,2992,2995,2999,3000,3028,3055,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,4460,3122,3194,4461,3657,3884,11755,3173,11459,3307,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,12214,12414,12613,12665,12679,12711,12713,12721,12727,12733,12739,12764,3257,12501,12505,12509,3263,3272,3779,4077,3390,12563,12638,3163,3520,3870,11505,3224,3186,3182,3985,3878,3700,3170,3150,3791,3205,3380,10936,12310,12520,3256,3952,4483,10368,10531,11370,12462,12502,12506,4490,12470,3316,11842,3911,4526,11102,11194,11420,11423,3719,3311,3427,3643,4504,3394,12745,3220,3221,10438,10757,3480,3214,3141,3244,11495,4091,12488,12625,3954,11122,11242,11299,12446,12452,12574,12577,12603,4544,11039,11255,11364,11387,11428,11434,12393,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,12346,12390,12469,3684,3469,4359,4360,3542,4481,11488,3661,3621,3663,3834,3880,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,12275,12607,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,12396,12492,12794,12813,12816,4532,11607,11638,11680,11687,11721,3759,3528,3529,12819,12822,12825,3903,3352,3354,3328,4516,3219,4478,3710,4013,3511,4533,4084,11384,3642,3365,11861,11864,12317,12418,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,11932,4053,4012,12015,12361,3963,12377,4007,11125,12240,12316,12376,12417,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,12265,12525,12600,12610,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,12287,12354,12421,12536,12580,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,3327,10926,10989,12290,3399,12227,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,12331,12424,12427,12529,12566,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,12465,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,12261,12402,12443,12449,12548,12551,12570,12624,12630,12641,3384,10754,10784,10793,10796,11356,12567,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,11925,3801,11867,4132,3534,4522,3846,4507,4508,4510,3302,3303,4509,4511,3632,4224,11590,4538,10656,10659,4543,11111,11114,11287,11411,11451,3921,11448,11796,11800,12476,12484,3767,11055,11061,11074,12047,12179,12264,3617,11182,11290,12399,12409,12481,12539,12547,4089,3769,10790,11147,11296,11330,11341,12370,12480,3477,3586,10709,10712,10799,10968,3585,4541,11738,4537,12803,4542,10553,10662,12349,12358,12405,12594,4187,10929,12367,12373,12385,4095,3800,3745,11854,4539,10390,10393,10742,10745,11604,11797,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494,6495,6499,6501,6502,6503,6505,6507,6508,6509,6516,6523,6524,6525,6526,6532,6534,6577,6583,6599,6602,6603,6604,6638,6643,6646,6651,6652,6663,6666,6681,6707,6708,6709,6710,6721,6726,6744,6748,6770,6790,6803,6804,6805,6811,6825,6847,6849,6851,6853,6856,6857,6862,6864,6878,6883,6885,6923,6926,6927,6943,6944,6945,6946,6967,6968,6986,7013,7037,7048,7050,7051,7053,7055,7087,7088,7089,7092,7093,7095,7097,7098,7099,7128,7137,7138,7149,7159,7200,7210,7216,7224,7235,7240,7242,7249,7269,7286,7307,7309,7326,7331,7388,7390,7391,7392,7399,7400,7406,7408,7474,7492,7506,7522,7523,7539,7571,7575,7598,7623,7641,7644,7645,7655,7674,7675,7677,7679,7681,7683,7684,7685,7736,7737,7769,7771,7772,7773,7779,7800,7817,7822,7828,7830,7838,7850,7851,7853,7881,7907,7974,7975,8025,8031,8032,8055,8056,8075,8076,8077,8136,8137,8138,8164,8199,8204,8218,8232,8261,8265,8271,8283,8301,8306,8328,8373,8401,8413,8432,8435,8461,8485,8543,8544,8547,8548,8651,8652,8653,8654,8678,8707,8734,8776,8794,8835,8851,8895,8898,8911,8918,8960,8978,8997,8998,9015,9016,9029,9145,9150,9155,9174,9195,9219,9221,9224,9230,9232,9233,9244,9245,9264,9271,9281,9330,9347,9400,9401,9407,9469,9473,9513,9526,9530,9531,9535,9536,9549,9571,9583,9591,9592,9594,9596,9624,9746,9747,9792,9793,9839,9877,9982,10052,10200,10216,10221,3,2661,2669,2670,2673,2675,2679,2680,2681,2684,2685,2686,2691,2692,2693,2695,2696,2697,2698,2700,2701,2702,2703,2706,2707,2708,2715,2719,2721,2722,2724,2725,2728,2729,2736,2738,2743,2757,2758,2762,2764,2765,2766,2769,2771,2780,2781,2782,2797,2800,2801,2802,2806,2807,2808,2810,2811,2812,2815,2842,2845,2846,2849,2861,2862,2870,2884,2886,2887,2903,2905,2925,5273,5315,5464,5465,5466,5548,5648,5678,5712,5728,5734,5736,5798,5799,5800,5801,5818,5856,5991,6040,6064,6100,6293])).
% 218.74/218.82 cnf(12850,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),f822(f99(a1),a82)),f2(a1)))),
% 218.74/218.82 inference(scs_inference,[],[3537,12211,12231,12672,3561,11189,12246,12343,12438,12473,12477,12485,12498,12560,12699,3569,12313,12776,12778,3577,3295,12685,12687,12689,3296,12758,3262,12635,4493,4494,11822,4246,12747,3299,12723,3140,3195,12691,3196,12695,3197,3198,3199,12516,12667,4492,3619,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,12309,12466,12530,3379,3344,12681,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2972,2981,2984,2985,2986,2987,2988,2989,2991,2992,2995,2999,3000,3028,3055,3056,3075,3076,3078,3083,3084,3086,3089,3100,3101,3117,4460,3122,3194,4461,3657,3884,11755,3173,11459,3307,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,12214,12414,12613,12665,12679,12711,12713,12721,12727,12733,12739,12764,3257,12501,12505,12509,3263,3272,3779,4077,3390,12563,12638,3163,3520,3870,11505,3224,3186,3182,3985,3878,3700,3170,3150,3791,3205,3380,10936,12310,12520,3256,3952,4483,10368,10531,11370,12462,12502,12506,4490,12470,3316,11842,3911,4526,11102,11194,11420,11423,3719,3311,3427,3643,4504,3394,12745,3220,3221,10438,10757,3480,3214,3141,3244,11495,4091,12488,12625,3954,11122,11242,11299,12446,12452,12574,12577,12603,4544,11039,11255,11364,11387,11428,11434,12393,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,12346,12390,12469,3684,3469,4359,4360,3542,4481,11488,3661,3621,3663,3834,3880,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,12275,12607,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,12396,12492,12794,12813,12816,4532,11607,11638,11680,11687,11721,3759,3528,3529,12819,12822,12825,3903,3352,3354,3328,4516,3219,4478,3710,4013,3511,4533,4084,11384,3642,3365,11861,11864,12317,12418,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,11932,4053,4012,12015,12361,3963,12377,4007,11125,12240,12316,12376,12417,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,12265,12525,12600,12610,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,12287,12354,12421,12536,12580,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,12123,3327,10926,10989,12290,3399,12227,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,12331,12424,12427,12529,12566,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,12465,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,12261,12402,12443,12449,12548,12551,12570,12624,12630,12641,3384,10754,10784,10793,10796,11356,12567,3423,3416,3838,3777,10417,11744,11772,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,3346,10787,10939,11012,11773,11925,3801,11867,4132,3534,4522,3846,4507,4508,4510,3302,3303,4509,4511,3632,4224,11590,4538,10656,10659,4543,11111,11114,11287,11411,11451,3921,11448,11796,11800,12476,12484,3767,11055,11061,11074,12047,12179,12264,3617,11182,11290,12399,12409,12481,12539,12547,4089,3769,10790,11147,11296,11330,11341,12370,12480,3477,3586,10709,10712,10799,10968,3585,4541,11738,4537,12803,4542,10553,10662,12349,12358,12405,12594,4187,10929,12367,12373,12385,4095,3800,3745,11854,4539,10390,10393,10742,10745,11604,11797,4540,11718,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,67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% 218.74/218.82 cnf(12851,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),x128511),x128511))),
% 218.74/218.82 inference(rename_variables,[],[3326])).
% 218.74/218.82 cnf(12854,plain,
% 218.74/218.82 (P144(f822(f60(a885),f294(a885,x128541,x128542)))),
% 218.74/218.82 inference(rename_variables,[],[3529])).
% 218.74/218.82 cnf(12857,plain,
% 218.74/218.82 (P144(f822(f60(a885),f294(a885,x128571,x128572)))),
% 218.74/218.82 inference(rename_variables,[],[3529])).
% 218.74/218.82 cnf(12860,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x128601),x128601))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(12873,plain,
% 218.74/218.82 (P144(f822(f822(f227(a885),x128731),f822(a107,x128731)))),
% 218.74/218.82 inference(rename_variables,[],[3391])).
% 218.74/218.82 cnf(12878,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),f44(a885,x128781,x128782)),x128781))),
% 218.74/218.82 inference(rename_variables,[],[3777])).
% 218.74/218.82 cnf(12887,plain,
% 218.74/218.82 (P144(f822(f822(f227(a885),x128871),f822(a107,x128871)))),
% 218.74/218.82 inference(rename_variables,[],[3391])).
% 218.74/218.82 cnf(12888,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a885),x128881),f2(a885)))),
% 218.74/218.82 inference(rename_variables,[],[4519])).
% 218.74/218.82 cnf(12897,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a1),f822(f95(a1),x128971)),f2(a1)))),
% 218.74/218.82 inference(rename_variables,[],[4532])).
% 218.74/218.82 cnf(12898,plain,
% 218.74/218.82 (P144(f822(f233(f892(x128981,a882)),x128982))),
% 218.74/218.82 inference(rename_variables,[],[3384])).
% 218.74/218.82 cnf(12901,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a1),f822(f95(a1),x129011)),f2(a1)))),
% 218.74/218.82 inference(rename_variables,[],[4532])).
% 218.74/218.82 cnf(12902,plain,
% 218.74/218.82 (P144(f822(f233(f892(x129021,a882)),x129022))),
% 218.74/218.82 inference(rename_variables,[],[3384])).
% 218.74/218.82 cnf(12905,plain,
% 218.74/218.82 (P144(f822(f233(f892(x129051,a882)),x129052))),
% 218.74/218.82 inference(rename_variables,[],[3384])).
% 218.74/218.82 cnf(12908,plain,
% 218.74/218.82 (P144(f822(f233(f892(x129081,a882)),x129082))),
% 218.74/218.82 inference(rename_variables,[],[3384])).
% 218.74/218.82 cnf(12916,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x129161),x129162),f182(f892(x129161,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(12917,plain,
% 218.74/218.82 (P144(f822(f60(x129171),f182(f892(x129171,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3399])).
% 218.74/218.82 cnf(12920,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x129201),x129201))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(12929,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),f2(a885)),x129291))),
% 218.74/218.82 inference(rename_variables,[],[3346])).
% 218.74/218.82 cnf(12932,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x129321),x129322),f182(f892(x129321,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(12935,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x129351),x129352),f182(f892(x129351,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(12940,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x129401),x129401))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(12947,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x129471),x129471))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(12951,plain,
% 218.74/218.82 (P144(f822(f822(f227(a885),x129511),f822(a107,x129511)))),
% 218.74/218.82 inference(rename_variables,[],[3391])).
% 218.74/218.82 cnf(12954,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x129541),x129541))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(12959,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x129591),x129591))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(12962,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x129621),x129621))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(12965,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x129651),x129651))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(12968,plain,
% 218.74/218.82 (E(f822(f822(f3(f892(x129681,a882)),f182(f892(x129681,a882))),x129682),f182(f892(x129681,a882)))),
% 218.74/218.82 inference(rename_variables,[],[3588])).
% 218.74/218.82 cnf(12969,plain,
% 218.74/218.82 (P144(f822(f60(x129691),f182(f892(x129691,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3399])).
% 218.74/218.82 cnf(12972,plain,
% 218.74/218.82 (E(f822(f822(f3(f892(x129721,a882)),f182(f892(x129721,a882))),x129722),f182(f892(x129721,a882)))),
% 218.74/218.82 inference(rename_variables,[],[3588])).
% 218.74/218.82 cnf(12973,plain,
% 218.74/218.82 (P144(f822(f60(x129731),f182(f892(x129731,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3399])).
% 218.74/218.82 cnf(12976,plain,
% 218.74/218.82 (E(f822(f822(f3(f892(x129761,a882)),f182(f892(x129761,a882))),x129762),f182(f892(x129761,a882)))),
% 218.74/218.82 inference(rename_variables,[],[3588])).
% 218.74/218.82 cnf(12977,plain,
% 218.74/218.82 (P144(f822(f60(x129771),f182(f892(x129771,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3399])).
% 218.74/218.82 cnf(12980,plain,
% 218.74/218.82 (E(f822(f822(f3(f892(x129801,a882)),f182(f892(x129801,a882))),x129802),f182(f892(x129801,a882)))),
% 218.74/218.82 inference(rename_variables,[],[3588])).
% 218.74/218.82 cnf(12981,plain,
% 218.74/218.82 (P144(f822(f60(x129811),f182(f892(x129811,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3399])).
% 218.74/218.82 cnf(12985,plain,
% 218.74/218.82 (E(f822(f273(x129851,x129851),f254(x129851,x129852)),x129852)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(12991,plain,
% 218.74/218.82 (~P144(f822(f822(f226(a885),f822(a107,x129911)),x129911))),
% 218.74/218.82 inference(rename_variables,[],[4525])).
% 218.74/218.82 cnf(12994,plain,
% 218.74/218.82 (E(f822(f822(f3(f892(x129941,a882)),f182(f892(x129941,a882))),x129942),f182(f892(x129941,a882)))),
% 218.74/218.82 inference(rename_variables,[],[3588])).
% 218.74/218.82 cnf(12995,plain,
% 218.74/218.82 (P144(f822(f60(x129951),f182(f892(x129951,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3399])).
% 218.74/218.82 cnf(12999,plain,
% 218.74/218.82 (P144(f822(f60(x129991),f182(f892(x129991,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3399])).
% 218.74/218.82 cnf(13002,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x130021),x130021))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(13008,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),x130081),x130081))),
% 218.74/218.82 inference(rename_variables,[],[3326])).
% 218.74/218.82 cnf(13011,plain,
% 218.74/218.82 (P144(f822(f822(f227(a885),x130111),f822(a107,x130111)))),
% 218.74/218.82 inference(rename_variables,[],[3391])).
% 218.74/218.82 cnf(13018,plain,
% 218.74/218.82 (P144(f822(f822(f227(a885),x130181),f822(a107,x130181)))),
% 218.74/218.82 inference(rename_variables,[],[3391])).
% 218.74/218.82 cnf(13021,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x130211),x130211))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(13032,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x130321),x130321))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(13035,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),x130351),x130351))),
% 218.74/218.82 inference(rename_variables,[],[3326])).
% 218.74/218.82 cnf(13042,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x130421),x130422),f182(f892(x130421,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(13053,plain,
% 218.74/218.82 (P144(f822(f822(f318(x130531),x130532),f233(f892(x130531,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3476])).
% 218.74/218.82 cnf(13059,plain,
% 218.74/218.82 (P144(f822(f822(f226(f892(x130591,a882)),x130592),x130592))),
% 218.74/218.82 inference(rename_variables,[],[3617])).
% 218.74/218.82 cnf(13065,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a885),x130651),f2(a885)))),
% 218.74/218.82 inference(rename_variables,[],[4519])).
% 218.74/218.82 cnf(13066,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),x130661),x130661))),
% 218.74/218.82 inference(rename_variables,[],[3326])).
% 218.74/218.82 cnf(13070,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a885),x130701),f2(a885)))),
% 218.74/218.82 inference(rename_variables,[],[4519])).
% 218.74/218.82 cnf(13071,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),x130711),x130711))),
% 218.74/218.82 inference(rename_variables,[],[3326])).
% 218.74/218.82 cnf(13076,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x130761),x130761))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(13083,plain,
% 218.74/218.82 (E(f822(f822(f18(x130831,x130832),x130833),x130834),x130833)),
% 218.74/218.82 inference(rename_variables,[],[3316])).
% 218.74/218.82 cnf(13086,plain,
% 218.74/218.82 (P144(f822(f822(f226(f892(x130861,a882)),f822(f164(x130861),f168(x130861,x130862,x130863))),f822(f164(x130861),x130862)))),
% 218.74/218.82 inference(rename_variables,[],[4007])).
% 218.74/218.82 cnf(13093,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a885),x130931),f2(a885)))),
% 218.74/218.82 inference(rename_variables,[],[4519])).
% 218.74/218.82 cnf(13094,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),x130941),x130941))),
% 218.74/218.82 inference(rename_variables,[],[3326])).
% 218.74/218.82 cnf(13098,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a885),x130981),f2(a885)))),
% 218.74/218.82 inference(rename_variables,[],[4519])).
% 218.74/218.82 cnf(13099,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),x130991),x130991))),
% 218.74/218.82 inference(rename_variables,[],[3326])).
% 218.74/218.82 cnf(13101,plain,
% 218.74/218.82 (~P144(f822(f822(f227(f892(a885,a882)),f292(a885,f822(a107,x131011),f822(a107,x131011))),f292(a885,x131012,x131011)))),
% 218.74/218.82 inference(scs_inference,[],[3537,12211,12231,12672,3561,11189,12246,12343,12438,12473,12477,12485,12498,12560,12699,3569,12313,12776,12778,3577,3295,12685,12687,12689,3296,12758,3262,12635,4493,4494,11822,4246,12747,3299,12723,3140,3195,12691,3196,12695,3197,3198,3199,12516,12667,4492,3619,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,12309,12466,12530,3379,3344,12681,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2972,2975,2978,2981,2984,2985,2986,2987,2988,2989,2991,2992,2995,2996,2999,3000,3015,3017,3028,3039,3040,3055,3056,3069,3072,3075,3076,3077,3078,3079,3083,3084,3086,3089,3100,3101,3117,4460,3122,3194,4461,3657,3884,11755,3173,11459,3307,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,12214,12414,12613,12665,12679,12711,12713,12721,12727,12733,12739,12764,12774,3257,12501,12505,12509,3263,3272,3779,4077,3240,3390,12563,12638,3163,3520,3870,11505,3224,3186,3182,3985,3878,3700,3170,3150,3791,3205,3380,10936,12310,12520,3256,3952,4483,10368,10531,11370,12462,12502,12506,4490,12470,3316,11842,11845,3911,4526,11102,11194,11420,11423,3719,3311,3427,3643,4504,3394,12745,3220,3221,10438,10757,3480,3214,3141,3244,11495,4091,12488,12625,3954,11122,11242,11299,12446,12452,12574,12577,12603,4544,11039,11255,11364,11387,11428,11434,12393,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,12346,12390,12469,3684,3469,4359,4360,3542,4481,11488,3661,3621,3663,3834,3588,12968,12972,12976,12980,12994,3880,12340,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,12275,12607,12846,12873,12887,12951,13011,13018,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,12396,12492,12794,12813,12816,12838,12888,13065,13070,13093,4532,11607,11638,11680,11687,11721,12897,12901,3759,3528,3529,12819,12822,12825,12828,12854,3903,3352,3354,3328,4516,3219,4478,3710,4013,3511,4533,4084,11384,3642,3365,11861,11864,12317,12418,12584,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,11932,4053,4012,12015,12361,3963,12377,4007,11125,12240,12316,12376,12417,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,12265,12525,12600,12610,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,12287,12354,12421,12536,12580,12839,12860,12920,12940,12947,12954,12959,12962,12965,13002,13021,13032,13076,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,12123,12851,13008,13035,13066,13071,13094,3327,10926,10989,12290,12293,3399,12227,12917,12969,12973,12977,12981,12995,12999,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,12331,12424,12427,12529,12566,12647,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,12465,12650,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,12261,12402,12443,12449,12548,12551,12570,12624,12630,12641,12657,12916,12932,12935,3384,10754,10784,10793,10796,11356,12567,12581,12898,12902,12905,12908,3423,3416,3838,3777,10417,11744,11772,12878,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,12991,3346,10787,10939,11012,11773,11925,12355,3801,11867,12835,4132,3534,4522,3846,4507,4508,4510,3302,3303,4509,4511,3632,4224,11590,4538,10656,10659,4543,11111,11114,11287,11411,11451,3921,11448,11796,11800,12476,12484,3767,11055,11061,11074,12047,12179,12264,3617,11182,11290,12399,12409,12481,12539,12547,12654,4089,3769,10790,11147,11296,11330,11341,12370,12480,3477,11046,3586,10709,10712,10799,10968,3585,4541,11738,4537,12803,4542,10553,10662,12349,12358,12405,12594,4187,10929,12367,12373,12385,4095,3800,12660,3745,11854,4539,10390,10393,10742,10745,11604,11797,12606,4540,11718,11806,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494,6495,6499,6501,6502,6503,6505,6507,6508,6509,6516,6523,6524,6525,6526,6532,6534,6577,6583,6599,6602,6603,6604,6638,6643,6646,6651,6652,6663,6666,6681,6707,6708,6709,6710,6721,6726,6744,6748,6770,6790,6803,6804,6805,6811,6825,6847,6849,6851,6853,6856,6857,6862,6864,6878,6883,6885,6923,6926,6927,6943,6944,6945,6946,6967,6968,6986,7013,7037,7048,7050,7051,7053,7055,7087,7088,7089,7092,7093,7095,7097,7098,7099,7128,7137,7138,7149,7159,7200,7210,7216,7224,7235,7240,7242,7249,7269,7286,7307,7309,7326,7331,7388,7390,7391,7392,7399,7400,7406,7408,7474,7492,7506,7522,7523,7539,7571,7575,7598,7623,7641,7644,7645,7655,7674,7675,7677,7679,7681,7683,7684,7685,7736,7737,7769,7771,7772,7773,7779,7800,7817,7822,7828,7830,7838,7850,7851,7853,7881,7907,7974,7975,8025,8031,8032,8055,8056,8075,8076,8077,8136,8137,8138,8164,8199,8204,8218,8232,8261,8265,8271,8283,8301,8306,8328,8373,8401,8413,8432,8435,8461,8485,8543,8544,8547,8548,8651,8652,8653,8654,8678,8707,8734,8776,8794,8835,8851,8895,8898,8911,8918,8960,8978,8997,8998,9015,9016,9029,9145,9150,9155,9174,9195,9219,9221,9224,9230,9232,9233,9244,9245,9264,9271,9281,9330,9347,9400,9401,9407,9469,9473,9513,9526,9530,9531,9535,9536,9549,9571,9583,9591,9592,9594,9596,9624,9746,9747,9792,9793,9839,9877,9982,10052,10200,10216,10221,3,2661,2669,2670,2673,2675,2679,2680,2681,2684,2685,2686,2691,2692,2693,2695,2696,2697,2698,2700,2701,2702,2703,2706,2707,2708,2715,2719,2721,2722,2724,2725,2728,2729,2736,2738,2743,2757,2758,2762,2764,2765,2766,2769,2771,2780,2781,2782,2797,2800,2801,2802,2806,2807,2808,2810,2811,2812,2815,2842,2845,2846,2849,2861,2862,2870,2884,2886,2887,2903,2905,2925,5273,5315,5464,5465,5466,5548,5648,5678,5712,5728,5734,5736,5798,5799,5800,5801,5818,5856,5991,6040,6064,6100,6293,6300,6341,6342,6367,6369,6371,6378,6379,6380,6381,6382,6383,6384,6385,6386,6472,6546,6547,6636,6676,6677,6718,6719,6863,6877,6935,6956,6957,6963,6987,7020,7022,7026,7071,7090,7091,7108,7109,7110,7148,7194,7195,7293,7366,7367,7368,7369,7386,7425,7436,7479,7480,7488,7495,7497,7508,7542,7543,7544,7545,7691,7692,7698,7699,7701,7703,7777,7913,7916,7918,7919,7935,7972,8051,8094,8147,8169,8170,8247,8341,8411,8412,8414,8447,8481,8507,8508,8593])).
% 218.74/218.82 cnf(13102,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x131021),x131021))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(13104,plain,
% 218.74/218.82 (~P144(f822(f822(f226(f892(a885,a882)),f292(a885,f822(a107,x131041),f822(a107,x131041))),f292(a885,x131042,x131041)))),
% 218.74/218.82 inference(scs_inference,[],[3537,12211,12231,12672,3561,11189,12246,12343,12438,12473,12477,12485,12498,12560,12699,3569,12313,12776,12778,3577,3295,12685,12687,12689,3296,12758,3262,12635,4493,4494,11822,4246,12747,3299,12723,3140,3195,12691,3196,12695,3197,3198,3199,12516,12667,4492,3619,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,12309,12466,12530,3379,3344,12681,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2972,2975,2978,2981,2984,2985,2986,2987,2988,2989,2991,2992,2995,2996,2999,3000,3015,3017,3028,3039,3040,3055,3056,3069,3072,3075,3076,3077,3078,3079,3083,3084,3086,3089,3100,3101,3117,4460,3122,3194,4461,3657,3884,11755,3173,11459,3307,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,12214,12414,12613,12665,12679,12711,12713,12721,12727,12733,12739,12764,12774,3257,12501,12505,12509,3263,3272,3779,4077,3240,3390,12563,12638,3163,3520,3870,11505,3224,3186,3182,3985,3878,3700,3170,3150,3791,3205,3380,10936,12310,12520,3256,3952,4483,10368,10531,11370,12462,12502,12506,4490,12470,3316,11842,11845,3911,4526,11102,11194,11420,11423,3719,3311,3427,3643,4504,3394,12745,3220,3221,10438,10757,3480,3214,3141,3244,11495,4091,12488,12625,3954,11122,11242,11299,12446,12452,12574,12577,12603,4544,11039,11255,11364,11387,11428,11434,12393,4545,11158,11258,11367,11431,4546,11261,4547,11317,4548,3241,3518,12346,12390,12469,3684,3469,4359,4360,3542,4481,11488,3661,3621,3663,3834,3588,12968,12972,12976,12980,12994,3880,12340,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,12275,12607,12846,12873,12887,12951,13011,13018,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,12396,12492,12794,12813,12816,12838,12888,13065,13070,13093,4532,11607,11638,11680,11687,11721,12897,12901,3759,3528,3529,12819,12822,12825,12828,12854,3903,3352,3354,3328,4516,3219,4478,3710,4013,3511,4533,4084,11384,3642,3365,11861,11864,12317,12418,12584,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,11932,4053,4012,12015,12361,3963,12377,4007,11125,12240,12316,12376,12417,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,12265,12525,12600,12610,4536,10886,11266,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,12287,12354,12421,12536,12580,12839,12860,12920,12940,12947,12954,12959,12962,12965,13002,13021,13032,13076,13102,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,12123,12851,13008,13035,13066,13071,13094,3327,10926,10989,12290,12293,3399,12227,12917,12969,12973,12977,12981,12995,12999,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,12331,12424,12427,12529,12566,12647,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,12465,12650,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,12261,12402,12443,12449,12548,12551,12570,12624,12630,12641,12657,12916,12932,12935,3384,10754,10784,10793,10796,11356,12567,12581,12898,12902,12905,12908,3423,3416,3838,3777,10417,11744,11772,12878,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,12991,3346,10787,10939,11012,11773,11925,12355,3801,11867,12835,4132,3534,4522,3846,4507,4508,4510,3302,3303,4509,4511,3632,4224,11590,4538,10656,10659,4543,11111,11114,11287,11411,11451,3921,11448,11796,11800,12476,12484,3767,11055,11061,11074,12047,12179,12264,3617,11182,11290,12399,12409,12481,12539,12547,12654,4089,3769,10790,11147,11296,11330,11341,12370,12480,3477,11046,3586,10709,10712,10799,10968,3585,4541,11738,4537,12803,4542,10553,10662,12349,12358,12405,12594,4187,10929,12367,12373,12385,4095,3800,12660,3745,11854,4539,10390,10393,10742,10745,11604,11797,12606,4540,11718,11806,3770,10706,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,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% 218.74/218.82 cnf(13105,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x131051),x131051))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(13108,plain,
% 218.74/218.82 (~P144(f822(f822(f226(a885),f822(a107,x131081)),x131081))),
% 218.74/218.82 inference(rename_variables,[],[4525])).
% 218.74/218.82 cnf(13114,plain,
% 218.74/218.82 (P144(f822(f822(f318(x131141),f822(x131142,x131143)),f822(f299(x131144,x131141,x131142),f233(f892(x131144,a882)))))),
% 218.74/218.82 inference(rename_variables,[],[3921])).
% 218.74/218.82 cnf(13115,plain,
% 218.74/218.82 (P26(x131151,x131151,f7(x131151),x131152)),
% 218.74/218.82 inference(rename_variables,[],[3561])).
% 218.74/218.82 cnf(13120,plain,
% 218.74/218.82 (P144(f822(f822(f226(f892(x131201,a882)),x131202),f233(f892(x131201,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3702])).
% 218.74/218.82 cnf(13121,plain,
% 218.74/218.82 (P26(x131211,x131211,f7(x131211),x131212)),
% 218.74/218.82 inference(rename_variables,[],[3561])).
% 218.74/218.82 cnf(13125,plain,
% 218.74/218.82 (P144(f822(f822(f226(f892(x131251,a882)),x131252),f233(f892(x131251,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3702])).
% 218.74/218.82 cnf(13126,plain,
% 218.74/218.82 (P26(x131261,x131261,f7(x131261),x131262)),
% 218.74/218.82 inference(rename_variables,[],[3561])).
% 218.74/218.82 cnf(13130,plain,
% 218.74/218.82 (P26(x131301,x131301,f7(x131301),x131302)),
% 218.74/218.82 inference(rename_variables,[],[3561])).
% 218.74/218.82 cnf(13133,plain,
% 218.74/218.82 (~P144(f822(f822(f227(f892(x131331,a882)),x131332),f182(f892(x131331,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4536])).
% 218.74/218.82 cnf(13136,plain,
% 218.74/218.82 (P26(x131361,x131361,f7(x131361),x131362)),
% 218.74/218.82 inference(rename_variables,[],[3561])).
% 218.74/218.82 cnf(13139,plain,
% 218.74/218.82 (P26(x131391,x131391,f7(x131391),x131392)),
% 218.74/218.82 inference(rename_variables,[],[3561])).
% 218.74/218.82 cnf(13150,plain,
% 218.74/218.82 (P144(f822(f822(f226(f892(x131501,a882)),f182(f892(x131501,a882))),x131502))),
% 218.74/218.82 inference(rename_variables,[],[3769])).
% 218.74/218.82 cnf(13154,plain,
% 218.74/218.82 (E(f822(f273(x131541,x131541),f254(x131541,x131542)),x131542)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(13158,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x131581),x131582),f182(f892(x131581,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(13163,plain,
% 218.74/218.82 (P26(x131631,x131631,f7(x131631),x131632)),
% 218.74/218.82 inference(rename_variables,[],[3561])).
% 218.74/218.82 cnf(13170,plain,
% 218.74/218.82 (E(f822(f822(f18(x131701,x131702),x131703),x131704),x131703)),
% 218.74/218.82 inference(rename_variables,[],[3316])).
% 218.74/218.82 cnf(13173,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x131731),x131732),f182(f892(x131731,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(13176,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x131761),x131762),f182(f892(x131761,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(13179,plain,
% 218.74/218.82 (P144(f822(f822(f276(a885),x131791),x131791))),
% 218.74/218.82 inference(rename_variables,[],[3327])).
% 218.74/218.82 cnf(13181,plain,
% 218.74/218.82 (~E(f822(a107,x131811),x131811)),
% 218.74/218.82 inference(rename_variables,[],[4464])).
% 218.74/218.82 cnf(13184,plain,
% 218.74/218.82 (P144(f822(f822(f227(a885),x131841),f822(a107,x131841)))),
% 218.74/218.82 inference(rename_variables,[],[3391])).
% 218.74/218.82 cnf(13185,plain,
% 218.74/218.82 (~E(f822(a107,x131851),x131851)),
% 218.74/218.82 inference(rename_variables,[],[4464])).
% 218.74/218.82 cnf(13188,plain,
% 218.74/218.82 (P144(f822(f822(f227(a885),x131881),f822(a107,f822(f822(f79(a885),x131882),x131881))))),
% 218.74/218.82 inference(rename_variables,[],[3770])).
% 218.74/218.82 cnf(13189,plain,
% 218.74/218.82 (P144(f822(f822(f227(a885),x131891),f822(a107,x131891)))),
% 218.74/218.82 inference(rename_variables,[],[3391])).
% 218.74/218.82 cnf(13191,plain,
% 218.74/218.82 (~E(f822(f822(f80(a885),f822(a107,f2(a885))),f114(x131911)),f822(f822(f80(a885),f822(a107,f2(a885))),f120(x131911,x131912,x131913)))),
% 218.74/218.82 inference(scs_inference,[],[3537,12211,12231,12672,3561,11189,12246,12343,12438,12473,12477,12485,12498,12560,12699,12701,13115,13121,13126,13130,13136,13139,3569,12313,12776,12778,3577,3295,12685,12687,12689,3296,12758,3262,12635,4493,4494,11822,4246,12747,3299,12723,3140,3195,12691,3196,12695,3197,3198,3199,12516,12667,4492,3619,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,12309,12466,12530,12663,13181,13185,3379,3344,12681,3527,3246,4474,10534,10633,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2971,2972,2975,2978,2981,2984,2985,2986,2987,2988,2989,2991,2992,2995,2996,2999,3000,3015,3017,3028,3039,3040,3055,3056,3069,3072,3075,3076,3077,3078,3079,3083,3084,3086,3089,3100,3101,3117,4460,3122,3194,4461,3657,3884,11755,3173,11459,3307,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,12214,12414,12613,12665,12679,12711,12713,12721,12727,12733,12739,12764,12774,12985,3257,12501,12505,12509,3263,3272,3779,4077,3240,3390,12563,12638,3162,3163,3520,3870,11505,3224,3186,3182,3985,3878,3700,3170,3150,3791,3205,3380,10936,12310,12520,3256,3952,4483,10368,10531,11370,12462,12502,12506,4490,12470,3316,11842,11845,13083,3911,4526,11102,11194,11420,11423,3291,3719,3311,10860,3427,3643,4504,3394,12745,3220,3221,10438,10757,4513,3480,3214,3141,3244,11495,4091,12488,12625,3954,11122,11242,11299,12446,12452,12574,12577,12603,4544,11039,11255,11364,11387,11428,11434,12393,4545,11158,11258,11367,11431,4546,11261,11310,4547,11317,4548,3241,3518,12346,12390,12469,3684,3469,4359,4360,3542,4481,11488,3661,3621,3663,3834,3588,12968,12972,12976,12980,12994,3880,12340,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,12275,12607,12846,12873,12887,12951,13011,13018,13184,3772,11741,3309,3403,11564,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,12396,12492,12794,12813,12816,12838,12888,13065,13070,13093,4532,11607,11638,11680,11687,11721,12897,12901,3759,3528,3529,12819,12822,12825,12828,12854,3903,3352,3354,3328,4516,3219,4478,3710,4013,3511,4533,4084,11384,3642,3365,11861,11864,12317,12418,12584,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,11932,4053,4012,12015,12361,3963,12377,4007,11125,12240,12316,12376,12417,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,12265,12525,12600,12610,13120,13125,4536,10886,11266,13133,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,12287,12354,12421,12536,12580,12839,12860,12920,12940,12947,12954,12959,12962,12965,13002,13021,13032,13076,13102,13105,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,12123,12851,13008,13035,13066,13071,13094,3327,10926,10989,12290,12293,3399,12227,12917,12969,12973,12977,12981,12995,12999,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,12331,12424,12427,12529,12566,12647,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,12465,12650,13053,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,12261,12402,12443,12449,12548,12551,12570,12624,12630,12641,12657,12916,12932,12935,13042,13158,13173,3384,10754,10784,10793,10796,11356,12567,12581,12898,12902,12905,12908,3423,3416,3838,3777,10417,11744,11772,12878,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,12991,13108,3346,10787,10939,11012,11773,11925,12355,3801,11867,12835,4132,3534,4522,3846,4507,4508,4510,3302,3303,4509,4511,3632,11737,4224,11590,4538,10656,10659,4543,11111,11114,11287,11411,11451,3921,11448,11796,11800,12476,12484,12573,13114,3767,11055,11061,11074,12047,12179,12264,12544,3617,11182,11290,12399,12409,12481,12539,12547,12654,4089,3769,10790,11147,11296,11330,11341,12370,12480,12533,3477,11046,3586,10709,10712,10799,10968,3585,4541,11738,4537,12803,4542,10553,10662,12349,12358,12405,12594,4187,10929,12367,12373,12385,12408,4095,3800,12660,3745,11854,4539,10390,10393,10742,10745,11604,11797,12606,4540,11718,11806,3770,10706,10965,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,5020,5026,5042,5046,5047,5048,5053,5054,5078,5103,5105,5106,5116,5121,5127,5163,5164,5172,5180,5184,5186,5200,5202,5209,5214,5215,5228,5235,5238,5239,5243,5278,5293,5302,5304,5305,5308,5309,5310,5320,5321,5323,5329,5330,5331,5337,5341,5342,5343,5351,5354,5356,5362,5375,5383,5396,5398,5406,5410,5414,5442,5456,5457,5472,5483,5505,5511,5535,5536,5539,5558,5566,5567,5572,5573,5583,5585,5598,5602,5611,5612,5614,5615,5631,5636,5646,5647,5658,5665,5679,5683,5686,5692,5693,5694,5697,5702,5738,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5803,5804,5816,5827,5828,5835,5837,5840,5843,5848,5892,5906,5915,5918,5928,5932,5933,5934,5935,5936,5946,5956,5962,5980,5985,5994,6023,6039,6065,6084,6085,6088,6103,6105,6106,6108,6123,6124,6127,6129,6132,6133,6151,6159,6160,6161,6164,6166,6203,6204,6211,6214,6220,6224,6258,6260,6262,6264,6274,6276,6279,6285,6287,6292,6295,6303,6311,6313,6314,6321,6346,6347,6348,6349,6351,6358,6365,6401,6402,6406,6407,6408,6409,6410,6411,6412,6419,6457,6458,6467,6489,6490,6515,6518,6529,6530,6536,6568,6569,6584,6624,6627,6628,6644,6685,6711,6753,6769,6777,6786,6787,6788,6789,6809,6810,6817,6829,6832,6835,6837,6838,6839,6841,6855,6866,6867,6868,6881,6938,6951,6953,6973,6978,6979,7015,7060,7146,7176,7234,7255,7262,7265,7328,7338,7407,7409,7424,7431,7434,7435,7453,7457,7459,7509,7519,7525,7528,7540,7588,7591,7595,7639,7640,7658,7728,7746,7770,7794,7806,7821,7831,7842,7843,7869,7871,7873,7883,7926,7937,7962,7989,8022,8053,8089,8128,8144,8160,8161,8240,8305,8329,8348,8374,8468,8470,8476,8492,8496,8511,8532,8540,8542,8552,8557,8561,8562,8563,8564,8565,8566,8585,8600,8601,8613,8619,8620,8625,8626,8627,8628,8629,8647,8648,8649,8657,8670,8672,8683,8687,8689,8690,8691,8692,8699,8704,8713,8730,8731,8760,8773,8777,8795,8816,8817,8818,8819,8833,8834,8857,8866,8876,8877,8878,8881,8902,8903,8914,8963,8974,8990,9001,9002,9003,9013,9077,9108,9109,9110,9124,9140,9148,9176,9183,9257,9293,9303,9304,9305,9315,9343,9357,9361,9364,9387,9388,9415,9476,9481,9484,9520,9521,9522,9550,9551,9566,9584,9590,9600,9625,9646,9654,9655,9656,9657,9658,9672,9674,9679,9712,9713,9719,9720,9764,9765,9774,9797,9823,9825,9826,9834,9848,9872,9904,9906,9910,9957,9991,10004,10006,10010,10011,10013,10022,10023,10043,10048,10142,10224,10225,10282,10296,2,8,9,4570,4571,4589,4631,4632,4634,4657,4663,4664,4674,4719,4721,4769,4899,4900,4918,4941,4998,4999,5005,5006,5009,5010,5019,5022,5023,5031,5044,5045,5051,5073,5074,5092,5097,5098,5099,5100,5104,5112,5115,5122,5177,5182,5183,5188,5194,5225,5236,5241,5257,5274,5277,5284,5285,5287,5298,5316,5318,5319,5327,5334,5335,5347,5348,5349,5350,5352,5353,5358,5359,5360,5361,5392,5393,5394,5402,5403,5404,5405,5426,5435,5451,5453,5455,5490,5492,5493,5495,5496,5498,5499,5501,5510,5515,5517,5518,5519,5521,5523,5524,5525,5526,5527,5528,5537,5547,5550,5561,5577,5578,5581,5591,5594,5595,5596,5623,5633,5649,5650,5659,5660,5662,5664,5669,5704,5709,5711,5770,5805,5806,5820,5826,5829,5830,5831,5832,5844,5854,5857,5858,5866,5887,5920,5939,5940,5941,5944,5945,5947,5970,5974,5975,5976,5979,5996,6007,6008,6042,6046,6067,6072,6075,6096,6097,6125,6128,6137,6147,6149,6158,6162,6170,6171,6172,6173,6206,6207,6225,6278,6315,6317,6318,6343,6344,6350,6354,6355,6361,6376,6393,6414,6415,6420,6431,6433,6436,6450,6471,6477,6479,6494,6495,6499,6501,6502,6503,6505,6507,6508,6509,6516,6523,6524,6525,6526,6532,6534,6577,6583,6599,6602,6603,6604,6638,6643,6646,6651,6652,6663,6666,6681,6707,6708,6709,6710,6721,6726,6744,6748,6770,6790,6803,6804,6805,6811,6825,6847,6849,6851,6853,6856,6857,6862,6864,6878,6883,6885,6923,6926,6927,6943,6944,6945,6946,6967,6968,6986,7013,7037,7048,7050,7051,7053,7055,7087,7088,7089,7092,7093,7095,7097,7098,7099,7128,7137,7138,7149,7159,7200,7210,7216,7224,7235,7240,7242,7249,7269,7286,7307,7309,7326,7331,7388,7390,7391,7392,7399,7400,7406,7408,7474,7492,7506,7522,7523,7539,7571,7575,7598,7623,7641,7644,7645,7655,7674,7675,7677,7679,7681,7683,7684,7685,7736,7737,7769,7771,7772,7773,7779,7800,7817,7822,7828,7830,7838,7850,7851,7853,7881,7907,7974,7975,8025,8031,8032,8055,8056,8075,8076,8077,8136,8137,8138,8164,8199,8204,8218,8232,8261,8265,8271,8283,8301,8306,8328,8373,8401,8413,8432,8435,8461,8485,8543,8544,8547,8548,8651,8652,8653,8654,8678,8707,8734,8776,8794,8835,8851,8895,8898,8911,8918,8960,8978,8997,8998,9015,9016,9029,9145,9150,9155,9174,9195,9219,9221,9224,9230,9232,9233,9244,9245,9264,9271,9281,9330,9347,9400,9401,9407,9469,9473,9513,9526,9530,9531,9535,9536,9549,9571,9583,9591,9592,9594,9596,9624,9746,9747,9792,9793,9839,9877,9982,10052,10200,10216,10221,3,2661,2669,2670,2673,2675,2679,2680,2681,2684,2685,2686,2691,2692,2693,2695,2696,2697,2698,2700,2701,2702,2703,2706,2707,2708,2715,2719,2721,2722,2724,2725,2728,2729,2736,2738,2743,2757,2758,2762,2764,2765,2766,2769,2771,2780,2781,2782,2797,2800,2801,2802,2806,2807,2808,2810,2811,2812,2815,2842,2845,2846,2849,2861,2862,2870,2884,2886,2887,2903,2905,2925,5273,5315,5464,5465,5466,5548,5648,5678,5712,5728,5734,5736,5798,5799,5800,5801,5818,5856,5991,6040,6064,6100,6293,6300,6341,6342,6367,6369,6371,6378,6379,6380,6381,6382,6383,6384,6385,6386,6472,6546,6547,6636,6676,6677,6718,6719,6863,6877,6935,6956,6957,6963,6987,7020,7022,7026,7071,7090,7091,7108,7109,7110,7148,7194,7195,7293,7366,7367,7368,7369,7386,7425,7436,7479,7480,7488,7495,7497,7508,7542,7543,7544,7545,7691,7692,7698,7699,7701,7703,7777,7913,7916,7918,7919,7935,7972,8051,8094,8147,8169,8170,8247,8341,8411,8412,8414,8447,8481,8507,8508,8593,8594,8595,8596,8737,8976,8977,9043,9056,9111,9112,9241,9275,9298,9331,9369,9569,9835,10021,10077,10080,5888,6455,6456,6549])).
% 218.74/218.82 cnf(13198,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),f2(a1)),f822(f95(a1),x131981)))),
% 218.74/218.82 inference(rename_variables,[],[3423])).
% 218.74/218.82 cnf(13201,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),f2(a1)),f822(f95(a1),x132011)))),
% 218.74/218.82 inference(rename_variables,[],[3423])).
% 218.74/218.82 cnf(13202,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),x132021),x132021))),
% 218.74/218.82 inference(rename_variables,[],[3326])).
% 218.74/218.82 cnf(13205,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),f2(a885)),x132051))),
% 218.74/218.82 inference(rename_variables,[],[3346])).
% 218.74/218.82 cnf(13206,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x132061),x132061))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(13209,plain,
% 218.74/218.82 (~E(f822(a107,x132091),f2(a885))),
% 218.74/218.82 inference(rename_variables,[],[4474])).
% 218.74/218.82 cnf(13216,plain,
% 218.74/218.82 (P144(f822(f822(f226(f892(x132161,a882)),f822(f164(x132161),f168(x132161,x132162,x132163))),f822(f164(x132161),x132162)))),
% 218.74/218.82 inference(rename_variables,[],[4007])).
% 218.74/218.82 cnf(13221,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x132211),x132212),f182(f892(x132211,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(13224,plain,
% 218.74/218.82 (P144(f822(f60(a885),f294(a885,x132241,x132242)))),
% 218.74/218.82 inference(rename_variables,[],[3529])).
% 218.74/218.82 cnf(13225,plain,
% 218.74/218.82 (E(f822(f822(f181(a885),f822(a107,x132251)),f822(a107,x132252)),f822(a107,f822(f822(f181(a885),x132251),x132252)))),
% 218.74/218.82 inference(rename_variables,[],[3493])).
% 218.74/218.82 cnf(13228,plain,
% 218.74/218.82 (P144(f822(f60(a885),f294(a885,x132281,x132282)))),
% 218.74/218.82 inference(rename_variables,[],[3529])).
% 218.74/218.82 cnf(13229,plain,
% 218.74/218.82 (E(f822(f822(f230(a885),f822(a107,x132291)),f822(a107,x132292)),f822(a107,f822(f822(f230(a885),x132291),x132292)))),
% 218.74/218.82 inference(rename_variables,[],[3492])).
% 218.74/218.82 cnf(13232,plain,
% 218.74/218.82 (P144(f822(f60(a885),f294(a885,x132321,x132322)))),
% 218.74/218.82 inference(rename_variables,[],[3529])).
% 218.74/218.82 cnf(13240,plain,
% 218.74/218.82 (P144(f822(f60(x132401),f182(f892(x132401,a882))))),
% 218.74/218.82 inference(rename_variables,[],[3399])).
% 218.74/218.82 cnf(13241,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x132411),x132412),f182(f892(x132411,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(13242,plain,
% 218.74/218.82 (E(f822(f822(f18(x132421,x132422),x132423),x132424),x132423)),
% 218.74/218.82 inference(rename_variables,[],[3316])).
% 218.74/218.82 cnf(13245,plain,
% 218.74/218.82 (P144(f822(f822(f226(f892(x132451,a882)),f822(f164(x132451),f822(f128(x132451,x132452),x132453))),f822(f164(x132451),x132453)))),
% 218.74/218.82 inference(rename_variables,[],[3963])).
% 218.74/218.82 cnf(13246,plain,
% 218.74/218.82 (E(f822(f822(f18(x132461,x132462),x132463),x132464),x132463)),
% 218.74/218.82 inference(rename_variables,[],[3316])).
% 218.74/218.82 cnf(13249,plain,
% 218.74/218.82 (P144(f822(f822(f226(f892(x132491,a882)),f822(f164(x132491),f822(f822(f167(x132491),x132492),x132493))),f822(f164(x132491),x132493)))),
% 218.74/218.82 inference(rename_variables,[],[4002])).
% 218.74/218.82 cnf(13250,plain,
% 218.74/218.82 (E(f822(f822(f18(x132501,x132502),x132503),x132504),x132503)),
% 218.74/218.82 inference(rename_variables,[],[3316])).
% 218.74/218.82 cnf(13254,plain,
% 218.74/218.82 (E(f822(f822(f18(x132541,x132542),x132543),x132544),x132543)),
% 218.74/218.82 inference(rename_variables,[],[3316])).
% 218.74/218.82 cnf(13261,plain,
% 218.74/218.82 (P144(f822(f822(f226(f892(x132611,a882)),x132612),x132612))),
% 218.74/218.82 inference(rename_variables,[],[3617])).
% 218.74/218.82 cnf(13267,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),f2(a1)),f822(f95(a1),x132671)))),
% 218.74/218.82 inference(rename_variables,[],[3423])).
% 218.74/218.82 cnf(13271,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x132711),x132712),f182(f892(x132711,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(13274,plain,
% 218.74/218.82 (P144(f822(f822(f226(f892(x132741,a882)),f822(f164(x132741),f162(x132741,x132742,x132743))),f822(f164(x132741),x132743)))),
% 218.74/218.82 inference(rename_variables,[],[4008])).
% 218.74/218.82 cnf(13278,plain,
% 218.74/218.82 (~P144(f822(f822(f318(x132781),x132782),f182(f892(x132781,a882))))),
% 218.74/218.82 inference(rename_variables,[],[4528])).
% 218.74/218.82 cnf(13279,plain,
% 218.74/218.82 (E(f822(f273(x132791,x132791),f254(x132791,x132792)),x132792)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(13280,plain,
% 218.74/218.82 (P26(x132801,x132801,f7(x132801),x132802)),
% 218.74/218.82 inference(rename_variables,[],[3561])).
% 218.74/218.82 cnf(13284,plain,
% 218.74/218.82 (E(f822(f273(x132841,x132841),f254(x132841,x132842)),x132842)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(13290,plain,
% 218.74/218.82 (P144(f822(f822(f227(a885),x132901),f822(a107,x132901)))),
% 218.74/218.82 inference(rename_variables,[],[3391])).
% 218.74/218.82 cnf(13292,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),x132921),x132921))),
% 218.74/218.82 inference(rename_variables,[],[3325])).
% 218.74/218.82 cnf(13293,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),f2(a885)),x132931))),
% 218.74/218.82 inference(rename_variables,[],[3346])).
% 218.74/218.82 cnf(13296,plain,
% 218.74/218.82 (P144(f822(f822(f227(a885),x132961),f822(a107,x132961)))),
% 218.74/218.82 inference(rename_variables,[],[3391])).
% 218.74/218.82 cnf(13299,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),f2(a885)),x132991))),
% 218.74/218.82 inference(rename_variables,[],[3346])).
% 218.74/218.82 cnf(13303,plain,
% 218.74/218.82 (P144(f822(f822(f226(a885),f2(a885)),x133031))),
% 218.74/218.82 inference(rename_variables,[],[3346])).
% 218.74/218.82 cnf(13304,plain,
% 218.74/218.82 (P144(f822(f822(f227(a885),f2(a885)),f822(a107,x133041)))),
% 218.74/218.82 inference(rename_variables,[],[3403])).
% 218.74/218.82 cnf(13305,plain,
% 218.74/218.82 (E(f822(f273(x133051,x133051),f254(x133051,x133052)),x133052)),
% 218.74/218.82 inference(rename_variables,[],[3286])).
% 218.74/218.82 cnf(13384,plain,
% 218.74/218.82 (P144(f822(f822(f227(a1),f2(a1)),f822(f75(a1),f77(a1))))),
% 218.74/218.82 inference(scs_inference,[],[3537,12211,12231,12672,3561,11189,12246,12343,12438,12473,12477,12485,12498,12560,12699,12701,13115,13121,13126,13130,13136,13139,13163,13280,3569,12313,12776,12778,3577,3295,12685,12687,12689,3296,12758,3262,12635,4493,4494,11822,4246,12747,3299,12723,3140,3195,12691,3196,12695,3197,3198,3199,12516,12667,4492,3619,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,12309,12466,12530,12663,13181,13185,3379,3344,12681,3527,3246,4474,10534,10633,11179,13209,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2966,2971,2972,2975,2978,2979,2981,2984,2985,2986,2987,2988,2989,2991,2992,2995,2996,2999,3000,3001,3015,3017,3028,3035,3039,3040,3055,3056,3069,3072,3075,3076,3077,3078,3079,3083,3084,3086,3089,3100,3101,3117,4460,3122,3194,4461,3657,3884,11755,3173,11459,3307,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,12214,12414,12613,12665,12679,12711,12713,12721,12727,12733,12739,12764,12774,12985,13154,13279,13284,13305,3257,12501,12505,12509,3263,3272,3779,4077,3240,3390,12563,12638,3162,3163,3520,3870,11505,3224,3186,3182,3985,3878,3700,3170,3150,3791,3205,3380,10936,12310,12520,3256,3952,4483,10368,10531,11370,12462,12502,12506,4490,12470,3316,11842,11845,13083,13170,13242,13246,13250,13254,3911,4526,11102,11194,11420,11423,3291,3719,3311,10860,3427,3643,3419,4504,3394,12745,3220,3221,10438,10757,4513,3480,3214,3141,3244,11495,4091,12488,12625,3954,11122,11242,11299,12446,12452,12574,12577,12603,4544,11039,11255,11364,11387,11428,11434,12393,4545,11158,11258,11367,11431,4546,11261,11310,4547,11317,4548,3241,3518,12346,12390,12469,3684,3469,4359,4360,3502,3542,4481,11488,3661,3621,3663,3834,3588,12968,12972,12976,12980,12994,3880,12340,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,12275,12607,12846,12873,12887,12951,13011,13018,13184,13189,13290,13296,3772,11741,3309,3403,11564,11855,13304,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,12396,12492,12794,12813,12816,12838,12888,13065,13070,13093,13098,4532,11607,11638,11680,11687,11721,12897,12901,3759,3528,3529,12819,12822,12825,12828,12854,12857,13224,13228,13232,3531,3903,3492,13229,3493,13225,3352,3354,3328,4516,3219,4478,3710,4013,3511,4533,4084,11384,3642,3365,11861,11864,12317,12418,12584,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,11932,4053,4012,12015,12361,3963,12377,12519,13245,4002,13249,4007,11125,12240,12316,12376,12417,13086,13216,4008,13274,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,12265,12525,12600,12610,13120,13125,4536,10886,11266,13133,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,12287,12354,12421,12536,12580,12839,12860,12920,12940,12947,12954,12959,12962,12965,13002,13021,13032,13076,13102,13105,13206,13292,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,12123,12851,13008,13035,13066,13071,13094,13099,13202,3327,10926,10989,12290,12293,13179,3399,12227,12917,12969,12973,12977,12981,12995,12999,13240,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,12331,12424,12427,12529,12566,12647,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,12465,12650,13053,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,12261,12402,12443,12449,12548,12551,12570,12624,12630,12641,12657,12916,12932,12935,13042,13158,13173,13176,13221,13241,13271,13278,3384,10754,10784,10793,10796,11356,12567,12581,12898,12902,12905,12908,3423,13198,13201,13267,3416,3838,3777,10417,11744,11772,12878,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,12991,13108,3346,10787,10939,11012,11773,11925,12355,12929,13205,13293,13299,13303,3801,11867,12835,4132,3534,4522,3846,4507,4508,4510,3302,3303,4509,4511,4297,3632,11737,4224,11590,4538,10656,10659,4543,11111,11114,11287,11411,11451,3921,11448,11796,11800,12476,12484,12573,13114,3767,11055,11061,11074,12047,12179,12264,12544,3617,11182,11290,12399,12409,12481,12539,12547,12654,13059,13261,4089,3769,10790,11147,11296,11330,11341,12370,12480,12533,13150,3477,11046,3586,10709,10712,10799,10968,3585,4541,11738,4537,12803,4542,10553,10662,12349,12358,12405,12594,4187,10929,12367,12373,12385,12408,4095,3800,12660,3745,11854,4539,10390,10393,10742,10745,11604,11797,12606,4540,11718,11806,3770,10706,10965,13188,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,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% 218.74/218.82 cnf(13424,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a885),f2(a885)),f28(a25)))),
% 218.74/218.82 inference(scs_inference,[],[3537,12211,12231,12672,3561,11189,12246,12343,12438,12473,12477,12485,12498,12560,12699,12701,13115,13121,13126,13130,13136,13139,13163,13280,3569,12313,12776,12778,3577,3295,12685,12687,12689,3296,12758,3262,12635,4493,4494,11822,4246,12747,3299,12723,3140,3195,12691,3196,12695,3197,3198,3199,12516,12667,4492,3619,4464,10308,10315,10328,10339,10342,10446,10449,10452,10550,10678,10984,11131,11169,11172,11373,11462,11469,11483,11529,11532,11565,11580,11643,11708,11724,12026,12051,12065,12097,12103,12196,12309,12466,12530,12663,13181,13185,3379,3344,12681,3527,3246,4474,10534,10633,11179,13209,2932,2933,2939,2942,2943,2946,2947,2950,2951,2956,2965,2966,2971,2972,2975,2978,2979,2981,2984,2985,2986,2987,2988,2989,2991,2992,2995,2996,2999,3000,3001,3015,3017,3028,3035,3039,3040,3055,3056,3069,3072,3075,3076,3077,3078,3079,3083,3084,3086,3089,3100,3101,3117,4460,3122,3194,4461,3657,3884,11755,3173,11459,3307,3286,10377,10380,10476,10479,10781,11474,11477,11591,11630,11635,11750,11790,12214,12414,12613,12665,12679,12711,12713,12721,12727,12733,12739,12764,12774,12985,13154,13279,13284,13305,3257,12501,12505,12509,3263,3272,3779,4077,3240,3390,12563,12638,3162,3163,3520,3870,11505,3224,3186,3182,3985,3878,3700,3170,3150,3791,3205,3380,10936,12310,12520,3256,3952,4483,10368,10531,11370,12462,12502,12506,4490,12470,3316,11842,11845,13083,13170,13242,13246,13250,13254,3911,4526,11102,11194,11420,11423,3291,3719,3311,10860,3427,3643,3419,4504,3394,12745,3220,3221,10438,10757,4513,3480,3214,3141,3244,11495,4091,12488,12625,3954,11122,11242,11299,12446,12452,12574,12577,12603,4544,11039,11255,11364,11387,11428,11434,12393,4545,11158,11258,11367,11431,4546,11261,11310,4547,11317,4548,3241,3518,12346,12390,12469,3684,3469,4359,4360,3502,3542,4481,11488,3661,3621,3663,3834,3588,12968,12972,12976,12980,12994,3880,12340,3504,3762,3391,10457,10460,10573,10647,10717,10720,10760,10857,11092,11684,11894,11942,12022,12090,12167,12202,12272,12275,12607,12846,12873,12887,12951,13011,13018,13184,13189,13290,13296,3772,11741,3309,3403,11564,11855,13304,3583,4519,10345,10348,10374,10868,10883,10997,11406,11498,11648,11683,11908,11916,12143,12146,12396,12492,12794,12813,12816,12838,12888,13065,13070,13093,13098,4532,11607,11638,11680,11687,11721,12897,12901,3759,3528,3529,12819,12822,12825,12828,12854,12857,13224,13228,13232,3531,3903,3492,13229,3493,13225,3352,3354,3328,4516,3219,4478,3710,4013,3511,4533,4084,11384,3642,3365,11861,11864,12317,12418,12584,4524,10333,10336,10502,10594,10613,10620,10642,10650,10653,10667,10850,11079,11279,11558,11657,11809,11929,11932,4053,4012,12015,12361,3963,12377,12519,13245,4002,13249,4007,11125,12240,12316,12376,12417,13086,13216,4008,13274,3685,11691,12025,12174,12251,12300,4041,3702,11128,11199,11274,11336,12195,12265,12525,12600,12610,13120,13125,4536,10886,11266,13133,3325,10469,10560,10703,10767,10839,10889,10892,10923,10942,10978,11019,11058,11812,11858,11995,12050,12068,12071,12074,12077,12128,12243,12258,12278,12281,12284,12287,12354,12421,12536,12580,12839,12860,12920,12940,12947,12954,12959,12962,12965,13002,13021,13032,13076,13102,13105,13206,13292,3326,10547,10772,10863,10981,11583,11704,11891,11897,11911,12001,12012,12033,12038,12080,12083,12108,12123,12851,13008,13035,13066,13071,13094,13099,13202,3327,10926,10989,12290,12293,13179,3399,12227,12917,12969,12973,12977,12981,12995,12999,13240,4515,10385,10414,10907,10945,10954,11769,11793,11957,11960,11963,11966,12064,12086,12089,12102,12155,12158,12161,12164,12328,12331,12424,12427,12529,12566,12647,3476,10723,10992,11036,11245,11248,11325,11403,11568,11825,12465,12650,13053,4528,10916,11028,11049,11052,11105,11108,11119,11213,11223,11235,11269,11284,11293,11333,11376,11381,11397,11400,11437,11442,11445,11690,11839,11870,12149,12152,12186,12228,12261,12402,12443,12449,12548,12551,12570,12624,12630,12641,12657,12916,12932,12935,13042,13158,13173,13176,13221,13241,13271,13278,3384,10754,10784,10793,10796,11356,12567,12581,12898,12902,12905,12908,3423,13198,13201,13267,3416,3838,3777,10417,11744,11772,12878,4525,10365,10748,10751,11216,11232,11707,11760,11801,11826,11926,11969,11972,11975,11978,12991,13108,3346,10787,10939,11012,11773,11925,12355,12929,13205,13293,13299,13303,3801,11867,12835,4132,3534,4522,3846,4507,4508,4510,3302,3303,4509,4511,4297,3632,11737,4224,11590,4538,10656,10659,4543,11111,11114,11287,11411,11451,3921,11448,11796,11800,12476,12484,12573,13114,3767,11055,11061,11074,12047,12179,12264,12544,3617,11182,11290,12399,12409,12481,12539,12547,12654,13059,13261,4089,3769,10790,11147,11296,11330,11341,12370,12480,12533,13150,3477,11046,3586,10709,10712,10799,10968,3585,4541,11738,4537,12803,4542,10553,10662,12349,12358,12405,12594,4187,10929,12367,12373,12385,12408,4095,3800,12660,3745,11854,4539,10390,10393,10742,10745,11604,11797,12606,4540,11718,11806,3770,10706,10965,13188,3771,4027,4555,4583,4642,4670,4685,4692,4694,4730,4735,4764,4770,4856,4882,4883,4898,4924,4952,4953,4976,4978,4991,4995,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% 218.74/218.82 cnf(13607,plain,
% 218.74/218.82 (~E(f822(f822(f143(x136071),x136072),x136073),x136073)),
% 218.74/218.82 inference(rename_variables,[],[4483])).
% 218.74/218.82 cnf(13610,plain,
% 218.74/218.82 (~P144(f822(f822(f318(f891(x136101,x136101)),x136102),f254(x136101,f182(f892(x136101,a882)))))),
% 218.74/218.82 inference(rename_variables,[],[11048])).
% 218.74/218.82 cnf(13617,plain,
% 218.74/218.82 (P144(f822(f822(f318(x136171),f822(x136172,x136173)),f822(f299(x136174,x136171,x136172),f233(f892(x136174,a882)))))),
% 218.74/218.82 inference(rename_variables,[],[3921])).
% 218.74/218.82 cnf(13621,plain,
% 218.74/218.82 (~P144(f822(f822(f227(a885),x136211),x136211))),
% 218.74/218.82 inference(rename_variables,[],[4515])).
% 218.74/218.82 cnf(13626,plain,
% 218.74/218.82 (P144(f822(f822(f226(a1),f44(a885,x136261,f28(a25))),x136261))),
% 218.74/218.82 inference(rename_variables,[],[11890])).
% 218.74/218.83 cnf(13642,plain,
% 218.74/218.83 (~P144(f822(f822(f318(x136421),x136422),f822(f300(x136421,x136423,x136424),f182(f892(x136423,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[11051])).
% 218.74/218.83 cnf(13647,plain,
% 218.74/218.83 (~P144(f822(f822(f318(a885),x136471),f822(f271(a885),f2(a885))))),
% 218.74/218.83 inference(rename_variables,[],[11884])).
% 218.74/218.83 cnf(13658,plain,
% 218.74/218.83 (~P144(f822(f822(f318(a885),x136581),f822(f271(a885),f2(a885))))),
% 218.74/218.83 inference(rename_variables,[],[11884])).
% 218.74/218.83 cnf(13667,plain,
% 218.74/218.83 (P144(f822(f822(f276(a885),x136671),x136671))),
% 218.74/218.83 inference(rename_variables,[],[3327])).
% 218.74/218.83 cnf(13670,plain,
% 218.74/218.83 (~E(f822(f822(f143(x136701),x136702),x136703),x136703)),
% 218.74/218.83 inference(rename_variables,[],[4483])).
% 218.74/218.83 cnf(13673,plain,
% 218.74/218.83 (~P144(f822(f822(f318(x136731),x136732),f182(f892(x136731,a882))))),
% 218.74/218.83 inference(rename_variables,[],[4528])).
% 218.74/218.83 cnf(13684,plain,
% 218.74/218.83 (~E(f822(f822(f230(a885),f822(a107,x136841)),x136841),f822(a107,x136841))),
% 218.74/218.83 inference(rename_variables,[],[11621])).
% 218.74/218.83 cnf(13687,plain,
% 218.74/218.83 (E(f822(f273(x136871,x136871),f254(x136871,x136872)),x136872)),
% 218.74/218.83 inference(rename_variables,[],[3286])).
% 218.74/218.83 cnf(13696,plain,
% 218.74/218.83 (~E(f822(f822(f143(x136961),x136962),x136963),x136963)),
% 218.74/218.83 inference(rename_variables,[],[4483])).
% 218.74/218.83 cnf(13703,plain,
% 218.74/218.83 (~P144(f822(f822(f318(x137031),x137032),f182(f892(x137031,a882))))),
% 218.74/218.83 inference(rename_variables,[],[4528])).
% 218.74/218.83 cnf(13708,plain,
% 218.74/218.83 (P144(f822(f822(f226(f892(x137081,a882)),f822(f164(x137081),f822(f128(x137081,x137082),x137083))),f822(f164(x137081),x137083)))),
% 218.74/218.83 inference(rename_variables,[],[3963])).
% 218.74/218.83 cnf(13721,plain,
% 218.74/218.83 (E(f822(x137211,f381(f233(f892(x137212,a882)),x137211,x137212,f822(x137211,x137213))),f822(x137211,x137213))),
% 218.74/218.83 inference(rename_variables,[],[11076])).
% 218.74/218.83 cnf(13724,plain,
% 218.74/218.83 (~P144(f822(f822(f182(f892(x137241,f892(x137242,a882))),x137243),x137244))),
% 218.74/218.83 inference(rename_variables,[],[4542])).
% 218.74/218.83 cnf(13731,plain,
% 218.74/218.83 (~P33(x137311,x137312,x137313,f822(f822(f146(x137314,x137311),x137315),f822(a107,f108(x137314))),f108(x137312))),
% 218.74/218.83 inference(rename_variables,[],[11301])).
% 218.74/218.83 cnf(13734,plain,
% 218.74/218.83 (~E(f822(f822(f298(x137341),x137342),x137343),f182(f892(x137341,a882)))),
% 218.74/218.83 inference(rename_variables,[],[4504])).
% 218.74/218.83 cnf(13737,plain,
% 218.74/218.83 (~P144(f822(f822(f318(a885),x137371),f822(f271(a885),f2(a885))))),
% 218.74/218.83 inference(rename_variables,[],[11884])).
% 218.74/218.83 cnf(13755,plain,
% 218.74/218.83 (P144(f822(f822(f226(f892(x137551,a882)),f822(f164(x137551),f822(f128(x137551,x137552),x137553))),f822(f164(x137551),x137553)))),
% 218.74/218.83 inference(rename_variables,[],[3963])).
% 218.74/218.83 cnf(13769,plain,
% 218.74/218.83 (P144(f822(f822(f226(f892(x137691,a882)),f822(f274(x137692,x137691,x137693),f182(f892(x137692,a882)))),x137694))),
% 218.74/218.83 inference(rename_variables,[],[11340])).
% 218.74/218.83 cnf(13772,plain,
% 218.74/218.83 (~E(f822(f822(f230(a885),f822(a107,x137721)),x137721),f822(a107,x137721))),
% 218.74/218.83 inference(rename_variables,[],[11621])).
% 218.74/218.83 cnf(13777,plain,
% 218.74/218.83 (~P144(f822(f822(f318(f891(x137771,x137771)),x137772),f254(x137771,f182(f892(x137771,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[11048])).
% 218.74/218.83 cnf(13784,plain,
% 218.74/218.83 (P144(f822(f822(f226(a1),x137841),x137841))),
% 218.74/218.83 inference(rename_variables,[],[3326])).
% 218.74/218.83 cnf(13787,plain,
% 218.74/218.83 (P144(f822(f822(f226(a885),x137871),f822(f822(f80(a885),x137871),x137871)))),
% 218.74/218.83 inference(rename_variables,[],[3586])).
% 218.74/218.83 cnf(13792,plain,
% 218.74/218.83 (P33(x137921,x137922,x137923,f822(f822(f146(x137924,x137921),x137925),f109(x137924,f108(x137924))),f108(x137922))),
% 218.74/218.83 inference(rename_variables,[],[11305])).
% 218.74/218.83 cnf(13797,plain,
% 218.74/218.83 (P144(f822(f822(f226(a885),x137971),f822(f822(f79(a885),x137971),x137972)))),
% 218.74/218.83 inference(rename_variables,[],[3585])).
% 218.74/218.83 cnf(13800,plain,
% 218.74/218.83 (~P144(f822(f822(f227(a885),x138001),x138001))),
% 218.74/218.83 inference(rename_variables,[],[4515])).
% 218.74/218.83 cnf(13803,plain,
% 218.74/218.83 (~P144(f822(f822(f318(x138031),x138032),f182(f892(x138031,a882))))),
% 218.74/218.83 inference(rename_variables,[],[4528])).
% 218.74/218.83 cnf(13812,plain,
% 218.74/218.83 (~P144(f822(f822(f318(a885),x138121),f822(f271(a885),f2(a885))))),
% 218.74/218.83 inference(rename_variables,[],[11884])).
% 218.74/218.83 cnf(13818,plain,
% 218.74/218.83 (P144(f822(f822(f227(a1),f822(f822(f3(a1),x138181),f77(a1))),x138181))),
% 218.74/218.83 inference(rename_variables,[],[10862])).
% 218.74/218.83 cnf(13821,plain,
% 218.74/218.83 (P144(f822(f822(f226(f892(x138211,a882)),f822(f164(x138211),f822(f128(x138211,x138212),x138213))),f822(f164(x138211),x138213)))),
% 218.74/218.83 inference(rename_variables,[],[3963])).
% 218.74/218.83 cnf(13835,plain,
% 218.74/218.83 (~E(f822(f822(f143(x138351),x138352),x138353),x138353)),
% 218.74/218.83 inference(rename_variables,[],[4483])).
% 218.74/218.83 cnf(13848,plain,
% 218.74/218.83 (~P144(f822(f822(f318(x138481),x138482),f822(f299(x138483,x138481,x138484),f182(f892(x138483,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[11268])).
% 218.74/218.83 cnf(13851,plain,
% 218.74/218.83 (~E(f822(f822(f143(x138511),x138512),x138513),x138513)),
% 218.74/218.83 inference(rename_variables,[],[4483])).
% 218.74/218.83 cnf(13854,plain,
% 218.74/218.83 (P144(f822(f822(f226(a885),x138541),f822(f822(f79(a885),x138541),x138542)))),
% 218.74/218.83 inference(rename_variables,[],[3585])).
% 218.74/218.83 cnf(13861,plain,
% 218.74/218.83 (~P144(f822(f822(f318(a885),x138611),f822(f271(a885),f2(a885))))),
% 218.74/218.83 inference(rename_variables,[],[11884])).
% 218.74/218.83 cnf(13868,plain,
% 218.74/218.83 (~P144(f822(f822(f318(f891(x138681,x138681)),x138682),f254(x138681,f182(f892(x138681,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[11048])).
% 218.74/218.83 cnf(13873,plain,
% 218.74/218.83 (~P144(f822(f822(f226(a885),f822(a107,x138731)),x138731))),
% 218.74/218.83 inference(rename_variables,[],[4525])).
% 218.74/218.83 cnf(13878,plain,
% 218.74/218.83 (~P144(f822(f822(f318(x138781),x138782),f182(f892(x138781,a882))))),
% 218.74/218.83 inference(rename_variables,[],[4528])).
% 218.74/218.83 cnf(13887,plain,
% 218.74/218.83 (~P144(f822(f822(f227(a885),x138871),x138871))),
% 218.74/218.83 inference(rename_variables,[],[4515])).
% 218.74/218.83 cnf(13890,plain,
% 218.74/218.83 (P144(f822(f822(f276(a885),x138901),x138901))),
% 218.74/218.83 inference(rename_variables,[],[3327])).
% 218.74/218.83 cnf(13893,plain,
% 218.74/218.83 (P144(f822(f822(f226(a885),x138931),f822(f822(f79(a885),x138931),x138932)))),
% 218.74/218.83 inference(rename_variables,[],[3585])).
% 218.74/218.83 cnf(13900,plain,
% 218.74/218.83 (~E(f822(f822(f143(x139001),x139002),x139003),f108(x139001))),
% 218.74/218.83 inference(rename_variables,[],[4490])).
% 218.74/218.83 cnf(13903,plain,
% 218.74/218.83 (P144(f822(f822(f227(a1),f822(f822(f3(a1),x139031),f77(a1))),x139031))),
% 218.74/218.83 inference(rename_variables,[],[10862])).
% 218.74/218.83 cnf(13908,plain,
% 218.74/218.83 (P144(f822(f822(f226(f892(x139081,a882)),f182(f892(x139081,a882))),x139082))),
% 218.74/218.83 inference(rename_variables,[],[3769])).
% 218.74/218.83 cnf(13911,plain,
% 218.74/218.83 (~P144(f822(f822(f318(x139111),x139112),f182(f892(x139111,a882))))),
% 218.74/218.83 inference(rename_variables,[],[4528])).
% 218.74/218.83 cnf(13916,plain,
% 218.74/218.83 (~P144(f822(f822(f318(f891(f887(x139161),f887(x139161))),f822(f822(f243(f887(x139161),f887(x139161)),x139162),f108(x139161))),f137(x139161,x139163)))),
% 218.74/218.83 inference(rename_variables,[],[4544])).
% 218.74/218.83 cnf(13919,plain,
% 218.74/218.83 (~E(f822(f822(f143(x139191),x139192),x139193),x139193)),
% 218.74/218.83 inference(rename_variables,[],[4483])).
% 218.74/218.83 cnf(13924,plain,
% 218.74/218.83 (E(f822(f822(f126(x139241),f108(x139241)),x139242),x139242)),
% 218.74/218.83 inference(rename_variables,[],[3281])).
% 218.74/218.83 cnf(13937,plain,
% 218.74/218.83 (~P144(f822(f822(f318(f891(x139371,x139371)),x139372),f254(x139371,f182(f892(x139371,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[11048])).
% 218.74/218.83 cnf(13940,plain,
% 218.74/218.83 (P144(f822(f822(f318(x139401),f822(x139402,x139403)),f822(f299(x139404,x139401,x139402),f233(f892(x139404,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[3921])).
% 218.74/218.83 cnf(13943,plain,
% 218.74/218.83 (P144(f822(f822(f226(f892(x139431,a882)),x139432),f822(f822(f96(f892(x139431,a882)),x139433),f233(f892(x139431,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[11273])).
% 218.74/218.83 cnf(13953,plain,
% 218.74/218.83 (P144(f822(f822(f226(a885),x139531),f822(f822(f80(a885),x139531),x139531)))),
% 218.74/218.83 inference(rename_variables,[],[3586])).
% 218.74/218.83 cnf(13956,plain,
% 218.74/218.83 (P144(f822(f822(f226(f892(x139561,a882)),x139562),x139562))),
% 218.74/218.83 inference(rename_variables,[],[3617])).
% 218.74/218.83 cnf(13964,plain,
% 218.74/218.83 (~P144(f822(f822(f318(x139641),x139642),f182(f892(x139641,a882))))),
% 218.74/218.83 inference(rename_variables,[],[4528])).
% 218.74/218.83 cnf(13980,plain,
% 218.74/218.83 (~P144(f822(f822(f318(f891(f887(x139801),f887(x139801))),f822(f822(f243(f887(x139801),f887(x139801)),f108(x139801)),x139802)),f149(x139801,x139803)))),
% 218.74/218.83 inference(rename_variables,[],[4548])).
% 218.74/218.83 cnf(13983,plain,
% 218.74/218.83 (~P144(f822(f822(f318(x139831),x139832),f822(f300(x139831,x139833,x139834),f182(f892(x139833,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[11051])).
% 218.74/218.83 cnf(13986,plain,
% 218.74/218.83 (~P144(f822(f822(f227(a885),f822(f822(f79(a885),x139861),x139862)),x139861))),
% 218.74/218.83 inference(rename_variables,[],[4540])).
% 218.74/218.83 cnf(13999,plain,
% 218.74/218.83 (~E(f822(f822(f143(x139991),x139992),x139993),x139993)),
% 218.74/218.83 inference(rename_variables,[],[4483])).
% 218.74/218.83 cnf(14004,plain,
% 218.74/218.83 (~P144(f822(f822(f318(x140041),x140042),f182(f892(x140041,a882))))),
% 218.74/218.83 inference(rename_variables,[],[4528])).
% 218.74/218.83 cnf(14013,plain,
% 218.74/218.83 (E(f822(x140131,f381(f233(f892(x140132,a882)),x140131,x140132,f822(x140131,x140133))),f822(x140131,x140133))),
% 218.74/218.83 inference(rename_variables,[],[11076])).
% 218.74/218.83 cnf(14016,plain,
% 218.74/218.83 (~E(f822(f822(f143(x140161),x140162),x140163),x140163)),
% 218.74/218.83 inference(rename_variables,[],[4483])).
% 218.74/218.83 cnf(14026,plain,
% 218.74/218.83 (P144(f822(f822(f226(f892(x140261,a882)),x140262),x140262))),
% 218.74/218.83 inference(rename_variables,[],[3617])).
% 218.74/218.83 cnf(14035,plain,
% 218.74/218.83 (~P144(f822(f822(f227(a885),f822(f822(f79(a885),x140351),x140352)),x140352))),
% 218.74/218.83 inference(rename_variables,[],[4539])).
% 218.74/218.83 cnf(14043,plain,
% 218.74/218.83 (~P144(f822(f61(x140431,x140432,f182(f892(x140431,a882))),x140433))),
% 218.74/218.83 inference(rename_variables,[],[4538])).
% 218.74/218.83 cnf(14055,plain,
% 218.74/218.83 (~P144(f822(f822(f318(f891(x140551,x140551)),x140552),f254(x140551,f182(f892(x140551,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[11048])).
% 218.74/218.83 cnf(14060,plain,
% 218.74/218.83 (P144(f822(f822(f276(a885),x140601),x140601))),
% 218.74/218.83 inference(rename_variables,[],[3327])).
% 218.74/218.83 cnf(14063,plain,
% 218.74/218.83 (~P144(f822(f822(f227(a885),x140631),x140631))),
% 218.74/218.83 inference(rename_variables,[],[4515])).
% 218.74/218.83 cnf(14066,plain,
% 218.74/218.83 (~P144(f822(f61(x140661,x140662,f182(f892(x140661,a882))),x140663))),
% 218.74/218.83 inference(rename_variables,[],[4538])).
% 218.74/218.83 cnf(14084,plain,
% 218.74/218.83 (P144(f822(f822(f226(a885),f2(a885)),x140841))),
% 218.74/218.83 inference(rename_variables,[],[3346])).
% 218.74/218.83 cnf(14092,plain,
% 218.74/218.83 (~P144(f822(f61(x140921,x140922,f182(f892(x140921,a882))),x140923))),
% 218.74/218.83 inference(rename_variables,[],[4538])).
% 218.74/218.83 cnf(14099,plain,
% 218.74/218.83 (P144(f822(f822(f226(f892(x140991,a882)),f822(f164(x140991),f822(f128(x140991,x140992),x140993))),f822(f164(x140991),x140993)))),
% 218.74/218.83 inference(rename_variables,[],[3963])).
% 218.74/218.83 cnf(14106,plain,
% 218.74/218.83 (~P144(f822(f61(x141061,x141062,f182(f892(x141061,a882))),x141063))),
% 218.74/218.83 inference(rename_variables,[],[4538])).
% 218.74/218.83 cnf(14118,plain,
% 218.74/218.83 (P144(f822(f822(f318(x141181),f822(x141182,x141183)),f822(f299(x141184,x141181,x141182),f233(f892(x141184,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[3921])).
% 218.74/218.83 cnf(14130,plain,
% 218.74/218.83 (~P144(f822(f822(f227(a885),f822(f822(f79(a885),x141301),x141302)),x141301))),
% 218.74/218.83 inference(rename_variables,[],[4540])).
% 218.74/218.83 cnf(14133,plain,
% 218.74/218.83 (E(f822(x141331,f381(f233(f892(x141332,a882)),x141331,x141332,f822(x141331,x141333))),f822(x141331,x141333))),
% 218.74/218.83 inference(rename_variables,[],[11076])).
% 218.74/218.83 cnf(14136,plain,
% 218.74/218.83 (E(f822(x141361,f381(f233(f892(x141362,a882)),x141361,x141362,f822(x141361,x141363))),f822(x141361,x141363))),
% 218.74/218.83 inference(rename_variables,[],[11076])).
% 218.74/218.83 cnf(14139,plain,
% 218.74/218.83 (E(f822(f822(f126(x141391),x141392),f108(x141391)),x141392)),
% 218.74/218.83 inference(rename_variables,[],[3257])).
% 218.74/218.83 cnf(14156,plain,
% 218.74/218.83 (P144(f822(f822(f227(a1),f822(f822(f3(a1),x141561),f77(a1))),x141561))),
% 218.74/218.83 inference(rename_variables,[],[10862])).
% 218.74/218.83 cnf(14161,plain,
% 218.74/218.83 (~E(f822(f822(f143(x141611),x141612),x141613),f108(x141611))),
% 218.74/218.83 inference(rename_variables,[],[4490])).
% 218.74/218.83 cnf(14170,plain,
% 218.74/218.83 (E(f822(x141701,f381(f233(f892(x141702,a882)),x141701,x141702,f822(x141701,x141703))),f822(x141701,x141703))),
% 218.74/218.83 inference(rename_variables,[],[11076])).
% 218.74/218.83 cnf(14182,plain,
% 218.74/218.83 (~E(x141821,f822(a107,x141821))),
% 218.74/218.83 inference(rename_variables,[],[10400])).
% 218.74/218.83 cnf(14189,plain,
% 218.74/218.83 (~P144(f822(f822(f318(a885),x141891),f822(f271(a885),f2(a885))))),
% 218.74/218.83 inference(rename_variables,[],[11884])).
% 218.74/218.83 cnf(14192,plain,
% 218.74/218.83 (~P144(f822(f822(f318(x141921),x141922),f182(f892(x141921,a882))))),
% 218.74/218.83 inference(rename_variables,[],[4528])).
% 218.74/218.83 cnf(14195,plain,
% 218.74/218.83 (~P144(f822(f822(f318(x141951),x141952),f822(f299(x141953,x141951,x141954),f182(f892(x141953,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[11268])).
% 218.74/218.83 cnf(14203,plain,
% 218.74/218.83 (~P144(f822(f822(f318(x142031),x142032),f182(f892(x142031,a882))))),
% 218.74/218.83 inference(rename_variables,[],[4528])).
% 218.74/218.83 cnf(14206,plain,
% 218.74/218.83 (E(f822(f822(f126(x142061),x142062),f108(x142061)),x142062)),
% 218.74/218.83 inference(rename_variables,[],[3257])).
% 218.74/218.83 cnf(14211,plain,
% 218.74/218.83 (~E(f822(f822(f143(x142111),x142112),x142113),x142113)),
% 218.74/218.83 inference(rename_variables,[],[4483])).
% 218.74/218.83 cnf(14214,plain,
% 218.74/218.83 (~P144(f822(f822(f226(a885),f822(f822(f80(a885),f822(a107,x142141)),f822(a107,x142141))),x142141))),
% 218.74/218.83 inference(rename_variables,[],[10798])).
% 218.74/218.83 cnf(14217,plain,
% 218.74/218.83 (P144(f822(f822(f226(f892(x142171,a882)),x142172),x142172))),
% 218.74/218.83 inference(rename_variables,[],[3617])).
% 218.74/218.83 cnf(14222,plain,
% 218.74/218.83 (P144(f822(f822(f226(a885),x142221),f822(f822(f80(a885),x142221),x142221)))),
% 218.74/218.83 inference(rename_variables,[],[3586])).
% 218.74/218.83 cnf(14225,plain,
% 218.74/218.83 (~P144(f822(f822(f318(f891(x142251,x142251)),x142252),f254(x142251,f182(f892(x142251,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[11048])).
% 218.74/218.83 cnf(14250,plain,
% 218.74/218.83 (P144(f822(f822(f226(a885),x142501),f822(f822(f80(a885),x142501),x142501)))),
% 218.74/218.83 inference(rename_variables,[],[3586])).
% 218.74/218.83 cnf(14253,plain,
% 218.74/218.83 (~P144(f822(f822(f318(x142531),x142532),f822(f300(x142531,x142533,x142534),f182(f892(x142533,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[11051])).
% 218.74/218.83 cnf(14266,plain,
% 218.74/218.83 (~P144(f822(f822(f318(f891(x142661,x142661)),x142662),f254(x142661,f182(f892(x142661,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[11048])).
% 218.74/218.83 cnf(14273,plain,
% 218.74/218.83 (P144(f822(f822(f318(x142731),f822(x142732,x142733)),f822(f299(x142734,x142731,x142732),f233(f892(x142734,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[3921])).
% 218.74/218.83 cnf(14304,plain,
% 218.74/218.83 (~E(f822(f822(f143(x143041),x143042),x143043),x143043)),
% 218.74/218.83 inference(rename_variables,[],[4483])).
% 218.74/218.83 cnf(14321,plain,
% 218.74/218.83 (P144(f822(f822(f318(x143211),f822(x143212,x143213)),f822(f299(x143214,x143211,x143212),f233(f892(x143214,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[3921])).
% 218.74/218.83 cnf(14332,plain,
% 218.74/218.83 (~P144(f822(f822(f226(a885),f822(f822(f80(a885),f822(a107,x143321)),f822(a107,x143321))),x143321))),
% 218.74/218.83 inference(rename_variables,[],[10798])).
% 218.74/218.83 cnf(14380,plain,
% 218.74/218.83 (P144(f822(f822(f226(a885),x143801),f822(f822(f80(a885),x143801),x143801)))),
% 218.74/218.83 inference(rename_variables,[],[3586])).
% 218.74/218.83 cnf(14418,plain,
% 218.74/218.83 (P144(f822(f822(f226(f892(x144181,a882)),f822(f164(x144181),f822(f128(x144181,x144182),x144183))),f822(f164(x144181),x144183)))),
% 218.74/218.83 inference(rename_variables,[],[3963])).
% 218.74/218.83 cnf(14421,plain,
% 218.74/218.83 (~P144(f822(f822(f226(a885),f822(f822(f80(a885),f822(a107,x144211)),f822(a107,x144211))),x144211))),
% 218.74/218.83 inference(rename_variables,[],[10798])).
% 218.74/218.83 cnf(14432,plain,
% 218.74/218.83 (P144(f822(f822(f226(a885),x144321),f822(f822(f80(a885),x144321),x144321)))),
% 218.74/218.83 inference(rename_variables,[],[3586])).
% 218.74/218.83 cnf(14435,plain,
% 218.74/218.83 (P144(f822(f822(f226(f892(x144351,a882)),f822(f164(x144351),f822(f128(x144351,x144352),x144353))),f822(f164(x144351),x144353)))),
% 218.74/218.83 inference(rename_variables,[],[3963])).
% 218.74/218.83 cnf(14440,plain,
% 218.74/218.83 (~P144(f822(f822(f318(f891(x144401,x144401)),x144402),f254(x144401,f182(f892(x144401,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[11048])).
% 218.74/218.83 cnf(14447,plain,
% 218.74/218.83 (P144(f822(f822(f226(f892(x144471,a882)),f822(f164(x144471),f822(f128(x144471,x144472),x144473))),f822(f164(x144471),x144473)))),
% 218.74/218.83 inference(rename_variables,[],[3963])).
% 218.74/218.83 cnf(14464,plain,
% 218.74/218.83 (~E(f822(f822(f143(x144641),x144642),x144643),x144643)),
% 218.74/218.83 inference(rename_variables,[],[4483])).
% 218.74/218.83 cnf(14471,plain,
% 218.74/218.83 (P144(f822(f822(f276(a885),f822(a107,f2(a885))),x144711))),
% 218.74/218.83 inference(rename_variables,[],[3477])).
% 218.74/218.83 cnf(14496,plain,
% 218.74/218.83 (~P144(f822(f822(f318(f891(f887(x144961),f887(x144961))),f822(f822(f243(f887(x144961),f887(x144961)),x144962),f108(x144961))),f149(x144961,x144963)))),
% 218.74/218.83 inference(rename_variables,[],[4546])).
% 218.74/218.83 cnf(14505,plain,
% 218.74/218.83 (P144(f822(f822(f226(a885),f2(a885)),x145051))),
% 218.74/218.83 inference(rename_variables,[],[3346])).
% 218.74/218.83 cnf(14510,plain,
% 218.74/218.83 (~P144(f822(f822(f318(f891(x145101,x145101)),x145102),f254(x145101,f182(f892(x145101,a882)))))),
% 218.74/218.83 inference(rename_variables,[],[11048])).
% 218.74/218.83 cnf(14516,plain,
% 218.74/218.83 (E(f822(f822(f126(x145161),x145162),f108(x145161)),x145162)),
% 218.74/218.83 inference(rename_variables,[],[3257])).
% 218.74/218.83 cnf(14545,plain,
% 218.74/218.83 (~P144(f822(f822(f227(a885),x145451),x145451))),
% 218.74/218.83 inference(rename_variables,[],[4515])).
% 218.74/218.83 cnf(14575,plain,
% 218.74/218.83 ($false),
% 218.74/218.83 inference(scs_inference,[],[3352,3759,4053,3903,4091,3122,4541,3328,3954,3399,4544,13916,4516,4510,3416,3772,4528,13673,13703,13803,13878,13911,13964,14004,14192,14203,3963,13708,13755,13821,14099,14418,14435,14447,3327,13667,13890,14060,3921,13617,13940,14118,14273,14321,4474,4483,13607,13670,13696,13835,13851,13919,13999,14016,14211,14304,14464,4490,13900,14161,4504,13734,3309,3403,4084,3325,3326,13784,3777,3346,14084,14505,3632,3767,3617,13956,14026,14217,3769,13908,3477,14471,3586,13787,13953,14222,14250,14380,14432,3585,13797,13854,13893,4187,3770,3771,3286,13687,3257,14139,14206,14516,3281,13924,4545,4546,14496,4548,13980,4515,13621,13800,13887,14063,14545,4525,13873,4538,14043,14066,14092,14106,4537,4542,13724,4539,14035,4540,13986,14130,11621,13684,13772,10400,14182,13191,10454,12850,11952,11994,12589,11439,13384,12357,10692,11652,11176,12591,12620,12627,11035,11273,13943,10999,12351,10862,13818,13903,14156,11890,13626,4302,12649,10991,11030,11340,13769,10988,11295,11076,13721,14013,14133,14136,14170,11032,10508,11391,10630,3358,3271,11239,10387,11322,11083,13101,13104,10816,13424,11775,12304,12297,11263,11309,12398,10361,11882,11884,13647,13658,13737,13812,13861,14189,11948,11940,10810,12848,11231,11048,13610,13777,13868,13937,14055,14225,14266,14440,14510,12213,11051,13642,13983,14253,11268,13848,14195,11375,11343,10798,14214,14332,14421,10906,12157,12160,11450,11278,11301,13731,11063,11305,13792,3092,11689,4307,9,2,8691,9872,4976,5647,8699,8,5414,5837,5210,5038,6295,6457,8876,9077,8626,9305,4833,6881,4735,5583,6276,6837,8878,4978,5585,5980,6127,8690,9108,5163,6839,7640,6788,10010,4730,6084,7525,5869,8613,8818,9481,6753,6789,8600,9343,5047,4604,6410,4639,5934,5928,6159,9364,9719,9774,6584,6787,6214,5994,10282,6365,5235,8511,6129,5221,5337,5398,5310,6347,10011,9141,5555,5480,4898,5602,6829,8053,8683,6408,7435,5797,4952,5346,8649,6536,9148,5554,5505,8902,5278,6039,8990,7023,7238,4770,6161,6407,7658,8566,8564,5614,6132,10142,6489,9765,5768,7843,10296,7806,5200,8476,10043,5686,7588,8305,9293,5646,6358,8692,6106,5573,5750,6088,9315,9906,6124,10048,4583,5754,5694,8629,8731,9388,5743,10225,9361,8144,7255,9646,4692,6953,9600,6685,6287,6810,5756,7989,9415,5228,7424,5356,9674,9957,6258,6211,6224,8628,5020,5048,5308,9124,9520,9550,10000,5752,4642,5309,6163,7728,5932,9625,8540,8773,5457,7234,8620,9003,4882,5026,6085,7459,8161,8561,9656,5331,7591,5956,6581,9476,5761,6627,6938,5775,5705,6351,6628,9797,5816,6204,6769,8672,9658,5612,5748,9720,6855,9521,7540,5324,5442,5693,5697,5116,5764,4690,5054,5553,6868,5375,6164,6568,5511,6203,6467,5406,5843,4953,5246,5172,5220,5293,6166,6411,9825,8777,5739,6062,8022,8657,9304,6065,7328,10023,5053,5740,6023,8866,9566,8625,7821,9584,7407,4694,4977,5046,7549,9357,9655,8348,6978,8128,8562,5202,6123,7639,8492,8687,10224,6303,7015,7595,9001,5567,6838,7262,4636,5186,5892,6311,6406,7146,8557,8647,5305,8563,5341,5745,5828,6108,6569,8542,8816,8834,4883,6262,4975,7457,5783,6260,7962,7265,10006,5933,5781,9140,9183,5164,5483,5566,7746,8857,10013,5803,9657,5701,7176,5954,5835,8833,9999,6518,7937,8145,9823,5536,5946,6979,4686,8565,9109,6419,8903,8914,8689,4764,5362,5692,6817,8730,9904,9303,5985,6313,8601,5105,5215,7871,9387,9713,4912,4685,6402,6835,6973,8627,9110,7883,6515,8329,8470,8704,9522,10004,10022,6866,5539,6160,9672,9991,8963,4924,5343,5456,8713,5238,6105,6220,6321,6711,9712,9551,6104,6133,5915,9910,6349,7409,9013,6274,5804,7869,8585,9848,6264,4670]),
% 218.74/218.83 ['proof']).
% 218.74/218.83 % SZS output end Proof
% 218.74/218.83 % Total time :178.220000s
%------------------------------------------------------------------------------